Details

analyze721.0ms (10.4%)

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
12.5%	87.4%	0.1%	4
12.5%	62.4%	25.1%	5
12.5%	62.4%	25.1%	6
12.5%	62.4%	25.1%	7
17.2%	45.2%	37.6%	8
18.3%	42.9%	38.8%	9
19.5%	38.6%	41.9%	10
23.9%	27.6%	48.5%	11
25.6%	25%	49.4%	12
27.2%	21.7%	51.1%	13
30.1%	15.2%	54.7%	14

Compiler

Compiled 28 to 21 computations (25% saved)

sample2.2s (31.5%)

Results

1.7s	8256×	body	128	valid
449.0ms	2699×	body	128	invalid

Compiler

Compiled 56 to 42 computations (25% saved)

preprocess39.0ms (0.6%)

Algorithm

2×	egg-herbie

Rules

864×	`fma-def_binary64`
536×	`fma-neg_binary64`
395×	`+-commutative_binary64`
348×	`associate--l+_binary64`
243×	`associate-+l+_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	128
1	118	128
2	307	124
3	1011	120
4	2378	120
5	4733	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 (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 (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 (-.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 y -1/2) (log.f64 y)) y) (+.f64 91893853320467/100000000000000 (/.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 (-.f64 (fma.f64 (+.f64 y -1/2) (log.f64 y) 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 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) (/.f64 (fma.f64 y (fma.f64 y (+.f64 7936500793651/10000000000000000 z) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))

Compiler

Compiled 27 to 20 computations (25.9% saved)

simplify33.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

692×	`fma-def_binary64`
568×	`fma-neg_binary64`
319×	`sub-neg_binary64`
295×	`cancel-sign-sub-inv_binary64`
235×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	21	32
1	43	32
2	100	31
3	294	30
4	666	30
5	1496	30
6	2874	30
7	4967	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 (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 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))

prune6.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

4.3b

Counts

3 → 2

Alt Table

Status	Error	Program
	4.3b	(+.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))
▶	4.3b	(+.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))

Status

Error

Program

4.3b

(+.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))

▶

4.3b

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

Compiler

Compiled 150 to 107 computations (28.7% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)
✓	0.1b	(fma.f64 (log.f64 x) (-.f64 1/2 x) x)
✓	0.1b	(-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x))
✓	4.0b	(/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)

series25.0ms (0.4%)

Counts

4 → 84

Calls

21 calls:

Time	Variable		Point	Expression
6.0ms	x	@	0	(-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x))
3.0ms	x	@	-inf	(-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x))
2.0ms	x	@	inf	(-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x))
1.0ms	y	@	-inf	(/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)
1.0ms	x	@	0	(/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)

rewrite84.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

272×	`prod-diff_binary64`
193×	`add-sqr-sqrt_binary64`
183×	`add-exp-log_binary64`
183×	`add-log-exp_binary64`
182×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	50
1	380	50
2	4816	50

Stop Event

1×	node limit

Counts

4 → 109

Calls

Call 1

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

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)) (cbrt.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 .f64 (cbrt.f64 (pow.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 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) (.f64 (sqrt.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 (sqrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) (sqrt.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 (neg.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 x) (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 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7936500793651/10000000000000000) z -13888888888889/5000000000000000))) 6944444444444388888888888889/1000000000000000000000000000000) (-.f64 (.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)) 83333333333333/1000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)))))))

simplify56.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

448×	`fma-neg_binary64`
372×	`cancel-sign-sub-inv_binary64`
353×	`sub-neg_binary64`
259×	`fma-def_binary64`
237×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	83	1866
1	260	1816
2	778	1619
3	2501	1180

Stop Event

1×	node limit

Counts

193 → 154

Calls

Call 1

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

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

prune245.0ms (3.5%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	143	11	154
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	145	11	156

Error

0.1b

Counts

156 → 11

Alt Table

Status	Error	Program
	4.3b	(+.f64 (-.f64 (+.f64 91893853320467/100000000000000 (.f64 (log.f64 x) x)) (+.f64 (.f64 1/2 (log.f64 x)) x)) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
	7.8b	(+.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) (*.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)))
▶	4.3b	(+.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) (/.f64 (-.f64 (+.f64 83333333333333/1000000000000000 (+.f64 (.f64 7936500793651/10000000000000000 (pow.f64 z 2)) (.f64 y (pow.f64 z 2)))) (*.f64 13888888888889/5000000000000000 z)) x))
	17.3b	(+.f64 (/.f64 1 (/.f64 (+.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) (-.f64 8444480278083503881401098089/10000000000000000000000000000 (pow.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x) 2)))) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
	23.5b	(+.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) (.f64 z (.f64 z (/.f64 (+.f64 7936500793651/10000000000000000 y) x))))
	8.0b	(+.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) (/.f64 (pow.f64 (sqrt.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) 2) x))
	8.0b	(+.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) (pow.f64 (sqrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) 2))
	4.3b	(+.f64 (-.f64 91893853320467/100000000000000 (+.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x)))) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
	4.4b	(+.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 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))))
	4.7b	(+.f64 (pow.f64 (cbrt.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x))) 3) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
	17.3b	(+.f64 (*.f64 (-.f64 8444480278083503881401098089/10000000000000000000000000000 (pow.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x) 2)) (/.f64 1 (+.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)))) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))

Compiler

Compiled 4772 to 3181 computations (33.3% saved)

localize19.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 7936500793651/10000000000000000 (pow.f64 z 2))
✓	0.7b	(+.f64 (.f64 7936500793651/10000000000000000 (pow.f64 z 2)) (.f64 y (pow.f64 z 2)))
✓	4.0b	(/.f64 (-.f64 (+.f64 83333333333333/1000000000000000 (+.f64 (.f64 7936500793651/10000000000000000 (pow.f64 z 2)) (.f64 y (pow.f64 z 2)))) (*.f64 13888888888889/5000000000000000 z)) x)
✓	7.4b	(*.f64 y (pow.f64 z 2))

series12.0ms (0.2%)

Counts

4 → 43

Calls

24 calls:

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

rewrite44.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

191×	`add-sqr-sqrt_binary64`
182×	`pow1_binary64`
181×	`*-un-lft-identity_binary64`
181×	`add-log-exp_binary64`
181×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	46
1	376	44

Stop Event

1×	node limit

Counts

4 → 102

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 y (.f64 z z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 y (.f64 z z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 y (.f64 z z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 z (sqrt.f64 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 y (.f64 z z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (pow.f64 z 4) (.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 z) z) y))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 y (.f64 z z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 y (.f64 z z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 y (.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 y (.f64 z z))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 y (.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 y (.f64 z z))))))))
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (.f64 z z) (+.f64 7936500793651/10000000000000000 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 62988044847622952881909801/100000000000000000000000000000000 (pow.f64 z 4)) (.f64 (.f64 z z) (-.f64 7936500793651/10000000000000000 y))) (/.f64 (.f64 (pow.f64 z 4) (.f64 y y)) (.f64 (.f64 z z) (-.f64 7936500793651/10000000000000000 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 z (.f64 z (+.f64 7936500793651/10000000000000000 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 z z) (+.f64 7936500793651/10000000000000000 y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 z z) (+.f64 y 7936500793651/10000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 (.f64 z z) (+.f64 7936500793651/10000000000000000 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 z 4)) (.f64 (pow.f64 (cbrt.f64 z) 2) (+.f64 7936500793651/10000000000000000 y)))))) 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7936500793651/10000000000000000)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (.f64 62988044847622952881909801/100000000000000000000000000000000 (pow.f64 z 4)) (.f64 (pow.f64 z 4) (.f64 y y)))) (neg.f64 (.f64 (.f64 z z) (-.f64 7936500793651/10000000000000000 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 y (.f64 z z)) 3) (.f64 499904667923684346908081313317095473451/1000000000000000000000000000000000000000000000000 (pow.f64 (.f64 z z) 3))) (+.f64 (.f64 (pow.f64 z 4) (.f64 y y)) (-.f64 (.f64 62988044847622952881909801/100000000000000000000000000000000 (pow.f64 z 4)) (.f64 (.f64 y (.f64 z z)) (.f64 z (.f64 z 7936500793651/10000000000000000))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (pow.f64 z 4) (.f64 y y)) (.f64 62988044847622952881909801/100000000000000000000000000000000 (pow.f64 z 4))) (-.f64 (.f64 y (.f64 z z)) (.f64 z (.f64 z 7936500793651/10000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (.f64 z z) (+.f64 7936500793651/10000000000000000 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (.f64 z z) (+.f64 7936500793651/10000000000000000 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 z (sqrt.f64 (+.f64 7936500793651/10000000000000000 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (.f64 z z) (+.f64 7936500793651/10000000000000000 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 (.f64 z z) (+.f64 7936500793651/10000000000000000 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 z) z) (+.f64 7936500793651/10000000000000000 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 z z) (+.f64 7936500793651/10000000000000000 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (.f64 z z) (+.f64 7936500793651/10000000000000000 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (.f64 z z) (+.f64 7936500793651/10000000000000000 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (.f64 z z) (+.f64 7936500793651/10000000000000000 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (.f64 z z) (+.f64 7936500793651/10000000000000000 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y (.f64 z z) (.f64 z (.f64 z 7936500793651/10000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 z z) y (.f64 z (.f64 z 7936500793651/10000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 z z) 7936500793651/10000000000000000 (.f64 y (.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 7936500793651/10000000000000000 (.f64 z z) (.f64 y (.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 y (.f64 z z)) (.f64 z (.f64 z 7936500793651/10000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 z (.f64 z 7936500793651/10000000000000000)) (.f64 y (.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 62988044847622952881909801/100000000000000000000000000000000 (pow.f64 z 4))) (cbrt.f64 (.f64 z (.f64 z 7936500793651/10000000000000000))) (.f64 y (.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (.f64 y (.f64 z z))) 2) (cbrt.f64 (.f64 y (.f64 z z))) (.f64 z (.f64 z 7936500793651/10000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 z (sqrt.f64 7936500793651/10000000000000000)) (.f64 z (sqrt.f64 7936500793651/10000000000000000)) (.f64 y (.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 z (sqrt.f64 y)) (.f64 z (sqrt.f64 y)) (.f64 z (.f64 z 7936500793651/10000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (*.f64 z z) (+.f64 7936500793651/10000000000000000 y))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 z (.f64 z 7936500793651/10000000000000000)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 z (.f64 z 7936500793651/10000000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 z (.f64 z 7936500793651/10000000000000000))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 z (sqrt.f64 7936500793651/10000000000000000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 499904667923684346908081313317095473451/1000000000000000000000000000000000000000000000000 (pow.f64 (.f64 z z) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 62988044847622952881909801/100000000000000000000000000000000 (pow.f64 z 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 7936500793651/10000000000000000) (.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 z (.f64 z 7936500793651/10000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 499904667923684346908081313317095473451/1000000000000000000000000000000000000000000000000 (pow.f64 (.f64 z z) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 z (.f64 z 7936500793651/10000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 z (.f64 z 7936500793651/10000000000000000))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 z (.f64 z 7936500793651/10000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 z (.f64 z 7936500793651/10000000000000000))))))))

simplify42.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

913×	`fma-neg_binary64`
366×	`fma-def_binary64`
263×	`distribute-rgt-neg-in_binary64`
214×	`distribute-lft-neg-in_binary64`
189×	`sub-neg_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	39	946
1	107	944
2	270	860
3	803	591
4	2765	585

Stop Event

1×	node limit

Counts

145 → 121

Calls

Call 1

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

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

prune207.0ms (3%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	120	1	121
Fresh	0	10	10
Picked	1	0	1
Done	0	0	0
Total	121	11	132

Error

0.1b

Counts

132 → 11

Alt Table

Status	Error	Program
	4.3b	(+.f64 (-.f64 (+.f64 91893853320467/100000000000000 (.f64 (log.f64 x) x)) (+.f64 (.f64 1/2 (log.f64 x)) x)) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
	7.8b	(+.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) (*.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)))
	23.5b	(+.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) (.f64 z (.f64 z (/.f64 (+.f64 7936500793651/10000000000000000 y) x))))
	8.0b	(+.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) (/.f64 (pow.f64 (sqrt.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) 2) x))
	8.0b	(+.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) (pow.f64 (sqrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) 2))
	4.3b	(+.f64 (-.f64 91893853320467/100000000000000 (+.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x)))) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
	4.4b	(+.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 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))))
	4.7b	(+.f64 (pow.f64 (cbrt.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x))) 3) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
	17.3b	(+.f64 (/.f64 1 (/.f64 (+.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) (-.f64 8444480278083503881401098089/10000000000000000000000000000 (pow.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x) 2)))) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
	17.3b	(+.f64 (*.f64 (-.f64 8444480278083503881401098089/10000000000000000000000000000 (pow.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x) 2)) (/.f64 1 (+.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)))) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
▶	4.3b	(+.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) (-.f64 (/.f64 (fma.f64 (*.f64 z z) (+.f64 7936500793651/10000000000000000 y) 83333333333333/1000000000000000) x) (/.f64 z (/.f64 x 13888888888889/5000000000000000))))

Compiler

Compiled 4446 to 2830 computations (36.3% saved)

localize18.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(fma.f64 (log.f64 x) (-.f64 1/2 x) x)
	0.1b	(-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x))
✓	0.2b	(/.f64 z (/.f64 x 13888888888889/5000000000000000))
✓	4.1b	(/.f64 (fma.f64 (*.f64 z z) (+.f64 7936500793651/10000000000000000 y) 83333333333333/1000000000000000) x)

series18.0ms (0.3%)

Counts

2 → 60

Calls

15 calls:

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

rewrite207.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

256×	`expm1-udef_binary64`
256×	`log1p-udef_binary64`
148×	`add-sqr-sqrt_binary64`
139×	`add-exp-log_binary64`
139×	`add-log-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	21
1	293	21
2	3863	21

Stop Event

1×	node limit

Counts

2 → 73

Calls

Call 1

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

Outputs

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

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

simplify51.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

996×	`fma-def_binary64`
543×	`associate-/r/_binary64`
383×	`distribute-rgt-out_binary64`
321×	`associate-l_binary64`
283×	`associate-/l/_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	30	891
1	61	865
2	121	829
3	264	739
4	666	703
5	2261	703
6	4581	703

Stop Event

1×	node limit

Counts

133 → 84

Calls

Call 1

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

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

prune238.0ms (3.4%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	154	0	154
Fresh	0	10	10
Picked	0	1	1
Done	0	0	0
Total	154	11	165

Error

0.1b

Counts

165 → 11

Alt Table

Status	Error	Program
	4.3b	(+.f64 (-.f64 (+.f64 91893853320467/100000000000000 (.f64 (log.f64 x) x)) (+.f64 (.f64 1/2 (log.f64 x)) x)) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
	7.8b	(+.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) (*.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)))
	23.5b	(+.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) (.f64 z (.f64 z (/.f64 (+.f64 7936500793651/10000000000000000 y) x))))
	8.0b	(+.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) (/.f64 (pow.f64 (sqrt.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) 2) x))
	8.0b	(+.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) (pow.f64 (sqrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) 2))
▶	4.3b	(+.f64 (-.f64 91893853320467/100000000000000 (+.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x)))) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
	4.4b	(+.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 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))))
	4.7b	(+.f64 (pow.f64 (cbrt.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x))) 3) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
	17.3b	(+.f64 (/.f64 1 (/.f64 (+.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) (-.f64 8444480278083503881401098089/10000000000000000000000000000 (pow.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x) 2)))) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
	17.3b	(+.f64 (*.f64 (-.f64 8444480278083503881401098089/10000000000000000000000000000 (pow.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x) 2)) (/.f64 1 (+.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)))) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
✓	4.3b	(+.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) (-.f64 (/.f64 (fma.f64 (*.f64 z z) (+.f64 7936500793651/10000000000000000 y) 83333333333333/1000000000000000) x) (/.f64 z (/.f64 x 13888888888889/5000000000000000))))

Compiler

Compiled 5521 to 3456 computations (37.4% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (log.f64 x) (-.f64 1/2 x))
✓	0.1b	(-.f64 91893853320467/100000000000000 (+.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x))))
✓	0.2b	(+.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x)))
	4.0b	(/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)

series4.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite73.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

955×	`prod-diff_binary64`
196×	`log1p-udef_binary64`
111×	`add-sqr-sqrt_binary64`
106×	`*-un-lft-identity_binary64`
106×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	36
1	212	32
2	2985	32

Stop Event

1×	node limit

Counts

3 → 139

Calls

Call 1

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

Outputs

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

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

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

simplify30.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

784×	`fma-def_binary64`
384×	`associate--r+_binary64`
366×	`associate--l+_binary64`
352×	`fma-neg_binary64`
265×	`sub-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	52	500
1	171	410
2	555	395
3	1775	359

Stop Event

1×	node limit

Counts

175 → 162

Calls

Call 1

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

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

prune347.0ms (5%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	205	5	210
Fresh	3	6	9
Picked	1	0	1
Done	0	1	1
Total	209	12	221

Error

0.0b

Counts

221 → 12

Alt Table

Status	Error	Program
	34.1b	(+.f64 (+.f64 (fma.f64 1 (-.f64 91893853320467/100000000000000 x) (neg.f64 (.f64 (.f64 (sqrt.f64 (log.f64 x)) (-.f64 1/2 x)) (sqrt.f64 (log.f64 x))))) (fma.f64 (neg.f64 (.f64 (sqrt.f64 (log.f64 x)) (-.f64 1/2 x))) (sqrt.f64 (log.f64 x)) (.f64 (*.f64 (sqrt.f64 (log.f64 x)) (-.f64 1/2 x)) (sqrt.f64 (log.f64 x))))) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
	8.0b	(+.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) (pow.f64 (sqrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) 2))
	4.3b	(+.f64 (+.f64 (-.f64 91893853320467/100000000000000 x) (neg.f64 (*.f64 (log.f64 x) (-.f64 1/2 x)))) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
	4.4b	(+.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 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))))
	23.5b	(+.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) (.f64 z (.f64 z (/.f64 (+.f64 7936500793651/10000000000000000 y) x))))
	8.0b	(+.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) (/.f64 (pow.f64 (sqrt.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) 2) x))
	4.7b	(+.f64 (+.f64 (-.f64 91893853320467/100000000000000 x) (.f64 (neg.f64 (pow.f64 (cbrt.f64 (.f64 (log.f64 x) (-.f64 1/2 x))) 2)) (cbrt.f64 (*.f64 (log.f64 x) (-.f64 1/2 x))))) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
	7.8b	(+.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) (*.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)))
	17.3b	(+.f64 (/.f64 1 (/.f64 (+.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) (-.f64 8444480278083503881401098089/10000000000000000000000000000 (pow.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x) 2)))) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
	17.1b	(+.f64 (-.f64 91893853320467/100000000000000 (+.f64 x (/.f64 (.f64 (-.f64 1/4 (.f64 x x)) (log.f64 x)) (+.f64 x 1/2)))) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
✓	4.3b	(+.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) (-.f64 (/.f64 (fma.f64 (*.f64 z z) (+.f64 7936500793651/10000000000000000 y) 83333333333333/1000000000000000) x) (/.f64 z (/.f64 x 13888888888889/5000000000000000))))
	4.7b	(+.f64 (+.f64 (fma.f64 1 (-.f64 91893853320467/100000000000000 x) (neg.f64 (.f64 (cbrt.f64 (log.f64 x)) (.f64 (-.f64 1/2 x) (pow.f64 (cbrt.f64 (log.f64 x)) 2))))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (.f64 (-.f64 1/2 x) (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (.f64 (cbrt.f64 (log.f64 x)) (*.f64 (-.f64 1/2 x) (pow.f64 (cbrt.f64 (log.f64 x)) 2))))) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))

Compiler

Compiled 7570 to 4963 computations (34.4% saved)

regimes1.7s (24.9%)

Accuracy

Total 0.7b remaining (90.4%)

Threshold costs 0.7b (90.4%)

Counts

146 → 2

Compiler

Compiled 3931 to 2498 computations (36.5% saved)

bsearch33.0ms (0.5%)

Algorithm

1×	binary-search

Calls

1 calls:

31.0ms

Steps

Iters	Point		Range
1.2e+84	∈ [	1.172788019266476e+84	,	7.437485962699703e+85	]

Compiler

Compiled 4 to 3 computations (25% saved)

simplify52.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

10×	`+-commutative_binary64`
6×	`*-commutative_binary64`
6×	`sub-neg_binary64`
3×	`neg-sub0_binary64`
3×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	85
1	50	85
2	60	85
3	66	85
4	69	85

Stop Event

1×

saturated

Calls

Call 1

Inputs

(if (<=.f64 x 1199999999999999983048102542857028699990272274052458808878788083751822861288756740096) (+.f64 (*.f64 (-.f64 8444480278083503881401098089/10000000000000000000000000000 (pow.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x) 2)) (/.f64 1 (+.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x) 91893853320467/100000000000000))) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) (+.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) (*.f64 z (*.f64 z (/.f64 (+.f64 7936500793651/10000000000000000 y) x)))))

Outputs

(if (<=.f64 x 1199999999999999983048102542857028699990272274052458808878788083751822861288756740096) (+.f64 (*.f64 (-.f64 8444480278083503881401098089/10000000000000000000000000000 (pow.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x) 2)) (/.f64 1 (+.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x) 91893853320467/100000000000000))) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) (+.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) (*.f64 z (*.f64 z (/.f64 (+.f64 7936500793651/10000000000000000 y) x)))))

(if (<=.f64 x 1199999999999999983048102542857028699990272274052458808878788083751822861288756740096) (+.f64 (*.f64 (-.f64 8444480278083503881401098089/10000000000000000000000000000 (pow.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x) 2)) (/.f64 1 (+.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x) 91893853320467/100000000000000))) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) (+.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) (*.f64 z (*.f64 z (/.f64 (+.f64 y 7936500793651/10000000000000000) x)))))

end409.0ms (5.9%)

Stop Event

1×

fuel

Compiler

Compiled 545 to 371 computations (31.9% saved)

Details

analyze721.0ms (10.4%)

sample2.2s (31.5%)

preprocess39.0ms (0.6%)

simplify33.0ms (0.5%)

prune6.0ms (0.1%)

localize14.0ms (0.2%)

series25.0ms (0.4%)

rewrite84.0ms (1.2%)

simplify56.0ms (0.8%)

prune245.0ms (3.5%)

localize19.0ms (0.3%)

series12.0ms (0.2%)

rewrite44.0ms (0.6%)

simplify42.0ms (0.6%)

prune207.0ms (3%)

localize18.0ms (0.3%)

series18.0ms (0.3%)

rewrite207.0ms (3%)

simplify51.0ms (0.7%)

prune238.0ms (3.4%)

localize14.0ms (0.2%)

series4.0ms (0.1%)

rewrite73.0ms (1.1%)

simplify30.0ms (0.4%)

prune347.0ms (5%)

regimes1.7s (24.9%)

bsearch33.0ms (0.5%)

simplify52.0ms (0.7%)

end409.0ms (5.9%)

Profiling