Details

analyze410.0ms (2.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	74.9%	25.1%	5
0%	74.9%	25.1%	6
0%	74.9%	25.1%	7
6.2%	56.2%	37.6%	8
7.8%	53%	39.2%	9
9.4%	47.2%	43.4%	10
15.2%	34.5%	50.3%	11
17.6%	31.1%	51.3%	12

Compiler

Compiled 28 to 21 computations (25% saved)

sample4.8s (27.1%)

Results

3.0s	8256×	body	256	valid
1.8s	3556×	body	256	invalid

preprocess121.0ms (0.7%)

Algorithm

2×	egg-herbie

Rules

872×	`fma-def_binary64`
778×	`sub-neg_binary64`
536×	`fma-neg_binary64`
462×	`cancel-sign-sub-inv_binary64`
410×	`distribute-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	128
1	118	128
2	307	124
3	1007	120
4	2382	120
5	4750	120
6	7422	120
0	3	3

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

Inputs
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 y 1/2) (log.f64 y)) y) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 x 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) y))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 z 1/2) (log.f64 z)) z) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) x) 13888888888889/5000000000000000) x) 83333333333333/1000000000000000) z))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 z 7936500793651/10000000000000000) y) 13888888888889/5000000000000000) y) 83333333333333/1000000000000000) x))

Outputs
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x) (+.f64 91893853320467/100000000000000 (/.f64 (fma.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) z 83333333333333/1000000000000000) x)))
(+.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x) (+.f64 91893853320467/100000000000000 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)))
(+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (fma.f64 -1 x 91893853320467/100000000000000)) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
(+.f64 91893853320467/100000000000000 (-.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) x))
(+.f64 (-.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) x) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 y 1/2) (log.f64 y)) y) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 x 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) y))
(+.f64 (+.f64 91893853320467/100000000000000 (-.f64 (*.f64 (+.f64 y -1/2) (log.f64 y)) y)) (/.f64 (fma.f64 (fma.f64 (+.f64 x 7936500793651/10000000000000000) z -13888888888889/5000000000000000) z 83333333333333/1000000000000000) y))
(+.f64 91893853320467/100000000000000 (+.f64 (-.f64 (*.f64 (+.f64 y -1/2) (log.f64 y)) y) (/.f64 (fma.f64 z (fma.f64 z (+.f64 x 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) y)))
(+.f64 (fma.f64 (+.f64 y -1/2) (log.f64 y) (fma.f64 -1 y 91893853320467/100000000000000)) (/.f64 (fma.f64 z (fma.f64 z (+.f64 x 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) y))
(+.f64 91893853320467/100000000000000 (-.f64 (fma.f64 (+.f64 y -1/2) (log.f64 y) (/.f64 (fma.f64 z (fma.f64 z (+.f64 x 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) y)) y))
(+.f64 (fma.f64 (+.f64 y -1/2) (log.f64 y) (-.f64 91893853320467/100000000000000 y)) (/.f64 (fma.f64 z (fma.f64 z (+.f64 x 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) y))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 z 1/2) (log.f64 z)) z) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) x) 13888888888889/5000000000000000) x) 83333333333333/1000000000000000) z))
(+.f64 (-.f64 (*.f64 (+.f64 z -1/2) (log.f64 z)) z) (+.f64 91893853320467/100000000000000 (/.f64 (fma.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) x -13888888888889/5000000000000000) x 83333333333333/1000000000000000) z)))
(+.f64 (fma.f64 (+.f64 z -1/2) (log.f64 z) (neg.f64 z)) (+.f64 91893853320467/100000000000000 (/.f64 (fma.f64 x (fma.f64 x (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) z)))
(+.f64 (fma.f64 (+.f64 z -1/2) (log.f64 z) (fma.f64 -1 z 91893853320467/100000000000000)) (/.f64 (fma.f64 x (fma.f64 x (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) z))
(+.f64 (fma.f64 (+.f64 z -1/2) (log.f64 z) (-.f64 91893853320467/100000000000000 z)) (/.f64 (fma.f64 x (fma.f64 x (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) z))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 z 7936500793651/10000000000000000) y) 13888888888889/5000000000000000) y) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (fma.f64 (fma.f64 (+.f64 7936500793651/10000000000000000 z) y -13888888888889/5000000000000000) y 83333333333333/1000000000000000) x))
(+.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x) (+.f64 91893853320467/100000000000000 (/.f64 (fma.f64 y (fma.f64 y (+.f64 7936500793651/10000000000000000 z) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)))
(+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (fma.f64 -1 x 91893853320467/100000000000000)) (/.f64 (fma.f64 y (fma.f64 y (+.f64 7936500793651/10000000000000000 z) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
(+.f64 91893853320467/100000000000000 (-.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (/.f64 (fma.f64 y (fma.f64 y (+.f64 7936500793651/10000000000000000 z) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) x))
(+.f64 (-.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) x) (/.f64 (fma.f64 y (fma.f64 y (+.f64 7936500793651/10000000000000000 z) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))

Compiler

Compiled 30 to 23 computations (23.3% saved)

simplify104.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

729×	`associate-/l*_binary64`
688×	`fma-def_binary64`
568×	`fma-neg_binary64`
439×	`div-sub_binary64`
435×	`sub-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	21	32
1	43	32
2	100	31
3	298	30
4	672	30
5	1488	30
6	2883	30
7	4996	30
8	6404	30

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

Inputs

(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))

Outputs
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (fma.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) z 83333333333333/1000000000000000) x))
(+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 (+.f64 x -91893853320467/100000000000000))) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
(+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (fma.f64 -1 x 91893853320467/100000000000000)) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
(+.f64 91893853320467/100000000000000 (-.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) x))
(+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
(+.f64 91893853320467/100000000000000 (-.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) (fma.f64 (log.f64 x) (-.f64 1/2 x) x)))

eval1.0ms (0%)

Compiler: Compiled 48 to 33 computations (31.3% saved)

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Kept	Total
New	2	2
Fresh	1	1
Picked	0	0
Done	0	0
Total	3	3

Error

4.7b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	4.8b	(+.f64 91893853320467/100000000000000 (-.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) (fma.f64 (log.f64 x) (-.f64 1/2 x) x)))
▶	4.8b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))

Status

Error

Program

▶

4.8b

(+.f64 91893853320467/100000000000000 (-.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) (fma.f64 (log.f64 x) (-.f64 1/2 x) x)))

▶

4.8b

(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))

Compiler

Compiled 51 to 37 computations (27.5% saved)

localize186.0ms (1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 y 7936500793651/10000000000000000)
✓	0.1b	(fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)
✓	0.1b	(fma.f64 (log.f64 x) (-.f64 1/2 x) x)
✓	4.6b	(/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)

Compiler

Compiled 92 to 57 computations (38% saved)

series41.0ms (0.2%)

Counts

4 → 84

Calls

21 calls:

Time	Variable		Point	Expression
23.0ms	x	@	-inf	(fma.f64 (log.f64 x) (-.f64 1/2 x) x)
6.0ms	x	@	0	(fma.f64 (log.f64 x) (-.f64 1/2 x) x)
2.0ms	x	@	inf	(fma.f64 (log.f64 x) (-.f64 1/2 x) x)
1.0ms	y	@	-inf	(/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)
1.0ms	x	@	0	(/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)

rewrite106.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

685×	`log-prod_binary64`
294×	`pow1/3_binary64`
294×	`expm1-udef_binary64`
294×	`log1p-udef_binary64`
269×	`pow3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	41
1	328	41
2	4106	41

Stop Event

1×	node limit

Counts

4 → 129

Calls

Call 1

Inputs
(/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)
(fma.f64 (log.f64 x) (-.f64 1/2 x) x)
(fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)
(+.f64 y 7936500793651/10000000000000000)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))) (cbrt.f64 (exp.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) 2)) (.f64 (cbrt.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) 2) (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) 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7936500793651/10000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 499904667923684346908081313317095473451/1000000000000000000000000000000000000000000000000 (pow.f64 y 3)) (/.f64 1 (-.f64 (fma.f64 y y 62988044847622952881909801/100000000000000000000000000000000) (.f64 y 7936500793651/10000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 y y -62988044847622952881909801/100000000000000000000000000000000) (/.f64 1 (+.f64 y -7936500793651/10000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (fma.f64 y y 62988044847622952881909801/100000000000000000000000000000000) (.f64 y 7936500793651/10000000000000000)) (+.f64 499904667923684346908081313317095473451/1000000000000000000000000000000000000000000000000 (pow.f64 y 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 y -7936500793651/10000000000000000) (fma.f64 y y -62988044847622952881909801/100000000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 499904667923684346908081313317095473451/1000000000000000000000000000000000000000000000000 (pow.f64 y 3)) (-.f64 (fma.f64 y y 62988044847622952881909801/100000000000000000000000000000000) (.f64 y 7936500793651/10000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 499904667923684346908081313317095473451/1000000000000000000000000000000000000000000000000 (pow.f64 y 3)) (+.f64 62988044847622952881909801/100000000000000000000000000000000 (-.f64 (.f64 y y) (.f64 y 7936500793651/10000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 y y -62988044847622952881909801/100000000000000000000000000000000) (+.f64 y -7936500793651/10000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 499904667923684346908081313317095473451/1000000000000000000000000000000000000000000000000 (pow.f64 y 3))) (neg.f64 (-.f64 (fma.f64 y y 62988044847622952881909801/100000000000000000000000000000000) (.f64 y 7936500793651/10000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 y y -62988044847622952881909801/100000000000000000000000000000000)) (neg.f64 (+.f64 y -7936500793651/10000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 62988044847622952881909801/100000000000000000000000000000000 (.f64 y y)) (-.f64 7936500793651/10000000000000000 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 y 7936500793651/10000000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 y 7936500793651/10000000000000000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 y 7936500793651/10000000000000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 y 7936500793651/10000000000000000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (fma.f64 y y 62988044847622952881909801/100000000000000000000000000000000) (.f64 y 7936500793651/10000000000000000)) (+.f64 499904667923684346908081313317095473451/1000000000000000000000000000000000000000000000000 (pow.f64 y 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 y -7936500793651/10000000000000000) (fma.f64 y y -62988044847622952881909801/100000000000000000000000000000000)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 y 7936500793651/10000000000000000) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 y 7936500793651/10000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 y 7936500793651/10000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 y 7936500793651/10000000000000000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 y 7936500793651/10000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 y 7936500793651/10000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 y 7936500793651/10000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (+.f64 y 7936500793651/10000000000000000)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y 1 7936500793651/10000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 y 7936500793651/10000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 y) (cbrt.f64 (.f64 y y)) 7936500793651/10000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 y y)) (cbrt.f64 y) 7936500793651/10000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (sqrt.f64 y) 7936500793651/10000000000000000)))))

simplify94.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

708×	`fma-neg_binary64`
594×	`fma-def_binary64`
519×	`associate-/l*_binary64`
311×	`distribute-rgt-out_binary64`
305×	`associate-/r*_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	76	1316
1	198	1177
2	438	1147
3	1084	1073
4	3521	985

Stop Event

1×	node limit

Counts

213 → 174

Calls

Call 1

Inputs
(/.f64 83333333333333/1000000000000000 x)
(+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (.f64 -13888888888889/5000000000000000 (/.f64 z x)) (.f64 (+.f64 (/.f64 y x) (.f64 7936500793651/10000000000000000 (/.f64 1 x))) (pow.f64 z 2))))
(+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (.f64 -13888888888889/5000000000000000 (/.f64 z x)) (.f64 (+.f64 (/.f64 y x) (.f64 7936500793651/10000000000000000 (/.f64 1 x))) (pow.f64 z 2))))
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(+.f64 (/.f64 (.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x) (.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(+.f64 (/.f64 (.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x) (.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(/.f64 (+.f64 83333333333333/1000000000000000 (.f64 (-.f64 (.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z)) x)
(+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (/.f64 (.f64 (-.f64 (.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x)))
(+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (/.f64 (.f64 (-.f64 (.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x)))
(+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (/.f64 (.f64 (-.f64 (.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x)))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (/.f64 (.f64 (-.f64 (.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x)))
(+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (/.f64 (.f64 (-.f64 (.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x)))
(+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (/.f64 (.f64 (-.f64 (.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x)))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (/.f64 (.f64 (-.f64 (.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x)))
(+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (/.f64 (.f64 (-.f64 (.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x)))
(+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (/.f64 (.f64 (-.f64 (.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x)))
(/.f64 (+.f64 83333333333333/1000000000000000 (.f64 (-.f64 (.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z)) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (.f64 (-.f64 (.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z)) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (.f64 (-.f64 (.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z)) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (.f64 (-.f64 (.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z)) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (.f64 (-.f64 (.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z)) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (.f64 (-.f64 (.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z)) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (.f64 (-.f64 (.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z)) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (.f64 (-.f64 (.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z)) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (.f64 (-.f64 (.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z)) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (.f64 (-.f64 (.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z)) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (.f64 (-.f64 (.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z)) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (.f64 (-.f64 (.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z)) x)
(*.f64 1/2 (log.f64 x))
(+.f64 (.f64 (+.f64 1 (.f64 -1 (log.f64 x))) x) (*.f64 1/2 (log.f64 x)))
(+.f64 (.f64 (+.f64 1 (.f64 -1 (log.f64 x))) x) (*.f64 1/2 (log.f64 x)))
(+.f64 (.f64 (+.f64 1 (.f64 -1 (log.f64 x))) x) (*.f64 1/2 (log.f64 x)))
(*.f64 (+.f64 1 (log.f64 (/.f64 1 x))) x)
(+.f64 (.f64 (+.f64 1 (log.f64 (/.f64 1 x))) x) (.f64 -1/2 (log.f64 (/.f64 1 x))))
(+.f64 (.f64 (+.f64 1 (log.f64 (/.f64 1 x))) x) (.f64 -1/2 (log.f64 (/.f64 1 x))))
(+.f64 (.f64 (+.f64 1 (log.f64 (/.f64 1 x))) x) (.f64 -1/2 (log.f64 (/.f64 1 x))))
(.f64 -1 (.f64 (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 1) x))
(+.f64 (.f64 1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (.f64 -1 (.f64 (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 1) x)))
(+.f64 (.f64 1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (.f64 -1 (.f64 (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 1) x)))
(+.f64 (.f64 1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (.f64 -1 (.f64 (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 1) x)))
83333333333333/1000000000000000
(+.f64 83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z))
(+.f64 83333333333333/1000000000000000 (+.f64 (.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) (.f64 -13888888888889/5000000000000000 z)))
(+.f64 83333333333333/1000000000000000 (+.f64 (.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) (.f64 -13888888888889/5000000000000000 z)))
(*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y))
(+.f64 (.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) (.f64 -13888888888889/5000000000000000 z))
(+.f64 83333333333333/1000000000000000 (+.f64 (.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) (.f64 -13888888888889/5000000000000000 z)))
(+.f64 83333333333333/1000000000000000 (+.f64 (.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) (.f64 -13888888888889/5000000000000000 z)))
(*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y))
(+.f64 (.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) (.f64 -13888888888889/5000000000000000 z))
(+.f64 83333333333333/1000000000000000 (+.f64 (.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) (.f64 -13888888888889/5000000000000000 z)))
(+.f64 83333333333333/1000000000000000 (+.f64 (.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) (.f64 -13888888888889/5000000000000000 z)))
(+.f64 83333333333333/1000000000000000 (.f64 (-.f64 (.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z))
(+.f64 (.f64 y (pow.f64 z 2)) (+.f64 83333333333333/1000000000000000 (.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z)))
(+.f64 (.f64 y (pow.f64 z 2)) (+.f64 83333333333333/1000000000000000 (.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z)))
(+.f64 (.f64 y (pow.f64 z 2)) (+.f64 83333333333333/1000000000000000 (.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z)))
(*.f64 y (pow.f64 z 2))
(+.f64 83333333333333/1000000000000000 (+.f64 (.f64 y (pow.f64 z 2)) (.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z)))
(+.f64 83333333333333/1000000000000000 (+.f64 (.f64 y (pow.f64 z 2)) (.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z)))
(+.f64 83333333333333/1000000000000000 (+.f64 (.f64 y (pow.f64 z 2)) (.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z)))
(*.f64 y (pow.f64 z 2))
(+.f64 83333333333333/1000000000000000 (+.f64 (.f64 y (pow.f64 z 2)) (.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z)))
(+.f64 83333333333333/1000000000000000 (+.f64 (.f64 y (pow.f64 z 2)) (.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z)))
(+.f64 83333333333333/1000000000000000 (+.f64 (.f64 y (pow.f64 z 2)) (.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z)))
7936500793651/10000000000000000
(+.f64 7936500793651/10000000000000000 y)
(+.f64 7936500793651/10000000000000000 y)
(+.f64 7936500793651/10000000000000000 y)
y
(+.f64 7936500793651/10000000000000000 y)
(+.f64 7936500793651/10000000000000000 y)
(+.f64 7936500793651/10000000000000000 y)
y
(+.f64 7936500793651/10000000000000000 y)
(+.f64 7936500793651/10000000000000000 y)
(+.f64 7936500793651/10000000000000000 y)

Outputs
(/.f64 83333333333333/1000000000000000 x)
(+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (.f64 -13888888888889/5000000000000000 (/.f64 z x)) (.f64 (+.f64 (/.f64 y x) (.f64 7936500793651/10000000000000000 (/.f64 1 x))) (pow.f64 z 2))))
(+.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (.f64 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x)) (.f64 z z))))
(+.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x)) (*.f64 z z) (/.f64 z (/.f64 x -13888888888889/5000000000000000))))
(fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (fma.f64 z (*.f64 z (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))) (/.f64 83333333333333/1000000000000000 x)))
(fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (fma.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 (/.f64 z x) z) (/.f64 83333333333333/1000000000000000 x)))
(+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 (/.f64 z x) (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000)))
(+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (.f64 -13888888888889/5000000000000000 (/.f64 z x)) (.f64 (+.f64 (/.f64 y x) (.f64 7936500793651/10000000000000000 (/.f64 1 x))) (pow.f64 z 2))))
(+.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (.f64 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x)) (.f64 z z))))
(+.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x)) (*.f64 z z) (/.f64 z (/.f64 x -13888888888889/5000000000000000))))
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(/.f64 (+.f64 83333333333333/1000000000000000 (.f64 (-.f64 (.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z)) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000))) x)
(/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (.f64 (-.f64 (.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z)) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000))) x)
(/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (.f64 (-.f64 (.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z)) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000))) x)
(/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (.f64 (-.f64 (.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z)) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000))) x)
(/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (.f64 (-.f64 (.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z)) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000))) x)
(/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (.f64 (-.f64 (.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z)) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000))) x)
(/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (.f64 (-.f64 (.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z)) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000))) x)
(/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (.f64 (-.f64 (.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z)) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000))) x)
(/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (.f64 (-.f64 (.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z)) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000))) x)
(/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (.f64 (-.f64 (.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z)) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000))) x)
(/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)
(*.f64 1/2 (log.f64 x))
(+.f64 (.f64 (+.f64 1 (.f64 -1 (log.f64 x))) x) (*.f64 1/2 (log.f64 x)))
(fma.f64 (+.f64 1 (neg.f64 (log.f64 x))) x (*.f64 1/2 (log.f64 x)))
(fma.f64 x (-.f64 1 (log.f64 x)) (*.f64 1/2 (log.f64 x)))
(+.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x)))
(fma.f64 (log.f64 x) (-.f64 1/2 x) x)
(+.f64 (.f64 (+.f64 1 (.f64 -1 (log.f64 x))) x) (*.f64 1/2 (log.f64 x)))
(fma.f64 (+.f64 1 (neg.f64 (log.f64 x))) x (*.f64 1/2 (log.f64 x)))
(fma.f64 x (-.f64 1 (log.f64 x)) (*.f64 1/2 (log.f64 x)))
(+.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x)))
(fma.f64 (log.f64 x) (-.f64 1/2 x) x)
(+.f64 (.f64 (+.f64 1 (.f64 -1 (log.f64 x))) x) (*.f64 1/2 (log.f64 x)))
(fma.f64 (+.f64 1 (neg.f64 (log.f64 x))) x (*.f64 1/2 (log.f64 x)))
(fma.f64 x (-.f64 1 (log.f64 x)) (*.f64 1/2 (log.f64 x)))
(+.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x)))
(fma.f64 (log.f64 x) (-.f64 1/2 x) x)
(*.f64 (+.f64 1 (log.f64 (/.f64 1 x))) x)
(*.f64 x (+.f64 1 (neg.f64 (log.f64 x))))
(*.f64 x (-.f64 1 (log.f64 x)))
(-.f64 x (*.f64 x (log.f64 x)))
(fma.f64 x (neg.f64 (log.f64 x)) x)
(+.f64 (.f64 (+.f64 1 (log.f64 (/.f64 1 x))) x) (.f64 -1/2 (log.f64 (/.f64 1 x))))
(fma.f64 (+.f64 1 (neg.f64 (log.f64 x))) x (*.f64 1/2 (log.f64 x)))
(fma.f64 x (-.f64 1 (log.f64 x)) (*.f64 1/2 (log.f64 x)))
(+.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x)))
(fma.f64 (log.f64 x) (-.f64 1/2 x) x)
(+.f64 (.f64 (+.f64 1 (log.f64 (/.f64 1 x))) x) (.f64 -1/2 (log.f64 (/.f64 1 x))))
(fma.f64 (+.f64 1 (neg.f64 (log.f64 x))) x (*.f64 1/2 (log.f64 x)))
(fma.f64 x (-.f64 1 (log.f64 x)) (*.f64 1/2 (log.f64 x)))
(+.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x)))
(fma.f64 (log.f64 x) (-.f64 1/2 x) x)
(+.f64 (.f64 (+.f64 1 (log.f64 (/.f64 1 x))) x) (.f64 -1/2 (log.f64 (/.f64 1 x))))
(fma.f64 (+.f64 1 (neg.f64 (log.f64 x))) x (*.f64 1/2 (log.f64 x)))
(fma.f64 x (-.f64 1 (log.f64 x)) (*.f64 1/2 (log.f64 x)))
(+.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x)))
(fma.f64 (log.f64 x) (-.f64 1/2 x) x)
(.f64 -1 (.f64 (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 1) x))
(*.f64 x (+.f64 1 (neg.f64 (log.f64 x))))
(*.f64 x (-.f64 1 (log.f64 x)))
(-.f64 x (*.f64 x (log.f64 x)))
(fma.f64 x (neg.f64 (log.f64 x)) x)
(+.f64 (.f64 1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (.f64 -1 (.f64 (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 1) x)))
(fma.f64 (+.f64 1 (neg.f64 (log.f64 x))) x (*.f64 1/2 (log.f64 x)))
(fma.f64 x (-.f64 1 (log.f64 x)) (*.f64 1/2 (log.f64 x)))
(+.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x)))
(fma.f64 (log.f64 x) (-.f64 1/2 x) x)
(+.f64 (.f64 1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (.f64 -1 (.f64 (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 1) x)))
(fma.f64 (+.f64 1 (neg.f64 (log.f64 x))) x (*.f64 1/2 (log.f64 x)))
(fma.f64 x (-.f64 1 (log.f64 x)) (*.f64 1/2 (log.f64 x)))
(+.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x)))
(fma.f64 (log.f64 x) (-.f64 1/2 x) x)
(+.f64 (.f64 1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (.f64 -1 (.f64 (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 1) x)))
(fma.f64 (+.f64 1 (neg.f64 (log.f64 x))) x (*.f64 1/2 (log.f64 x)))
(fma.f64 x (-.f64 1 (log.f64 x)) (*.f64 1/2 (log.f64 x)))
(+.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x)))
(fma.f64 (log.f64 x) (-.f64 1/2 x) x)
83333333333333/1000000000000000
(+.f64 83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z))
(fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)
(+.f64 83333333333333/1000000000000000 (+.f64 (.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) (.f64 -13888888888889/5000000000000000 z)))
(+.f64 83333333333333/1000000000000000 (fma.f64 (.f64 z z) (+.f64 y 7936500793651/10000000000000000) (.f64 -13888888888889/5000000000000000 z)))
(fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000)
(+.f64 83333333333333/1000000000000000 (+.f64 (.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) (.f64 -13888888888889/5000000000000000 z)))
(+.f64 83333333333333/1000000000000000 (fma.f64 (.f64 z z) (+.f64 y 7936500793651/10000000000000000) (.f64 -13888888888889/5000000000000000 z)))
(fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000)
(*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y))
(.f64 (.f64 z z) (+.f64 y 7936500793651/10000000000000000))
(.f64 z (.f64 z (+.f64 y 7936500793651/10000000000000000)))
(+.f64 (.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) (.f64 -13888888888889/5000000000000000 z))
(fma.f64 (.f64 z z) (+.f64 y 7936500793651/10000000000000000) (.f64 -13888888888889/5000000000000000 z))
(*.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000))
(+.f64 83333333333333/1000000000000000 (+.f64 (.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) (.f64 -13888888888889/5000000000000000 z)))
(+.f64 83333333333333/1000000000000000 (fma.f64 (.f64 z z) (+.f64 y 7936500793651/10000000000000000) (.f64 -13888888888889/5000000000000000 z)))
(fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000)
(+.f64 83333333333333/1000000000000000 (+.f64 (.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) (.f64 -13888888888889/5000000000000000 z)))
(+.f64 83333333333333/1000000000000000 (fma.f64 (.f64 z z) (+.f64 y 7936500793651/10000000000000000) (.f64 -13888888888889/5000000000000000 z)))
(fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000)
(*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y))
(.f64 (.f64 z z) (+.f64 y 7936500793651/10000000000000000))
(.f64 z (.f64 z (+.f64 y 7936500793651/10000000000000000)))
(+.f64 (.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) (.f64 -13888888888889/5000000000000000 z))
(fma.f64 (.f64 z z) (+.f64 y 7936500793651/10000000000000000) (.f64 -13888888888889/5000000000000000 z))
(*.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000))
(+.f64 83333333333333/1000000000000000 (+.f64 (.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) (.f64 -13888888888889/5000000000000000 z)))
(+.f64 83333333333333/1000000000000000 (fma.f64 (.f64 z z) (+.f64 y 7936500793651/10000000000000000) (.f64 -13888888888889/5000000000000000 z)))
(fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000)
(+.f64 83333333333333/1000000000000000 (+.f64 (.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) (.f64 -13888888888889/5000000000000000 z)))
(+.f64 83333333333333/1000000000000000 (fma.f64 (.f64 z z) (+.f64 y 7936500793651/10000000000000000) (.f64 -13888888888889/5000000000000000 z)))
(fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000)
(+.f64 83333333333333/1000000000000000 (.f64 (-.f64 (.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z))
(+.f64 83333333333333/1000000000000000 (*.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000)))
(fma.f64 z (fma.f64 z 7936500793651/10000000000000000 -13888888888889/5000000000000000) 83333333333333/1000000000000000)
(+.f64 (.f64 y (pow.f64 z 2)) (+.f64 83333333333333/1000000000000000 (.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z)))
(+.f64 83333333333333/1000000000000000 (fma.f64 (.f64 z z) (+.f64 y 7936500793651/10000000000000000) (.f64 -13888888888889/5000000000000000 z)))
(fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000)
(+.f64 (.f64 y (pow.f64 z 2)) (+.f64 83333333333333/1000000000000000 (.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z)))
(+.f64 83333333333333/1000000000000000 (fma.f64 (.f64 z z) (+.f64 y 7936500793651/10000000000000000) (.f64 -13888888888889/5000000000000000 z)))
(fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000)
(+.f64 (.f64 y (pow.f64 z 2)) (+.f64 83333333333333/1000000000000000 (.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z)))
(+.f64 83333333333333/1000000000000000 (fma.f64 (.f64 z z) (+.f64 y 7936500793651/10000000000000000) (.f64 -13888888888889/5000000000000000 z)))
(fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000)
(*.f64 y (pow.f64 z 2))
(.f64 y (.f64 z z))
(.f64 z (.f64 z y))
(+.f64 83333333333333/1000000000000000 (+.f64 (.f64 y (pow.f64 z 2)) (.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z)))
(+.f64 83333333333333/1000000000000000 (fma.f64 (.f64 z z) (+.f64 y 7936500793651/10000000000000000) (.f64 -13888888888889/5000000000000000 z)))
(fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000)
(+.f64 83333333333333/1000000000000000 (+.f64 (.f64 y (pow.f64 z 2)) (.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z)))
(+.f64 83333333333333/1000000000000000 (fma.f64 (.f64 z z) (+.f64 y 7936500793651/10000000000000000) (.f64 -13888888888889/5000000000000000 z)))
(fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000)
(+.f64 83333333333333/1000000000000000 (+.f64 (.f64 y (pow.f64 z 2)) (.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z)))
(+.f64 83333333333333/1000000000000000 (fma.f64 (.f64 z z) (+.f64 y 7936500793651/10000000000000000) (.f64 -13888888888889/5000000000000000 z)))
(fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000)
(*.f64 y (pow.f64 z 2))
(.f64 y (.f64 z z))
(.f64 z (.f64 z y))
(+.f64 83333333333333/1000000000000000 (+.f64 (.f64 y (pow.f64 z 2)) (.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z)))
(+.f64 83333333333333/1000000000000000 (fma.f64 (.f64 z z) (+.f64 y 7936500793651/10000000000000000) (.f64 -13888888888889/5000000000000000 z)))
(fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000)
(+.f64 83333333333333/1000000000000000 (+.f64 (.f64 y (pow.f64 z 2)) (.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z)))
(+.f64 83333333333333/1000000000000000 (fma.f64 (.f64 z z) (+.f64 y 7936500793651/10000000000000000) (.f64 -13888888888889/5000000000000000 z)))
(fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000)
(+.f64 83333333333333/1000000000000000 (+.f64 (.f64 y (pow.f64 z 2)) (.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z)))
(+.f64 83333333333333/1000000000000000 (fma.f64 (.f64 z z) (+.f64 y 7936500793651/10000000000000000) (.f64 -13888888888889/5000000000000000 z)))
(fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000)
7936500793651/10000000000000000
(+.f64 7936500793651/10000000000000000 y)
(+.f64 y 7936500793651/10000000000000000)
(+.f64 7936500793651/10000000000000000 y)
(+.f64 y 7936500793651/10000000000000000)
(+.f64 7936500793651/10000000000000000 y)
(+.f64 y 7936500793651/10000000000000000)
y
(+.f64 7936500793651/10000000000000000 y)
(+.f64 y 7936500793651/10000000000000000)
(+.f64 7936500793651/10000000000000000 y)
(+.f64 y 7936500793651/10000000000000000)
(+.f64 7936500793651/10000000000000000 y)
(+.f64 y 7936500793651/10000000000000000)
y
(+.f64 7936500793651/10000000000000000 y)
(+.f64 y 7936500793651/10000000000000000)
(+.f64 7936500793651/10000000000000000 y)
(+.f64 y 7936500793651/10000000000000000)
(+.f64 7936500793651/10000000000000000 y)
(+.f64 y 7936500793651/10000000000000000)

localize102.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x)
✓	0.1b	(*.f64 (-.f64 x 1/2) (log.f64 x))
✓	0.2b	(+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000)
✓	4.6b	(/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)

Compiler

Compiled 112 to 73 computations (34.8% saved)

series9.0ms (0.1%)

Counts

4 → 72

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)
1.0ms	y	@	0	(/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)
1.0ms	z	@	-inf	(/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)
1.0ms	x	@	-inf	(+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000)
1.0ms	z	@	inf	(/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)

rewrite129.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

540×	`fma-neg_binary64`
427×	`expm1-udef_binary64`
427×	`log1p-udef_binary64`
243×	`add-sqr-sqrt_binary64`
230×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	51
1	474	51
2	6445	51

Stop Event

1×	node limit

Counts

4 → 152

Calls

Call 1

Inputs
(/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)
(+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000)
(*.f64 (-.f64 x 1/2) (log.f64 x))
(-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x)

Outputs
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(cbrt.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) 2) (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 z (fma.f64 (+.f64 y 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (+.f64 x -1/2) (log.f64 x)) (+.f64 x -91893853320467/100000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 (+.f64 x -91893853320467/100000000000000))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (-.f64 (.f64 (+.f64 x -1/2) (log.f64 x)) x) 2) (-.f64 (.f64 (+.f64 x -1/2) (log.f64 x)) (+.f64 x 91893853320467/100000000000000))) (/.f64 8444480278083503881401098089/10000000000000000000000000000 (-.f64 (.f64 (+.f64 x -1/2) (log.f64 x)) (+.f64 x 91893853320467/100000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 91893853320467/100000000000000 (.f64 (+.f64 x -1/2) (log.f64 x))) x)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 (+.f64 x -91893853320467/100000000000000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 (+.f64 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simplify100.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

447×	`associate-/l/_binary64`
432×	`distribute-rgt-out_binary64`
372×	`associate-/r/_binary64`
338×	`distribute-rgt-in_binary64`
277×	`unsub-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	83	1254
1	225	1155
2	549	1086
3	1600	972
4	4532	972

Stop Event

1×	node limit

Counts

224 → 191

Calls

Call 1

Inputs
(/.f64 (+.f64 83333333333333/1000000000000000 (.f64 (-.f64 (.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z)) x)
(+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (/.f64 (.f64 (-.f64 (.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x)))
(+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (/.f64 (.f64 (-.f64 (.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x)))
(+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (/.f64 (.f64 (-.f64 (.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x)))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (/.f64 (.f64 (-.f64 (.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x)))
(+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (/.f64 (.f64 (-.f64 (.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x)))
(+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (/.f64 (.f64 (-.f64 (.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x)))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (/.f64 (.f64 (-.f64 (.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x)))
(+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (/.f64 (.f64 (-.f64 (.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x)))
(+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (/.f64 (.f64 (-.f64 (.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x)))
(/.f64 83333333333333/1000000000000000 x)
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(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
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Outputs
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(.f64 -1 (.f64 (log.f64 (/.f64 1 x)) x))
(*.f64 (neg.f64 (neg.f64 (log.f64 x))) x)
(*.f64 x (log.f64 x))
(+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x)) x)) (*.f64 1/2 (log.f64 (/.f64 1 x))))
(fma.f64 -1/2 (log.f64 x) (*.f64 x (log.f64 x)))
(*.f64 (log.f64 x) (+.f64 -1/2 x))
(*.f64 (log.f64 x) (+.f64 x -1/2))
(+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x)) x)) (*.f64 1/2 (log.f64 (/.f64 1 x))))
(fma.f64 -1/2 (log.f64 x) (*.f64 x (log.f64 x)))
(*.f64 (log.f64 x) (+.f64 -1/2 x))
(*.f64 (log.f64 x) (+.f64 x -1/2))
(+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x)) x)) (*.f64 1/2 (log.f64 (/.f64 1 x))))
(fma.f64 -1/2 (log.f64 x) (*.f64 x (log.f64 x)))
(*.f64 (log.f64 x) (+.f64 -1/2 x))
(*.f64 (log.f64 x) (+.f64 x -1/2))
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)
(*.f64 (neg.f64 (neg.f64 (log.f64 x))) x)
(*.f64 x (log.f64 x))
(+.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x) (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(fma.f64 -1/2 (log.f64 x) (*.f64 x (log.f64 x)))
(*.f64 (log.f64 x) (+.f64 -1/2 x))
(*.f64 (log.f64 x) (+.f64 x -1/2))
(+.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x) (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(fma.f64 -1/2 (log.f64 x) (*.f64 x (log.f64 x)))
(*.f64 (log.f64 x) (+.f64 -1/2 x))
(*.f64 (log.f64 x) (+.f64 x -1/2))
(+.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x) (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(fma.f64 -1/2 (log.f64 x) (*.f64 x (log.f64 x)))
(*.f64 (log.f64 x) (+.f64 -1/2 x))
(*.f64 (log.f64 x) (+.f64 x -1/2))
(*.f64 -1/2 (log.f64 x))
(+.f64 (.f64 -1/2 (log.f64 x)) (.f64 (-.f64 (log.f64 x) 1) x))
(fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1)))
(fma.f64 x (+.f64 (log.f64 x) -1) (*.f64 -1/2 (log.f64 x)))
(+.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) (neg.f64 x))
(-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x)
(+.f64 (.f64 -1/2 (log.f64 x)) (.f64 (-.f64 (log.f64 x) 1) x))
(fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1)))
(fma.f64 x (+.f64 (log.f64 x) -1) (*.f64 -1/2 (log.f64 x)))
(+.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) (neg.f64 x))
(-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x)
(+.f64 (.f64 -1/2 (log.f64 x)) (.f64 (-.f64 (log.f64 x) 1) x))
(fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1)))
(fma.f64 x (+.f64 (log.f64 x) -1) (*.f64 -1/2 (log.f64 x)))
(+.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) (neg.f64 x))
(-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x)
(.f64 (-.f64 (.f64 -1 (log.f64 (/.f64 1 x))) 1) x)
(*.f64 x (fma.f64 -1 (neg.f64 (log.f64 x)) -1))
(*.f64 x (+.f64 (log.f64 x) -1))
(-.f64 (*.f64 x (log.f64 x)) x)
(+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 (/.f64 1 x))) 1) x) (*.f64 1/2 (log.f64 (/.f64 1 x))))
(fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1)))
(fma.f64 x (+.f64 (log.f64 x) -1) (*.f64 -1/2 (log.f64 x)))
(+.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) (neg.f64 x))
(-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x)
(+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 (/.f64 1 x))) 1) x) (*.f64 1/2 (log.f64 (/.f64 1 x))))
(fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1)))
(fma.f64 x (+.f64 (log.f64 x) -1) (*.f64 -1/2 (log.f64 x)))
(+.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) (neg.f64 x))
(-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x)
(+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 (/.f64 1 x))) 1) x) (*.f64 1/2 (log.f64 (/.f64 1 x))))
(fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1)))
(fma.f64 x (+.f64 (log.f64 x) -1) (*.f64 -1/2 (log.f64 x)))
(+.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) (neg.f64 x))
(-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x)
(.f64 -1 (.f64 x (+.f64 1 (.f64 -1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))
(*.f64 x (fma.f64 -1 (neg.f64 (log.f64 x)) -1))
(*.f64 x (+.f64 (log.f64 x) -1))
(-.f64 (*.f64 x (log.f64 x)) x)
(+.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (.f64 -1 (.f64 x (+.f64 1 (.f64 -1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))))
(fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1)))
(fma.f64 x (+.f64 (log.f64 x) -1) (*.f64 -1/2 (log.f64 x)))
(+.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) (neg.f64 x))
(-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x)
(+.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (.f64 -1 (.f64 x (+.f64 1 (.f64 -1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))))
(fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1)))
(fma.f64 x (+.f64 (log.f64 x) -1) (*.f64 -1/2 (log.f64 x)))
(+.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) (neg.f64 x))
(-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x)
(+.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (.f64 -1 (.f64 x (+.f64 1 (.f64 -1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))))
(fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1)))
(fma.f64 x (+.f64 (log.f64 x) -1) (*.f64 -1/2 (log.f64 x)))
(+.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) (neg.f64 x))
(-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x)

eval309.0ms (1.7%)

Compiler: Compiled 10365 to 6911 computations (33.3% saved)

prune149.0ms (0.8%)

Pruning

25 alts after pruning (25 fresh and 0 done)

	Pruned	Kept	Total
New	340	25	365
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	342	25	367

Error

0.0b

Counts

367 → 25

Alt Table

Click to see full alt table

Status	Error	Program
	5.3b	(+.f64 (+.f64 (-.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 x -1/2) (log.f64 x))) 3) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
	19.8b	(+.f64 91893853320467/100000000000000 (-.f64 (/.f64 (log.f64 (exp.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000))) x) (fma.f64 (log.f64 x) (-.f64 1/2 x) x)))
▶	9.3b	(+.f64 91893853320467/100000000000000 (-.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 (log.f64 x) (-.f64 1/2 x) x)))
	4.9b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x) (.f64 -13888888888889/5000000000000000 (/.f64 z x)))))
▶	9.4b	(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
	5.6b	(+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 (/.f64 1 x))) 1) x) (/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
	5.3b	(+.f64 91893853320467/100000000000000 (-.f64 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) (cbrt.f64 x))) (fma.f64 (log.f64 x) (-.f64 1/2 x) x)))
	22.8b	(+.f64 (+.f64 (-.f64 (/.f64 (.f64 (fma.f64 x x -1/4) (log.f64 x)) (+.f64 x 1/2)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
	32.3b	(+.f64 (fma.f64 (.f64 (+.f64 x -1/2) (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (neg.f64 (+.f64 x -91893853320467/100000000000000))) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
▶	0.9b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 83333333333333/1000000000000000 x) (.f64 (/.f64 z x) (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000))))
▶	8.2b	(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (pow.f64 (sqrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) 2))
	15.9b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 (/.f64 1 (cbrt.f64 (*.f64 x x))) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) (cbrt.f64 x))))
	20.6b	(+.f64 91893853320467/100000000000000 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) (.f64 z (/.f64 z x))) (fma.f64 (log.f64 x) (-.f64 1/2 x) x)))
	4.8b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (/.f64 (.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x))))
	5.2b	(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) 3))
▶	4.9b	(+.f64 (+.f64 (-.f64 (pow.f64 (sqrt.f64 (.f64 (+.f64 x -1/2) (log.f64 x))) 2) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
	4.9b	(+.f64 (fma.f64 (sqrt.f64 (.f64 (+.f64 x -1/2) (log.f64 x))) (sqrt.f64 (.f64 (+.f64 x -1/2) (log.f64 x))) (neg.f64 (+.f64 x -91893853320467/100000000000000))) (/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
	23.0b	(+.f64 (/.f64 1 (/.f64 (-.f64 (.f64 (+.f64 x -1/2) (log.f64 x)) (+.f64 x 91893853320467/100000000000000)) (+.f64 (pow.f64 (-.f64 (.f64 (+.f64 x -1/2) (log.f64 x)) x) 2) -8444480278083503881401098089/10000000000000000000000000000))) (/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
	5.3b	(+.f64 (+.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 (+.f64 x -1/2) (log.f64 x)) x)) 3) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
	9.5b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
	5.6b	(+.f64 (-.f64 (.f64 x (log.f64 x)) x) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
	26.5b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 y (/.f64 (*.f64 z z) x)))
	20.8b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 z (*.f64 z (/.f64 (+.f64 7936500793651/10000000000000000 y) x))))
	4.8b	(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (pow.f64 (/.f64 x (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) -1))
	5.0b	(+.f64 (+.f64 (pow.f64 (sqrt.f64 (-.f64 (.f64 (+.f64 x -1/2) (log.f64 x)) x)) 2) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))

Compiler

Compiled 1420 to 1042 computations (26.6% saved)

localize69.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 (-.f64 x 1/2) (log.f64 x))
	0.2b	(+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000)
✓	0.4b	(/.f64 83333333333333/1000000000000000 x)
✓	2.3b	(*.f64 (/.f64 z x) (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000))

Compiler

Compiled 104 to 61 computations (41.3% saved)

series49.0ms (0.3%)

Counts

2 → 36

Calls

12 calls:

Time	Variable		Point	Expression
41.0ms	y	@	inf	(*.f64 (/.f64 z x) (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000))
1.0ms	z	@	inf	(*.f64 (/.f64 z x) (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000))
1.0ms	z	@	-inf	(*.f64 (/.f64 z x) (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000))
1.0ms	z	@	0	(*.f64 (/.f64 z x) (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000))
1.0ms	x	@	inf	(*.f64 (/.f64 z x) (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000))

rewrite81.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

588×	`log-prod_binary64`
363×	`pow-prod-down_binary64`
339×	`pow2_binary64`
238×	`pow1/3_binary64`
236×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	18
1	265	18
2	3380	18

Stop Event

1×	node limit

Counts

2 → 59

Calls

Call 1

Inputs
(*.f64 (/.f64 z x) (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000))
(/.f64 83333333333333/1000000000000000 x)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 z x) (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 z (+.f64 7936500793651/10000000000000000 y)) (/.f64 z x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 z x) (*.f64 z (+.f64 7936500793651/10000000000000000 y))) (*.f64 (/.f64 z x) -13888888888889/5000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 z x)) (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 z x)) (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 z x)) (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 z x)) (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 z x) (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 z (/.f64 x (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000) (/.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x (*.f64 z (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000)) x)))) (#(struct:change #<rule egg-rr> 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z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 z x) (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 z x) (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 z x) (*.f64 z (+.f64 7936500793651/10000000000000000 y)) (*.f64 (/.f64 z x) -13888888888889/5000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 z (+.f64 7936500793651/10000000000000000 y)) (/.f64 z x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 83333333333333/1000000000000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 83333333333333/1000000000000000 x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 83333333333333/1000000000000000 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 83333333333333/1000000000000000 x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 83333333333333/1000000000000000 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 83333333333333/1000000000000000 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 83333333333333/1000000000000000 (pow.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 83333333333333/1000000000000000 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 83333333333333/1000000000000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)) (cbrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x))) (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -83333333333333/1000000000000000 (pow.f64 (neg.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -1) 83333333333333/1000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 83333333333333/1000000000000000 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 83333333333333/1000000000000000 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 1000000000000000/83333333333333) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 x 1000000000000000/83333333333333) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 83333333333333/1000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 83333333333333/1000000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 83333333333333/1000000000000000 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 83333333333333/1000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 83333333333333/1000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 83333333333333/1000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 83333333333333/1000000000000000 x)) 1))))))

simplify93.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

691×	`fma-neg_binary64`
585×	`associate-l_binary64`
511×	`fma-def_binary64`
430×	`associate-r_binary64`
403×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	33	754
1	80	754
2	166	754
3	379	484
4	1255	484
5	4742	484

Stop Event

1×	node limit

Counts

95 → 71

Calls

Call 1

Inputs
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(+.f64 (.f64 -13888888888889/5000000000000000 (/.f64 z x)) (.f64 (+.f64 (/.f64 y x) (*.f64 7936500793651/10000000000000000 (/.f64 1 x))) (pow.f64 z 2)))
(+.f64 (.f64 -13888888888889/5000000000000000 (/.f64 z x)) (.f64 (+.f64 (/.f64 y x) (*.f64 7936500793651/10000000000000000 (/.f64 1 x))) (pow.f64 z 2)))
(+.f64 (.f64 -13888888888889/5000000000000000 (/.f64 z x)) (.f64 (+.f64 (/.f64 y x) (*.f64 7936500793651/10000000000000000 (/.f64 1 x))) (pow.f64 z 2)))
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(+.f64 (/.f64 (.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x) (.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(+.f64 (/.f64 (.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x) (.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(+.f64 (/.f64 (.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x) (.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(+.f64 (/.f64 (.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x) (.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(+.f64 (/.f64 (.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x) (.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(+.f64 (/.f64 (.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x) (.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(/.f64 (.f64 (-.f64 (.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z) x)
(/.f64 (.f64 (-.f64 (.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z) x)
(/.f64 (.f64 (-.f64 (.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z) x)
(/.f64 (.f64 (-.f64 (.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z) x)
(/.f64 (.f64 (-.f64 (.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z) x)
(/.f64 (.f64 (-.f64 (.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z) x)
(/.f64 (.f64 (-.f64 (.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z) x)
(/.f64 (.f64 (-.f64 (.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z) x)
(/.f64 (.f64 (-.f64 (.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z) x)
(/.f64 (.f64 (-.f64 (.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z) x)
(/.f64 (.f64 (-.f64 (.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z) x)
(/.f64 (.f64 (-.f64 (.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z) x)
(/.f64 (.f64 (-.f64 (.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x)
(+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (/.f64 (.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x))
(+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (/.f64 (.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x))
(+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (/.f64 (.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (/.f64 (.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x))
(+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (/.f64 (.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x))
(+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (/.f64 (.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (/.f64 (.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x))
(+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (/.f64 (.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x))
(+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (/.f64 (.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x))

Outputs
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(+.f64 (.f64 -13888888888889/5000000000000000 (/.f64 z x)) (.f64 (+.f64 (/.f64 y x) (*.f64 7936500793651/10000000000000000 (/.f64 1 x))) (pow.f64 z 2)))
(fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (.f64 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x)) (.f64 z z)))
(fma.f64 z (.f64 z (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))) (.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(*.f64 (/.f64 z x) (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000))
(*.f64 z (/.f64 (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) x))
(+.f64 (.f64 -13888888888889/5000000000000000 (/.f64 z x)) (.f64 (+.f64 (/.f64 y x) (*.f64 7936500793651/10000000000000000 (/.f64 1 x))) (pow.f64 z 2)))
(fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (.f64 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x)) (.f64 z z)))
(fma.f64 z (.f64 z (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))) (.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(*.f64 (/.f64 z x) (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000))
(*.f64 z (/.f64 (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) x))
(+.f64 (.f64 -13888888888889/5000000000000000 (/.f64 z x)) (.f64 (+.f64 (/.f64 y x) (*.f64 7936500793651/10000000000000000 (/.f64 1 x))) (pow.f64 z 2)))
(fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (.f64 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x)) (.f64 z z)))
(fma.f64 z (.f64 z (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))) (.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(*.f64 (/.f64 z x) (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000))
(*.f64 z (/.f64 (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) x))
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 z z) (/.f64 x (+.f64 y 7936500793651/10000000000000000)))
(.f64 (/.f64 (.f64 z z) x) (+.f64 y 7936500793651/10000000000000000))
(*.f64 (+.f64 y 7936500793651/10000000000000000) (/.f64 z (/.f64 x z)))
(.f64 (/.f64 z x) (.f64 z (+.f64 y 7936500793651/10000000000000000)))
(+.f64 (/.f64 (.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x) (.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (.f64 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x)) (.f64 z z)))
(fma.f64 z (.f64 z (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))) (.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(*.f64 (/.f64 z x) (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000))
(*.f64 z (/.f64 (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) x))
(+.f64 (/.f64 (.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x) (.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (.f64 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x)) (.f64 z z)))
(fma.f64 z (.f64 z (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))) (.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(*.f64 (/.f64 z x) (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000))
(*.f64 z (/.f64 (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) x))
(+.f64 (/.f64 (.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x) (.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (.f64 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x)) (.f64 z z)))
(fma.f64 z (.f64 z (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))) (.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(*.f64 (/.f64 z x) (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000))
(*.f64 z (/.f64 (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) x))
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 z z) (/.f64 x (+.f64 y 7936500793651/10000000000000000)))
(.f64 (/.f64 (.f64 z z) x) (+.f64 y 7936500793651/10000000000000000))
(*.f64 (+.f64 y 7936500793651/10000000000000000) (/.f64 z (/.f64 x z)))
(.f64 (/.f64 z x) (.f64 z (+.f64 y 7936500793651/10000000000000000)))
(+.f64 (/.f64 (.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x) (.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (.f64 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x)) (.f64 z z)))
(fma.f64 z (.f64 z (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))) (.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(*.f64 (/.f64 z x) (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000))
(*.f64 z (/.f64 (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) x))
(+.f64 (/.f64 (.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x) (.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (.f64 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x)) (.f64 z z)))
(fma.f64 z (.f64 z (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))) (.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(*.f64 (/.f64 z x) (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000))
(*.f64 z (/.f64 (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) x))
(+.f64 (/.f64 (.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x) (.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (.f64 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x)) (.f64 z z)))
(fma.f64 z (.f64 z (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))) (.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(*.f64 (/.f64 z x) (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000))
(*.f64 z (/.f64 (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) x))
(/.f64 (.f64 (-.f64 (.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z) x)
(fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (.f64 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x)) (.f64 z z)))
(fma.f64 z (.f64 z (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))) (.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(*.f64 (/.f64 z x) (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000))
(*.f64 z (/.f64 (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) x))
(/.f64 (.f64 (-.f64 (.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z) x)
(fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (.f64 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x)) (.f64 z z)))
(fma.f64 z (.f64 z (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))) (.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(*.f64 (/.f64 z x) (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000))
(*.f64 z (/.f64 (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) x))
(/.f64 (.f64 (-.f64 (.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z) x)
(fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (.f64 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x)) (.f64 z z)))
(fma.f64 z (.f64 z (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))) (.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(*.f64 (/.f64 z x) (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000))
(*.f64 z (/.f64 (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) x))
(/.f64 (.f64 (-.f64 (.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z) x)
(fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (.f64 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x)) (.f64 z z)))
(fma.f64 z (.f64 z (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))) (.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(*.f64 (/.f64 z x) (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000))
(*.f64 z (/.f64 (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) x))
(/.f64 (.f64 (-.f64 (.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z) x)
(fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (.f64 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x)) (.f64 z z)))
(fma.f64 z (.f64 z (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))) (.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(*.f64 (/.f64 z x) (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000))
(*.f64 z (/.f64 (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) x))
(/.f64 (.f64 (-.f64 (.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z) x)
(fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (.f64 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x)) (.f64 z z)))
(fma.f64 z (.f64 z (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))) (.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(*.f64 (/.f64 z x) (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000))
(*.f64 z (/.f64 (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) x))
(/.f64 (.f64 (-.f64 (.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z) x)
(fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (.f64 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x)) (.f64 z z)))
(fma.f64 z (.f64 z (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))) (.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(*.f64 (/.f64 z x) (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000))
(*.f64 z (/.f64 (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) x))
(/.f64 (.f64 (-.f64 (.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z) x)
(fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (.f64 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x)) (.f64 z z)))
(fma.f64 z (.f64 z (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))) (.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(*.f64 (/.f64 z x) (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000))
(*.f64 z (/.f64 (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) x))
(/.f64 (.f64 (-.f64 (.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z) x)
(fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (.f64 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x)) (.f64 z z)))
(fma.f64 z (.f64 z (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))) (.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(*.f64 (/.f64 z x) (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000))
(*.f64 z (/.f64 (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) x))
(/.f64 (.f64 (-.f64 (.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z) x)
(fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (.f64 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x)) (.f64 z z)))
(fma.f64 z (.f64 z (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))) (.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(*.f64 (/.f64 z x) (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000))
(*.f64 z (/.f64 (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) x))
(/.f64 (.f64 (-.f64 (.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z) x)
(fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (.f64 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x)) (.f64 z z)))
(fma.f64 z (.f64 z (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))) (.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(*.f64 (/.f64 z x) (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000))
(*.f64 z (/.f64 (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) x))
(/.f64 (.f64 (-.f64 (.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z) x)
(fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (.f64 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x)) (.f64 z z)))
(fma.f64 z (.f64 z (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))) (.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(*.f64 (/.f64 z x) (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000))
(*.f64 z (/.f64 (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) x))
(/.f64 (.f64 (-.f64 (.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x)
(/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) (/.f64 x z))
(/.f64 z (/.f64 x (fma.f64 z 7936500793651/10000000000000000 -13888888888889/5000000000000000)))
(*.f64 z (/.f64 (fma.f64 z 7936500793651/10000000000000000 -13888888888889/5000000000000000) x))
(+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (/.f64 (.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x))
(fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (.f64 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x)) (.f64 z z)))
(fma.f64 z (.f64 z (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))) (.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(*.f64 (/.f64 z x) (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000))
(*.f64 z (/.f64 (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) x))
(+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (/.f64 (.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x))
(fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (.f64 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x)) (.f64 z z)))
(fma.f64 z (.f64 z (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))) (.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(*.f64 (/.f64 z x) (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000))
(*.f64 z (/.f64 (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) x))
(+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (/.f64 (.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x))
(fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (.f64 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x)) (.f64 z z)))
(fma.f64 z (.f64 z (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))) (.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(*.f64 (/.f64 z x) (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000))
(*.f64 z (/.f64 (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) x))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 y (/.f64 x (*.f64 z z)))
(.f64 (/.f64 y x) (.f64 z z))
(.f64 z (.f64 z (/.f64 y x)))
(+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (/.f64 (.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x))
(fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (.f64 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x)) (.f64 z z)))
(fma.f64 z (.f64 z (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))) (.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(*.f64 (/.f64 z x) (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000))
(*.f64 z (/.f64 (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) x))
(+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (/.f64 (.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x))
(fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (.f64 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x)) (.f64 z z)))
(fma.f64 z (.f64 z (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))) (.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(*.f64 (/.f64 z x) (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000))
(*.f64 z (/.f64 (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) x))
(+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (/.f64 (.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x))
(fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (.f64 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x)) (.f64 z z)))
(fma.f64 z (.f64 z (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))) (.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(*.f64 (/.f64 z x) (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000))
(*.f64 z (/.f64 (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) x))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 y (/.f64 x (*.f64 z z)))
(.f64 (/.f64 y x) (.f64 z z))
(.f64 z (.f64 z (/.f64 y x)))
(+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (/.f64 (.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x))
(fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (.f64 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x)) (.f64 z z)))
(fma.f64 z (.f64 z (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))) (.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(*.f64 (/.f64 z x) (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000))
(*.f64 z (/.f64 (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) x))
(+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (/.f64 (.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x))
(fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (.f64 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x)) (.f64 z z)))
(fma.f64 z (.f64 z (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))) (.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(*.f64 (/.f64 z x) (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000))
(*.f64 z (/.f64 (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) x))
(+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (/.f64 (.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x))
(fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (.f64 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x)) (.f64 z z)))
(fma.f64 z (.f64 z (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))) (.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(*.f64 (/.f64 z x) (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000))
(*.f64 z (/.f64 (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) x))

localize23.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x)
	0.1b	(*.f64 (-.f64 x 1/2) (log.f64 x))
	0.2b	(+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000)
	0.4b	(/.f64 83333333333333/1000000000000000 x)

Compiler

Compiled 53 to 33 computations (37.7% saved)

localize49.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 91893853320467/100000000000000 (-.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 (log.f64 x) (-.f64 1/2 x) x)))
✓	0.0b	(-.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 (log.f64 x) (-.f64 1/2 x) x))
	0.1b	(fma.f64 (log.f64 x) (-.f64 1/2 x) x)
	0.4b	(/.f64 83333333333333/1000000000000000 x)

Compiler

Compiled 46 to 28 computations (39.1% saved)

series6.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	x	@	-inf	(-.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 (log.f64 x) (-.f64 1/2 x) x))
1.0ms	x	@	0	(-.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 (log.f64 x) (-.f64 1/2 x) x))
0.0ms	x	@	-inf	(+.f64 91893853320467/100000000000000 (-.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 (log.f64 x) (-.f64 1/2 x) x)))
0.0ms	x	@	inf	(-.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 (log.f64 x) (-.f64 1/2 x) x))
0.0ms	x	@	inf	(+.f64 91893853320467/100000000000000 (-.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 (log.f64 x) (-.f64 1/2 x) x)))

rewrite103.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

791×	`prod-diff_binary64`
541×	`log-prod_binary64`
371×	`fma-def_binary64`
236×	`expm1-udef_binary64`
236×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	35
1	261	35
2	3582	35

Stop Event

1×	node limit

Counts

2 → 161

Calls

Call 1

Inputs

(-.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 (log.f64 x) (-.f64 1/2 x) x))

(+.f64 91893853320467/100000000000000 (-.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 (log.f64 x) (-.f64 1/2 x) x)))

Outputs

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simplify75.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

647×	`unsub-neg_binary64`
636×	`fma-def_binary64`
587×	`sub-neg_binary64`
368×	`+-commutative_binary64`
299×	`associate-+l-_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	53	497
1	171	419
2	460	375
3	1321	373
4	4892	355
5	6757	355

Stop Event

1×	node limit

Counts

185 → 183

Calls

Call 1

Inputs
(/.f64 83333333333333/1000000000000000 x)
(+.f64 (.f64 -1/2 (log.f64 x)) (.f64 83333333333333/1000000000000000 (/.f64 1 x)))
(+.f64 (.f64 -1/2 (log.f64 x)) (+.f64 (.f64 -1 (.f64 (+.f64 1 (.f64 -1 (log.f64 x))) x)) (*.f64 83333333333333/1000000000000000 (/.f64 1 x))))
(+.f64 (.f64 -1/2 (log.f64 x)) (+.f64 (.f64 -1 (.f64 (+.f64 1 (.f64 -1 (log.f64 x))) x)) (*.f64 83333333333333/1000000000000000 (/.f64 1 x))))
(.f64 -1 (.f64 (+.f64 1 (log.f64 (/.f64 1 x))) x))
(+.f64 (.f64 1/2 (log.f64 (/.f64 1 x))) (.f64 -1 (*.f64 (+.f64 1 (log.f64 (/.f64 1 x))) x)))
(+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (.f64 1/2 (log.f64 (/.f64 1 x))) (.f64 -1 (.f64 (+.f64 1 (log.f64 (/.f64 1 x))) x))))
(+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (.f64 1/2 (log.f64 (/.f64 1 x))) (.f64 -1 (.f64 (+.f64 1 (log.f64 (/.f64 1 x))) x))))
(.f64 -1 (.f64 (-.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) x))
(+.f64 (.f64 -1 (.f64 (-.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) x)) (.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (.f64 -1 (.f64 (-.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) x)) (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))
(+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (.f64 -1 (.f64 (-.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) x)) (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))
(/.f64 83333333333333/1000000000000000 x)
(-.f64 (+.f64 91893853320467/100000000000000 (.f64 83333333333333/1000000000000000 (/.f64 1 x))) (.f64 1/2 (log.f64 x)))
(-.f64 (+.f64 91893853320467/100000000000000 (+.f64 (.f64 -1 (.f64 (+.f64 1 (.f64 -1 (log.f64 x))) x)) (.f64 83333333333333/1000000000000000 (/.f64 1 x)))) (*.f64 1/2 (log.f64 x)))
(-.f64 (+.f64 91893853320467/100000000000000 (+.f64 (.f64 -1 (.f64 (+.f64 1 (.f64 -1 (log.f64 x))) x)) (.f64 83333333333333/1000000000000000 (/.f64 1 x)))) (*.f64 1/2 (log.f64 x)))
(.f64 -1 (.f64 (+.f64 1 (log.f64 (/.f64 1 x))) x))
(-.f64 (+.f64 91893853320467/100000000000000 (.f64 -1 (.f64 (+.f64 1 (log.f64 (/.f64 1 x))) x))) (*.f64 -1/2 (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 91893853320467/100000000000000 (.f64 -1 (.f64 (+.f64 1 (log.f64 (/.f64 1 x))) x)))) (.f64 -1/2 (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 91893853320467/100000000000000 (.f64 -1 (.f64 (+.f64 1 (log.f64 (/.f64 1 x))) x)))) (.f64 -1/2 (log.f64 (/.f64 1 x))))
(.f64 -1 (.f64 (-.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) x))
(-.f64 (+.f64 91893853320467/100000000000000 (.f64 -1 (.f64 (-.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) x))) (.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(-.f64 (+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 91893853320467/100000000000000 (.f64 -1 (.f64 (-.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) x)))) (.f64 1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(-.f64 (+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 91893853320467/100000000000000 (.f64 -1 (.f64 (-.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) x)))) (.f64 1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))

Outputs
(/.f64 83333333333333/1000000000000000 x)
(+.f64 (.f64 -1/2 (log.f64 x)) (.f64 83333333333333/1000000000000000 (/.f64 1 x)))
(fma.f64 -1/2 (log.f64 x) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (.f64 -1/2 (log.f64 x)) (+.f64 (.f64 -1 (.f64 (+.f64 1 (.f64 -1 (log.f64 x))) x)) (*.f64 83333333333333/1000000000000000 (/.f64 1 x))))
(fma.f64 -1/2 (log.f64 x) (fma.f64 -1 (*.f64 x (+.f64 1 (neg.f64 (log.f64 x)))) (/.f64 83333333333333/1000000000000000 x)))
(-.f64 (fma.f64 -1/2 (log.f64 x) (/.f64 83333333333333/1000000000000000 x)) (*.f64 x (-.f64 1 (log.f64 x))))
(fma.f64 x (+.f64 (log.f64 x) -1) (fma.f64 -1/2 (log.f64 x) (/.f64 83333333333333/1000000000000000 x)))
(+.f64 (-.f64 (/.f64 83333333333333/1000000000000000 x) x) (*.f64 (log.f64 x) (+.f64 -1/2 x)))
(+.f64 (.f64 -1/2 (log.f64 x)) (+.f64 (.f64 -1 (.f64 (+.f64 1 (.f64 -1 (log.f64 x))) x)) (*.f64 83333333333333/1000000000000000 (/.f64 1 x))))
(fma.f64 -1/2 (log.f64 x) (fma.f64 -1 (*.f64 x (+.f64 1 (neg.f64 (log.f64 x)))) (/.f64 83333333333333/1000000000000000 x)))
(-.f64 (fma.f64 -1/2 (log.f64 x) (/.f64 83333333333333/1000000000000000 x)) (*.f64 x (-.f64 1 (log.f64 x))))
(fma.f64 x (+.f64 (log.f64 x) -1) (fma.f64 -1/2 (log.f64 x) (/.f64 83333333333333/1000000000000000 x)))
(+.f64 (-.f64 (/.f64 83333333333333/1000000000000000 x) x) (*.f64 (log.f64 x) (+.f64 -1/2 x)))
(.f64 -1 (.f64 (+.f64 1 (log.f64 (/.f64 1 x))) x))
(neg.f64 (*.f64 x (+.f64 1 (neg.f64 (log.f64 x)))))
(*.f64 (-.f64 1 (log.f64 x)) (neg.f64 x))
(*.f64 x (+.f64 (log.f64 x) -1))
(fma.f64 x (log.f64 x) (neg.f64 x))
(+.f64 (.f64 1/2 (log.f64 (/.f64 1 x))) (.f64 -1 (*.f64 (+.f64 1 (log.f64 (/.f64 1 x))) x)))
(fma.f64 1/2 (neg.f64 (log.f64 x)) (neg.f64 (*.f64 x (+.f64 1 (neg.f64 (log.f64 x))))))
(-.f64 (.f64 -1/2 (log.f64 x)) (.f64 x (-.f64 1 (log.f64 x))))
(fma.f64 x (+.f64 (log.f64 x) -1) (*.f64 -1/2 (log.f64 x)))
(-.f64 (*.f64 (log.f64 x) (-.f64 -1/2 (neg.f64 x))) x)
(-.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)) x)
(+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (.f64 1/2 (log.f64 (/.f64 1 x))) (.f64 -1 (.f64 (+.f64 1 (log.f64 (/.f64 1 x))) x))))
(fma.f64 -1/2 (log.f64 x) (fma.f64 -1 (*.f64 x (+.f64 1 (neg.f64 (log.f64 x)))) (/.f64 83333333333333/1000000000000000 x)))
(-.f64 (fma.f64 -1/2 (log.f64 x) (/.f64 83333333333333/1000000000000000 x)) (*.f64 x (-.f64 1 (log.f64 x))))
(fma.f64 x (+.f64 (log.f64 x) -1) (fma.f64 -1/2 (log.f64 x) (/.f64 83333333333333/1000000000000000 x)))
(+.f64 (-.f64 (/.f64 83333333333333/1000000000000000 x) x) (*.f64 (log.f64 x) (+.f64 -1/2 x)))
(+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (.f64 1/2 (log.f64 (/.f64 1 x))) (.f64 -1 (.f64 (+.f64 1 (log.f64 (/.f64 1 x))) x))))
(fma.f64 -1/2 (log.f64 x) (fma.f64 -1 (*.f64 x (+.f64 1 (neg.f64 (log.f64 x)))) (/.f64 83333333333333/1000000000000000 x)))
(-.f64 (fma.f64 -1/2 (log.f64 x) (/.f64 83333333333333/1000000000000000 x)) (*.f64 x (-.f64 1 (log.f64 x))))
(fma.f64 x (+.f64 (log.f64 x) -1) (fma.f64 -1/2 (log.f64 x) (/.f64 83333333333333/1000000000000000 x)))
(+.f64 (-.f64 (/.f64 83333333333333/1000000000000000 x) x) (*.f64 (log.f64 x) (+.f64 -1/2 x)))
(.f64 -1 (.f64 (-.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) x))
(neg.f64 (*.f64 x (+.f64 1 (neg.f64 (log.f64 x)))))
(*.f64 (-.f64 1 (log.f64 x)) (neg.f64 x))
(*.f64 x (+.f64 (log.f64 x) -1))
(fma.f64 x (log.f64 x) (neg.f64 x))
(+.f64 (.f64 -1 (.f64 (-.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) x)) (.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(fma.f64 1/2 (neg.f64 (log.f64 x)) (neg.f64 (*.f64 x (+.f64 1 (neg.f64 (log.f64 x))))))
(-.f64 (.f64 -1/2 (log.f64 x)) (.f64 x (-.f64 1 (log.f64 x))))
(fma.f64 x (+.f64 (log.f64 x) -1) (*.f64 -1/2 (log.f64 x)))
(-.f64 (*.f64 (log.f64 x) (-.f64 -1/2 (neg.f64 x))) x)
(-.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)) x)
(+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (.f64 -1 (.f64 (-.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) x)) (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))
(fma.f64 -1/2 (log.f64 x) (fma.f64 -1 (*.f64 x (+.f64 1 (neg.f64 (log.f64 x)))) (/.f64 83333333333333/1000000000000000 x)))
(-.f64 (fma.f64 -1/2 (log.f64 x) (/.f64 83333333333333/1000000000000000 x)) (*.f64 x (-.f64 1 (log.f64 x))))
(fma.f64 x (+.f64 (log.f64 x) -1) (fma.f64 -1/2 (log.f64 x) (/.f64 83333333333333/1000000000000000 x)))
(+.f64 (-.f64 (/.f64 83333333333333/1000000000000000 x) x) (*.f64 (log.f64 x) (+.f64 -1/2 x)))
(+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (.f64 -1 (.f64 (-.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) x)) (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))
(fma.f64 -1/2 (log.f64 x) (fma.f64 -1 (*.f64 x (+.f64 1 (neg.f64 (log.f64 x)))) (/.f64 83333333333333/1000000000000000 x)))
(-.f64 (fma.f64 -1/2 (log.f64 x) (/.f64 83333333333333/1000000000000000 x)) (*.f64 x (-.f64 1 (log.f64 x))))
(fma.f64 x (+.f64 (log.f64 x) -1) (fma.f64 -1/2 (log.f64 x) (/.f64 83333333333333/1000000000000000 x)))
(+.f64 (-.f64 (/.f64 83333333333333/1000000000000000 x) x) (*.f64 (log.f64 x) (+.f64 -1/2 x)))
(/.f64 83333333333333/1000000000000000 x)
(-.f64 (+.f64 91893853320467/100000000000000 (.f64 83333333333333/1000000000000000 (/.f64 1 x))) (.f64 1/2 (log.f64 x)))
(+.f64 (+.f64 (/.f64 83333333333333/1000000000000000 x) 91893853320467/100000000000000) (*.f64 -1/2 (log.f64 x)))
(+.f64 91893853320467/100000000000000 (fma.f64 -1/2 (log.f64 x) (/.f64 83333333333333/1000000000000000 x)))
(fma.f64 -1/2 (log.f64 x) (+.f64 (/.f64 83333333333333/1000000000000000 x) 91893853320467/100000000000000))
(-.f64 (+.f64 91893853320467/100000000000000 (+.f64 (.f64 -1 (.f64 (+.f64 1 (.f64 -1 (log.f64 x))) x)) (.f64 83333333333333/1000000000000000 (/.f64 1 x)))) (*.f64 1/2 (log.f64 x)))
(+.f64 91893853320467/100000000000000 (-.f64 (fma.f64 -1 (.f64 x (+.f64 1 (neg.f64 (log.f64 x)))) (/.f64 83333333333333/1000000000000000 x)) (.f64 (log.f64 x) 1/2)))
(+.f64 91893853320467/100000000000000 (-.f64 (fma.f64 -1/2 (log.f64 x) (/.f64 83333333333333/1000000000000000 x)) (*.f64 x (-.f64 1 (log.f64 x)))))
(+.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 -1/2 (log.f64 x) (fma.f64 x (+.f64 (log.f64 x) -1) 91893853320467/100000000000000)))
(+.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 x (+.f64 (log.f64 x) -1) (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000)))
(+.f64 (/.f64 83333333333333/1000000000000000 x) (+.f64 (-.f64 91893853320467/100000000000000 x) (*.f64 (log.f64 x) (+.f64 -1/2 x))))
(-.f64 (+.f64 91893853320467/100000000000000 (+.f64 (.f64 -1 (.f64 (+.f64 1 (.f64 -1 (log.f64 x))) x)) (.f64 83333333333333/1000000000000000 (/.f64 1 x)))) (*.f64 1/2 (log.f64 x)))
(+.f64 91893853320467/100000000000000 (-.f64 (fma.f64 -1 (.f64 x (+.f64 1 (neg.f64 (log.f64 x)))) (/.f64 83333333333333/1000000000000000 x)) (.f64 (log.f64 x) 1/2)))
(+.f64 91893853320467/100000000000000 (-.f64 (fma.f64 -1/2 (log.f64 x) (/.f64 83333333333333/1000000000000000 x)) (*.f64 x (-.f64 1 (log.f64 x)))))
(+.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 -1/2 (log.f64 x) (fma.f64 x (+.f64 (log.f64 x) -1) 91893853320467/100000000000000)))
(+.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 x (+.f64 (log.f64 x) -1) (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000)))
(+.f64 (/.f64 83333333333333/1000000000000000 x) (+.f64 (-.f64 91893853320467/100000000000000 x) (*.f64 (log.f64 x) (+.f64 -1/2 x))))
(.f64 -1 (.f64 (+.f64 1 (log.f64 (/.f64 1 x))) x))
(neg.f64 (*.f64 x (+.f64 1 (neg.f64 (log.f64 x)))))
(*.f64 (-.f64 1 (log.f64 x)) (neg.f64 x))
(*.f64 x (+.f64 (log.f64 x) -1))
(fma.f64 x (log.f64 x) (neg.f64 x))
(-.f64 (+.f64 91893853320467/100000000000000 (.f64 -1 (.f64 (+.f64 1 (log.f64 (/.f64 1 x))) x))) (*.f64 -1/2 (log.f64 (/.f64 1 x))))
(+.f64 91893853320467/100000000000000 (-.f64 (neg.f64 (.f64 x (+.f64 1 (neg.f64 (log.f64 x))))) (.f64 -1/2 (neg.f64 (log.f64 x)))))
(+.f64 (.f64 -1/2 (log.f64 x)) (-.f64 91893853320467/100000000000000 (.f64 x (-.f64 1 (log.f64 x)))))
(fma.f64 -1/2 (log.f64 x) (fma.f64 x (+.f64 (log.f64 x) -1) 91893853320467/100000000000000))
(fma.f64 x (+.f64 (log.f64 x) -1) (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000))
(+.f64 (-.f64 91893853320467/100000000000000 x) (*.f64 (log.f64 x) (+.f64 -1/2 x)))
(-.f64 (+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 91893853320467/100000000000000 (.f64 -1 (.f64 (+.f64 1 (log.f64 (/.f64 1 x))) x)))) (.f64 -1/2 (log.f64 (/.f64 1 x))))
(+.f64 91893853320467/100000000000000 (-.f64 (fma.f64 -1 (.f64 x (+.f64 1 (neg.f64 (log.f64 x)))) (/.f64 83333333333333/1000000000000000 x)) (.f64 (log.f64 x) 1/2)))
(+.f64 91893853320467/100000000000000 (-.f64 (fma.f64 -1/2 (log.f64 x) (/.f64 83333333333333/1000000000000000 x)) (*.f64 x (-.f64 1 (log.f64 x)))))
(+.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 -1/2 (log.f64 x) (fma.f64 x (+.f64 (log.f64 x) -1) 91893853320467/100000000000000)))
(+.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 x (+.f64 (log.f64 x) -1) (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000)))
(+.f64 (/.f64 83333333333333/1000000000000000 x) (+.f64 (-.f64 91893853320467/100000000000000 x) (*.f64 (log.f64 x) (+.f64 -1/2 x))))
(-.f64 (+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 91893853320467/100000000000000 (.f64 -1 (.f64 (+.f64 1 (log.f64 (/.f64 1 x))) x)))) (.f64 -1/2 (log.f64 (/.f64 1 x))))
(+.f64 91893853320467/100000000000000 (-.f64 (fma.f64 -1 (.f64 x (+.f64 1 (neg.f64 (log.f64 x)))) (/.f64 83333333333333/1000000000000000 x)) (.f64 (log.f64 x) 1/2)))
(+.f64 91893853320467/100000000000000 (-.f64 (fma.f64 -1/2 (log.f64 x) (/.f64 83333333333333/1000000000000000 x)) (*.f64 x (-.f64 1 (log.f64 x)))))
(+.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 -1/2 (log.f64 x) (fma.f64 x (+.f64 (log.f64 x) -1) 91893853320467/100000000000000)))
(+.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 x (+.f64 (log.f64 x) -1) (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000)))
(+.f64 (/.f64 83333333333333/1000000000000000 x) (+.f64 (-.f64 91893853320467/100000000000000 x) (*.f64 (log.f64 x) (+.f64 -1/2 x))))
(.f64 -1 (.f64 (-.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) x))
(neg.f64 (*.f64 x (+.f64 1 (neg.f64 (log.f64 x)))))
(*.f64 (-.f64 1 (log.f64 x)) (neg.f64 x))
(*.f64 x (+.f64 (log.f64 x) -1))
(fma.f64 x (log.f64 x) (neg.f64 x))
(-.f64 (+.f64 91893853320467/100000000000000 (.f64 -1 (.f64 (-.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) x))) (.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(+.f64 91893853320467/100000000000000 (-.f64 (neg.f64 (.f64 x (+.f64 1 (neg.f64 (log.f64 x))))) (.f64 -1/2 (neg.f64 (log.f64 x)))))
(+.f64 (.f64 -1/2 (log.f64 x)) (-.f64 91893853320467/100000000000000 (.f64 x (-.f64 1 (log.f64 x)))))
(fma.f64 -1/2 (log.f64 x) (fma.f64 x (+.f64 (log.f64 x) -1) 91893853320467/100000000000000))
(fma.f64 x (+.f64 (log.f64 x) -1) (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000))
(+.f64 (-.f64 91893853320467/100000000000000 x) (*.f64 (log.f64 x) (+.f64 -1/2 x)))
(-.f64 (+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 91893853320467/100000000000000 (.f64 -1 (.f64 (-.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) x)))) (.f64 1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(+.f64 91893853320467/100000000000000 (-.f64 (fma.f64 -1 (.f64 x (+.f64 1 (neg.f64 (log.f64 x)))) (/.f64 83333333333333/1000000000000000 x)) (.f64 (log.f64 x) 1/2)))
(+.f64 91893853320467/100000000000000 (-.f64 (fma.f64 -1/2 (log.f64 x) (/.f64 83333333333333/1000000000000000 x)) (*.f64 x (-.f64 1 (log.f64 x)))))
(+.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 -1/2 (log.f64 x) (fma.f64 x (+.f64 (log.f64 x) -1) 91893853320467/100000000000000)))
(+.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 x (+.f64 (log.f64 x) -1) (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000)))
(+.f64 (/.f64 83333333333333/1000000000000000 x) (+.f64 (-.f64 91893853320467/100000000000000 x) (*.f64 (log.f64 x) (+.f64 -1/2 x))))
(-.f64 (+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 91893853320467/100000000000000 (.f64 -1 (.f64 (-.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) x)))) (.f64 1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(+.f64 91893853320467/100000000000000 (-.f64 (fma.f64 -1 (.f64 x (+.f64 1 (neg.f64 (log.f64 x)))) (/.f64 83333333333333/1000000000000000 x)) (.f64 (log.f64 x) 1/2)))
(+.f64 91893853320467/100000000000000 (-.f64 (fma.f64 -1/2 (log.f64 x) (/.f64 83333333333333/1000000000000000 x)) (*.f64 x (-.f64 1 (log.f64 x)))))
(+.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 -1/2 (log.f64 x) (fma.f64 x (+.f64 (log.f64 x) -1) 91893853320467/100000000000000)))
(+.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 x (+.f64 (log.f64 x) -1) (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000)))
(+.f64 (/.f64 83333333333333/1000000000000000 x) (+.f64 (-.f64 91893853320467/100000000000000 x) (*.f64 (log.f64 x) (+.f64 -1/2 x))))

localize87.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (+.f64 x -1/2) (log.f64 x))
✓	0.2b	(+.f64 (-.f64 (pow.f64 (sqrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) 2) x) 91893853320467/100000000000000)
✓	0.4b	(pow.f64 (sqrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) 2)
	4.6b	(/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)

Compiler

Compiled 138 to 93 computations (32.6% saved)

series11.0ms (0.1%)

Counts

3 → 22

Calls

9 calls:

Time	Variable		Point	Expression
4.0ms	x	@	-inf	(pow.f64 (sqrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) 2)
3.0ms	x	@	inf	(pow.f64 (sqrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) 2)
2.0ms	x	@	0	(pow.f64 (sqrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) 2)
1.0ms	x	@	inf	(+.f64 (-.f64 (pow.f64 (sqrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) 2) x) 91893853320467/100000000000000)
1.0ms	x	@	-inf	(+.f64 (-.f64 (pow.f64 (sqrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) 2) x) 91893853320467/100000000000000)

rewrite187.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

911×	`prod-diff_binary64`
527×	`log-prod_binary64`
470×	`fma-def_binary64`
342×	`fma-neg_binary64`
222×	`expm1-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	33
1	279	33
2	3383	32

Stop Event

1×	node limit

Counts

3 → 160

Calls

Call 1

Inputs
(pow.f64 (sqrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) 2)
(+.f64 (-.f64 (pow.f64 (sqrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) 2) x) 91893853320467/100000000000000)
(*.f64 (+.f64 x -1/2) (log.f64 x))

Outputs

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(+.f64 x -91893853320467/100000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 x)) (*.f64 (sqrt.f64 (log.f64 x)) (+.f64 x -1/2)) (fma.f64 -1 x 91893853320467/100000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x))) (sqrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x))) 91893853320467/100000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 1/4) (*.f64 (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 1/4) (sqrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)))) (neg.f64 (+.f64 x -91893853320467/100000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 1/4) (*.f64 (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 1/4) (sqrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)))) (fma.f64 -1 x 91893853320467/100000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x -1/2)) 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(neg.f64 (+.f64 x -91893853320467/100000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 x -1/2) (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (log.f64 x)) (fma.f64 -1 x 91893853320467/100000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 x -1/2) (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (neg.f64 (+.f64 x -91893853320467/100000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 x -1/2) (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (fma.f64 -1 x 91893853320467/100000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (log.f64 x) (pow.f64 (cbrt.f64 (+.f64 x -1/2)) 2)) (cbrt.f64 (+.f64 x -1/2)) (neg.f64 (+.f64 x -91893853320467/100000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (log.f64 x) (pow.f64 (cbrt.f64 (+.f64 x -1/2)) 2)) (cbrt.f64 (+.f64 x -1/2)) (fma.f64 -1 x 91893853320467/100000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (+.f64 x -1/2) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (log.f64 x)) (*.f64 -1/2 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 x (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 x) x) (*.f64 (log.f64 x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 x) -1/2) (*.f64 (log.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 x (+.f64 x -1/2))) (cbrt.f64 (pow.f64 x (+.f64 x -1/2))))) (log.f64 (cbrt.f64 (pow.f64 x (+.f64 x -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 x (+.f64 x -1/2)))) (log.f64 (sqrt.f64 (pow.f64 x (+.f64 x -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1/8 (pow.f64 x 3)) (log.f64 x)) (-.f64 (fma.f64 x x 1/4) (*.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x -1/4) (log.f64 x)) (+.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 x) (+.f64 -1/8 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1/4) (*.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 x) (fma.f64 x x -1/4)) (+.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 x (+.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (-.f64 (pow.f64 x (+.f64 x -1/2)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 x (+.f64 x -1/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (log.f64 x) (*.f64 -1/2 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/2 (log.f64 x) (*.f64 x (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (log.f64 x) x (*.f64 (log.f64 x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (log.f64 x) -1/2 (*.f64 (log.f64 x) x))))))

simplify60.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

604×	`associate-+l+_binary64`
539×	`associate-l_binary64`
531×	`associate-+r+_binary64`
501×	`associate-r_binary64`
312×	`associate-*l/_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	61	335
1	164	207
2	470	193
3	1976	190
4	7433	190

Stop Event

1×	node limit

Counts

182 → 156

Calls

Call 1

Inputs
(*.f64 (pow.f64 (sqrt.f64 -1/2) 2) (log.f64 x))
(+.f64 (.f64 (log.f64 x) x) (.f64 (pow.f64 (sqrt.f64 -1/2) 2) (log.f64 x)))
(+.f64 (.f64 (log.f64 x) x) (+.f64 (.f64 (+.f64 (.f64 -1/4 (/.f64 (log.f64 x) (pow.f64 (sqrt.f64 -1/2) 2))) (.f64 1/4 (/.f64 (log.f64 x) (pow.f64 (sqrt.f64 -1/2) 2)))) (pow.f64 x 2)) (*.f64 (pow.f64 (sqrt.f64 -1/2) 2) (log.f64 x))))
(+.f64 (.f64 (+.f64 (.f64 -1/8 (/.f64 (log.f64 x) (pow.f64 (sqrt.f64 -1/2) 4))) (.f64 1/8 (/.f64 (log.f64 x) (pow.f64 (sqrt.f64 -1/2) 4)))) (pow.f64 x 3)) (+.f64 (.f64 (log.f64 x) x) (+.f64 (.f64 (+.f64 (.f64 -1/4 (/.f64 (log.f64 x) (pow.f64 (sqrt.f64 -1/2) 2))) (.f64 1/4 (/.f64 (log.f64 x) (pow.f64 (sqrt.f64 -1/2) 2)))) (pow.f64 x 2)) (.f64 (pow.f64 (sqrt.f64 -1/2) 2) (log.f64 x)))))
(+.f64 91893853320467/100000000000000 (*.f64 (pow.f64 (sqrt.f64 -1/2) 2) (log.f64 x)))
(+.f64 91893853320467/100000000000000 (+.f64 (.f64 (pow.f64 (sqrt.f64 -1/2) 2) (log.f64 x)) (.f64 (-.f64 (log.f64 x) 1) x)))
(+.f64 91893853320467/100000000000000 (+.f64 (.f64 (+.f64 (.f64 -1/4 (/.f64 (log.f64 x) (pow.f64 (sqrt.f64 -1/2) 2))) (.f64 1/4 (/.f64 (log.f64 x) (pow.f64 (sqrt.f64 -1/2) 2)))) (pow.f64 x 2)) (+.f64 (.f64 (pow.f64 (sqrt.f64 -1/2) 2) (log.f64 x)) (*.f64 (-.f64 (log.f64 x) 1) x))))
(+.f64 (.f64 (+.f64 (.f64 -1/8 (/.f64 (log.f64 x) (pow.f64 (sqrt.f64 -1/2) 4))) (.f64 1/8 (/.f64 (log.f64 x) (pow.f64 (sqrt.f64 -1/2) 4)))) (pow.f64 x 3)) (+.f64 91893853320467/100000000000000 (+.f64 (.f64 (+.f64 (.f64 -1/4 (/.f64 (log.f64 x) (pow.f64 (sqrt.f64 -1/2) 2))) (.f64 1/4 (/.f64 (log.f64 x) (pow.f64 (sqrt.f64 -1/2) 2)))) (pow.f64 x 2)) (+.f64 (.f64 (pow.f64 (sqrt.f64 -1/2) 2) (log.f64 x)) (.f64 (-.f64 (log.f64 x) 1) x)))))
(*.f64 -1 x)
(*.f64 -1 x)
(*.f64 -1/2 (log.f64 x))
(+.f64 (.f64 -1/2 (log.f64 x)) (.f64 (log.f64 x) x))
(+.f64 (.f64 -1/2 (log.f64 x)) (.f64 (log.f64 x) x))
(+.f64 (.f64 -1/2 (log.f64 x)) (.f64 (log.f64 x) x))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x)) x))
(+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x)) x)) (*.f64 1/2 (log.f64 (/.f64 1 x))))
(+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x)) x)) (*.f64 1/2 (log.f64 (/.f64 1 x))))
(+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x)) x)) (*.f64 1/2 (log.f64 (/.f64 1 x))))
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)
(+.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x) (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(+.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x) (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(+.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x) (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))

Outputs
(*.f64 (pow.f64 (sqrt.f64 -1/2) 2) (log.f64 x))
(*.f64 -1/2 (log.f64 x))
(+.f64 (.f64 (log.f64 x) x) (.f64 (pow.f64 (sqrt.f64 -1/2) 2) (log.f64 x)))
(fma.f64 (log.f64 x) x (*.f64 (pow.f64 (sqrt.f64 -1/2) 2) (log.f64 x)))
(*.f64 (log.f64 x) (+.f64 x -1/2))
(*.f64 (log.f64 x) (+.f64 -1/2 x))
(+.f64 (.f64 (log.f64 x) x) (+.f64 (.f64 (+.f64 (.f64 -1/4 (/.f64 (log.f64 x) (pow.f64 (sqrt.f64 -1/2) 2))) (.f64 1/4 (/.f64 (log.f64 x) (pow.f64 (sqrt.f64 -1/2) 2)))) (pow.f64 x 2)) (*.f64 (pow.f64 (sqrt.f64 -1/2) 2) (log.f64 x))))
(fma.f64 (log.f64 x) x (*.f64 (pow.f64 (sqrt.f64 -1/2) 2) (log.f64 x)))
(*.f64 (log.f64 x) (+.f64 x -1/2))
(*.f64 (log.f64 x) (+.f64 -1/2 x))
(+.f64 (.f64 (+.f64 (.f64 -1/8 (/.f64 (log.f64 x) (pow.f64 (sqrt.f64 -1/2) 4))) (.f64 1/8 (/.f64 (log.f64 x) (pow.f64 (sqrt.f64 -1/2) 4)))) (pow.f64 x 3)) (+.f64 (.f64 (log.f64 x) x) (+.f64 (.f64 (+.f64 (.f64 -1/4 (/.f64 (log.f64 x) (pow.f64 (sqrt.f64 -1/2) 2))) (.f64 1/4 (/.f64 (log.f64 x) (pow.f64 (sqrt.f64 -1/2) 2)))) (pow.f64 x 2)) (.f64 (pow.f64 (sqrt.f64 -1/2) 2) (log.f64 x)))))
(fma.f64 (log.f64 x) x (*.f64 (pow.f64 (sqrt.f64 -1/2) 2) (log.f64 x)))
(*.f64 (log.f64 x) (+.f64 x -1/2))
(*.f64 (log.f64 x) (+.f64 -1/2 x))
(+.f64 91893853320467/100000000000000 (*.f64 (pow.f64 (sqrt.f64 -1/2) 2) (log.f64 x)))
(+.f64 (*.f64 (pow.f64 (sqrt.f64 -1/2) 2) (log.f64 x)) 91893853320467/100000000000000)
(fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000)
(+.f64 91893853320467/100000000000000 (+.f64 (.f64 (pow.f64 (sqrt.f64 -1/2) 2) (log.f64 x)) (.f64 (-.f64 (log.f64 x) 1) x)))
(+.f64 91893853320467/100000000000000 (fma.f64 (pow.f64 (sqrt.f64 -1/2) 2) (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1))))
(+.f64 91893853320467/100000000000000 (fma.f64 x (+.f64 (log.f64 x) -1) (*.f64 -1/2 (log.f64 x))))
(fma.f64 -1/2 (log.f64 x) (fma.f64 x (+.f64 (log.f64 x) -1) 91893853320467/100000000000000))
(-.f64 (+.f64 91893853320467/100000000000000 (*.f64 (log.f64 x) (+.f64 -1/2 x))) x)
(+.f64 91893853320467/100000000000000 (+.f64 (.f64 (+.f64 (.f64 -1/4 (/.f64 (log.f64 x) (pow.f64 (sqrt.f64 -1/2) 2))) (.f64 1/4 (/.f64 (log.f64 x) (pow.f64 (sqrt.f64 -1/2) 2)))) (pow.f64 x 2)) (+.f64 (.f64 (pow.f64 (sqrt.f64 -1/2) 2) (log.f64 x)) (*.f64 (-.f64 (log.f64 x) 1) x))))
(+.f64 91893853320467/100000000000000 (fma.f64 (pow.f64 (sqrt.f64 -1/2) 2) (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1))))
(+.f64 91893853320467/100000000000000 (fma.f64 x (+.f64 (log.f64 x) -1) (*.f64 -1/2 (log.f64 x))))
(fma.f64 -1/2 (log.f64 x) (fma.f64 x (+.f64 (log.f64 x) -1) 91893853320467/100000000000000))
(-.f64 (+.f64 91893853320467/100000000000000 (*.f64 (log.f64 x) (+.f64 -1/2 x))) x)
(+.f64 (.f64 (+.f64 (.f64 -1/8 (/.f64 (log.f64 x) (pow.f64 (sqrt.f64 -1/2) 4))) (.f64 1/8 (/.f64 (log.f64 x) (pow.f64 (sqrt.f64 -1/2) 4)))) (pow.f64 x 3)) (+.f64 91893853320467/100000000000000 (+.f64 (.f64 (+.f64 (.f64 -1/4 (/.f64 (log.f64 x) (pow.f64 (sqrt.f64 -1/2) 2))) (.f64 1/4 (/.f64 (log.f64 x) (pow.f64 (sqrt.f64 -1/2) 2)))) (pow.f64 x 2)) (+.f64 (.f64 (pow.f64 (sqrt.f64 -1/2) 2) (log.f64 x)) (.f64 (-.f64 (log.f64 x) 1) x)))))
(+.f64 91893853320467/100000000000000 (fma.f64 (pow.f64 (sqrt.f64 -1/2) 2) (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1))))
(+.f64 91893853320467/100000000000000 (fma.f64 x (+.f64 (log.f64 x) -1) (*.f64 -1/2 (log.f64 x))))
(fma.f64 -1/2 (log.f64 x) (fma.f64 x (+.f64 (log.f64 x) -1) 91893853320467/100000000000000))
(-.f64 (+.f64 91893853320467/100000000000000 (*.f64 (log.f64 x) (+.f64 -1/2 x))) x)
(*.f64 -1 x)
(neg.f64 x)
(*.f64 -1 x)
(neg.f64 x)
(*.f64 -1/2 (log.f64 x))
(*.f64 (pow.f64 (sqrt.f64 -1/2) 2) (log.f64 x))
(+.f64 (.f64 -1/2 (log.f64 x)) (.f64 (log.f64 x) x))
(fma.f64 (log.f64 x) x (*.f64 (pow.f64 (sqrt.f64 -1/2) 2) (log.f64 x)))
(*.f64 (log.f64 x) (+.f64 x -1/2))
(*.f64 (log.f64 x) (+.f64 -1/2 x))
(+.f64 (.f64 -1/2 (log.f64 x)) (.f64 (log.f64 x) x))
(fma.f64 (log.f64 x) x (*.f64 (pow.f64 (sqrt.f64 -1/2) 2) (log.f64 x)))
(*.f64 (log.f64 x) (+.f64 x -1/2))
(*.f64 (log.f64 x) (+.f64 -1/2 x))
(+.f64 (.f64 -1/2 (log.f64 x)) (.f64 (log.f64 x) x))
(fma.f64 (log.f64 x) x (*.f64 (pow.f64 (sqrt.f64 -1/2) 2) (log.f64 x)))
(*.f64 (log.f64 x) (+.f64 x -1/2))
(*.f64 (log.f64 x) (+.f64 -1/2 x))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x)) x))
(neg.f64 (*.f64 x (neg.f64 (log.f64 x))))
(*.f64 (neg.f64 x) (neg.f64 (log.f64 x)))
(*.f64 x (log.f64 x))
(+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x)) x)) (*.f64 1/2 (log.f64 (/.f64 1 x))))
(fma.f64 (log.f64 x) x (*.f64 (pow.f64 (sqrt.f64 -1/2) 2) (log.f64 x)))
(*.f64 (log.f64 x) (+.f64 x -1/2))
(*.f64 (log.f64 x) (+.f64 -1/2 x))
(+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x)) x)) (*.f64 1/2 (log.f64 (/.f64 1 x))))
(fma.f64 (log.f64 x) x (*.f64 (pow.f64 (sqrt.f64 -1/2) 2) (log.f64 x)))
(*.f64 (log.f64 x) (+.f64 x -1/2))
(*.f64 (log.f64 x) (+.f64 -1/2 x))
(+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x)) x)) (*.f64 1/2 (log.f64 (/.f64 1 x))))
(fma.f64 (log.f64 x) x (*.f64 (pow.f64 (sqrt.f64 -1/2) 2) (log.f64 x)))
(*.f64 (log.f64 x) (+.f64 x -1/2))
(*.f64 (log.f64 x) (+.f64 -1/2 x))
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)
(neg.f64 (*.f64 x (neg.f64 (log.f64 x))))
(*.f64 (neg.f64 x) (neg.f64 (log.f64 x)))
(*.f64 x (log.f64 x))
(+.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x) (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(fma.f64 (log.f64 x) x (*.f64 (pow.f64 (sqrt.f64 -1/2) 2) (log.f64 x)))
(*.f64 (log.f64 x) (+.f64 x -1/2))
(*.f64 (log.f64 x) (+.f64 -1/2 x))
(+.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x) (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(fma.f64 (log.f64 x) x (*.f64 (pow.f64 (sqrt.f64 -1/2) 2) (log.f64 x)))
(*.f64 (log.f64 x) (+.f64 x -1/2))
(*.f64 (log.f64 x) (+.f64 -1/2 x))
(+.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x) (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(fma.f64 (log.f64 x) x (*.f64 (pow.f64 (sqrt.f64 -1/2) 2) (log.f64 x)))
(*.f64 (log.f64 x) (+.f64 x -1/2))
(*.f64 (log.f64 x) (+.f64 -1/2 x))

localize61.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 (-.f64 x 1/2) (log.f64 x))
	0.2b	(+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000)
✓	0.4b	(pow.f64 (sqrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) 2)
	4.6b	(/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)

Compiler

Compiled 121 to 79 computations (34.7% saved)

series42.0ms (0.2%)

Counts

1 → 16

Calls

9 calls:

Time	Variable		Point	Expression
27.0ms	z	@	0	(pow.f64 (sqrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) 2)
2.0ms	y	@	inf	(pow.f64 (sqrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) 2)
2.0ms	z	@	-inf	(pow.f64 (sqrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) 2)
2.0ms	x	@	-inf	(pow.f64 (sqrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) 2)
2.0ms	x	@	0	(pow.f64 (sqrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) 2)

rewrite88.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

564×	`log-prod_binary64`
347×	`pow2_binary64`
335×	`pow-prod-down_binary64`
243×	`expm1-udef_binary64`
243×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	15
1	305	15
2	3426	15

Stop Event

1×	node limit

Counts

1 → 51

Calls

Call 1

Inputs
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) 2)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) (sqrt.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) 2) (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000)) 2) (*.f64 (cbrt.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) 1/4) (pow.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000)) (*.f64 (sqrt.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000)) (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -1/2) (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000)) 1) (/.f64 (sqrt.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000)) 2) (cbrt.f64 (*.f64 x x))) (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000)) (cbrt.f64 (*.f64 x x))) (/.f64 (sqrt.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) 3/4) (pow.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) 5/6) (pow.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 x (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000)) 2) (/.f64 x (cbrt.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000)) (/.f64 x (sqrt.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (/.f64 x (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000))) (neg.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (*.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) 1/2) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (*.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000)) 1/2) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 x (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000))) -1))))))

simplify46.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

686×	`fma-def_binary64`
527×	`associate-+l+_binary64`
422×	`associate-r_binary64`
395×	`associate-l_binary64`
368×	`associate-+r+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	125	685
1	408	539
2	1591	473

Stop Event

1×	node limit

Counts

67 → 75

Calls

Call 1

Inputs
(/.f64 (pow.f64 (sqrt.f64 83333333333333/1000000000000000) 2) x)
(+.f64 (/.f64 (pow.f64 (sqrt.f64 83333333333333/1000000000000000) 2) x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(+.f64 (.f64 (pow.f64 z 2) (-.f64 (+.f64 (.f64 7936500793651/10000000000000000 (/.f64 1 x)) (+.f64 (/.f64 y x) (.f64 192901234567904320987654321/100000000000000000000000000000000 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 83333333333333/1000000000000000) 2) x))))) (pow.f64 (.f64 -13888888888889/10000000000000000 (.f64 (/.f64 1 (sqrt.f64 83333333333333/1000000000000000)) (sqrt.f64 (/.f64 1 x)))) 2))) (+.f64 (/.f64 (pow.f64 (sqrt.f64 83333333333333/1000000000000000) 2) x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(+.f64 (.f64 (pow.f64 z 2) (-.f64 (+.f64 (.f64 7936500793651/10000000000000000 (/.f64 1 x)) (+.f64 (/.f64 y x) (.f64 192901234567904320987654321/100000000000000000000000000000000 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 83333333333333/1000000000000000) 2) x))))) (pow.f64 (.f64 -13888888888889/10000000000000000 (.f64 (/.f64 1 (sqrt.f64 83333333333333/1000000000000000)) (sqrt.f64 (/.f64 1 x)))) 2))) (+.f64 (/.f64 (pow.f64 (sqrt.f64 83333333333333/1000000000000000) 2) x) (+.f64 (.f64 -13888888888889/5000000000000000 (/.f64 z x)) (.f64 (pow.f64 z 3) (+.f64 (.f64 -13888888888889/10000000000000000 (/.f64 (-.f64 (+.f64 (.f64 7936500793651/10000000000000000 (/.f64 1 x)) (/.f64 y x)) (pow.f64 (.f64 -13888888888889/10000000000000000 (.f64 (/.f64 1 (sqrt.f64 83333333333333/1000000000000000)) (sqrt.f64 (/.f64 1 x)))) 2)) (pow.f64 (sqrt.f64 83333333333333/1000000000000000) 2))) (.f64 13888888888889/10000000000000000 (/.f64 (-.f64 (+.f64 (.f64 7936500793651/10000000000000000 (/.f64 1 x)) (/.f64 y x)) (pow.f64 (.f64 -13888888888889/10000000000000000 (.f64 (/.f64 1 (sqrt.f64 83333333333333/1000000000000000)) (sqrt.f64 (/.f64 1 x)))) 2)) (pow.f64 (sqrt.f64 83333333333333/1000000000000000) 2))))))))
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(+.f64 (/.f64 (.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x) (.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(-.f64 (+.f64 (.f64 192901234567904320987654321/100000000000000000000000000000000 (/.f64 1 (.f64 (+.f64 7936500793651/10000000000000000 y) x))) (+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x) (.f64 -13888888888889/5000000000000000 (/.f64 z x))))) (pow.f64 (.f64 -13888888888889/10000000000000000 (sqrt.f64 (/.f64 1 (*.f64 (+.f64 7936500793651/10000000000000000 y) x)))) 2))
(-.f64 (+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (.f64 192901234567904320987654321/100000000000000000000000000000000 (/.f64 1 (.f64 (+.f64 7936500793651/10000000000000000 y) x))) (+.f64 (.f64 13888888888889/10000000000000000 (/.f64 (-.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (pow.f64 (.f64 -13888888888889/10000000000000000 (sqrt.f64 (/.f64 1 (.f64 (+.f64 7936500793651/10000000000000000 y) x)))) 2)) (.f64 z (+.f64 7936500793651/10000000000000000 y)))) (+.f64 (.f64 -13888888888889/10000000000000000 (/.f64 (-.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (pow.f64 (.f64 -13888888888889/10000000000000000 (sqrt.f64 (/.f64 1 (.f64 (+.f64 7936500793651/10000000000000000 y) x)))) 2)) (.f64 z (+.f64 7936500793651/10000000000000000 y)))) (+.f64 (/.f64 (.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x) (.f64 -13888888888889/5000000000000000 (/.f64 z x))))))) (pow.f64 (.f64 -13888888888889/10000000000000000 (sqrt.f64 (/.f64 1 (*.f64 (+.f64 7936500793651/10000000000000000 y) x)))) 2))
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(+.f64 (/.f64 (.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x) (.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(-.f64 (+.f64 (.f64 192901234567904320987654321/100000000000000000000000000000000 (/.f64 1 (.f64 (+.f64 7936500793651/10000000000000000 y) x))) (+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x) (.f64 -13888888888889/5000000000000000 (/.f64 z x))))) (pow.f64 (.f64 13888888888889/10000000000000000 (sqrt.f64 (/.f64 1 (*.f64 (+.f64 7936500793651/10000000000000000 y) x)))) 2))
(-.f64 (+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (.f64 192901234567904320987654321/100000000000000000000000000000000 (/.f64 1 (.f64 (+.f64 7936500793651/10000000000000000 y) x))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -13888888888889/10000000000000000 (/.f64 (-.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (pow.f64 (.f64 13888888888889/10000000000000000 (sqrt.f64 (/.f64 1 (.f64 (+.f64 7936500793651/10000000000000000 y) x)))) 2)) (+.f64 7936500793651/10000000000000000 y))) (.f64 13888888888889/10000000000000000 (/.f64 (-.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (pow.f64 (.f64 13888888888889/10000000000000000 (sqrt.f64 (/.f64 1 (.f64 (+.f64 7936500793651/10000000000000000 y) x)))) 2)) (+.f64 7936500793651/10000000000000000 y)))) z)) (+.f64 (/.f64 (.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x) (.f64 -13888888888889/5000000000000000 (/.f64 z x)))))) (pow.f64 (.f64 13888888888889/10000000000000000 (sqrt.f64 (/.f64 1 (.f64 (+.f64 7936500793651/10000000000000000 y) x)))) 2))
(/.f64 (+.f64 83333333333333/1000000000000000 (.f64 (-.f64 (.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z)) x)
(+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (/.f64 (.f64 (-.f64 (.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x)))
(+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (+.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 1/4 (/.f64 (pow.f64 z 4) (.f64 (+.f64 83333333333333/1000000000000000 (.f64 (-.f64 (.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z)) x))) (.f64 -1/4 (/.f64 (pow.f64 z 4) (.f64 (+.f64 83333333333333/1000000000000000 (.f64 (-.f64 (.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z)) x))))) (+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (/.f64 (.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x))))
(+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (+.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 1/4 (/.f64 (pow.f64 z 4) (.f64 (+.f64 83333333333333/1000000000000000 (.f64 (-.f64 (.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z)) x))) (.f64 -1/4 (/.f64 (pow.f64 z 4) (.f64 (+.f64 83333333333333/1000000000000000 (.f64 (-.f64 (.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z)) x))))) (+.f64 (.f64 (pow.f64 y 3) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 z 6) (.f64 (pow.f64 (+.f64 83333333333333/1000000000000000 (.f64 (-.f64 (.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z)) 2) x))) (.f64 1/8 (/.f64 (pow.f64 z 6) (.f64 (pow.f64 (+.f64 83333333333333/1000000000000000 (.f64 (-.f64 (.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z)) 2) x))))) (+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (/.f64 (.f64 (-.f64 (.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x)))))

Outputs
(/.f64 (pow.f64 (sqrt.f64 83333333333333/1000000000000000) 2) x)
(/.f64 83333333333333/1000000000000000 x)
(+.f64 (/.f64 (pow.f64 (sqrt.f64 83333333333333/1000000000000000) 2) x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (.f64 (pow.f64 z 2) (-.f64 (+.f64 (.f64 7936500793651/10000000000000000 (/.f64 1 x)) (+.f64 (/.f64 y x) (.f64 192901234567904320987654321/100000000000000000000000000000000 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 83333333333333/1000000000000000) 2) x))))) (pow.f64 (.f64 -13888888888889/10000000000000000 (.f64 (/.f64 1 (sqrt.f64 83333333333333/1000000000000000)) (sqrt.f64 (/.f64 1 x)))) 2))) (+.f64 (/.f64 (pow.f64 (sqrt.f64 83333333333333/1000000000000000) 2) x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(fma.f64 (.f64 z z) (-.f64 (+.f64 (/.f64 7936500793651/10000000000000000 x) (+.f64 (/.f64 y x) (/.f64 192901234567904320987654321/100000000000000000000000000000000 (.f64 (pow.f64 (sqrt.f64 83333333333333/1000000000000000) 2) x)))) (pow.f64 (.f64 -13888888888889/10000000000000000 (.f64 (/.f64 1 (sqrt.f64 83333333333333/1000000000000000)) (sqrt.f64 (/.f64 1 x)))) 2)) (+.f64 (/.f64 (pow.f64 (sqrt.f64 83333333333333/1000000000000000) 2) x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(fma.f64 (.f64 z z) (+.f64 (/.f64 7936500793651/10000000000000000 x) (+.f64 (/.f64 y x) (-.f64 (/.f64 192901234567904320987654321/8333333333333300000000000000000 x) (pow.f64 (.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 -13888888888889/10000000000000000 (sqrt.f64 83333333333333/1000000000000000))) 2)))) (fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (/.f64 83333333333333/1000000000000000 x)))
(+.f64 (.f64 (pow.f64 z 2) (-.f64 (+.f64 (.f64 7936500793651/10000000000000000 (/.f64 1 x)) (+.f64 (/.f64 y x) (.f64 192901234567904320987654321/100000000000000000000000000000000 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 83333333333333/1000000000000000) 2) x))))) (pow.f64 (.f64 -13888888888889/10000000000000000 (.f64 (/.f64 1 (sqrt.f64 83333333333333/1000000000000000)) (sqrt.f64 (/.f64 1 x)))) 2))) (+.f64 (/.f64 (pow.f64 (sqrt.f64 83333333333333/1000000000000000) 2) x) (+.f64 (.f64 -13888888888889/5000000000000000 (/.f64 z x)) (.f64 (pow.f64 z 3) (+.f64 (.f64 -13888888888889/10000000000000000 (/.f64 (-.f64 (+.f64 (.f64 7936500793651/10000000000000000 (/.f64 1 x)) (/.f64 y x)) (pow.f64 (.f64 -13888888888889/10000000000000000 (.f64 (/.f64 1 (sqrt.f64 83333333333333/1000000000000000)) (sqrt.f64 (/.f64 1 x)))) 2)) (pow.f64 (sqrt.f64 83333333333333/1000000000000000) 2))) (.f64 13888888888889/10000000000000000 (/.f64 (-.f64 (+.f64 (.f64 7936500793651/10000000000000000 (/.f64 1 x)) (/.f64 y x)) (pow.f64 (.f64 -13888888888889/10000000000000000 (.f64 (/.f64 1 (sqrt.f64 83333333333333/1000000000000000)) (sqrt.f64 (/.f64 1 x)))) 2)) (pow.f64 (sqrt.f64 83333333333333/1000000000000000) 2))))))))
(fma.f64 (.f64 z z) (-.f64 (+.f64 (/.f64 7936500793651/10000000000000000 x) (+.f64 (/.f64 y x) (/.f64 192901234567904320987654321/100000000000000000000000000000000 (.f64 (pow.f64 (sqrt.f64 83333333333333/1000000000000000) 2) x)))) (pow.f64 (.f64 -13888888888889/10000000000000000 (.f64 (/.f64 1 (sqrt.f64 83333333333333/1000000000000000)) (sqrt.f64 (/.f64 1 x)))) 2)) (+.f64 (/.f64 (pow.f64 (sqrt.f64 83333333333333/1000000000000000) 2) x) (fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (.f64 (pow.f64 z 3) (.f64 (/.f64 (-.f64 (+.f64 (/.f64 7936500793651/10000000000000000 x) (/.f64 y x)) (pow.f64 (.f64 -13888888888889/10000000000000000 (.f64 (/.f64 1 (sqrt.f64 83333333333333/1000000000000000)) (sqrt.f64 (/.f64 1 x)))) 2)) (pow.f64 (sqrt.f64 83333333333333/1000000000000000) 2)) 0)))))
(+.f64 (fma.f64 (.f64 z z) (+.f64 (/.f64 7936500793651/10000000000000000 x) (+.f64 (/.f64 y x) (-.f64 (/.f64 192901234567904320987654321/8333333333333300000000000000000 x) (pow.f64 (.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 -13888888888889/10000000000000000 (sqrt.f64 83333333333333/1000000000000000))) 2)))) (fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (/.f64 83333333333333/1000000000000000 x))) (*.f64 (pow.f64 z 3) 0))
(fma.f64 (.f64 z z) (+.f64 (/.f64 7936500793651/10000000000000000 x) (+.f64 (/.f64 y x) (-.f64 (/.f64 192901234567904320987654321/8333333333333300000000000000000 x) (pow.f64 (.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 -13888888888889/10000000000000000 (sqrt.f64 83333333333333/1000000000000000))) 2)))) (+.f64 (fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (/.f64 83333333333333/1000000000000000 x)) 0))
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y)))
(.f64 (/.f64 (.f64 z z) x) (+.f64 7936500793651/10000000000000000 y))
(*.f64 (+.f64 7936500793651/10000000000000000 y) (/.f64 z (/.f64 x z)))
(+.f64 (/.f64 (.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x) (.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(+.f64 (.f64 -13888888888889/5000000000000000 (/.f64 z x)) (/.f64 (.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y))))
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(+.f64 (fma.f64 (/.f64 (fma.f64 z 7936500793651/10000000000000000 -13888888888889/5000000000000000) x) z (fma.f64 (/.f64 y x) (*.f64 z z) (/.f64 83333333333333/1000000000000000 x))) 0)

eval808.0ms (4.5%)

Compiler: Compiled 27980 to 18764 computations (32.9% saved)

prune903.0ms (5%)

Pruning

30 alts after pruning (30 fresh and 0 done)

	Pruned	Kept	Total
New	969	28	997
Fresh	18	2	20
Picked	1	0	1
Done	4	0	4
Total	992	30	1022

Error

Counts

1022 → 30

Alt Table

Click to see full alt table

Status	Error	Program
▶	42.8b	(-.f64 (+.f64 91893853320467/100000000000000 (.f64 83333333333333/1000000000000000 (/.f64 1 x))) (.f64 1/2 (log.f64 x)))
▶	0.8b	(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000) (/.f64 x z))))
	9.5b	(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (pow.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) 2))
	9.7b	(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (pow.f64 (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)) 3))
	42.8b	(+.f64 (+.f64 (-.f64 (*.f64 -1/2 (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
	9.9b	(+.f64 (+.f64 (-.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) 3) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
	9.5b	(+.f64 (fma.f64 (sqrt.f64 (.f64 (+.f64 x -1/2) (log.f64 x))) (sqrt.f64 (.f64 (+.f64 x -1/2) (log.f64 x))) (neg.f64 (+.f64 x -91893853320467/100000000000000))) (/.f64 83333333333333/1000000000000000 x))
	26.5b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 y (/.f64 (*.f64 z z) x)))
▶	19.5b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (sqrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (.f64 x x))))
	42.7b	(+.f64 91893853320467/100000000000000 (-.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 1/2 (log.f64 x))))
	29.4b	(+.f64 91893853320467/100000000000000 (.f64 -1 (.f64 (+.f64 1 (log.f64 (/.f64 1 x))) x)))
	5.1b	(+.f64 (+.f64 (-.f64 (.f64 (.f64 (sqrt.f64 (.f64 (+.f64 x -1/2) (log.f64 x))) (cbrt.f64 (.f64 (+.f64 x -1/2) (log.f64 x)))) (cbrt.f64 (sqrt.f64 (.f64 (+.f64 x -1/2) (log.f64 x))))) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
	20.8b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 z (*.f64 z (/.f64 (+.f64 7936500793651/10000000000000000 y) x))))
▶	9.9b	(+.f64 (+.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x)) 3) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
	35.8b	(+.f64 (neg.f64 x) (/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
	9.5b	(+.f64 (+.f64 (pow.f64 (sqrt.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x)) 2) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
	4.8b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 83333333333333/1000000000000000 x) (+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (/.f64 (.f64 (-.f64 (.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x))))
	32.3b	(+.f64 (+.f64 (-.f64 (.f64 (.f64 (+.f64 x -1/2) (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x))) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
	29.1b	(+.f64 (-.f64 91893853320467/100000000000000 x) (*.f64 (log.f64 x) (+.f64 -1/2 x)))
	9.4b	(-.f64 (-.f64 (+.f64 (/.f64 83333333333333/1000000000000000 x) 91893853320467/100000000000000) (*.f64 (log.f64 x) (-.f64 1/2 x))) x)
▶	41.7b	(+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))
	30.4b	(+.f64 (/.f64 1 (/.f64 (-.f64 (.f64 (+.f64 x -1/2) (log.f64 x)) (+.f64 x 91893853320467/100000000000000)) (+.f64 (pow.f64 (-.f64 (.f64 (+.f64 x -1/2) (log.f64 x)) x) 2) -8444480278083503881401098089/10000000000000000000000000000))) (/.f64 83333333333333/1000000000000000 x))
	30.1b	(+.f64 (+.f64 (-.f64 (/.f64 (*.f64 (fma.f64 x x -1/4) (log.f64 x)) (+.f64 x 1/2)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
	1.7b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 83333333333333/1000000000000000 x) (.f64 (/.f64 z x) (*.f64 z (+.f64 y 7936500793651/10000000000000000)))))
	40.4b	(+.f64 91893853320467/100000000000000 (/.f64 (-.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)) (pow.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x) 2)) (+.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 (log.f64 x) (-.f64 1/2 x) x))))
	5.3b	(+.f64 (+.f64 (-.f64 (.f64 (pow.f64 (cbrt.f64 (+.f64 x -1/2)) 2) (.f64 (cbrt.f64 (+.f64 x -1/2)) (log.f64 x))) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
	9.5b	(+.f64 (+.f64 (-.f64 (pow.f64 (sqrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) 2) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
	9.4b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (pow.f64 (.f64 x 1000000000000000/83333333333333) -1))
	6.8b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x)))
	42.7b	(+.f64 (+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x))) (/.f64 83333333333333/1000000000000000 x))

Compiler

Compiled 1344 to 1012 computations (24.7% saved)

localize83.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 (-.f64 x 1/2) (log.f64 x))
	0.2b	(+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000)
	0.4b	(/.f64 83333333333333/1000000000000000 x)
✓	2.5b	(/.f64 (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000) (/.f64 x z))

Compiler

Compiled 104 to 61 computations (41.3% saved)

series5.0ms (0%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	z	@	0	(/.f64 (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000) (/.f64 x z))
1.0ms	x	@	-inf	(/.f64 (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000) (/.f64 x z))
1.0ms	y	@	inf	(/.f64 (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000) (/.f64 x z))
1.0ms	z	@	inf	(/.f64 (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000) (/.f64 x z))
1.0ms	z	@	-inf	(/.f64 (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000) (/.f64 x z))

rewrite92.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

557×	`log-prod_binary64`
313×	`pow-prod-down_binary64`
299×	`pow2_binary64`
209×	`pow1/3_binary64`
206×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	14
1	225	14
2	3101	14

Stop Event

1×	node limit

Counts

1 → 54

Calls

Call 1

Inputs
(/.f64 (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000) (/.f64 x z))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 z (/.f64 (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (/.f64 (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000) x))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (/.f64 (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (/.f64 (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000) x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (/.f64 (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 z (/.f64 (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (/.f64 (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000) (/.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z (/.f64 (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 z (/.f64 (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 z (/.f64 (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000) x))) (cbrt.f64 (pow.f64 (/.f64 (/.f64 x z) (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 x z) (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000)) -2)) (cbrt.f64 (*.f64 z (/.f64 (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000)) 2) (*.f64 (cbrt.f64 (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000)) (/.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 z (/.f64 (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000) x))) (sqrt.f64 (*.f64 z (/.f64 (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000)) (*.f64 (sqrt.f64 (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000)) (/.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000)) (/.f64 1 (/.f64 (neg.f64 x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z x) (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000) x) z)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000)) (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000)) 1) (/.f64 (sqrt.f64 (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000)) (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000)) x) (/.f64 (sqrt.f64 (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000)) (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000) (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000)) 2) x) (/.f64 (cbrt.f64 (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000)) (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x z)) -2) (/.f64 (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000) (cbrt.f64 (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000)) 2) (pow.f64 (cbrt.f64 (/.f64 x z)) 2)) (cbrt.f64 (*.f64 z (/.f64 (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000)) (pow.f64 (cbrt.f64 (/.f64 x z)) 2)) (/.f64 (sqrt.f64 (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000)) (cbrt.f64 (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 x z) -1/2) (/.f64 (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000) (sqrt.f64 (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000)) 2) (sqrt.f64 (/.f64 x z))) (/.f64 (cbrt.f64 (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000)) (sqrt.f64 (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000) 1) (/.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000) (neg.f64 x)) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000) x) 1) z)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000) x) (cbrt.f64 (*.f64 z z))) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000) x) (sqrt.f64 z)) (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z (/.f64 (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 x z) (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000)) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 x z) (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000)) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 z (/.f64 (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 z (/.f64 (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 x z) (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000) 3) (pow.f64 (/.f64 x z) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (/.f64 x z) (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000) (/.f64 (neg.f64 x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (/.f64 x z) (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (/.f64 (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 z (/.f64 (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (/.f64 x z) (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000) 3) (pow.f64 (/.f64 x z) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 z (/.f64 (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 z (/.f64 (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 z (/.f64 (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 z (/.f64 (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000) x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (/.f64 x z) (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000)) -3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 z (/.f64 (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000) x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 z (/.f64 (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000) x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 x z) (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 z (/.f64 (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000) x))) 1) 1))))))

simplify84.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

691×	`fma-neg_binary64`
570×	`associate-l_binary64`
511×	`fma-def_binary64`
426×	`associate-r_binary64`
403×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	33	754
1	80	754
2	166	754
3	379	484
4	1257	484
5	4702	484

Stop Event

1×	node limit

Counts

90 → 66

Calls

Call 1

Inputs
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(+.f64 (.f64 -13888888888889/5000000000000000 (/.f64 z x)) (.f64 (+.f64 (/.f64 y x) (*.f64 7936500793651/10000000000000000 (/.f64 1 x))) (pow.f64 z 2)))
(+.f64 (.f64 -13888888888889/5000000000000000 (/.f64 z x)) (.f64 (+.f64 (/.f64 y x) (*.f64 7936500793651/10000000000000000 (/.f64 1 x))) (pow.f64 z 2)))
(+.f64 (.f64 -13888888888889/5000000000000000 (/.f64 z x)) (.f64 (+.f64 (/.f64 y x) (*.f64 7936500793651/10000000000000000 (/.f64 1 x))) (pow.f64 z 2)))
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(+.f64 (/.f64 (.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x) (.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(+.f64 (/.f64 (.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x) (.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(+.f64 (/.f64 (.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x) (.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(+.f64 (/.f64 (.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x) (.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(+.f64 (/.f64 (.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x) (.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(+.f64 (/.f64 (.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x) (.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(/.f64 (.f64 (-.f64 (.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x)
(+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (/.f64 (.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x))
(+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (/.f64 (.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x))
(+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (/.f64 (.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (/.f64 (.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x))
(+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (/.f64 (.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x))
(+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (/.f64 (.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (/.f64 (.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x))
(+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (/.f64 (.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x))
(+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (/.f64 (.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x))
(/.f64 (.f64 (-.f64 (.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z) x)
(/.f64 (.f64 (-.f64 (.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z) x)
(/.f64 (.f64 (-.f64 (.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z) x)
(/.f64 (.f64 (-.f64 (.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z) x)
(/.f64 (.f64 (-.f64 (.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z) x)
(/.f64 (.f64 (-.f64 (.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z) x)
(/.f64 (.f64 (-.f64 (.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z) x)
(/.f64 (.f64 (-.f64 (.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z) x)
(/.f64 (.f64 (-.f64 (.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z) x)
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(/.f64 (.f64 (-.f64 (.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z) x)

Outputs
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(*.f64 (/.f64 z x) (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000))
(*.f64 z (/.f64 (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) x))
(/.f64 (.f64 (-.f64 (.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z) x)
(fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (.f64 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x)) (.f64 z z)))
(fma.f64 z (.f64 z (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))) (.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(*.f64 (/.f64 z x) (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000))
(*.f64 z (/.f64 (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) x))
(/.f64 (.f64 (-.f64 (.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z) x)
(fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (.f64 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x)) (.f64 z z)))
(fma.f64 z (.f64 z (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))) (.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(*.f64 (/.f64 z x) (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000))
(*.f64 z (/.f64 (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) x))
(/.f64 (.f64 (-.f64 (.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z) x)
(fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (.f64 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x)) (.f64 z z)))
(fma.f64 z (.f64 z (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))) (.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(*.f64 (/.f64 z x) (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000))
(*.f64 z (/.f64 (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) x))
(/.f64 (.f64 (-.f64 (.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z) x)
(fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (.f64 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x)) (.f64 z z)))
(fma.f64 z (.f64 z (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))) (.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(*.f64 (/.f64 z x) (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000))
(*.f64 z (/.f64 (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) x))
(/.f64 (.f64 (-.f64 (.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z) x)
(fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (.f64 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x)) (.f64 z z)))
(fma.f64 z (.f64 z (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))) (.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(*.f64 (/.f64 z x) (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000))
(*.f64 z (/.f64 (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) x))

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))
	0.4b	(/.f64 83333333333333/1000000000000000 x)

Compiler

Compiled 14 to 11 computations (21.4% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

(+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))

0.0ms

inf

(+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))

0.0ms

-inf

(+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))

rewrite113.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

708×	`pow1_binary64`
673×	`add-log-exp_binary64`
673×	`log1p-expm1-u_binary64`
673×	`expm1-log1p-u_binary64`
663×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	139	7
2	1759	7

Stop Event

1×	node limit

Counts

1 → 31

Calls

Call 1

Inputs
(+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 8444480278083503881401098089/10000000000000000000000000000 (-.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))) (/.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)) (-.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))) (pow.f64 (cbrt.f64 (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))) 2) (cbrt.f64 (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))) (sqrt.f64 (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000 (/.f64 578703703703696759259259259287037037037037/1000000000000000000000000000000000000000000000 (pow.f64 x 3))) (/.f64 1 (+.f64 8444480278083503881401098089/10000000000000000000000000000 (-.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)) (/.f64 7657821110038886035382226511/100000000000000000000000000000 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 8444480278083503881401098089/10000000000000000000000000000 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x))) (/.f64 1 (-.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 8444480278083503881401098089/10000000000000000000000000000 (-.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)) (/.f64 7657821110038886035382226511/100000000000000000000000000000 x))) (+.f64 775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000 (/.f64 578703703703696759259259259287037037037037/1000000000000000000000000000000000000000000000 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x)) (-.f64 8444480278083503881401098089/10000000000000000000000000000 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000 (/.f64 578703703703696759259259259287037037037037/1000000000000000000000000000000000000000000000 (pow.f64 x 3))) (+.f64 8444480278083503881401098089/10000000000000000000000000000 (-.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)) (/.f64 7657821110038886035382226511/100000000000000000000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000 (/.f64 578703703703696759259259259287037037037037/1000000000000000000000000000000000000000000000 (pow.f64 x 3))) (+.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)) (-.f64 8444480278083503881401098089/10000000000000000000000000000 (/.f64 7657821110038886035382226511/100000000000000000000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 8444480278083503881401098089/10000000000000000000000000000 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x))) (-.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000 (/.f64 578703703703696759259259259287037037037037/1000000000000000000000000000000000000000000000 (pow.f64 x 3)))) (neg.f64 (+.f64 8444480278083503881401098089/10000000000000000000000000000 (-.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)) (/.f64 7657821110038886035382226511/100000000000000000000000000000 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 8444480278083503881401098089/10000000000000000000000000000 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)))) (neg.f64 (-.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)) 8444480278083503881401098089/10000000000000000000000000000) (-.f64 (/.f64 83333333333333/1000000000000000 x) 91893853320467/100000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 83333333333333/1000000000000000 (/.f64 1 x) 91893853320467/100000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 83333333333333/1000000000000000 x) 91893853320467/100000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x))) (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)) 91893853320467/100000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) 91893853320467/100000000000000)))))

simplify17.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`fma-def_binary64`
1×	`+-commutative_binary64`
1×	`*-commutative_binary64`
1×	`associate-*r/_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	69
1	14	69
2	17	69

Stop Event

1×

saturated

Counts

43 → 35

Calls

Call 1

Inputs
(/.f64 83333333333333/1000000000000000 x)
(+.f64 91893853320467/100000000000000 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)))
(+.f64 91893853320467/100000000000000 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)))
(+.f64 91893853320467/100000000000000 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)))
91893853320467/100000000000000
(+.f64 91893853320467/100000000000000 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)))
(+.f64 91893853320467/100000000000000 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)))
(+.f64 91893853320467/100000000000000 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)))
91893853320467/100000000000000
(+.f64 91893853320467/100000000000000 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)))
(+.f64 91893853320467/100000000000000 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)))
(+.f64 91893853320467/100000000000000 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)))

Outputs
(/.f64 83333333333333/1000000000000000 x)
(+.f64 91893853320467/100000000000000 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)))
(+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))
(+.f64 91893853320467/100000000000000 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)))
(+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))
(+.f64 91893853320467/100000000000000 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)))
(+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))
91893853320467/100000000000000
(+.f64 91893853320467/100000000000000 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)))
(+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))
(+.f64 91893853320467/100000000000000 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)))
(+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))
(+.f64 91893853320467/100000000000000 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)))
(+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))
91893853320467/100000000000000
(+.f64 91893853320467/100000000000000 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)))
(+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))
(+.f64 91893853320467/100000000000000 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)))
(+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))
(+.f64 91893853320467/100000000000000 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)))
(+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))

localize35.0ms (0.2%)

Local error

Found 3 expressions with local error:

New

Error

Program

✓

0.0b

(+.f64 91893853320467/100000000000000 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)))

✓

0.1b

(-.f64 (+.f64 91893853320467/100000000000000 (*.f64 83333333333333/1000000000000000 (/.f64 1 x))) (*.f64 1/2 (log.f64 x)))

✓

0.4b

(*.f64 83333333333333/1000000000000000 (/.f64 1 x))

Compiler

Compiled 41 to 31 computations (24.4% saved)

series5.0ms (0%)

Counts

3 → 24

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(-.f64 (+.f64 91893853320467/100000000000000 (.f64 83333333333333/1000000000000000 (/.f64 1 x))) (.f64 1/2 (log.f64 x)))
1.0ms	x	@	-inf	(-.f64 (+.f64 91893853320467/100000000000000 (.f64 83333333333333/1000000000000000 (/.f64 1 x))) (.f64 1/2 (log.f64 x)))
1.0ms	x	@	0	(-.f64 (+.f64 91893853320467/100000000000000 (.f64 83333333333333/1000000000000000 (/.f64 1 x))) (.f64 1/2 (log.f64 x)))
0.0ms	x	@	0	(*.f64 83333333333333/1000000000000000 (/.f64 1 x))
0.0ms	x	@	0	(+.f64 91893853320467/100000000000000 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)))

rewrite139.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

544×	`log-prod_binary64`
415×	`fma-def_binary64`
319×	`pow2_binary64`
316×	`pow-prod-down_binary64`
222×	`expm1-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	26
1	268	25
2	3472	24

Stop Event

1×	node limit

Counts

3 → 196

Calls

Call 1

Inputs

(*.f64 83333333333333/1000000000000000 (/.f64 1 x))

(-.f64 (+.f64 91893853320467/100000000000000 (*.f64 83333333333333/1000000000000000 (/.f64 1 x))) (*.f64 1/2 (log.f64 x)))

(+.f64 91893853320467/100000000000000 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 83333333333333/1000000000000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 83333333333333/1000000000000000 x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 83333333333333/1000000000000000 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 83333333333333/1000000000000000 x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 83333333333333/1000000000000000 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 83333333333333/1000000000000000 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 83333333333333/1000000000000000 x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x 83333333333333/1000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -83333333333333/1000000000000000 (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 83333333333333/1000000000000000 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 83333333333333/1000000000000000 (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 83333333333333/1000000000000000 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x -3) 578703703703696759259259259287037037037037/1000000000000000000000000000000000000000000000) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x 83333333333333/1000000000000000) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 83333333333333/1000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 83333333333333/1000000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x -3) 578703703703696759259259259287037037037037/1000000000000000000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 83333333333333/1000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 83333333333333/1000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 83333333333333/1000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 83333333333333/1000000000000000 x)) 1))))))

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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 83333333333333/1000000000000000 x) 91893853320467/100000000000000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 8444480278083503881401098089/10000000000000000000000000000 (-.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))) (/.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)) (-.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 83333333333333/1000000000000000 x) 91893853320467/100000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 83333333333333/1000000000000000 x) 91893853320467/100000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 83333333333333/1000000000000000 x) 91893853320467/100000000000000)) (cbrt.f64 (pow.f64 (+.f64 (/.f64 83333333333333/1000000000000000 x) 91893853320467/100000000000000) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 83333333333333/1000000000000000 x) 91893853320467/100000000000000) 2)) (cbrt.f64 (+.f64 (/.f64 83333333333333/1000000000000000 x) 91893853320467/100000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 83333333333333/1000000000000000 x) 91893853320467/100000000000000)) (sqrt.f64 (+.f64 (/.f64 83333333333333/1000000000000000 x) 91893853320467/100000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 x -3) 578703703703696759259259259287037037037037/1000000000000000000000000000000000000000000000 775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000) (/.f64 1 (fma.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 (/.f64 83333333333333/1000000000000000 x) 91893853320467/100000000000000) 8444480278083503881401098089/10000000000000000000000000000)))))) (#(struct:change #<rule 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x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 x -3) 578703703703696759259259259287037037037037/1000000000000000000000000000000000000000000000 775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000) (fma.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 (/.f64 83333333333333/1000000000000000 x) 91893853320467/100000000000000) 8444480278083503881401098089/10000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 x -3) 578703703703696759259259259287037037037037/1000000000000000000000000000000000000000000000 775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000) (fma.f64 (pow.f64 x -2) 6944444444444388888888888889/1000000000000000000000000000000 (-.f64 8444480278083503881401098089/10000000000000000000000000000 (/.f64 7657821110038886035382226511/100000000000000000000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 x -2) 6944444444444388888888888889/1000000000000000000000000000000 -8444480278083503881401098089/10000000000000000000000000000) (-.f64 (/.f64 83333333333333/1000000000000000 x) 91893853320467/100000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 83333333333333/1000000000000000 x) 91893853320467/100000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 83333333333333/1000000000000000 x) 91893853320467/100000000000000) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 83333333333333/1000000000000000 x) 91893853320467/100000000000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (/.f64 83333333333333/1000000000000000 x) 91893853320467/100000000000000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 83333333333333/1000000000000000 x) 91893853320467/100000000000000) 3) 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((x fma.f64 83333333333333/1000000000000000 (/.f64 1 x) 91893853320467/100000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 83333333333333/1000000000000000 x) 91893853320467/100000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 x) 83333333333333/1000000000000000 91893853320467/100000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 83333333333333/1000000000000000 x) 1 91893853320467/100000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 (/.f64 1 (cbrt.f64 x)) 83333333333333/1000000000000000) 91893853320467/100000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)) (cbrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x))) 91893853320467/100000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x))) (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)) 91893853320467/100000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x -1/2) (*.f64 (pow.f64 x -1/2) 83333333333333/1000000000000000) 91893853320467/100000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) 91893853320467/100000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 83333333333333/1000000000000000 (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x)) 91893853320467/100000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 83333333333333/1000000000000000 (pow.f64 x -1/2)) (pow.f64 x -1/2) 91893853320467/100000000000000)))))

simplify173.0ms (1%)

Algorithm

1×	egg-herbie

Rules

764×	`fma-neg_binary64`
664×	`distribute-rgt-in_binary64`
497×	`unsub-neg_binary64`
434×	`distribute-neg-in_binary64`
360×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	24	182
1	64	166
2	163	150
3	388	150
4	887	150
5	2084	150
6	3729	150
7	5200	150
8	5732	150
9	5969	150
10	5993	150
11	6008	150
12	6012	150
13	6416	150
14	7891	150

Stop Event

1×	node limit

Counts

220 → 203

Calls

Call 1

Inputs
(/.f64 83333333333333/1000000000000000 x)
(/.f64 83333333333333/1000000000000000 x)
(/.f64 83333333333333/1000000000000000 x)
(/.f64 83333333333333/1000000000000000 x)
(/.f64 83333333333333/1000000000000000 x)
(/.f64 83333333333333/1000000000000000 x)
(/.f64 83333333333333/1000000000000000 x)
(/.f64 83333333333333/1000000000000000 x)
(/.f64 83333333333333/1000000000000000 x)
(/.f64 83333333333333/1000000000000000 x)
(/.f64 83333333333333/1000000000000000 x)
(/.f64 83333333333333/1000000000000000 x)
(/.f64 83333333333333/1000000000000000 x)
(-.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 91893853320467/100000000000000 (.f64 83333333333333/1000000000000000 (/.f64 1 x))) (.f64 -1/2 (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 91893853320467/100000000000000 (.f64 83333333333333/1000000000000000 (/.f64 1 x))) (.f64 -1/2 (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 91893853320467/100000000000000 (.f64 83333333333333/1000000000000000 (/.f64 1 x))) (.f64 -1/2 (log.f64 (/.f64 1 x))))
(-.f64 91893853320467/100000000000000 (.f64 1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(-.f64 (+.f64 91893853320467/100000000000000 (.f64 83333333333333/1000000000000000 (/.f64 1 x))) (.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(-.f64 (+.f64 91893853320467/100000000000000 (.f64 83333333333333/1000000000000000 (/.f64 1 x))) (.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(-.f64 (+.f64 91893853320467/100000000000000 (.f64 83333333333333/1000000000000000 (/.f64 1 x))) (.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(/.f64 83333333333333/1000000000000000 x)
91893853320467/100000000000000
91893853320467/100000000000000

Outputs
(/.f64 83333333333333/1000000000000000 x)
(/.f64 83333333333333/1000000000000000 x)
(/.f64 83333333333333/1000000000000000 x)
(/.f64 83333333333333/1000000000000000 x)
(/.f64 83333333333333/1000000000000000 x)
(/.f64 83333333333333/1000000000000000 x)
(/.f64 83333333333333/1000000000000000 x)
(/.f64 83333333333333/1000000000000000 x)
(/.f64 83333333333333/1000000000000000 x)
(/.f64 83333333333333/1000000000000000 x)
(/.f64 83333333333333/1000000000000000 x)
(/.f64 83333333333333/1000000000000000 x)
(/.f64 83333333333333/1000000000000000 x)
(-.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 (/.f64 1 x))))
(+.f64 91893853320467/100000000000000 (*.f64 1/2 (neg.f64 (log.f64 x))))
(+.f64 91893853320467/100000000000000 (*.f64 (log.f64 x) -1/2))
(fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000)
(-.f64 (+.f64 91893853320467/100000000000000 (.f64 83333333333333/1000000000000000 (/.f64 1 x))) (.f64 -1/2 (log.f64 (/.f64 1 x))))
(+.f64 91893853320467/100000000000000 (-.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 -1/2 (neg.f64 (log.f64 x)))))
(+.f64 91893853320467/100000000000000 (+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 (log.f64 x) -1/2)))
(fma.f64 -1/2 (log.f64 x) (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x)))
(-.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 1/2 (log.f64 x) -91893853320467/100000000000000))
(+.f64 91893853320467/100000000000000 (fma.f64 -1/2 (log.f64 x) (/.f64 83333333333333/1000000000000000 x)))
(-.f64 (+.f64 91893853320467/100000000000000 (.f64 83333333333333/1000000000000000 (/.f64 1 x))) (.f64 -1/2 (log.f64 (/.f64 1 x))))
(+.f64 91893853320467/100000000000000 (-.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 -1/2 (neg.f64 (log.f64 x)))))
(+.f64 91893853320467/100000000000000 (+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 (log.f64 x) -1/2)))
(fma.f64 -1/2 (log.f64 x) (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x)))
(-.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 1/2 (log.f64 x) -91893853320467/100000000000000))
(+.f64 91893853320467/100000000000000 (fma.f64 -1/2 (log.f64 x) (/.f64 83333333333333/1000000000000000 x)))
(-.f64 (+.f64 91893853320467/100000000000000 (.f64 83333333333333/1000000000000000 (/.f64 1 x))) (.f64 -1/2 (log.f64 (/.f64 1 x))))
(+.f64 91893853320467/100000000000000 (-.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 -1/2 (neg.f64 (log.f64 x)))))
(+.f64 91893853320467/100000000000000 (+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 (log.f64 x) -1/2)))
(fma.f64 -1/2 (log.f64 x) (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x)))
(-.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 1/2 (log.f64 x) -91893853320467/100000000000000))
(+.f64 91893853320467/100000000000000 (fma.f64 -1/2 (log.f64 x) (/.f64 83333333333333/1000000000000000 x)))
(-.f64 91893853320467/100000000000000 (.f64 1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(+.f64 91893853320467/100000000000000 (*.f64 1/2 (neg.f64 (log.f64 x))))
(+.f64 91893853320467/100000000000000 (*.f64 (log.f64 x) -1/2))
(fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000)
(-.f64 (+.f64 91893853320467/100000000000000 (.f64 83333333333333/1000000000000000 (/.f64 1 x))) (.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(+.f64 91893853320467/100000000000000 (-.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 -1/2 (neg.f64 (log.f64 x)))))
(+.f64 91893853320467/100000000000000 (+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 (log.f64 x) -1/2)))
(fma.f64 -1/2 (log.f64 x) (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x)))
(-.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 1/2 (log.f64 x) -91893853320467/100000000000000))
(+.f64 91893853320467/100000000000000 (fma.f64 -1/2 (log.f64 x) (/.f64 83333333333333/1000000000000000 x)))
(-.f64 (+.f64 91893853320467/100000000000000 (.f64 83333333333333/1000000000000000 (/.f64 1 x))) (.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(+.f64 91893853320467/100000000000000 (-.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 -1/2 (neg.f64 (log.f64 x)))))
(+.f64 91893853320467/100000000000000 (+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 (log.f64 x) -1/2)))
(fma.f64 -1/2 (log.f64 x) (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x)))
(-.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 1/2 (log.f64 x) -91893853320467/100000000000000))
(+.f64 91893853320467/100000000000000 (fma.f64 -1/2 (log.f64 x) (/.f64 83333333333333/1000000000000000 x)))
(-.f64 (+.f64 91893853320467/100000000000000 (.f64 83333333333333/1000000000000000 (/.f64 1 x))) (.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(+.f64 91893853320467/100000000000000 (-.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 -1/2 (neg.f64 (log.f64 x)))))
(+.f64 91893853320467/100000000000000 (+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 (log.f64 x) -1/2)))
(fma.f64 -1/2 (log.f64 x) (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x)))
(-.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 1/2 (log.f64 x) -91893853320467/100000000000000))
(+.f64 91893853320467/100000000000000 (fma.f64 -1/2 (log.f64 x) (/.f64 83333333333333/1000000000000000 x)))
(/.f64 83333333333333/1000000000000000 x)
91893853320467/100000000000000
91893853320467/100000000000000

localize53.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 (-.f64 x 1/2) (log.f64 x))
	0.2b	(+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000)
✓	0.4b	(/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x))
✓	30.3b	(sqrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)))

Compiler

Compiled 67 to 38 computations (43.3% saved)

series4.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x))
1.0ms	x	@	inf	(/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x))
1.0ms	x	@	0	(sqrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)))
0.0ms	x	@	inf	(sqrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)))
0.0ms	x	@	-inf	(sqrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)))

rewrite118.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

579×	`pow1_binary64`
551×	`add-log-exp_binary64`
551×	`log1p-expm1-u_binary64`
551×	`expm1-log1p-u_binary64`
538×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	16
1	131	11
2	1587	11

Stop Event

1×	node limit

Counts

2 → 55

Calls

Call 1

Inputs
(sqrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)))
(/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 83333333333333/1000000000000000 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 83333333333333/1000000000000000 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 83333333333333/1000000000000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)) (cbrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x))) (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 83333333333333/1000000000000000 (sqrt.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 83333333333333/1000000000000000 (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (/.f64 48225308641974537037037037041666666666666654320987654321/1000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 4)))) (sqrt.f64 (cbrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 6944444444444388888888888889/1000000000000000000000000000000 1/2) (pow.f64 (pow.f64 x -2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (/.f64 83333333333333/1000000000000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 48225308641974537037037037041666666666666654320987654321/1000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 4))) 1/2) (pow.f64 (cbrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (sqrt.f64 (*.f64 (*.f64 x x) 1000000000000000000000000000000/6944444444444388888888888889)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x 83333333333333/1000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 83333333333333/1000000000000000 x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 -6944444444444388888888888889/1000000000000000000000000000000) (sqrt.f64 (neg.f64 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -83333333333333/1000000000000000 (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 83333333333333/1000000000000000 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 578703703703696759259259259287037037037037/1000000000000000000000000000000000000000000000 (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 83333333333333/1000000000000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 83333333333333/1000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 578703703703696759259259259287037037037037/1000000000000000000000000000000000000000000000 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 83333333333333/1000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 83333333333333/1000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 83333333333333/1000000000000000 x)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 6944444444444388888888888889/1000000000000000000000000000000 (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 83333333333333/1000000000000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x))) (cbrt.f64 (/.f64 48225308641974537037037037041666666666666654320987654321/1000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x))) (*.f64 (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)) (/.f64 83333333333333/1000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 48225308641974537037037037041666666666666654320987654321/1000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 4))) (cbrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) (*.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) (/.f64 83333333333333/1000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -6944444444444388888888888889/1000000000000000000000000000000 (/.f64 1 (neg.f64 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -2) 6944444444444388888888888889/1000000000000000000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 83333333333333/1000000000000000 x) (sqrt.f64 (/.f64 83333333333333/1000000000000000 x))) (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 83333333333333/1000000000000000 x) (cbrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)))) (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 83333333333333/1000000000000000 x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 48225308641974537037037037041666666666666654320987654321/1000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 4)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) 1000000000000000000000000000000/6944444444444388888888888889) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 48225308641974537037037037041666666666666654320987654321/1000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 6944444444444388888888888889/1000000000000000000000000000000) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x))))))))

simplify188.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1082×	`sqr-pow_binary64`
560×	`cube-prod_binary64`
553×	`fabs-mul_binary64`
523×	`pow-sqr_binary64`
479×	`associate-/l/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	132
1	15	132
2	24	132
3	43	132
4	91	132
5	264	132
6	974	132
7	1823	132
8	1987	132
9	2171	132
10	2379	132
11	2674	132
12	3429	132
13	3909	132
14	4475	132
15	5163	132
16	6000	132
17	6390	132
18	6678	132
19	6956	132
20	7028	132
21	7062	132

Stop Event

1×	node limit

Counts

79 → 58

Calls

Call 1

Inputs
(/.f64 83333333333333/1000000000000000 x)
(/.f64 83333333333333/1000000000000000 x)
(/.f64 83333333333333/1000000000000000 x)
(/.f64 83333333333333/1000000000000000 x)
(/.f64 83333333333333/1000000000000000 x)
(/.f64 83333333333333/1000000000000000 x)
(/.f64 83333333333333/1000000000000000 x)
(/.f64 83333333333333/1000000000000000 x)
(/.f64 -83333333333333/1000000000000000 x)
(/.f64 -83333333333333/1000000000000000 x)
(/.f64 -83333333333333/1000000000000000 x)
(/.f64 -83333333333333/1000000000000000 x)
(/.f64 6944444444444388888888888889/1000000000000000000000000000000 (pow.f64 x 2))
(/.f64 6944444444444388888888888889/1000000000000000000000000000000 (pow.f64 x 2))
(/.f64 6944444444444388888888888889/1000000000000000000000000000000 (pow.f64 x 2))
(/.f64 6944444444444388888888888889/1000000000000000000000000000000 (pow.f64 x 2))
(/.f64 6944444444444388888888888889/1000000000000000000000000000000 (pow.f64 x 2))
(/.f64 6944444444444388888888888889/1000000000000000000000000000000 (pow.f64 x 2))
(/.f64 6944444444444388888888888889/1000000000000000000000000000000 (pow.f64 x 2))
(/.f64 6944444444444388888888888889/1000000000000000000000000000000 (pow.f64 x 2))
(/.f64 6944444444444388888888888889/1000000000000000000000000000000 (pow.f64 x 2))
(/.f64 6944444444444388888888888889/1000000000000000000000000000000 (pow.f64 x 2))
(/.f64 6944444444444388888888888889/1000000000000000000000000000000 (pow.f64 x 2))
(/.f64 6944444444444388888888888889/1000000000000000000000000000000 (pow.f64 x 2))

Outputs
(/.f64 83333333333333/1000000000000000 x)
(/.f64 83333333333333/1000000000000000 x)
(/.f64 83333333333333/1000000000000000 x)
(/.f64 83333333333333/1000000000000000 x)
(/.f64 83333333333333/1000000000000000 x)
(/.f64 83333333333333/1000000000000000 x)
(/.f64 83333333333333/1000000000000000 x)
(/.f64 83333333333333/1000000000000000 x)
(/.f64 -83333333333333/1000000000000000 x)
(/.f64 -83333333333333/1000000000000000 x)
(/.f64 -83333333333333/1000000000000000 x)
(/.f64 -83333333333333/1000000000000000 x)
(/.f64 6944444444444388888888888889/1000000000000000000000000000000 (pow.f64 x 2))
(/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x))
(/.f64 6944444444444388888888888889/1000000000000000000000000000000 (pow.f64 x 2))
(/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x))
(/.f64 6944444444444388888888888889/1000000000000000000000000000000 (pow.f64 x 2))
(/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x))
(/.f64 6944444444444388888888888889/1000000000000000000000000000000 (pow.f64 x 2))
(/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x))
(/.f64 6944444444444388888888888889/1000000000000000000000000000000 (pow.f64 x 2))
(/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x))
(/.f64 6944444444444388888888888889/1000000000000000000000000000000 (pow.f64 x 2))
(/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x))
(/.f64 6944444444444388888888888889/1000000000000000000000000000000 (pow.f64 x 2))
(/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x))
(/.f64 6944444444444388888888888889/1000000000000000000000000000000 (pow.f64 x 2))
(/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x))
(/.f64 6944444444444388888888888889/1000000000000000000000000000000 (pow.f64 x 2))
(/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x))
(/.f64 6944444444444388888888888889/1000000000000000000000000000000 (pow.f64 x 2))
(/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x))
(/.f64 6944444444444388888888888889/1000000000000000000000000000000 (pow.f64 x 2))
(/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x))
(/.f64 6944444444444388888888888889/1000000000000000000000000000000 (pow.f64 x 2))
(/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x))

localize64.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(+.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x)) 3) 91893853320467/100000000000000)
	0.4b	(/.f64 83333333333333/1000000000000000 x)
✓	0.5b	(cbrt.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x))
✓	0.7b	(pow.f64 (cbrt.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x)) 3)

Compiler

Compiled 80 to 52 computations (35% saved)

series19.0ms (0.1%)

Counts

3 → 14

Calls

9 calls:

Time	Variable		Point	Expression
10.0ms	x	@	0	(pow.f64 (cbrt.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x)) 3)
2.0ms	x	@	inf	(pow.f64 (cbrt.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x)) 3)
2.0ms	x	@	0	(+.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x)) 3) 91893853320467/100000000000000)
1.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x)) 3)
1.0ms	x	@	0	(cbrt.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x))

rewrite108.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

807×	`prod-diff_binary64`
530×	`log-prod_binary64`
439×	`fma-def_binary64`
289×	`fma-neg_binary64`
221×	`expm1-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	41
1	278	41
2	3388	40

Stop Event

1×	node limit

Counts

3 → 231

Calls

Call 1

Inputs

(pow.f64 (cbrt.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x)) 3)

(cbrt.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x))

(+.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x)) 3) 91893853320467/100000000000000)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) (+.f64 (neg.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) (fma.f64 -1 x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 x) (*.f64 (+.f64 x -1/2) (log.f64 x)))))) (#(struct:change 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(cbrt.f64 (log.f64 x)) (neg.f64 (-.f64 x 91893853320467/100000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 x -1/2) (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (fma.f64 -1 x 91893853320467/100000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 x -1/2) (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (neg.f64 (-.f64 x 91893853320467/100000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (log.f64 x) (pow.f64 (cbrt.f64 (+.f64 x -1/2)) 2)) (cbrt.f64 (+.f64 x -1/2)) (fma.f64 -1 x 91893853320467/100000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (log.f64 x) (pow.f64 (cbrt.f64 (+.f64 x -1/2)) 2)) (cbrt.f64 (+.f64 x -1/2)) (neg.f64 (-.f64 x 91893853320467/100000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (log.f64 x) (sqrt.f64 (+.f64 x -1/2))) (sqrt.f64 (+.f64 x -1/2)) (fma.f64 -1 x 91893853320467/100000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (log.f64 x) (sqrt.f64 (+.f64 x -1/2))) (sqrt.f64 (+.f64 x -1/2)) (neg.f64 (-.f64 x 91893853320467/100000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x))) 2) 1) (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x))) 91893853320467/100000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x))) 2))) (cbrt.f64 (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)))) 91893853320467/100000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x))) 2) (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 1/6)) (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 1/6) 91893853320467/100000000000000)))))

simplify66.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

832×	`fma-def_binary64`
543×	`*-commutative_binary64`
472×	`distribute-lft-in_binary64`
472×	`distribute-rgt-in_binary64`
450×	`associate-+l+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	152	1955
1	499	1662
2	1867	1640

Stop Event

1×	node limit

Counts

245 → 256

Calls

Call 1

Inputs
(.f64 -1/2 (.f64 (pow.f64 1 1/3) (log.f64 x)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 1 1/3) (log.f64 x))) (.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 (pow.f64 (cbrt.f64 -1/2) 4) 1/3) (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 4)) 1/9) (-.f64 (log.f64 x) 1)))) (.f64 1/3 (.f64 (pow.f64 (pow.f64 (cbrt.f64 -1/2) 4) 1/3) (.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 4)) 1/9) (-.f64 (log.f64 x) 1))))) x))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 1 1/3) (log.f64 x))) (+.f64 (.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 (pow.f64 (cbrt.f64 -1/2) 4) 1/3) (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 4)) 1/9) (-.f64 (log.f64 x) 1)))) (.f64 1/3 (.f64 (pow.f64 (pow.f64 (cbrt.f64 -1/2) 4) 1/3) (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 4)) 1/9) (-.f64 (log.f64 x) 1))))) x) (.f64 (+.f64 (.f64 (pow.f64 (.f64 1 (log.f64 x)) 1/3) (.f64 (cbrt.f64 -1/2) (+.f64 (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 4)) 1/3) (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 4)) 1/9) (pow.f64 (-.f64 (log.f64 x) 1) 2)))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 4)) 1/3) (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 4)) 1/9) (pow.f64 (-.f64 (log.f64 x) 1) 2))))))) (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1/2)) 1/3) (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 x)) 1/9) (pow.f64 (-.f64 (log.f64 x) 1) 2)))) (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1/2)) 1/3) (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 x)) 1/9) (pow.f64 (-.f64 (log.f64 x) 1) 2)))))) (pow.f64 x 2))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 1 1/3) (log.f64 x))) (+.f64 (.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 (pow.f64 (cbrt.f64 -1/2) 4) 1/3) (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 4)) 1/9) (-.f64 (log.f64 x) 1)))) (.f64 1/3 (.f64 (pow.f64 (pow.f64 (cbrt.f64 -1/2) 4) 1/3) (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 4)) 1/9) (-.f64 (log.f64 x) 1))))) x) (+.f64 (.f64 (+.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) (+.f64 (.f64 -2/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (/.f64 (pow.f64 (-.f64 (log.f64 x) 1) 3) (pow.f64 (cbrt.f64 -1/2) 2)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 2)) 1/3)))) (.f64 1/27 (.f64 (/.f64 (pow.f64 (-.f64 (log.f64 x) 1) 3) (pow.f64 (cbrt.f64 -1/2) 2)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 2)) 1/3)))))) (+.f64 (.f64 -2/27 (.f64 (/.f64 (pow.f64 (-.f64 (log.f64 x) 1) 3) (pow.f64 (cbrt.f64 -1/2) 2)) (.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 2)) 1/3)))) (+.f64 (.f64 (pow.f64 (.f64 1 (log.f64 x)) 1/3) (.f64 (cbrt.f64 -1/2) (+.f64 (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (log.f64 x)) 1/3) (/.f64 (+.f64 (.f64 -2/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (/.f64 (pow.f64 (-.f64 (log.f64 x) 1) 3) (pow.f64 (cbrt.f64 -1/2) 2)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 2)) 1/3)))) (.f64 1/27 (.f64 (/.f64 (pow.f64 (-.f64 (log.f64 x) 1) 3) (pow.f64 (cbrt.f64 -1/2) 2)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 2)) 1/3)))) (cbrt.f64 -1/2)))) (.f64 4/27 (.f64 (pow.f64 1 1/9) (/.f64 (pow.f64 (-.f64 (log.f64 x) 1) 3) (log.f64 x))))))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 2)) 1/3) (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 2)) 1/9) (.f64 (+.f64 (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 4)) 1/3) (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 4)) 1/9) (pow.f64 (-.f64 (log.f64 x) 1) 2)))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 4)) 1/3) (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 4)) 1/9) (pow.f64 (-.f64 (log.f64 x) 1) 2))))) (-.f64 (log.f64 x) 1)))))))) (pow.f64 x 3)) (.f64 (+.f64 (.f64 (pow.f64 (.f64 1 (log.f64 x)) 1/3) (.f64 (cbrt.f64 -1/2) (+.f64 (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 4)) 1/3) (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 4)) 1/9) (pow.f64 (-.f64 (log.f64 x) 1) 2)))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 4)) 1/3) (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 4)) 1/9) (pow.f64 (-.f64 (log.f64 x) 1) 2))))))) (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1/2)) 1/3) (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 x)) 1/9) (pow.f64 (-.f64 (log.f64 x) 1) 2)))) (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1/2)) 1/3) (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 x)) 1/9) (pow.f64 (-.f64 (log.f64 x) 1) 2)))))) (pow.f64 x 2)))))
(.f64 (cbrt.f64 -1/2) (pow.f64 (.f64 1 (log.f64 x)) 1/3))
(+.f64 (.f64 (cbrt.f64 -1/2) (pow.f64 (.f64 1 (log.f64 x)) 1/3)) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 2)) 1/3) (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 2)) 1/9) (.f64 (-.f64 (log.f64 x) 1) x)))))
(+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 7)) 1/3) (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 7)) 1/9) (.f64 (pow.f64 (-.f64 (log.f64 x) 1) 2) (pow.f64 x 2))))) (+.f64 (.f64 (cbrt.f64 -1/2) (pow.f64 (.f64 1 (log.f64 x)) 1/3)) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 2)) 1/3) (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 2)) 1/9) (.f64 (-.f64 (log.f64 x) 1) x))))))
(+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 7)) 1/3) (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 7)) 1/9) (.f64 (pow.f64 (-.f64 (log.f64 x) 1) 2) (pow.f64 x 2))))) (+.f64 (.f64 (cbrt.f64 -1/2) (pow.f64 (.f64 1 (log.f64 x)) 1/3)) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 2)) 1/3) (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 2)) 1/9) (.f64 (-.f64 (log.f64 x) 1) x)))) (.f64 -1/3 (.f64 (/.f64 (.f64 (+.f64 (.f64 -2/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (/.f64 (pow.f64 (-.f64 (log.f64 x) 1) 3) (pow.f64 (cbrt.f64 -1/2) 2)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 2)) 1/3)))) (.f64 1/27 (.f64 (/.f64 (pow.f64 (-.f64 (log.f64 x) 1) 3) (pow.f64 (cbrt.f64 -1/2) 2)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 2)) 1/3)))) (pow.f64 x 3)) (pow.f64 (cbrt.f64 -1/2) 2)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 2)) 1/3))))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 1 1/3) (log.f64 x))) 91893853320467/100000000000000)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 1 1/3) (log.f64 x))) (+.f64 (.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 (pow.f64 (cbrt.f64 -1/2) 4) 1/3) (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 4)) 1/9) (-.f64 (log.f64 x) 1)))) (.f64 1/3 (.f64 (pow.f64 (pow.f64 (cbrt.f64 -1/2) 4) 1/3) (.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 4)) 1/9) (-.f64 (log.f64 x) 1))))) x) 91893853320467/100000000000000))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 1 1/3) (log.f64 x))) (+.f64 (.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 (pow.f64 (cbrt.f64 -1/2) 4) 1/3) (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 4)) 1/9) (-.f64 (log.f64 x) 1)))) (.f64 1/3 (.f64 (pow.f64 (pow.f64 (cbrt.f64 -1/2) 4) 1/3) (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 4)) 1/9) (-.f64 (log.f64 x) 1))))) x) (+.f64 91893853320467/100000000000000 (.f64 (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1/2)) 1/3) (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 x)) 1/9) (pow.f64 (-.f64 (log.f64 x) 1) 2)))) (+.f64 (.f64 (.f64 (cbrt.f64 -1/2) (+.f64 (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 4)) 1/3) (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 4)) 1/9) (pow.f64 (-.f64 (log.f64 x) 1) 2)))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 4)) 1/3) (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 4)) 1/9) (pow.f64 (-.f64 (log.f64 x) 1) 2)))))) (pow.f64 (.f64 1 (log.f64 x)) 1/3)) (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1/2)) 1/3) (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 x)) 1/9) (pow.f64 (-.f64 (log.f64 x) 1) 2)))))) (pow.f64 x 2)))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 1 1/3) (log.f64 x))) (+.f64 (.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 (pow.f64 (cbrt.f64 -1/2) 4) 1/3) (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 4)) 1/9) (-.f64 (log.f64 x) 1)))) (.f64 1/3 (.f64 (pow.f64 (pow.f64 (cbrt.f64 -1/2) 4) 1/3) (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 4)) 1/9) (-.f64 (log.f64 x) 1))))) x) (+.f64 91893853320467/100000000000000 (+.f64 (.f64 (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1/2)) 1/3) (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 x)) 1/9) (pow.f64 (-.f64 (log.f64 x) 1) 2)))) (+.f64 (.f64 (.f64 (cbrt.f64 -1/2) (+.f64 (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 4)) 1/3) (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 4)) 1/9) (pow.f64 (-.f64 (log.f64 x) 1) 2)))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 4)) 1/3) (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 4)) 1/9) (pow.f64 (-.f64 (log.f64 x) 1) 2)))))) (pow.f64 (.f64 1 (log.f64 x)) 1/3)) (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1/2)) 1/3) (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 x)) 1/9) (pow.f64 (-.f64 (log.f64 x) 1) 2)))))) (pow.f64 x 2)) (.f64 (+.f64 (.f64 (.f64 (cbrt.f64 -1/2) (+.f64 (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (log.f64 x)) 1/3) (/.f64 (+.f64 (.f64 -2/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (/.f64 (pow.f64 (-.f64 (log.f64 x) 1) 3) (pow.f64 (cbrt.f64 -1/2) 2)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 2)) 1/3)))) (.f64 1/27 (.f64 (/.f64 (pow.f64 (-.f64 (log.f64 x) 1) 3) (pow.f64 (cbrt.f64 -1/2) 2)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 2)) 1/3)))) (cbrt.f64 -1/2)))) (.f64 4/27 (.f64 (pow.f64 1 1/9) (/.f64 (pow.f64 (-.f64 (log.f64 x) 1) 3) (log.f64 x)))))) (pow.f64 (.f64 1 (log.f64 x)) 1/3)) (+.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) (+.f64 (.f64 -2/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (/.f64 (pow.f64 (-.f64 (log.f64 x) 1) 3) (pow.f64 (cbrt.f64 -1/2) 2)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 2)) 1/3)))) (.f64 1/27 (.f64 (/.f64 (pow.f64 (-.f64 (log.f64 x) 1) 3) (pow.f64 (cbrt.f64 -1/2) 2)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 2)) 1/3)))))) (+.f64 (.f64 -2/27 (.f64 (/.f64 (pow.f64 (-.f64 (log.f64 x) 1) 3) (pow.f64 (cbrt.f64 -1/2) 2)) (.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 2)) 1/3)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 2)) 1/3) (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 2)) 1/9) (.f64 (+.f64 (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 4)) 1/3) (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 4)) 1/9) (pow.f64 (-.f64 (log.f64 x) 1) 2)))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 4)) 1/3) (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 4)) 1/9) (pow.f64 (-.f64 (log.f64 x) 1) 2))))) (-.f64 (log.f64 x) 1)))))))) (pow.f64 x 3))))))
91893853320467/100000000000000
91893853320467/100000000000000

Outputs
(.f64 -1/2 (.f64 (pow.f64 1 1/3) (log.f64 x)))
(*.f64 -1/2 (log.f64 x))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 1 1/3) (log.f64 x))) (.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 (pow.f64 (cbrt.f64 -1/2) 4) 1/3) (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 4)) 1/9) (-.f64 (log.f64 x) 1)))) (.f64 1/3 (.f64 (pow.f64 (pow.f64 (cbrt.f64 -1/2) 4) 1/3) (.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 4)) 1/9) (-.f64 (log.f64 x) 1))))) x))
(fma.f64 -1/2 (log.f64 x) (.f64 x (.f64 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1/2) 4)) (.f64 (*.f64 (pow.f64 (pow.f64 (log.f64 x) 4) 1/18) (pow.f64 (pow.f64 (log.f64 x) 4) 1/18)) (+.f64 (log.f64 x) -1))) 1)))
(fma.f64 x (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1/2) 4)) (.f64 (.f64 (pow.f64 (pow.f64 (log.f64 x) 4) 1/18) (pow.f64 (pow.f64 (log.f64 x) 4) 1/18)) (+.f64 (log.f64 x) -1))) (.f64 -1/2 (log.f64 x)))
(fma.f64 x (.f64 (cbrt.f64 (.f64 -1/2 (cbrt.f64 -1/2))) (.f64 (.f64 (pow.f64 (pow.f64 (log.f64 x) 4) 1/18) (pow.f64 (pow.f64 (log.f64 x) 4) 1/18)) (+.f64 (log.f64 x) -1))) (*.f64 -1/2 (log.f64 x)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 1 1/3) (log.f64 x))) (+.f64 (.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 (pow.f64 (cbrt.f64 -1/2) 4) 1/3) (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 4)) 1/9) (-.f64 (log.f64 x) 1)))) (.f64 1/3 (.f64 (pow.f64 (pow.f64 (cbrt.f64 -1/2) 4) 1/3) (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 4)) 1/9) (-.f64 (log.f64 x) 1))))) x) (.f64 (+.f64 (.f64 (pow.f64 (.f64 1 (log.f64 x)) 1/3) (.f64 (cbrt.f64 -1/2) (+.f64 (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 4)) 1/3) (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 4)) 1/9) (pow.f64 (-.f64 (log.f64 x) 1) 2)))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 4)) 1/3) (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 4)) 1/9) (pow.f64 (-.f64 (log.f64 x) 1) 2))))))) (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1/2)) 1/3) (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 x)) 1/9) (pow.f64 (-.f64 (log.f64 x) 1) 2)))) (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1/2)) 1/3) (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 x)) 1/9) (pow.f64 (-.f64 (log.f64 x) 1) 2)))))) (pow.f64 x 2))))
(fma.f64 -1/2 (log.f64 x) (fma.f64 (.f64 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1/2) 4)) (.f64 (.f64 (pow.f64 (pow.f64 (log.f64 x) 4) 1/18) (pow.f64 (pow.f64 (log.f64 x) 4) 1/18)) (+.f64 (log.f64 x) -1))) 1) x (.f64 (fma.f64 (cbrt.f64 (log.f64 x)) (.f64 (cbrt.f64 -1/2) (.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 4))) (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 4)) 1/18)) (pow.f64 (+.f64 (log.f64 x) -1) 2))) -1/9)) (.f64 (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1/2))) (.f64 (pow.f64 (+.f64 (log.f64 x) -1) 2) (.f64 (pow.f64 (/.f64 1 (log.f64 x)) 1/18) (pow.f64 (/.f64 1 (log.f64 x)) 1/18)))) 1/9)) (*.f64 x x))))
(fma.f64 -1/2 (log.f64 x) (fma.f64 x (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1/2) 4)) (.f64 (.f64 (pow.f64 (pow.f64 (log.f64 x) 4) 1/18) (pow.f64 (pow.f64 (log.f64 x) 4) 1/18)) (+.f64 (log.f64 x) -1))) (.f64 (.f64 x x) (fma.f64 (.f64 (cbrt.f64 -1/2) (cbrt.f64 (log.f64 x))) (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 4)) 1/18) (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 4)) 1/18) (pow.f64 (+.f64 (log.f64 x) -1) 2))) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 4))) -1/9)) (.f64 (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1/2))) (.f64 (pow.f64 (/.f64 1 (log.f64 x)) 1/18) (pow.f64 (/.f64 1 (log.f64 x)) 1/18))) (.f64 (pow.f64 (+.f64 (log.f64 x) -1) 2) 1/9))))))
(fma.f64 -1/2 (log.f64 x) (.f64 x (+.f64 (.f64 (cbrt.f64 (.f64 -1/2 (cbrt.f64 -1/2))) (.f64 (.f64 (pow.f64 (pow.f64 (log.f64 x) 4) 1/18) (pow.f64 (pow.f64 (log.f64 x) 4) 1/18)) (+.f64 (log.f64 x) -1))) (.f64 x (fma.f64 (cbrt.f64 -1/2) (.f64 (cbrt.f64 (log.f64 x)) (.f64 (.f64 (cbrt.f64 (/.f64 -2 (cbrt.f64 -1/2))) (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 4)) 1/18))) (.f64 (pow.f64 (+.f64 (log.f64 x) -1) 2) -1/9))) (.f64 1/9 (.f64 (pow.f64 (+.f64 (log.f64 x) -1) 2) (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1/2))) (*.f64 (pow.f64 (/.f64 1 (log.f64 x)) 1/18) (pow.f64 (/.f64 1 (log.f64 x)) 1/18))))))))))
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(fma.f64 -1/9 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 7))) (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 7)) 1/18)) (.f64 (pow.f64 (+.f64 (log.f64 x) -1) 2) (.f64 x x)))) (fma.f64 (cbrt.f64 -1/2) (cbrt.f64 (log.f64 x)) (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 2))) (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 2)) 1/18)) (.f64 x (+.f64 (log.f64 x) -1)))) (.f64 -1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 x) 2))) (/.f64 (+.f64 (.f64 -2/9 (.f64 (/.f64 (pow.f64 (+.f64 (log.f64 x) -1) 3) (pow.f64 (cbrt.f64 -1/2) 2)) (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 x) 2))))) (.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (log.f64 x) -1) 3) (pow.f64 (cbrt.f64 -1/2) 2)) (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 x) 2)))) 1/27)) (/.f64 (pow.f64 (cbrt.f64 -1/2) 2) (pow.f64 x 3))))))))
(fma.f64 -1/9 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 7))) (.f64 (pow.f64 (+.f64 (log.f64 x) -1) 2) (.f64 (.f64 x x) (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 7)) 1/18))))) (fma.f64 (cbrt.f64 -1/2) (cbrt.f64 (log.f64 x)) (fma.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 2)) 1/18)) (.f64 (.f64 x (+.f64 (log.f64 x) -1)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 2))))) (.f64 (/.f64 (.f64 (.f64 (/.f64 (pow.f64 (+.f64 (log.f64 x) -1) 3) (pow.f64 (cbrt.f64 -1/2) 2)) (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 x) 2)))) -5/27) (/.f64 (pow.f64 (cbrt.f64 -1/2) 2) (pow.f64 x 3))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 x) 2))) -1/3)))))
(fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 7))) (.f64 -1/9 (.f64 (pow.f64 (+.f64 (log.f64 x) -1) 2) (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 7)) 1/18) x) (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 7)) 1/18) x)))) (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 2))) (.f64 x (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 2)) 1/18) (.f64 (+.f64 (log.f64 x) -1) (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 2)) 1/18))))) (fma.f64 (cbrt.f64 -1/2) (cbrt.f64 (log.f64 x)) (.f64 (.f64 (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 -1/2) 2)) (.f64 (.f64 (/.f64 (pow.f64 (+.f64 (log.f64 x) -1) 3) (pow.f64 (cbrt.f64 -1/2) 2)) (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 x) 2)))) -5/27)) (.f64 -1/3 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 x) 2))))))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 1 1/3) (log.f64 x))) 91893853320467/100000000000000)
(fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 1 1/3) (log.f64 x))) (+.f64 (.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 (pow.f64 (cbrt.f64 -1/2) 4) 1/3) (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 4)) 1/9) (-.f64 (log.f64 x) 1)))) (.f64 1/3 (.f64 (pow.f64 (pow.f64 (cbrt.f64 -1/2) 4) 1/3) (.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 4)) 1/9) (-.f64 (log.f64 x) 1))))) x) 91893853320467/100000000000000))
(fma.f64 -1/2 (log.f64 x) (fma.f64 (.f64 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1/2) 4)) (.f64 (.f64 (pow.f64 (pow.f64 (log.f64 x) 4) 1/18) (pow.f64 (pow.f64 (log.f64 x) 4) 1/18)) (+.f64 (log.f64 x) -1))) 1) x 91893853320467/100000000000000))
(fma.f64 -1/2 (log.f64 x) (fma.f64 x (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1/2) 4)) (.f64 (*.f64 (pow.f64 (pow.f64 (log.f64 x) 4) 1/18) (pow.f64 (pow.f64 (log.f64 x) 4) 1/18)) (+.f64 (log.f64 x) -1))) 91893853320467/100000000000000))
(fma.f64 x (.f64 (cbrt.f64 (.f64 -1/2 (cbrt.f64 -1/2))) (.f64 (.f64 (pow.f64 (pow.f64 (log.f64 x) 4) 1/18) (pow.f64 (pow.f64 (log.f64 x) 4) 1/18)) (+.f64 (log.f64 x) -1))) (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 1 1/3) (log.f64 x))) (+.f64 (.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 (pow.f64 (cbrt.f64 -1/2) 4) 1/3) (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 4)) 1/9) (-.f64 (log.f64 x) 1)))) (.f64 1/3 (.f64 (pow.f64 (pow.f64 (cbrt.f64 -1/2) 4) 1/3) (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 4)) 1/9) (-.f64 (log.f64 x) 1))))) x) (+.f64 91893853320467/100000000000000 (.f64 (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1/2)) 1/3) (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 x)) 1/9) (pow.f64 (-.f64 (log.f64 x) 1) 2)))) (+.f64 (.f64 (.f64 (cbrt.f64 -1/2) (+.f64 (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 4)) 1/3) (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 4)) 1/9) (pow.f64 (-.f64 (log.f64 x) 1) 2)))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 4)) 1/3) (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 4)) 1/9) (pow.f64 (-.f64 (log.f64 x) 1) 2)))))) (pow.f64 (.f64 1 (log.f64 x)) 1/3)) (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1/2)) 1/3) (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 x)) 1/9) (pow.f64 (-.f64 (log.f64 x) 1) 2)))))) (pow.f64 x 2)))))
(fma.f64 -1/2 (log.f64 x) (+.f64 (fma.f64 (.f64 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1/2) 4)) (.f64 (.f64 (pow.f64 (pow.f64 (log.f64 x) 4) 1/18) (pow.f64 (pow.f64 (log.f64 x) 4) 1/18)) (+.f64 (log.f64 x) -1))) 1) x 91893853320467/100000000000000) (.f64 (.f64 x x) (fma.f64 2/9 (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1/2))) (.f64 (pow.f64 (+.f64 (log.f64 x) -1) 2) (.f64 (pow.f64 (/.f64 1 (log.f64 x)) 1/18) (pow.f64 (/.f64 1 (log.f64 x)) 1/18)))) (fma.f64 (.f64 (cbrt.f64 -1/2) (.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 4))) (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 4)) 1/18)) (pow.f64 (+.f64 (log.f64 x) -1) 2))) -1/9)) (cbrt.f64 (log.f64 x)) (.f64 (.f64 -1/9 (cbrt.f64 (/.f64 1 (cbrt.f64 -1/2)))) (.f64 (pow.f64 (+.f64 (log.f64 x) -1) 2) (.f64 (pow.f64 (/.f64 1 (log.f64 x)) 1/18) (pow.f64 (/.f64 1 (log.f64 x)) 1/18)))))))))
(fma.f64 -1/2 (log.f64 x) (fma.f64 x (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1/2) 4)) (.f64 (.f64 (pow.f64 (pow.f64 (log.f64 x) 4) 1/18) (pow.f64 (pow.f64 (log.f64 x) 4) 1/18)) (+.f64 (log.f64 x) -1))) (fma.f64 (.f64 x x) (fma.f64 (.f64 (cbrt.f64 -1/2) (cbrt.f64 (log.f64 x))) (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 4)) 1/18) (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 4)) 1/18) (pow.f64 (+.f64 (log.f64 x) -1) 2))) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 4))) -1/9)) (.f64 (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1/2))) (.f64 (pow.f64 (/.f64 1 (log.f64 x)) 1/18) (pow.f64 (/.f64 1 (log.f64 x)) 1/18))) (*.f64 (pow.f64 (+.f64 (log.f64 x) -1) 2) 1/9))) 91893853320467/100000000000000)))
(fma.f64 -1/2 (log.f64 x) (fma.f64 x (.f64 (cbrt.f64 (.f64 -1/2 (cbrt.f64 -1/2))) (.f64 (.f64 (pow.f64 (pow.f64 (log.f64 x) 4) 1/18) (pow.f64 (pow.f64 (log.f64 x) 4) 1/18)) (+.f64 (log.f64 x) -1))) (fma.f64 x (.f64 x (fma.f64 (cbrt.f64 -1/2) (.f64 (cbrt.f64 (log.f64 x)) (.f64 (.f64 (cbrt.f64 (/.f64 -2 (cbrt.f64 -1/2))) (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 4)) 1/18))) (.f64 (pow.f64 (+.f64 (log.f64 x) -1) 2) -1/9))) (.f64 1/9 (.f64 (pow.f64 (+.f64 (log.f64 x) -1) 2) (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1/2))) (.f64 (pow.f64 (/.f64 1 (log.f64 x)) 1/18) (pow.f64 (/.f64 1 (log.f64 x)) 1/18))))))) 91893853320467/100000000000000)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 1 1/3) (log.f64 x))) (+.f64 (.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 (pow.f64 (cbrt.f64 -1/2) 4) 1/3) (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 4)) 1/9) (-.f64 (log.f64 x) 1)))) (.f64 1/3 (.f64 (pow.f64 (pow.f64 (cbrt.f64 -1/2) 4) 1/3) (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 4)) 1/9) (-.f64 (log.f64 x) 1))))) x) (+.f64 91893853320467/100000000000000 (+.f64 (.f64 (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1/2)) 1/3) (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 x)) 1/9) (pow.f64 (-.f64 (log.f64 x) 1) 2)))) (+.f64 (.f64 (.f64 (cbrt.f64 -1/2) (+.f64 (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 4)) 1/3) (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 4)) 1/9) (pow.f64 (-.f64 (log.f64 x) 1) 2)))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 4)) 1/3) (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 4)) 1/9) (pow.f64 (-.f64 (log.f64 x) 1) 2)))))) (pow.f64 (.f64 1 (log.f64 x)) 1/3)) (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1/2)) 1/3) (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 x)) 1/9) (pow.f64 (-.f64 (log.f64 x) 1) 2)))))) (pow.f64 x 2)) (.f64 (+.f64 (.f64 (.f64 (cbrt.f64 -1/2) (+.f64 (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (log.f64 x)) 1/3) (/.f64 (+.f64 (.f64 -2/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (/.f64 (pow.f64 (-.f64 (log.f64 x) 1) 3) (pow.f64 (cbrt.f64 -1/2) 2)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 2)) 1/3)))) (.f64 1/27 (.f64 (/.f64 (pow.f64 (-.f64 (log.f64 x) 1) 3) (pow.f64 (cbrt.f64 -1/2) 2)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 2)) 1/3)))) (cbrt.f64 -1/2)))) (.f64 4/27 (.f64 (pow.f64 1 1/9) (/.f64 (pow.f64 (-.f64 (log.f64 x) 1) 3) (log.f64 x)))))) (pow.f64 (.f64 1 (log.f64 x)) 1/3)) (+.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) (+.f64 (.f64 -2/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (/.f64 (pow.f64 (-.f64 (log.f64 x) 1) 3) (pow.f64 (cbrt.f64 -1/2) 2)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 2)) 1/3)))) (.f64 1/27 (.f64 (/.f64 (pow.f64 (-.f64 (log.f64 x) 1) 3) (pow.f64 (cbrt.f64 -1/2) 2)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 2)) 1/3)))))) (+.f64 (.f64 -2/27 (.f64 (/.f64 (pow.f64 (-.f64 (log.f64 x) 1) 3) (pow.f64 (cbrt.f64 -1/2) 2)) (.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 2)) 1/3)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 2)) 1/3) (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 2)) 1/9) (.f64 (+.f64 (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 4)) 1/3) (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 4)) 1/9) (pow.f64 (-.f64 (log.f64 x) 1) 2)))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 4)) 1/3) (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 4)) 1/9) (pow.f64 (-.f64 (log.f64 x) 1) 2))))) (-.f64 (log.f64 x) 1)))))))) (pow.f64 x 3))))))
(fma.f64 -1/2 (log.f64 x) (+.f64 (fma.f64 (.f64 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1/2) 4)) (.f64 (.f64 (pow.f64 (pow.f64 (log.f64 x) 4) 1/18) (pow.f64 (pow.f64 (log.f64 x) 4) 1/18)) (+.f64 (log.f64 x) -1))) 1) x 91893853320467/100000000000000) (fma.f64 (fma.f64 2/9 (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1/2))) (.f64 (pow.f64 (+.f64 (log.f64 x) -1) 2) (.f64 (pow.f64 (/.f64 1 (log.f64 x)) 1/18) (pow.f64 (/.f64 1 (log.f64 x)) 1/18)))) (fma.f64 (.f64 (cbrt.f64 -1/2) (.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 4))) (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 4)) 1/18)) (pow.f64 (+.f64 (log.f64 x) -1) 2))) -1/9)) (cbrt.f64 (log.f64 x)) (.f64 (.f64 -1/9 (cbrt.f64 (/.f64 1 (cbrt.f64 -1/2)))) (.f64 (pow.f64 (+.f64 (log.f64 x) -1) 2) (.f64 (pow.f64 (/.f64 1 (log.f64 x)) 1/18) (pow.f64 (/.f64 1 (log.f64 x)) 1/18)))))) (.f64 x x) (.f64 (pow.f64 x 3) (fma.f64 (.f64 (cbrt.f64 -1/2) (fma.f64 -2/3 (.f64 (cbrt.f64 (/.f64 1 (log.f64 x))) (/.f64 (+.f64 (.f64 -2/9 (.f64 (/.f64 (pow.f64 (+.f64 (log.f64 x) -1) 3) (pow.f64 (cbrt.f64 -1/2) 2)) (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 x) 2))))) (.f64 (.f64 (/.f64 (pow.f64 (+.f64 (log.f64 x) -1) 3) (pow.f64 (cbrt.f64 -1/2) 2)) (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 x) 2)))) 1/27)) (cbrt.f64 -1/2))) (.f64 4/27 (/.f64 (pow.f64 (+.f64 (log.f64 x) -1) 3) (log.f64 x))))) (cbrt.f64 (log.f64 x)) (+.f64 (.f64 -1/3 (+.f64 (.f64 -2/9 (.f64 (/.f64 (pow.f64 (+.f64 (log.f64 x) -1) 3) (pow.f64 (cbrt.f64 -1/2) 2)) (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 x) 2))))) (.f64 (.f64 (/.f64 (pow.f64 (+.f64 (log.f64 x) -1) 3) (pow.f64 (cbrt.f64 -1/2) 2)) (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 x) 2)))) 1/27))) (fma.f64 -2/27 (.f64 (/.f64 (pow.f64 (+.f64 (log.f64 x) -1) 3) (pow.f64 (cbrt.f64 -1/2) 2)) (.f64 1 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 x) 2))))) (.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 2))) (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 2)) 1/18)) (.f64 (+.f64 (log.f64 x) -1) (.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 4))) (.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 4)) 1/18)) (pow.f64 (+.f64 (log.f64 x) -1) 2))) -1/9))))))))))))
(+.f64 (fma.f64 -1/2 (log.f64 x) (fma.f64 x (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1/2) 4)) (.f64 (.f64 (pow.f64 (pow.f64 (log.f64 x) 4) 1/18) (pow.f64 (pow.f64 (log.f64 x) 4) 1/18)) (+.f64 (log.f64 x) -1))) 91893853320467/100000000000000)) (fma.f64 (pow.f64 x 3) (fma.f64 (cbrt.f64 -1/2) (.f64 (cbrt.f64 (log.f64 x)) (fma.f64 (.f64 -2/3 (cbrt.f64 (/.f64 1 (log.f64 x)))) (/.f64 (.f64 (.f64 (/.f64 (pow.f64 (+.f64 (log.f64 x) -1) 3) (pow.f64 (cbrt.f64 -1/2) 2)) (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 x) 2)))) -5/27) (cbrt.f64 -1/2)) (.f64 4/27 (/.f64 (pow.f64 (+.f64 (log.f64 x) -1) 3) (log.f64 x))))) (fma.f64 -1/3 (.f64 (.f64 (/.f64 (pow.f64 (+.f64 (log.f64 x) -1) 3) (pow.f64 (cbrt.f64 -1/2) 2)) (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 x) 2)))) -5/27) (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 2))) (.f64 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 4)) 1/18) (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 4)) 1/18) (pow.f64 (+.f64 (log.f64 x) -1) 2))) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 4))) -1/9)) (.f64 (+.f64 (log.f64 x) -1) (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 2)) 1/18))))) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 x) 2))) (.f64 (/.f64 (pow.f64 (+.f64 (log.f64 x) -1) 3) (pow.f64 (cbrt.f64 -1/2) 2)) -2/27))))) (.f64 (.f64 x x) (fma.f64 (.f64 (cbrt.f64 -1/2) (cbrt.f64 (log.f64 x))) (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 4)) 1/18) (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 4)) 1/18) (pow.f64 (+.f64 (log.f64 x) -1) 2))) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 4))) -1/9)) (.f64 (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1/2))) (.f64 (pow.f64 (/.f64 1 (log.f64 x)) 1/18) (pow.f64 (/.f64 1 (log.f64 x)) 1/18))) (*.f64 (pow.f64 (+.f64 (log.f64 x) -1) 2) 1/9))))))
(fma.f64 x (.f64 (cbrt.f64 (.f64 -1/2 (cbrt.f64 -1/2))) (.f64 (.f64 (pow.f64 (pow.f64 (log.f64 x) 4) 1/18) (pow.f64 (pow.f64 (log.f64 x) 4) 1/18)) (+.f64 (log.f64 x) -1))) (fma.f64 -1/2 (log.f64 x) (fma.f64 x (.f64 x (fma.f64 (cbrt.f64 -1/2) (.f64 (cbrt.f64 (log.f64 x)) (.f64 (.f64 (cbrt.f64 (/.f64 -2 (cbrt.f64 -1/2))) (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 4)) 1/18))) (.f64 (pow.f64 (+.f64 (log.f64 x) -1) 2) -1/9))) (.f64 1/9 (.f64 (pow.f64 (+.f64 (log.f64 x) -1) 2) (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1/2))) (.f64 (pow.f64 (/.f64 1 (log.f64 x)) 1/18) (pow.f64 (/.f64 1 (log.f64 x)) 1/18))))))) (fma.f64 (pow.f64 x 3) (fma.f64 (cbrt.f64 -1/2) (.f64 (cbrt.f64 (log.f64 x)) (fma.f64 -2/3 (.f64 (/.f64 (cbrt.f64 (/.f64 1 (log.f64 x))) (cbrt.f64 -1/2)) (.f64 (.f64 (/.f64 (pow.f64 (+.f64 (log.f64 x) -1) 3) (pow.f64 (cbrt.f64 -1/2) 2)) (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 x) 2)))) -5/27)) (.f64 (pow.f64 (+.f64 (log.f64 x) -1) 3) (/.f64 4/27 (log.f64 x))))) (fma.f64 (.f64 (.f64 (.f64 (cbrt.f64 (/.f64 -2 (cbrt.f64 -1/2))) (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 4)) 1/18))) (.f64 (pow.f64 (+.f64 (log.f64 x) -1) 2) -1/9)) (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 2)) 1/18) (.f64 (+.f64 (log.f64 x) -1) (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 2)) 1/18)))) (.f64 1/3 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 2)))) (fma.f64 -1/3 (.f64 (.f64 (/.f64 (pow.f64 (+.f64 (log.f64 x) -1) 3) (pow.f64 (cbrt.f64 -1/2) 2)) (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 x) 2)))) -5/27) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 x) 2))) (*.f64 (/.f64 (pow.f64 (+.f64 (log.f64 x) -1) 3) (pow.f64 (cbrt.f64 -1/2) 2)) -2/27))))) 91893853320467/100000000000000))))
91893853320467/100000000000000
91893853320467/100000000000000

eval490.0ms (2.7%)

Compiler: Compiled 22291 to 15031 computations (32.6% saved)

prune502.0ms (2.8%)

Pruning

35 alts after pruning (33 fresh and 2 done)

	Pruned	Kept	Total
New	857	16	873
Fresh	8	17	25
Picked	0	1	1
Done	3	1	4
Total	868	35	903

Error

Counts

903 → 35

Alt Table

Click to see full alt table

Status	Error	Program
	41.7b	(+.f64 91893853320467/100000000000000 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)))
	5.3b	(+.f64 (+.f64 (-.f64 (.f64 (pow.f64 (cbrt.f64 (+.f64 x -1/2)) 2) (.f64 (cbrt.f64 (+.f64 x -1/2)) (log.f64 x))) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
▶	42.2b	(/.f64 83333333333333/1000000000000000 x)
	42.8b	(+.f64 (+.f64 (-.f64 (*.f64 -1/2 (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
	9.9b	(+.f64 (+.f64 (-.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) 3) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
▶	1.7b	(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000) (/.f64 x z))))
▶	9.5b	(+.f64 (+.f64 (-.f64 (pow.f64 (sqrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) 2) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
	51.8b	(/.f64 1 (/.f64 (-.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x)) (-.f64 8444480278083503881401098089/10000000000000000000000000000 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)))))
	42.7b	(-.f64 (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x)) (*.f64 1/2 (log.f64 x)))
▶	41.7b	(+.f64 91893853320467/100000000000000 (pow.f64 (*.f64 x 1000000000000000/83333333333333) -1))
	51.8b	(.f64 (-.f64 8444480278083503881401098089/10000000000000000000000000000 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (.f64 x x))) (/.f64 1 (-.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))))
	26.5b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 y (/.f64 (*.f64 z z) x)))
	42.7b	(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
	5.1b	(+.f64 (+.f64 (-.f64 (.f64 (.f64 (sqrt.f64 (.f64 (+.f64 x -1/2) (log.f64 x))) (cbrt.f64 (.f64 (+.f64 x -1/2) (log.f64 x)))) (cbrt.f64 (sqrt.f64 (.f64 (+.f64 x -1/2) (log.f64 x))))) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
	29.4b	(+.f64 91893853320467/100000000000000 (.f64 -1 (.f64 (+.f64 1 (log.f64 (/.f64 1 x))) x)))
	9.5b	(+.f64 (fma.f64 (sqrt.f64 (.f64 (+.f64 x -1/2) (log.f64 x))) (sqrt.f64 (.f64 (+.f64 x -1/2) (log.f64 x))) (neg.f64 (-.f64 x 91893853320467/100000000000000))) (/.f64 83333333333333/1000000000000000 x))
▶	20.8b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 z (*.f64 z (/.f64 (+.f64 7936500793651/10000000000000000 y) x))))
✓	9.9b	(+.f64 (+.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x)) 3) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
	4.8b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 83333333333333/1000000000000000 x) (.f64 (/.f64 1 x) (/.f64 (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000) (/.f64 1 z)))))
	35.8b	(+.f64 (neg.f64 x) (/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
	9.5b	(+.f64 (+.f64 (pow.f64 (sqrt.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x)) 2) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
	41.8b	(pow.f64 (sqrt.f64 (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))) 2)
	32.3b	(+.f64 (+.f64 (-.f64 (.f64 (.f64 (+.f64 x -1/2) (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x))) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
	29.1b	(+.f64 (-.f64 91893853320467/100000000000000 x) (*.f64 (log.f64 x) (+.f64 -1/2 x)))
	42.0b	(pow.f64 (cbrt.f64 (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))) 3)
	6.8b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x)))
	9.4b	(-.f64 (-.f64 (+.f64 (/.f64 83333333333333/1000000000000000 x) 91893853320467/100000000000000) (*.f64 (log.f64 x) (-.f64 1/2 x))) x)
✓	41.7b	(+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))
	62.2b	(-.f64 91893853320467/100000000000000 (*.f64 1/2 (log.f64 x)))
	30.4b	(+.f64 (/.f64 1 (/.f64 (-.f64 (.f64 (+.f64 x -1/2) (log.f64 x)) (+.f64 x 91893853320467/100000000000000)) (+.f64 (pow.f64 (-.f64 (.f64 (+.f64 x -1/2) (log.f64 x)) x) 2) -8444480278083503881401098089/10000000000000000000000000000))) (/.f64 83333333333333/1000000000000000 x))
	51.8b	(/.f64 (-.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)) 8444480278083503881401098089/10000000000000000000000000000) (-.f64 (/.f64 83333333333333/1000000000000000 x) 91893853320467/100000000000000))
	41.7b	(-.f64 (+.f64 1 (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))) 1)
	30.1b	(+.f64 (+.f64 (-.f64 (/.f64 (*.f64 (fma.f64 x x -1/4) (log.f64 x)) (+.f64 x 1/2)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
	1.7b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 83333333333333/1000000000000000 x) (.f64 (/.f64 z x) (*.f64 z (+.f64 y 7936500793651/10000000000000000)))))
	61.0b	91893853320467/100000000000000

Compiler

Compiled 1296 to 999 computations (22.9% saved)

localize32.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(-.f64 (*.f64 x (log.f64 x)) x)
✓	0.3b	(*.f64 x (log.f64 x))
	0.4b	(/.f64 83333333333333/1000000000000000 x)
	2.5b	(/.f64 (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000) (/.f64 x z))

Compiler

Compiled 81 to 40 computations (50.6% saved)

series55.0ms (0.3%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
31.0ms	x	@	0	(*.f64 x (log.f64 x))
14.0ms	x	@	-inf	(*.f64 x (log.f64 x))
9.0ms	x	@	inf	(*.f64 x (log.f64 x))
0.0ms	x	@	0	(-.f64 (*.f64 x (log.f64 x)) x)
0.0ms	x	@	inf	(-.f64 (*.f64 x (log.f64 x)) x)

rewrite62.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

609×	`pow1_binary64`
567×	`add-log-exp_binary64`
567×	`log1p-expm1-u_binary64`
567×	`expm1-log1p-u_binary64`
555×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	15
1	109	15
2	1538	15

Stop Event

1×	node limit

Counts

2 → 49

Calls

Call 1

Inputs
(*.f64 x (log.f64 x))
(-.f64 (*.f64 x (log.f64 x)) x)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (log.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (log.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 x x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (log.f64 x))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (log.f64 x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (log.f64 x)) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 x (log.f64 x)) x) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 x (log.f64 x)) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 x (log.f64 x)) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 x) (*.f64 x (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (-.f64 (log.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x (log.f64 x)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (*.f64 x (log.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (*.f64 x (log.f64 x)) x)) (pow.f64 (cbrt.f64 (-.f64 (*.f64 x (log.f64 x)) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x (log.f64 x)) x)) 2) (cbrt.f64 (-.f64 (*.f64 x (log.f64 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (*.f64 x (log.f64 x)) x)) (sqrt.f64 (-.f64 (*.f64 x (log.f64 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) (*.f64 x (fma.f64 x (log.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) (*.f64 x x)) (/.f64 1 (fma.f64 x (log.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (*.f64 x (log.f64 x))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (*.f64 x (log.f64 x))) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) (*.f64 x (fma.f64 x (log.f64 x) x))) (-.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x (log.f64 x) x) (-.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) (*.f64 x (fma.f64 x (log.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) (*.f64 x x)) (fma.f64 x (log.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) (*.f64 x (fma.f64 x (log.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) (*.f64 x x))) (neg.f64 (fma.f64 x (log.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) (pow.f64 (neg.f64 x) 3)) (+.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (*.f64 x (log.f64 x)) (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (*.f64 x (log.f64 x)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (*.f64 x (log.f64 x)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (*.f64 x (log.f64 x)) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (*.f64 x (log.f64 x)) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (*.f64 x (log.f64 x)) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (*.f64 x (log.f64 x)) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (pow.f64 x x) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (*.f64 x (log.f64 x)) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (*.f64 x (log.f64 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (*.f64 x (log.f64 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (*.f64 x (log.f64 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (log.f64 x) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (log.f64 x) x (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x (log.f64 x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) (cbrt.f64 (*.f64 x (log.f64 x))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x (log.f64 x))) (sqrt.f64 (*.f64 x (log.f64 x))) (neg.f64 x))))))

simplify224.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1068×	`fma-neg_binary64`
519×	`distribute-rgt-out--_binary64`
473×	`fma-def_binary64`
443×	`unsub-neg_binary64`
327×	`distribute-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	180
1	69	180
2	173	180
3	592	180
4	1248	180
5	2492	180
6	3586	180
7	3806	180
8	3927	180
9	3954	180
10	3956	180
11	5515	180
12	6413	180
13	6635	180
14	6769	180
15	6861	180
16	6863	180
17	6863	180
18	6983	180
19	7163	180
20	7833	180

Stop Event

1×	node limit

Counts

73 → 57

Calls

Call 1

Inputs
(*.f64 (log.f64 x) x)
(*.f64 (log.f64 x) x)
(*.f64 (log.f64 x) x)
(*.f64 (log.f64 x) x)
(.f64 -1 (.f64 (log.f64 (/.f64 1 x)) x))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x)) x))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x)) x))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x)) x))
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)
(*.f64 (-.f64 (log.f64 x) 1) x)
(*.f64 (-.f64 (log.f64 x) 1) x)
(*.f64 (-.f64 (log.f64 x) 1) x)
(*.f64 (-.f64 (log.f64 x) 1) x)
(.f64 (-.f64 (.f64 -1 (log.f64 (/.f64 1 x))) 1) x)
(.f64 (-.f64 (.f64 -1 (log.f64 (/.f64 1 x))) 1) x)
(.f64 (-.f64 (.f64 -1 (log.f64 (/.f64 1 x))) 1) x)
(.f64 (-.f64 (.f64 -1 (log.f64 (/.f64 1 x))) 1) x)
(.f64 -1 (.f64 x (+.f64 1 (.f64 -1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))
(.f64 -1 (.f64 x (+.f64 1 (.f64 -1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))
(.f64 -1 (.f64 x (+.f64 1 (.f64 -1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))
(.f64 -1 (.f64 x (+.f64 1 (.f64 -1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))

Outputs
(*.f64 (log.f64 x) x)
(*.f64 x (log.f64 x))
(*.f64 (log.f64 x) x)
(*.f64 x (log.f64 x))
(*.f64 (log.f64 x) x)
(*.f64 x (log.f64 x))
(*.f64 (log.f64 x) x)
(*.f64 x (log.f64 x))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x)) x))
(*.f64 x (log.f64 x))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x)) x))
(*.f64 x (log.f64 x))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x)) x))
(*.f64 x (log.f64 x))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x)) x))
(*.f64 x (log.f64 x))
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)
(*.f64 x (log.f64 x))
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)
(*.f64 x (log.f64 x))
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)
(*.f64 x (log.f64 x))
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)
(*.f64 x (log.f64 x))
(*.f64 (-.f64 (log.f64 x) 1) x)
(*.f64 x (+.f64 (log.f64 x) -1))
(-.f64 (*.f64 x (log.f64 x)) x)
(fma.f64 x (log.f64 x) (neg.f64 x))
(*.f64 x (+.f64 -1 (log.f64 x)))
(*.f64 (-.f64 (log.f64 x) 1) x)
(*.f64 x (+.f64 (log.f64 x) -1))
(-.f64 (*.f64 x (log.f64 x)) x)
(fma.f64 x (log.f64 x) (neg.f64 x))
(*.f64 x (+.f64 -1 (log.f64 x)))
(*.f64 (-.f64 (log.f64 x) 1) x)
(*.f64 x (+.f64 (log.f64 x) -1))
(-.f64 (*.f64 x (log.f64 x)) x)
(fma.f64 x (log.f64 x) (neg.f64 x))
(*.f64 x (+.f64 -1 (log.f64 x)))
(*.f64 (-.f64 (log.f64 x) 1) x)
(*.f64 x (+.f64 (log.f64 x) -1))
(-.f64 (*.f64 x (log.f64 x)) x)
(fma.f64 x (log.f64 x) (neg.f64 x))
(*.f64 x (+.f64 -1 (log.f64 x)))
(.f64 (-.f64 (.f64 -1 (log.f64 (/.f64 1 x))) 1) x)
(*.f64 x (+.f64 (log.f64 x) -1))
(-.f64 (*.f64 x (log.f64 x)) x)
(fma.f64 x (log.f64 x) (neg.f64 x))
(*.f64 x (+.f64 -1 (log.f64 x)))
(.f64 (-.f64 (.f64 -1 (log.f64 (/.f64 1 x))) 1) x)
(*.f64 x (+.f64 (log.f64 x) -1))
(-.f64 (*.f64 x (log.f64 x)) x)
(fma.f64 x (log.f64 x) (neg.f64 x))
(*.f64 x (+.f64 -1 (log.f64 x)))
(.f64 (-.f64 (.f64 -1 (log.f64 (/.f64 1 x))) 1) x)
(*.f64 x (+.f64 (log.f64 x) -1))
(-.f64 (*.f64 x (log.f64 x)) x)
(fma.f64 x (log.f64 x) (neg.f64 x))
(*.f64 x (+.f64 -1 (log.f64 x)))
(.f64 (-.f64 (.f64 -1 (log.f64 (/.f64 1 x))) 1) x)
(*.f64 x (+.f64 (log.f64 x) -1))
(-.f64 (*.f64 x (log.f64 x)) x)
(fma.f64 x (log.f64 x) (neg.f64 x))
(*.f64 x (+.f64 -1 (log.f64 x)))
(.f64 -1 (.f64 x (+.f64 1 (.f64 -1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))
(*.f64 x (+.f64 (log.f64 x) -1))
(-.f64 (*.f64 x (log.f64 x)) x)
(fma.f64 x (log.f64 x) (neg.f64 x))
(*.f64 x (+.f64 -1 (log.f64 x)))
(.f64 -1 (.f64 x (+.f64 1 (.f64 -1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))
(*.f64 x (+.f64 (log.f64 x) -1))
(-.f64 (*.f64 x (log.f64 x)) x)
(fma.f64 x (log.f64 x) (neg.f64 x))
(*.f64 x (+.f64 -1 (log.f64 x)))
(.f64 -1 (.f64 x (+.f64 1 (.f64 -1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))
(*.f64 x (+.f64 (log.f64 x) -1))
(-.f64 (*.f64 x (log.f64 x)) x)
(fma.f64 x (log.f64 x) (neg.f64 x))
(*.f64 x (+.f64 -1 (log.f64 x)))
(.f64 -1 (.f64 x (+.f64 1 (.f64 -1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))
(*.f64 x (+.f64 (log.f64 x) -1))
(-.f64 (*.f64 x (log.f64 x)) x)
(fma.f64 x (log.f64 x) (neg.f64 x))
(*.f64 x (+.f64 -1 (log.f64 x)))

localize4.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
	0.4b	(/.f64 83333333333333/1000000000000000 x)

Compiler

Compiled 8 to 6 computations (25% saved)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 91893853320467/100000000000000 (pow.f64 (*.f64 x 1000000000000000/83333333333333) -1))
✓	0.0b	(*.f64 x 1000000000000000/83333333333333)
✓	0.3b	(pow.f64 (*.f64 x 1000000000000000/83333333333333) -1)

Compiler

Compiled 22 to 18 computations (18.2% saved)

series5.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(pow.f64 (*.f64 x 1000000000000000/83333333333333) -1)
1.0ms	x	@	-inf	(pow.f64 (*.f64 x 1000000000000000/83333333333333) -1)
1.0ms	x	@	inf	(pow.f64 (*.f64 x 1000000000000000/83333333333333) -1)
0.0ms	x	@	0	(+.f64 91893853320467/100000000000000 (pow.f64 (*.f64 x 1000000000000000/83333333333333) -1))
0.0ms	x	@	-inf	(+.f64 91893853320467/100000000000000 (pow.f64 (*.f64 x 1000000000000000/83333333333333) -1))

rewrite85.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

839×	`pow1_binary64`
795×	`add-log-exp_binary64`
795×	`log1p-expm1-u_binary64`
795×	`expm1-log1p-u_binary64`
781×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	21
1	178	15
2	2108	15

Stop Event

1×	node limit

Counts

3 → 65

Calls

Call 1

Inputs
(pow.f64 (*.f64 x 1000000000000000/83333333333333) -1)
(*.f64 x 1000000000000000/83333333333333)
(+.f64 91893853320467/100000000000000 (pow.f64 (*.f64 x 1000000000000000/83333333333333) -1))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 83333333333333/1000000000000000 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 83333333333333/1000000000000000 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 83333333333333/1000000000000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)) (cbrt.f64 (pow.f64 (*.f64 x 1000000000000000/83333333333333) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 x 1000000000000000/83333333333333) -2)) (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) 83333333333333/1000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 83333333333333/1000000000000000 (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 x 1000000000000000/83333333333333) 2)) -1) (pow.f64 (cbrt.f64 (*.f64 x 1000000000000000/83333333333333)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 x 1000000000000000/83333333333333)) -1) (pow.f64 (sqrt.f64 (*.f64 x 1000000000000000/83333333333333)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (*.f64 x 1000000000000000/83333333333333)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 x 1000000000000000/83333333333333))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 x 1000000000000000/83333333333333) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 x) 1000000000000000/83333333333333)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 83333333333333/1000000000000000 x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) (sqrt.f64 (*.f64 x 1000000000000000/83333333333333)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (cbrt.f64 (pow.f64 (*.f64 x 1000000000000000/83333333333333) 2))) (cbrt.f64 (*.f64 x 1000000000000000/83333333333333)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x 1000000000000000/83333333333333) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 83333333333333/1000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x 1000000000000000/83333333333333) -3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 83333333333333/1000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 83333333333333/1000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 83333333333333/1000000000000000 x)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x 1000000000000000/83333333333333)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 1000000000000000/83333333333333) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x 1000000000000000/83333333333333) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x 1000000000000000/83333333333333)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x 1000000000000000/83333333333333)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x 1000000000000000/83333333333333) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1000000000000000/83333333333333) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x 1000000000000000/83333333333333) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x 1000000000000000/83333333333333)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x 1000000000000000/83333333333333)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x 1000000000000000/83333333333333)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 (/.f64 83333333333333/1000000000000000 x) 91893853320467/100000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 8444480278083503881401098089/10000000000000000000000000000 (-.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))) (/.f64 (pow.f64 (*.f64 x 1000000000000000/83333333333333) -2) (-.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 83333333333333/1000000000000000 x) 91893853320467/100000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 83333333333333/1000000000000000 x) 91893853320467/100000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 83333333333333/1000000000000000 x) 91893853320467/100000000000000)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 83333333333333/1000000000000000 x) 91893853320467/100000000000000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 83333333333333/1000000000000000 x) 91893853320467/100000000000000)) 2) (cbrt.f64 (+.f64 (/.f64 83333333333333/1000000000000000 x) 91893853320467/100000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 83333333333333/1000000000000000 x) 91893853320467/100000000000000)) (sqrt.f64 (+.f64 (/.f64 83333333333333/1000000000000000 x) 91893853320467/100000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000 (pow.f64 (*.f64 x 1000000000000000/83333333333333) -3)) (/.f64 1 (+.f64 8444480278083503881401098089/10000000000000000000000000000 (*.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 (/.f64 83333333333333/1000000000000000 x) 91893853320467/100000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 8444480278083503881401098089/10000000000000000000000000000 (pow.f64 (*.f64 x 1000000000000000/83333333333333) -2)) (/.f64 1 (-.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 8444480278083503881401098089/10000000000000000000000000000 (*.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 (/.f64 83333333333333/1000000000000000 x) 91893853320467/100000000000000))) (+.f64 775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000 (pow.f64 (*.f64 x 1000000000000000/83333333333333) -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x)) (-.f64 8444480278083503881401098089/10000000000000000000000000000 (pow.f64 (*.f64 x 1000000000000000/83333333333333) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000 (pow.f64 (*.f64 x 1000000000000000/83333333333333) -3)) (+.f64 8444480278083503881401098089/10000000000000000000000000000 (*.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 (/.f64 83333333333333/1000000000000000 x) 91893853320467/100000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000 (pow.f64 (*.f64 x 1000000000000000/83333333333333) -3)) (+.f64 (pow.f64 (*.f64 x 1000000000000000/83333333333333) -2) (-.f64 8444480278083503881401098089/10000000000000000000000000000 (/.f64 91893853320467/100000000000000 (*.f64 x 1000000000000000/83333333333333)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 8444480278083503881401098089/10000000000000000000000000000 (pow.f64 (*.f64 x 1000000000000000/83333333333333) -2)) (-.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000 (pow.f64 (*.f64 x 1000000000000000/83333333333333) -3))) (neg.f64 (+.f64 8444480278083503881401098089/10000000000000000000000000000 (*.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 (/.f64 83333333333333/1000000000000000 x) 91893853320467/100000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 8444480278083503881401098089/10000000000000000000000000000 (pow.f64 (*.f64 x 1000000000000000/83333333333333) -2))) (neg.f64 (-.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 x 1000000000000000/83333333333333) -2) 8444480278083503881401098089/10000000000000000000000000000) (-.f64 (/.f64 83333333333333/1000000000000000 x) 91893853320467/100000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 83333333333333/1000000000000000 x) 91893853320467/100000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 83333333333333/1000000000000000 x) 91893853320467/100000000000000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 83333333333333/1000000000000000 x) 91893853320467/100000000000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (/.f64 83333333333333/1000000000000000 x) 91893853320467/100000000000000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 83333333333333/1000000000000000 x) 91893853320467/100000000000000) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 83333333333333/1000000000000000 x) 91893853320467/100000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 83333333333333/1000000000000000 x) 91893853320467/100000000000000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 83333333333333/1000000000000000 x) 91893853320467/100000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 83333333333333/1000000000000000 x) 91893853320467/100000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 83333333333333/1000000000000000 x) 91893853320467/100000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 83333333333333/1000000000000000 x) 91893853320467/100000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (*.f64 x 1000000000000000/83333333333333) -2)) (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)) 91893853320467/100000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 x) 83333333333333/1000000000000000 91893853320467/100000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) 91893853320467/100000000000000)))))

simplify13.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`
2×	`fma-def_binary64`
1×	`+-commutative_binary64`
1×	`associate-*r/_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	165
1	17	165
2	20	165

Stop Event

1×

saturated

Counts

101 → 70

Calls

Call 1

Inputs
(/.f64 83333333333333/1000000000000000 x)
(/.f64 83333333333333/1000000000000000 x)
(/.f64 83333333333333/1000000000000000 x)
(/.f64 83333333333333/1000000000000000 x)
(/.f64 83333333333333/1000000000000000 x)
(/.f64 83333333333333/1000000000000000 x)
(/.f64 83333333333333/1000000000000000 x)
(/.f64 83333333333333/1000000000000000 x)
(/.f64 83333333333333/1000000000000000 x)
(/.f64 83333333333333/1000000000000000 x)
(/.f64 83333333333333/1000000000000000 x)
(/.f64 83333333333333/1000000000000000 x)
(*.f64 1000000000000000/83333333333333 x)
(*.f64 1000000000000000/83333333333333 x)
(*.f64 1000000000000000/83333333333333 x)
(*.f64 1000000000000000/83333333333333 x)
(*.f64 1000000000000000/83333333333333 x)
(*.f64 1000000000000000/83333333333333 x)
(*.f64 1000000000000000/83333333333333 x)
(*.f64 1000000000000000/83333333333333 x)
(*.f64 1000000000000000/83333333333333 x)
(*.f64 1000000000000000/83333333333333 x)
(*.f64 1000000000000000/83333333333333 x)
(*.f64 1000000000000000/83333333333333 x)
(/.f64 83333333333333/1000000000000000 x)
(+.f64 91893853320467/100000000000000 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)))
(+.f64 91893853320467/100000000000000 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)))
(+.f64 91893853320467/100000000000000 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)))
91893853320467/100000000000000
(+.f64 91893853320467/100000000000000 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)))
(+.f64 91893853320467/100000000000000 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)))
(+.f64 91893853320467/100000000000000 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)))
91893853320467/100000000000000
(+.f64 91893853320467/100000000000000 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)))
(+.f64 91893853320467/100000000000000 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)))
(+.f64 91893853320467/100000000000000 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)))

Outputs
(/.f64 83333333333333/1000000000000000 x)
(/.f64 83333333333333/1000000000000000 x)
(/.f64 83333333333333/1000000000000000 x)
(/.f64 83333333333333/1000000000000000 x)
(/.f64 83333333333333/1000000000000000 x)
(/.f64 83333333333333/1000000000000000 x)
(/.f64 83333333333333/1000000000000000 x)
(/.f64 83333333333333/1000000000000000 x)
(/.f64 83333333333333/1000000000000000 x)
(/.f64 83333333333333/1000000000000000 x)
(/.f64 83333333333333/1000000000000000 x)
(/.f64 83333333333333/1000000000000000 x)
(*.f64 1000000000000000/83333333333333 x)
(*.f64 x 1000000000000000/83333333333333)
(*.f64 1000000000000000/83333333333333 x)
(*.f64 x 1000000000000000/83333333333333)
(*.f64 1000000000000000/83333333333333 x)
(*.f64 x 1000000000000000/83333333333333)
(*.f64 1000000000000000/83333333333333 x)
(*.f64 x 1000000000000000/83333333333333)
(*.f64 1000000000000000/83333333333333 x)
(*.f64 x 1000000000000000/83333333333333)
(*.f64 1000000000000000/83333333333333 x)
(*.f64 x 1000000000000000/83333333333333)
(*.f64 1000000000000000/83333333333333 x)
(*.f64 x 1000000000000000/83333333333333)
(*.f64 1000000000000000/83333333333333 x)
(*.f64 x 1000000000000000/83333333333333)
(*.f64 1000000000000000/83333333333333 x)
(*.f64 x 1000000000000000/83333333333333)
(*.f64 1000000000000000/83333333333333 x)
(*.f64 x 1000000000000000/83333333333333)
(*.f64 1000000000000000/83333333333333 x)
(*.f64 x 1000000000000000/83333333333333)
(*.f64 1000000000000000/83333333333333 x)
(*.f64 x 1000000000000000/83333333333333)
(/.f64 83333333333333/1000000000000000 x)
(+.f64 91893853320467/100000000000000 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)))
(+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))
(+.f64 91893853320467/100000000000000 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)))
(+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))
(+.f64 91893853320467/100000000000000 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)))
(+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))
91893853320467/100000000000000
(+.f64 91893853320467/100000000000000 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)))
(+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))
(+.f64 91893853320467/100000000000000 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)))
(+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))
(+.f64 91893853320467/100000000000000 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)))
(+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))
91893853320467/100000000000000
(+.f64 91893853320467/100000000000000 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)))
(+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))
(+.f64 91893853320467/100000000000000 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)))
(+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))
(+.f64 91893853320467/100000000000000 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)))
(+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))

localize35.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 (-.f64 x 1/2) (log.f64 x))
	0.2b	(+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000)
✓	0.2b	(.f64 z (.f64 z (/.f64 (+.f64 7936500793651/10000000000000000 y) x)))
✓	2.4b	(*.f64 z (/.f64 (+.f64 7936500793651/10000000000000000 y) x))

Compiler

Compiled 82 to 48 computations (41.5% saved)

series11.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	y	@	-inf	(.f64 z (.f64 z (/.f64 (+.f64 7936500793651/10000000000000000 y) x)))
1.0ms	x	@	0	(.f64 z (.f64 z (/.f64 (+.f64 7936500793651/10000000000000000 y) x)))
1.0ms	z	@	0	(*.f64 z (/.f64 (+.f64 7936500793651/10000000000000000 y) x))
1.0ms	y	@	0	(.f64 z (.f64 z (/.f64 (+.f64 7936500793651/10000000000000000 y) x)))
1.0ms	z	@	0	(.f64 z (.f64 z (/.f64 (+.f64 7936500793651/10000000000000000 y) x)))

rewrite74.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

519×	`log-prod_binary64`
391×	`exp-prod_binary64`
353×	`pow-prod-down_binary64`
265×	`pow2_binary64`
212×	`pow-unpow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	198	23
2	2704	23

Stop Event

1×	node limit

Counts

2 → 67

Calls

Call 1

Inputs
(*.f64 z (/.f64 (+.f64 7936500793651/10000000000000000 y) x))
(.f64 z (.f64 z (/.f64 (+.f64 7936500793651/10000000000000000 y) x)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 z (/.f64 (+.f64 7936500793651/10000000000000000 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (/.f64 (+.f64 7936500793651/10000000000000000 y) x))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (/.f64 (+.f64 7936500793651/10000000000000000 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (/.f64 (+.f64 7936500793651/10000000000000000 y) x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (/.f64 (+.f64 7936500793651/10000000000000000 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 z (/.f64 (+.f64 7936500793651/10000000000000000 y) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 z (/.f64 x (+.f64 7936500793651/10000000000000000 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x (*.f64 z (+.f64 7936500793651/10000000000000000 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (+.f64 7936500793651/10000000000000000 y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 z (+.f64 7936500793651/10000000000000000 y))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 z (+.f64 7936500793651/10000000000000000 y)) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 z (+.f64 7936500793651/10000000000000000 y)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 z (+.f64 7936500793651/10000000000000000 y)) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (+.f64 7936500793651/10000000000000000 y)) z) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (neg.f64 (+.f64 7936500793651/10000000000000000 y))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z (/.f64 (+.f64 7936500793651/10000000000000000 y) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z (/.f64 (+.f64 7936500793651/10000000000000000 y) x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z (/.f64 (+.f64 7936500793651/10000000000000000 y) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 z (/.f64 (+.f64 7936500793651/10000000000000000 y) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 z (/.f64 (+.f64 7936500793651/10000000000000000 y) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 z (/.f64 (+.f64 7936500793651/10000000000000000 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (*.f64 z (+.f64 7936500793651/10000000000000000 y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 z (/.f64 (+.f64 7936500793651/10000000000000000 y) x)))) 2)) (cbrt.f64 (log.f64 (*.f64 z (/.f64 (+.f64 7936500793651/10000000000000000 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 z (/.f64 (+.f64 7936500793651/10000000000000000 y) x))))) (sqrt.f64 (log.f64 (*.f64 z (/.f64 (+.f64 7936500793651/10000000000000000 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 z (/.f64 (+.f64 7936500793651/10000000000000000 y) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (/.f64 (+.f64 7936500793651/10000000000000000 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 z (/.f64 (+.f64 7936500793651/10000000000000000 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 z (/.f64 (+.f64 7936500793651/10000000000000000 y) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 z (/.f64 (+.f64 7936500793651/10000000000000000 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 z (/.f64 (+.f64 7936500793651/10000000000000000 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 z (/.f64 (+.f64 7936500793651/10000000000000000 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 z (/.f64 (+.f64 7936500793651/10000000000000000 y) x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 z (/.f64 (+.f64 7936500793651/10000000000000000 y) x)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 z (/.f64 (+.f64 7936500793651/10000000000000000 y) x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 z (/.f64 (+.f64 7936500793651/10000000000000000 y) x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 z (/.f64 (+.f64 7936500793651/10000000000000000 y) x))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 z) 1) (log.f64 (/.f64 x (+.f64 7936500793651/10000000000000000 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (*.f64 z (+.f64 7936500793651/10000000000000000 y))) (*.f64 (log.f64 x) 1)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 (+.f64 7936500793651/10000000000000000 y) x) (*.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (*.f64 z (/.f64 (+.f64 7936500793651/10000000000000000 y) x)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (*.f64 z (/.f64 (+.f64 7936500793651/10000000000000000 y) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (*.f64 z (/.f64 (+.f64 7936500793651/10000000000000000 y) x))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (*.f64 z (/.f64 (+.f64 7936500793651/10000000000000000 y) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (+.f64 7936500793651/10000000000000000 y) x) (*.f64 z z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 z (+.f64 7936500793651/10000000000000000 y)) z) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (*.f64 z (+.f64 7936500793651/10000000000000000 y))) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 z z) (+.f64 7936500793651/10000000000000000 y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 z z) 1) (/.f64 x (+.f64 7936500793651/10000000000000000 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 z z) (neg.f64 (+.f64 7936500793651/10000000000000000 y))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (+.f64 7936500793651/10000000000000000 y) x) (*.f64 z z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z (sqrt.f64 (/.f64 (+.f64 7936500793651/10000000000000000 y) x))) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z (sqrt.f64 (/.f64 (+.f64 7936500793651/10000000000000000 y) x))) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 7936500793651/10000000000000000 y) x) (*.f64 z z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z (sqrt.f64 (/.f64 (+.f64 7936500793651/10000000000000000 y) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 (/.f64 (+.f64 7936500793651/10000000000000000 y) x) (*.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (/.f64 (+.f64 7936500793651/10000000000000000 y) x)) z) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (/.f64 (+.f64 7936500793651/10000000000000000 y) x) (*.f64 z z)))) 2)) (cbrt.f64 (log.f64 (*.f64 (/.f64 (+.f64 7936500793651/10000000000000000 y) x) (*.f64 z z)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (/.f64 (+.f64 7936500793651/10000000000000000 y) x) (*.f64 z z))))) (sqrt.f64 (log.f64 (*.f64 (/.f64 (+.f64 7936500793651/10000000000000000 y) x) (*.f64 z z)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 z (sqrt.f64 (/.f64 (+.f64 7936500793651/10000000000000000 y) x))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (*.f64 z (/.f64 (+.f64 7936500793651/10000000000000000 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (+.f64 7936500793651/10000000000000000 y) x) (*.f64 z z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 z (sqrt.f64 (/.f64 (+.f64 7936500793651/10000000000000000 y) x))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 (+.f64 7936500793651/10000000000000000 y) x) (*.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 (+.f64 7936500793651/10000000000000000 y) x) (*.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 (+.f64 7936500793651/10000000000000000 y) x) (*.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (+.f64 7936500793651/10000000000000000 y) x) (*.f64 z z))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 z (sqrt.f64 (/.f64 (+.f64 7936500793651/10000000000000000 y) x))) 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 7936500793651/10000000000000000 y) x) (*.f64 z z)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 z (sqrt.f64 (/.f64 (+.f64 7936500793651/10000000000000000 y) x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 (+.f64 7936500793651/10000000000000000 y) x) (*.f64 z z))) 1) 1))))))

simplify83.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

833×	`distribute-rgt-out_binary64`
819×	`fma-def_binary64`
680×	`distribute-lft-in_binary64`
617×	`associate-/r/_binary64`
363×	`associate-/l/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	810
1	56	810
2	99	810
3	198	810
4	566	810
5	2069	810
6	4460	810
7	6173	810

Stop Event

1×	node limit

Counts

139 → 80

Calls

Call 1

Inputs
(/.f64 (*.f64 z (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 z (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 z (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 z (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 z (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 z (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 z (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 z (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 z (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 z (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 z (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 z (+.f64 7936500793651/10000000000000000 y)) x)
(*.f64 7936500793651/10000000000000000 (/.f64 z x))
(+.f64 (.f64 7936500793651/10000000000000000 (/.f64 z x)) (/.f64 (.f64 y z) x))
(+.f64 (.f64 7936500793651/10000000000000000 (/.f64 z x)) (/.f64 (.f64 y z) x))
(+.f64 (.f64 7936500793651/10000000000000000 (/.f64 z x)) (/.f64 (.f64 y z) x))
(/.f64 (*.f64 y z) x)
(+.f64 (.f64 7936500793651/10000000000000000 (/.f64 z x)) (/.f64 (.f64 y z) x))
(+.f64 (.f64 7936500793651/10000000000000000 (/.f64 z x)) (/.f64 (.f64 y z) x))
(+.f64 (.f64 7936500793651/10000000000000000 (/.f64 z x)) (/.f64 (.f64 y z) x))
(/.f64 (*.f64 y z) x)
(+.f64 (.f64 7936500793651/10000000000000000 (/.f64 z x)) (/.f64 (.f64 y z) x))
(+.f64 (.f64 7936500793651/10000000000000000 (/.f64 z x)) (/.f64 (.f64 y z) x))
(+.f64 (.f64 7936500793651/10000000000000000 (/.f64 z x)) (/.f64 (.f64 y z) x))
(/.f64 (*.f64 z (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 z (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 z (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 z (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 z (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 z (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 z (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 z (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 z (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 z (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 z (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 z (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x))
(+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)))
(+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)))
(+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)))
(+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)))
(+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)))
(+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)))
(+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)))
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)

Outputs
(/.f64 (*.f64 z (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 z (/.f64 x (+.f64 7936500793651/10000000000000000 y)))
(*.f64 (/.f64 z x) (+.f64 7936500793651/10000000000000000 y))
(/.f64 (+.f64 7936500793651/10000000000000000 y) (/.f64 x z))
(*.f64 z (/.f64 (+.f64 7936500793651/10000000000000000 y) x))
(/.f64 (*.f64 z (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 z (/.f64 x (+.f64 7936500793651/10000000000000000 y)))
(*.f64 (/.f64 z x) (+.f64 7936500793651/10000000000000000 y))
(/.f64 (+.f64 7936500793651/10000000000000000 y) (/.f64 x z))
(*.f64 z (/.f64 (+.f64 7936500793651/10000000000000000 y) x))
(/.f64 (*.f64 z (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 z (/.f64 x (+.f64 7936500793651/10000000000000000 y)))
(*.f64 (/.f64 z x) (+.f64 7936500793651/10000000000000000 y))
(/.f64 (+.f64 7936500793651/10000000000000000 y) (/.f64 x z))
(*.f64 z (/.f64 (+.f64 7936500793651/10000000000000000 y) x))
(/.f64 (*.f64 z (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 z (/.f64 x (+.f64 7936500793651/10000000000000000 y)))
(*.f64 (/.f64 z x) (+.f64 7936500793651/10000000000000000 y))
(/.f64 (+.f64 7936500793651/10000000000000000 y) (/.f64 x z))
(*.f64 z (/.f64 (+.f64 7936500793651/10000000000000000 y) x))
(/.f64 (*.f64 z (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 z (/.f64 x (+.f64 7936500793651/10000000000000000 y)))
(*.f64 (/.f64 z x) (+.f64 7936500793651/10000000000000000 y))
(/.f64 (+.f64 7936500793651/10000000000000000 y) (/.f64 x z))
(*.f64 z (/.f64 (+.f64 7936500793651/10000000000000000 y) x))
(/.f64 (*.f64 z (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 z (/.f64 x (+.f64 7936500793651/10000000000000000 y)))
(*.f64 (/.f64 z x) (+.f64 7936500793651/10000000000000000 y))
(/.f64 (+.f64 7936500793651/10000000000000000 y) (/.f64 x z))
(*.f64 z (/.f64 (+.f64 7936500793651/10000000000000000 y) x))
(/.f64 (*.f64 z (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 z (/.f64 x (+.f64 7936500793651/10000000000000000 y)))
(*.f64 (/.f64 z x) (+.f64 7936500793651/10000000000000000 y))
(/.f64 (+.f64 7936500793651/10000000000000000 y) (/.f64 x z))
(*.f64 z (/.f64 (+.f64 7936500793651/10000000000000000 y) x))
(/.f64 (*.f64 z (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 z (/.f64 x (+.f64 7936500793651/10000000000000000 y)))
(*.f64 (/.f64 z x) (+.f64 7936500793651/10000000000000000 y))
(/.f64 (+.f64 7936500793651/10000000000000000 y) (/.f64 x z))
(*.f64 z (/.f64 (+.f64 7936500793651/10000000000000000 y) x))
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(+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)))
(/.f64 (*.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y)))
(*.f64 (/.f64 z (/.f64 x z)) (+.f64 7936500793651/10000000000000000 y))
(*.f64 (/.f64 (+.f64 7936500793651/10000000000000000 y) (/.f64 x z)) z)
(.f64 z (.f64 z (/.f64 (+.f64 7936500793651/10000000000000000 y) x)))
(.f64 (+.f64 7936500793651/10000000000000000 y) (/.f64 (.f64 z z) x))
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y)))
(*.f64 (/.f64 z (/.f64 x z)) (+.f64 7936500793651/10000000000000000 y))
(*.f64 (/.f64 (+.f64 7936500793651/10000000000000000 y) (/.f64 x z)) z)
(.f64 z (.f64 z (/.f64 (+.f64 7936500793651/10000000000000000 y) x)))
(.f64 (+.f64 7936500793651/10000000000000000 y) (/.f64 (.f64 z z) x))
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y)))
(*.f64 (/.f64 z (/.f64 x z)) (+.f64 7936500793651/10000000000000000 y))
(*.f64 (/.f64 (+.f64 7936500793651/10000000000000000 y) (/.f64 x z)) z)
(.f64 z (.f64 z (/.f64 (+.f64 7936500793651/10000000000000000 y) x)))
(.f64 (+.f64 7936500793651/10000000000000000 y) (/.f64 (.f64 z z) x))
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y)))
(*.f64 (/.f64 z (/.f64 x z)) (+.f64 7936500793651/10000000000000000 y))
(*.f64 (/.f64 (+.f64 7936500793651/10000000000000000 y) (/.f64 x z)) z)
(.f64 z (.f64 z (/.f64 (+.f64 7936500793651/10000000000000000 y) x)))
(.f64 (+.f64 7936500793651/10000000000000000 y) (/.f64 (.f64 z z) x))
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y)))
(*.f64 (/.f64 z (/.f64 x z)) (+.f64 7936500793651/10000000000000000 y))
(*.f64 (/.f64 (+.f64 7936500793651/10000000000000000 y) (/.f64 x z)) z)
(.f64 z (.f64 z (/.f64 (+.f64 7936500793651/10000000000000000 y) x)))
(.f64 (+.f64 7936500793651/10000000000000000 y) (/.f64 (.f64 z z) x))
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y)))
(*.f64 (/.f64 z (/.f64 x z)) (+.f64 7936500793651/10000000000000000 y))
(*.f64 (/.f64 (+.f64 7936500793651/10000000000000000 y) (/.f64 x z)) z)
(.f64 z (.f64 z (/.f64 (+.f64 7936500793651/10000000000000000 y) x)))
(.f64 (+.f64 7936500793651/10000000000000000 y) (/.f64 (.f64 z z) x))
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y)))
(*.f64 (/.f64 z (/.f64 x z)) (+.f64 7936500793651/10000000000000000 y))
(*.f64 (/.f64 (+.f64 7936500793651/10000000000000000 y) (/.f64 x z)) z)
(.f64 z (.f64 z (/.f64 (+.f64 7936500793651/10000000000000000 y) x)))
(.f64 (+.f64 7936500793651/10000000000000000 y) (/.f64 (.f64 z z) x))
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y)))
(*.f64 (/.f64 z (/.f64 x z)) (+.f64 7936500793651/10000000000000000 y))
(*.f64 (/.f64 (+.f64 7936500793651/10000000000000000 y) (/.f64 x z)) z)
(.f64 z (.f64 z (/.f64 (+.f64 7936500793651/10000000000000000 y) x)))
(.f64 (+.f64 7936500793651/10000000000000000 y) (/.f64 (.f64 z z) x))
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y)))
(*.f64 (/.f64 z (/.f64 x z)) (+.f64 7936500793651/10000000000000000 y))
(*.f64 (/.f64 (+.f64 7936500793651/10000000000000000 y) (/.f64 x z)) z)
(.f64 z (.f64 z (/.f64 (+.f64 7936500793651/10000000000000000 y) x)))
(.f64 (+.f64 7936500793651/10000000000000000 y) (/.f64 (.f64 z z) x))
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y)))
(*.f64 (/.f64 z (/.f64 x z)) (+.f64 7936500793651/10000000000000000 y))
(*.f64 (/.f64 (+.f64 7936500793651/10000000000000000 y) (/.f64 x z)) z)
(.f64 z (.f64 z (/.f64 (+.f64 7936500793651/10000000000000000 y) x)))
(.f64 (+.f64 7936500793651/10000000000000000 y) (/.f64 (.f64 z z) x))
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y)))
(*.f64 (/.f64 z (/.f64 x z)) (+.f64 7936500793651/10000000000000000 y))
(*.f64 (/.f64 (+.f64 7936500793651/10000000000000000 y) (/.f64 x z)) z)
(.f64 z (.f64 z (/.f64 (+.f64 7936500793651/10000000000000000 y) x)))
(.f64 (+.f64 7936500793651/10000000000000000 y) (/.f64 (.f64 z z) x))
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y)))
(*.f64 (/.f64 z (/.f64 x z)) (+.f64 7936500793651/10000000000000000 y))
(*.f64 (/.f64 (+.f64 7936500793651/10000000000000000 y) (/.f64 x z)) z)
(.f64 z (.f64 z (/.f64 (+.f64 7936500793651/10000000000000000 y) x)))
(.f64 (+.f64 7936500793651/10000000000000000 y) (/.f64 (.f64 z z) x))
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y)))
(*.f64 (/.f64 z (/.f64 x z)) (+.f64 7936500793651/10000000000000000 y))
(*.f64 (/.f64 (+.f64 7936500793651/10000000000000000 y) (/.f64 x z)) z)
(.f64 z (.f64 z (/.f64 (+.f64 7936500793651/10000000000000000 y) x)))
(.f64 (+.f64 7936500793651/10000000000000000 y) (/.f64 (.f64 z z) x))

localize41.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 (+.f64 x -1/2) (log.f64 x))
	0.2b	(+.f64 (-.f64 (pow.f64 (sqrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) 2) x) 91893853320467/100000000000000)
	0.4b	(/.f64 83333333333333/1000000000000000 x)
	0.4b	(pow.f64 (sqrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) 2)

Compiler

Compiled 79 to 53 computations (32.9% saved)

eval243.0ms (1.4%)

Compiler: Compiled 13198 to 8236 computations (37.6% saved)

prune128.0ms (0.7%)

Pruning

35 alts after pruning (31 fresh and 4 done)

	Pruned	Kept	Total
New	581	16	597
Fresh	13	15	28
Picked	1	0	1
Done	2	4	6
Total	597	35	632

Error

Counts

632 → 35

Alt Table

Click to see full alt table

Status	Error	Program
	21.7b	(+.f64 (-.f64 (.f64 x (log.f64 x)) x) (.f64 z (*.f64 z (/.f64 (+.f64 7936500793651/10000000000000000 y) x))))
✓	42.2b	(/.f64 83333333333333/1000000000000000 x)
	9.9b	(+.f64 (+.f64 (-.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) 3) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
	42.4b	(pow.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) 2)
	51.8b	(/.f64 1 (/.f64 (-.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x)) (-.f64 8444480278083503881401098089/10000000000000000000000000000 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)))))
	42.7b	(-.f64 (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x)) (*.f64 1/2 (log.f64 x)))
	51.8b	(.f64 (-.f64 8444480278083503881401098089/10000000000000000000000000000 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (.f64 x x))) (/.f64 1 (-.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))))
	26.5b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 y (/.f64 (*.f64 z z) x)))
	42.7b	(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
	9.9b	(+.f64 (+.f64 (-.f64 (.f64 (pow.f64 (cbrt.f64 (+.f64 x -1/2)) 2) (.f64 (cbrt.f64 (+.f64 x -1/2)) (log.f64 x))) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
	5.6b	(+.f64 (-.f64 (.f64 x (log.f64 x)) x) (+.f64 (/.f64 83333333333333/1000000000000000 x) (.f64 (/.f64 1 x) (/.f64 (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000) (/.f64 1 z)))))
	29.4b	(+.f64 91893853320467/100000000000000 (.f64 -1 (.f64 (+.f64 1 (log.f64 (/.f64 1 x))) x)))
	9.5b	(+.f64 (fma.f64 (sqrt.f64 (.f64 (+.f64 x -1/2) (log.f64 x))) (sqrt.f64 (.f64 (+.f64 x -1/2) (log.f64 x))) (neg.f64 (-.f64 x 91893853320467/100000000000000))) (/.f64 83333333333333/1000000000000000 x))
	41.7b	(-.f64 (+.f64 1 (+.f64 (/.f64 83333333333333/1000000000000000 x) 91893853320467/100000000000000)) 1)
✓	9.9b	(+.f64 (+.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x)) 3) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
	35.8b	(+.f64 (neg.f64 x) (/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
	9.5b	(+.f64 (+.f64 (pow.f64 (sqrt.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x)) 2) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
	29.1b	(+.f64 (-.f64 91893853320467/100000000000000 x) (*.f64 (log.f64 x) (+.f64 -1/2 x)))
	61.0b	91893853320467/100000000000000
	9.4b	(-.f64 (-.f64 (+.f64 (/.f64 83333333333333/1000000000000000 x) 91893853320467/100000000000000) (*.f64 (log.f64 x) (-.f64 1/2 x))) x)
	43.1b	(+.f64 (neg.f64 x) (/.f64 83333333333333/1000000000000000 x))
✓	41.7b	(+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))
	41.7b	(+.f64 91893853320467/100000000000000 (/.f64 (/.f64 1 x) 1000000000000000/83333333333333))
	30.4b	(+.f64 (/.f64 1 (/.f64 (-.f64 (.f64 (+.f64 x -1/2) (log.f64 x)) (+.f64 x 91893853320467/100000000000000)) (+.f64 (pow.f64 (-.f64 (.f64 (+.f64 x -1/2) (log.f64 x)) x) 2) -8444480278083503881401098089/10000000000000000000000000000))) (/.f64 83333333333333/1000000000000000 x))
	7.6b	(+.f64 (-.f64 (.f64 x (log.f64 x)) x) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x)))
	51.8b	(/.f64 (-.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)) 8444480278083503881401098089/10000000000000000000000000000) (-.f64 (/.f64 83333333333333/1000000000000000 x) 91893853320467/100000000000000))
	24.9b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 (/.f64 z x) (*.f64 z 7936500793651/10000000000000000)))
	41.7b	(+.f64 91893853320467/100000000000000 (/.f64 1 (*.f64 x 1000000000000000/83333333333333)))
	30.1b	(+.f64 (+.f64 (-.f64 (/.f64 (*.f64 (fma.f64 x x -1/4) (log.f64 x)) (+.f64 x 1/2)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
	42.8b	(+.f64 (+.f64 (-.f64 (*.f64 -1/2 (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
	9.7b	(+.f64 (+.f64 (-.f64 (.f64 (.f64 (sqrt.f64 (.f64 (+.f64 x -1/2) (log.f64 x))) (cbrt.f64 (.f64 (+.f64 x -1/2) (log.f64 x)))) (cbrt.f64 (sqrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))))) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
	42.5b	(pow.f64 (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)) 3)
✓	1.7b	(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000) (/.f64 x z))))
	30.9b	(+.f64 (+.f64 (-.f64 (pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 2) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
	30.5b	(+.f64 (+.f64 (-.f64 (.f64 (.f64 (+.f64 x -1/2) (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x))) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))

Compiler

Compiled 610 to 469 computations (23.1% saved)

regimes477.0ms (2.7%)

Counts

87 → 1

Calls

Call 1

Inputs
91893853320467/100000000000000
91893853320467/100000000000000
(/.f64 83333333333333/1000000000000000 x)
(+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))
(+.f64 (neg.f64 x) (/.f64 83333333333333/1000000000000000 x))
(+.f64 91893853320467/100000000000000 (/.f64 (/.f64 1 x) 1000000000000000/83333333333333))
(+.f64 91893853320467/100000000000000 (/.f64 1 (*.f64 x 1000000000000000/83333333333333)))
(+.f64 91893853320467/100000000000000 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)))
(-.f64 (+.f64 1 (+.f64 (/.f64 83333333333333/1000000000000000 x) 91893853320467/100000000000000)) 1)
(-.f64 (+.f64 1 (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))) 1)
(/.f64 (-.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)) 8444480278083503881401098089/10000000000000000000000000000) (-.f64 (/.f64 83333333333333/1000000000000000 x) 91893853320467/100000000000000))
(/.f64 1 (/.f64 (-.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x)) (-.f64 8444480278083503881401098089/10000000000000000000000000000 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)))))
(.f64 (-.f64 8444480278083503881401098089/10000000000000000000000000000 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (.f64 x x))) (/.f64 1 (-.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))))
(+.f64 (neg.f64 x) (/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(-.f64 91893853320467/100000000000000 (*.f64 1/2 (log.f64 x)))
(+.f64 91893853320467/100000000000000 (pow.f64 (*.f64 x 1000000000000000/83333333333333) -1))
(-.f64 (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x)) (*.f64 1/2 (log.f64 x)))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 91893853320467/100000000000000 (-.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 1/2 (log.f64 x))))
(+.f64 (-.f64 91893853320467/100000000000000 x) (*.f64 (log.f64 x) (+.f64 -1/2 x)))
(+.f64 (+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x))) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (-.f64 (*.f64 -1/2 (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(-.f64 (+.f64 91893853320467/100000000000000 (.f64 83333333333333/1000000000000000 (/.f64 1 x))) (.f64 1/2 (log.f64 x)))
(+.f64 (+.f64 (-.f64 (*.f64 -1/2 (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 91893853320467/100000000000000 (.f64 -1 (.f64 (+.f64 1 (log.f64 (/.f64 1 x))) x)))
(-.f64 (-.f64 (+.f64 (/.f64 83333333333333/1000000000000000 x) 91893853320467/100000000000000) (*.f64 (log.f64 x) (-.f64 1/2 x))) x)
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (-.f64 (.f64 x (log.f64 x)) x) (.f64 z (*.f64 z (/.f64 (+.f64 7936500793651/10000000000000000 y) x))))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 (/.f64 z x) (*.f64 z 7936500793651/10000000000000000)))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 y (/.f64 (*.f64 z z) x)))
(+.f64 (-.f64 (.f64 x (log.f64 x)) x) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x)))
(+.f64 (-.f64 (.f64 x (log.f64 x)) x) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 z (*.f64 z (/.f64 (+.f64 7936500793651/10000000000000000 y) x))))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 83333333333333/1000000000000000 x) (.f64 (/.f64 z x) (*.f64 z (+.f64 y 7936500793651/10000000000000000)))))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x)))
(+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 (/.f64 1 x))) 1) x) (/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(pow.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) 2)
(pow.f64 (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)) 3)
(pow.f64 (sqrt.f64 (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))) 2)
(pow.f64 (cbrt.f64 (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))) 3)
(+.f64 91893853320467/100000000000000 (-.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 (log.f64 x) (-.f64 1/2 x) x)))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (pow.f64 (.f64 x 1000000000000000/83333333333333) -1))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (sqrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (.f64 x x))))
(+.f64 (+.f64 (-.f64 (/.f64 (*.f64 (fma.f64 x x -1/4) (log.f64 x)) (+.f64 x 1/2)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 91893853320467/100000000000000 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) (.f64 z (/.f64 z x))) (fma.f64 (log.f64 x) (-.f64 1/2 x) x)))
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000) (/.f64 x z))))
(+.f64 (-.f64 (.f64 x (log.f64 x)) x) (+.f64 (/.f64 83333333333333/1000000000000000 x) (.f64 (/.f64 1 x) (/.f64 (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000) (/.f64 1 z)))))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000) (/.f64 x z))))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 83333333333333/1000000000000000 x) (.f64 (/.f64 z x) (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000))))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 83333333333333/1000000000000000 x) (.f64 (/.f64 1 x) (/.f64 (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000) (/.f64 1 z)))))
(+.f64 (+.f64 (-.f64 (/.f64 (.f64 (fma.f64 x x -1/4) (log.f64 x)) (+.f64 x 1/2)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 83333333333333/1000000000000000 x) (+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (/.f64 (.f64 (-.f64 (.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x))))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x) (.f64 -13888888888889/5000000000000000 (/.f64 z x)))))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (/.f64 (.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x))))
(+.f64 (+.f64 (-.f64 (pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 2) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (pow.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) 2))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (pow.f64 (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)) 3))
(+.f64 (+.f64 (-.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) 3) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x)) 3) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (pow.f64 (sqrt.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x)) 2) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (-.f64 (pow.f64 (sqrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) 2) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (-.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 x -1/2) (log.f64 x))) 3) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (-.f64 (pow.f64 (sqrt.f64 (.f64 (+.f64 x -1/2) (log.f64 x))) 2) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 (+.f64 x -1/2) (log.f64 x)) x)) 3) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (pow.f64 (sqrt.f64 (-.f64 (.f64 (+.f64 x -1/2) (log.f64 x)) x)) 2) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (/.f64 1 (/.f64 (-.f64 (.f64 (+.f64 x -1/2) (log.f64 x)) (+.f64 x 91893853320467/100000000000000)) (+.f64 (pow.f64 (-.f64 (.f64 (+.f64 x -1/2) (log.f64 x)) x) 2) -8444480278083503881401098089/10000000000000000000000000000))) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (/.f64 1 (/.f64 (-.f64 (.f64 (+.f64 x -1/2) (log.f64 x)) (+.f64 x 91893853320467/100000000000000)) (+.f64 (pow.f64 (-.f64 (.f64 (+.f64 x -1/2) (log.f64 x)) x) 2) -8444480278083503881401098089/10000000000000000000000000000))) (/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (-.f64 (.f64 (.f64 (+.f64 x -1/2) (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x))) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 91893853320467/100000000000000 (-.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) (fma.f64 (log.f64 x) (-.f64 1/2 x) x)))
(+.f64 (+.f64 (-.f64 (.f64 (pow.f64 (cbrt.f64 (+.f64 x -1/2)) 2) (.f64 (cbrt.f64 (+.f64 x -1/2)) (log.f64 x))) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (pow.f64 (/.f64 x (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) -1))
(+.f64 (+.f64 (-.f64 (.f64 (.f64 (+.f64 x -1/2) (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x))) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (-.f64 (.f64 (pow.f64 (cbrt.f64 (+.f64 x -1/2)) 2) (.f64 (cbrt.f64 (+.f64 x -1/2)) (log.f64 x))) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (fma.f64 (sqrt.f64 (.f64 (+.f64 x -1/2) (log.f64 x))) (sqrt.f64 (.f64 (+.f64 x -1/2) (log.f64 x))) (neg.f64 (-.f64 x 91893853320467/100000000000000))) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (fma.f64 (sqrt.f64 (.f64 (+.f64 x -1/2) (log.f64 x))) (sqrt.f64 (.f64 (+.f64 x -1/2) (log.f64 x))) (neg.f64 (+.f64 x -91893853320467/100000000000000))) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (pow.f64 (sqrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) 2))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) 3))
(+.f64 91893853320467/100000000000000 (/.f64 (-.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)) (pow.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x) 2)) (+.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 (log.f64 x) (-.f64 1/2 x) x))))
(+.f64 (fma.f64 (.f64 (+.f64 x -1/2) (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (neg.f64 (+.f64 x -91893853320467/100000000000000))) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 (/.f64 1 (cbrt.f64 (*.f64 x x))) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) (cbrt.f64 x))))
(+.f64 (fma.f64 (sqrt.f64 (.f64 (+.f64 x -1/2) (log.f64 x))) (sqrt.f64 (.f64 (+.f64 x -1/2) (log.f64 x))) (neg.f64 (+.f64 x -91893853320467/100000000000000))) (/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 91893853320467/100000000000000 (-.f64 (/.f64 (log.f64 (exp.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000))) x) (fma.f64 (log.f64 x) (-.f64 1/2 x) x)))
(+.f64 91893853320467/100000000000000 (-.f64 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) (cbrt.f64 x))) (fma.f64 (log.f64 x) (-.f64 1/2 x) x)))
(+.f64 (+.f64 (-.f64 (.f64 (.f64 (sqrt.f64 (.f64 (+.f64 x -1/2) (log.f64 x))) (cbrt.f64 (.f64 (+.f64 x -1/2) (log.f64 x)))) (cbrt.f64 (sqrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))))) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (-.f64 (.f64 (.f64 (sqrt.f64 (.f64 (+.f64 x -1/2) (log.f64 x))) (cbrt.f64 (.f64 (+.f64 x -1/2) (log.f64 x)))) (cbrt.f64 (sqrt.f64 (.f64 (+.f64 x -1/2) (log.f64 x))))) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))

Outputs

(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000) (/.f64 x z))))

Calls

11 calls:

53.0ms	x
50.0ms	z
49.0ms	y
49.0ms	(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)
47.0ms	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))

Results

Error	Segments	Branch
0.8b	1	`x`
0.8b	1	`y`
0.8b	1	`z`
0.8b	1	`(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))`
0.8b	1	`(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))`
0.8b	1	`(+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000)`
0.8b	1	`(+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000)`
0.8b	1	`(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)`
0.8b	1	`(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)`
0.8b	1	`(+.f64 y 7936500793651/10000000000000000)`
0.8b	1	`(+.f64 y 7936500793651/10000000000000000)`

Compiler

Compiled 1763 to 1181 computations (33% saved)

regimes389.0ms (2.2%)

Counts

49 → 2

Calls

Call 1

Inputs
91893853320467/100000000000000
91893853320467/100000000000000
(/.f64 83333333333333/1000000000000000 x)
(+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))
(+.f64 (neg.f64 x) (/.f64 83333333333333/1000000000000000 x))
(+.f64 91893853320467/100000000000000 (/.f64 (/.f64 1 x) 1000000000000000/83333333333333))
(+.f64 91893853320467/100000000000000 (/.f64 1 (*.f64 x 1000000000000000/83333333333333)))
(+.f64 91893853320467/100000000000000 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)))
(-.f64 (+.f64 1 (+.f64 (/.f64 83333333333333/1000000000000000 x) 91893853320467/100000000000000)) 1)
(-.f64 (+.f64 1 (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))) 1)
(/.f64 (-.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)) 8444480278083503881401098089/10000000000000000000000000000) (-.f64 (/.f64 83333333333333/1000000000000000 x) 91893853320467/100000000000000))
(/.f64 1 (/.f64 (-.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x)) (-.f64 8444480278083503881401098089/10000000000000000000000000000 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)))))
(.f64 (-.f64 8444480278083503881401098089/10000000000000000000000000000 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (.f64 x x))) (/.f64 1 (-.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))))
(+.f64 (neg.f64 x) (/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(-.f64 91893853320467/100000000000000 (*.f64 1/2 (log.f64 x)))
(+.f64 91893853320467/100000000000000 (pow.f64 (*.f64 x 1000000000000000/83333333333333) -1))
(-.f64 (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x)) (*.f64 1/2 (log.f64 x)))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 91893853320467/100000000000000 (-.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 1/2 (log.f64 x))))
(+.f64 (-.f64 91893853320467/100000000000000 x) (*.f64 (log.f64 x) (+.f64 -1/2 x)))
(+.f64 (+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x))) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (-.f64 (*.f64 -1/2 (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(-.f64 (+.f64 91893853320467/100000000000000 (.f64 83333333333333/1000000000000000 (/.f64 1 x))) (.f64 1/2 (log.f64 x)))
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(+.f64 91893853320467/100000000000000 (.f64 -1 (.f64 (+.f64 1 (log.f64 (/.f64 1 x))) x)))
(-.f64 (-.f64 (+.f64 (/.f64 83333333333333/1000000000000000 x) 91893853320467/100000000000000) (*.f64 (log.f64 x) (-.f64 1/2 x))) x)
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
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(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 y (/.f64 (*.f64 z z) x)))
(+.f64 (-.f64 (.f64 x (log.f64 x)) x) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x)))
(+.f64 (-.f64 (.f64 x (log.f64 x)) x) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 z (*.f64 z (/.f64 (+.f64 7936500793651/10000000000000000 y) x))))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 83333333333333/1000000000000000 x) (.f64 (/.f64 z x) (*.f64 z (+.f64 y 7936500793651/10000000000000000)))))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x)))
(+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 (/.f64 1 x))) 1) x) (/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(pow.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) 2)
(pow.f64 (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)) 3)
(pow.f64 (sqrt.f64 (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))) 2)
(pow.f64 (cbrt.f64 (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))) 3)
(+.f64 91893853320467/100000000000000 (-.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 (log.f64 x) (-.f64 1/2 x) x)))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (pow.f64 (.f64 x 1000000000000000/83333333333333) -1))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (sqrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (.f64 x x))))
(+.f64 (+.f64 (-.f64 (/.f64 (*.f64 (fma.f64 x x -1/4) (log.f64 x)) (+.f64 x 1/2)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 91893853320467/100000000000000 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) (.f64 z (/.f64 z x))) (fma.f64 (log.f64 x) (-.f64 1/2 x) x)))
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000) (/.f64 x z))))
(+.f64 (-.f64 (.f64 x (log.f64 x)) x) (+.f64 (/.f64 83333333333333/1000000000000000 x) (.f64 (/.f64 1 x) (/.f64 (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000) (/.f64 1 z)))))

Outputs

(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))

(+.f64 91893853320467/100000000000000 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 z (/.f64 z x))) (fma.f64 (log.f64 x) (-.f64 1/2 x) x)))

Calls

11 calls:

74.0ms	(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)
65.0ms	(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)
50.0ms	x
30.0ms	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
28.0ms	y

Results

Error	Segments	Branch
0.3b	2	`x`
1.7b	1	`y`
1.7b	1	`z`
1.7b	1	`(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))`
1.7b	1	`(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))`
0.3b	3	`(+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000)`
0.3b	3	`(+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000)`
0.3b	3	`(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)`
0.3b	3	`(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)`
1.7b	1	`(+.f64 y 7936500793651/10000000000000000)`
1.7b	1	`(+.f64 y 7936500793651/10000000000000000)`

Compiler

Compiled 774 to 526 computations (32% saved)

bsearch34.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
33.0ms	1498268.3317180444	32974778.59634905

Compiler

Compiled 84 to 62 computations (26.2% saved)

regimes239.0ms (1.3%)

Counts

46 → 2

Calls

Call 1

Inputs
91893853320467/100000000000000
91893853320467/100000000000000
(/.f64 83333333333333/1000000000000000 x)
(+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))
(+.f64 (neg.f64 x) (/.f64 83333333333333/1000000000000000 x))
(+.f64 91893853320467/100000000000000 (/.f64 (/.f64 1 x) 1000000000000000/83333333333333))
(+.f64 91893853320467/100000000000000 (/.f64 1 (*.f64 x 1000000000000000/83333333333333)))
(+.f64 91893853320467/100000000000000 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)))
(-.f64 (+.f64 1 (+.f64 (/.f64 83333333333333/1000000000000000 x) 91893853320467/100000000000000)) 1)
(-.f64 (+.f64 1 (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))) 1)
(/.f64 (-.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)) 8444480278083503881401098089/10000000000000000000000000000) (-.f64 (/.f64 83333333333333/1000000000000000 x) 91893853320467/100000000000000))
(/.f64 1 (/.f64 (-.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x)) (-.f64 8444480278083503881401098089/10000000000000000000000000000 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)))))
(.f64 (-.f64 8444480278083503881401098089/10000000000000000000000000000 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (.f64 x x))) (/.f64 1 (-.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))))
(+.f64 (neg.f64 x) (/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(-.f64 91893853320467/100000000000000 (*.f64 1/2 (log.f64 x)))
(+.f64 91893853320467/100000000000000 (pow.f64 (*.f64 x 1000000000000000/83333333333333) -1))
(-.f64 (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x)) (*.f64 1/2 (log.f64 x)))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 91893853320467/100000000000000 (-.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 1/2 (log.f64 x))))
(+.f64 (-.f64 91893853320467/100000000000000 x) (*.f64 (log.f64 x) (+.f64 -1/2 x)))
(+.f64 (+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x))) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (-.f64 (*.f64 -1/2 (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(-.f64 (+.f64 91893853320467/100000000000000 (.f64 83333333333333/1000000000000000 (/.f64 1 x))) (.f64 1/2 (log.f64 x)))
(+.f64 (+.f64 (-.f64 (*.f64 -1/2 (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 91893853320467/100000000000000 (.f64 -1 (.f64 (+.f64 1 (log.f64 (/.f64 1 x))) x)))
(-.f64 (-.f64 (+.f64 (/.f64 83333333333333/1000000000000000 x) 91893853320467/100000000000000) (*.f64 (log.f64 x) (-.f64 1/2 x))) x)
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (-.f64 (.f64 x (log.f64 x)) x) (.f64 z (*.f64 z (/.f64 (+.f64 7936500793651/10000000000000000 y) x))))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 (/.f64 z x) (*.f64 z 7936500793651/10000000000000000)))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 y (/.f64 (*.f64 z z) x)))
(+.f64 (-.f64 (.f64 x (log.f64 x)) x) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x)))
(+.f64 (-.f64 (.f64 x (log.f64 x)) x) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 z (*.f64 z (/.f64 (+.f64 7936500793651/10000000000000000 y) x))))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 83333333333333/1000000000000000 x) (.f64 (/.f64 z x) (*.f64 z (+.f64 y 7936500793651/10000000000000000)))))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x)))
(+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 (/.f64 1 x))) 1) x) (/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(pow.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) 2)
(pow.f64 (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)) 3)
(pow.f64 (sqrt.f64 (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))) 2)
(pow.f64 (cbrt.f64 (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))) 3)
(+.f64 91893853320467/100000000000000 (-.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 (log.f64 x) (-.f64 1/2 x) x)))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (pow.f64 (.f64 x 1000000000000000/83333333333333) -1))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (sqrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (.f64 x x))))
(+.f64 (+.f64 (-.f64 (/.f64 (*.f64 (fma.f64 x x -1/4) (log.f64 x)) (+.f64 x 1/2)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))

Outputs

(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))

(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (*.f64 z (*.f64 z (/.f64 (+.f64 7936500793651/10000000000000000 y) x))))

Calls

10 calls:

41.0ms	x
28.0ms	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
25.0ms	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
23.0ms	(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)
23.0ms	z

Results

Error	Segments	Branch
0.3b	2	`x`
1.7b	1	`y`
1.7b	1	`z`
1.7b	1	`(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))`
1.7b	1	`(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))`
1.7b	1	`(+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000)`
1.7b	1	`(+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000)`
1.7b	1	`(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)`
1.7b	1	`(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)`
1.7b	1	`(+.f64 y 7936500793651/10000000000000000)`

Compiler

Compiled 703 to 487 computations (30.7% saved)

bsearch34.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
34.0ms	1498268.3317180444	32974778.59634905

Compiler

Compiled 85 to 63 computations (25.9% saved)

regimes231.0ms (1.3%)

Counts

37 → 3

Calls

Call 1

Inputs
91893853320467/100000000000000
91893853320467/100000000000000
(/.f64 83333333333333/1000000000000000 x)
(+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))
(+.f64 (neg.f64 x) (/.f64 83333333333333/1000000000000000 x))
(+.f64 91893853320467/100000000000000 (/.f64 (/.f64 1 x) 1000000000000000/83333333333333))
(+.f64 91893853320467/100000000000000 (/.f64 1 (*.f64 x 1000000000000000/83333333333333)))
(+.f64 91893853320467/100000000000000 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)))
(-.f64 (+.f64 1 (+.f64 (/.f64 83333333333333/1000000000000000 x) 91893853320467/100000000000000)) 1)
(-.f64 (+.f64 1 (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))) 1)
(/.f64 (-.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)) 8444480278083503881401098089/10000000000000000000000000000) (-.f64 (/.f64 83333333333333/1000000000000000 x) 91893853320467/100000000000000))
(/.f64 1 (/.f64 (-.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x)) (-.f64 8444480278083503881401098089/10000000000000000000000000000 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)))))
(.f64 (-.f64 8444480278083503881401098089/10000000000000000000000000000 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (.f64 x x))) (/.f64 1 (-.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))))
(+.f64 (neg.f64 x) (/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(-.f64 91893853320467/100000000000000 (*.f64 1/2 (log.f64 x)))
(+.f64 91893853320467/100000000000000 (pow.f64 (*.f64 x 1000000000000000/83333333333333) -1))
(-.f64 (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x)) (*.f64 1/2 (log.f64 x)))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 91893853320467/100000000000000 (-.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 1/2 (log.f64 x))))
(+.f64 (-.f64 91893853320467/100000000000000 x) (*.f64 (log.f64 x) (+.f64 -1/2 x)))
(+.f64 (+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x))) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (-.f64 (*.f64 -1/2 (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(-.f64 (+.f64 91893853320467/100000000000000 (.f64 83333333333333/1000000000000000 (/.f64 1 x))) (.f64 1/2 (log.f64 x)))
(+.f64 (+.f64 (-.f64 (*.f64 -1/2 (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 91893853320467/100000000000000 (.f64 -1 (.f64 (+.f64 1 (log.f64 (/.f64 1 x))) x)))
(-.f64 (-.f64 (+.f64 (/.f64 83333333333333/1000000000000000 x) 91893853320467/100000000000000) (*.f64 (log.f64 x) (-.f64 1/2 x))) x)
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (-.f64 (.f64 x (log.f64 x)) x) (.f64 z (*.f64 z (/.f64 (+.f64 7936500793651/10000000000000000 y) x))))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 (/.f64 z x) (*.f64 z 7936500793651/10000000000000000)))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 y (/.f64 (*.f64 z z) x)))
(+.f64 (-.f64 (.f64 x (log.f64 x)) x) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x)))
(+.f64 (-.f64 (.f64 x (log.f64 x)) x) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 z (*.f64 z (/.f64 (+.f64 7936500793651/10000000000000000 y) x))))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 83333333333333/1000000000000000 x) (.f64 (/.f64 z x) (*.f64 z (+.f64 y 7936500793651/10000000000000000)))))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x)))
(+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 (/.f64 1 x))) 1) x) (/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))

Outputs

(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (*.f64 z (*.f64 z (/.f64 (+.f64 7936500793651/10000000000000000 y) x))))

(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (*.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x)))

(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (*.f64 z (*.f64 z (/.f64 (+.f64 7936500793651/10000000000000000 y) x))))

Calls

8 calls:

57.0ms	(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)
55.0ms	(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)
22.0ms	z
20.0ms	x
20.0ms	y

Results

Error	Segments	Branch
1.7b	1	`x`
1.7b	1	`y`
1.7b	1	`z`
0.4b	3	`(+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000)`
0.4b	3	`(+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000)`
0.4b	3	`(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)`
0.4b	3	`(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)`
1.7b	1	`(+.f64 y 7936500793651/10000000000000000)`

Compiler

Compiled 532 to 366 computations (31.2% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	957529717848149000.0	4295225647766942700.0
0.0ms	-1.3686984991299823e+64	-1.0966886427795589e+52

Compiler

Compiled 33 to 25 computations (24.2% saved)

regimes127.0ms (0.7%)

Counts

35 → 1

Calls

Call 1

Inputs
91893853320467/100000000000000
91893853320467/100000000000000
(/.f64 83333333333333/1000000000000000 x)
(+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))
(+.f64 (neg.f64 x) (/.f64 83333333333333/1000000000000000 x))
(+.f64 91893853320467/100000000000000 (/.f64 (/.f64 1 x) 1000000000000000/83333333333333))
(+.f64 91893853320467/100000000000000 (/.f64 1 (*.f64 x 1000000000000000/83333333333333)))
(+.f64 91893853320467/100000000000000 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)))
(-.f64 (+.f64 1 (+.f64 (/.f64 83333333333333/1000000000000000 x) 91893853320467/100000000000000)) 1)
(-.f64 (+.f64 1 (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))) 1)
(/.f64 (-.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)) 8444480278083503881401098089/10000000000000000000000000000) (-.f64 (/.f64 83333333333333/1000000000000000 x) 91893853320467/100000000000000))
(/.f64 1 (/.f64 (-.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x)) (-.f64 8444480278083503881401098089/10000000000000000000000000000 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)))))
(.f64 (-.f64 8444480278083503881401098089/10000000000000000000000000000 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (.f64 x x))) (/.f64 1 (-.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))))
(+.f64 (neg.f64 x) (/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(-.f64 91893853320467/100000000000000 (*.f64 1/2 (log.f64 x)))
(+.f64 91893853320467/100000000000000 (pow.f64 (*.f64 x 1000000000000000/83333333333333) -1))
(-.f64 (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x)) (*.f64 1/2 (log.f64 x)))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 91893853320467/100000000000000 (-.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 1/2 (log.f64 x))))
(+.f64 (-.f64 91893853320467/100000000000000 x) (*.f64 (log.f64 x) (+.f64 -1/2 x)))
(+.f64 (+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x))) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (-.f64 (*.f64 -1/2 (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(-.f64 (+.f64 91893853320467/100000000000000 (.f64 83333333333333/1000000000000000 (/.f64 1 x))) (.f64 1/2 (log.f64 x)))
(+.f64 (+.f64 (-.f64 (*.f64 -1/2 (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 91893853320467/100000000000000 (.f64 -1 (.f64 (+.f64 1 (log.f64 (/.f64 1 x))) x)))
(-.f64 (-.f64 (+.f64 (/.f64 83333333333333/1000000000000000 x) 91893853320467/100000000000000) (*.f64 (log.f64 x) (-.f64 1/2 x))) x)
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (-.f64 (.f64 x (log.f64 x)) x) (.f64 z (*.f64 z (/.f64 (+.f64 7936500793651/10000000000000000 y) x))))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 (/.f64 z x) (*.f64 z 7936500793651/10000000000000000)))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 y (/.f64 (*.f64 z z) x)))
(+.f64 (-.f64 (.f64 x (log.f64 x)) x) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x)))
(+.f64 (-.f64 (.f64 x (log.f64 x)) x) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 z (*.f64 z (/.f64 (+.f64 7936500793651/10000000000000000 y) x))))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 83333333333333/1000000000000000 x) (.f64 (/.f64 z x) (*.f64 z (+.f64 y 7936500793651/10000000000000000)))))

Outputs

(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 (/.f64 z x) (*.f64 z (+.f64 y 7936500793651/10000000000000000)))))

Calls

8 calls:

18.0ms	y
18.0ms	(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)
17.0ms	z
17.0ms	x
17.0ms	(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)

Results

Error	Segments	Branch
1.7b	1	`x`
1.7b	1	`y`
1.7b	1	`z`
1.7b	1	`(+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000)`
1.7b	1	`(+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000)`
1.7b	1	`(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)`
1.7b	1	`(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)`
1.7b	1	`(+.f64 y 7936500793651/10000000000000000)`

Compiler

Compiled 484 to 332 computations (31.4% saved)

regimes388.0ms (2.2%)

Counts

34 → 4

Calls

Call 1

Inputs
91893853320467/100000000000000
91893853320467/100000000000000
(/.f64 83333333333333/1000000000000000 x)
(+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))
(+.f64 (neg.f64 x) (/.f64 83333333333333/1000000000000000 x))
(+.f64 91893853320467/100000000000000 (/.f64 (/.f64 1 x) 1000000000000000/83333333333333))
(+.f64 91893853320467/100000000000000 (/.f64 1 (*.f64 x 1000000000000000/83333333333333)))
(+.f64 91893853320467/100000000000000 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)))
(-.f64 (+.f64 1 (+.f64 (/.f64 83333333333333/1000000000000000 x) 91893853320467/100000000000000)) 1)
(-.f64 (+.f64 1 (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))) 1)
(/.f64 (-.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)) 8444480278083503881401098089/10000000000000000000000000000) (-.f64 (/.f64 83333333333333/1000000000000000 x) 91893853320467/100000000000000))
(/.f64 1 (/.f64 (-.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x)) (-.f64 8444480278083503881401098089/10000000000000000000000000000 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)))))
(.f64 (-.f64 8444480278083503881401098089/10000000000000000000000000000 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (.f64 x x))) (/.f64 1 (-.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))))
(+.f64 (neg.f64 x) (/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(-.f64 91893853320467/100000000000000 (*.f64 1/2 (log.f64 x)))
(+.f64 91893853320467/100000000000000 (pow.f64 (*.f64 x 1000000000000000/83333333333333) -1))
(-.f64 (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x)) (*.f64 1/2 (log.f64 x)))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 91893853320467/100000000000000 (-.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 1/2 (log.f64 x))))
(+.f64 (-.f64 91893853320467/100000000000000 x) (*.f64 (log.f64 x) (+.f64 -1/2 x)))
(+.f64 (+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x))) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (-.f64 (*.f64 -1/2 (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(-.f64 (+.f64 91893853320467/100000000000000 (.f64 83333333333333/1000000000000000 (/.f64 1 x))) (.f64 1/2 (log.f64 x)))
(+.f64 (+.f64 (-.f64 (*.f64 -1/2 (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 91893853320467/100000000000000 (.f64 -1 (.f64 (+.f64 1 (log.f64 (/.f64 1 x))) x)))
(-.f64 (-.f64 (+.f64 (/.f64 83333333333333/1000000000000000 x) 91893853320467/100000000000000) (*.f64 (log.f64 x) (-.f64 1/2 x))) x)
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (-.f64 (.f64 x (log.f64 x)) x) (.f64 z (*.f64 z (/.f64 (+.f64 7936500793651/10000000000000000 y) x))))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 (/.f64 z x) (*.f64 z 7936500793651/10000000000000000)))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 y (/.f64 (*.f64 z z) x)))
(+.f64 (-.f64 (.f64 x (log.f64 x)) x) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x)))
(+.f64 (-.f64 (.f64 x (log.f64 x)) x) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 z (*.f64 z (/.f64 (+.f64 7936500793651/10000000000000000 y) x))))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))

Outputs
(+.f64 (-.f64 (.f64 x (log.f64 x)) x) (.f64 z (*.f64 z (/.f64 (+.f64 7936500793651/10000000000000000 y) x))))
(-.f64 (-.f64 (+.f64 (/.f64 83333333333333/1000000000000000 x) 91893853320467/100000000000000) (*.f64 (log.f64 x) (-.f64 1/2 x))) x)
(+.f64 (-.f64 (.f64 x (log.f64 x)) x) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (-.f64 (.f64 x (log.f64 x)) x) (.f64 z (*.f64 z (/.f64 (+.f64 7936500793651/10000000000000000 y) x))))

Calls

8 calls:

169.0ms	(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)
61.0ms	(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)
46.0ms	z
33.0ms	x
20.0ms	y

Results

Error	Segments	Branch
0.8b	2	`x`
5.6b	1	`y`
1.2b	3	`z`
0.3b	4	`(+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000)`
0.3b	4	`(+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000)`
0.3b	4	`(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)`
0.3b	4	`(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)`
5.6b	1	`(+.f64 y 7936500793651/10000000000000000)`

Compiler

Compiled 460 to 318 computations (30.9% saved)

bsearch1.0ms (0%)

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	4.336310207694386e+166	7.154096043764161e+174
0.0ms	1.007705574937768e-68	3.003880934039289e-67
0.0ms	-1.3686984991299823e+64	-1.0966886427795589e+52

Compiler

Compiled 33 to 25 computations (24.2% saved)

regimes348.0ms (1.9%)

Counts

31 → 2

Calls

Call 1

Inputs
91893853320467/100000000000000
91893853320467/100000000000000
(/.f64 83333333333333/1000000000000000 x)
(+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))
(+.f64 (neg.f64 x) (/.f64 83333333333333/1000000000000000 x))
(+.f64 91893853320467/100000000000000 (/.f64 (/.f64 1 x) 1000000000000000/83333333333333))
(+.f64 91893853320467/100000000000000 (/.f64 1 (*.f64 x 1000000000000000/83333333333333)))
(+.f64 91893853320467/100000000000000 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)))
(-.f64 (+.f64 1 (+.f64 (/.f64 83333333333333/1000000000000000 x) 91893853320467/100000000000000)) 1)
(-.f64 (+.f64 1 (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))) 1)
(/.f64 (-.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)) 8444480278083503881401098089/10000000000000000000000000000) (-.f64 (/.f64 83333333333333/1000000000000000 x) 91893853320467/100000000000000))
(/.f64 1 (/.f64 (-.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x)) (-.f64 8444480278083503881401098089/10000000000000000000000000000 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)))))
(.f64 (-.f64 8444480278083503881401098089/10000000000000000000000000000 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (.f64 x x))) (/.f64 1 (-.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))))
(+.f64 (neg.f64 x) (/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(-.f64 91893853320467/100000000000000 (*.f64 1/2 (log.f64 x)))
(+.f64 91893853320467/100000000000000 (pow.f64 (*.f64 x 1000000000000000/83333333333333) -1))
(-.f64 (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x)) (*.f64 1/2 (log.f64 x)))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 91893853320467/100000000000000 (-.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 1/2 (log.f64 x))))
(+.f64 (-.f64 91893853320467/100000000000000 x) (*.f64 (log.f64 x) (+.f64 -1/2 x)))
(+.f64 (+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x))) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (-.f64 (*.f64 -1/2 (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(-.f64 (+.f64 91893853320467/100000000000000 (.f64 83333333333333/1000000000000000 (/.f64 1 x))) (.f64 1/2 (log.f64 x)))
(+.f64 (+.f64 (-.f64 (*.f64 -1/2 (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 91893853320467/100000000000000 (.f64 -1 (.f64 (+.f64 1 (log.f64 (/.f64 1 x))) x)))
(-.f64 (-.f64 (+.f64 (/.f64 83333333333333/1000000000000000 x) 91893853320467/100000000000000) (*.f64 (log.f64 x) (-.f64 1/2 x))) x)
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (-.f64 (.f64 x (log.f64 x)) x) (.f64 z (*.f64 z (/.f64 (+.f64 7936500793651/10000000000000000 y) x))))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 (/.f64 z x) (*.f64 z 7936500793651/10000000000000000)))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 y (/.f64 (*.f64 z z) x)))
(+.f64 (-.f64 (.f64 x (log.f64 x)) x) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x)))

Outputs

(+.f64 (neg.f64 x) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))

(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (*.f64 z (*.f64 z (/.f64 (+.f64 7936500793651/10000000000000000 y) x))))

Calls

8 calls:

88.0ms	x
84.0ms	z
48.0ms	(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)
42.0ms	(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)
31.0ms	y

Results

Error	Segments	Branch
1.1b	2	`x`
7.6b	1	`y`
2.0b	3	`z`
1.2b	3	`(+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000)`
1.2b	3	`(+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000)`
1.2b	3	`(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)`
1.2b	3	`(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)`
7.6b	1	`(+.f64 y 7936500793651/10000000000000000)`

Compiler

Compiled 398 to 282 computations (29.1% saved)

bsearch51.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
51.0ms	2.3980098366627392e-5	0.008291364060845222

Compiler

Compiled 73 to 53 computations (27.4% saved)

regimes209.0ms (1.2%)

Counts

27 → 2

Calls

Call 1

Inputs
91893853320467/100000000000000
91893853320467/100000000000000
(/.f64 83333333333333/1000000000000000 x)
(+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))
(+.f64 (neg.f64 x) (/.f64 83333333333333/1000000000000000 x))
(+.f64 91893853320467/100000000000000 (/.f64 (/.f64 1 x) 1000000000000000/83333333333333))
(+.f64 91893853320467/100000000000000 (/.f64 1 (*.f64 x 1000000000000000/83333333333333)))
(+.f64 91893853320467/100000000000000 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)))
(-.f64 (+.f64 1 (+.f64 (/.f64 83333333333333/1000000000000000 x) 91893853320467/100000000000000)) 1)
(-.f64 (+.f64 1 (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))) 1)
(/.f64 (-.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)) 8444480278083503881401098089/10000000000000000000000000000) (-.f64 (/.f64 83333333333333/1000000000000000 x) 91893853320467/100000000000000))
(/.f64 1 (/.f64 (-.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x)) (-.f64 8444480278083503881401098089/10000000000000000000000000000 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)))))
(.f64 (-.f64 8444480278083503881401098089/10000000000000000000000000000 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (.f64 x x))) (/.f64 1 (-.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))))
(+.f64 (neg.f64 x) (/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(-.f64 91893853320467/100000000000000 (*.f64 1/2 (log.f64 x)))
(+.f64 91893853320467/100000000000000 (pow.f64 (*.f64 x 1000000000000000/83333333333333) -1))
(-.f64 (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x)) (*.f64 1/2 (log.f64 x)))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 91893853320467/100000000000000 (-.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 1/2 (log.f64 x))))
(+.f64 (-.f64 91893853320467/100000000000000 x) (*.f64 (log.f64 x) (+.f64 -1/2 x)))
(+.f64 (+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x))) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (-.f64 (*.f64 -1/2 (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(-.f64 (+.f64 91893853320467/100000000000000 (.f64 83333333333333/1000000000000000 (/.f64 1 x))) (.f64 1/2 (log.f64 x)))
(+.f64 (+.f64 (-.f64 (*.f64 -1/2 (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 91893853320467/100000000000000 (.f64 -1 (.f64 (+.f64 1 (log.f64 (/.f64 1 x))) x)))
(-.f64 (-.f64 (+.f64 (/.f64 83333333333333/1000000000000000 x) 91893853320467/100000000000000) (*.f64 (log.f64 x) (-.f64 1/2 x))) x)
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))

Outputs

(+.f64 (neg.f64 x) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))

(-.f64 (-.f64 (+.f64 (/.f64 83333333333333/1000000000000000 x) 91893853320467/100000000000000) (*.f64 (log.f64 x) (-.f64 1/2 x))) x)

Calls

6 calls:

79.0ms	x
49.0ms	z
30.0ms	y
17.0ms	(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)
14.0ms	(+.f64 y 7936500793651/10000000000000000)

Results

Error	Segments	Branch
3.3b	2	`x`
9.4b	1	`y`
7.6b	3	`z`
9.4b	1	`(+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000)`
9.4b	1	`(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)`
9.4b	1	`(+.f64 y 7936500793651/10000000000000000)`

Compiler

Compiled 300 to 223 computations (25.7% saved)

bsearch310.0ms (1.7%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
309.0ms	0.008291364060845222	30796.782879511295

Compiler

Compiled 375 to 286 computations (23.7% saved)

regimes364.0ms (2%)

Counts

25 → 2

Calls

Call 1

Inputs
91893853320467/100000000000000
91893853320467/100000000000000
(/.f64 83333333333333/1000000000000000 x)
(+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))
(+.f64 (neg.f64 x) (/.f64 83333333333333/1000000000000000 x))
(+.f64 91893853320467/100000000000000 (/.f64 (/.f64 1 x) 1000000000000000/83333333333333))
(+.f64 91893853320467/100000000000000 (/.f64 1 (*.f64 x 1000000000000000/83333333333333)))
(+.f64 91893853320467/100000000000000 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)))
(-.f64 (+.f64 1 (+.f64 (/.f64 83333333333333/1000000000000000 x) 91893853320467/100000000000000)) 1)
(-.f64 (+.f64 1 (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))) 1)
(/.f64 (-.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)) 8444480278083503881401098089/10000000000000000000000000000) (-.f64 (/.f64 83333333333333/1000000000000000 x) 91893853320467/100000000000000))
(/.f64 1 (/.f64 (-.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x)) (-.f64 8444480278083503881401098089/10000000000000000000000000000 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)))))
(.f64 (-.f64 8444480278083503881401098089/10000000000000000000000000000 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (.f64 x x))) (/.f64 1 (-.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))))
(+.f64 (neg.f64 x) (/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(-.f64 91893853320467/100000000000000 (*.f64 1/2 (log.f64 x)))
(+.f64 91893853320467/100000000000000 (pow.f64 (*.f64 x 1000000000000000/83333333333333) -1))
(-.f64 (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x)) (*.f64 1/2 (log.f64 x)))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 91893853320467/100000000000000 (-.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 1/2 (log.f64 x))))
(+.f64 (-.f64 91893853320467/100000000000000 x) (*.f64 (log.f64 x) (+.f64 -1/2 x)))
(+.f64 (+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x))) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (-.f64 (*.f64 -1/2 (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(-.f64 (+.f64 91893853320467/100000000000000 (.f64 83333333333333/1000000000000000 (/.f64 1 x))) (.f64 1/2 (log.f64 x)))
(+.f64 (+.f64 (-.f64 (*.f64 -1/2 (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 91893853320467/100000000000000 (.f64 -1 (.f64 (+.f64 1 (log.f64 (/.f64 1 x))) x)))

Outputs

(+.f64 (neg.f64 x) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))

(+.f64 (-.f64 91893853320467/100000000000000 x) (*.f64 (log.f64 x) (+.f64 -1/2 x)))

Calls

6 calls:

126.0ms	y
99.0ms	z
53.0ms	(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)
36.0ms	(+.f64 y 7936500793651/10000000000000000)
33.0ms	x

Results

Error	Segments	Branch
3.4b	2	`x`
20.5b	12	`y`
21.5b	9	`z`
29.1b	1	`(+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000)`
24.8b	4	`(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)`
25.4b	6	`(+.f64 y 7936500793651/10000000000000000)`

Compiler

Compiled 272 to 205 computations (24.6% saved)

bsearch285.0ms (1.6%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
285.0ms	0.008291364060845222	30796.782879511295

Compiler

Compiled 339 to 259 computations (23.6% saved)

regimes129.0ms (0.7%)

Counts

19 → 2

Calls

Call 1

Inputs
91893853320467/100000000000000
91893853320467/100000000000000
(/.f64 83333333333333/1000000000000000 x)
(+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))
(+.f64 (neg.f64 x) (/.f64 83333333333333/1000000000000000 x))
(+.f64 91893853320467/100000000000000 (/.f64 (/.f64 1 x) 1000000000000000/83333333333333))
(+.f64 91893853320467/100000000000000 (/.f64 1 (*.f64 x 1000000000000000/83333333333333)))
(+.f64 91893853320467/100000000000000 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)))
(-.f64 (+.f64 1 (+.f64 (/.f64 83333333333333/1000000000000000 x) 91893853320467/100000000000000)) 1)
(-.f64 (+.f64 1 (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))) 1)
(/.f64 (-.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)) 8444480278083503881401098089/10000000000000000000000000000) (-.f64 (/.f64 83333333333333/1000000000000000 x) 91893853320467/100000000000000))
(/.f64 1 (/.f64 (-.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x)) (-.f64 8444480278083503881401098089/10000000000000000000000000000 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)))))
(.f64 (-.f64 8444480278083503881401098089/10000000000000000000000000000 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (.f64 x x))) (/.f64 1 (-.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))))
(+.f64 (neg.f64 x) (/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(-.f64 91893853320467/100000000000000 (*.f64 1/2 (log.f64 x)))
(+.f64 91893853320467/100000000000000 (pow.f64 (*.f64 x 1000000000000000/83333333333333) -1))
(-.f64 (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x)) (*.f64 1/2 (log.f64 x)))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 91893853320467/100000000000000 (-.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 1/2 (log.f64 x))))

Outputs

(+.f64 (neg.f64 x) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))

(/.f64 (-.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)) 8444480278083503881401098089/10000000000000000000000000000) (-.f64 (/.f64 83333333333333/1000000000000000 x) 91893853320467/100000000000000))

Calls

6 calls:

36.0ms	x
27.0ms	(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)
27.0ms	z
11.0ms	y
9.0ms	(+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000)

Results

Error	Segments	Branch
34.6b	2	`x`
35.8b	1	`y`
34.8b	3	`z`
34.8b	3	`(+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000)`
34.8b	3	`(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)`
35.8b	1	`(+.f64 y 7936500793651/10000000000000000)`

Compiler

Compiled 204 to 157 computations (23% saved)

bsearch63.0ms (0.4%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
62.0ms	6.399725331751314e+58	6.143821044357228e+59

Compiler

Compiled 33 to 25 computations (24.2% saved)

regimes57.0ms (0.3%)

Counts

13 → 1

Calls

Call 1

Inputs
91893853320467/100000000000000
91893853320467/100000000000000
(/.f64 83333333333333/1000000000000000 x)
(+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))
(+.f64 (neg.f64 x) (/.f64 83333333333333/1000000000000000 x))
(+.f64 91893853320467/100000000000000 (/.f64 (/.f64 1 x) 1000000000000000/83333333333333))
(+.f64 91893853320467/100000000000000 (/.f64 1 (*.f64 x 1000000000000000/83333333333333)))
(+.f64 91893853320467/100000000000000 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)))
(-.f64 (+.f64 1 (+.f64 (/.f64 83333333333333/1000000000000000 x) 91893853320467/100000000000000)) 1)
(-.f64 (+.f64 1 (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))) 1)
(/.f64 (-.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)) 8444480278083503881401098089/10000000000000000000000000000) (-.f64 (/.f64 83333333333333/1000000000000000 x) 91893853320467/100000000000000))
(/.f64 1 (/.f64 (-.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x)) (-.f64 8444480278083503881401098089/10000000000000000000000000000 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)))))
(.f64 (-.f64 8444480278083503881401098089/10000000000000000000000000000 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (.f64 x x))) (/.f64 1 (-.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))))

Outputs
(+.f64 91893853320467/100000000000000 (/.f64 1 (*.f64 x 1000000000000000/83333333333333)))

Calls

3 calls:

17.0ms	y
16.0ms	z
15.0ms	x

Results

Error	Segments	Branch
41.7b	1	`x`
41.7b	1	`y`
41.7b	1	`z`

Compiler

Compiled 113 to 90 computations (20.4% saved)

regimes37.0ms (0.2%)

Counts

6 → 1

Calls

Call 1

Inputs
91893853320467/100000000000000
91893853320467/100000000000000
(/.f64 83333333333333/1000000000000000 x)
(+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))
(+.f64 (neg.f64 x) (/.f64 83333333333333/1000000000000000 x))
(+.f64 91893853320467/100000000000000 (/.f64 (/.f64 1 x) 1000000000000000/83333333333333))

Outputs
(+.f64 91893853320467/100000000000000 (/.f64 (/.f64 1 x) 1000000000000000/83333333333333))

Calls

3 calls:

11.0ms	x
11.0ms	z
10.0ms	y

Results

Error	Segments	Branch
41.7b	1	`x`
41.7b	1	`y`
41.7b	1	`z`

Compiler

Compiled 38 to 30 computations (21.1% saved)

regimes38.0ms (0.2%)

Counts

5 → 1

Calls

Call 1

Inputs
91893853320467/100000000000000
91893853320467/100000000000000
(/.f64 83333333333333/1000000000000000 x)
(+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))
(+.f64 (neg.f64 x) (/.f64 83333333333333/1000000000000000 x))

Outputs
(+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))

Calls

3 calls:

15.0ms	y
9.0ms	z
9.0ms	x

Results

Error	Segments	Branch
41.7b	1	`x`
41.7b	1	`y`
41.7b	1	`z`

Compiler

Compiled 31 to 24 computations (22.6% saved)

regimes27.0ms (0.1%)

Counts

3 → 1

Calls

Call 1

Inputs
91893853320467/100000000000000
91893853320467/100000000000000
(/.f64 83333333333333/1000000000000000 x)

Outputs
(/.f64 83333333333333/1000000000000000 x)

Calls

3 calls:

9.0ms	z
8.0ms	y
8.0ms	x

Results

Error	Segments	Branch
42.2b	1	`x`
42.2b	1	`y`
42.2b	1	`z`

Compiler

Compiled 20 to 16 computations (20% saved)

regimes24.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0.0b (-0%)

Counts

2 → 1

Calls

Call 1

Inputs
91893853320467/100000000000000
91893853320467/100000000000000

Outputs
91893853320467/100000000000000

Calls

3 calls:

8.0ms	z
7.0ms	y
7.0ms	x

Results

Error	Segments	Branch
61.0b	1	`x`
61.0b	1	`y`
61.0b	1	`z`

Compiler

Compiled 17 to 14 computations (17.6% saved)

simplify108.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

54×	`cancel-sign-sub-inv_binary64`
43×	`+-commutative_binary64`
41×	`distribute-rgt-neg-in_binary64`
28×	`sub-neg_binary64`
28×	`neg-sub0_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	109	719
1	173	711
2	198	711
3	210	711
4	231	711
5	272	711
6	313	711
7	358	711
8	409	711
9	448	711
10	479	711
11	507	711
12	521	711

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000) (/.f64 x z))))
(if (<=.f64 x 10000000) (+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) (+.f64 91893853320467/100000000000000 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 z (/.f64 z x))) (fma.f64 (log.f64 x) (-.f64 1/2 x) x))))
(if (<=.f64 x 10000000) (+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) (+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 z (.f64 z (/.f64 (+.f64 7936500793651/10000000000000000 y) x)))))
(if (<=.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) -10000000000000000213204190094543968723012578712679649467743338496) (+.f64 (-.f64 (.f64 x (log.f64 x)) x) (.f64 z (.f64 z (/.f64 (+.f64 7936500793651/10000000000000000 y) x)))) (if (<=.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 1000000000000000000) (+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (.f64 (-.f64 (.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x))) (+.f64 (-.f64 (.f64 x (log.f64 x)) x) (.f64 z (*.f64 z (/.f64 (+.f64 7936500793651/10000000000000000 y) x))))))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 83333333333333/1000000000000000 x) (.f64 (/.f64 z x) (*.f64 z (+.f64 y 7936500793651/10000000000000000)))))
(if (<=.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) -10000000000000000213204190094543968723012578712679649467743338496) (+.f64 (-.f64 (.f64 x (log.f64 x)) x) (.f64 z (.f64 z (/.f64 (+.f64 7936500793651/10000000000000000 y) x)))) (if (<=.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 4856672230564323/242833611528216133864932738352939863330300854881517440156476551217363035650651062272) (-.f64 (-.f64 (+.f64 (/.f64 83333333333333/1000000000000000 x) 91893853320467/100000000000000) (.f64 (log.f64 x) (-.f64 1/2 x))) x) (if (<=.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 50000000000000001930449714370975720139701025745675219477211914784288695508246371335098695877271585171777875451431577515195663644768354254411583398686815316200363393024) (+.f64 (-.f64 (.f64 x (log.f64 x)) x) (/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) (+.f64 (-.f64 (.f64 x (log.f64 x)) x) (.f64 z (.f64 z (/.f64 (+.f64 7936500793651/10000000000000000 y) x)))))))
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(if (<=.f64 x 63997253317513140712499522020872333389659624056871802896384) (+.f64 (neg.f64 x) (/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) (/.f64 (-.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)) 8444480278083503881401098089/10000000000000000000000000000) (-.f64 (/.f64 83333333333333/1000000000000000 x) 91893853320467/100000000000000)))
(+.f64 91893853320467/100000000000000 (/.f64 1 (*.f64 x 1000000000000000/83333333333333)))
(+.f64 91893853320467/100000000000000 (/.f64 (/.f64 1 x) 1000000000000000/83333333333333))
(+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))
(/.f64 83333333333333/1000000000000000 x)
91893853320467/100000000000000

Outputs
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(+.f64 91893853320467/100000000000000 (/.f64 1 (*.f64 x 1000000000000000/83333333333333)))
(+.f64 91893853320467/100000000000000 (/.f64 (/.f64 1 x) 1000000000000000/83333333333333))
(+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))
(/.f64 83333333333333/1000000000000000 x)
91893853320467/100000000000000

Compiler

Compiled 523 to 358 computations (31.5% saved)

soundness342.0ms (1.9%)

Algorithm

2×	egg-herbie

Rules

729×	`associate-/l*_binary64`
708×	`fma-neg_binary64`
688×	`fma-def_binary64`
594×	`fma-def_binary64`
568×	`fma-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	21	32
1	43	32
2	100	31
3	298	30
4	672	30
5	1488	30
6	2883	30
7	4996	30
8	6404	30
0	76	1316
1	198	1177
2	438	1147
3	1084	1073
4	3521	985

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 693 to 511 computations (26.3% saved)

end554.0ms (3.1%)

Compiler: Compiled 481 to 303 computations (37% saved)

Iter	Nodes	Cost
0	109	719
1	173	711
2	198	711
3	210	711
4	231	711
5	272	711
6	313	711
7	358	711
8	409	711
9	448	711
10	479	711
11	507	711
12	521	711

Iter	Nodes	Cost
0	109	719
1	173	711
2	198	711
3	210	711
4	231	711
5	272	711
6	313	711
7	358	711
8	409	711
9	448	711
10	479	711
11	507	711
12	521	711

Iter	Nodes	Cost
0	109	719
1	173	711
2	198	711
3	210	711
4	231	711
5	272	711
6	313	711
7	358	711
8	409	711
9	448	711
10	479	711
11	507	711
12	521	711