Details

analyze348.0ms (1.8%)

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)

sample3.0s (15.4%)

Results

2.4s	8256×	body	256	valid
621.0ms	3473×	body	256	invalid

preprocess83.0ms (0.4%)

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)

simplify77.0ms (0.4%)

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

5.7b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	5.8b	(+.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))
▶	5.8b	(+.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)))

Status

Error

Program

▶

5.8b

(+.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))

▶

5.8b

(+.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)))

Compiler

Compiled 51 to 37 computations (27.5% saved)

localize44.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.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)))
✓	0.1b	(fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)
✓	0.2b	(fma.f64 (log.f64 x) (-.f64 1/2 x) x)
✓	5.4b	(/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)

Compiler

Compiled 92 to 57 computations (38% saved)

series37.0ms (0.2%)

Counts

4 → 108

Calls

27 calls:

Time	Variable		Point	Expression
8.0ms	x	@	0	(fma.f64 (log.f64 x) (-.f64 1/2 x) x)
5.0ms	y	@	0	(+.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)))
4.0ms	x	@	0	(+.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)))
3.0ms	x	@	-inf	(fma.f64 (log.f64 x) (-.f64 1/2 x) x)
2.0ms	x	@	inf	(fma.f64 (log.f64 x) (-.f64 1/2 x) x)

rewrite166.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

521×	`fma-def_binary64`
373×	`expm1-udef_binary64`
373×	`log1p-udef_binary64`
342×	`fma-neg_binary64`
287×	`log-pow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	67
1	412	67
2	5503	67

Stop Event

1×	node limit

Counts

4 → 163

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 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)))

Outputs
((#(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) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 z (fma.f64 z (+.f64 y 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(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)) (neg.f64 (-.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x) 91893853320467/100000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) (sqrt.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x))) (-.f64 (sqrt.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) (sqrt.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x))) 91893853320467/100000000000000)))))

simplify120.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

570×	`fma-neg_binary64`
451×	`sub-neg_binary64`
430×	`fma-def_binary64`
327×	`associate--l-_binary64`
292×	`associate-+l+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	122	2496
1	386	2333
2	1124	2192
3	3762	1844
4	7924	1844

Stop Event

1×	node limit

Counts

271 → 227

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

localize45.0ms (0.2%)

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)
✓	5.4b	(/.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%)

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

simplify89.0ms (0.5%)

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

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

eval447.0ms (2.3%)

Compiler: Compiled 12393 to 8247 computations (33.5% saved)

prune202.0ms (1%)

Pruning

29 alts after pruning (29 fresh and 0 done)

	Pruned	Kept	Total
New	389	29	418
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	391	29	420

Error

0.0b

Counts

420 → 29

Alt Table

Click to see full alt table

Status	Error	Program
	11.5b	(+.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))))
▶	6.3b	(+.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))
▶	6.0b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) (sqrt.f64 x))))
	11.4b	(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
	26.9b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 y (/.f64 (*.f64 z z) x)))
	39.3b	(*.f64 (cbrt.f64 (pow.f64 (-.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) (-.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x) 91893853320467/100000000000000)) 2)) (cbrt.f64 (-.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) (-.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x) 91893853320467/100000000000000))))
	11.4b	(-.f64 (+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) 91893853320467/100000000000000) (+.f64 (.f64 (-.f64 1/2 x) (log.f64 x)) x))
	18.5b	(+.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))))
	6.0b	(+.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))
▶	32.3b	(.f64 -1 (.f64 (+.f64 1 (log.f64 (/.f64 1 x))) x))
	35.0b	(+.f64 (+.f64 91893853320467/100000000000000 (.f64 -1/2 (log.f64 x))) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
	6.2b	(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (.f64 (cbrt.f64 (log.f64 x)) (+.f64 x -1/2)) (neg.f64 (+.f64 x -91893853320467/100000000000000))) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
	26.0b	(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (cbrt.f64 (pow.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) 3)))
	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))
	22.8b	(+.f64 (fma.f64 (cbrt.f64 (pow.f64 (+.f64 x -1/2) 2)) (.f64 (cbrt.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))
▶	22.0b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 z (*.f64 z (/.f64 (+.f64 7936500793651/10000000000000000 y) x))))
	5.8b	(+.f64 (+.f64 (-.f64 (+.f64 (.f64 (log.f64 x) x) (.f64 (log.f64 x) -1/2)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
	55.0b	(+.f64 (.f64 -13888888888889/5000000000000000 (/.f64 z x)) (.f64 (+.f64 (/.f64 y x) (*.f64 7936500793651/10000000000000000 (/.f64 1 x))) (pow.f64 z 2)))
	10.7b	(+.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))
	55.1b	(.f64 (+.f64 (/.f64 y x) (.f64 7936500793651/10000000000000000 (/.f64 1 x))) (pow.f64 z 2))
	6.3b	(+.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))
	32.0b	(+.f64 (fma.f64 (.f64 (log.f64 x) (sqrt.f64 (+.f64 x -1/2))) (sqrt.f64 (+.f64 x -1/2)) (neg.f64 (+.f64 x -91893853320467/100000000000000))) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
▶	3.3b	(+.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 z (/.f64 (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) x) (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x))))
	6.4b	(+.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))
	5.8b	(+.f64 (fma.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))
	22.1b	(+.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)))
	10.5b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 (/.f64 (sqrt.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) 1) (/.f64 (sqrt.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) x)))
	22.4b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 (/.f64 z x) (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000)))
	5.8b	(+.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))

Compiler

Compiled 1600 to 1180 computations (26.3% saved)

localize49.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(fma.f64 (log.f64 x) (-.f64 1/2 x) x)
✓	0.3b	(/.f64 83333333333333/1000000000000000 x)
✓	1.2b	(fma.f64 z (/.f64 (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) x) (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)))
✓	1.8b	(/.f64 (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) x)

Compiler

Compiled 94 to 57 computations (39.4% saved)

series13.0ms (0.1%)

Counts

3 → 72

Calls

21 calls:

Time	Variable		Point	Expression
2.0ms	y	@	0	(fma.f64 z (/.f64 (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) x) (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)))
1.0ms	z	@	0	(fma.f64 z (/.f64 (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) x) (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)))
1.0ms	z	@	0	(/.f64 (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) x)
1.0ms	y	@	inf	(/.f64 (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) x)
1.0ms	z	@	-inf	(/.f64 (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) x)

rewrite111.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

378×	`prod-diff_binary64`
362×	`expm1-udef_binary64`
362×	`log1p-udef_binary64`
282×	`log-pow_binary64`
261×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	42
1	405	42
2	5163	42

Stop Event

1×	node limit

Counts

3 → 83

Calls

Call 1

Inputs

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

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

(/.f64 83333333333333/1000000000000000 x)

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) (*.f64 z (/.f64 (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z (/.f64 (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) x)) (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 z (/.f64 (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) x)) 1) (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 z (/.f64 (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) x) 91893853320467/100000000000000) (neg.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (-.f64 (fma.f64 z (/.f64 (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) x) 91893853320467/100000000000000) (fma.f64 (log.f64 x) (-.f64 1/2 x) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 z (/.f64 (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) x) 91893853320467/100000000000000) (fma.f64 (log.f64 x) (-.f64 1/2 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (fma.f64 z (/.f64 (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) x) 91893853320467/100000000000000) (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (fma.f64 z (/.f64 (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) x) 91893853320467/100000000000000) (fma.f64 (log.f64 x) (-.f64 1/2 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (fma.f64 z (/.f64 (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) x) 91893853320467/100000000000000) (fma.f64 (log.f64 x) (-.f64 1/2 x) x))) (cbrt.f64 (pow.f64 (-.f64 (fma.f64 z (/.f64 (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) x) 91893853320467/100000000000000) (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (-.f64 (fma.f64 z (/.f64 (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) x) 91893853320467/100000000000000) (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) 2)) (cbrt.f64 (-.f64 (fma.f64 z (/.f64 (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) x) 91893853320467/100000000000000) (fma.f64 (log.f64 x) (-.f64 1/2 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (fma.f64 z (/.f64 (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) x) 91893853320467/100000000000000) (fma.f64 (log.f64 x) (-.f64 1/2 x) x))) (sqrt.f64 (-.f64 (fma.f64 z (/.f64 (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) x) 91893853320467/100000000000000) (fma.f64 (log.f64 x) (-.f64 1/2 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 z (/.f64 (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) x)) 3) (pow.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) 3)) (fma.f64 (*.f64 z (/.f64 (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) x)) (*.f64 z (/.f64 (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) x)) (-.f64 (pow.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) 2) (*.f64 (*.f64 z (/.f64 (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) x)) (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 z (/.f64 (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) x)) (*.f64 z (/.f64 (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) x))) (pow.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) 2)) (-.f64 (*.f64 z (/.f64 (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) x)) (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (fma.f64 z (/.f64 (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) x) 91893853320467/100000000000000) (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (fma.f64 z (/.f64 (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) x) 91893853320467/100000000000000) (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (fma.f64 z (/.f64 (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) x) 91893853320467/100000000000000) (fma.f64 (log.f64 x) (-.f64 1/2 x) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (fma.f64 z (/.f64 (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) x) 91893853320467/100000000000000) (fma.f64 (log.f64 x) (-.f64 1/2 x) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (fma.f64 z (/.f64 (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) x) 91893853320467/100000000000000) (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (fma.f64 z (/.f64 (fma.f64 z 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log.f64 (*.f64 (exp.f64 (*.f64 z (/.f64 (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) x))) (+.f64 1 (expm1.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (fma.f64 z (/.f64 (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) x) 91893853320467/100000000000000) (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (fma.f64 z (/.f64 (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) x) 91893853320467/100000000000000) (fma.f64 (log.f64 x) (-.f64 1/2 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (fma.f64 z (/.f64 (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) x) 91893853320467/100000000000000) (fma.f64 (log.f64 x) (-.f64 1/2 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (fma.f64 z (/.f64 (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) x) 91893853320467/100000000000000) (fma.f64 (log.f64 x) (-.f64 1/2 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (fma.f64 z (/.f64 (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) x) 91893853320467/100000000000000) (fma.f64 (log.f64 x) (-.f64 1/2 x) x))) 1))))))

((#(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 (/.f64 1 x))))) (#(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 (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) 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 (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 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))))))

simplify76.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

725×	`fma-neg_binary64`
615×	`associate--l+_binary64`
580×	`associate-+l-_binary64`
427×	`associate--r+_binary64`
344×	`sub-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	98	1673
1	293	1605
2	787	1153
3	2568	1153

Stop Event

1×	node limit

Counts

155 → 122

Calls

Call 1

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

localize22.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(log.f64 (/.f64 1 x))
✓	0.0b	(+.f64 1 (log.f64 (/.f64 1 x)))
✓	0.3b	(*.f64 (+.f64 1 (log.f64 (/.f64 1 x))) x)

Compiler

Compiled 37 to 29 computations (21.6% saved)

series60.0ms (0.3%)

Counts

3 → 24

Calls

9 calls:

Time	Variable		Point	Expression
34.0ms	x	@	0	(*.f64 (+.f64 1 (log.f64 (/.f64 1 x))) x)
14.0ms	x	@	-inf	(*.f64 (+.f64 1 (log.f64 (/.f64 1 x))) x)
11.0ms	x	@	inf	(*.f64 (+.f64 1 (log.f64 (/.f64 1 x))) x)
0.0ms	x	@	0	(+.f64 1 (log.f64 (/.f64 1 x)))
0.0ms	x	@	-inf	(+.f64 1 (log.f64 (/.f64 1 x)))

rewrite70.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

713×	`pow1_binary64`
662×	`add-log-exp_binary64`
662×	`log1p-expm1-u_binary64`
662×	`expm1-log1p-u_binary64`
649×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	24
1	147	20
2	1861	20

Stop Event

1×	node limit

Counts

3 → 78

Calls

Call 1

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

Outputs

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

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

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

simplify191.0ms (1%)

Algorithm

1×	egg-herbie

Rules

2001×	`fma-neg_binary64`
584×	`distribute-neg-in_binary64`
578×	`distribute-rgt-in_binary64`
472×	`unsub-neg_binary64`
467×	`fma-def_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	192
1	26	160
2	63	160
3	159	160
4	351	160
5	694	160
6	1384	160
7	2450	160
8	3277	160
9	3339	160
10	3424	160
11	4242	160
12	4656	160
13	4819	160
14	5984	160
15	6188	160
16	6468	160
17	6474	160
18	7284	160

Stop Event

1×	node limit

Counts

102 → 84

Calls

Call 1

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

Outputs
(.f64 (+.f64 1 (.f64 -1 (log.f64 x))) x)
(*.f64 x (+.f64 1 (neg.f64 (log.f64 x))))
(*.f64 x (-.f64 1 (log.f64 x)))
(fma.f64 x (neg.f64 (log.f64 x)) x)
(-.f64 x (*.f64 x (log.f64 x)))
(.f64 (+.f64 1 (.f64 -1 (log.f64 x))) x)
(*.f64 x (+.f64 1 (neg.f64 (log.f64 x))))
(*.f64 x (-.f64 1 (log.f64 x)))
(fma.f64 x (neg.f64 (log.f64 x)) x)
(-.f64 x (*.f64 x (log.f64 x)))
(.f64 (+.f64 1 (.f64 -1 (log.f64 x))) x)
(*.f64 x (+.f64 1 (neg.f64 (log.f64 x))))
(*.f64 x (-.f64 1 (log.f64 x)))
(fma.f64 x (neg.f64 (log.f64 x)) x)
(-.f64 x (*.f64 x (log.f64 x)))
(.f64 (+.f64 1 (.f64 -1 (log.f64 x))) x)
(*.f64 x (+.f64 1 (neg.f64 (log.f64 x))))
(*.f64 x (-.f64 1 (log.f64 x)))
(fma.f64 x (neg.f64 (log.f64 x)) x)
(-.f64 x (*.f64 x (log.f64 x)))
(*.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1))) x)
(*.f64 x (+.f64 1 (neg.f64 (log.f64 x))))
(*.f64 x (-.f64 1 (log.f64 x)))
(fma.f64 x (neg.f64 (log.f64 x)) x)
(-.f64 x (*.f64 x (log.f64 x)))
(*.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1))) x)
(*.f64 x (+.f64 1 (neg.f64 (log.f64 x))))
(*.f64 x (-.f64 1 (log.f64 x)))
(fma.f64 x (neg.f64 (log.f64 x)) x)
(-.f64 x (*.f64 x (log.f64 x)))
(*.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1))) x)
(*.f64 x (+.f64 1 (neg.f64 (log.f64 x))))
(*.f64 x (-.f64 1 (log.f64 x)))
(fma.f64 x (neg.f64 (log.f64 x)) x)
(-.f64 x (*.f64 x (log.f64 x)))
(*.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1))) x)
(*.f64 x (+.f64 1 (neg.f64 (log.f64 x))))
(*.f64 x (-.f64 1 (log.f64 x)))
(fma.f64 x (neg.f64 (log.f64 x)) x)
(-.f64 x (*.f64 x (log.f64 x)))
(+.f64 1 (*.f64 -1 (log.f64 x)))
(+.f64 1 (neg.f64 (log.f64 x)))
(-.f64 1 (log.f64 x))
(+.f64 1 (*.f64 -1 (log.f64 x)))
(+.f64 1 (neg.f64 (log.f64 x)))
(-.f64 1 (log.f64 x))
(+.f64 1 (*.f64 -1 (log.f64 x)))
(+.f64 1 (neg.f64 (log.f64 x)))
(-.f64 1 (log.f64 x))
(+.f64 1 (*.f64 -1 (log.f64 x)))
(+.f64 1 (neg.f64 (log.f64 x)))
(-.f64 1 (log.f64 x))
(+.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)))
(+.f64 1 (neg.f64 (log.f64 x)))
(-.f64 1 (log.f64 x))
(+.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)))
(+.f64 1 (neg.f64 (log.f64 x)))
(-.f64 1 (log.f64 x))
(+.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)))
(+.f64 1 (neg.f64 (log.f64 x)))
(-.f64 1 (log.f64 x))
(+.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)))
(+.f64 1 (neg.f64 (log.f64 x)))
(-.f64 1 (log.f64 x))
(*.f64 -1 (log.f64 x))
(neg.f64 (log.f64 x))
(*.f64 -1 (log.f64 x))
(neg.f64 (log.f64 x))
(*.f64 -1 (log.f64 x))
(neg.f64 (log.f64 x))
(*.f64 -1 (log.f64 x))
(neg.f64 (log.f64 x))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1))
(neg.f64 (log.f64 x))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1))
(neg.f64 (log.f64 x))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1))
(neg.f64 (log.f64 x))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1))
(neg.f64 (log.f64 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)
✓	1.3b	(.f64 z (.f64 z (/.f64 (+.f64 7936500793651/10000000000000000 y) x)))
✓	4.0b	(*.f64 z (/.f64 (+.f64 7936500793651/10000000000000000 y) x))

Compiler

Compiled 82 to 48 computations (41.5% saved)

series12.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

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

rewrite79.0ms (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))))))

simplify91.0ms (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)
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(/.f64 y (/.f64 x (*.f64 z z)))
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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)))
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(+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)))
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(*.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 (.f64 y (pow.f64 z 2)) x) (.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)))
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(/.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)))
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(/.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)))
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(/.f64 (*.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y)))
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(/.f64 (*.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y)))
(*.f64 (/.f64 z (/.f64 x z)) (+.f64 7936500793651/10000000000000000 y))
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(/.f64 (*.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y)))
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(/.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))

localize225.0ms (1.1%)

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)
✓	0.5b	(cbrt.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x))
✓	0.8b	(pow.f64 (cbrt.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x)) 3)
	5.4b	(/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)

Compiler

Compiled 139 to 92 computations (33.8% saved)

series239.0ms (1.2%)

Counts

3 → 14

Calls

9 calls:

Time	Variable		Point	Expression
7.0ms	x	@	0	(pow.f64 (cbrt.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x)) 3)
3.0ms	x	@	0	(+.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x)) 3) 91893853320467/100000000000000)
2.0ms	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))
1.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x)) 3)

rewrite115.0ms (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

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simplify76.0ms (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))
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(.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))))
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(.f64 (cbrt.f64 -1/2) (pow.f64 (.f64 1 (log.f64 x)) 1/3))
(*.f64 (cbrt.f64 -1/2) (cbrt.f64 (log.f64 x)))
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(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 (/.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)))) (.f64 (cbrt.f64 -1/2) (cbrt.f64 (log.f64 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))))))
(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

localize54.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000)
✓	0.3b	(/.f64 1 (sqrt.f64 x))
✓	2.1b	(/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) (sqrt.f64 x))
✓	3.6b	(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) (sqrt.f64 x)))

Compiler

Compiled 122 to 74 computations (39.3% saved)

series12.0ms (0.1%)

Counts

3 → 60

Calls

21 calls:

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

rewrite138.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

683×	`log-prod_binary64`
387×	`pow2_binary64`
274×	`pow1/3_binary64`
268×	`expm1-udef_binary64`
268×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	38
1	320	36
2	3993	36

Stop Event

1×	node limit

Counts

3 → 143

Calls

Call 1

Inputs

(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) (sqrt.f64 x)))

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

(/.f64 1 (sqrt.f64 x))

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

simplify249.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

719×	`times-frac_binary64`
629×	`fma-def_binary64`
517×	`associate-/l*_binary64`
447×	`associate-/l/_binary64`
368×	`associate-/r/_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	62	1520
1	162	1323
2	393	1141
3	972	1094
4	3497	1024

Stop Event

1×	node limit

Counts

203 → 176

Calls

Call 1

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

eval634.0ms (3.2%)

Compiler: Compiled 30040 to 19881 computations (33.8% saved)

prune407.0ms (2.1%)

Pruning

35 alts after pruning (35 fresh and 0 done)

	Pruned	Kept	Total
New	920	30	950
Fresh	19	5	24
Picked	1	0	1
Done	4	0	4
Total	944	35	979

Error

Counts

979 → 35

Alt Table

Click to see full alt table

Status	Error	Program
	34.3b	(+.f64 91893853320467/100000000000000 (/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
	11.5b	(+.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))))
	32.3b	(.f64 -1 (-.f64 x (.f64 x (log.f64 x))))
	32.4b	(.f64 -1 (/.f64 (.f64 (-.f64 1 (*.f64 (log.f64 x) (log.f64 x))) x) (+.f64 1 (log.f64 x))))
	22.1b	(+.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)))
	35.0b	(+.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 (+.f64 91893853320467/100000000000000 (/.f64 (.f64 (-.f64 (.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z) x)) (*.f64 1/2 (log.f64 x))))
	32.9b	(.f64 -1 (/.f64 (.f64 (+.f64 1 (pow.f64 (neg.f64 (log.f64 x)) 3)) x) (+.f64 1 (-.f64 (*.f64 (log.f64 x) (log.f64 x)) (neg.f64 (log.f64 x))))))
	6.0b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 (*.f64 (cbrt.f64 (pow.f64 x -1/2)) (cbrt.f64 (/.f64 1 x))) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) (sqrt.f64 x))))
	5.9b	(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) (sqrt.f64 x)) (sqrt.f64 x)))
▶	11.4b	(+.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 91893853320467/100000000000000 (+.f64 (*.f64 (-.f64 1/2 x) (log.f64 x)) x)))
	11.4b	(-.f64 (+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) 91893853320467/100000000000000) (+.f64 (.f64 (-.f64 1/2 x) (log.f64 x)) x))
	32.7b	(.f64 -1 (.f64 (+.f64 1 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 x))) 3)) x))
	43.4b	(+.f64 (+.f64 (-.f64 (/.f64 (.f64 (fma.f64 x x -1/4) (log.f64 x)) (+.f64 x 1/2)) x) 91893853320467/100000000000000) (.f64 z (*.f64 z (/.f64 (+.f64 7936500793651/10000000000000000 y) x))))
▶	42.4b	(+.f64 (/.f64 83333333333333/1000000000000000 x) (.f64 (/.f64 y x) (.f64 z z)))
	6.9b	(+.f64 (-.f64 (.f64 x (log.f64 x)) x) (.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) (sqrt.f64 x))))
	35.0b	(+.f64 (+.f64 (.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
	22.2b	(+.f64 (+.f64 (-.f64 (pow.f64 (sqrt.f64 (.f64 (+.f64 x -1/2) (log.f64 x))) 2) x) 91893853320467/100000000000000) (.f64 z (*.f64 z (/.f64 (+.f64 7936500793651/10000000000000000 y) x))))
	32.1b	(+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 (/.f64 z x) (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000)))
	32.3b	(.f64 -1 (.f64 (log.f64 (*.f64 (/.f64 1 x) (E.f64))) x))
	32.9b	(+.f64 (/.f64 83333333333333/1000000000000000 x) (.f64 z (.f64 (+.f64 y 7936500793651/10000000000000000) (/.f64 z x))))
	10.7b	(+.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))
	32.8b	(.f64 -1 (pow.f64 (cbrt.f64 (.f64 x (-.f64 1 (log.f64 x)))) 3))
	32.3b	(.f64 -1 (.f64 (-.f64 1 (log.f64 x)) x))
	15.0b	(+.f64 (sqrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x))) (fma.f64 z (/.f64 (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) x) (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x))))
	11.4b	(+.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 (+.f64 91893853320467/100000000000000 (.f64 -1 (.f64 (+.f64 1 (log.f64 (/.f64 1 x))) x))) (*.f64 -1/2 (log.f64 (/.f64 1 x)))))
	55.1b	(.f64 (+.f64 (/.f64 y x) (.f64 7936500793651/10000000000000000 (/.f64 1 x))) (pow.f64 z 2))
▶	3.3b	(+.f64 (pow.f64 (*.f64 x 1000000000000000/83333333333333) -1) (fma.f64 z (/.f64 (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) x) (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x))))
	12.4b	(+.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 (*.f64 x (log.f64 x)) x))
▶	11.5b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 (/.f64 1 (sqrt.f64 x)) (*.f64 83333333333333/1000000000000000 (sqrt.f64 (/.f64 1 x)))))
	32.7b	(.f64 -1 (.f64 (pow.f64 (cbrt.f64 (-.f64 1 (log.f64 x))) 3) x))
▶	5.8b	(+.f64 (fma.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))
	32.5b	(.f64 -1 (.f64 (+.f64 1 (cbrt.f64 (pow.f64 (neg.f64 (log.f64 x)) 3))) x))
	5.8b	(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 1 (/.f64 x (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000))))
	22.6b	(+.f64 (-.f64 (.f64 x (log.f64 x)) x) (.f64 z (*.f64 z (/.f64 (+.f64 7936500793651/10000000000000000 y) x))))
	32.5b	(.f64 -1 (.f64 (cbrt.f64 (pow.f64 (-.f64 1 (log.f64 x)) 3)) x))

Compiler

Compiled 1472 to 1096 computations (25.5% saved)

localize293.0ms (1.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(fma.f64 (log.f64 x) (-.f64 1/2 x) x)
✓	0.2b	(pow.f64 (*.f64 x 1000000000000000/83333333333333) -1)
	1.2b	(fma.f64 z (/.f64 (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) x) (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)))
	1.8b	(/.f64 (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) x)

Compiler

Compiled 102 to 64 computations (37.3% saved)

series5.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(pow.f64 (*.f64 x 1000000000000000/83333333333333) -1)
2.0ms	x	@	-inf	(pow.f64 (*.f64 x 1000000000000000/83333333333333) -1)
1.0ms	x	@	inf	(pow.f64 (*.f64 x 1000000000000000/83333333333333) -1)

rewrite82.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

531×	`pow1_binary64`
523×	`add-sqr-sqrt_binary64`
500×	`add-log-exp_binary64`
500×	`log1p-expm1-u_binary64`
500×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	126	4
2	1377	4

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

Inputs
(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)) (pow.f64 (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)) 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 (pow.f64 (cbrt.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 (pow.f64 (cbrt.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 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)))))))

simplify20.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	48

Stop Event

1×

saturated

Counts

35 → 23

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)

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)

localize38.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 83333333333333/1000000000000000 x) (.f64 (/.f64 y x) (.f64 z z)))
	0.3b	(/.f64 83333333333333/1000000000000000 x)
✓	13.5b	(.f64 (/.f64 y x) (.f64 z z))

Compiler

Compiled 34 to 12 computations (64.7% saved)

series54.0ms (0.3%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
38.0ms	y	@	-inf	(.f64 (/.f64 y x) (.f64 z z))
2.0ms	z	@	inf	(+.f64 (/.f64 83333333333333/1000000000000000 x) (.f64 (/.f64 y x) (.f64 z z)))
2.0ms	y	@	0	(.f64 (/.f64 y x) (.f64 z z))
1.0ms	x	@	0	(.f64 (/.f64 y x) (.f64 z z))
1.0ms	x	@	inf	(.f64 (/.f64 y x) (.f64 z z))

rewrite110.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

568×	`log-prod_binary64`
401×	`pow-prod-down_binary64`
316×	`fma-def_binary64`
295×	`pow2_binary64`
204×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	26
1	224	24
2	3203	24

Stop Event

1×	node limit

Counts

2 → 109

Calls

Call 1

Inputs
(.f64 (/.f64 y x) (.f64 z z))
(+.f64 (/.f64 83333333333333/1000000000000000 x) (.f64 (/.f64 y x) (.f64 z z)))

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (/.f64 y x) (*.f64 z z) (/.f64 83333333333333/1000000000000000 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)) (/.f64 (-.f64 83333333333333/1000000000000000 (*.f64 y (*.f64 z z))) x)) (/.f64 (pow.f64 (*.f64 z (sqrt.f64 (/.f64 y x))) 4) (/.f64 (-.f64 83333333333333/1000000000000000 (*.f64 y (*.f64 z z))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (/.f64 y x) (*.f64 z z) (/.f64 83333333333333/1000000000000000 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (/.f64 y x) (*.f64 z z) (/.f64 83333333333333/1000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (/.f64 y x) (*.f64 z z) (/.f64 83333333333333/1000000000000000 x))) (cbrt.f64 (pow.f64 (fma.f64 (/.f64 y x) (*.f64 z z) (/.f64 83333333333333/1000000000000000 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 (/.f64 y x) (*.f64 z z) (/.f64 83333333333333/1000000000000000 x)) 2)) (cbrt.f64 (fma.f64 (/.f64 y x) (*.f64 z z) (/.f64 83333333333333/1000000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (/.f64 y x) (*.f64 z z) (/.f64 83333333333333/1000000000000000 x))) (sqrt.f64 (fma.f64 (/.f64 y x) (*.f64 z z) (/.f64 83333333333333/1000000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 578703703703696759259259259287037037037037/1000000000000000000000000000000000000000000000 (pow.f64 x -3) (pow.f64 (*.f64 z (sqrt.f64 (/.f64 y x))) 6)) (/.f64 1 (fma.f64 (*.f64 (/.f64 y x) (*.f64 z z)) (fma.f64 (/.f64 y x) (*.f64 z z) (neg.f64 (/.f64 83333333333333/1000000000000000 x))) (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 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83333333333333/1000000000000000 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (/.f64 y x) (*.f64 z z) (/.f64 83333333333333/1000000000000000 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (/.f64 y x) (*.f64 z z) (/.f64 83333333333333/1000000000000000 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (/.f64 y x) (*.f64 z z) (/.f64 83333333333333/1000000000000000 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (/.f64 y x) (*.f64 z z) (/.f64 83333333333333/1000000000000000 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (*.f64 (/.f64 y x) (*.f64 z z)) (fma.f64 (/.f64 y x) (*.f64 z z) (neg.f64 (/.f64 83333333333333/1000000000000000 x))) (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x))) (fma.f64 578703703703696759259259259287037037037037/1000000000000000000000000000000000000000000000 (pow.f64 x -3) (pow.f64 (*.f64 z (sqrt.f64 (/.f64 y x))) 6))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (-.f64 83333333333333/1000000000000000 (*.f64 y (*.f64 z z))) x) (-.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)) (pow.f64 (*.f64 z (sqrt.f64 (/.f64 y x))) 4))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (/.f64 y x) (*.f64 z z) (/.f64 83333333333333/1000000000000000 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (/.f64 y x) (*.f64 z z) (/.f64 83333333333333/1000000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (/.f64 y x) (*.f64 z z) (/.f64 83333333333333/1000000000000000 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 y x) (*.f64 z z)))) (exp.f64 (/.f64 83333333333333/1000000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 z) (*.f64 (/.f64 y 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(/.f64 83333333333333/1000000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (/.f64 y x) (*.f64 z z) (/.f64 83333333333333/1000000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (/.f64 y x) (*.f64 z z) (/.f64 83333333333333/1000000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (/.f64 y x) (*.f64 z z) (/.f64 83333333333333/1000000000000000 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 (/.f64 y x) (*.f64 z z) (/.f64 83333333333333/1000000000000000 x)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 (/.f64 y x) (*.f64 z z) (/.f64 83333333333333/1000000000000000 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (/.f64 y x) (*.f64 z z) (/.f64 83333333333333/1000000000000000 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y (*.f64 (/.f64 1 x) (*.f64 z z)) (/.f64 83333333333333/1000000000000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 y x) (*.f64 z z) (/.f64 83333333333333/1000000000000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z (*.f64 (/.f64 y x) z) (/.f64 83333333333333/1000000000000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 z z) (/.f64 y x) (/.f64 83333333333333/1000000000000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 y x) (*.f64 z z)) 1 (/.f64 83333333333333/1000000000000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 83333333333333/1000000000000000 (/.f64 1 x) (*.f64 (/.f64 y x) (*.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 83333333333333/1000000000000000 x) 1 (*.f64 (/.f64 y x) (*.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (/.f64 y x) (*.f64 z z)) (/.f64 83333333333333/1000000000000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 83333333333333/1000000000000000 x) (*.f64 (/.f64 y x) (*.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)) (cbrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x))) (*.f64 (/.f64 y x) (*.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x))) (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)) (*.f64 (/.f64 y x) (*.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 z) z) (*.f64 (pow.f64 (cbrt.f64 z) 2) (/.f64 y x)) (/.f64 83333333333333/1000000000000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (/.f64 y x) (*.f64 z z))) (cbrt.f64 (pow.f64 (*.f64 z (sqrt.f64 (/.f64 y x))) 4)) (/.f64 83333333333333/1000000000000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (*.f64 z (sqrt.f64 (/.f64 y x))) 4)) (cbrt.f64 (*.f64 (/.f64 y x) (*.f64 z z))) (/.f64 83333333333333/1000000000000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) 2) (*.f64 (cbrt.f64 (/.f64 y x)) (*.f64 z z)) (/.f64 83333333333333/1000000000000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) (*.f64 (/.f64 y x) (*.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 z (sqrt.f64 (/.f64 y x))) (*.f64 z (sqrt.f64 (/.f64 y x))) (/.f64 83333333333333/1000000000000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 y x)) (*.f64 (sqrt.f64 (/.f64 y x)) (*.f64 z z)) (/.f64 83333333333333/1000000000000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -83333333333333/1000000000000000 (/.f64 1 (neg.f64 x)) (*.f64 (/.f64 y x) (*.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 x) 83333333333333/1000000000000000 (*.f64 (/.f64 y x) (*.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (*.f64 z z)) (/.f64 1 x) (/.f64 83333333333333/1000000000000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 y x) z) z (/.f64 83333333333333/1000000000000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 y (sqrt.f64 x)) (/.f64 (*.f64 z z) (sqrt.f64 x)) (/.f64 83333333333333/1000000000000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 y 1) (/.f64 (*.f64 z z) x) (/.f64 83333333333333/1000000000000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 y (pow.f64 (cbrt.f64 x) 2)) (/.f64 (*.f64 z z) (cbrt.f64 x)) (/.f64 83333333333333/1000000000000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 y x) (*.f64 (cbrt.f64 z) z)) (pow.f64 (cbrt.f64 z) 2) (/.f64 83333333333333/1000000000000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 z (cbrt.f64 (/.f64 y x))) 2) (cbrt.f64 (/.f64 y x)) (/.f64 83333333333333/1000000000000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 z z) (sqrt.f64 (/.f64 y x))) (sqrt.f64 (/.f64 y x)) (/.f64 83333333333333/1000000000000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 (/.f64 y x) z) 1) z (/.f64 83333333333333/1000000000000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 (/.f64 y x) z) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z) (/.f64 83333333333333/1000000000000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 (/.f64 y x) z) (sqrt.f64 z)) (sqrt.f64 z) (/.f64 83333333333333/1000000000000000 x))))))

simplify162.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

852×	`fma-def_binary64`
731×	`fma-neg_binary64`
544×	`unswap-sqr_binary64`
395×	`distribute-rgt-neg-in_binary64`
371×	`div-sub_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	738
1	50	738
2	111	738
3	294	738
4	954	738
5	2760	738
6	4636	738
7	6796	738

Stop Event

1×	node limit

Counts

181 → 116

Calls

Call 1

Inputs
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (+.f64 (*.f64 y (pow.f64 z 2)) 83333333333333/1000000000000000) x)
(/.f64 (+.f64 (*.f64 y (pow.f64 z 2)) 83333333333333/1000000000000000) x)
(/.f64 (+.f64 (*.f64 y (pow.f64 z 2)) 83333333333333/1000000000000000) x)
(/.f64 (+.f64 (*.f64 y (pow.f64 z 2)) 83333333333333/1000000000000000) x)
(/.f64 (+.f64 (*.f64 y (pow.f64 z 2)) 83333333333333/1000000000000000) x)
(/.f64 (+.f64 (*.f64 y (pow.f64 z 2)) 83333333333333/1000000000000000) x)
(/.f64 (+.f64 (*.f64 y (pow.f64 z 2)) 83333333333333/1000000000000000) x)
(/.f64 (+.f64 (*.f64 y (pow.f64 z 2)) 83333333333333/1000000000000000) x)
(.f64 -1 (/.f64 (-.f64 (.f64 -1 (*.f64 y (pow.f64 z 2))) 83333333333333/1000000000000000) x))
(.f64 -1 (/.f64 (-.f64 (.f64 -1 (*.f64 y (pow.f64 z 2))) 83333333333333/1000000000000000) x))
(.f64 -1 (/.f64 (-.f64 (.f64 -1 (*.f64 y (pow.f64 z 2))) 83333333333333/1000000000000000) x))
(.f64 -1 (/.f64 (-.f64 (.f64 -1 (*.f64 y (pow.f64 z 2))) 83333333333333/1000000000000000) x))
(/.f64 83333333333333/1000000000000000 x)
(+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (.f64 83333333333333/1000000000000000 (/.f64 1 x)))
(+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (.f64 83333333333333/1000000000000000 (/.f64 1 x)))
(+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (.f64 83333333333333/1000000000000000 (/.f64 1 x)))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (.f64 83333333333333/1000000000000000 (/.f64 1 x)))
(+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (.f64 83333333333333/1000000000000000 (/.f64 1 x)))
(+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (.f64 83333333333333/1000000000000000 (/.f64 1 x)))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (.f64 83333333333333/1000000000000000 (/.f64 1 x)))
(+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (.f64 83333333333333/1000000000000000 (/.f64 1 x)))
(+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (.f64 83333333333333/1000000000000000 (/.f64 1 x)))
(/.f64 83333333333333/1000000000000000 x)
(+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (.f64 83333333333333/1000000000000000 (/.f64 1 x)))
(+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (.f64 83333333333333/1000000000000000 (/.f64 1 x)))
(+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (.f64 83333333333333/1000000000000000 (/.f64 1 x)))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (.f64 83333333333333/1000000000000000 (/.f64 1 x)))
(+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (.f64 83333333333333/1000000000000000 (/.f64 1 x)))
(+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (.f64 83333333333333/1000000000000000 (/.f64 1 x)))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (.f64 83333333333333/1000000000000000 (/.f64 1 x)))
(+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (.f64 83333333333333/1000000000000000 (/.f64 1 x)))
(+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (.f64 83333333333333/1000000000000000 (/.f64 1 x)))

Outputs
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 y (/.f64 x (*.f64 z z)))
(.f64 (/.f64 y x) (.f64 z z))
(/.f64 (.f64 y (.f64 z z)) x)
(*.f64 y (/.f64 z (/.f64 x z)))
(.f64 y (/.f64 (.f64 z z) x))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 y (/.f64 x (*.f64 z z)))
(.f64 (/.f64 y x) (.f64 z z))
(/.f64 (.f64 y (.f64 z z)) x)
(*.f64 y (/.f64 z (/.f64 x z)))
(.f64 y (/.f64 (.f64 z z) x))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 y (/.f64 x (*.f64 z z)))
(.f64 (/.f64 y x) (.f64 z z))
(/.f64 (.f64 y (.f64 z z)) x)
(*.f64 y (/.f64 z (/.f64 x z)))
(.f64 y (/.f64 (.f64 z z) x))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 y (/.f64 x (*.f64 z z)))
(.f64 (/.f64 y x) (.f64 z z))
(/.f64 (.f64 y (.f64 z z)) x)
(*.f64 y (/.f64 z (/.f64 x z)))
(.f64 y (/.f64 (.f64 z z) x))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 y (/.f64 x (*.f64 z z)))
(.f64 (/.f64 y x) (.f64 z z))
(/.f64 (.f64 y (.f64 z z)) x)
(*.f64 y (/.f64 z (/.f64 x z)))
(.f64 y (/.f64 (.f64 z z) x))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 y (/.f64 x (*.f64 z z)))
(.f64 (/.f64 y x) (.f64 z z))
(/.f64 (.f64 y (.f64 z z)) x)
(*.f64 y (/.f64 z (/.f64 x z)))
(.f64 y (/.f64 (.f64 z z) x))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 y (/.f64 x (*.f64 z z)))
(.f64 (/.f64 y x) (.f64 z z))
(/.f64 (.f64 y (.f64 z z)) x)
(*.f64 y (/.f64 z (/.f64 x z)))
(.f64 y (/.f64 (.f64 z z) x))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 y (/.f64 x (*.f64 z z)))
(.f64 (/.f64 y x) (.f64 z z))
(/.f64 (.f64 y (.f64 z z)) x)
(*.f64 y (/.f64 z (/.f64 x z)))
(.f64 y (/.f64 (.f64 z z) x))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 y (/.f64 x (*.f64 z z)))
(.f64 (/.f64 y x) (.f64 z z))
(/.f64 (.f64 y (.f64 z z)) x)
(*.f64 y (/.f64 z (/.f64 x z)))
(.f64 y (/.f64 (.f64 z z) x))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 y (/.f64 x (*.f64 z z)))
(.f64 (/.f64 y x) (.f64 z z))
(/.f64 (.f64 y (.f64 z z)) x)
(*.f64 y (/.f64 z (/.f64 x z)))
(.f64 y (/.f64 (.f64 z z) x))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 y (/.f64 x (*.f64 z z)))
(.f64 (/.f64 y x) (.f64 z z))
(/.f64 (.f64 y (.f64 z z)) x)
(*.f64 y (/.f64 z (/.f64 x z)))
(.f64 y (/.f64 (.f64 z z) x))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 y (/.f64 x (*.f64 z z)))
(.f64 (/.f64 y x) (.f64 z z))
(/.f64 (.f64 y (.f64 z z)) x)
(*.f64 y (/.f64 z (/.f64 x z)))
(.f64 y (/.f64 (.f64 z z) x))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 y (/.f64 x (*.f64 z z)))
(.f64 (/.f64 y x) (.f64 z z))
(/.f64 (.f64 y (.f64 z z)) x)
(*.f64 y (/.f64 z (/.f64 x z)))
(.f64 y (/.f64 (.f64 z z) x))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 y (/.f64 x (*.f64 z z)))
(.f64 (/.f64 y x) (.f64 z z))
(/.f64 (.f64 y (.f64 z z)) x)
(*.f64 y (/.f64 z (/.f64 x z)))
(.f64 y (/.f64 (.f64 z z) x))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 y (/.f64 x (*.f64 z z)))
(.f64 (/.f64 y x) (.f64 z z))
(/.f64 (.f64 y (.f64 z z)) x)
(*.f64 y (/.f64 z (/.f64 x z)))
(.f64 y (/.f64 (.f64 z z) x))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 y (/.f64 x (*.f64 z z)))
(.f64 (/.f64 y x) (.f64 z z))
(/.f64 (.f64 y (.f64 z z)) x)
(*.f64 y (/.f64 z (/.f64 x z)))
(.f64 y (/.f64 (.f64 z z) x))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 y (/.f64 x (*.f64 z z)))
(.f64 (/.f64 y x) (.f64 z z))
(/.f64 (.f64 y (.f64 z z)) x)
(*.f64 y (/.f64 z (/.f64 x z)))
(.f64 y (/.f64 (.f64 z z) x))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 y (/.f64 x (*.f64 z z)))
(.f64 (/.f64 y x) (.f64 z z))
(/.f64 (.f64 y (.f64 z z)) x)
(*.f64 y (/.f64 z (/.f64 x z)))
(.f64 y (/.f64 (.f64 z z) x))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 y (/.f64 x (*.f64 z z)))
(.f64 (/.f64 y x) (.f64 z z))
(/.f64 (.f64 y (.f64 z z)) x)
(*.f64 y (/.f64 z (/.f64 x z)))
(.f64 y (/.f64 (.f64 z z) x))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 y (/.f64 x (*.f64 z z)))
(.f64 (/.f64 y x) (.f64 z z))
(/.f64 (.f64 y (.f64 z z)) x)
(*.f64 y (/.f64 z (/.f64 x z)))
(.f64 y (/.f64 (.f64 z z) x))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 y (/.f64 x (*.f64 z z)))
(.f64 (/.f64 y x) (.f64 z z))
(/.f64 (.f64 y (.f64 z z)) x)
(*.f64 y (/.f64 z (/.f64 x z)))
(.f64 y (/.f64 (.f64 z z) x))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 y (/.f64 x (*.f64 z z)))
(.f64 (/.f64 y x) (.f64 z z))
(/.f64 (.f64 y (.f64 z z)) x)
(*.f64 y (/.f64 z (/.f64 x z)))
(.f64 y (/.f64 (.f64 z z) x))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 y (/.f64 x (*.f64 z z)))
(.f64 (/.f64 y x) (.f64 z z))
(/.f64 (.f64 y (.f64 z z)) x)
(*.f64 y (/.f64 z (/.f64 x z)))
(.f64 y (/.f64 (.f64 z z) x))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 y (/.f64 x (*.f64 z z)))
(.f64 (/.f64 y x) (.f64 z z))
(/.f64 (.f64 y (.f64 z z)) x)
(*.f64 y (/.f64 z (/.f64 x z)))
(.f64 y (/.f64 (.f64 z z) x))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 y (/.f64 x (*.f64 z z)))
(.f64 (/.f64 y x) (.f64 z z))
(/.f64 (.f64 y (.f64 z z)) x)
(*.f64 y (/.f64 z (/.f64 x z)))
(.f64 y (/.f64 (.f64 z z) x))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 y (/.f64 x (*.f64 z z)))
(.f64 (/.f64 y x) (.f64 z z))
(/.f64 (.f64 y (.f64 z z)) x)
(*.f64 y (/.f64 z (/.f64 x z)))
(.f64 y (/.f64 (.f64 z z) x))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 y (/.f64 x (*.f64 z z)))
(.f64 (/.f64 y x) (.f64 z z))
(/.f64 (.f64 y (.f64 z z)) x)
(*.f64 y (/.f64 z (/.f64 x z)))
(.f64 y (/.f64 (.f64 z z) x))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 y (/.f64 x (*.f64 z z)))
(.f64 (/.f64 y x) (.f64 z z))
(/.f64 (.f64 y (.f64 z z)) x)
(*.f64 y (/.f64 z (/.f64 x z)))
(.f64 y (/.f64 (.f64 z z) x))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 y (/.f64 x (*.f64 z z)))
(.f64 (/.f64 y x) (.f64 z z))
(/.f64 (.f64 y (.f64 z z)) x)
(*.f64 y (/.f64 z (/.f64 x z)))
(.f64 y (/.f64 (.f64 z z) x))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 y (/.f64 x (*.f64 z z)))
(.f64 (/.f64 y x) (.f64 z z))
(/.f64 (.f64 y (.f64 z z)) x)
(*.f64 y (/.f64 z (/.f64 x z)))
(.f64 y (/.f64 (.f64 z z) x))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 y (/.f64 x (*.f64 z z)))
(.f64 (/.f64 y x) (.f64 z z))
(/.f64 (.f64 y (.f64 z z)) x)
(*.f64 y (/.f64 z (/.f64 x z)))
(.f64 y (/.f64 (.f64 z z) x))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 y (/.f64 x (*.f64 z z)))
(.f64 (/.f64 y x) (.f64 z z))
(/.f64 (.f64 y (.f64 z z)) x)
(*.f64 y (/.f64 z (/.f64 x z)))
(.f64 y (/.f64 (.f64 z z) x))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 y (/.f64 x (*.f64 z z)))
(.f64 (/.f64 y x) (.f64 z z))
(/.f64 (.f64 y (.f64 z z)) x)
(*.f64 y (/.f64 z (/.f64 x z)))
(.f64 y (/.f64 (.f64 z z) x))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 y (/.f64 x (*.f64 z z)))
(.f64 (/.f64 y x) (.f64 z z))
(/.f64 (.f64 y (.f64 z z)) x)
(*.f64 y (/.f64 z (/.f64 x z)))
(.f64 y (/.f64 (.f64 z z) x))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 y (/.f64 x (*.f64 z z)))
(.f64 (/.f64 y x) (.f64 z z))
(/.f64 (.f64 y (.f64 z z)) x)
(*.f64 y (/.f64 z (/.f64 x z)))
(.f64 y (/.f64 (.f64 z z) x))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 y (/.f64 x (*.f64 z z)))
(.f64 (/.f64 y x) (.f64 z z))
(/.f64 (.f64 y (.f64 z z)) x)
(*.f64 y (/.f64 z (/.f64 x z)))
(.f64 y (/.f64 (.f64 z z) x))
(/.f64 (+.f64 (*.f64 y (pow.f64 z 2)) 83333333333333/1000000000000000) x)
(/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x)
(/.f64 (+.f64 (*.f64 y (pow.f64 z 2)) 83333333333333/1000000000000000) x)
(/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x)
(/.f64 (+.f64 (*.f64 y (pow.f64 z 2)) 83333333333333/1000000000000000) x)
(/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x)
(/.f64 (+.f64 (*.f64 y (pow.f64 z 2)) 83333333333333/1000000000000000) x)
(/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x)
(/.f64 (+.f64 (*.f64 y (pow.f64 z 2)) 83333333333333/1000000000000000) x)
(/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x)
(/.f64 (+.f64 (*.f64 y (pow.f64 z 2)) 83333333333333/1000000000000000) x)
(/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x)
(/.f64 (+.f64 (*.f64 y (pow.f64 z 2)) 83333333333333/1000000000000000) x)
(/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x)
(/.f64 (+.f64 (*.f64 y (pow.f64 z 2)) 83333333333333/1000000000000000) x)
(/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x)
(.f64 -1 (/.f64 (-.f64 (.f64 -1 (*.f64 y (pow.f64 z 2))) 83333333333333/1000000000000000) x))
(/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x)
(.f64 -1 (/.f64 (-.f64 (.f64 -1 (*.f64 y (pow.f64 z 2))) 83333333333333/1000000000000000) x))
(/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x)
(.f64 -1 (/.f64 (-.f64 (.f64 -1 (*.f64 y (pow.f64 z 2))) 83333333333333/1000000000000000) x))
(/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x)
(.f64 -1 (/.f64 (-.f64 (.f64 -1 (*.f64 y (pow.f64 z 2))) 83333333333333/1000000000000000) x))
(/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x)
(/.f64 83333333333333/1000000000000000 x)
(+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (.f64 83333333333333/1000000000000000 (/.f64 1 x)))
(/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x)
(+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (.f64 83333333333333/1000000000000000 (/.f64 1 x)))
(/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x)
(+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (.f64 83333333333333/1000000000000000 (/.f64 1 x)))
(/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 y (/.f64 x (*.f64 z z)))
(.f64 (/.f64 y x) (.f64 z z))
(/.f64 (.f64 y (.f64 z z)) x)
(*.f64 y (/.f64 z (/.f64 x z)))
(.f64 y (/.f64 (.f64 z z) x))
(+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (.f64 83333333333333/1000000000000000 (/.f64 1 x)))
(/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x)
(+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (.f64 83333333333333/1000000000000000 (/.f64 1 x)))
(/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x)
(+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (.f64 83333333333333/1000000000000000 (/.f64 1 x)))
(/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 y (/.f64 x (*.f64 z z)))
(.f64 (/.f64 y x) (.f64 z z))
(/.f64 (.f64 y (.f64 z z)) x)
(*.f64 y (/.f64 z (/.f64 x z)))
(.f64 y (/.f64 (.f64 z z) x))
(+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (.f64 83333333333333/1000000000000000 (/.f64 1 x)))
(/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x)
(+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (.f64 83333333333333/1000000000000000 (/.f64 1 x)))
(/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x)
(+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (.f64 83333333333333/1000000000000000 (/.f64 1 x)))
(/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x)
(/.f64 83333333333333/1000000000000000 x)
(+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (.f64 83333333333333/1000000000000000 (/.f64 1 x)))
(/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x)
(+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (.f64 83333333333333/1000000000000000 (/.f64 1 x)))
(/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x)
(+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (.f64 83333333333333/1000000000000000 (/.f64 1 x)))
(/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 y (/.f64 x (*.f64 z z)))
(.f64 (/.f64 y x) (.f64 z z))
(/.f64 (.f64 y (.f64 z z)) x)
(*.f64 y (/.f64 z (/.f64 x z)))
(.f64 y (/.f64 (.f64 z z) x))
(+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (.f64 83333333333333/1000000000000000 (/.f64 1 x)))
(/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x)
(+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (.f64 83333333333333/1000000000000000 (/.f64 1 x)))
(/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x)
(+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (.f64 83333333333333/1000000000000000 (/.f64 1 x)))
(/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 y (/.f64 x (*.f64 z z)))
(.f64 (/.f64 y x) (.f64 z z))
(/.f64 (.f64 y (.f64 z z)) x)
(*.f64 y (/.f64 z (/.f64 x z)))
(.f64 y (/.f64 (.f64 z z) x))
(+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (.f64 83333333333333/1000000000000000 (/.f64 1 x)))
(/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x)
(+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (.f64 83333333333333/1000000000000000 (/.f64 1 x)))
(/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x)
(+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (.f64 83333333333333/1000000000000000 (/.f64 1 x)))
(/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x)

localize176.0ms (0.9%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(+.f64 (*.f64 (-.f64 1/2 x) (log.f64 x)) x)
✓	0.1b	(*.f64 (-.f64 1/2 x) (log.f64 x))
✓	0.2b	(-.f64 91893853320467/100000000000000 (+.f64 (*.f64 (-.f64 1/2 x) (log.f64 x)) x))
	0.3b	(/.f64 83333333333333/1000000000000000 x)

Compiler

Compiled 53 to 33 computations (37.7% saved)

series5.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite164.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

939×	`prod-diff_binary64`
474×	`log-prod_binary64`
311×	`fma-def_binary64`
284×	`pow2_binary64`
196×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	213	32
2	2985	32

Stop Event

1×	node limit

Counts

3 → 141

Calls

Call 1

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

Outputs

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

simplify473.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

1343×	`associate--l-_binary64`
700×	`unsub-neg_binary64`
521×	`fma-def_binary64`
445×	`+-commutative_binary64`
414×	`sub-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	49	580
1	153	491
2	438	395
3	1314	359
4	4010	359
5	5007	359
6	5845	359
7	6390	359
8	6612	359
9	6691	359
10	6711	359
11	6711	359
12	6827	359
13	6827	359

Stop Event

1×	node limit

Counts

177 → 164

Calls

Call 1

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

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

localize94.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (+.f64 y 7936500793651/10000000000000000) z)
✓	0.1b	(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)
✓	0.3b	(fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 (-.f64 x 91893853320467/100000000000000)))
	5.4b	(/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)

Compiler

Compiled 105 to 71 computations (32.4% saved)

series6.0ms (0%)

Counts

3 → 60

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	z	@	inf	(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)
1.0ms	x	@	-inf	(fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 (-.f64 x 91893853320467/100000000000000)))
0.0ms	z	@	-inf	(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)
0.0ms	x	@	0	(fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 (-.f64 x 91893853320467/100000000000000)))
0.0ms	x	@	inf	(fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 (-.f64 x 91893853320467/100000000000000)))

rewrite133.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

376×	`prod-diff_binary64`
354×	`fma-def_binary64`
330×	`expm1-udef_binary64`
330×	`log1p-udef_binary64`
267×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	33
1	387	31
2	4975	31

Stop Event

1×	node limit

Counts

3 → 147

Calls

Call 1

Inputs

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

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

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

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) z) (*.f64 -13888888888889/5000000000000000 z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z (*.f64 (+.f64 y 7936500793651/10000000000000000) z)) (*.f64 z -13888888888889/5000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 3) -2679183813443137002743484225480109739369/125000000000000000000000000000000000000000000000) z) (+.f64 (pow.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 2) (fma.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 z 13888888888889/5000000000000000) 192901234567904320987654321/25000000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 2) -192901234567904320987654321/25000000000000000000000000000000) z) (fma.f64 (+.f64 y 7936500793651/10000000000000000) z 13888888888889/5000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (+.f64 (pow.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 3) -2679183813443137002743484225480109739369/125000000000000000000000000000000000000000000000)) (+.f64 (pow.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 2) (fma.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 z 13888888888889/5000000000000000) 192901234567904320987654321/25000000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (+.f64 (pow.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 2) -192901234567904320987654321/25000000000000000000000000000000)) (fma.f64 (+.f64 y 7936500793651/10000000000000000) z 13888888888889/5000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)) z))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 z 3) (pow.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 3) (pow.f64 z 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z (*.f64 (+.f64 y 7936500793651/10000000000000000) z) (*.f64 z -13888888888889/5000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) z (*.f64 -13888888888889/5000000000000000 z))))))

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

simplify85.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

818×	`fma-neg_binary64`
662×	`unsub-neg_binary64`
661×	`fma-def_binary64`
473×	`sub-neg_binary64`
352×	`associate-l_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	53	668
1	144	662
2	361	608
3	1025	563
4	3356	545
5	6722	545

Stop Event

1×	node limit

Counts

207 → 171

Calls

Call 1

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

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

localize40.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000)
	0.3b	(/.f64 1 (sqrt.f64 x))
✓	0.4b	(*.f64 83333333333333/1000000000000000 (sqrt.f64 (/.f64 1 x)))
✓	0.4b	(.f64 (/.f64 1 (sqrt.f64 x)) (.f64 83333333333333/1000000000000000 (sqrt.f64 (/.f64 1 x))))

Compiler

Compiled 89 to 59 computations (33.7% saved)

series4.0ms (0%)

Counts

2 → 12

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(*.f64 83333333333333/1000000000000000 (sqrt.f64 (/.f64 1 x)))
1.0ms	x	@	-inf	(*.f64 83333333333333/1000000000000000 (sqrt.f64 (/.f64 1 x)))
0.0ms	x	@	inf	(*.f64 83333333333333/1000000000000000 (sqrt.f64 (/.f64 1 x)))
0.0ms	x	@	0	(.f64 (/.f64 1 (sqrt.f64 x)) (.f64 83333333333333/1000000000000000 (sqrt.f64 (/.f64 1 x))))
0.0ms	x	@	-inf	(.f64 (/.f64 1 (sqrt.f64 x)) (.f64 83333333333333/1000000000000000 (sqrt.f64 (/.f64 1 x))))

rewrite79.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

782×	`pow1_binary64`
728×	`add-log-exp_binary64`
728×	`log1p-expm1-u_binary64`
728×	`expm1-log1p-u_binary64`
710×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	207	10
2	2179	10

Stop Event

1×	node limit

Counts

2 → 39

Calls

Call 1

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

simplify9.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	48

Stop Event

1×

saturated

Counts

51 → 40

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)

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)

eval847.0ms (4.3%)

Compiler: Compiled 22333 to 14814 computations (33.7% saved)

prune235.0ms (1.2%)

Pruning

42 alts after pruning (40 fresh and 2 done)

	Pruned	Kept	Total
New	810	21	831
Fresh	11	19	30
Picked	1	0	1
Done	2	2	4
Total	824	42	866

Error

Counts

866 → 42

Alt Table

Click to see full alt table

Status	Error	Program
	42.4b	(+.f64 (pow.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) 2) (.f64 (/.f64 y x) (.f64 z z)))
	34.3b	(+.f64 91893853320467/100000000000000 (/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
	11.6b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (cbrt.f64 (.f64 83333333333333/1000000000000000 (/.f64 83333333333333/1000000000000000 x))) (/.f64 (sqrt.f64 x) (cbrt.f64 (/.f64 83333333333333/1000000000000000 (sqrt.f64 x))))))
▶	32.3b	(.f64 -1 (-.f64 x (.f64 x (log.f64 x))))
	42.3b	(+.f64 (pow.f64 (.f64 x 1000000000000000/83333333333333) -1) (.f64 (/.f64 y x) (*.f64 z z)))
	32.5b	(.f64 -1 (.f64 (+.f64 1 (cbrt.f64 (pow.f64 (neg.f64 (log.f64 x)) 3))) x))
	11.5b	(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (/.f64 83333333333333/1000000000000000 (sqrt.f64 x)) (sqrt.f64 x)))
	42.4b	(+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (*.f64 z z) (/.f64 x y)))
	42.9b	(+.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 91893853320467/100000000000000 (*.f64 1/2 (log.f64 x))))
	50.6b	(+.f64 (sqrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (.f64 x x))) (.f64 (/.f64 y x) (*.f64 z z)))
	32.4b	(.f64 -1 (/.f64 (.f64 (-.f64 1 (*.f64 (log.f64 x) (log.f64 x))) x) (+.f64 1 (log.f64 x))))
	37.2b	(+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 y (/.f64 x (*.f64 z z))))
	35.0b	(+.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 (+.f64 91893853320467/100000000000000 (/.f64 (.f64 (-.f64 (.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z) x)) (*.f64 1/2 (log.f64 x))))
	51.4b	(/.f64 (+.f64 x (.f64 (.f64 x 1000000000000000/83333333333333) (.f64 y (.f64 z z)))) (.f64 (.f64 x 1000000000000000/83333333333333) x))
	32.9b	(.f64 -1 (/.f64 (.f64 (+.f64 1 (pow.f64 (neg.f64 (log.f64 x)) 3)) x) (+.f64 1 (-.f64 (*.f64 (log.f64 x) (log.f64 x)) (neg.f64 (log.f64 x))))))
▶	11.5b	(+.f64 (.f64 (/.f64 1 x) 83333333333333/1000000000000000) (-.f64 91893853320467/100000000000000 (+.f64 (.f64 (-.f64 1/2 x) (log.f64 x)) x)))
✓	11.4b	(+.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 91893853320467/100000000000000 (+.f64 (*.f64 (-.f64 1/2 x) (log.f64 x)) x)))
	11.4b	(-.f64 (+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) 91893853320467/100000000000000) (+.f64 (.f64 (-.f64 1/2 x) (log.f64 x)) x))
	32.7b	(.f64 -1 (.f64 (+.f64 1 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 x))) 3)) x))
✓	42.4b	(+.f64 (/.f64 83333333333333/1000000000000000 x) (.f64 (/.f64 y x) (.f64 z z)))
	11.5b	(+.f64 (pow.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) 2) (-.f64 91893853320467/100000000000000 (+.f64 (*.f64 (-.f64 1/2 x) (log.f64 x)) x)))
	38.3b	(+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (.f64 83333333333333/1000000000000000 (/.f64 1 x)))
	32.8b	(+.f64 (pow.f64 (.f64 x 1000000000000000/83333333333333) -1) (.f64 z (*.f64 (+.f64 y 7936500793651/10000000000000000) (/.f64 z x))))
▶	42.4b	(/.f64 83333333333333/1000000000000000 x)
	42.9b	(+.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 91893853320467/100000000000000 (+.f64 (*.f64 1/2 (log.f64 x)) x)))
	22.2b	(+.f64 (+.f64 (-.f64 (pow.f64 (sqrt.f64 (.f64 (+.f64 x -1/2) (log.f64 x))) 2) x) 91893853320467/100000000000000) (.f64 z (*.f64 z (/.f64 (+.f64 7936500793651/10000000000000000 y) x))))
	32.1b	(+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 (/.f64 z x) (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000)))
	32.3b	(.f64 -1 (.f64 (log.f64 (*.f64 (/.f64 1 x) (E.f64))) x))
	37.2b	(+.f64 (/.f64 83333333333333/1000000000000000 x) (.f64 y (/.f64 (.f64 z z) x)))
	32.9b	(+.f64 (/.f64 83333333333333/1000000000000000 x) (.f64 z (.f64 (+.f64 y 7936500793651/10000000000000000) (/.f64 z x))))
	42.4b	(+.f64 (.f64 (/.f64 1 x) 83333333333333/1000000000000000) (.f64 (/.f64 y x) (*.f64 z z)))
▶	32.8b	(.f64 -1 (pow.f64 (cbrt.f64 (.f64 x (-.f64 1 (log.f64 x)))) 3))
	32.3b	(.f64 -1 (.f64 (-.f64 1 (log.f64 x)) x))
	55.1b	(.f64 (+.f64 (/.f64 y x) (.f64 7936500793651/10000000000000000 (/.f64 1 x))) (pow.f64 z 2))
▶	3.3b	(+.f64 (/.f64 (/.f64 1 x) 1000000000000000/83333333333333) (fma.f64 z (/.f64 (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) x) (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x))))
	11.4b	(+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 (-.f64 x 91893853320467/100000000000000))) (/.f64 83333333333333/1000000000000000 x))
	12.4b	(+.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 (*.f64 x (log.f64 x)) x))
	32.7b	(.f64 -1 (.f64 (pow.f64 (cbrt.f64 (-.f64 1 (log.f64 x))) 3) x))
	38.2b	(+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (.f64 y (.f64 z z)) x))
	30.5b	(+.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 91893853320467/100000000000000 (+.f64 (/.f64 (.f64 (-.f64 1/4 (.f64 x x)) (log.f64 x)) (+.f64 1/2 x)) x)))
	22.6b	(+.f64 (-.f64 (.f64 x (log.f64 x)) x) (.f64 z (*.f64 z (/.f64 (+.f64 7936500793651/10000000000000000 y) x))))
	32.5b	(.f64 -1 (.f64 (cbrt.f64 (pow.f64 (-.f64 1 (log.f64 x)) 3)) x))

Compiler

Compiled 1407 to 1038 computations (26.2% saved)

localize222.0ms (1.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(fma.f64 (log.f64 x) (-.f64 1/2 x) x)
✓	0.3b	(/.f64 (/.f64 1 x) 1000000000000000/83333333333333)
	1.2b	(fma.f64 z (/.f64 (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) x) (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)))
	1.8b	(/.f64 (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) x)

Compiler

Compiled 102 to 64 computations (37.3% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(/.f64 (/.f64 1 x) 1000000000000000/83333333333333)
0.0ms	x	@	inf	(/.f64 (/.f64 1 x) 1000000000000000/83333333333333)
0.0ms	x	@	-inf	(/.f64 (/.f64 1 x) 1000000000000000/83333333333333)

rewrite65.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

545×	`pow1_binary64`
513×	`add-log-exp_binary64`
513×	`log1p-expm1-u_binary64`
513×	`expm1-log1p-u_binary64`
504×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	129	4
2	1499	4

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

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

Outputs

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

simplify13.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	48

Stop Event

1×

saturated

Counts

35 → 24

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)

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)

localize4.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
	0.3b	(/.f64 83333333333333/1000000000000000 x)

Compiler

Compiled 8 to 6 computations (25% saved)

localize10.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(-.f64 x (*.f64 x (log.f64 x)))
✓	0.3b	(*.f64 x (log.f64 x))

Compiler

Compiled 25 to 9 computations (64% saved)

series13.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
6.0ms	x	@	-inf	(*.f64 x (log.f64 x))
4.0ms	x	@	0	(*.f64 x (log.f64 x))
1.0ms	x	@	inf	(*.f64 x (log.f64 x))
0.0ms	x	@	0	(-.f64 x (*.f64 x (log.f64 x)))
0.0ms	x	@	-inf	(-.f64 x (*.f64 x (log.f64 x)))

rewrite73.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

630×	`pow1_binary64`
587×	`add-log-exp_binary64`
587×	`log1p-expm1-u_binary64`
587×	`expm1-log1p-u_binary64`
575×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	15
1	111	15
2	1614	15

Stop Event

1×	node limit

Counts

2 → 49

Calls

Call 1

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

simplify318.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

4124×	`fma-neg_binary64`
837×	`unsub-neg_binary64`
759×	`distribute-rgt-in_binary64`
603×	`distribute-lft-in_binary64`
413×	`distribute-rgt-neg-out_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	180
1	60	180
2	127	180
3	310	180
4	619	180
5	1615	180
6	4016	180
7	4824	180
8	5099	180
9	5175	180
10	5209	180
11	5213	180
12	6407	180
13	7095	180
14	7433	180
15	7709	180
16	7709	180
17	7844	180
18	7848	180
19	7940	180
20	7940	180
21	7940	180
22	7940	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 1 (log.f64 x)) x)
(*.f64 (-.f64 1 (log.f64 x)) x)
(*.f64 (-.f64 1 (log.f64 x)) x)
(*.f64 (-.f64 1 (log.f64 x)) x)
(.f64 (-.f64 1 (.f64 -1 (log.f64 (/.f64 1 x)))) x)
(.f64 (-.f64 1 (.f64 -1 (log.f64 (/.f64 1 x)))) x)
(.f64 (-.f64 1 (.f64 -1 (log.f64 (/.f64 1 x)))) x)
(.f64 (-.f64 1 (.f64 -1 (log.f64 (/.f64 1 x)))) x)
(.f64 (+.f64 1 (.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x)
(.f64 (+.f64 1 (.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x)
(.f64 (+.f64 1 (.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x)
(.f64 (+.f64 1 (.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x)

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

localize229.0ms (1.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 61 to 40 computations (34.4% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite64.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

495×	`pow1_binary64`
484×	`add-sqr-sqrt_binary64`
461×	`add-log-exp_binary64`
461×	`log1p-expm1-u_binary64`
461×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	4
1	120	4
2	1312	4

Stop Event

1×	node limit

Counts

1 → 16

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 83333333333333/1000000000000000 x)) 1)))) (#(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 -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 (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 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 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)))))))

simplify9.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	48

Stop Event

1×

saturated

Counts

28 → 16

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)

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)

localize23.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 1 (log.f64 x))
✓	0.3b	(*.f64 x (-.f64 1 (log.f64 x)))
✓	0.6b	(cbrt.f64 (*.f64 x (-.f64 1 (log.f64 x))))
✓	0.7b	(pow.f64 (cbrt.f64 (*.f64 x (-.f64 1 (log.f64 x)))) 3)

Compiler

Compiled 46 to 30 computations (34.8% saved)

series7.0ms (0%)

Counts

4 → 20

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (*.f64 x (-.f64 1 (log.f64 x)))) 3)
1.0ms	x	@	0	(pow.f64 (cbrt.f64 (*.f64 x (-.f64 1 (log.f64 x)))) 3)
1.0ms	x	@	-inf	(*.f64 x (-.f64 1 (log.f64 x)))
1.0ms	x	@	inf	(pow.f64 (cbrt.f64 (*.f64 x (-.f64 1 (log.f64 x)))) 3)
0.0ms	x	@	-inf	(cbrt.f64 (*.f64 x (-.f64 1 (log.f64 x))))

rewrite79.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

765×	`pow1_binary64`
719×	`add-log-exp_binary64`
718×	`log1p-expm1-u_binary64`
718×	`expm1-log1p-u_binary64`
704×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	35
1	188	35
2	1974	35

Stop Event

1×	node limit

Counts

4 → 108

Calls

Call 1

Inputs
(pow.f64 (cbrt.f64 (*.f64 x (-.f64 1 (log.f64 x)))) 3)
(cbrt.f64 (*.f64 x (-.f64 1 (log.f64 x))))
(*.f64 x (-.f64 1 (log.f64 x)))
(-.f64 1 (log.f64 x))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (.f64 (neg.f64 (log.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (.f64 x (neg.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (.f64 x (-.f64 1 (log.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 x (-.f64 1 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 x (-.f64 1 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 1 (log.f64 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x (-.f64 1 (log.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 x (-.f64 1 (log.f64 x)))) (pow.f64 (cbrt.f64 (.f64 x (-.f64 1 (log.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 x (-.f64 1 (log.f64 x)))) 2) (cbrt.f64 (.f64 x (-.f64 1 (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (-.f64 1 (log.f64 x))) 2) (.f64 (cbrt.f64 (-.f64 1 (log.f64 x))) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 x) (.f64 (cbrt.f64 (-.f64 1 (log.f64 x))) (pow.f64 (cbrt.f64 (.f64 x (-.f64 1 (log.f64 x)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (-.f64 1 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (-.f64 1 (log.f64 x))))) 2) (.f64 (cbrt.f64 (cbrt.f64 (.f64 x (-.f64 1 (log.f64 x))))) (pow.f64 (cbrt.f64 (.f64 x (-.f64 1 (log.f64 x)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (-.f64 1 (log.f64 x))) (.f64 (sqrt.f64 (-.f64 1 (log.f64 x))) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (-.f64 1 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 x (-.f64 1 (log.f64 x)))) (sqrt.f64 (.f64 x (-.f64 1 (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 x (-.f64 1 (log.f64 x))) 1/6) (.f64 (pow.f64 (.f64 x (-.f64 1 (log.f64 x))) 1/6) (pow.f64 (cbrt.f64 (.f64 x (-.f64 1 (log.f64 x)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (-.f64 1 (log.f64 x))))) 2) 3) (cbrt.f64 (.f64 x (-.f64 1 (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (.f64 x (-.f64 1 (log.f64 x))) 1/6) 3) (pow.f64 (pow.f64 (.f64 x (-.f64 1 (log.f64 x))) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x (pow.f64 (cbrt.f64 (-.f64 1 (log.f64 x))) 2)) (cbrt.f64 (-.f64 1 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x (sqrt.f64 (-.f64 1 (log.f64 x)))) (sqrt.f64 (-.f64 1 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 1 (log.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 1 (log.f64 x)) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (cbrt.f64 (.f64 x (-.f64 1 (log.f64 x)))) 2) 1) (cbrt.f64 (.f64 x (-.f64 1 (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (cbrt.f64 (.f64 x (-.f64 1 (log.f64 x)))) 2) (cbrt.f64 x)) (cbrt.f64 (-.f64 1 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (cbrt.f64 (.f64 x (-.f64 1 (log.f64 x)))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (-.f64 1 (log.f64 x))))) 2)) (cbrt.f64 (cbrt.f64 (.f64 x (-.f64 1 (log.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (cbrt.f64 (.f64 x (-.f64 1 (log.f64 x)))) 2) (pow.f64 (.f64 x (-.f64 1 (log.f64 x))) 1/6)) (pow.f64 (.f64 x (-.f64 1 (log.f64 x))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 1 (pow.f64 (log.f64 x) 3)) x) (+.f64 1 (.f64 (log.f64 x) (+.f64 1 (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 1 (pow.f64 (log.f64 x) 2)) x) (+.f64 1 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (-.f64 1 (pow.f64 (log.f64 x) 3))) (+.f64 1 (.f64 (log.f64 x) (+.f64 1 (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (-.f64 1 (pow.f64 (log.f64 x) 2))) (+.f64 1 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 x (-.f64 1 (log.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (/.f64 (E.f64) x) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 x (-.f64 1 (log.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 x 3) (pow.f64 (-.f64 1 (log.f64 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (-.f64 1 (log.f64 x)) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 x (-.f64 1 (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 (/.f64 (E.f64) x) x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 x (-.f64 1 (log.f64 x)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (.f64 x (-.f64 1 (log.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cbrt.f64 (.f64 x (-.f64 1 (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 x (-.f64 1 (log.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (-.f64 1 (log.f64 x))) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 x) (cbrt.f64 (-.f64 1 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (.f64 x (-.f64 1 (log.f64 x))))) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (-.f64 1 (log.f64 x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (.f64 x (-.f64 1 (log.f64 x))))) (pow.f64 (pow.f64 (cbrt.f64 (.f64 x (-.f64 1 (log.f64 x)))) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (-.f64 1 (log.f64 x))))) 2) (cbrt.f64 (cbrt.f64 (.f64 x (-.f64 1 (log.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 x (-.f64 1 (log.f64 x))) 1/6) (pow.f64 (.f64 x (-.f64 1 (log.f64 x))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/3) (cbrt.f64 (.f64 x (-.f64 1 (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 x (-.f64 1 (log.f64 x)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (.f64 x (-.f64 1 (log.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (.f64 x (-.f64 1 (log.f64 x)))) 1/3) (pow.f64 (sqrt.f64 (.f64 x (-.f64 1 (log.f64 x)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (-.f64 1 (log.f64 x))) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 x (-.f64 1 (log.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (-.f64 1 (log.f64 x))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 x (-.f64 1 (log.f64 x))) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (.f64 x (-.f64 1 (log.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (.f64 x (-.f64 1 (log.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (.f64 x (-.f64 1 (log.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (.f64 x (-.f64 1 (log.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (.f64 x (-.f64 1 (log.f64 x))))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (.f64 (neg.f64 (log.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (.f64 x (neg.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (.f64 x (-.f64 1 (log.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 1 (pow.f64 (log.f64 x) 3)) x) (+.f64 1 (.f64 (log.f64 x) (+.f64 1 (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 1 (pow.f64 (log.f64 x) 2)) x) (+.f64 1 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (-.f64 1 (pow.f64 (log.f64 x) 3))) (+.f64 1 (.f64 (log.f64 x) (+.f64 1 (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (-.f64 1 (pow.f64 (log.f64 x) 2))) (+.f64 1 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (-.f64 1 (log.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 x (-.f64 1 (log.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 x (-.f64 1 (log.f64 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (.f64 x (-.f64 1 (log.f64 x)))) 2) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 x (-.f64 1 (log.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 x (-.f64 1 (log.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (/.f64 (E.f64) x) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 x (-.f64 1 (log.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 x 3) (pow.f64 (-.f64 1 (log.f64 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (-.f64 1 (log.f64 x)) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 x (-.f64 1 (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 (/.f64 (E.f64) x) x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 x (-.f64 1 (log.f64 x)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (neg.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (.f64 (neg.f64 (log.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (log.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (-.f64 1 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 1 (log.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (-.f64 1 (log.f64 x))) (pow.f64 (cbrt.f64 (-.f64 1 (log.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (-.f64 1 (log.f64 x))) 2) (cbrt.f64 (-.f64 1 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (-.f64 1 (log.f64 x))) (sqrt.f64 (-.f64 1 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 1 (pow.f64 (log.f64 x) 3)) (/.f64 1 (+.f64 1 (.f64 (log.f64 x) (+.f64 1 (log.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 1 (pow.f64 (log.f64 x) 2)) (/.f64 1 (+.f64 1 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (.f64 (log.f64 x) (+.f64 1 (log.f64 x)))) (-.f64 1 (pow.f64 (log.f64 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (log.f64 x)) (-.f64 1 (pow.f64 (log.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (log.f64 x) 3)) (+.f64 1 (.f64 (log.f64 x) (+.f64 1 (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (log.f64 x) 2)) (+.f64 1 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (log.f64 x) 3))) (neg.f64 (+.f64 1 (.f64 (log.f64 x) (+.f64 1 (log.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (log.f64 x) 2))) (neg.f64 (+.f64 1 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (neg.f64 (log.f64 x)) 3)) (+.f64 1 (-.f64 (.f64 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 x))) (neg.f64 (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (.f64 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 x)))) (-.f64 1 (neg.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (log.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (log.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 1 (log.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 1 (log.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 1 (log.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (E.f64) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 1 (log.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 1 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (/.f64 (E.f64) x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (neg.f64 (log.f64 x))))))))

simplify130.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

779×	`unsub-neg_binary64`
744×	`fma-def_binary64`
721×	`distribute-rgt-in_binary64`
588×	`distribute-lft-in_binary64`
354×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	188
1	44	156
2	86	156
3	218	156
4	645	156
5	1701	156
6	4649	156
7	6194	156
8	6555	156
9	6664	156
10	6699	156
11	6705	156
12	7905	156

Stop Event

1×	node limit

Counts

128 → 99

Calls

Call 1

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

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

eval268.0ms (1.4%)

Compiler: Compiled 11179 to 7458 computations (33.3% saved)

prune233.0ms (1.2%)

Pruning

40 alts after pruning (34 fresh and 6 done)

	Pruned	Kept	Total
New	506	10	516
Fresh	11	24	35
Picked	0	1	1
Done	1	5	6
Total	518	40	558

Error

Counts

558 → 40

Alt Table

Click to see full alt table

Status	Error	Program
	11.5b	(+.f64 (/.f64 (/.f64 83333333333333/1000000000000000 (sqrt.f64 x)) (sqrt.f64 x)) (-.f64 91893853320467/100000000000000 (+.f64 (*.f64 (-.f64 1/2 x) (log.f64 x)) x)))
	11.6b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (cbrt.f64 (.f64 83333333333333/1000000000000000 (/.f64 83333333333333/1000000000000000 x))) (/.f64 (sqrt.f64 x) (cbrt.f64 (/.f64 83333333333333/1000000000000000 (sqrt.f64 x))))))
	34.3b	(+.f64 91893853320467/100000000000000 (/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
✓	32.3b	(.f64 -1 (-.f64 x (.f64 x (log.f64 x))))
	42.4b	(+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (*.f64 z z) (/.f64 x y)))
	42.5b	(pow.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) 2)
	42.9b	(+.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 91893853320467/100000000000000 (*.f64 1/2 (log.f64 x))))
	37.2b	(+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 y (/.f64 x (*.f64 z z))))
	42.3b	(pow.f64 (*.f64 x 1000000000000000/83333333333333) -1)
	35.0b	(+.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 (+.f64 91893853320467/100000000000000 (/.f64 (.f64 (-.f64 (.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z) x)) (*.f64 1/2 (log.f64 x))))
	51.4b	(/.f64 (+.f64 x (.f64 (.f64 x 1000000000000000/83333333333333) (.f64 y (.f64 z z)))) (.f64 (.f64 x 1000000000000000/83333333333333) x))
	32.9b	(.f64 -1 (/.f64 (.f64 (+.f64 1 (pow.f64 (neg.f64 (log.f64 x)) 3)) x) (+.f64 1 (-.f64 (*.f64 (log.f64 x) (log.f64 x)) (neg.f64 (log.f64 x))))))
✓	11.5b	(+.f64 (.f64 (/.f64 1 x) 83333333333333/1000000000000000) (-.f64 91893853320467/100000000000000 (+.f64 (.f64 (-.f64 1/2 x) (log.f64 x)) x)))
✓	11.4b	(+.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 91893853320467/100000000000000 (+.f64 (*.f64 (-.f64 1/2 x) (log.f64 x)) x)))
	11.4b	(-.f64 (+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) 91893853320467/100000000000000) (+.f64 (.f64 (-.f64 1/2 x) (log.f64 x)) x))
	32.7b	(.f64 -1 (.f64 (+.f64 1 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 x))) 3)) x))
✓	42.4b	(+.f64 (/.f64 83333333333333/1000000000000000 x) (.f64 (/.f64 y x) (.f64 z z)))
	11.5b	(+.f64 (pow.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) 2) (-.f64 91893853320467/100000000000000 (+.f64 (*.f64 (-.f64 1/2 x) (log.f64 x)) x)))
	32.8b	(.f64 -1 (-.f64 x (pow.f64 (cbrt.f64 (.f64 x (log.f64 x))) 3)))
	32.9b	(+.f64 (/.f64 (/.f64 1 x) 1000000000000000/83333333333333) (.f64 z (.f64 (+.f64 y 7936500793651/10000000000000000) (/.f64 z x))))
✓	42.4b	(/.f64 83333333333333/1000000000000000 x)
	42.9b	(+.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 91893853320467/100000000000000 (+.f64 (*.f64 1/2 (log.f64 x)) x)))
	32.4b	(.f64 -1 (/.f64 (.f64 (-.f64 1 (pow.f64 (log.f64 x) 2)) x) (+.f64 1 (log.f64 x))))
	22.6b	(+.f64 (-.f64 (.f64 x (log.f64 x)) x) (.f64 z (*.f64 z (/.f64 (+.f64 7936500793651/10000000000000000 y) x))))
	32.3b	(.f64 -1 (.f64 (log.f64 (*.f64 (/.f64 1 x) (E.f64))) x))
	37.2b	(+.f64 (/.f64 83333333333333/1000000000000000 x) (.f64 y (/.f64 (.f64 z z) x)))
	32.9b	(+.f64 (/.f64 83333333333333/1000000000000000 x) (.f64 z (.f64 (+.f64 y 7936500793651/10000000000000000) (/.f64 z x))))
✓	32.8b	(.f64 -1 (pow.f64 (cbrt.f64 (.f64 x (-.f64 1 (log.f64 x)))) 3))
	32.3b	(.f64 -1 (.f64 (-.f64 1 (log.f64 x)) x))
	42.4b	(*.f64 (/.f64 1 x) 83333333333333/1000000000000000)
	55.1b	(.f64 (+.f64 (/.f64 y x) (.f64 7936500793651/10000000000000000 (/.f64 1 x))) (pow.f64 z 2))
	11.4b	(+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 (-.f64 x 91893853320467/100000000000000))) (/.f64 83333333333333/1000000000000000 x))
	12.4b	(+.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 (*.f64 x (log.f64 x)) x))
	32.7b	(.f64 -1 (.f64 (pow.f64 (cbrt.f64 (-.f64 1 (log.f64 x))) 3) x))
	32.5b	(.f64 -1 (.f64 (*.f64 (-.f64 1 (log.f64 x)) (sqrt.f64 x)) (sqrt.f64 x)))
	38.2b	(+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (.f64 y (.f64 z z)) x))
	42.4b	(+.f64 (/.f64 (/.f64 1 x) 1000000000000000/83333333333333) (.f64 (/.f64 y x) (.f64 z z)))
	30.5b	(+.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 91893853320467/100000000000000 (+.f64 (/.f64 (.f64 (-.f64 1/4 (.f64 x x)) (log.f64 x)) (+.f64 1/2 x)) x)))
	32.9b	(.f64 -1 (-.f64 x (pow.f64 (sqrt.f64 (.f64 x (log.f64 x))) 2)))
	32.1b	(+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 (/.f64 z x) (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000)))

Compiler

Compiled 637 to 476 computations (25.3% saved)

regimes1.5s (7.4%)

Counts

92 → 3

Calls

Call 1

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

Outputs

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

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

Calls

9 calls:

291.0ms	(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)
246.0ms	z
224.0ms	(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)
198.0ms	(+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000)
143.0ms	x

Results

Error	Segments	Branch
0.3b	2	`x`
3.3b	1	`y`
0.3b	3	`z`
0.3b	3	`(+.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)`
3.3b	1	`(+.f64 y 7936500793651/10000000000000000)`

Compiler

Compiled 1805 to 1145 computations (36.6% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.112339199794356e+99	3.3308684585407865e+99
0.0ms	-1.8370647055804148e+148	-1.4619773299448181e+134

Compiler

Compiled 33 to 25 computations (24.2% saved)

regimes419.0ms (2.1%)

Counts

46 → 3

Calls

Call 1

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

9 calls:

70.0ms	z
65.0ms	(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)
64.0ms	(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)
63.0ms	(+.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))
49.0ms	x

Results

Error	Segments	Branch
0.3b	2	`x`
5.8b	1	`y`
0.3b	3	`z`
0.3b	3	`(+.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)`
5.8b	1	`(+.f64 y 7936500793651/10000000000000000)`

Compiler

Compiled 743 to 460 computations (38.1% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	8.225247193446512e+92	1.0334372037834413e+95
0.0ms	-1.8370647055804148e+148	-1.4619773299448181e+134

Compiler

Compiled 33 to 25 computations (24.2% saved)

regimes344.0ms (1.7%)

Counts

39 → 2

Calls

Call 1

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

8 calls:

64.0ms	y
60.0ms	(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)
58.0ms	z
53.0ms	(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)
39.0ms	x

Results

Error	Segments	Branch
0.9b	2	`x`
10.4b	3	`y`
3.2b	3	`z`
1.8b	3	`(+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000)`
1.8b	3	`(+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000)`
1.8b	3	`(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)`
1.8b	3	`(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)`
11.4b	1	`(+.f64 y 7936500793651/10000000000000000)`

Compiler

Compiled 604 to 365 computations (39.6% saved)

bsearch23.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
22.0ms	0.0009504912142566779	0.37080441519177043

Compiler

Compiled 83 to 62 computations (25.3% saved)

regimes365.0ms (1.8%)

Counts

37 → 2

Calls

Call 1

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

Outputs

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

Calls

8 calls:

88.0ms	y
63.0ms	z
55.0ms	(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)
54.0ms	(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)
40.0ms	x

Results

Error	Segments	Branch
0.9b	2	`x`
10.4b	3	`y`
3.2b	3	`z`
1.8b	3	`(+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000)`
1.8b	3	`(+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000)`
1.8b	3	`(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)`
1.8b	3	`(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)`
11.4b	1	`(+.f64 y 7936500793651/10000000000000000)`

Compiler

Compiled 560 to 336 computations (40% saved)

bsearch27.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
26.0ms	0.0009504912142566779	0.37080441519177043

Compiler

Compiled 81 to 61 computations (24.7% saved)

regimes483.0ms (2.4%)

Counts

36 → 2

Calls

Call 1

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

Outputs

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

95.0ms	(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)
81.0ms	z
77.0ms	y
66.0ms	(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)
61.0ms	x

Results

Error	Segments	Branch
1.0b	2	`x`
10.4b	3	`y`
3.2b	3	`z`
1.8b	3	`(+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000)`
1.8b	3	`(+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000)`
1.8b	3	`(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)`
1.8b	3	`(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)`
11.4b	1	`(+.f64 y 7936500793651/10000000000000000)`

Compiler

Compiled 540 to 324 computations (40% saved)

bsearch38.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
37.0ms	0.0009504912142566779	0.37080441519177043

Compiler

Compiled 77 to 57 computations (26% saved)

regimes326.0ms (1.7%)

Counts

34 → 2

Calls

Call 1

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

Outputs

(+.f64 91893853320467/100000000000000 (/.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:

73.0ms	x
51.0ms	y
48.0ms	(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)
47.0ms	z
47.0ms	(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)

Results

Error	Segments	Branch
1.3b	2	`x`
10.4b	3	`y`
3.2b	3	`z`
1.8b	3	`(+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000)`
1.8b	3	`(+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000)`
1.8b	3	`(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)`
1.8b	3	`(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)`
11.4b	1	`(+.f64 y 7936500793651/10000000000000000)`

Compiler

Compiled 500 to 296 computations (40.8% saved)

bsearch47.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
46.0ms	0.0009504912142566779	0.37080441519177043

Compiler

Compiled 72 to 53 computations (26.4% saved)

regimes256.0ms (1.3%)

Counts

29 → 2

Calls

Call 1

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

Outputs

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

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

Calls

8 calls:

53.0ms	(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)
51.0ms	(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)
40.0ms	z
39.0ms	x
18.0ms	(+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000)

Results

Error	Segments	Branch
6.6b	2	`x`
11.4b	1	`y`
10.0b	2	`z`
7.3b	4	`(+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000)`
7.3b	4	`(+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000)`
7.3b	4	`(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)`
7.3b	4	`(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)`
11.4b	1	`(+.f64 y 7936500793651/10000000000000000)`

Compiler

Compiled 411 to 249 computations (39.4% saved)

bsearch208.0ms (1.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
208.0ms	4.7093712733224455e-15	2.695324658820724e-9

Compiler

Compiled 366 to 286 computations (21.9% saved)

regimes207.0ms (1%)

Counts

24 → 2

Calls

Call 1

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

Outputs

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

(*.f64 -1 (*.f64 (-.f64 1 (log.f64 x)) x))

Calls

8 calls:

45.0ms	(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)
41.0ms	(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)
34.0ms	z
25.0ms	x
16.0ms	(+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000)

Results

Error	Segments	Branch
6.8b	2	`x`
12.4b	1	`y`
10.9b	2	`z`
8.3b	4	`(+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000)`
8.3b	4	`(+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000)`
8.3b	4	`(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)`
8.3b	4	`(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)`
12.4b	1	`(+.f64 y 7936500793651/10000000000000000)`

Compiler

Compiled 338 to 203 computations (39.9% saved)

bsearch231.0ms (1.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
231.0ms	3157812463152.9795	7484478634927.916

Compiler

Compiled 188 to 150 computations (20.2% saved)

regimes554.0ms (2.8%)

Counts

15 → 2

Calls

Call 1

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

Outputs

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

(*.f64 -1 (-.f64 x (*.f64 x (log.f64 x))))

Calls

9 calls:

141.0ms	y
103.0ms	(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)
91.0ms	(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)
62.0ms	z
58.0ms	(+.f64 y 7936500793651/10000000000000000)

Results

Error	Segments	Branch
6.8b	2	`x`
22.9b	10	`y`
21.9b	8	`z`
27.6b	4	`(+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000)`
27.6b	4	`(+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000)`
20.2b	10	`(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)`
20.2b	10	`(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)`
27.2b	6	`(+.f64 y 7936500793651/10000000000000000)`
27.2b	6	`(+.f64 y 7936500793651/10000000000000000)`

Compiler

Compiled 241 to 149 computations (38.2% saved)

bsearch245.0ms (1.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
244.0ms	3157812463152.9795	7484478634927.916

Compiler

Compiled 188 to 145 computations (22.9% saved)

regimes329.0ms (1.7%)

Counts

14 → 3

Calls

Call 1

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

Outputs

(+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 z (*.f64 (+.f64 y 7936500793651/10000000000000000) (/.f64 z x))))

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

(+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 z (*.f64 (+.f64 y 7936500793651/10000000000000000) (/.f64 z x))))

Calls

8 calls:

96.0ms	x
71.0ms	z
53.0ms	y
36.0ms	(+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000)
22.0ms	(+.f64 y 7936500793651/10000000000000000)

Results

Error	Segments	Branch
31.2b	2	`x`
32.9b	1	`y`
30.9b	3	`z`
32.9b	1	`(+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000)`
32.9b	1	`(+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000)`
32.9b	1	`(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)`
32.9b	1	`(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)`
32.9b	1	`(+.f64 y 7936500793651/10000000000000000)`

Compiler

Compiled 227 to 139 computations (38.8% saved)

bsearch59.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
7.0ms	3.704084591699411e+107	1.4824888159829174e+112
52.0ms	-1.6116662472191313e+74	-3.324164218657173e+59

Compiler

Compiled 105 to 79 computations (24.8% saved)

regimes161.0ms (0.8%)

Counts

11 → 2

Calls

Call 1

Inputs
(/.f64 83333333333333/1000000000000000 x)
(*.f64 (/.f64 1 x) 83333333333333/1000000000000000)
(+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (*.f64 z z) (/.f64 x y)))
(+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 y (/.f64 x (*.f64 z z))))
(+.f64 (/.f64 83333333333333/1000000000000000 x) (.f64 y (/.f64 (.f64 z z) x)))
(+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (.f64 y (.f64 z z)) x))
(+.f64 (/.f64 83333333333333/1000000000000000 x) (.f64 (/.f64 y x) (.f64 z z)))
(+.f64 (/.f64 (/.f64 1 x) 1000000000000000/83333333333333) (.f64 (/.f64 y x) (.f64 z z)))
(+.f64 (.f64 (/.f64 1 x) 83333333333333/1000000000000000) (.f64 (/.f64 y x) (*.f64 z z)))
(+.f64 (/.f64 83333333333333/1000000000000000 x) (.f64 z (.f64 (+.f64 y 7936500793651/10000000000000000) (/.f64 z x))))
(+.f64 (/.f64 (/.f64 1 x) 1000000000000000/83333333333333) (.f64 z (.f64 (+.f64 y 7936500793651/10000000000000000) (/.f64 z x))))

Outputs

(+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 y (/.f64 x (*.f64 z z))))

(+.f64 (/.f64 (/.f64 1 x) 1000000000000000/83333333333333) (*.f64 z (*.f64 (+.f64 y 7936500793651/10000000000000000) (/.f64 z x))))

Calls

4 calls:

89.0ms	x
54.0ms	z
10.0ms	y
5.0ms	(+.f64 y 7936500793651/10000000000000000)

Results

Error	Segments	Branch
31.6b	2	`x`
32.9b	1	`y`
31.6b	3	`z`
32.9b	1	`(+.f64 y 7936500793651/10000000000000000)`

Compiler

Compiled 138 to 76 computations (44.9% saved)

bsearch10.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
10.0ms	5.861721270026692e-169	2.59940878909632e-167

Compiler

Compiled 67 to 49 computations (26.9% saved)

regimes85.0ms (0.4%)

Counts

10 → 2

Calls

Call 1

Inputs
(/.f64 83333333333333/1000000000000000 x)
(*.f64 (/.f64 1 x) 83333333333333/1000000000000000)
(+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (*.f64 z z) (/.f64 x y)))
(+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 y (/.f64 x (*.f64 z z))))
(+.f64 (/.f64 83333333333333/1000000000000000 x) (.f64 y (/.f64 (.f64 z z) x)))
(+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (.f64 y (.f64 z z)) x))
(+.f64 (/.f64 83333333333333/1000000000000000 x) (.f64 (/.f64 y x) (.f64 z z)))
(+.f64 (/.f64 (/.f64 1 x) 1000000000000000/83333333333333) (.f64 (/.f64 y x) (.f64 z z)))
(+.f64 (.f64 (/.f64 1 x) 83333333333333/1000000000000000) (.f64 (/.f64 y x) (*.f64 z z)))
(+.f64 (/.f64 83333333333333/1000000000000000 x) (.f64 z (.f64 (+.f64 y 7936500793651/10000000000000000) (/.f64 z x))))

Outputs

(+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 y (/.f64 x (*.f64 z z))))

(+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 z (*.f64 (+.f64 y 7936500793651/10000000000000000) (/.f64 z x))))

Calls

4 calls:

46.0ms	y
18.0ms	z
13.0ms	x
5.0ms	(+.f64 y 7936500793651/10000000000000000)

Results

Error	Segments	Branch
31.6b	2	`x`
32.9b	1	`y`
31.6b	3	`z`
32.9b	1	`(+.f64 y 7936500793651/10000000000000000)`

Compiler

Compiled 123 to 67 computations (45.5% saved)

bsearch10.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
10.0ms	5.861721270026692e-169	2.59940878909632e-167

Compiler

Compiled 65 to 47 computations (27.7% saved)

regimes58.0ms (0.3%)

Counts

9 → 1

Calls

Call 1

Inputs
(/.f64 83333333333333/1000000000000000 x)
(*.f64 (/.f64 1 x) 83333333333333/1000000000000000)
(+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (*.f64 z z) (/.f64 x y)))
(+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 y (/.f64 x (*.f64 z z))))
(+.f64 (/.f64 83333333333333/1000000000000000 x) (.f64 y (/.f64 (.f64 z z) x)))
(+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (.f64 y (.f64 z z)) x))
(+.f64 (/.f64 83333333333333/1000000000000000 x) (.f64 (/.f64 y x) (.f64 z z)))
(+.f64 (/.f64 (/.f64 1 x) 1000000000000000/83333333333333) (.f64 (/.f64 y x) (.f64 z z)))
(+.f64 (.f64 (/.f64 1 x) 83333333333333/1000000000000000) (.f64 (/.f64 y x) (*.f64 z z)))

Outputs
(+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 y (/.f64 x (*.f64 z z))))

Calls

3 calls:

43.0ms	z
6.0ms	y
6.0ms	x

Results

Error	Segments	Branch
37.2b	1	`x`
37.2b	1	`y`
37.2b	1	`z`

Compiler

Compiled 104 to 54 computations (48.1% saved)

regimes25.0ms (0.1%)

Counts

3 → 3

Calls

Call 1

Inputs
(/.f64 83333333333333/1000000000000000 x)
(*.f64 (/.f64 1 x) 83333333333333/1000000000000000)
(+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (*.f64 z z) (/.f64 x y)))

Outputs

(+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (*.f64 z z) (/.f64 x y)))

(/.f64 83333333333333/1000000000000000 x)

(+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (*.f64 z z) (/.f64 x y)))

Calls

3 calls:

11.0ms	z
9.0ms	x
4.0ms	y

Results

Error	Segments	Branch
38.9b	2	`x`
42.4b	1	`y`
38.4b	3	`z`

Compiler

Compiled 34 to 24 computations (29.4% saved)

bsearch71.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
35.0ms	2.0937595132892643e-125	7.266014094131487e-120
35.0ms	-1.7426544281853126e-82	-5.0347395142022864e-89

Compiler

Compiled 33 to 25 computations (24.2% saved)

regimes13.0ms (0.1%)

Accuracy

Total -0.1b remaining (-0.1%)

Threshold costs -0.1b (-0.1%)

Counts

2 → 1

Calls

Call 1

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

Outputs
(/.f64 83333333333333/1000000000000000 x)

Calls

3 calls:

3.0ms	x
3.0ms	z
3.0ms	y

Results

Error	Segments	Branch
42.4b	1	`x`
42.4b	1	`y`
42.4b	1	`z`

Compiler

Compiled 23 to 18 computations (21.7% saved)

simplify125.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

54×	`cancel-sign-sub-inv_binary64`
52×	`distribute-rgt-neg-in_binary64`
42×	`+-commutative_binary64`
36×	`distribute-lft-neg-in_binary64`
33×	`distribute-neg-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	115	839
1	181	839
2	225	837
3	269	833
4	312	833
5	369	833
6	439	833
7	503	833
8	541	833
9	549	833

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) -10000000000000000489767265751505205795722270035307438887450423745901682635933847561612315292472764637931130646815102767620534329186625852171022761984) (+.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) 3199999999999999992609184784459865622291601535756922845457819646915122769540149647293181839317925888) (+.f64 (fma.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 (-.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) -10000000000000000489767265751505205795722270035307438887450423745901682635933847561612315292472764637931130646815102767620534329186625852171022761984) (+.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) 1000000000000000043377296974619186073290293324951939311791773789336116812889681110941323755520) (+.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 x (log.f64 x)) x) (.f64 z (*.f64 z (/.f64 (+.f64 7936500793651/10000000000000000 y) x))))))
(if (<=.f64 x 184467440737095520/18446744073709551616) (+.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 (+.f64 91893853320467/100000000000000 (/.f64 (.f64 (-.f64 (.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z) x)) (.f64 1/2 (log.f64 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 x 184467440737095520/18446744073709551616) (+.f64 (+.f64 (.f64 -1/2 (log.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 z (.f64 z (/.f64 (+.f64 7936500793651/10000000000000000 y) x)))))
(if (<=.f64 x 184467440737095520/18446744073709551616) (+.f64 (+.f64 (.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.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)))))
(if (<=.f64 x 184467440737095520/18446744073709551616) (+.f64 91893853320467/100000000000000 (/.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)))))
(if (<=.f64 x 6084722881095501/1267650600228229401496703205376) (+.f64 91893853320467/100000000000000 (/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) (+.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 91893853320467/100000000000000 (+.f64 (*.f64 (-.f64 1/2 x) (log.f64 x)) x))))
(if (<=.f64 x 209715200000000000/65536) (+.f64 91893853320467/100000000000000 (/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) (.f64 -1 (.f64 (-.f64 1 (log.f64 x)) x)))
(if (<=.f64 x 209715200000000000/65536) (+.f64 91893853320467/100000000000000 (/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) (.f64 -1 (-.f64 x (.f64 x (log.f64 x)))))
(if (<=.f64 z -10000000000000000725314363815292351261583744096465219555182101554790400) (+.f64 (/.f64 83333333333333/1000000000000000 x) (.f64 z (.f64 (+.f64 y 7936500793651/10000000000000000) (/.f64 z x)))) (if (<=.f64 z 100000000000000002356936751417025583324953279505688186312991253926828166846616173259830936159244951026231410688) (+.f64 91893853320467/100000000000000 (/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) (+.f64 (/.f64 83333333333333/1000000000000000 x) (.f64 z (.f64 (+.f64 y 7936500793651/10000000000000000) (/.f64 z x))))))
(if (<=.f64 x 4249103942534137/4249103942534136789516705652419749018636744941816255385595553105603228478886817941913300018121834285351114635889972008122772634701221657915276159830132698815550650166683145752253825024) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 y (/.f64 x (.f64 z z)))) (+.f64 (/.f64 (/.f64 1 x) 1000000000000000/83333333333333) (.f64 z (*.f64 (+.f64 y 7936500793651/10000000000000000) (/.f64 z x)))))
(if (<=.f64 x 4249103942534137/4249103942534136789516705652419749018636744941816255385595553105603228478886817941913300018121834285351114635889972008122772634701221657915276159830132698815550650166683145752253825024) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 y (/.f64 x (.f64 z z)))) (+.f64 (/.f64 83333333333333/1000000000000000 x) (.f64 z (*.f64 (+.f64 y 7936500793651/10000000000000000) (/.f64 z x)))))
(+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 y (/.f64 x (*.f64 z z))))
(if (<=.f64 z -5955659626710391/34175792574734561318320347298712833833643272357706444319152665725155515612490248800367393390985216) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (.f64 z z) (/.f64 x y))) (if (<=.f64 z 7978748443995457/381072821083495145432323880589986121307201921712032611188861933548019011086397170424842053596617672260721060927906081896416989218663120764928) (/.f64 83333333333333/1000000000000000 x) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (.f64 z z) (/.f64 x y)))))
(/.f64 83333333333333/1000000000000000 x)

Outputs
(if (<=.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) -10000000000000000489767265751505205795722270035307438887450423745901682635933847561612315292472764637931130646815102767620534329186625852171022761984) (+.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) 3199999999999999992609184784459865622291601535756922845457819646915122769540149647293181839317925888) (+.f64 (fma.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 (-.f64 (.f64 x (log.f64 x)) x) (.f64 z (.f64 z (/.f64 (+.f64 7936500793651/10000000000000000 y) x))))))
(if (<=.f64 (.f64 z (+.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) -13888888888889/5000000000000000)) -10000000000000000489767265751505205795722270035307438887450423745901682635933847561612315292472764637931130646815102767620534329186625852171022761984) (+.f64 (-.f64 (.f64 x (log.f64 x)) x) (.f64 z (.f64 z (/.f64 (+.f64 y 7936500793651/10000000000000000) x)))) (if (<=.f64 (.f64 z (+.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) -13888888888889/5000000000000000)) 3199999999999999992609184784459865622291601535756922845457819646915122769540149647293181839317925888) (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 (+.f64 x -91893853320467/100000000000000))) (/.f64 (+.f64 (.f64 z (+.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) -13888888888889/5000000000000000)) 83333333333333/1000000000000000) x)) (+.f64 (-.f64 (.f64 x (log.f64 x)) x) (.f64 z (.f64 z (/.f64 (+.f64 y 7936500793651/10000000000000000) x))))))
(if (<=.f64 (.f64 z (+.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) -13888888888889/5000000000000000)) -10000000000000000489767265751505205795722270035307438887450423745901682635933847561612315292472764637931130646815102767620534329186625852171022761984) (+.f64 (-.f64 (.f64 x (log.f64 x)) x) (.f64 z (.f64 z (/.f64 (+.f64 y 7936500793651/10000000000000000) x)))) (if (<=.f64 (.f64 z (+.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) -13888888888889/5000000000000000)) 3199999999999999992609184784459865622291601535756922845457819646915122769540149647293181839317925888) (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (+.f64 (neg.f64 x) 91893853320467/100000000000000)) (/.f64 (+.f64 (.f64 z (+.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) -13888888888889/5000000000000000)) 83333333333333/1000000000000000) x)) (+.f64 (-.f64 (.f64 x (log.f64 x)) x) (.f64 z (.f64 z (/.f64 (+.f64 y 7936500793651/10000000000000000) x))))))
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(/.f64 83333333333333/1000000000000000 x)

Compiler

Compiled 606 to 404 computations (33.3% saved)

soundness253.0ms (1.3%)

Algorithm

2×	egg-herbie

Rules

447×	`associate-/l/_binary64`
447×	`associate-/l/_binary64`
432×	`distribute-rgt-out_binary64`
432×	`distribute-rgt-out_binary64`
372×	`associate-/r/_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
0	83	1254
1	225	1155
2	549	1086
3	1600	972
4	4532	972

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 166 to 123 computations (25.9% saved)

end640.0ms (3.2%)

Compiler: Compiled 564 to 337 computations (40.2% saved)

Iter	Nodes	Cost
0	115	839
1	181	839
2	225	837
3	269	833
4	312	833
5	369	833
6	439	833
7	503	833
8	541	833
9	549	833

Iter	Nodes	Cost
0	115	839
1	181	839
2	225	837
3	269	833
4	312	833
5	369	833
6	439	833
7	503	833
8	541	833
9	549	833

Iter	Nodes	Cost
0	115	839
1	181	839
2	225	837
3	269	833
4	312	833
5	369	833
6	439	833
7	503	833
8	541	833
9	549	833