Metrics for Statistics.Distribution.Poisson.Internal:probability from math-functions-0.1.5.2

analyze1.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
100%	49.9%	0%	0.1%	0%	49.9%	0%	3

Compiler

Compiled 13 to 9 computations (30.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

Operation ival-sub, time spent: 0.0ms, 0.0% of total-time

Operation ival-log, time spent: 0.0ms, 0.0% of total-time

Operation ival-add, time spent: 0.0ms, 0.0% of total-time

Operation ival-exp, time spent: 0.0ms, 0.0% of total-time

Operation ival-mult, time spent: 0.0ms, 0.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

sample1.2s (27.9%)

Results

636.0ms	4798×	256	infinite
516.0ms	3457×	256	valid
0.0ms	1×	256	valid

Precisions

Click to see histograms. Total time spent on operations: 443.0ms

Operation ival-log, time spent: 179.0ms, 40.0% of total-time

Operation ival-mult, time spent: 80.0ms, 18.0% of total-time

Operation ival-exp, time spent: 64.0ms, 14.0% of total-time

Operation ival-add, time spent: 62.0ms, 14.0% of total-time

Operation ival-sub, time spent: 49.0ms, 11.0% of total-time

Operation const, time spent: 9.0ms, 2.0% of total-time

Bogosity

preprocess484.0ms (11%)

Algorithm

1×	egg-herbie

Rules

3152×	`fma-define`
1772×	`fma-neg`
872×	`exp-sum`
730×	`div-sub`
656×	`sub-neg`

FPErrors

Click to see full error table

Overpredictions	Example	Example	Subexpression
1	(259.2115264233873 1.0213561892697127e-275 1.9498527143335545e-43)	-	`(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))`
0	-	-	`(*.f64 y (log.f64 y))`
0	-	-	`(log.f64 y)`
0	-	-	`y`
0	-	-	`(+.f64 x (*.f64 y (log.f64 y)))`
0	-	-	`(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)`
0	-	-	`z`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`exp.f64`	`(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))`	sensitivity	1	0

Confusion

	Predicted +	Predicted -
+	0	0
-	1	255

Precision

0.0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	1	0	255

Precision?

0.0

Recall?

0/0

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	44	473
1	108	421
2	295	421
3	871	405
4	1971	405
5	3435	405
6	5159	405
7	6112	405
8	6635	405
9	6973	405
10	7095	405
11	7136	405
12	7759	405
13	7916	405

Stop Event

1×	node limit

Calls

Call 1

Inputs
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
(exp.f64 (-.f64 (+.f64 (neg.f64 x) (*.f64 y (log.f64 y))) z))
(exp.f64 (-.f64 (+.f64 x (*.f64 (neg.f64 y) (log.f64 (neg.f64 y)))) z))
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) (neg.f64 z)))
(neg.f64 (exp.f64 (-.f64 (+.f64 (neg.f64 x) (*.f64 y (log.f64 y))) z)))
(neg.f64 (exp.f64 (-.f64 (+.f64 x (*.f64 (neg.f64 y) (log.f64 (neg.f64 y)))) z)))
(neg.f64 (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) (neg.f64 z))))
(exp.f64 (-.f64 (+.f64 y (*.f64 x (log.f64 x))) z))
(exp.f64 (-.f64 (+.f64 z (*.f64 y (log.f64 y))) x))
(exp.f64 (-.f64 (+.f64 x (*.f64 z (log.f64 z))) y))

Outputs
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
(exp.f64 (+.f64 x (-.f64 (*.f64 y (log.f64 y)) z)))
(exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z))
(exp.f64 (fma.f64 y (log.f64 y) (-.f64 x z)))
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
(exp.f64 (+.f64 x (-.f64 (*.f64 y (log.f64 y)) z)))
(exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z))
(exp.f64 (fma.f64 y (log.f64 y) (-.f64 x z)))
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))
(exp.f64 (-.f64 (+.f64 (neg.f64 x) (*.f64 y (log.f64 y))) z))
(exp.f64 (+.f64 (neg.f64 x) (-.f64 (*.f64 y (log.f64 y)) z)))
(exp.f64 (-.f64 (-.f64 (*.f64 y (log.f64 y)) x) z))
(/.f64 (/.f64 (pow.f64 y y) (exp.f64 x)) (exp.f64 z))
(/.f64 (pow.f64 y y) (exp.f64 (+.f64 x z)))
(exp.f64 (-.f64 (+.f64 x (*.f64 (neg.f64 y) (log.f64 (neg.f64 y)))) z))
(exp.f64 (-.f64 (fma.f64 (neg.f64 y) (log.f64 (neg.f64 y)) x) z))
(*.f64 (pow.f64 (neg.f64 y) (neg.f64 y)) (exp.f64 (-.f64 x z)))
(/.f64 (exp.f64 (-.f64 x z)) (pow.f64 (neg.f64 y) y))
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) (neg.f64 z)))
(exp.f64 (+.f64 x (-.f64 (*.f64 y (log.f64 y)) (neg.f64 z))))
(exp.f64 (+.f64 x (fma.f64 y (log.f64 y) z)))
(*.f64 (pow.f64 y y) (exp.f64 (+.f64 x z)))
(neg.f64 (exp.f64 (-.f64 (+.f64 (neg.f64 x) (*.f64 y (log.f64 y))) z)))
(neg.f64 (exp.f64 (+.f64 (neg.f64 x) (-.f64 (*.f64 y (log.f64 y)) z))))
(neg.f64 (exp.f64 (-.f64 (-.f64 (*.f64 y (log.f64 y)) x) z)))
(/.f64 (/.f64 (pow.f64 y y) (exp.f64 x)) (neg.f64 (exp.f64 z)))
(neg.f64 (/.f64 (pow.f64 y y) (exp.f64 (+.f64 x z))))
(/.f64 (neg.f64 (pow.f64 y y)) (exp.f64 (+.f64 x z)))
(neg.f64 (exp.f64 (-.f64 (+.f64 x (*.f64 (neg.f64 y) (log.f64 (neg.f64 y)))) z)))
(neg.f64 (exp.f64 (-.f64 (fma.f64 (neg.f64 y) (log.f64 (neg.f64 y)) x) z)))
(neg.f64 (*.f64 (pow.f64 (neg.f64 y) (neg.f64 y)) (exp.f64 (-.f64 x z))))
(neg.f64 (/.f64 (exp.f64 (-.f64 x z)) (pow.f64 (neg.f64 y) y)))
(/.f64 (exp.f64 (-.f64 x z)) (neg.f64 (pow.f64 (neg.f64 y) y)))
(neg.f64 (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) (neg.f64 z))))
(neg.f64 (exp.f64 (+.f64 x (-.f64 (*.f64 y (log.f64 y)) (neg.f64 z)))))
(neg.f64 (exp.f64 (+.f64 x (fma.f64 y (log.f64 y) z))))
(neg.f64 (*.f64 (pow.f64 y y) (exp.f64 (+.f64 x z))))
(*.f64 (pow.f64 y y) (neg.f64 (exp.f64 (+.f64 x z))))
(*.f64 (neg.f64 (pow.f64 y y)) (exp.f64 (+.f64 x z)))
(exp.f64 (-.f64 (+.f64 y (*.f64 x (log.f64 x))) z))
(exp.f64 (+.f64 y (-.f64 (*.f64 x (log.f64 x)) z)))
(exp.f64 (-.f64 (fma.f64 x (log.f64 x) y) z))
(/.f64 (pow.f64 x x) (exp.f64 (-.f64 z y)))
(*.f64 (pow.f64 x x) (exp.f64 (-.f64 y z)))
(exp.f64 (-.f64 (+.f64 z (*.f64 y (log.f64 y))) x))
(exp.f64 (+.f64 z (-.f64 (*.f64 y (log.f64 y)) x)))
(exp.f64 (-.f64 (fma.f64 y (log.f64 y) z) x))
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))
(exp.f64 (fma.f64 y (log.f64 y) (-.f64 z x)))
(exp.f64 (-.f64 (+.f64 x (*.f64 z (log.f64 z))) y))
(exp.f64 (+.f64 x (-.f64 (*.f64 z (log.f64 z)) y)))
(exp.f64 (-.f64 (fma.f64 z (log.f64 z) x) y))
(*.f64 (pow.f64 z z) (exp.f64 (-.f64 x y)))
(/.f64 (pow.f64 z z) (exp.f64 (-.f64 y x)))

Compiler

Compiled 96 to 34 computations (64.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

Operation ival-log, time spent: 10.0ms, 38.0% of total-time

Operation ival-mult, time spent: 5.0ms, 19.0% of total-time

Operation ival-add, time spent: 4.0ms, 15.0% of total-time

Operation ival-exp, time spent: 4.0ms, 15.0% of total-time

Operation ival-sub, time spent: 3.0ms, 11.0% of total-time

Operation const, time spent: 1.0ms, 4.0% of total-time

eval1.0ms (0%)

Compiler: Compiled 44 to 20 computations (54.5% saved)

prune2.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	81.6%	(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))
▶	100.0%	(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))

Compiler

Compiled 23 to 15 computations (34.8% saved)

localize94.0ms (2.1%)

Localize:

Found 3 expressions with local error:

New	Accuracy	Program
✓	98.8%	(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))
✓	100.0%	(+.f64 x (*.f64 y (log.f64 y)))
✓	99.7%	(*.f64 y (log.f64 y))

Compiler

Compiled 57 to 13 computations (77.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

Operation ival-pow, time spent: 9.0ms, 28.0% of total-time

Operation ival-log, time spent: 8.0ms, 25.0% of total-time

Operation ival-mult, time spent: 6.0ms, 19.0% of total-time

Operation ival-exp, time spent: 4.0ms, 13.0% of total-time

Operation ival-sub, time spent: 3.0ms, 9.0% of total-time

Operation ival-add, time spent: 2.0ms, 6.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

series103.0ms (2.3%)

Counts

3 → 62

Calls

Call 1

Inputs
#<alt (*.f64 y (log.f64 y))>
#<alt (+.f64 x (*.f64 y (log.f64 y)))>
#<alt (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))>

Outputs
#<alt (.f64 -1 (.f64 y (log.f64 (/.f64 1 y))))>
#<alt (.f64 -1 (.f64 y (log.f64 (/.f64 1 y))))>
#<alt (.f64 -1 (.f64 y (log.f64 (/.f64 1 y))))>
#<alt (.f64 -1 (.f64 y (log.f64 (/.f64 1 y))))>
#<alt (.f64 y (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 y)))))>
#<alt (.f64 y (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 y)))))>
#<alt (.f64 y (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 y)))))>
#<alt (.f64 y (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 y)))))>
#<alt (*.f64 y (log.f64 y))>
#<alt x>
#<alt (.f64 x (+.f64 1 (/.f64 (.f64 y (log.f64 y)) x)))>
#<alt (.f64 x (+.f64 1 (/.f64 (.f64 y (log.f64 y)) x)))>
#<alt (.f64 x (+.f64 1 (/.f64 (.f64 y (log.f64 y)) x)))>
#<alt x>
#<alt (.f64 -1 (.f64 x (-.f64 (.f64 -1 (/.f64 (.f64 y (log.f64 y)) x)) 1)))>
#<alt (.f64 -1 (.f64 x (-.f64 (.f64 -1 (/.f64 (.f64 y (log.f64 y)) x)) 1)))>
#<alt (.f64 -1 (.f64 x (-.f64 (.f64 -1 (/.f64 (.f64 y (log.f64 y)) x)) 1)))>
#<alt x>
#<alt (.f64 -1 (.f64 y (log.f64 (/.f64 1 y))))>
#<alt (.f64 y (+.f64 (.f64 -1 (log.f64 (/.f64 1 y))) (/.f64 x y)))>
#<alt (.f64 y (+.f64 (.f64 -1 (log.f64 (/.f64 1 y))) (/.f64 x y)))>
#<alt (.f64 y (+.f64 (.f64 -1 (log.f64 (/.f64 1 y))) (/.f64 x y)))>
#<alt (.f64 y (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 y)))))>
#<alt (.f64 -1 (.f64 y (+.f64 (.f64 -1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 y))))) (*.f64 -1 (/.f64 x y)))))>
#<alt (.f64 -1 (.f64 y (+.f64 (.f64 -1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 y))))) (*.f64 -1 (/.f64 x y)))))>
#<alt (.f64 -1 (.f64 y (+.f64 (.f64 -1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 y))))) (*.f64 -1 (/.f64 x y)))))>
#<alt (exp.f64 (-.f64 x z))>
#<alt (+.f64 (exp.f64 (-.f64 x z)) (.f64 y (.f64 (exp.f64 (-.f64 x z)) (log.f64 y))))>
#<alt (+.f64 (exp.f64 (-.f64 x z)) (.f64 y (+.f64 (.f64 1/2 (.f64 y (.f64 (exp.f64 (-.f64 x z)) (pow.f64 (log.f64 y) 2)))) (*.f64 (exp.f64 (-.f64 x z)) (log.f64 y)))))>
#<alt (+.f64 (exp.f64 (-.f64 x z)) (.f64 y (+.f64 (.f64 y (+.f64 (.f64 1/6 (.f64 y (.f64 (exp.f64 (-.f64 x z)) (pow.f64 (log.f64 y) 3)))) (.f64 1/2 (.f64 (exp.f64 (-.f64 x z)) (pow.f64 (log.f64 y) 2))))) (.f64 (exp.f64 (-.f64 x z)) (log.f64 y)))))>
#<alt (*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))>
#<alt (*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))>
#<alt (*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))>
#<alt (*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))>
#<alt (*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))>
#<alt (*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))>
#<alt (*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))>
#<alt (*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))>
#<alt (*.f64 (exp.f64 (neg.f64 z)) (pow.f64 y y))>
#<alt (+.f64 (.f64 x (.f64 (exp.f64 (neg.f64 z)) (pow.f64 y y))) (*.f64 (exp.f64 (neg.f64 z)) (pow.f64 y y)))>
#<alt (+.f64 (.f64 x (+.f64 (.f64 1/2 (.f64 x (.f64 (exp.f64 (neg.f64 z)) (pow.f64 y y)))) (.f64 (exp.f64 (neg.f64 z)) (pow.f64 y y)))) (.f64 (exp.f64 (neg.f64 z)) (pow.f64 y y)))>
#<alt (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 1/6 (.f64 x (.f64 (exp.f64 (neg.f64 z)) (pow.f64 y y)))) (.f64 1/2 (.f64 (exp.f64 (neg.f64 z)) (pow.f64 y y))))) (.f64 (exp.f64 (neg.f64 z)) (pow.f64 y y)))) (*.f64 (exp.f64 (neg.f64 z)) (pow.f64 y y)))>
#<alt (*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))>
#<alt (*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))>
#<alt (*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))>
#<alt (*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))>
#<alt (.f64 (exp.f64 (neg.f64 (+.f64 z (.f64 -1 x)))) (pow.f64 y y))>
#<alt (.f64 (exp.f64 (neg.f64 (+.f64 z (.f64 -1 x)))) (pow.f64 y y))>
#<alt (.f64 (exp.f64 (neg.f64 (+.f64 z (.f64 -1 x)))) (pow.f64 y y))>
#<alt (.f64 (exp.f64 (neg.f64 (+.f64 z (.f64 -1 x)))) (pow.f64 y y))>
#<alt (*.f64 (exp.f64 x) (pow.f64 y y))>
#<alt (+.f64 (.f64 -1 (.f64 z (.f64 (exp.f64 x) (pow.f64 y y)))) (.f64 (exp.f64 x) (pow.f64 y y)))>
#<alt (+.f64 (.f64 z (+.f64 (.f64 -1 (.f64 (exp.f64 x) (pow.f64 y y))) (.f64 1/2 (.f64 z (.f64 (exp.f64 x) (pow.f64 y y)))))) (*.f64 (exp.f64 x) (pow.f64 y y)))>
#<alt (+.f64 (.f64 z (+.f64 (.f64 -1 (.f64 (exp.f64 x) (pow.f64 y y))) (.f64 z (+.f64 (.f64 -1/6 (.f64 z (.f64 (exp.f64 x) (pow.f64 y y)))) (.f64 1/2 (.f64 (exp.f64 x) (pow.f64 y y))))))) (.f64 (exp.f64 x) (pow.f64 y y)))>
#<alt (*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))>
#<alt (*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))>
#<alt (*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))>
#<alt (*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))>
#<alt (.f64 (exp.f64 (+.f64 x (.f64 -1 z))) (pow.f64 y y))>
#<alt (.f64 (exp.f64 (+.f64 x (.f64 -1 z))) (pow.f64 y y))>
#<alt (.f64 (exp.f64 (+.f64 x (.f64 -1 z))) (pow.f64 y y))>
#<alt (.f64 (exp.f64 (+.f64 x (.f64 -1 z))) (pow.f64 y y))>

Calls

18 calls:

Time	Variable		Point	Expression
39.0ms	y	@	0	(* y (log y))
21.0ms	y	@	-inf	(* y (log y))
10.0ms	x	@	inf	(* (pow y y) (exp (- x z)))
10.0ms	x	@	0	(+ x (* y (log y)))
7.0ms	y	@	inf	(* y (log y))

rewrite296.0ms (6.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1112×	`log1p-expm1-u`
1112×	`expm1-log1p-u`
856×	`fma-define`
392×	`log1p-undefine`
382×	`fma-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	78
1	224	74
2	3009	74

Stop Event

1×	node limit

Counts

3 → 81

Calls

Call 1

Inputs
(*.f64 y (log.f64 y))
(+.f64 x (*.f64 y (log.f64 y)))
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))

Outputs
(+.f64 0 (*.f64 y (log.f64 y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 y y)) 2)) (log.f64 (cbrt.f64 (pow.f64 y y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 y y))) (log.f64 (sqrt.f64 (pow.f64 y y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (log.f64 y)))) 1)
(pow.f64 (*.f64 y (log.f64 y)) 1)
(pow.f64 (cbrt.f64 (*.f64 y (log.f64 y))) 3)
(pow.f64 (pow.f64 (*.f64 y (log.f64 y)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 y (log.f64 y))) 2)
(sqrt.f64 (pow.f64 (*.f64 y (log.f64 y)) 2))
(log.f64 (pow.f64 y y))
(log.f64 (+.f64 1 (-.f64 (pow.f64 y y) 1)))
(cbrt.f64 (pow.f64 (*.f64 y (log.f64 y)) 3))
(expm1.f64 (log1p.f64 (*.f64 y (log.f64 y))))
(log1p.f64 (-.f64 (pow.f64 y y) 1))
(exp.f64 (log.f64 (*.f64 y (log.f64 y))))
(exp.f64 (.f64 (log.f64 (.f64 y (log.f64 y))) 1))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y (log.f64 y) x))) 1)
(-.f64 (/.f64 (pow.f64 x 2) (-.f64 x (.f64 y (log.f64 y)))) (/.f64 (pow.f64 (.f64 y (log.f64 y)) 2) (-.f64 x (*.f64 y (log.f64 y)))))
(*.f64 (fma.f64 y (log.f64 y) x) 1)
(*.f64 1 (fma.f64 y (log.f64 y) x))
(*.f64 (cbrt.f64 (fma.f64 y (log.f64 y) x)) (pow.f64 (cbrt.f64 (fma.f64 y (log.f64 y) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y (log.f64 y) x)) 2) (cbrt.f64 (fma.f64 y (log.f64 y) x)))
(*.f64 (sqrt.f64 (fma.f64 y (log.f64 y) x)) (sqrt.f64 (fma.f64 y (log.f64 y) x)))
(.f64 (+.f64 (pow.f64 (.f64 y (log.f64 y)) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 (.f64 y (log.f64 y)) (-.f64 (.f64 y (log.f64 y)) x) (pow.f64 x 2))))
(.f64 (-.f64 (pow.f64 x 2) (pow.f64 (.f64 y (log.f64 y)) 2)) (/.f64 1 (-.f64 x (*.f64 y (log.f64 y)))))
(/.f64 1 (/.f64 (fma.f64 (.f64 y (log.f64 y)) (-.f64 (.f64 y (log.f64 y)) x) (pow.f64 x 2)) (+.f64 (pow.f64 (*.f64 y (log.f64 y)) 3) (pow.f64 x 3))))
(/.f64 1 (/.f64 (-.f64 x (.f64 y (log.f64 y))) (-.f64 (pow.f64 x 2) (pow.f64 (.f64 y (log.f64 y)) 2))))
(/.f64 (+.f64 (pow.f64 (.f64 y (log.f64 y)) 3) (pow.f64 x 3)) (fma.f64 (.f64 y (log.f64 y)) (-.f64 (*.f64 y (log.f64 y)) x) (pow.f64 x 2)))
(/.f64 (+.f64 (pow.f64 (.f64 y (log.f64 y)) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (.f64 y (log.f64 y)) 2) (-.f64 (pow.f64 x 2) (.f64 (.f64 x y) (log.f64 y)))))
(/.f64 (-.f64 (pow.f64 x 2) (pow.f64 (.f64 y (log.f64 y)) 2)) (-.f64 x (.f64 y (log.f64 y))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 y (log.f64 y)) 3) (pow.f64 x 3))) (neg.f64 (fma.f64 (.f64 y (log.f64 y)) (-.f64 (*.f64 y (log.f64 y)) x) (pow.f64 x 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 2) (pow.f64 (.f64 y (log.f64 y)) 2))) (neg.f64 (-.f64 x (.f64 y (log.f64 y)))))
(/.f64 (-.f64 (pow.f64 (.f64 y (log.f64 y)) 2) (pow.f64 x 2)) (-.f64 (.f64 y (log.f64 y)) x))
(pow.f64 (fma.f64 y (log.f64 y) x) 1)
(pow.f64 (cbrt.f64 (fma.f64 y (log.f64 y) x)) 3)
(pow.f64 (pow.f64 (fma.f64 y (log.f64 y) x) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 y (log.f64 y) x)) 2)
(sqrt.f64 (pow.f64 (fma.f64 y (log.f64 y) x) 2))
(log.f64 (*.f64 (pow.f64 y y) (exp.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 y (log.f64 y) x))))
(cbrt.f64 (pow.f64 (fma.f64 y (log.f64 y) x) 3))
(expm1.f64 (log1p.f64 (fma.f64 y (log.f64 y) x)))
(log1p.f64 (expm1.f64 (fma.f64 y (log.f64 y) x)))
(exp.f64 (log.f64 (fma.f64 y (log.f64 y) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 y (log.f64 y) x)) 1))
(fma.f64 y (log.f64 y) x)
(fma.f64 (log.f64 y) y x)
(fma.f64 (*.f64 y (log.f64 y)) 1 x)
(fma.f64 x 1 (*.f64 y (log.f64 y)))
(fma.f64 1 (*.f64 y (log.f64 y)) x)
(fma.f64 1 x (*.f64 y (log.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2) (*.f64 (cbrt.f64 (log.f64 y)) y) x)
(fma.f64 (cbrt.f64 (.f64 y (log.f64 y))) (pow.f64 (cbrt.f64 (.f64 y (log.f64 y))) 2) x)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 y (log.f64 y))) 2) (cbrt.f64 (.f64 y (log.f64 y))) x)
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (log.f64 y)) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 y (log.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 y (log.f64 y)))
(fma.f64 (sqrt.f64 (log.f64 y)) (*.f64 (sqrt.f64 (log.f64 y)) y) x)
(fma.f64 (sqrt.f64 (.f64 y (log.f64 y))) (sqrt.f64 (.f64 y (log.f64 y))) x)
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (log.f64 y)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y (log.f64 y)))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 (log.f64 y)) 2)) (cbrt.f64 (log.f64 y)) x)
(fma.f64 (*.f64 y (sqrt.f64 (log.f64 y))) (sqrt.f64 (log.f64 y)) x)
(fma.f64 (*.f64 (log.f64 y) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) x)
(fma.f64 (*.f64 (log.f64 y) (sqrt.f64 y)) (sqrt.f64 y) x)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))))) 1)
(/.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (exp.f64 z))
(pow.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))) 1)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))) 2)
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))) 2))
(log.f64 (pow.f64 (exp.f64 (pow.f64 y y)) (exp.f64 (-.f64 x z))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))) 3))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 y y) 3) (pow.f64 (exp.f64 (-.f64 x z)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 x z)) 3) (pow.f64 (pow.f64 y y) 3)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))))
(exp.f64 (fma.f64 y (log.f64 y) (-.f64 x z)))
(exp.f64 (*.f64 (fma.f64 y (log.f64 y) (-.f64 x z)) 1))

simplify198.0ms (4.5%)

Algorithm

1×	egg-herbie

Rules

1064×	`times-frac`
778×	`*-commutative`
690×	`div-sub`
506×	`sub-neg`
470×	`distribute-lft-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	281	5916
1	691	5476
2	2108	5039
3	6786	5036

Stop Event

1×	node limit

Counts

143 → 150

Calls

Call 1

Inputs
(.f64 -1 (.f64 y (log.f64 (/.f64 1 y))))
(.f64 -1 (.f64 y (log.f64 (/.f64 1 y))))
(.f64 -1 (.f64 y (log.f64 (/.f64 1 y))))
(.f64 -1 (.f64 y (log.f64 (/.f64 1 y))))
(.f64 y (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 y)))))
(.f64 y (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 y)))))
(.f64 y (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 y)))))
(.f64 y (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 y)))))
(*.f64 y (log.f64 y))
x
(.f64 x (+.f64 1 (/.f64 (.f64 y (log.f64 y)) x)))
(.f64 x (+.f64 1 (/.f64 (.f64 y (log.f64 y)) x)))
(.f64 x (+.f64 1 (/.f64 (.f64 y (log.f64 y)) x)))
x
(.f64 -1 (.f64 x (-.f64 (.f64 -1 (/.f64 (.f64 y (log.f64 y)) x)) 1)))
(.f64 -1 (.f64 x (-.f64 (.f64 -1 (/.f64 (.f64 y (log.f64 y)) x)) 1)))
(.f64 -1 (.f64 x (-.f64 (.f64 -1 (/.f64 (.f64 y (log.f64 y)) x)) 1)))
x
(.f64 -1 (.f64 y (log.f64 (/.f64 1 y))))
(.f64 y (+.f64 (.f64 -1 (log.f64 (/.f64 1 y))) (/.f64 x y)))
(.f64 y (+.f64 (.f64 -1 (log.f64 (/.f64 1 y))) (/.f64 x y)))
(.f64 y (+.f64 (.f64 -1 (log.f64 (/.f64 1 y))) (/.f64 x y)))
(.f64 y (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 y)))))
(.f64 -1 (.f64 y (+.f64 (.f64 -1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 y))))) (*.f64 -1 (/.f64 x y)))))
(.f64 -1 (.f64 y (+.f64 (.f64 -1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 y))))) (*.f64 -1 (/.f64 x y)))))
(.f64 -1 (.f64 y (+.f64 (.f64 -1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 y))))) (*.f64 -1 (/.f64 x y)))))
(exp.f64 (-.f64 x z))
(+.f64 (exp.f64 (-.f64 x z)) (.f64 y (.f64 (exp.f64 (-.f64 x z)) (log.f64 y))))
(+.f64 (exp.f64 (-.f64 x z)) (.f64 y (+.f64 (.f64 1/2 (.f64 y (.f64 (exp.f64 (-.f64 x z)) (pow.f64 (log.f64 y) 2)))) (*.f64 (exp.f64 (-.f64 x z)) (log.f64 y)))))
(+.f64 (exp.f64 (-.f64 x z)) (.f64 y (+.f64 (.f64 y (+.f64 (.f64 1/6 (.f64 y (.f64 (exp.f64 (-.f64 x z)) (pow.f64 (log.f64 y) 3)))) (.f64 1/2 (.f64 (exp.f64 (-.f64 x z)) (pow.f64 (log.f64 y) 2))))) (.f64 (exp.f64 (-.f64 x z)) (log.f64 y)))))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(*.f64 (exp.f64 (neg.f64 z)) (pow.f64 y y))
(+.f64 (.f64 x (.f64 (exp.f64 (neg.f64 z)) (pow.f64 y y))) (*.f64 (exp.f64 (neg.f64 z)) (pow.f64 y y)))
(+.f64 (.f64 x (+.f64 (.f64 1/2 (.f64 x (.f64 (exp.f64 (neg.f64 z)) (pow.f64 y y)))) (.f64 (exp.f64 (neg.f64 z)) (pow.f64 y y)))) (.f64 (exp.f64 (neg.f64 z)) (pow.f64 y y)))
(+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 1/6 (.f64 x (.f64 (exp.f64 (neg.f64 z)) (pow.f64 y y)))) (.f64 1/2 (.f64 (exp.f64 (neg.f64 z)) (pow.f64 y y))))) (.f64 (exp.f64 (neg.f64 z)) (pow.f64 y y)))) (*.f64 (exp.f64 (neg.f64 z)) (pow.f64 y y)))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(.f64 (exp.f64 (neg.f64 (+.f64 z (.f64 -1 x)))) (pow.f64 y y))
(.f64 (exp.f64 (neg.f64 (+.f64 z (.f64 -1 x)))) (pow.f64 y y))
(.f64 (exp.f64 (neg.f64 (+.f64 z (.f64 -1 x)))) (pow.f64 y y))
(.f64 (exp.f64 (neg.f64 (+.f64 z (.f64 -1 x)))) (pow.f64 y y))
(*.f64 (exp.f64 x) (pow.f64 y y))
(+.f64 (.f64 -1 (.f64 z (.f64 (exp.f64 x) (pow.f64 y y)))) (.f64 (exp.f64 x) (pow.f64 y y)))
(+.f64 (.f64 z (+.f64 (.f64 -1 (.f64 (exp.f64 x) (pow.f64 y y))) (.f64 1/2 (.f64 z (.f64 (exp.f64 x) (pow.f64 y y)))))) (*.f64 (exp.f64 x) (pow.f64 y y)))
(+.f64 (.f64 z (+.f64 (.f64 -1 (.f64 (exp.f64 x) (pow.f64 y y))) (.f64 z (+.f64 (.f64 -1/6 (.f64 z (.f64 (exp.f64 x) (pow.f64 y y)))) (.f64 1/2 (.f64 (exp.f64 x) (pow.f64 y y))))))) (.f64 (exp.f64 x) (pow.f64 y y)))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(.f64 (exp.f64 (+.f64 x (.f64 -1 z))) (pow.f64 y y))
(.f64 (exp.f64 (+.f64 x (.f64 -1 z))) (pow.f64 y y))
(.f64 (exp.f64 (+.f64 x (.f64 -1 z))) (pow.f64 y y))
(.f64 (exp.f64 (+.f64 x (.f64 -1 z))) (pow.f64 y y))
(+.f64 0 (*.f64 y (log.f64 y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 y y)) 2)) (log.f64 (cbrt.f64 (pow.f64 y y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 y y))) (log.f64 (sqrt.f64 (pow.f64 y y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (log.f64 y)))) 1)
(pow.f64 (*.f64 y (log.f64 y)) 1)
(pow.f64 (cbrt.f64 (*.f64 y (log.f64 y))) 3)
(pow.f64 (pow.f64 (*.f64 y (log.f64 y)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 y (log.f64 y))) 2)
(sqrt.f64 (pow.f64 (*.f64 y (log.f64 y)) 2))
(log.f64 (pow.f64 y y))
(log.f64 (+.f64 1 (-.f64 (pow.f64 y y) 1)))
(cbrt.f64 (pow.f64 (*.f64 y (log.f64 y)) 3))
(expm1.f64 (log1p.f64 (*.f64 y (log.f64 y))))
(log1p.f64 (-.f64 (pow.f64 y y) 1))
(exp.f64 (log.f64 (*.f64 y (log.f64 y))))
(exp.f64 (.f64 (log.f64 (.f64 y (log.f64 y))) 1))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y (log.f64 y) x))) 1)
(-.f64 (/.f64 (pow.f64 x 2) (-.f64 x (.f64 y (log.f64 y)))) (/.f64 (pow.f64 (.f64 y (log.f64 y)) 2) (-.f64 x (*.f64 y (log.f64 y)))))
(*.f64 (fma.f64 y (log.f64 y) x) 1)
(*.f64 1 (fma.f64 y (log.f64 y) x))
(*.f64 (cbrt.f64 (fma.f64 y (log.f64 y) x)) (pow.f64 (cbrt.f64 (fma.f64 y (log.f64 y) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y (log.f64 y) x)) 2) (cbrt.f64 (fma.f64 y (log.f64 y) x)))
(*.f64 (sqrt.f64 (fma.f64 y (log.f64 y) x)) (sqrt.f64 (fma.f64 y (log.f64 y) x)))
(.f64 (+.f64 (pow.f64 (.f64 y (log.f64 y)) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 (.f64 y (log.f64 y)) (-.f64 (.f64 y (log.f64 y)) x) (pow.f64 x 2))))
(.f64 (-.f64 (pow.f64 x 2) (pow.f64 (.f64 y (log.f64 y)) 2)) (/.f64 1 (-.f64 x (*.f64 y (log.f64 y)))))
(/.f64 1 (/.f64 (fma.f64 (.f64 y (log.f64 y)) (-.f64 (.f64 y (log.f64 y)) x) (pow.f64 x 2)) (+.f64 (pow.f64 (*.f64 y (log.f64 y)) 3) (pow.f64 x 3))))
(/.f64 1 (/.f64 (-.f64 x (.f64 y (log.f64 y))) (-.f64 (pow.f64 x 2) (pow.f64 (.f64 y (log.f64 y)) 2))))
(/.f64 (+.f64 (pow.f64 (.f64 y (log.f64 y)) 3) (pow.f64 x 3)) (fma.f64 (.f64 y (log.f64 y)) (-.f64 (*.f64 y (log.f64 y)) x) (pow.f64 x 2)))
(/.f64 (+.f64 (pow.f64 (.f64 y (log.f64 y)) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (.f64 y (log.f64 y)) 2) (-.f64 (pow.f64 x 2) (.f64 (.f64 x y) (log.f64 y)))))
(/.f64 (-.f64 (pow.f64 x 2) (pow.f64 (.f64 y (log.f64 y)) 2)) (-.f64 x (.f64 y (log.f64 y))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 y (log.f64 y)) 3) (pow.f64 x 3))) (neg.f64 (fma.f64 (.f64 y (log.f64 y)) (-.f64 (*.f64 y (log.f64 y)) x) (pow.f64 x 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 2) (pow.f64 (.f64 y (log.f64 y)) 2))) (neg.f64 (-.f64 x (.f64 y (log.f64 y)))))
(/.f64 (-.f64 (pow.f64 (.f64 y (log.f64 y)) 2) (pow.f64 x 2)) (-.f64 (.f64 y (log.f64 y)) x))
(pow.f64 (fma.f64 y (log.f64 y) x) 1)
(pow.f64 (cbrt.f64 (fma.f64 y (log.f64 y) x)) 3)
(pow.f64 (pow.f64 (fma.f64 y (log.f64 y) x) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 y (log.f64 y) x)) 2)
(sqrt.f64 (pow.f64 (fma.f64 y (log.f64 y) x) 2))
(log.f64 (*.f64 (pow.f64 y y) (exp.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 y (log.f64 y) x))))
(cbrt.f64 (pow.f64 (fma.f64 y (log.f64 y) x) 3))
(expm1.f64 (log1p.f64 (fma.f64 y (log.f64 y) x)))
(log1p.f64 (expm1.f64 (fma.f64 y (log.f64 y) x)))
(exp.f64 (log.f64 (fma.f64 y (log.f64 y) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 y (log.f64 y) x)) 1))
(fma.f64 y (log.f64 y) x)
(fma.f64 (log.f64 y) y x)
(fma.f64 (*.f64 y (log.f64 y)) 1 x)
(fma.f64 x 1 (*.f64 y (log.f64 y)))
(fma.f64 1 (*.f64 y (log.f64 y)) x)
(fma.f64 1 x (*.f64 y (log.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2) (*.f64 (cbrt.f64 (log.f64 y)) y) x)
(fma.f64 (cbrt.f64 (.f64 y (log.f64 y))) (pow.f64 (cbrt.f64 (.f64 y (log.f64 y))) 2) x)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 y (log.f64 y))) 2) (cbrt.f64 (.f64 y (log.f64 y))) x)
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (log.f64 y)) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 y (log.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 y (log.f64 y)))
(fma.f64 (sqrt.f64 (log.f64 y)) (*.f64 (sqrt.f64 (log.f64 y)) y) x)
(fma.f64 (sqrt.f64 (.f64 y (log.f64 y))) (sqrt.f64 (.f64 y (log.f64 y))) x)
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (log.f64 y)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y (log.f64 y)))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 (log.f64 y)) 2)) (cbrt.f64 (log.f64 y)) x)
(fma.f64 (*.f64 y (sqrt.f64 (log.f64 y))) (sqrt.f64 (log.f64 y)) x)
(fma.f64 (*.f64 (log.f64 y) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) x)
(fma.f64 (*.f64 (log.f64 y) (sqrt.f64 y)) (sqrt.f64 y) x)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))))) 1)
(/.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (exp.f64 z))
(pow.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))) 1)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))) 2)
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))) 2))
(log.f64 (pow.f64 (exp.f64 (pow.f64 y y)) (exp.f64 (-.f64 x z))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))) 3))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 y y) 3) (pow.f64 (exp.f64 (-.f64 x z)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 x z)) 3) (pow.f64 (pow.f64 y y) 3)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))))
(exp.f64 (fma.f64 y (log.f64 y) (-.f64 x z)))
(exp.f64 (*.f64 (fma.f64 y (log.f64 y) (-.f64 x z)) 1))

Outputs
(.f64 -1 (.f64 y (log.f64 (/.f64 1 y))))
(neg.f64 (*.f64 y (neg.f64 (log.f64 y))))
(*.f64 y (log.f64 y))
(.f64 -1 (.f64 y (log.f64 (/.f64 1 y))))
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(/.f64 (+.f64 (pow.f64 (.f64 y (log.f64 y)) 3) (pow.f64 x 3)) (fma.f64 (.f64 y (log.f64 y)) (-.f64 (*.f64 y (log.f64 y)) x) (pow.f64 x 2)))
(.f64 (-.f64 (pow.f64 x 2) (pow.f64 (.f64 y (log.f64 y)) 2)) (/.f64 1 (-.f64 x (*.f64 y (log.f64 y)))))
(/.f64 (-.f64 (pow.f64 x 2) (pow.f64 (.f64 y (log.f64 y)) 2)) (-.f64 x (.f64 y (log.f64 y))))
(/.f64 1 (/.f64 (fma.f64 (.f64 y (log.f64 y)) (-.f64 (.f64 y (log.f64 y)) x) (pow.f64 x 2)) (+.f64 (pow.f64 (*.f64 y (log.f64 y)) 3) (pow.f64 x 3))))
(.f64 (+.f64 (pow.f64 (.f64 y (log.f64 y)) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 (.f64 y (log.f64 y)) (-.f64 (.f64 y (log.f64 y)) x) (pow.f64 x 2))))
(/.f64 (+.f64 (pow.f64 (.f64 y (log.f64 y)) 3) (pow.f64 x 3)) (fma.f64 (.f64 y (log.f64 y)) (-.f64 (*.f64 y (log.f64 y)) x) (pow.f64 x 2)))
(/.f64 1 (/.f64 (-.f64 x (.f64 y (log.f64 y))) (-.f64 (pow.f64 x 2) (pow.f64 (.f64 y (log.f64 y)) 2))))
(/.f64 (-.f64 (pow.f64 x 2) (pow.f64 (.f64 y (log.f64 y)) 2)) (-.f64 x (.f64 y (log.f64 y))))
(/.f64 (+.f64 (pow.f64 (.f64 y (log.f64 y)) 3) (pow.f64 x 3)) (fma.f64 (.f64 y (log.f64 y)) (-.f64 (*.f64 y (log.f64 y)) x) (pow.f64 x 2)))
(.f64 (+.f64 (pow.f64 (.f64 y (log.f64 y)) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 (.f64 y (log.f64 y)) (-.f64 (.f64 y (log.f64 y)) x) (pow.f64 x 2))))
(/.f64 (+.f64 (pow.f64 (.f64 y (log.f64 y)) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (.f64 y (log.f64 y)) 2) (-.f64 (pow.f64 x 2) (.f64 (.f64 x y) (log.f64 y)))))
(.f64 (+.f64 (pow.f64 (.f64 y (log.f64 y)) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 (.f64 y (log.f64 y)) (-.f64 (.f64 y (log.f64 y)) x) (pow.f64 x 2))))
(/.f64 (+.f64 (pow.f64 (.f64 y (log.f64 y)) 3) (pow.f64 x 3)) (fma.f64 (.f64 y (log.f64 y)) (-.f64 (*.f64 y (log.f64 y)) x) (pow.f64 x 2)))
(/.f64 (-.f64 (pow.f64 x 2) (pow.f64 (.f64 y (log.f64 y)) 2)) (-.f64 x (.f64 y (log.f64 y))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 y (log.f64 y)) 3) (pow.f64 x 3))) (neg.f64 (fma.f64 (.f64 y (log.f64 y)) (-.f64 (*.f64 y (log.f64 y)) x) (pow.f64 x 2))))
(.f64 (+.f64 (pow.f64 (.f64 y (log.f64 y)) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 (.f64 y (log.f64 y)) (-.f64 (.f64 y (log.f64 y)) x) (pow.f64 x 2))))
(/.f64 (+.f64 (pow.f64 (.f64 y (log.f64 y)) 3) (pow.f64 x 3)) (fma.f64 (.f64 y (log.f64 y)) (-.f64 (*.f64 y (log.f64 y)) x) (pow.f64 x 2)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 2) (pow.f64 (.f64 y (log.f64 y)) 2))) (neg.f64 (-.f64 x (.f64 y (log.f64 y)))))
(/.f64 (-.f64 (pow.f64 x 2) (pow.f64 (.f64 y (log.f64 y)) 2)) (-.f64 x (.f64 y (log.f64 y))))
(/.f64 (-.f64 (pow.f64 (.f64 y (log.f64 y)) 2) (pow.f64 x 2)) (-.f64 (.f64 y (log.f64 y)) x))
(/.f64 (-.f64 (pow.f64 x 2) (pow.f64 (.f64 y (log.f64 y)) 2)) (-.f64 x (.f64 y (log.f64 y))))
(pow.f64 (fma.f64 y (log.f64 y) x) 1)
(expm1.f64 (log1p.f64 (fma.f64 y (log.f64 y) x)))
(fma.f64 y (log.f64 y) x)
(pow.f64 (cbrt.f64 (fma.f64 y (log.f64 y) x)) 3)
(expm1.f64 (log1p.f64 (fma.f64 y (log.f64 y) x)))
(fma.f64 y (log.f64 y) x)
(pow.f64 (pow.f64 (fma.f64 y (log.f64 y) x) 3) 1/3)
(expm1.f64 (log1p.f64 (fma.f64 y (log.f64 y) x)))
(fma.f64 y (log.f64 y) x)
(pow.f64 (sqrt.f64 (fma.f64 y (log.f64 y) x)) 2)
(expm1.f64 (log1p.f64 (fma.f64 y (log.f64 y) x)))
(fma.f64 y (log.f64 y) x)
(sqrt.f64 (pow.f64 (fma.f64 y (log.f64 y) x) 2))
(expm1.f64 (log1p.f64 (fma.f64 y (log.f64 y) x)))
(fma.f64 y (log.f64 y) x)
(log.f64 (*.f64 (pow.f64 y y) (exp.f64 x)))
(expm1.f64 (log1p.f64 (fma.f64 y (log.f64 y) x)))
(fma.f64 y (log.f64 y) x)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 y (log.f64 y) x))))
(expm1.f64 (log1p.f64 (fma.f64 y (log.f64 y) x)))
(fma.f64 y (log.f64 y) x)
(cbrt.f64 (pow.f64 (fma.f64 y (log.f64 y) x) 3))
(expm1.f64 (log1p.f64 (fma.f64 y (log.f64 y) x)))
(fma.f64 y (log.f64 y) x)
(expm1.f64 (log1p.f64 (fma.f64 y (log.f64 y) x)))
(fma.f64 y (log.f64 y) x)
(log1p.f64 (expm1.f64 (fma.f64 y (log.f64 y) x)))
(expm1.f64 (log1p.f64 (fma.f64 y (log.f64 y) x)))
(fma.f64 y (log.f64 y) x)
(exp.f64 (log.f64 (fma.f64 y (log.f64 y) x)))
(expm1.f64 (log1p.f64 (fma.f64 y (log.f64 y) x)))
(fma.f64 y (log.f64 y) x)
(exp.f64 (*.f64 (log.f64 (fma.f64 y (log.f64 y) x)) 1))
(expm1.f64 (log1p.f64 (fma.f64 y (log.f64 y) x)))
(fma.f64 y (log.f64 y) x)
(fma.f64 y (log.f64 y) x)
(expm1.f64 (log1p.f64 (fma.f64 y (log.f64 y) x)))
(fma.f64 (log.f64 y) y x)
(expm1.f64 (log1p.f64 (fma.f64 y (log.f64 y) x)))
(fma.f64 y (log.f64 y) x)
(fma.f64 (*.f64 y (log.f64 y)) 1 x)
(expm1.f64 (log1p.f64 (fma.f64 y (log.f64 y) x)))
(fma.f64 y (log.f64 y) x)
(fma.f64 x 1 (*.f64 y (log.f64 y)))
(expm1.f64 (log1p.f64 (fma.f64 y (log.f64 y) x)))
(fma.f64 y (log.f64 y) x)
(fma.f64 1 (*.f64 y (log.f64 y)) x)
(expm1.f64 (log1p.f64 (fma.f64 y (log.f64 y) x)))
(fma.f64 y (log.f64 y) x)
(fma.f64 1 x (*.f64 y (log.f64 y)))
(expm1.f64 (log1p.f64 (fma.f64 y (log.f64 y) x)))
(fma.f64 y (log.f64 y) x)
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2) (*.f64 (cbrt.f64 (log.f64 y)) y) x)
(expm1.f64 (log1p.f64 (fma.f64 y (log.f64 y) x)))
(fma.f64 y (log.f64 y) x)
(fma.f64 (cbrt.f64 (.f64 y (log.f64 y))) (pow.f64 (cbrt.f64 (.f64 y (log.f64 y))) 2) x)
(expm1.f64 (log1p.f64 (fma.f64 y (log.f64 y) x)))
(fma.f64 y (log.f64 y) x)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 y (log.f64 y))) 2) (cbrt.f64 (.f64 y (log.f64 y))) x)
(expm1.f64 (log1p.f64 (fma.f64 y (log.f64 y) x)))
(fma.f64 y (log.f64 y) x)
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (log.f64 y)) x)
(expm1.f64 (log1p.f64 (fma.f64 y (log.f64 y) x)))
(fma.f64 y (log.f64 y) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 y (log.f64 y)))
(expm1.f64 (log1p.f64 (fma.f64 y (log.f64 y) x)))
(fma.f64 y (log.f64 y) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 y (log.f64 y)))
(expm1.f64 (log1p.f64 (fma.f64 y (log.f64 y) x)))
(fma.f64 y (log.f64 y) x)
(fma.f64 (sqrt.f64 (log.f64 y)) (*.f64 (sqrt.f64 (log.f64 y)) y) x)
(expm1.f64 (log1p.f64 (fma.f64 y (log.f64 y) x)))
(fma.f64 y (log.f64 y) x)
(fma.f64 (sqrt.f64 (.f64 y (log.f64 y))) (sqrt.f64 (.f64 y (log.f64 y))) x)
(expm1.f64 (log1p.f64 (fma.f64 y (log.f64 y) x)))
(fma.f64 y (log.f64 y) x)
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (log.f64 y)) x)
(expm1.f64 (log1p.f64 (fma.f64 y (log.f64 y) x)))
(fma.f64 y (log.f64 y) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y (log.f64 y)))
(expm1.f64 (log1p.f64 (fma.f64 y (log.f64 y) x)))
(fma.f64 y (log.f64 y) x)
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 (log.f64 y)) 2)) (cbrt.f64 (log.f64 y)) x)
(expm1.f64 (log1p.f64 (fma.f64 y (log.f64 y) x)))
(fma.f64 y (log.f64 y) x)
(fma.f64 (*.f64 y (sqrt.f64 (log.f64 y))) (sqrt.f64 (log.f64 y)) x)
(expm1.f64 (log1p.f64 (fma.f64 y (log.f64 y) x)))
(fma.f64 y (log.f64 y) x)
(fma.f64 (*.f64 (log.f64 y) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) x)
(expm1.f64 (log1p.f64 (fma.f64 y (log.f64 y) x)))
(fma.f64 y (log.f64 y) x)
(fma.f64 (*.f64 (log.f64 y) (sqrt.f64 y)) (sqrt.f64 y) x)
(expm1.f64 (log1p.f64 (fma.f64 y (log.f64 y) x)))
(fma.f64 y (log.f64 y) x)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))))) 1)
(expm1.f64 (log1p.f64 (*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))))
(+.f64 0 (*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y)))
(+.f64 1 (expm1.f64 (-.f64 (fma.f64 y (log.f64 y) x) z)))
(/.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (exp.f64 z))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(pow.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))) 1)
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))) 3)
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(pow.f64 (pow.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))) 3) 1/3)
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(pow.f64 (sqrt.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))) 2)
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))) 2))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(log.f64 (pow.f64 (exp.f64 (pow.f64 y y)) (exp.f64 (-.f64 x z))))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))))))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))) 3))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 y y) 3) (pow.f64 (exp.f64 (-.f64 x z)) 3)))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(cbrt.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 x z)) 3) (pow.f64 (pow.f64 y y) 3)))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))))
(expm1.f64 (log1p.f64 (*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))))
(+.f64 0 (*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y)))
(+.f64 1 (expm1.f64 (-.f64 (fma.f64 y (log.f64 y) x) z)))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(exp.f64 (fma.f64 y (log.f64 y) (-.f64 x z)))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(exp.f64 (*.f64 (fma.f64 y (log.f64 y) (-.f64 x z)) 1))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))

eval32.0ms (0.7%)

Compiler: Compiled 2394 to 904 computations (62.2% saved)

prune23.0ms (0.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	147	3	150
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	148	4	152

Accuracy

100.0%

Counts

152 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	69.0%	(/.f64 (pow.f64 y y) (exp.f64 z))
▶	68.1%	(*.f64 (pow.f64 y y) (exp.f64 x))
✓	100.0%	(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
▶	83.3%	(exp.f64 (-.f64 x z))

Compiler

Compiled 37 to 25 computations (32.4% saved)

localize258.0ms (5.9%)

Localize:

Found 2 expressions with local error:

New	Accuracy	Program
✓	99.2%	(/.f64 (pow.f64 y y) (exp.f64 z))
✓	99.6%	(*.f64 (pow.f64 y y) (exp.f64 x))

Compiler

Compiled 39 to 11 computations (71.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 187.0ms

Operation ival-pow, time spent: 93.0ms, 50.0% of total-time

Operation ival-mult, time spent: 45.0ms, 24.0% of total-time

Operation ival-exp, time spent: 43.0ms, 23.0% of total-time

Operation ival-sub, time spent: 4.0ms, 2.0% of total-time

Operation ival-div, time spent: 3.0ms, 2.0% of total-time

Operation const, time spent: 1.0ms, 1.0% of total-time

series7.0ms (0.2%)

Counts

2 → 32

Calls

Call 1

Inputs
#<alt (*.f64 (pow.f64 y y) (exp.f64 x))>
#<alt (/.f64 (pow.f64 y y) (exp.f64 z))>

Outputs
#<alt (exp.f64 x)>
#<alt (+.f64 (exp.f64 x) (.f64 y (.f64 (exp.f64 x) (log.f64 y))))>
#<alt (+.f64 (exp.f64 x) (.f64 y (+.f64 (.f64 1/2 (.f64 y (.f64 (exp.f64 x) (pow.f64 (log.f64 y) 2)))) (*.f64 (exp.f64 x) (log.f64 y)))))>
#<alt (+.f64 (exp.f64 x) (.f64 y (+.f64 (.f64 y (+.f64 (.f64 1/6 (.f64 y (.f64 (exp.f64 x) (pow.f64 (log.f64 y) 3)))) (.f64 1/2 (.f64 (exp.f64 x) (pow.f64 (log.f64 y) 2))))) (.f64 (exp.f64 x) (log.f64 y)))))>
#<alt (*.f64 (exp.f64 x) (pow.f64 y y))>
#<alt (*.f64 (exp.f64 x) (pow.f64 y y))>
#<alt (*.f64 (exp.f64 x) (pow.f64 y y))>
#<alt (*.f64 (exp.f64 x) (pow.f64 y y))>
#<alt (*.f64 (exp.f64 x) (pow.f64 y y))>
#<alt (*.f64 (exp.f64 x) (pow.f64 y y))>
#<alt (*.f64 (exp.f64 x) (pow.f64 y y))>
#<alt (*.f64 (exp.f64 x) (pow.f64 y y))>
#<alt (pow.f64 y y)>
#<alt (+.f64 (*.f64 x (pow.f64 y y)) (pow.f64 y y))>
#<alt (+.f64 (.f64 x (+.f64 (.f64 1/2 (*.f64 x (pow.f64 y y))) (pow.f64 y y))) (pow.f64 y y))>
#<alt (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 1/6 (.f64 x (pow.f64 y y))) (*.f64 1/2 (pow.f64 y y)))) (pow.f64 y y))) (pow.f64 y y))>
#<alt (*.f64 (exp.f64 x) (pow.f64 y y))>
#<alt (*.f64 (exp.f64 x) (pow.f64 y y))>
#<alt (*.f64 (exp.f64 x) (pow.f64 y y))>
#<alt (*.f64 (exp.f64 x) (pow.f64 y y))>
#<alt (*.f64 (exp.f64 x) (pow.f64 y y))>
#<alt (*.f64 (exp.f64 x) (pow.f64 y y))>
#<alt (*.f64 (exp.f64 x) (pow.f64 y y))>
#<alt (*.f64 (exp.f64 x) (pow.f64 y y))>
#<alt (/.f64 1 (exp.f64 z))>
#<alt (+.f64 (/.f64 1 (exp.f64 z)) (/.f64 (*.f64 y (log.f64 y)) (exp.f64 z)))>
#<alt (+.f64 (.f64 y (+.f64 (.f64 1/2 (/.f64 (*.f64 y (pow.f64 (log.f64 y) 2)) (exp.f64 z))) (/.f64 (log.f64 y) (exp.f64 z)))) (/.f64 1 (exp.f64 z)))>
#<alt (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 1/6 (/.f64 (.f64 y (pow.f64 (log.f64 y) 3)) (exp.f64 z))) (*.f64 1/2 (/.f64 (pow.f64 (log.f64 y) 2) (exp.f64 z))))) (/.f64 (log.f64 y) (exp.f64 z)))) (/.f64 1 (exp.f64 z)))>
#<alt (pow.f64 y y)>
#<alt (+.f64 (.f64 -1 (.f64 z (pow.f64 y y))) (pow.f64 y y))>
#<alt (+.f64 (.f64 z (-.f64 (.f64 -1 (.f64 z (+.f64 (.f64 -1 (pow.f64 y y)) (*.f64 1/2 (pow.f64 y y))))) (pow.f64 y y))) (pow.f64 y y))>
#<alt (+.f64 (.f64 z (-.f64 (.f64 z (-.f64 (.f64 -1 (.f64 z (+.f64 (.f64 -1 (+.f64 (.f64 -1 (pow.f64 y y)) (.f64 1/2 (pow.f64 y y)))) (+.f64 (.f64 -1/2 (pow.f64 y y)) (.f64 1/6 (pow.f64 y y)))))) (+.f64 (.f64 -1 (pow.f64 y y)) (*.f64 1/2 (pow.f64 y y))))) (pow.f64 y y))) (pow.f64 y y))>

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	z	@	0	(/ (pow y y) (exp z))
1.0ms	y	@	0	(/ (pow y y) (exp z))
1.0ms	y	@	inf	(/ (pow y y) (exp z))
1.0ms	z	@	-inf	(/ (pow y y) (exp z))
1.0ms	z	@	inf	(/ (pow y y) (exp z))

rewrite91.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

870×	`log-prod`
747×	`log1p-expm1-u`
747×	`expm1-log1p-u`
432×	`pow2`
430×	`pow-unpow`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	52
1	170	52
2	2066	52

Stop Event

1×	node limit

Counts

2 → 71

Calls

Call 1

Inputs
(*.f64 (pow.f64 y y) (exp.f64 x))
(/.f64 (pow.f64 y y) (exp.f64 z))

Outputs
(+.f64 0 (*.f64 (pow.f64 y y) (exp.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 y y)) (exp.f64 x))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 y y)) (exp.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 y y)) (exp.f64 x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 y y)) (exp.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 y y) (exp.f64 x)))) 1)
(pow.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) 1)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 y y) (exp.f64 x))) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (pow.f64 y y) (exp.f64 x))) 2)
(pow.f64 (.f64 (pow.f64 y (.f64 y 3)) (exp.f64 (*.f64 x 3))) 1/3)
(pow.f64 (.f64 (exp.f64 (.f64 x 3)) (pow.f64 y (*.f64 y 3))) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) 2))
(log.f64 (pow.f64 (exp.f64 (pow.f64 y y)) (exp.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 y y) (exp.f64 x)))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) 3))
(cbrt.f64 (.f64 (pow.f64 y (.f64 y 3)) (exp.f64 (*.f64 x 3))))
(cbrt.f64 (.f64 (exp.f64 (.f64 x 3)) (pow.f64 y (*.f64 y 3))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 y y) (exp.f64 x))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 y y) (exp.f64 x))))
(exp.f64 (fma.f64 y (log.f64 y) x))
(exp.f64 (*.f64 (fma.f64 y (log.f64 y) x) 1))
(exp.f64 (.f64 (.f64 1/3 (fma.f64 y (log.f64 y) x)) 3))
(exp.f64 (.f64 (.f64 3 (fma.f64 y (log.f64 y) x)) 1/3))
(exp.f64 (.f64 (.f64 1/2 (fma.f64 y (log.f64 y) x)) 2))
(+.f64 0 (/.f64 (pow.f64 y y) (exp.f64 z)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 y y) (exp.f64 z)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 y y) (exp.f64 z))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 y y) (exp.f64 z))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 y y) (exp.f64 z))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 y y) (exp.f64 z)))) 1)
(*.f64 (pow.f64 y y) (exp.f64 (neg.f64 z)))
(*.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) 1)
(*.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) (log.f64 (exp.f64 1)))
(*.f64 1 (/.f64 (pow.f64 y y) (exp.f64 z)))
(.f64 (cbrt.f64 (pow.f64 y (.f64 2 y))) (/.f64 (cbrt.f64 (pow.f64 y y)) (exp.f64 z)))
(.f64 (cbrt.f64 (pow.f64 y (.f64 2 y))) (*.f64 (cbrt.f64 (pow.f64 y y)) (exp.f64 (neg.f64 z))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z))) (cbrt.f64 (pow.f64 (/.f64 (exp.f64 z) (pow.f64 y y)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (exp.f64 z) (pow.f64 y y)) -2)) (cbrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z))))
(*.f64 (sqrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z))) (sqrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z))))
(*.f64 (neg.f64 (pow.f64 y y)) (/.f64 1 (neg.f64 (exp.f64 z))))
(*.f64 (exp.f64 (neg.f64 z)) (pow.f64 y y))
(*.f64 (sqrt.f64 (pow.f64 y y)) (/.f64 (sqrt.f64 (pow.f64 y y)) (exp.f64 z)))
(.f64 (sqrt.f64 (pow.f64 y y)) (.f64 (sqrt.f64 (pow.f64 y y)) (exp.f64 (neg.f64 z))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (exp.f64 z)) 2)) (/.f64 (pow.f64 y y) (cbrt.f64 (exp.f64 z))))
(*.f64 (/.f64 1 (sqrt.f64 (exp.f64 z))) (/.f64 (pow.f64 y y) (sqrt.f64 (exp.f64 z))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 y (.f64 2 y))) 1) (/.f64 (cbrt.f64 (pow.f64 y y)) (exp.f64 z)))
(.f64 (/.f64 (cbrt.f64 (pow.f64 y (.f64 2 y))) (pow.f64 (cbrt.f64 (exp.f64 z)) 2)) (cbrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 y (.f64 2 y))) (sqrt.f64 (exp.f64 z))) (/.f64 (cbrt.f64 (pow.f64 y y)) (sqrt.f64 (exp.f64 z))))
(*.f64 (/.f64 (sqrt.f64 (pow.f64 y y)) 1) (/.f64 (sqrt.f64 (pow.f64 y y)) (exp.f64 z)))
(*.f64 (/.f64 (sqrt.f64 (pow.f64 y y)) (pow.f64 (cbrt.f64 (exp.f64 z)) 2)) (/.f64 (sqrt.f64 (pow.f64 y y)) (cbrt.f64 (exp.f64 z))))
(pow.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) 1)
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z))) 3)
(pow.f64 (pow.f64 (/.f64 (exp.f64 z) (pow.f64 y y)) -2) 1/2)
(pow.f64 (pow.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z))) 2)
(pow.f64 (/.f64 (exp.f64 z) (pow.f64 y y)) -1)
(pow.f64 (/.f64 (pow.f64 y (*.f64 y 3)) (pow.f64 (exp.f64 z) 3)) 1/3)
(pow.f64 (/.f64 (/.f64 (exp.f64 z) (pow.f64 y y)) 1) -1)
(neg.f64 (/.f64 (pow.f64 y y) (neg.f64 (exp.f64 z))))
(neg.f64 (/.f64 (neg.f64 (pow.f64 y y)) (exp.f64 z)))
(sqrt.f64 (pow.f64 (/.f64 (exp.f64 z) (pow.f64 y y)) -2))
(log.f64 (exp.f64 (/.f64 (pow.f64 y y) (exp.f64 z))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 y y) (exp.f64 z)))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) 3))
(cbrt.f64 (/.f64 (pow.f64 y (*.f64 y 3)) (pow.f64 (exp.f64 z) 3)))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 y y) (exp.f64 z))))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 y y) (exp.f64 z))))
(exp.f64 (fma.f64 y (log.f64 y) (neg.f64 z)))
(exp.f64 (*.f64 (fma.f64 y (log.f64 y) (neg.f64 z)) 1))
(exp.f64 (.f64 (.f64 1/3 (fma.f64 y (log.f64 y) (neg.f64 z))) 3))
(exp.f64 (.f64 (.f64 3 (fma.f64 y (log.f64 y) (neg.f64 z))) 1/3))
(exp.f64 (.f64 (.f64 1/2 (fma.f64 y (log.f64 y) (neg.f64 z))) 2))
(exp.f64 (.f64 (-.f64 z (.f64 y (log.f64 y))) -1))

simplify111.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

1654×	`fma-neg`
1532×	`fma-define`
740×	`unsub-neg`
534×	`*-commutative`
468×	`distribute-lft-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	267	3699
1	645	3637
2	1838	3571
3	5697	3564

Stop Event

1×	node limit

Counts

103 → 130

Calls

Call 1

Inputs
(exp.f64 x)
(+.f64 (exp.f64 x) (.f64 y (.f64 (exp.f64 x) (log.f64 y))))
(+.f64 (exp.f64 x) (.f64 y (+.f64 (.f64 1/2 (.f64 y (.f64 (exp.f64 x) (pow.f64 (log.f64 y) 2)))) (*.f64 (exp.f64 x) (log.f64 y)))))
(+.f64 (exp.f64 x) (.f64 y (+.f64 (.f64 y (+.f64 (.f64 1/6 (.f64 y (.f64 (exp.f64 x) (pow.f64 (log.f64 y) 3)))) (.f64 1/2 (.f64 (exp.f64 x) (pow.f64 (log.f64 y) 2))))) (.f64 (exp.f64 x) (log.f64 y)))))
(*.f64 (exp.f64 x) (pow.f64 y y))
(*.f64 (exp.f64 x) (pow.f64 y y))
(*.f64 (exp.f64 x) (pow.f64 y y))
(*.f64 (exp.f64 x) (pow.f64 y y))
(*.f64 (exp.f64 x) (pow.f64 y y))
(*.f64 (exp.f64 x) (pow.f64 y y))
(*.f64 (exp.f64 x) (pow.f64 y y))
(*.f64 (exp.f64 x) (pow.f64 y y))
(pow.f64 y y)
(+.f64 (*.f64 x (pow.f64 y y)) (pow.f64 y y))
(+.f64 (.f64 x (+.f64 (.f64 1/2 (*.f64 x (pow.f64 y y))) (pow.f64 y y))) (pow.f64 y y))
(+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 1/6 (.f64 x (pow.f64 y y))) (*.f64 1/2 (pow.f64 y y)))) (pow.f64 y y))) (pow.f64 y y))
(*.f64 (exp.f64 x) (pow.f64 y y))
(*.f64 (exp.f64 x) (pow.f64 y y))
(*.f64 (exp.f64 x) (pow.f64 y y))
(*.f64 (exp.f64 x) (pow.f64 y y))
(*.f64 (exp.f64 x) (pow.f64 y y))
(*.f64 (exp.f64 x) (pow.f64 y y))
(*.f64 (exp.f64 x) (pow.f64 y y))
(*.f64 (exp.f64 x) (pow.f64 y y))
(/.f64 1 (exp.f64 z))
(+.f64 (/.f64 1 (exp.f64 z)) (/.f64 (*.f64 y (log.f64 y)) (exp.f64 z)))
(+.f64 (.f64 y (+.f64 (.f64 1/2 (/.f64 (*.f64 y (pow.f64 (log.f64 y) 2)) (exp.f64 z))) (/.f64 (log.f64 y) (exp.f64 z)))) (/.f64 1 (exp.f64 z)))
(+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 1/6 (/.f64 (.f64 y (pow.f64 (log.f64 y) 3)) (exp.f64 z))) (*.f64 1/2 (/.f64 (pow.f64 (log.f64 y) 2) (exp.f64 z))))) (/.f64 (log.f64 y) (exp.f64 z)))) (/.f64 1 (exp.f64 z)))
(pow.f64 y y)
(+.f64 (.f64 -1 (.f64 z (pow.f64 y y))) (pow.f64 y y))
(+.f64 (.f64 z (-.f64 (.f64 -1 (.f64 z (+.f64 (.f64 -1 (pow.f64 y y)) (*.f64 1/2 (pow.f64 y y))))) (pow.f64 y y))) (pow.f64 y y))
(+.f64 (.f64 z (-.f64 (.f64 z (-.f64 (.f64 -1 (.f64 z (+.f64 (.f64 -1 (+.f64 (.f64 -1 (pow.f64 y y)) (.f64 1/2 (pow.f64 y y)))) (+.f64 (.f64 -1/2 (pow.f64 y y)) (.f64 1/6 (pow.f64 y y)))))) (+.f64 (.f64 -1 (pow.f64 y y)) (*.f64 1/2 (pow.f64 y y))))) (pow.f64 y y))) (pow.f64 y y))
(+.f64 0 (*.f64 (pow.f64 y y) (exp.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 y y)) (exp.f64 x))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 y y)) (exp.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 y y)) (exp.f64 x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 y y)) (exp.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 y y) (exp.f64 x)))) 1)
(pow.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) 1)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 y y) (exp.f64 x))) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (pow.f64 y y) (exp.f64 x))) 2)
(pow.f64 (.f64 (pow.f64 y (.f64 y 3)) (exp.f64 (*.f64 x 3))) 1/3)
(pow.f64 (.f64 (exp.f64 (.f64 x 3)) (pow.f64 y (*.f64 y 3))) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) 2))
(log.f64 (pow.f64 (exp.f64 (pow.f64 y y)) (exp.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 y y) (exp.f64 x)))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) 3))
(cbrt.f64 (.f64 (pow.f64 y (.f64 y 3)) (exp.f64 (*.f64 x 3))))
(cbrt.f64 (.f64 (exp.f64 (.f64 x 3)) (pow.f64 y (*.f64 y 3))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 y y) (exp.f64 x))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 y y) (exp.f64 x))))
(exp.f64 (fma.f64 y (log.f64 y) x))
(exp.f64 (*.f64 (fma.f64 y (log.f64 y) x) 1))
(exp.f64 (.f64 (.f64 1/3 (fma.f64 y (log.f64 y) x)) 3))
(exp.f64 (.f64 (.f64 3 (fma.f64 y (log.f64 y) x)) 1/3))
(exp.f64 (.f64 (.f64 1/2 (fma.f64 y (log.f64 y) x)) 2))
(+.f64 0 (/.f64 (pow.f64 y y) (exp.f64 z)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 y y) (exp.f64 z)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 y y) (exp.f64 z))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 y y) (exp.f64 z))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 y y) (exp.f64 z))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 y y) (exp.f64 z)))) 1)
(*.f64 (pow.f64 y y) (exp.f64 (neg.f64 z)))
(*.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) 1)
(*.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) (log.f64 (exp.f64 1)))
(*.f64 1 (/.f64 (pow.f64 y y) (exp.f64 z)))
(.f64 (cbrt.f64 (pow.f64 y (.f64 2 y))) (/.f64 (cbrt.f64 (pow.f64 y y)) (exp.f64 z)))
(.f64 (cbrt.f64 (pow.f64 y (.f64 2 y))) (*.f64 (cbrt.f64 (pow.f64 y y)) (exp.f64 (neg.f64 z))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z))) (cbrt.f64 (pow.f64 (/.f64 (exp.f64 z) (pow.f64 y y)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (exp.f64 z) (pow.f64 y y)) -2)) (cbrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z))))
(*.f64 (sqrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z))) (sqrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z))))
(*.f64 (neg.f64 (pow.f64 y y)) (/.f64 1 (neg.f64 (exp.f64 z))))
(*.f64 (exp.f64 (neg.f64 z)) (pow.f64 y y))
(*.f64 (sqrt.f64 (pow.f64 y y)) (/.f64 (sqrt.f64 (pow.f64 y y)) (exp.f64 z)))
(.f64 (sqrt.f64 (pow.f64 y y)) (.f64 (sqrt.f64 (pow.f64 y y)) (exp.f64 (neg.f64 z))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (exp.f64 z)) 2)) (/.f64 (pow.f64 y y) (cbrt.f64 (exp.f64 z))))
(*.f64 (/.f64 1 (sqrt.f64 (exp.f64 z))) (/.f64 (pow.f64 y y) (sqrt.f64 (exp.f64 z))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 y (.f64 2 y))) 1) (/.f64 (cbrt.f64 (pow.f64 y y)) (exp.f64 z)))
(.f64 (/.f64 (cbrt.f64 (pow.f64 y (.f64 2 y))) (pow.f64 (cbrt.f64 (exp.f64 z)) 2)) (cbrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 y (.f64 2 y))) (sqrt.f64 (exp.f64 z))) (/.f64 (cbrt.f64 (pow.f64 y y)) (sqrt.f64 (exp.f64 z))))
(*.f64 (/.f64 (sqrt.f64 (pow.f64 y y)) 1) (/.f64 (sqrt.f64 (pow.f64 y y)) (exp.f64 z)))
(*.f64 (/.f64 (sqrt.f64 (pow.f64 y y)) (pow.f64 (cbrt.f64 (exp.f64 z)) 2)) (/.f64 (sqrt.f64 (pow.f64 y y)) (cbrt.f64 (exp.f64 z))))
(pow.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) 1)
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z))) 3)
(pow.f64 (pow.f64 (/.f64 (exp.f64 z) (pow.f64 y y)) -2) 1/2)
(pow.f64 (pow.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z))) 2)
(pow.f64 (/.f64 (exp.f64 z) (pow.f64 y y)) -1)
(pow.f64 (/.f64 (pow.f64 y (*.f64 y 3)) (pow.f64 (exp.f64 z) 3)) 1/3)
(pow.f64 (/.f64 (/.f64 (exp.f64 z) (pow.f64 y y)) 1) -1)
(neg.f64 (/.f64 (pow.f64 y y) (neg.f64 (exp.f64 z))))
(neg.f64 (/.f64 (neg.f64 (pow.f64 y y)) (exp.f64 z)))
(sqrt.f64 (pow.f64 (/.f64 (exp.f64 z) (pow.f64 y y)) -2))
(log.f64 (exp.f64 (/.f64 (pow.f64 y y) (exp.f64 z))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 y y) (exp.f64 z)))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) 3))
(cbrt.f64 (/.f64 (pow.f64 y (*.f64 y 3)) (pow.f64 (exp.f64 z) 3)))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 y y) (exp.f64 z))))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 y y) (exp.f64 z))))
(exp.f64 (fma.f64 y (log.f64 y) (neg.f64 z)))
(exp.f64 (*.f64 (fma.f64 y (log.f64 y) (neg.f64 z)) 1))
(exp.f64 (.f64 (.f64 1/3 (fma.f64 y (log.f64 y) (neg.f64 z))) 3))
(exp.f64 (.f64 (.f64 3 (fma.f64 y (log.f64 y) (neg.f64 z))) 1/3))
(exp.f64 (.f64 (.f64 1/2 (fma.f64 y (log.f64 y) (neg.f64 z))) 2))
(exp.f64 (.f64 (-.f64 z (.f64 y (log.f64 y))) -1))

Outputs
(exp.f64 x)
(+.f64 (exp.f64 x) (.f64 y (.f64 (exp.f64 x) (log.f64 y))))
(fma.f64 y (*.f64 (exp.f64 x) (log.f64 y)) (exp.f64 x))
(.f64 (+.f64 (.f64 y (log.f64 y)) 1) (exp.f64 x))
(+.f64 (exp.f64 x) (.f64 y (+.f64 (.f64 1/2 (.f64 y (.f64 (exp.f64 x) (pow.f64 (log.f64 y) 2)))) (*.f64 (exp.f64 x) (log.f64 y)))))
(+.f64 (exp.f64 x) (.f64 y (fma.f64 1/2 (.f64 y (.f64 (exp.f64 x) (pow.f64 (log.f64 y) 2))) (.f64 (exp.f64 x) (log.f64 y)))))
(fma.f64 y (fma.f64 1/2 (.f64 (exp.f64 x) (.f64 y (pow.f64 (log.f64 y) 2))) (*.f64 (exp.f64 x) (log.f64 y))) (exp.f64 x))
(fma.f64 y (.f64 (exp.f64 x) (+.f64 (log.f64 y) (.f64 (pow.f64 (log.f64 y) 2) (*.f64 y 1/2)))) (exp.f64 x))
(+.f64 (exp.f64 x) (.f64 y (+.f64 (.f64 y (+.f64 (.f64 1/6 (.f64 y (.f64 (exp.f64 x) (pow.f64 (log.f64 y) 3)))) (.f64 1/2 (.f64 (exp.f64 x) (pow.f64 (log.f64 y) 2))))) (.f64 (exp.f64 x) (log.f64 y)))))
(+.f64 (exp.f64 x) (.f64 y (fma.f64 y (fma.f64 1/6 (.f64 y (.f64 (exp.f64 x) (pow.f64 (log.f64 y) 3))) (.f64 1/2 (.f64 (exp.f64 x) (pow.f64 (log.f64 y) 2)))) (.f64 (exp.f64 x) (log.f64 y)))))
(fma.f64 y (fma.f64 y (fma.f64 1/2 (.f64 (exp.f64 x) (pow.f64 (log.f64 y) 2)) (.f64 1/6 (.f64 (pow.f64 (log.f64 y) 3) (.f64 (exp.f64 x) y)))) (*.f64 (exp.f64 x) (log.f64 y))) (exp.f64 x))
(fma.f64 y (fma.f64 (exp.f64 x) (log.f64 y) (.f64 y (.f64 (exp.f64 x) (+.f64 (.f64 y (.f64 1/6 (pow.f64 (log.f64 y) 3))) (*.f64 1/2 (pow.f64 (log.f64 y) 2)))))) (exp.f64 x))
(*.f64 (exp.f64 x) (pow.f64 y y))
(*.f64 (exp.f64 x) (pow.f64 y y))
(*.f64 (exp.f64 x) (pow.f64 y y))
(*.f64 (exp.f64 x) (pow.f64 y y))
(*.f64 (exp.f64 x) (pow.f64 y y))
(*.f64 (exp.f64 x) (pow.f64 y y))
(*.f64 (exp.f64 x) (pow.f64 y y))
(*.f64 (exp.f64 x) (pow.f64 y y))
(pow.f64 y y)
(+.f64 (*.f64 x (pow.f64 y y)) (pow.f64 y y))
(*.f64 (+.f64 x 1) (pow.f64 y y))
(*.f64 (pow.f64 y y) (+.f64 x 1))
(+.f64 (.f64 x (+.f64 (.f64 1/2 (*.f64 x (pow.f64 y y))) (pow.f64 y y))) (pow.f64 y y))
(fma.f64 x (fma.f64 1/2 (*.f64 x (pow.f64 y y)) (pow.f64 y y)) (pow.f64 y y))
(fma.f64 x (.f64 (+.f64 (.f64 x 1/2) 1) (pow.f64 y y)) (pow.f64 y y))
(.f64 (pow.f64 y y) (+.f64 (.f64 x (*.f64 x 1/2)) (+.f64 x 1)))
(+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 1/6 (.f64 x (pow.f64 y y))) (*.f64 1/2 (pow.f64 y y)))) (pow.f64 y y))) (pow.f64 y y))
(fma.f64 x (fma.f64 x (fma.f64 1/6 (.f64 x (pow.f64 y y)) (.f64 1/2 (pow.f64 y y))) (pow.f64 y y)) (pow.f64 y y))
(fma.f64 x (fma.f64 x (.f64 (pow.f64 y y) (+.f64 (.f64 x 1/6) 1/2)) (pow.f64 y y)) (pow.f64 y y))
(fma.f64 x (fma.f64 x (*.f64 (pow.f64 y y) (fma.f64 x 1/6 1/2)) (pow.f64 y y)) (pow.f64 y y))
(*.f64 (exp.f64 x) (pow.f64 y y))
(*.f64 (exp.f64 x) (pow.f64 y y))
(*.f64 (exp.f64 x) (pow.f64 y y))
(*.f64 (exp.f64 x) (pow.f64 y y))
(*.f64 (exp.f64 x) (pow.f64 y y))
(*.f64 (exp.f64 x) (pow.f64 y y))
(*.f64 (exp.f64 x) (pow.f64 y y))
(*.f64 (exp.f64 x) (pow.f64 y y))
(/.f64 1 (exp.f64 z))
(exp.f64 (neg.f64 z))
(+.f64 (/.f64 1 (exp.f64 z)) (/.f64 (*.f64 y (log.f64 y)) (exp.f64 z)))
(+.f64 (exp.f64 (neg.f64 z)) (/.f64 (*.f64 y (log.f64 y)) (exp.f64 z)))
(fma.f64 y (/.f64 (log.f64 y) (exp.f64 z)) (exp.f64 (neg.f64 z)))
(+.f64 (.f64 y (+.f64 (.f64 1/2 (/.f64 (*.f64 y (pow.f64 (log.f64 y) 2)) (exp.f64 z))) (/.f64 (log.f64 y) (exp.f64 z)))) (/.f64 1 (exp.f64 z)))
(fma.f64 y (fma.f64 1/2 (*.f64 y (/.f64 (pow.f64 (log.f64 y) 2) (exp.f64 z))) (/.f64 (log.f64 y) (exp.f64 z))) (exp.f64 (neg.f64 z)))
(fma.f64 y (fma.f64 y (*.f64 (pow.f64 (log.f64 y) 2) (/.f64 1/2 (exp.f64 z))) (/.f64 (log.f64 y) (exp.f64 z))) (exp.f64 (neg.f64 z)))
(+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 1/6 (/.f64 (.f64 y (pow.f64 (log.f64 y) 3)) (exp.f64 z))) (*.f64 1/2 (/.f64 (pow.f64 (log.f64 y) 2) (exp.f64 z))))) (/.f64 (log.f64 y) (exp.f64 z)))) (/.f64 1 (exp.f64 z)))
(fma.f64 y (fma.f64 y (fma.f64 1/6 (.f64 y (/.f64 (pow.f64 (log.f64 y) 3) (exp.f64 z))) (.f64 1/2 (/.f64 (pow.f64 (log.f64 y) 2) (exp.f64 z)))) (/.f64 (log.f64 y) (exp.f64 z))) (exp.f64 (neg.f64 z)))
(fma.f64 y (fma.f64 y (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 y) 2) (exp.f64 z)) (.f64 y (.f64 (/.f64 (pow.f64 (log.f64 y) 3) (exp.f64 z)) 1/6))) (/.f64 (log.f64 y) (exp.f64 z))) (exp.f64 (neg.f64 z)))
(fma.f64 y (fma.f64 y (fma.f64 y (.f64 1/6 (/.f64 (pow.f64 (log.f64 y) 3) (exp.f64 z))) (.f64 (pow.f64 (log.f64 y) 2) (/.f64 1/2 (exp.f64 z)))) (/.f64 (log.f64 y) (exp.f64 z))) (exp.f64 (neg.f64 z)))
(pow.f64 y y)
(+.f64 (.f64 -1 (.f64 z (pow.f64 y y))) (pow.f64 y y))
(fma.f64 -1 (*.f64 (pow.f64 y y) z) (pow.f64 y y))
(*.f64 (+.f64 (neg.f64 z) 1) (pow.f64 y y))
(*.f64 (pow.f64 y y) (-.f64 1 z))
(+.f64 (.f64 z (-.f64 (.f64 -1 (.f64 z (+.f64 (.f64 -1 (pow.f64 y y)) (*.f64 1/2 (pow.f64 y y))))) (pow.f64 y y))) (pow.f64 y y))
(fma.f64 z (-.f64 (.f64 (neg.f64 z) (.f64 (pow.f64 y y) -1/2)) (pow.f64 y y)) (pow.f64 y y))
(fma.f64 z (-.f64 (.f64 (pow.f64 y y) (.f64 1/2 z)) (pow.f64 y y)) (pow.f64 y y))
(fma.f64 z (.f64 (pow.f64 y y) (+.f64 (.f64 1/2 z) -1)) (pow.f64 y y))
(fma.f64 z (*.f64 (pow.f64 y y) (fma.f64 1/2 z -1)) (pow.f64 y y))
(+.f64 (.f64 z (-.f64 (.f64 z (-.f64 (.f64 -1 (.f64 z (+.f64 (.f64 -1 (+.f64 (.f64 -1 (pow.f64 y y)) (.f64 1/2 (pow.f64 y y)))) (+.f64 (.f64 -1/2 (pow.f64 y y)) (.f64 1/6 (pow.f64 y y)))))) (+.f64 (.f64 -1 (pow.f64 y y)) (*.f64 1/2 (pow.f64 y y))))) (pow.f64 y y))) (pow.f64 y y))
(fma.f64 z (-.f64 (.f64 z (-.f64 (.f64 (neg.f64 z) (fma.f64 -1 (.f64 (pow.f64 y y) -1/2) (.f64 (pow.f64 y y) -1/3))) (*.f64 (pow.f64 y y) -1/2))) (pow.f64 y y)) (pow.f64 y y))
(fma.f64 z (fma.f64 z (fma.f64 (neg.f64 z) (fma.f64 (pow.f64 y y) -1/3 (.f64 1/2 (pow.f64 y y))) (.f64 1/2 (pow.f64 y y))) (neg.f64 (pow.f64 y y))) (pow.f64 y y))
(fma.f64 z (-.f64 (.f64 z (-.f64 (.f64 1/2 (pow.f64 y y)) (.f64 z (.f64 1/6 (pow.f64 y y))))) (pow.f64 y y)) (pow.f64 y y))
(fma.f64 z (+.f64 (.f64 z (.f64 (.f64 1/6 (pow.f64 y y)) (neg.f64 z))) (.f64 (pow.f64 y y) (fma.f64 1/2 z -1))) (pow.f64 y y))
(+.f64 0 (*.f64 (pow.f64 y y) (exp.f64 x)))
(*.f64 (exp.f64 x) (pow.f64 y y))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 y y)) (exp.f64 x))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 y y)) (exp.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 y y)) (exp.f64 x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 y y)) (exp.f64 x)))))
(*.f64 2 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 y y)) (exp.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 y y) (exp.f64 x)))) 1)
(*.f64 (exp.f64 x) (pow.f64 y y))
(pow.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) 1)
(*.f64 (exp.f64 x) (pow.f64 y y))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 y y) (exp.f64 x))) 3)
(*.f64 (exp.f64 x) (pow.f64 y y))
(pow.f64 (pow.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) 2) 1/2)
(*.f64 (exp.f64 x) (pow.f64 y y))
(pow.f64 (pow.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) 3) 1/3)
(*.f64 (exp.f64 x) (pow.f64 y y))
(pow.f64 (sqrt.f64 (*.f64 (pow.f64 y y) (exp.f64 x))) 2)
(*.f64 (exp.f64 x) (pow.f64 y y))
(pow.f64 (.f64 (pow.f64 y (.f64 y 3)) (exp.f64 (*.f64 x 3))) 1/3)
(cbrt.f64 (.f64 (pow.f64 y (.f64 y 3)) (pow.f64 (exp.f64 x) 3)))
(cbrt.f64 (.f64 (pow.f64 y (.f64 y 3)) (pow.f64 (exp.f64 3) x)))
(pow.f64 (.f64 (exp.f64 (.f64 x 3)) (pow.f64 y (*.f64 y 3))) 1/3)
(cbrt.f64 (.f64 (pow.f64 y (.f64 y 3)) (pow.f64 (exp.f64 x) 3)))
(cbrt.f64 (.f64 (pow.f64 y (.f64 y 3)) (pow.f64 (exp.f64 3) x)))
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) 2))
(*.f64 (exp.f64 x) (pow.f64 y y))
(log.f64 (pow.f64 (exp.f64 (pow.f64 y y)) (exp.f64 x)))
(*.f64 (exp.f64 x) (pow.f64 y y))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 y y) (exp.f64 x)))))
(*.f64 (exp.f64 x) (pow.f64 y y))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) 3))
(*.f64 (exp.f64 x) (pow.f64 y y))
(cbrt.f64 (.f64 (pow.f64 y (.f64 y 3)) (exp.f64 (*.f64 x 3))))
(cbrt.f64 (.f64 (pow.f64 y (.f64 y 3)) (pow.f64 (exp.f64 x) 3)))
(cbrt.f64 (.f64 (pow.f64 y (.f64 y 3)) (pow.f64 (exp.f64 3) x)))
(cbrt.f64 (.f64 (exp.f64 (.f64 x 3)) (pow.f64 y (*.f64 y 3))))
(cbrt.f64 (.f64 (pow.f64 y (.f64 y 3)) (pow.f64 (exp.f64 x) 3)))
(cbrt.f64 (.f64 (pow.f64 y (.f64 y 3)) (pow.f64 (exp.f64 3) x)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 y y) (exp.f64 x))))
(*.f64 (exp.f64 x) (pow.f64 y y))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 y y) (exp.f64 x))))
(*.f64 (exp.f64 x) (pow.f64 y y))
(exp.f64 (fma.f64 y (log.f64 y) x))
(*.f64 (exp.f64 x) (pow.f64 y y))
(exp.f64 (*.f64 (fma.f64 y (log.f64 y) x) 1))
(*.f64 (exp.f64 x) (pow.f64 y y))
(exp.f64 (.f64 (.f64 1/3 (fma.f64 y (log.f64 y) x)) 3))
(*.f64 (exp.f64 x) (pow.f64 y y))
(exp.f64 (.f64 (.f64 3 (fma.f64 y (log.f64 y) x)) 1/3))
(*.f64 (exp.f64 x) (pow.f64 y y))
(exp.f64 (.f64 (.f64 1/2 (fma.f64 y (log.f64 y) x)) 2))
(*.f64 (exp.f64 x) (pow.f64 y y))
(+.f64 0 (/.f64 (pow.f64 y y) (exp.f64 z)))
(/.f64 (pow.f64 y y) (exp.f64 z))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 y y) (exp.f64 z)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 y y) (exp.f64 z))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 y y) (exp.f64 z))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 y y) (exp.f64 z))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 y y) (exp.f64 z))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 y y) (exp.f64 z)))) 1)
(/.f64 (pow.f64 y y) (exp.f64 z))
(*.f64 (pow.f64 y y) (exp.f64 (neg.f64 z)))
(/.f64 (pow.f64 y y) (exp.f64 z))
(*.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) 1)
(/.f64 (pow.f64 y y) (exp.f64 z))
(*.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) (log.f64 (exp.f64 1)))
(/.f64 (pow.f64 y y) (exp.f64 z))
(*.f64 1 (/.f64 (pow.f64 y y) (exp.f64 z)))
(/.f64 (pow.f64 y y) (exp.f64 z))
(.f64 (cbrt.f64 (pow.f64 y (.f64 2 y))) (/.f64 (cbrt.f64 (pow.f64 y y)) (exp.f64 z)))
(.f64 (cbrt.f64 (pow.f64 y (.f64 y 2))) (/.f64 (cbrt.f64 (pow.f64 y y)) (exp.f64 z)))
(.f64 (cbrt.f64 (pow.f64 y (.f64 2 y))) (*.f64 (cbrt.f64 (pow.f64 y y)) (exp.f64 (neg.f64 z))))
(.f64 (cbrt.f64 (pow.f64 y (.f64 y 2))) (/.f64 (cbrt.f64 (pow.f64 y y)) (exp.f64 z)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z))) (cbrt.f64 (pow.f64 (/.f64 (exp.f64 z) (pow.f64 y y)) -2)))
(/.f64 (pow.f64 y y) (exp.f64 z))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (exp.f64 z) (pow.f64 y y)) -2)) (cbrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z))))
(/.f64 (pow.f64 y y) (exp.f64 z))
(*.f64 (sqrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z))) (sqrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z))))
(/.f64 (pow.f64 y y) (exp.f64 z))
(*.f64 (neg.f64 (pow.f64 y y)) (/.f64 1 (neg.f64 (exp.f64 z))))
(/.f64 (pow.f64 y y) (exp.f64 z))
(*.f64 (exp.f64 (neg.f64 z)) (pow.f64 y y))
(/.f64 (pow.f64 y y) (exp.f64 z))
(*.f64 (sqrt.f64 (pow.f64 y y)) (/.f64 (sqrt.f64 (pow.f64 y y)) (exp.f64 z)))
(/.f64 (pow.f64 y y) (exp.f64 z))
(.f64 (sqrt.f64 (pow.f64 y y)) (.f64 (sqrt.f64 (pow.f64 y y)) (exp.f64 (neg.f64 z))))
(/.f64 (pow.f64 y y) (exp.f64 z))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (exp.f64 z)) 2)) (/.f64 (pow.f64 y y) (cbrt.f64 (exp.f64 z))))
(/.f64 (pow.f64 y y) (exp.f64 z))
(*.f64 (/.f64 1 (sqrt.f64 (exp.f64 z))) (/.f64 (pow.f64 y y) (sqrt.f64 (exp.f64 z))))
(/.f64 (pow.f64 y y) (exp.f64 z))
(.f64 (/.f64 (cbrt.f64 (pow.f64 y (.f64 2 y))) 1) (/.f64 (cbrt.f64 (pow.f64 y y)) (exp.f64 z)))
(.f64 (cbrt.f64 (pow.f64 y (.f64 y 2))) (/.f64 (cbrt.f64 (pow.f64 y y)) (exp.f64 z)))
(.f64 (/.f64 (cbrt.f64 (pow.f64 y (.f64 2 y))) (pow.f64 (cbrt.f64 (exp.f64 z)) 2)) (cbrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z))))
(.f64 (cbrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z))) (/.f64 (cbrt.f64 (pow.f64 y (.f64 y 2))) (pow.f64 (cbrt.f64 (exp.f64 z)) 2)))
(.f64 (cbrt.f64 (pow.f64 y (.f64 y 2))) (/.f64 (cbrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z))) (pow.f64 (cbrt.f64 (exp.f64 z)) 2)))
(.f64 (/.f64 (cbrt.f64 (pow.f64 y (.f64 2 y))) (sqrt.f64 (exp.f64 z))) (/.f64 (cbrt.f64 (pow.f64 y y)) (sqrt.f64 (exp.f64 z))))
(.f64 (cbrt.f64 (pow.f64 y (.f64 y 2))) (/.f64 (cbrt.f64 (pow.f64 y y)) (exp.f64 z)))
(*.f64 (/.f64 (sqrt.f64 (pow.f64 y y)) 1) (/.f64 (sqrt.f64 (pow.f64 y y)) (exp.f64 z)))
(/.f64 (pow.f64 y y) (exp.f64 z))
(*.f64 (/.f64 (sqrt.f64 (pow.f64 y y)) (pow.f64 (cbrt.f64 (exp.f64 z)) 2)) (/.f64 (sqrt.f64 (pow.f64 y y)) (cbrt.f64 (exp.f64 z))))
(/.f64 (pow.f64 y y) (exp.f64 z))
(pow.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) 1)
(/.f64 (pow.f64 y y) (exp.f64 z))
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z))) 3)
(/.f64 (pow.f64 y y) (exp.f64 z))
(pow.f64 (pow.f64 (/.f64 (exp.f64 z) (pow.f64 y y)) -2) 1/2)
(/.f64 (pow.f64 y y) (exp.f64 z))
(pow.f64 (pow.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) 3) 1/3)
(/.f64 (pow.f64 y y) (exp.f64 z))
(pow.f64 (sqrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z))) 2)
(/.f64 (pow.f64 y y) (exp.f64 z))
(pow.f64 (/.f64 (exp.f64 z) (pow.f64 y y)) -1)
(/.f64 (pow.f64 y y) (exp.f64 z))
(pow.f64 (/.f64 (pow.f64 y (*.f64 y 3)) (pow.f64 (exp.f64 z) 3)) 1/3)
(cbrt.f64 (/.f64 (pow.f64 y (*.f64 y 3)) (pow.f64 (exp.f64 z) 3)))
(pow.f64 (/.f64 (/.f64 (exp.f64 z) (pow.f64 y y)) 1) -1)
(/.f64 (pow.f64 y y) (exp.f64 z))
(neg.f64 (/.f64 (pow.f64 y y) (neg.f64 (exp.f64 z))))
(/.f64 (pow.f64 y y) (exp.f64 z))
(neg.f64 (/.f64 (neg.f64 (pow.f64 y y)) (exp.f64 z)))
(/.f64 (pow.f64 y y) (exp.f64 z))
(sqrt.f64 (pow.f64 (/.f64 (exp.f64 z) (pow.f64 y y)) -2))
(/.f64 (pow.f64 y y) (exp.f64 z))
(log.f64 (exp.f64 (/.f64 (pow.f64 y y) (exp.f64 z))))
(/.f64 (pow.f64 y y) (exp.f64 z))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 y y) (exp.f64 z)))))
(/.f64 (pow.f64 y y) (exp.f64 z))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) 3))
(/.f64 (pow.f64 y y) (exp.f64 z))
(cbrt.f64 (/.f64 (pow.f64 y (*.f64 y 3)) (pow.f64 (exp.f64 z) 3)))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 y y) (exp.f64 z))))
(/.f64 (pow.f64 y y) (exp.f64 z))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 y y) (exp.f64 z))))
(/.f64 (pow.f64 y y) (exp.f64 z))
(exp.f64 (fma.f64 y (log.f64 y) (neg.f64 z)))
(/.f64 (pow.f64 y y) (exp.f64 z))
(exp.f64 (*.f64 (fma.f64 y (log.f64 y) (neg.f64 z)) 1))
(/.f64 (pow.f64 y y) (exp.f64 z))
(exp.f64 (.f64 (.f64 1/3 (fma.f64 y (log.f64 y) (neg.f64 z))) 3))
(/.f64 (pow.f64 y y) (exp.f64 z))
(exp.f64 (.f64 (.f64 3 (fma.f64 y (log.f64 y) (neg.f64 z))) 1/3))
(/.f64 (pow.f64 y y) (exp.f64 z))
(exp.f64 (.f64 (.f64 1/2 (fma.f64 y (log.f64 y) (neg.f64 z))) 2))
(/.f64 (pow.f64 y y) (exp.f64 z))
(exp.f64 (.f64 (-.f64 z (.f64 y (log.f64 y))) -1))
(/.f64 (pow.f64 y y) (exp.f64 z))

eval146.0ms (3.3%)

Compiler: Compiled 1826 to 688 computations (62.3% saved)

prune23.0ms (0.5%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	127	3	130
Fresh	0	0	0
Picked	3	0	3
Done	1	0	1
Total	131	3	134

Accuracy

100.0%

Counts

134 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	56.9%	(pow.f64 y y)
▶	59.3%	(exp.f64 (neg.f64 z))
▶	52.6%	(exp.f64 x)

Compiler

Compiled 17 to 13 computations (23.5% saved)

localize44.0ms (1%)

Compiler: Compiled 17 to 8 computations (52.9% saved)
Precisions: Click to see histograms. Total time spent on operations: 19.0ms
Operation ival-pow, time spent: 13.0ms, 67.0% of total-time
Operation ival-exp, time spent: 4.0ms, 21.0% of total-time
Operation ival-neg, time spent: 2.0ms, 10.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

eval0.0ms (0%)

Compiler: Compiled 3 to 3 computations (0% saved)

prune3.0ms (0.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

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

Accuracy

100.0%

Counts

3 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	56.9%	(pow.f64 y y)
✓	59.3%	(exp.f64 (neg.f64 z))
✓	52.6%	(exp.f64 x)

Compiler

Compiled 61 to 31 computations (49.2% saved)

regimes42.0ms (1%)

Counts

8 → 1

Calls

Call 1

Inputs
(exp.f64 x)
(exp.f64 (neg.f64 z))
(pow.f64 y y)
(exp.f64 (-.f64 x z))
(*.f64 (pow.f64 y y) (exp.f64 x))
(/.f64 (pow.f64 y y) (exp.f64 z))
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))

Outputs
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))

Calls

7 calls:

8.0ms	(*.f64 y (log.f64 y))
7.0ms	x
6.0ms	(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
6.0ms	(+.f64 x (*.f64 y (log.f64 y)))
6.0ms	z

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`z`
100.0%	1	`(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))`
100.0%	1	`(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)`
100.0%	1	`(+.f64 x (*.f64 y (log.f64 y)))`
100.0%	1	`(*.f64 y (log.f64 y))`

Compiler

Compiled 51 to 35 computations (31.4% saved)

regimes38.0ms (0.9%)

Counts

7 → 2

Calls

Call 1

Inputs
(exp.f64 x)
(exp.f64 (neg.f64 z))
(pow.f64 y y)
(exp.f64 (-.f64 x z))
(*.f64 (pow.f64 y y) (exp.f64 x))
(/.f64 (pow.f64 y y) (exp.f64 z))
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))

Outputs
(exp.f64 (-.f64 x z))
(pow.f64 y y)

Calls

3 calls:

16.0ms	y
11.0ms	x
10.0ms	z

Results

Accuracy	Segments	Branch
89.2%	2	`x`
92.0%	2	`y`
90.3%	2	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes167.0ms (3.8%)

Counts

3 → 4

Calls

Call 1

Inputs
(exp.f64 x)
(exp.f64 (neg.f64 z))
(pow.f64 y y)

Outputs
(exp.f64 (neg.f64 z))
(pow.f64 y y)
(exp.f64 x)
(exp.f64 (neg.f64 z))

Calls

3 calls:

125.0ms	y
23.0ms	x
19.0ms	z

Results

Accuracy	Segments	Branch
81.9%	5	`x`
81.8%	4	`z`
78.1%	3	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes29.0ms (0.7%)

Counts

2 → 3

Calls

Call 1

Inputs
(exp.f64 x)
(exp.f64 (neg.f64 z))

Outputs
(exp.f64 x)
(exp.f64 (neg.f64 z))
(exp.f64 x)

Calls

2 calls:

17.0ms	x
12.0ms	z

Results

Accuracy	Segments	Branch
79.8%	3	`x`
78.4%	3	`z`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes8.0ms (0.2%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(exp.f64 x)

Outputs
(exp.f64 x)

Calls

3 calls:

3.0ms	x
3.0ms	z
3.0ms	y

Results

Accuracy	Segments	Branch
52.6%	1	`y`
52.6%	1	`z`
52.6%	1	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch11.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	6.223519985094586e+43	9.2335477205562e+43

Results

8.0ms	49×	256	infinite
2.0ms	14×	256	valid
0.0ms	1×	256	valid

Compiler

Compiled 78 to 57 computations (26.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

Operation ival-log, time spent: 1.0ms, 33.0% of total-time

Operation ival-mult, time spent: 1.0ms, 33.0% of total-time

Operation ival-sub, time spent: 0.0ms, 0.0% of total-time

Operation ival-add, time spent: 0.0ms, 0.0% of total-time

Operation ival-exp, time spent: 0.0ms, 0.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

bsearch104.0ms (2.4%)

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
55.0ms	2.3589368108239504e+47	3.5683306343588515e+53
22.0ms	1.2765805690588223e-190	4.136670752710714e-181
27.0ms	-0.00011001975032649785	-2.1865795920090848e-11

Results

35.0ms	219×	256	infinite
61.0ms	212×	256	valid
0.0ms	1×	256	valid

Compiler

Compiled 378 to 301 computations (20.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

Operation ival-log, time spent: 8.0ms, 39.0% of total-time

Operation ival-mult, time spent: 4.0ms, 19.0% of total-time

Operation ival-add, time spent: 3.0ms, 15.0% of total-time

Operation ival-exp, time spent: 3.0ms, 15.0% of total-time

Operation ival-sub, time spent: 2.0ms, 10.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

bsearch35.0ms (0.8%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	60.76415990123995	259.2115264233873
19.0ms	-5.526550076487531e+55	-1.675109375872144e+51

Results

16.0ms	128×	256	infinite
13.0ms	95×	256	valid
0.0ms	1×	256	infinite

Compiler

Compiled 200 to 167 computations (16.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

Operation ival-log, time spent: 4.0ms, 37.0% of total-time

Operation ival-exp, time spent: 2.0ms, 19.0% of total-time

Operation ival-mult, time spent: 2.0ms, 19.0% of total-time

Operation ival-sub, time spent: 1.0ms, 9.0% of total-time

Operation ival-add, time spent: 1.0ms, 9.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

8×	`+-commutative`
6×	`sub-neg`
4×	`*-commutative`
2×	`neg-sub0`
2×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	221
1	55	221
2	59	221
3	60	221

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
(if (<=.f64 y 74999999999999996712500739696774781333405696) (exp.f64 (-.f64 x z)) (pow.f64 y y))
(if (<=.f64 z -8116567392432203/73786976294838206464) (exp.f64 (neg.f64 z)) (if (<=.f64 z 2449441655328671/1224720827664335609236962600350409901130557945655466490308353887654080091579137561403602952202220552420938147431280980285494456125931768646260680344573194358953094033321469230156313571586348749061881856) (pow.f64 y y) (if (<=.f64 z 360000000000000007671539654766762878089356640256) (exp.f64 x) (exp.f64 (neg.f64 z)))))
(if (<=.f64 x -5499999999999999962715217708988953870539396430692352) (exp.f64 x) (if (<=.f64 x 255) (exp.f64 (neg.f64 z)) (exp.f64 x)))
(exp.f64 x)

Outputs
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
(if (<=.f64 y 74999999999999996712500739696774781333405696) (exp.f64 (-.f64 x z)) (pow.f64 y y))
(if (<=.f64 z -8116567392432203/73786976294838206464) (exp.f64 (neg.f64 z)) (if (<=.f64 z 2449441655328671/1224720827664335609236962600350409901130557945655466490308353887654080091579137561403602952202220552420938147431280980285494456125931768646260680344573194358953094033321469230156313571586348749061881856) (pow.f64 y y) (if (<=.f64 z 360000000000000007671539654766762878089356640256) (exp.f64 x) (exp.f64 (neg.f64 z)))))
(if (<=.f64 x -5499999999999999962715217708988953870539396430692352) (exp.f64 x) (if (<=.f64 x 255) (exp.f64 (neg.f64 z)) (exp.f64 x)))
(if (or (<=.f64 x -5499999999999999962715217708988953870539396430692352) (not (<=.f64 x 255))) (exp.f64 x) (exp.f64 (neg.f64 z)))
(exp.f64 x)

Compiler

Compiled 74 to 50 computations (32.4% saved)

soundness763.0ms (17.3%)

Rules

3152×	`fma-define`
1772×	`fma-neg`
1654×	`fma-neg`
1532×	`fma-define`
1064×	`times-frac`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	267	3699
1	645	3637
2	1838	3571
3	5697	3564
0	281	5916
1	691	5476
2	2108	5039
3	6786	5036
0	44	473
1	108	421
2	295	421
3	871	405
4	1971	405
5	3435	405
6	5159	405
7	6112	405
8	6635	405
9	6973	405
10	7095	405
11	7136	405
12	7759	405
13	7916	405

Stop Event

1×	node limit
1×	node limit
1×	node limit

Compiler

Compiled 155 to 60 computations (61.3% saved)

end0.0ms (0%)

preprocess58.0ms (1.3%)

Compiler: Compiled 172 to 98 computations (43% saved)

analyze1.0ms (0%)

sample1.2s (27.9%)

preprocess484.0ms (11%)

eval1.0ms (0%)

prune2.0ms (0%)

localize94.0ms (2.1%)

series103.0ms (2.3%)

rewrite296.0ms (6.7%)

simplify198.0ms (4.5%)

eval32.0ms (0.7%)

prune23.0ms (0.5%)

localize258.0ms (5.9%)

series7.0ms (0.2%)

rewrite91.0ms (2.1%)

simplify111.0ms (2.5%)

eval146.0ms (3.3%)

prune23.0ms (0.5%)

localize44.0ms (1%)

eval0.0ms (0%)

prune3.0ms (0.1%)

regimes42.0ms (1%)

regimes38.0ms (0.9%)

regimes167.0ms (3.8%)

regimes29.0ms (0.7%)

regimes8.0ms (0.2%)

bsearch11.0ms (0.2%)

bsearch104.0ms (2.4%)

bsearch35.0ms (0.8%)

simplify7.0ms (0.1%)

soundness763.0ms (17.3%)

end0.0ms (0%)

preprocess58.0ms (1.3%)

Profiling