Metrics for expq3 (problem 3.4.2)

analyze438.0ms (1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	25.4%	74.6%	0%	0%	0%	0
0%	0%	25.4%	74.6%	0%	0%	0%	1
0%	0%	25.4%	74.6%	0%	0%	0%	2
0%	0%	25.4%	74.6%	0%	0%	0%	3
0%	0%	22.2%	77.8%	0%	0%	0%	4
0%	0%	20.6%	79.4%	0%	0%	0%	5
0%	0%	18.3%	81.7%	0%	0%	0%	6
0%	0%	10.7%	89.3%	0%	0%	0%	7
0%	0%	9.3%	90.7%	0%	0%	0%	8
0%	0%	8.2%	91.8%	0%	0%	0%	9
0%	0%	5.7%	94.3%	0%	0%	0%	10
0%	0%	5%	95%	0%	0%	0%	11
0%	0%	4.4%	95.6%	0%	0%	0%	12

Compiler

Compiled 54 to 30 computations (44.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 348.0ms

ival-exp: 191.0ms (54.9% of total)

ival-mult: 61.0ms (17.5% of total)

ival-<=: 22.0ms (6.3% of total)

...c/correct-round.rkt:121:19: 19.0ms (5.5% of total)

ival-sub: 16.0ms (4.6% of total)

ival-fabs: 13.0ms (3.7% of total)

ival-add: 9.0ms (2.6% of total)

ival-fmin: 7.0ms (2% of total)

ival-div: 4.0ms (1.2% of total)

ival-and: 4.0ms (1.2% of total)

const: 1.0ms (0.3% of total)

backward-pass: 0.0ms (0% of total)

sample37.7s (86.4%)

Results

19.7s	63086×	0	precondition
8.3s	5953×	2	valid
2.4s	2303×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 25.8s

ival-exp: 6.9s (26.9% of total)

ival-mult: 5.9s (22.9% of total)

ival-<=: 3.0s (11.7% of total)

ival-sub: 2.6s (10.2% of total)

...c/correct-round.rkt:121:19: 2.2s (8.5% of total)

ival-fabs: 1.9s (7.2% of total)

ival-add: 1.0s (4% of total)

ival-div: 804.0ms (3.1% of total)

ival-fmin: 598.0ms (2.3% of total)

backward-pass: 429.0ms (1.7% of total)

ival-and: 263.0ms (1% of total)

const: 98.0ms (0.4% of total)

Bogosity

preprocess110.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

662×	`times-frac`
578×	`div-sub`
499×	`fma-define`
425×	`distribute-lft-in`
424×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	95	937
1	292	921
2	754	921
3	2307	921
4	7707	921

Stop Event

1×	node limit

Calls

Call 1

Inputs
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 (neg.f64 a) b) eps)) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 (neg.f64 a) eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a (neg.f64 b)) eps)) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 (neg.f64 b) eps)) #s(literal 1 binary64))))
(/.f64 (.f64 (neg.f64 eps) (-.f64 (exp.f64 (.f64 (+.f64 a b) (neg.f64 eps))) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a (neg.f64 eps))) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b (neg.f64 eps))) #s(literal 1 binary64))))
(neg.f64 (/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 (neg.f64 a) b) eps)) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 (neg.f64 a) eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))))
(neg.f64 (/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a (neg.f64 b)) eps)) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 (neg.f64 b) eps)) #s(literal 1 binary64)))))
(neg.f64 (/.f64 (.f64 (neg.f64 eps) (-.f64 (exp.f64 (.f64 (+.f64 a b) (neg.f64 eps))) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a (neg.f64 eps))) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b (neg.f64 eps))) #s(literal 1 binary64)))))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 b a) eps)) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 b eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))))
(/.f64 (.f64 a (-.f64 (exp.f64 (.f64 (+.f64 eps b) a)) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 eps a)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b a)) #s(literal 1 binary64))))
(/.f64 (.f64 b (-.f64 (exp.f64 (.f64 (+.f64 a eps) b)) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a b)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 eps b)) #s(literal 1 binary64))))

Outputs
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))
(.f64 (/.f64 eps (expm1.f64 (.f64 eps b))) (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps a))))
(.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (/.f64 eps (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))
(.f64 (/.f64 eps (expm1.f64 (.f64 eps b))) (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps a))))
(.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (/.f64 eps (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 (neg.f64 a) b) eps)) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 (neg.f64 a) eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))
(.f64 (/.f64 eps (expm1.f64 (.f64 eps (neg.f64 a)))) (/.f64 (expm1.f64 (.f64 eps (+.f64 b (neg.f64 a)))) (expm1.f64 (.f64 eps b))))
(.f64 eps (/.f64 (/.f64 (expm1.f64 (.f64 eps (-.f64 b a))) (expm1.f64 (.f64 eps b))) (expm1.f64 (.f64 a (neg.f64 eps)))))
(.f64 eps (/.f64 (expm1.f64 (.f64 eps (-.f64 b a))) (.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (*.f64 a (neg.f64 eps))))))
(.f64 eps (/.f64 (expm1.f64 (.f64 eps (-.f64 b a))) (.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (*.f64 eps (neg.f64 a))))))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a (neg.f64 b)) eps)) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 (neg.f64 b) eps)) #s(literal 1 binary64))))
(.f64 eps (/.f64 (expm1.f64 (.f64 eps (-.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps (neg.f64 b))))))
(.f64 (/.f64 eps (expm1.f64 (.f64 eps (neg.f64 b)))) (/.f64 (expm1.f64 (.f64 eps (-.f64 a b))) (expm1.f64 (.f64 eps a))))
(.f64 (expm1.f64 (.f64 eps (-.f64 a b))) (/.f64 eps (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps (neg.f64 b))))))
(/.f64 (.f64 (neg.f64 eps) (-.f64 (exp.f64 (.f64 (+.f64 a b) (neg.f64 eps))) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a (neg.f64 eps))) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b (neg.f64 eps))) #s(literal 1 binary64))))
(.f64 (/.f64 (neg.f64 eps) (expm1.f64 (.f64 eps (neg.f64 a)))) (/.f64 (expm1.f64 (.f64 (+.f64 a b) (neg.f64 eps))) (expm1.f64 (.f64 eps (neg.f64 b)))))
(.f64 (expm1.f64 (.f64 eps (neg.f64 (+.f64 a b)))) (/.f64 (neg.f64 eps) (.f64 (expm1.f64 (.f64 a (neg.f64 eps))) (expm1.f64 (*.f64 eps (neg.f64 b))))))
(.f64 eps (/.f64 (expm1.f64 (.f64 eps (neg.f64 (+.f64 a b)))) (.f64 (expm1.f64 (.f64 eps (neg.f64 b))) (neg.f64 (expm1.f64 (*.f64 a (neg.f64 eps)))))))
(.f64 eps (/.f64 (expm1.f64 (.f64 eps (-.f64 (neg.f64 b) a))) (.f64 (expm1.f64 (.f64 eps (neg.f64 a))) (neg.f64 (expm1.f64 (*.f64 eps (neg.f64 b)))))))
(neg.f64 (/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 (neg.f64 a) b) eps)) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 (neg.f64 a) eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))))
(/.f64 (.f64 eps (expm1.f64 (.f64 eps (+.f64 b (neg.f64 a))))) (neg.f64 (.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (*.f64 eps (neg.f64 a))))))
(.f64 (expm1.f64 (.f64 eps (-.f64 b a))) (/.f64 eps (.f64 (expm1.f64 (.f64 eps b)) (neg.f64 (expm1.f64 (*.f64 a (neg.f64 eps)))))))
(.f64 eps (/.f64 (expm1.f64 (.f64 eps (-.f64 b a))) (.f64 (expm1.f64 (.f64 eps b)) (neg.f64 (expm1.f64 (*.f64 eps (neg.f64 a)))))))
(neg.f64 (/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a (neg.f64 b)) eps)) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 (neg.f64 b) eps)) #s(literal 1 binary64)))))
(/.f64 (.f64 eps (expm1.f64 (.f64 eps (-.f64 a b)))) (neg.f64 (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps (neg.f64 b))))))
(.f64 eps (/.f64 (expm1.f64 (.f64 eps (-.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (neg.f64 (expm1.f64 (*.f64 eps (neg.f64 b)))))))
(.f64 (expm1.f64 (.f64 eps (-.f64 a b))) (/.f64 eps (.f64 (expm1.f64 (.f64 eps a)) (neg.f64 (expm1.f64 (*.f64 eps (neg.f64 b)))))))
(.f64 (expm1.f64 (.f64 eps (-.f64 a b))) (/.f64 (neg.f64 eps) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps (neg.f64 b))))))
(neg.f64 (/.f64 (.f64 (neg.f64 eps) (-.f64 (exp.f64 (.f64 (+.f64 a b) (neg.f64 eps))) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a (neg.f64 eps))) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b (neg.f64 eps))) #s(literal 1 binary64)))))
(/.f64 (.f64 (neg.f64 eps) (expm1.f64 (.f64 (+.f64 a b) (neg.f64 eps)))) (neg.f64 (.f64 (expm1.f64 (.f64 eps (neg.f64 a))) (expm1.f64 (*.f64 eps (neg.f64 b))))))
(/.f64 (.f64 eps (expm1.f64 (.f64 eps (neg.f64 (+.f64 a b))))) (.f64 (expm1.f64 (.f64 a (neg.f64 eps))) (expm1.f64 (*.f64 eps (neg.f64 b)))))
(.f64 (expm1.f64 (.f64 eps (neg.f64 (+.f64 a b)))) (/.f64 (/.f64 eps (expm1.f64 (.f64 a (neg.f64 eps)))) (expm1.f64 (.f64 eps (neg.f64 b)))))
(.f64 eps (/.f64 (/.f64 (expm1.f64 (.f64 eps (-.f64 (neg.f64 b) a))) (expm1.f64 (.f64 eps (neg.f64 b)))) (expm1.f64 (.f64 eps (neg.f64 a)))))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 b a) eps)) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 b eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))))
(.f64 (/.f64 eps (expm1.f64 (.f64 eps b))) (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps a))))
(.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (/.f64 eps (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))))
(/.f64 (.f64 a (-.f64 (exp.f64 (.f64 (+.f64 eps b) a)) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 eps a)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b a)) #s(literal 1 binary64))))
(.f64 a (/.f64 (expm1.f64 (.f64 a (+.f64 eps b))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 a b)))))
(.f64 (expm1.f64 (.f64 a (+.f64 eps b))) (/.f64 a (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 a b)))))
(/.f64 (.f64 b (-.f64 (exp.f64 (.f64 (+.f64 a eps) b)) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a b)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 eps b)) #s(literal 1 binary64))))
(.f64 (/.f64 b (expm1.f64 (.f64 a b))) (/.f64 (expm1.f64 (.f64 b (+.f64 eps a))) (expm1.f64 (.f64 eps b))))
(.f64 b (/.f64 (expm1.f64 (.f64 b (+.f64 eps a))) (.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (*.f64 a b)))))
(.f64 (expm1.f64 (.f64 b (+.f64 eps a))) (/.f64 b (.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (*.f64 a b)))))

Symmetry

(sort a b)

explain670.0ms (1.5%)

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
237	0	-	2	(-6.835301190307613e-62 8.758907891899804e-74 6.916510244371479e-93)	`(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))`
150	1	(-4.236873755931873e-114 3.141905290594495e-185 6.804170730914019e-211)	0	-	`(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))`
117	1	(-4.236873755931873e-114 3.141905290594495e-185 6.804170730914019e-211)	0	-	`(-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))`
112	0	-	0	-	`(-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))`
0	0	-	0	-	`b`
0	0	-	0	-	`(exp.f64 (*.f64 b eps))`
0	0	-	0	-	`(*.f64 (+.f64 a b) eps)`
0	0	-	0	-	`(.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))`
0	0	-	0	-	`(.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64)))`
0	0	-	0	-	`eps`
0	0	-	0	-	`(exp.f64 (*.f64 (+.f64 a b) eps))`
0	0	-	0	-	`(*.f64 a eps)`
0	0	-	0	-	`#s(literal 1 binary64)`
0	0	-	0	-	`(exp.f64 (*.f64 a eps))`
0	0	-	0	-	`a`
0	0	-	0	-	`(*.f64 b eps)`
0	0	-	0	-	`(+.f64 a b)`

Results

443.0ms	354×	2	valid
121.0ms	158×	1	valid

Compiler

Compiled 233 to 53 computations (77.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 452.0ms

ival-exp: 252.0ms (55.7% of total)

ival-mult: 101.0ms (22.3% of total)

ival-sub: 53.0ms (11.7% of total)

backward-pass: 29.0ms (6.4% of total)

ival-add: 8.0ms (1.8% of total)

ival-div: 7.0ms (1.5% of total)

const: 2.0ms (0.4% of total)

eval0.0ms (0%)

Compiler: Compiled 39 to 16 computations (59% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	31.9%	(.f64 (/.f64 eps (expm1.f64 (.f64 eps b))) (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps a))))
▶	10.4%	(.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (/.f64 eps (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))))

Status

Accuracy

Program

▶

31.9%

(*.f64 (/.f64 eps (expm1.f64 (*.f64 eps b))) (/.f64 (expm1.f64 (*.f64 eps (+.f64 a b))) (expm1.f64 (*.f64 eps a))))

▶

10.4%

(*.f64 (expm1.f64 (*.f64 eps (+.f64 a b))) (/.f64 eps (*.f64 (expm1.f64 (*.f64 eps a)) (expm1.f64 (*.f64 eps b)))))

Compiler

Compiled 42 to 26 computations (38.1% saved)

simplify474.0ms (1.1%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Program
✓	cost-diff	(*.f64 eps b)
✓	cost-diff	(expm1.f64 (*.f64 eps b))
✓	cost-diff	(/.f64 eps (expm1.f64 (*.f64 eps b)))
✓	cost-diff	(.f64 (/.f64 eps (expm1.f64 (.f64 eps b))) (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps a))))
✓	cost-diff	(+.f64 a b)
✓	cost-diff	(*.f64 eps (+.f64 a b))
✓	cost-diff	(expm1.f64 (*.f64 eps (+.f64 a b)))
✓	cost-diff	(.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (/.f64 eps (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))))

Rules

608×	`div-sub`
602×	`fma-neg`
538×	`distribute-lft-neg-in`
366×	`sub-neg`
358×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	585
1	47	585
2	96	585
3	157	585
4	310	585
5	599	585
6	1038	585
7	2156	585
8	4041	585
9	5847	585
10	6277	585
11	6322	585
12	6330	585
13	6330	585
14	6493	585
15	6581	585
16	6754	585
17	7168	585
18	7687	585
19	7881	585
20	7959	585

Stop Event

1×	node limit

Calls

Call 1

Inputs
(.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (/.f64 eps (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))))
(expm1.f64 (*.f64 eps (+.f64 a b)))
(*.f64 eps (+.f64 a b))
eps
(+.f64 a b)
a
b
(/.f64 eps (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b))))
(.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))
(expm1.f64 (*.f64 eps a))
(*.f64 eps a)
(expm1.f64 (*.f64 eps b))
(*.f64 eps b)
(.f64 (/.f64 eps (expm1.f64 (.f64 eps b))) (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps a))))
(/.f64 eps (expm1.f64 (*.f64 eps b)))
eps
(expm1.f64 (*.f64 eps b))
(*.f64 eps b)
b
(/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps a)))
(expm1.f64 (*.f64 eps (+.f64 a b)))
(*.f64 eps (+.f64 a b))
(+.f64 a b)
a
(expm1.f64 (*.f64 eps a))
(*.f64 eps a)

Outputs
(.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (/.f64 eps (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))))
(.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (/.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (expm1.f64 (.f64 eps b))))
(.f64 (/.f64 eps (expm1.f64 (.f64 eps b))) (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps a))))
(.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps b))))
(expm1.f64 (*.f64 eps (+.f64 a b)))
(*.f64 eps (+.f64 a b))
eps
(+.f64 a b)
a
b
(/.f64 eps (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b))))
(/.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (expm1.f64 (.f64 eps b)))
(.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))
(expm1.f64 (*.f64 eps a))
(*.f64 eps a)
(expm1.f64 (*.f64 eps b))
(*.f64 eps b)
(.f64 (/.f64 eps (expm1.f64 (.f64 eps b))) (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps a))))
(.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (/.f64 eps (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))))
(.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (/.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (expm1.f64 (.f64 eps b))))
(.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps b))))
(/.f64 eps (expm1.f64 (*.f64 eps b)))
eps
(expm1.f64 (*.f64 eps b))
(*.f64 eps b)
b
(/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps a)))
(expm1.f64 (*.f64 eps (+.f64 a b)))
(*.f64 eps (+.f64 a b))
(+.f64 a b)
a
(expm1.f64 (*.f64 eps a))
(*.f64 eps a)

localize86.0ms (0.2%)

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 eps (+.f64 a b))
✓	accuracy	99.7%	(.f64 (/.f64 eps (expm1.f64 (.f64 eps b))) (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps a))))
✓	accuracy	47.3%	(/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps a)))
✓	accuracy	46.5%	(/.f64 eps (expm1.f64 (*.f64 eps b)))
✓	accuracy	100.0%	(*.f64 eps (+.f64 a b))
✓	accuracy	99.9%	(.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))
✓	accuracy	92.5%	(/.f64 eps (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b))))
✓	accuracy	19.7%	(.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (/.f64 eps (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))))

Results

50.0ms

256×

valid

Compiler

Compiled 139 to 17 computations (87.8% saved)

Precisions

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

ival-mult: 14.0ms (53.3% of total)

ival-div: 5.0ms (19.1% of total)

ival-expm1: 4.0ms (15.2% of total)

ival-add: 2.0ms (7.6% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

series93.0ms (0.2%)

Counts

11 → 330

Calls

Call 1

Inputs
#<alt (.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (/.f64 eps (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))))>
#<alt (expm1.f64 (*.f64 eps (+.f64 a b)))>
#<alt (*.f64 eps (+.f64 a b))>
#<alt (+.f64 a b)>
#<alt (.f64 (/.f64 eps (expm1.f64 (.f64 eps b))) (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps a))))>
#<alt (/.f64 eps (expm1.f64 (*.f64 eps b)))>
#<alt (expm1.f64 (*.f64 eps b))>
#<alt (*.f64 eps b)>
#<alt (/.f64 eps (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b))))>
#<alt (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))>
#<alt (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps a)))>

Outputs
#<alt (/.f64 (+.f64 a b) (*.f64 a b))>
#<alt (+.f64 (.f64 eps (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (.f64 a b))) (/.f64 (.f64 (+.f64 a b) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 a (pow.f64 b #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 a #s(literal 2 binary64)) b)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))>
#<alt (+.f64 (.f64 eps (-.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (.f64 a b))) (.f64 eps (-.f64 (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 3 binary64)) (.f64 a b))) (+.f64 (/.f64 (.f64 (+.f64 a b) (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 a (pow.f64 b #s(literal 3 binary64)))) (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) b)) (.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))))) (.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 a (pow.f64 b #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 a #s(literal 2 binary64)) b))) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (.f64 a b))) (/.f64 (.f64 (+.f64 a b) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 a (pow.f64 b #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 a #s(literal 2 binary64)) b)))) (.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))) (.f64 a b)))))) (/.f64 (.f64 (+.f64 a b) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 a (pow.f64 b #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 a #s(literal 2 binary64)) b)))) (.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))>
#<alt (+.f64 (.f64 eps (-.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (.f64 a b))) (.f64 eps (-.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 3 binary64)) (.f64 a b))) (.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 4 binary64)) (.f64 a b))) (+.f64 (/.f64 (.f64 (+.f64 a b) (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 a (pow.f64 b #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 a #s(literal 4 binary64)) b)) (+.f64 (.f64 #s(literal 1/12 binary64) (.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 3 binary64)))) (.f64 #s(literal 1/12 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 2 binary64)))))))) (.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) (+.f64 (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 a (pow.f64 b #s(literal 3 binary64)))) (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) b)) (.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (.f64 a b))) (/.f64 (.f64 (+.f64 a b) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 a (pow.f64 b #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 a #s(literal 2 binary64)) b)))) (.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))) (.f64 a b)) (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 a (pow.f64 b #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 a #s(literal 2 binary64)) b))) (-.f64 (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 3 binary64)) (.f64 a b))) (+.f64 (/.f64 (.f64 (+.f64 a b) (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 a (pow.f64 b #s(literal 3 binary64)))) (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) b)) (.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))))) (.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 a (pow.f64 b #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 a #s(literal 2 binary64)) b))) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (.f64 a b))) (/.f64 (.f64 (+.f64 a b) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 a (pow.f64 b #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 a #s(literal 2 binary64)) b)))) (.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))) (.f64 a b))))) (.f64 a b))))))) (+.f64 (/.f64 (.f64 (+.f64 a b) (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 a (pow.f64 b #s(literal 3 binary64)))) (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) b)) (.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))))) (.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 a (pow.f64 b #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 a #s(literal 2 binary64)) b))) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (.f64 a b))) (/.f64 (.f64 (+.f64 a b) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 a (pow.f64 b #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 a #s(literal 2 binary64)) b)))) (.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))) (.f64 a b)))))) (/.f64 (.f64 (+.f64 a b) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 a (pow.f64 b #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 a #s(literal 2 binary64)) b)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))>
#<alt (/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))>
#<alt (/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))>
#<alt (/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))>
#<alt (/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))>
#<alt (/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))>
#<alt (/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))>
#<alt (/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))>
#<alt (/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))>
#<alt (/.f64 #s(literal 1 binary64) a)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (.f64 a (-.f64 (/.f64 (.f64 eps (exp.f64 (.f64 b eps))) (-.f64 (exp.f64 (.f64 b eps)) #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) eps)))) a)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (.f64 a (-.f64 (+.f64 (.f64 a (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (.f64 b eps))) (-.f64 (exp.f64 (.f64 b eps)) #s(literal 1 binary64)))) (+.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 eps (-.f64 (/.f64 (.f64 eps (exp.f64 (.f64 b eps))) (-.f64 (exp.f64 (.f64 b eps)) #s(literal 1 binary64))) (.f64 #s(literal 1/2 binary64) eps))))))) (/.f64 (.f64 eps (exp.f64 (.f64 b eps))) (-.f64 (exp.f64 (.f64 b eps)) #s(literal 1 binary64)))) (*.f64 #s(literal 1/2 binary64) eps)))) a)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (.f64 a (-.f64 (+.f64 (.f64 a (-.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (.f64 b eps))) (-.f64 (exp.f64 (.f64 b eps)) #s(literal 1 binary64)))) (.f64 a (-.f64 (.f64 #s(literal 1/6 binary64) (/.f64 (.f64 (pow.f64 eps #s(literal 3 binary64)) (exp.f64 (.f64 b eps))) (-.f64 (exp.f64 (.f64 b eps)) #s(literal 1 binary64)))) (+.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 3 binary64))) (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (/.f64 (.f64 eps (exp.f64 (.f64 b eps))) (-.f64 (exp.f64 (.f64 b eps)) #s(literal 1 binary64))) (.f64 #s(literal 1/2 binary64) eps)))) (.f64 #s(literal 1/2 binary64) (.f64 eps (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (.f64 b eps))) (-.f64 (exp.f64 (.f64 b eps)) #s(literal 1 binary64)))) (+.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 eps (-.f64 (/.f64 (.f64 eps (exp.f64 (.f64 b eps))) (-.f64 (exp.f64 (.f64 b eps)) #s(literal 1 binary64))) (.f64 #s(literal 1/2 binary64) eps))))))))))))) (+.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 eps (-.f64 (/.f64 (.f64 eps (exp.f64 (.f64 b eps))) (-.f64 (exp.f64 (.f64 b eps)) #s(literal 1 binary64))) (.f64 #s(literal 1/2 binary64) eps))))))) (/.f64 (.f64 eps (exp.f64 (.f64 b eps))) (-.f64 (exp.f64 (.f64 b eps)) #s(literal 1 binary64)))) (.f64 #s(literal 1/2 binary64) eps)))) a)>
#<alt (/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))>
#<alt (/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))>
#<alt (/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))>
#<alt (/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))>
#<alt (/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 eps (-.f64 b (.f64 #s(literal -1 binary64) a)))) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (.f64 b eps)) #s(literal 1 binary64))))>
#<alt (/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 eps (-.f64 b (.f64 #s(literal -1 binary64) a)))) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (.f64 b eps)) #s(literal 1 binary64))))>
#<alt (/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 eps (-.f64 b (.f64 #s(literal -1 binary64) a)))) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (.f64 b eps)) #s(literal 1 binary64))))>
#<alt (/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 eps (-.f64 b (.f64 #s(literal -1 binary64) a)))) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (.f64 b eps)) #s(literal 1 binary64))))>
#<alt (/.f64 #s(literal 1 binary64) b)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (.f64 b (-.f64 (/.f64 (.f64 eps (exp.f64 (.f64 a eps))) (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) eps)))) b)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (.f64 b (-.f64 (+.f64 (.f64 b (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (.f64 a eps))) (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)))) (+.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 eps (-.f64 (/.f64 (.f64 eps (exp.f64 (.f64 a eps))) (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64))) (.f64 #s(literal 1/2 binary64) eps))))))) (/.f64 (.f64 eps (exp.f64 (.f64 a eps))) (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)))) (*.f64 #s(literal 1/2 binary64) eps)))) b)>
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#<alt (+.f64 #s(literal 1 binary64) (+.f64 (.f64 eps (-.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a)) (.f64 eps (-.f64 (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 3 binary64)) a)) (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 a (+.f64 a b))) (.f64 #s(literal 1/2 binary64) (.f64 a (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a)) (.f64 #s(literal 1/2 binary64) (+.f64 a b))))))))) (*.f64 #s(literal 1/2 binary64) (+.f64 a b)))) (/.f64 b a)))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (.f64 eps (-.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a)) (.f64 eps (-.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 3 binary64)) a)) (.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 4 binary64)) a)) (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 a b))) (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 a #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a)) (.f64 #s(literal 1/2 binary64) (+.f64 a b))))) (.f64 #s(literal 1/2 binary64) (.f64 a (-.f64 (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 3 binary64)) a)) (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 a (+.f64 a b))) (.f64 #s(literal 1/2 binary64) (.f64 a (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a)) (.f64 #s(literal 1/2 binary64) (+.f64 a b)))))))))))))) (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 a (+.f64 a b))) (.f64 #s(literal 1/2 binary64) (.f64 a (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a)) (.f64 #s(literal 1/2 binary64) (+.f64 a b))))))))) (.f64 #s(literal 1/2 binary64) (+.f64 a b)))) (/.f64 b a)))>
#<alt (/.f64 (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) #s(literal 1 binary64)) (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)))>
#<alt (/.f64 (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) #s(literal 1 binary64)) (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)))>
#<alt (/.f64 (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) #s(literal 1 binary64)) (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)))>
#<alt (/.f64 (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) #s(literal 1 binary64)) (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)))>
#<alt (/.f64 (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) #s(literal 1 binary64)) (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)))>
#<alt (/.f64 (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) #s(literal 1 binary64)) (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)))>
#<alt (/.f64 (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) #s(literal 1 binary64)) (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)))>
#<alt (/.f64 (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) #s(literal 1 binary64)) (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)))>
#<alt (/.f64 (-.f64 (exp.f64 (.f64 b eps)) #s(literal 1 binary64)) (.f64 a eps))>
#<alt (/.f64 (-.f64 (+.f64 (.f64 a (-.f64 (exp.f64 (.f64 b eps)) (.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (.f64 b eps)) #s(literal 1 binary64))))) (/.f64 (exp.f64 (*.f64 b eps)) eps)) (/.f64 #s(literal 1 binary64) eps)) a)>
#<alt (/.f64 (-.f64 (+.f64 (.f64 a (-.f64 (+.f64 (exp.f64 (.f64 b eps)) (.f64 a (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 eps (exp.f64 (.f64 b eps)))) (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps (-.f64 (exp.f64 (.f64 b eps)) #s(literal 1 binary64)))) (.f64 #s(literal 1/2 binary64) (.f64 eps (-.f64 (exp.f64 (.f64 b eps)) (.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (.f64 b eps)) #s(literal 1 binary64)))))))))) (.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (.f64 b eps)) #s(literal 1 binary64))))) (/.f64 (exp.f64 (*.f64 b eps)) eps)) (/.f64 #s(literal 1 binary64) eps)) a)>
#<alt (/.f64 (-.f64 (+.f64 (.f64 a (-.f64 (+.f64 (exp.f64 (.f64 b eps)) (.f64 a (-.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 eps (exp.f64 (.f64 b eps)))) (.f64 a (-.f64 (.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (.f64 b eps)))) (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (exp.f64 (.f64 b eps)) #s(literal 1 binary64)))) (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (exp.f64 (.f64 b eps)) (.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (.f64 b eps)) #s(literal 1 binary64)))))) (.f64 #s(literal 1/2 binary64) (.f64 eps (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 eps (exp.f64 (.f64 b eps)))) (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps (-.f64 (exp.f64 (.f64 b eps)) #s(literal 1 binary64)))) (.f64 #s(literal 1/2 binary64) (.f64 eps (-.f64 (exp.f64 (.f64 b eps)) (.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (.f64 b eps)) #s(literal 1 binary64))))))))))))))) (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps (-.f64 (exp.f64 (.f64 b eps)) #s(literal 1 binary64)))) (.f64 #s(literal 1/2 binary64) (.f64 eps (-.f64 (exp.f64 (.f64 b eps)) (.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (.f64 b eps)) #s(literal 1 binary64)))))))))) (.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (.f64 b eps)) #s(literal 1 binary64))))) (/.f64 (exp.f64 (.f64 b eps)) eps)) (/.f64 #s(literal 1 binary64) eps)) a)>
#<alt (/.f64 (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) #s(literal 1 binary64)) (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)))>
#<alt (/.f64 (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) #s(literal 1 binary64)) (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)))>
#<alt (/.f64 (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) #s(literal 1 binary64)) (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)))>
#<alt (/.f64 (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) #s(literal 1 binary64)) (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)))>
#<alt (/.f64 (-.f64 (exp.f64 (.f64 eps (-.f64 b (.f64 #s(literal -1 binary64) a)))) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)))>
#<alt (/.f64 (-.f64 (exp.f64 (.f64 eps (-.f64 b (.f64 #s(literal -1 binary64) a)))) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)))>
#<alt (/.f64 (-.f64 (exp.f64 (.f64 eps (-.f64 b (.f64 #s(literal -1 binary64) a)))) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)))>
#<alt (/.f64 (-.f64 (exp.f64 (.f64 eps (-.f64 b (.f64 #s(literal -1 binary64) a)))) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (/.f64 (.f64 b (.f64 eps (exp.f64 (.f64 a eps)))) (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 b (.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (.f64 a eps)))) (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)))) (/.f64 (.f64 eps (exp.f64 (.f64 a eps))) (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 (.f64 b (+.f64 (.f64 #s(literal 1/6 binary64) (/.f64 (.f64 b (.f64 (pow.f64 eps #s(literal 3 binary64)) (exp.f64 (.f64 a eps)))) (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (.f64 a eps))) (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)))))) (/.f64 (.f64 eps (exp.f64 (.f64 a eps))) (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64))))))>
#<alt (/.f64 (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) #s(literal 1 binary64)) (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)))>
#<alt (/.f64 (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) #s(literal 1 binary64)) (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)))>
#<alt (/.f64 (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) #s(literal 1 binary64)) (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)))>
#<alt (/.f64 (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) #s(literal 1 binary64)) (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)))>
#<alt (/.f64 (-.f64 (exp.f64 (.f64 eps (-.f64 a (.f64 #s(literal -1 binary64) b)))) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)))>
#<alt (/.f64 (-.f64 (exp.f64 (.f64 eps (-.f64 a (.f64 #s(literal -1 binary64) b)))) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)))>
#<alt (/.f64 (-.f64 (exp.f64 (.f64 eps (-.f64 a (.f64 #s(literal -1 binary64) b)))) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)))>
#<alt (/.f64 (-.f64 (exp.f64 (.f64 eps (-.f64 a (.f64 #s(literal -1 binary64) b)))) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)))>

Calls

87 calls:

Time	Variable		Point	Expression
6.0ms	eps	@	inf	(* (- (exp (* eps (+ a b))) 1) (/ eps (* (- (exp (* eps a)) 1) (- (exp (* eps b)) 1))))
5.0ms	a	@	0	(/ eps (* (- (exp (* eps a)) 1) (- (exp (* eps b)) 1)))
5.0ms	eps	@	0	(* (- (exp (* eps (+ a b))) 1) (/ eps (* (- (exp (* eps a)) 1) (- (exp (* eps b)) 1))))
3.0ms	eps	@	0	(/ eps (- (exp (* eps b)) 1))
3.0ms	a	@	inf	(* (- (exp (* eps (+ a b))) 1) (/ eps (* (- (exp (* eps a)) 1) (- (exp (* eps b)) 1))))

rewrite357.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

925×	`prod-diff`
634×	`log1p-expm1-u`
178×	`associate-r`
162×	`expm1-log1p-u`
160×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	410
1	357	410
2	5233	410

Stop Event

1×	node limit

Counts

11 → 367

Calls

Call 1

Inputs
(.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (/.f64 eps (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))))
(expm1.f64 (*.f64 eps (+.f64 a b)))
(*.f64 eps (+.f64 a b))
(+.f64 a b)
(.f64 (/.f64 eps (expm1.f64 (.f64 eps b))) (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps a))))
(/.f64 eps (expm1.f64 (*.f64 eps b)))
(expm1.f64 (*.f64 eps b))
(*.f64 eps b)
(/.f64 eps (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b))))
(.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))
(/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps a)))

Outputs
(-.f64 (exp.f64 (log1p.f64 (.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (/.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (expm1.f64 (.f64 eps b)))))) #s(literal 1 binary64))
(/.f64 eps (.f64 (expm1.f64 (.f64 eps b)) (/.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps (+.f64 a b))))))
(/.f64 eps (.f64 (/.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps (+.f64 a b)))) (expm1.f64 (.f64 eps b))))
(/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (expm1.f64 (.f64 eps a)) (/.f64 (expm1.f64 (.f64 eps b)) eps)))
(/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (.f64 (/.f64 (expm1.f64 (.f64 eps b)) eps) (expm1.f64 (.f64 eps a))))
(/.f64 (/.f64 eps (expm1.f64 (.f64 eps b))) (/.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps (+.f64 a b)))))
(/.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps a))) (/.f64 (expm1.f64 (*.f64 eps b)) eps))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 (expm1.f64 (.f64 eps b)) eps) (/.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps (+.f64 a b))))))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps (+.f64 a b)))) (/.f64 (expm1.f64 (.f64 eps b)) eps)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))) (.f64 eps (expm1.f64 (*.f64 eps (+.f64 a b))))))
(/.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 (.f64 eps a)) (.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (/.f64 eps (expm1.f64 (.f64 eps b))))))
(/.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 (.f64 eps b)) (.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps a))))))
(/.f64 (.f64 eps (expm1.f64 (.f64 eps (+.f64 a b)))) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b))))
(/.f64 (neg.f64 eps) (.f64 (/.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps (+.f64 a b)))) (neg.f64 (expm1.f64 (.f64 eps b)))))
(/.f64 (neg.f64 (expm1.f64 (.f64 eps (+.f64 a b)))) (.f64 (/.f64 (expm1.f64 (.f64 eps b)) eps) (neg.f64 (expm1.f64 (.f64 eps a)))))
(/.f64 (.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (/.f64 eps (expm1.f64 (.f64 eps b)))) (expm1.f64 (.f64 eps a)))
(/.f64 (.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps a)))) (expm1.f64 (.f64 eps b)))
(/.f64 (.f64 (neg.f64 eps) #s(literal 1 binary64)) (.f64 (neg.f64 (expm1.f64 (.f64 eps b))) (/.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps (+.f64 a b))))))
(/.f64 (.f64 eps (neg.f64 (expm1.f64 (.f64 eps (+.f64 a b))))) (.f64 (expm1.f64 (.f64 eps b)) (neg.f64 (expm1.f64 (*.f64 eps a)))))
(/.f64 (.f64 (neg.f64 eps) (expm1.f64 (.f64 eps (+.f64 a b)))) (.f64 (expm1.f64 (.f64 eps b)) (neg.f64 (expm1.f64 (*.f64 eps a)))))
(/.f64 (.f64 (neg.f64 eps) (neg.f64 (expm1.f64 (.f64 eps (+.f64 a b))))) (.f64 (neg.f64 (expm1.f64 (.f64 eps b))) (neg.f64 (expm1.f64 (*.f64 eps a)))))
(/.f64 (.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (neg.f64 eps)) (.f64 (expm1.f64 (.f64 eps b)) (neg.f64 (expm1.f64 (*.f64 eps a)))))
(/.f64 (.f64 (neg.f64 (expm1.f64 (.f64 eps (+.f64 a b)))) eps) (.f64 (expm1.f64 (.f64 eps b)) (neg.f64 (expm1.f64 (*.f64 eps a)))))
(/.f64 (.f64 (neg.f64 (expm1.f64 (.f64 eps (+.f64 a b)))) #s(literal 1 binary64)) (.f64 (neg.f64 (expm1.f64 (.f64 eps a))) (/.f64 (expm1.f64 (*.f64 eps b)) eps)))
(/.f64 (.f64 (neg.f64 (expm1.f64 (.f64 eps (+.f64 a b)))) (neg.f64 eps)) (.f64 (neg.f64 (expm1.f64 (.f64 eps a))) (neg.f64 (expm1.f64 (*.f64 eps b)))))
(/.f64 (neg.f64 (.f64 eps (expm1.f64 (.f64 eps (+.f64 a b))))) (.f64 (expm1.f64 (.f64 eps b)) (neg.f64 (expm1.f64 (*.f64 eps a)))))
(/.f64 (neg.f64 (.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (/.f64 eps (expm1.f64 (.f64 eps b))))) (neg.f64 (expm1.f64 (.f64 eps a))))
(/.f64 (neg.f64 (.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps a))))) (neg.f64 (expm1.f64 (.f64 eps b))))
(/.f64 (.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (/.f64 eps (expm1.f64 (.f64 eps a)))) (expm1.f64 (.f64 eps b)))
(/.f64 (.f64 (/.f64 eps (expm1.f64 (.f64 eps b))) (neg.f64 (expm1.f64 (.f64 eps (+.f64 a b))))) (neg.f64 (expm1.f64 (.f64 eps a))))
(/.f64 (.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps a))) (neg.f64 eps)) (neg.f64 (expm1.f64 (.f64 eps b))))
(/.f64 (.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (expm1.f64 (.f64 eps (+.f64 a b)))) (expm1.f64 (.f64 eps b)))
(/.f64 (.f64 (neg.f64 eps) (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps a)))) (neg.f64 (expm1.f64 (.f64 eps b))))
(/.f64 (.f64 (neg.f64 (expm1.f64 (.f64 eps (+.f64 a b)))) (/.f64 eps (expm1.f64 (.f64 eps b)))) (neg.f64 (expm1.f64 (.f64 eps a))))
(/.f64 (/.f64 (.f64 eps (expm1.f64 (.f64 eps (+.f64 a b)))) #s(literal 1 binary64)) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b))))
(/.f64 (/.f64 (.f64 eps (expm1.f64 (.f64 eps (+.f64 a b)))) (pow.f64 (cbrt.f64 (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b)))) #s(literal 2 binary64))) (cbrt.f64 (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b)))))
(/.f64 (/.f64 (.f64 eps (expm1.f64 (.f64 eps (+.f64 a b)))) (sqrt.f64 (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b))))) (sqrt.f64 (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b)))))
(/.f64 (/.f64 (.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (/.f64 eps (expm1.f64 (.f64 eps b)))) #s(literal 1 binary64)) (expm1.f64 (.f64 eps a)))
(/.f64 (/.f64 (.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (/.f64 eps (expm1.f64 (.f64 eps b)))) (pow.f64 (cbrt.f64 (expm1.f64 (.f64 eps a))) #s(literal 2 binary64))) (cbrt.f64 (expm1.f64 (*.f64 eps a))))
(/.f64 (/.f64 (.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (/.f64 eps (expm1.f64 (.f64 eps b)))) (sqrt.f64 (expm1.f64 (.f64 eps a)))) (sqrt.f64 (expm1.f64 (*.f64 eps a))))
(/.f64 (/.f64 (.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps a)))) #s(literal 1 binary64)) (expm1.f64 (.f64 eps b)))
(/.f64 (/.f64 (.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps a)))) (pow.f64 (cbrt.f64 (expm1.f64 (.f64 eps b))) #s(literal 2 binary64))) (cbrt.f64 (expm1.f64 (*.f64 eps b))))
(/.f64 (/.f64 (.f64 eps (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps a)))) (sqrt.f64 (expm1.f64 (.f64 eps b)))) (sqrt.f64 (expm1.f64 (*.f64 eps b))))
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(pow.f64 (pow.f64 (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (expm1.f64 (.f64 eps a))) (expm1.f64 (.f64 eps b))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b))))))
(cbrt.f64 (pow.f64 (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b))) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 (expm1.f64 (.f64 eps a)) #s(literal 3 binary64)) (pow.f64 (expm1.f64 (*.f64 eps b)) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (expm1.f64 (.f64 eps b)) #s(literal 3 binary64)) (pow.f64 (expm1.f64 (*.f64 eps a)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))))
(log1p.f64 (expm1.f64 (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))))
(exp.f64 (log.f64 (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))))
(exp.f64 (.f64 (log.f64 (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps a))))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (exp.f64 eps) (+.f64 a b)) (expm1.f64 (.f64 eps a))) (/.f64 #s(literal 1 binary64) (expm1.f64 (.f64 eps a))))
(.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps a))))
(.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (*.f64 eps a))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (*.f64 eps a))))
(.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 eps (+.f64 a b)))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (expm1.f64 (.f64 eps (+.f64 a b)))) (expm1.f64 (.f64 eps a))))
(.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 eps (+.f64 a b)))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (expm1.f64 (.f64 eps (+.f64 a b)))) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps a)))))
(.f64 (cbrt.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps a)))) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (*.f64 eps a)))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps a)))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (*.f64 eps a)))))
(.f64 (sqrt.f64 (expm1.f64 (.f64 eps (+.f64 a b)))) (/.f64 (sqrt.f64 (expm1.f64 (.f64 eps (+.f64 a b)))) (expm1.f64 (.f64 eps a))))
(.f64 (sqrt.f64 (expm1.f64 (.f64 eps (+.f64 a b)))) (.f64 (sqrt.f64 (expm1.f64 (.f64 eps (+.f64 a b)))) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps a)))))
(.f64 (sqrt.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps a)))) (sqrt.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (*.f64 eps a)))))
(.f64 (neg.f64 (expm1.f64 (.f64 eps (+.f64 a b)))) (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 (*.f64 eps a)))))
(.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (.f64 eps a))) (expm1.f64 (*.f64 eps (+.f64 a b))))
(.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (expm1.f64 (.f64 eps a))) #s(literal 2 binary64))) (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (cbrt.f64 (expm1.f64 (.f64 eps a)))))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (expm1.f64 (.f64 eps a)))) (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (sqrt.f64 (expm1.f64 (.f64 eps a)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 eps (+.f64 a b)))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (expm1.f64 (.f64 eps (+.f64 a b)))) (expm1.f64 (.f64 eps a))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 eps (+.f64 a b)))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (expm1.f64 (.f64 eps a))) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (*.f64 eps a)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 eps (+.f64 a b)))) #s(literal 2 binary64)) (sqrt.f64 (expm1.f64 (.f64 eps a)))) (/.f64 (cbrt.f64 (expm1.f64 (.f64 eps (+.f64 a b)))) (sqrt.f64 (expm1.f64 (*.f64 eps a)))))
(.f64 (/.f64 (sqrt.f64 (expm1.f64 (.f64 eps (+.f64 a b)))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (expm1.f64 (.f64 eps (+.f64 a b)))) (expm1.f64 (.f64 eps a))))
(.f64 (/.f64 (sqrt.f64 (expm1.f64 (.f64 eps (+.f64 a b)))) (pow.f64 (cbrt.f64 (expm1.f64 (.f64 eps a))) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (expm1.f64 (.f64 eps (+.f64 a b)))) (cbrt.f64 (expm1.f64 (*.f64 eps a)))))
(pow.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps a))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps a)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps a))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps a)))) #s(literal 2 binary64))
(pow.f64 (/.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps (+.f64 a b)))) #s(literal -1 binary64))
(neg.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (neg.f64 (expm1.f64 (.f64 eps a)))))
(neg.f64 (/.f64 (neg.f64 (expm1.f64 (.f64 eps (+.f64 a b)))) (expm1.f64 (.f64 eps a))))
(sqrt.f64 (pow.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps a))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps a)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps a))))))
(cbrt.f64 (pow.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps a))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (expm1.f64 (.f64 eps (+.f64 a b))) #s(literal 3 binary64)) (pow.f64 (expm1.f64 (.f64 eps a)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps a)))))
(log1p.f64 (expm1.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps a)))))
(exp.f64 (log.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps a)))))
(exp.f64 (.f64 (log.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (*.f64 eps a)))) #s(literal 1 binary64)))

simplify341.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

909×	`times-frac`
900×	`fma-define`
572×	`distribute-lft-in`
413×	`*-commutative`
187×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1292	44661
1	3757	43959

Stop Event

1×	node limit

Counts

697 → 609

Calls

Call 1

Inputs
(/.f64 (+.f64 a b) (*.f64 a b))
(+.f64 (.f64 eps (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (.f64 a b))) (/.f64 (.f64 (+.f64 a b) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 a (pow.f64 b #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 a #s(literal 2 binary64)) b)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(+.f64 (.f64 eps (-.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (.f64 a b))) (.f64 eps (-.f64 (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 3 binary64)) (.f64 a b))) (+.f64 (/.f64 (.f64 (+.f64 a b) (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 a (pow.f64 b #s(literal 3 binary64)))) (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) b)) (.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))))) (.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 a (pow.f64 b #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 a #s(literal 2 binary64)) b))) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (.f64 a b))) (/.f64 (.f64 (+.f64 a b) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 a (pow.f64 b #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 a #s(literal 2 binary64)) b)))) (.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))) (.f64 a b)))))) (/.f64 (.f64 (+.f64 a b) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 a (pow.f64 b #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 a #s(literal 2 binary64)) b)))) (.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(+.f64 (.f64 eps (-.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (.f64 a b))) (.f64 eps (-.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 3 binary64)) (.f64 a b))) (.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 4 binary64)) (.f64 a b))) (+.f64 (/.f64 (.f64 (+.f64 a b) (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 a (pow.f64 b #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 a #s(literal 4 binary64)) b)) (+.f64 (.f64 #s(literal 1/12 binary64) (.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 3 binary64)))) (.f64 #s(literal 1/12 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 2 binary64)))))))) (.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) (+.f64 (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 a (pow.f64 b #s(literal 3 binary64)))) (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) b)) (.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (.f64 a b))) (/.f64 (.f64 (+.f64 a b) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 a (pow.f64 b #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 a #s(literal 2 binary64)) b)))) (.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))) (.f64 a b)) (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 a (pow.f64 b #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 a #s(literal 2 binary64)) b))) (-.f64 (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 3 binary64)) (.f64 a b))) (+.f64 (/.f64 (.f64 (+.f64 a b) (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 a (pow.f64 b #s(literal 3 binary64)))) (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) b)) (.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))))) (.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 a (pow.f64 b #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 a #s(literal 2 binary64)) b))) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (.f64 a b))) (/.f64 (.f64 (+.f64 a b) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 a (pow.f64 b #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 a #s(literal 2 binary64)) b)))) (.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))) (.f64 a b))))) (.f64 a b))))))) (+.f64 (/.f64 (.f64 (+.f64 a b) (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 a (pow.f64 b #s(literal 3 binary64)))) (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) b)) (.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))))) (.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 a (pow.f64 b #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 a #s(literal 2 binary64)) b))) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (.f64 a b))) (/.f64 (.f64 (+.f64 a b) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 a (pow.f64 b #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 a #s(literal 2 binary64)) b)))) (.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))) (.f64 a b)))))) (/.f64 (.f64 (+.f64 a b) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 a (pow.f64 b #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 a #s(literal 2 binary64)) b)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) a)
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 a (-.f64 (/.f64 (.f64 eps (exp.f64 (.f64 b eps))) (-.f64 (exp.f64 (.f64 b eps)) #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) eps)))) a)
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 a (-.f64 (+.f64 (.f64 a (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (.f64 b eps))) (-.f64 (exp.f64 (.f64 b eps)) #s(literal 1 binary64)))) (+.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 eps (-.f64 (/.f64 (.f64 eps (exp.f64 (.f64 b eps))) (-.f64 (exp.f64 (.f64 b eps)) #s(literal 1 binary64))) (.f64 #s(literal 1/2 binary64) eps))))))) (/.f64 (.f64 eps (exp.f64 (.f64 b eps))) (-.f64 (exp.f64 (.f64 b eps)) #s(literal 1 binary64)))) (*.f64 #s(literal 1/2 binary64) eps)))) a)
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 a (-.f64 (+.f64 (.f64 a (-.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (.f64 b eps))) (-.f64 (exp.f64 (.f64 b eps)) #s(literal 1 binary64)))) (.f64 a (-.f64 (.f64 #s(literal 1/6 binary64) (/.f64 (.f64 (pow.f64 eps #s(literal 3 binary64)) (exp.f64 (.f64 b eps))) (-.f64 (exp.f64 (.f64 b eps)) #s(literal 1 binary64)))) (+.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 3 binary64))) (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (/.f64 (.f64 eps (exp.f64 (.f64 b eps))) (-.f64 (exp.f64 (.f64 b eps)) #s(literal 1 binary64))) (.f64 #s(literal 1/2 binary64) eps)))) (.f64 #s(literal 1/2 binary64) (.f64 eps (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (exp.f64 (.f64 b eps))) (-.f64 (exp.f64 (.f64 b eps)) #s(literal 1 binary64)))) (+.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 eps (-.f64 (/.f64 (.f64 eps (exp.f64 (.f64 b eps))) (-.f64 (exp.f64 (.f64 b eps)) #s(literal 1 binary64))) (.f64 #s(literal 1/2 binary64) eps))))))))))))) (+.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 eps (-.f64 (/.f64 (.f64 eps (exp.f64 (.f64 b eps))) (-.f64 (exp.f64 (.f64 b eps)) #s(literal 1 binary64))) (.f64 #s(literal 1/2 binary64) eps))))))) (/.f64 (.f64 eps (exp.f64 (.f64 b eps))) (-.f64 (exp.f64 (.f64 b eps)) #s(literal 1 binary64)))) (.f64 #s(literal 1/2 binary64) eps)))) a)
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 eps (+.f64 a b))) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))
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b
a
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a
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a
b
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b
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(pow.f64 (pow.f64 (/.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (expm1.f64 (.f64 eps b))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (expm1.f64 (.f64 eps b)))) #s(literal 2 binary64))
(pow.f64 (.f64 (expm1.f64 (.f64 eps a)) (/.f64 (expm1.f64 (*.f64 eps b)) eps)) #s(literal -1 binary64))
(neg.f64 (/.f64 eps (.f64 (expm1.f64 (.f64 eps b)) (neg.f64 (expm1.f64 (*.f64 eps a))))))
(neg.f64 (/.f64 (neg.f64 eps) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))))
(sqrt.f64 (pow.f64 (/.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (expm1.f64 (.f64 eps b))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (expm1.f64 (.f64 eps b)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (expm1.f64 (.f64 eps b))))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (expm1.f64 (.f64 eps b))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (expm1.f64 (.f64 eps b)))))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (expm1.f64 (.f64 eps b)))))
(exp.f64 (log.f64 (/.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (expm1.f64 (.f64 eps b)))))
(exp.f64 (.f64 (log.f64 (/.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (expm1.f64 (*.f64 eps b)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b))))) #s(literal 1 binary64))
(pow.f64 (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (expm1.f64 (.f64 eps a))) (expm1.f64 (.f64 eps b))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b))))))
(cbrt.f64 (pow.f64 (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b))) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 (expm1.f64 (.f64 eps a)) #s(literal 3 binary64)) (pow.f64 (expm1.f64 (*.f64 eps b)) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (expm1.f64 (.f64 eps b)) #s(literal 3 binary64)) (pow.f64 (expm1.f64 (*.f64 eps a)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))))
(log1p.f64 (expm1.f64 (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))))
(exp.f64 (log.f64 (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))))
(exp.f64 (.f64 (log.f64 (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps b)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps a))))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (exp.f64 eps) (+.f64 a b)) (expm1.f64 (.f64 eps a))) (/.f64 #s(literal 1 binary64) (expm1.f64 (.f64 eps a))))
(.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps a))))
(.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (*.f64 eps a))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (*.f64 eps a))))
(.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 eps (+.f64 a b)))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (expm1.f64 (.f64 eps (+.f64 a b)))) (expm1.f64 (.f64 eps a))))
(.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 eps (+.f64 a b)))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (expm1.f64 (.f64 eps (+.f64 a b)))) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps a)))))
(.f64 (cbrt.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps a)))) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (*.f64 eps a)))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps a)))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (*.f64 eps a)))))
(.f64 (sqrt.f64 (expm1.f64 (.f64 eps (+.f64 a b)))) (/.f64 (sqrt.f64 (expm1.f64 (.f64 eps (+.f64 a b)))) (expm1.f64 (.f64 eps a))))
(.f64 (sqrt.f64 (expm1.f64 (.f64 eps (+.f64 a b)))) (.f64 (sqrt.f64 (expm1.f64 (.f64 eps (+.f64 a b)))) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps a)))))
(.f64 (sqrt.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps a)))) (sqrt.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (*.f64 eps a)))))
(.f64 (neg.f64 (expm1.f64 (.f64 eps (+.f64 a b)))) (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 (*.f64 eps a)))))
(.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (.f64 eps a))) (expm1.f64 (*.f64 eps (+.f64 a b))))
(.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (expm1.f64 (.f64 eps a))) #s(literal 2 binary64))) (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (cbrt.f64 (expm1.f64 (.f64 eps a)))))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (expm1.f64 (.f64 eps a)))) (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (sqrt.f64 (expm1.f64 (.f64 eps a)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 eps (+.f64 a b)))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (expm1.f64 (.f64 eps (+.f64 a b)))) (expm1.f64 (.f64 eps a))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 eps (+.f64 a b)))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (expm1.f64 (.f64 eps a))) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (*.f64 eps a)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 eps (+.f64 a b)))) #s(literal 2 binary64)) (sqrt.f64 (expm1.f64 (.f64 eps a)))) (/.f64 (cbrt.f64 (expm1.f64 (.f64 eps (+.f64 a b)))) (sqrt.f64 (expm1.f64 (*.f64 eps a)))))
(.f64 (/.f64 (sqrt.f64 (expm1.f64 (.f64 eps (+.f64 a b)))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (expm1.f64 (.f64 eps (+.f64 a b)))) (expm1.f64 (.f64 eps a))))
(.f64 (/.f64 (sqrt.f64 (expm1.f64 (.f64 eps (+.f64 a b)))) (pow.f64 (cbrt.f64 (expm1.f64 (.f64 eps a))) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (expm1.f64 (.f64 eps (+.f64 a b)))) (cbrt.f64 (expm1.f64 (*.f64 eps a)))))
(pow.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps a))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps a)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps a))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps a)))) #s(literal 2 binary64))
(pow.f64 (/.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps (+.f64 a b)))) #s(literal -1 binary64))
(neg.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (neg.f64 (expm1.f64 (.f64 eps a)))))
(neg.f64 (/.f64 (neg.f64 (expm1.f64 (.f64 eps (+.f64 a b)))) (expm1.f64 (.f64 eps a))))
(sqrt.f64 (pow.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps a))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps a)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps a))))))
(cbrt.f64 (pow.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps a))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (expm1.f64 (.f64 eps (+.f64 a b))) #s(literal 3 binary64)) (pow.f64 (expm1.f64 (.f64 eps a)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps a)))))
(log1p.f64 (expm1.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps a)))))
(exp.f64 (log.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps a)))))
(exp.f64 (.f64 (log.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (*.f64 eps a)))) #s(literal 1 binary64)))

Outputs
(/.f64 (+.f64 a b) (*.f64 a b))
(+.f64 (.f64 eps (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (.f64 a b))) (/.f64 (.f64 (+.f64 a b) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 a (pow.f64 b #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 a #s(literal 2 binary64)) b)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(fma.f64 eps (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (.f64 a b))) (.f64 (+.f64 a b) (/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 a (pow.f64 b #s(literal 2 binary64))) (.f64 b (pow.f64 a #s(literal 2 binary64))))) (*.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(+.f64 (fma.f64 eps (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (.f64 a b))) (.f64 (+.f64 a b) (.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 b #s(literal 2 binary64))) (/.f64 (fma.f64 a (pow.f64 b #s(literal 2 binary64)) (*.f64 b (pow.f64 a #s(literal 2 binary64)))) (pow.f64 a #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) a)) (/.f64 #s(literal 1 binary64) b))
(+.f64 (.f64 eps (-.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (.f64 a b))) (.f64 eps (-.f64 (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 3 binary64)) (.f64 a b))) (+.f64 (/.f64 (.f64 (+.f64 a b) (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 a (pow.f64 b #s(literal 3 binary64)))) (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) b)) (.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))))) (.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 a (pow.f64 b #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 a #s(literal 2 binary64)) b))) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (.f64 a b))) (/.f64 (.f64 (+.f64 a b) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 a (pow.f64 b #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 a #s(literal 2 binary64)) b)))) (.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))) (.f64 a b)))))) (/.f64 (.f64 (+.f64 a b) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 a (pow.f64 b #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 a #s(literal 2 binary64)) b)))) (.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
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b
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a
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(pow.f64 (/.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (expm1.f64 (.f64 eps b))) #s(literal 1 binary64))
(/.f64 (/.f64 eps (expm1.f64 (.f64 b eps))) (expm1.f64 (.f64 a eps)))
(pow.f64 (cbrt.f64 (/.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (expm1.f64 (.f64 eps b)))) #s(literal 3 binary64))
(/.f64 (/.f64 eps (expm1.f64 (.f64 b eps))) (expm1.f64 (.f64 a eps)))
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(pow.f64 (sqrt.f64 (/.f64 (/.f64 eps (expm1.f64 (.f64 eps a))) (expm1.f64 (.f64 eps b)))) #s(literal 2 binary64))
(/.f64 (/.f64 eps (expm1.f64 (.f64 b eps))) (expm1.f64 (.f64 a eps)))
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(/.f64 #s(literal 1 binary64) (.f64 (expm1.f64 (.f64 a eps)) (/.f64 (expm1.f64 (*.f64 b eps)) eps)))
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(/.f64 (/.f64 eps (expm1.f64 (.f64 b eps))) (expm1.f64 (.f64 a eps)))
(neg.f64 (/.f64 (neg.f64 eps) (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))))
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(/.f64 (/.f64 eps (expm1.f64 (.f64 b eps))) (expm1.f64 (.f64 a eps)))
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(/.f64 (/.f64 eps (expm1.f64 (.f64 b eps))) (expm1.f64 (.f64 a eps)))
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(/.f64 (/.f64 eps (expm1.f64 (.f64 b eps))) (expm1.f64 (.f64 a eps)))
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(.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (*.f64 b eps)))
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(.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (*.f64 b eps)))
(expm1.f64 (log1p.f64 (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))))
(expm1.f64 (log1p.f64 (.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (*.f64 b eps)))))
(log1p.f64 (expm1.f64 (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))))
(.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (*.f64 b eps)))
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(.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (*.f64 b eps)))
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(.f64 (expm1.f64 (.f64 a eps)) (expm1.f64 (*.f64 b eps)))
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(-.f64 (/.f64 (pow.f64 (exp.f64 eps) (+.f64 a b)) (expm1.f64 (.f64 eps a))) (/.f64 #s(literal 1 binary64) (expm1.f64 (.f64 eps a))))
(/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (expm1.f64 (.f64 a eps)))
(.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps a))))
(/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (expm1.f64 (.f64 a eps)))
(.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (*.f64 eps a))) #s(literal 1 binary64))
(/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (expm1.f64 (.f64 a eps)))
(.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (*.f64 eps a))))
(/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (expm1.f64 (.f64 a eps)))
(.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 eps (+.f64 a b)))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (expm1.f64 (.f64 eps (+.f64 a b)))) (expm1.f64 (.f64 eps a))))
(/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (expm1.f64 (.f64 a eps)))
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(/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (expm1.f64 (.f64 a eps)))
(.f64 (cbrt.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps a)))) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (*.f64 eps a)))) #s(literal 2 binary64)))
(/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (expm1.f64 (.f64 a eps)))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps a)))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (*.f64 eps a)))))
(/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (expm1.f64 (.f64 a eps)))
(.f64 (sqrt.f64 (expm1.f64 (.f64 eps (+.f64 a b)))) (/.f64 (sqrt.f64 (expm1.f64 (.f64 eps (+.f64 a b)))) (expm1.f64 (.f64 eps a))))
(/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (expm1.f64 (.f64 a eps)))
(.f64 (sqrt.f64 (expm1.f64 (.f64 eps (+.f64 a b)))) (.f64 (sqrt.f64 (expm1.f64 (.f64 eps (+.f64 a b)))) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps a)))))
(/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (expm1.f64 (.f64 a eps)))
(.f64 (sqrt.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps a)))) (sqrt.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (*.f64 eps a)))))
(/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (expm1.f64 (.f64 a eps)))
(.f64 (neg.f64 (expm1.f64 (.f64 eps (+.f64 a b)))) (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 (*.f64 eps a)))))
(/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (expm1.f64 (.f64 a eps)))
(.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (.f64 eps a))) (expm1.f64 (*.f64 eps (+.f64 a b))))
(/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (expm1.f64 (.f64 a eps)))
(.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (expm1.f64 (.f64 eps a))) #s(literal 2 binary64))) (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (cbrt.f64 (expm1.f64 (.f64 eps a)))))
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(/.f64 (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (cbrt.f64 (expm1.f64 (.f64 a eps)))) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a eps))) #s(literal 2 binary64)))
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(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (expm1.f64 (.f64 a eps)))) (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (sqrt.f64 (expm1.f64 (.f64 a eps)))))
(/.f64 (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (sqrt.f64 (expm1.f64 (.f64 a eps)))) (sqrt.f64 (expm1.f64 (*.f64 a eps))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 eps (+.f64 a b)))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (expm1.f64 (.f64 eps (+.f64 a b)))) (expm1.f64 (.f64 eps a))))
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(.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 eps (+.f64 a b)))) #s(literal 2 binary64)) (sqrt.f64 (expm1.f64 (.f64 eps a)))) (/.f64 (cbrt.f64 (expm1.f64 (.f64 eps (+.f64 a b)))) (sqrt.f64 (expm1.f64 (*.f64 eps a)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 (+.f64 a b) eps))) #s(literal 2 binary64)) (sqrt.f64 (expm1.f64 (.f64 a eps)))) (/.f64 (cbrt.f64 (expm1.f64 (.f64 (+.f64 a b) eps))) (sqrt.f64 (expm1.f64 (*.f64 a eps)))))
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(.f64 (/.f64 (sqrt.f64 (expm1.f64 (.f64 eps (+.f64 a b)))) (pow.f64 (cbrt.f64 (expm1.f64 (.f64 eps a))) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (expm1.f64 (.f64 eps (+.f64 a b)))) (cbrt.f64 (expm1.f64 (*.f64 eps a)))))
(.f64 (/.f64 (sqrt.f64 (expm1.f64 (.f64 (+.f64 a b) eps))) (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a eps))) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (expm1.f64 (.f64 (+.f64 a b) eps))) (cbrt.f64 (expm1.f64 (*.f64 a eps)))))
(pow.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps a))) #s(literal 1 binary64))
(/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (expm1.f64 (.f64 a eps)))
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(/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (expm1.f64 (.f64 a eps)))
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(/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (expm1.f64 (.f64 a eps)))
(cbrt.f64 (pow.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps a))) #s(literal 3 binary64)))
(/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (expm1.f64 (.f64 a eps)))
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(/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (expm1.f64 (.f64 a eps)))
(expm1.f64 (log1p.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps a)))))
(expm1.f64 (log1p.f64 (/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (expm1.f64 (.f64 a eps)))))
(log1p.f64 (expm1.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps a)))))
(/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (expm1.f64 (.f64 a eps)))
(exp.f64 (log.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps a)))))
(/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (expm1.f64 (.f64 a eps)))
(exp.f64 (.f64 (log.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (*.f64 eps a)))) #s(literal 1 binary64)))
(/.f64 (expm1.f64 (.f64 (+.f64 a b) eps)) (expm1.f64 (.f64 a eps)))

eval215.0ms (0.5%)

Compiler: Compiled 26134 to 3506 computations (86.6% saved)

prune119.0ms (0.3%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	824	7	831
Fresh	0	0	0
Picked	2	0	2
Done	0	0	0
Total	826	7	833

Accuracy

98.5%

Counts

833 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	31.9%	(/.f64 (/.f64 eps (expm1.f64 (.f64 eps b))) (/.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps (+.f64 a b)))))
▶	64.3%	(/.f64 (+.f64 a b) (*.f64 a b))
	44.3%	(/.f64 (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 (.f64 eps (/.f64 (pow.f64 (exp.f64 a) eps) (expm1.f64 (.f64 a eps)))) (.f64 eps #s(literal -1/2 binary64))))) b)
▶	55.0%	(/.f64 #s(literal 1 binary64) b)
▶	43.8%	(/.f64 #s(literal 1 binary64) a)
▶	46.8%	(.f64 (/.f64 eps (expm1.f64 (.f64 eps b))) (/.f64 (+.f64 a b) a))
▶	46.8%	(.f64 (/.f64 eps (expm1.f64 (.f64 eps b))) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 eps (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a)) (*.f64 #s(literal 1/2 binary64) (+.f64 a b)))) (/.f64 b a))))

Compiler

Compiled 230 to 148 computations (35.7% saved)

simplify70.0ms (0.2%)

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
	cost-diff	0	(expm1.f64 (*.f64 eps b))
	cost-diff	0	(/.f64 eps (expm1.f64 (*.f64 eps b)))
✓	cost-diff	192	(-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a)) (.f64 #s(literal 1/2 binary64) (+.f64 a b)))
✓	cost-diff	192	(.f64 eps (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a)) (*.f64 #s(literal 1/2 binary64) (+.f64 a b))))
	cost-diff	0	(*.f64 eps b)
	cost-diff	0	(expm1.f64 (*.f64 eps b))
	cost-diff	0	(/.f64 eps (expm1.f64 (*.f64 eps b)))
✓	cost-diff	0	(.f64 (/.f64 eps (expm1.f64 (.f64 eps b))) (/.f64 (+.f64 a b) a))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) b)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) a)
✓	cost-diff	0	(*.f64 a b)
	cost-diff	0	(+.f64 a b)
✓	cost-diff	0	(/.f64 (+.f64 a b) (*.f64 a b))

Rules

757×	`unsub-neg`
721×	`fma-neg`
720×	`distribute-lft-in`
667×	`distribute-rgt-in`
313×	`fma-define`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	33	829
1	85	829
2	223	828
3	652	828
4	2180	808
5	6320	808

Stop Event

1×	node limit

Calls

Call 1

Inputs
(/.f64 (+.f64 a b) (*.f64 a b))
(+.f64 a b)
a
b
(*.f64 a b)
(/.f64 #s(literal 1 binary64) a)
#s(literal 1 binary64)
a
(/.f64 #s(literal 1 binary64) b)
#s(literal 1 binary64)
b
(.f64 (/.f64 eps (expm1.f64 (.f64 eps b))) (/.f64 (+.f64 a b) a))
(/.f64 eps (expm1.f64 (*.f64 eps b)))
eps
(expm1.f64 (*.f64 eps b))
(*.f64 eps b)
b
(/.f64 (+.f64 a b) a)
(+.f64 a b)
a
(.f64 (/.f64 eps (expm1.f64 (.f64 eps b))) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 eps (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a)) (*.f64 #s(literal 1/2 binary64) (+.f64 a b)))) (/.f64 b a))))
(/.f64 eps (expm1.f64 (*.f64 eps b)))
eps
(expm1.f64 (*.f64 eps b))
(*.f64 eps b)
b
(+.f64 #s(literal 1 binary64) (+.f64 (.f64 eps (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a)) (*.f64 #s(literal 1/2 binary64) (+.f64 a b)))) (/.f64 b a)))
#s(literal 1 binary64)
(+.f64 (.f64 eps (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a)) (*.f64 #s(literal 1/2 binary64) (+.f64 a b)))) (/.f64 b a))
(.f64 eps (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a)) (*.f64 #s(literal 1/2 binary64) (+.f64 a b))))
(-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a)) (.f64 #s(literal 1/2 binary64) (+.f64 a b)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a))
#s(literal 1/2 binary64)
(/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a)
(pow.f64 (+.f64 a b) #s(literal 2 binary64))
(+.f64 a b)
a
#s(literal 2 binary64)
(*.f64 #s(literal 1/2 binary64) (+.f64 a b))
(/.f64 b a)

Outputs
(/.f64 (+.f64 a b) (*.f64 a b))
(+.f64 a b)
a
b
(*.f64 a b)
(/.f64 #s(literal 1 binary64) a)
#s(literal 1 binary64)
a
(/.f64 #s(literal 1 binary64) b)
#s(literal 1 binary64)
b
(.f64 (/.f64 eps (expm1.f64 (.f64 eps b))) (/.f64 (+.f64 a b) a))
(.f64 (/.f64 eps (expm1.f64 (.f64 b eps))) (/.f64 (+.f64 a b) a))
(.f64 eps (/.f64 (/.f64 (+.f64 a b) a) (expm1.f64 (.f64 b eps))))
(.f64 (+.f64 a b) (/.f64 (/.f64 eps (expm1.f64 (.f64 b eps))) a))
(.f64 eps (/.f64 (+.f64 a b) (.f64 a (expm1.f64 (*.f64 b eps)))))
(/.f64 eps (expm1.f64 (*.f64 eps b)))
(/.f64 eps (expm1.f64 (*.f64 b eps)))
eps
(expm1.f64 (*.f64 eps b))
(expm1.f64 (*.f64 b eps))
(*.f64 eps b)
(*.f64 b eps)
b
(/.f64 (+.f64 a b) a)
(+.f64 a b)
a
(.f64 (/.f64 eps (expm1.f64 (.f64 eps b))) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 eps (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a)) (*.f64 #s(literal 1/2 binary64) (+.f64 a b)))) (/.f64 b a))))
(.f64 (/.f64 eps (expm1.f64 (.f64 b eps))) (+.f64 #s(literal 1 binary64) (fma.f64 eps (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a) (+.f64 a b))) (/.f64 b a))))
(.f64 eps (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 eps (.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a) (+.f64 a b))) (/.f64 b a))) (expm1.f64 (*.f64 b eps))))
(/.f64 (fma.f64 eps (fma.f64 (.f64 eps #s(literal 1/2 binary64)) (-.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a) (+.f64 a b)) (/.f64 b a)) eps) (expm1.f64 (.f64 b eps)))
(/.f64 (fma.f64 eps (fma.f64 eps (.f64 (+.f64 a b) (+.f64 #s(literal -1/2 binary64) (.f64 (/.f64 (+.f64 a b) a) #s(literal 1/2 binary64)))) (/.f64 b a)) eps) (expm1.f64 (*.f64 b eps)))
(/.f64 (fma.f64 eps (fma.f64 eps (.f64 (+.f64 a b) (fma.f64 (/.f64 (+.f64 a b) a) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) (/.f64 b a)) eps) (expm1.f64 (.f64 b eps)))
(/.f64 (fma.f64 eps (fma.f64 eps (.f64 (+.f64 a b) (fma.f64 (+.f64 a b) (/.f64 #s(literal 1/2 binary64) a) #s(literal -1/2 binary64))) (/.f64 b a)) eps) (expm1.f64 (.f64 b eps)))
(/.f64 eps (expm1.f64 (*.f64 eps b)))
(/.f64 eps (expm1.f64 (*.f64 b eps)))
eps
(expm1.f64 (*.f64 eps b))
(expm1.f64 (*.f64 b eps))
(*.f64 eps b)
(*.f64 b eps)
b
(+.f64 #s(literal 1 binary64) (+.f64 (.f64 eps (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a)) (*.f64 #s(literal 1/2 binary64) (+.f64 a b)))) (/.f64 b a)))
(+.f64 #s(literal 1 binary64) (fma.f64 eps (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a) (+.f64 a b))) (/.f64 b a)))
(+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 eps #s(literal 1/2 binary64)) (-.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a) (+.f64 a b)) (/.f64 b a)))
(fma.f64 eps (.f64 (+.f64 a b) (+.f64 #s(literal -1/2 binary64) (.f64 (/.f64 (+.f64 a b) a) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 b a)))
(fma.f64 eps (*.f64 (+.f64 a b) (fma.f64 (/.f64 (+.f64 a b) a) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 b a)))
(fma.f64 eps (*.f64 (+.f64 a b) (fma.f64 (+.f64 a b) (/.f64 #s(literal 1/2 binary64) a) #s(literal -1/2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 b a)))
#s(literal 1 binary64)
(+.f64 (.f64 eps (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a)) (*.f64 #s(literal 1/2 binary64) (+.f64 a b)))) (/.f64 b a))
(fma.f64 eps (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a) (+.f64 a b))) (/.f64 b a))
(fma.f64 (*.f64 eps #s(literal 1/2 binary64)) (-.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a) (+.f64 a b)) (/.f64 b a))
(fma.f64 eps (.f64 (+.f64 a b) (+.f64 #s(literal -1/2 binary64) (.f64 (/.f64 (+.f64 a b) a) #s(literal 1/2 binary64)))) (/.f64 b a))
(fma.f64 eps (*.f64 (+.f64 a b) (fma.f64 (/.f64 (+.f64 a b) a) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) (/.f64 b a))
(fma.f64 eps (*.f64 (+.f64 a b) (fma.f64 (+.f64 a b) (/.f64 #s(literal 1/2 binary64) a) #s(literal -1/2 binary64))) (/.f64 b a))
(.f64 eps (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a)) (*.f64 #s(literal 1/2 binary64) (+.f64 a b))))
(.f64 eps (.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a) (+.f64 a b))))
(.f64 (.f64 eps #s(literal 1/2 binary64)) (-.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a) (+.f64 a b)))
(.f64 (-.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a) (+.f64 a b)) (.f64 eps #s(literal 1/2 binary64)))
(.f64 eps (.f64 (+.f64 a b) (+.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (+.f64 a b) a) #s(literal 1/2 binary64)))))
(.f64 eps (.f64 (+.f64 a b) (fma.f64 (/.f64 (+.f64 a b) a) #s(literal 1/2 binary64) #s(literal -1/2 binary64))))
(.f64 eps (.f64 (+.f64 a b) (fma.f64 (+.f64 a b) (/.f64 #s(literal 1/2 binary64) a) #s(literal -1/2 binary64))))
(-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a)) (.f64 #s(literal 1/2 binary64) (+.f64 a b)))
(*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a) (+.f64 a b)))
(.f64 (+.f64 a b) (+.f64 #s(literal -1/2 binary64) (.f64 (/.f64 (+.f64 a b) a) #s(literal 1/2 binary64))))
(*.f64 (+.f64 a b) (fma.f64 (/.f64 (+.f64 a b) a) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))
(*.f64 (+.f64 a b) (fma.f64 (+.f64 a b) (/.f64 #s(literal 1/2 binary64) a) #s(literal -1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a))
(/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 a b) #s(literal 2 binary64))) a)
(*.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) a))
#s(literal 1/2 binary64)
(/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a)
(pow.f64 (+.f64 a b) #s(literal 2 binary64))
(+.f64 a b)
a
#s(literal 2 binary64)
(*.f64 #s(literal 1/2 binary64) (+.f64 a b))
(*.f64 (+.f64 a b) #s(literal 1/2 binary64))
(/.f64 b a)

localize394.0ms (0.9%)

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(.f64 (/.f64 eps (expm1.f64 (.f64 eps b))) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 eps (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a)) (*.f64 #s(literal 1/2 binary64) (+.f64 a b)))) (/.f64 b a))))
✓	accuracy	82.3%	(/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a)
✓	accuracy	51.0%	(-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a)) (.f64 #s(literal 1/2 binary64) (+.f64 a b)))
	accuracy	46.5%	(/.f64 eps (expm1.f64 (*.f64 eps b)))
	accuracy	100.0%	(expm1.f64 (*.f64 eps b))
✓	accuracy	99.9%	(/.f64 (+.f64 a b) a)
✓	accuracy	99.7%	(.f64 (/.f64 eps (expm1.f64 (.f64 eps b))) (/.f64 (+.f64 a b) a))
	accuracy	46.5%	(/.f64 eps (expm1.f64 (*.f64 eps b)))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) b)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) a)
	accuracy	100.0%	(+.f64 a b)
✓	accuracy	100.0%	(*.f64 a b)
✓	accuracy	64.3%	(/.f64 (+.f64 a b) (*.f64 a b))

Results

209.0ms	21×	2	valid
101.0ms	109×	1	valid
36.0ms	126×	0	valid

Compiler

Compiled 222 to 27 computations (87.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 291.0ms

ival-div: 247.0ms (84.8% of total)

ival-mult: 18.0ms (6.2% of total)

backward-pass: 8.0ms (2.7% of total)

ival-add: 7.0ms (2.4% of total)

ival-pow: 5.0ms (1.7% of total)

ival-expm1: 3.0ms (1% of total)

ival-sub: 2.0ms (0.7% of total)

const: 1.0ms (0.3% of total)

series61.0ms (0.1%)

Counts

10 → 189

Calls

Call 1

Inputs
#<alt (/.f64 (+.f64 a b) (*.f64 a b))>
#<alt (*.f64 a b)>
#<alt (/.f64 #s(literal 1 binary64) a)>
#<alt (/.f64 #s(literal 1 binary64) b)>
#<alt (.f64 (/.f64 eps (expm1.f64 (.f64 eps b))) (/.f64 (+.f64 a b) a))>
#<alt (.f64 eps (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a)) (*.f64 #s(literal 1/2 binary64) (+.f64 a b))))>
#<alt (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a)) (.f64 #s(literal 1/2 binary64) (+.f64 a b)))>
#<alt (/.f64 (+.f64 a b) a)>
#<alt (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a)>
#<alt (.f64 (/.f64 eps (expm1.f64 (.f64 eps b))) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 eps (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a)) (*.f64 #s(literal 1/2 binary64) (+.f64 a b)))) (/.f64 b a))))>

Outputs
#<alt (/.f64 #s(literal 1 binary64) a)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)>
#<alt (/.f64 #s(literal 1 binary64) b)>
#<alt (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))>
#<alt (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))>
#<alt (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))>
#<alt (/.f64 #s(literal 1 binary64) b)>
#<alt (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))>
#<alt (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))>
#<alt (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))>
#<alt (/.f64 #s(literal 1 binary64) b)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) b)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) b)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) b)>
#<alt (/.f64 #s(literal 1 binary64) a)>
#<alt (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))>
#<alt (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))>
#<alt (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))>
#<alt (/.f64 #s(literal 1 binary64) a)>
#<alt (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))>
#<alt (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))>
#<alt (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))>
#<alt (/.f64 (+.f64 a b) (*.f64 a b))>
#<alt (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 eps (+.f64 a b)) a)) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))>
#<alt (+.f64 (.f64 eps (-.f64 (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 b (+.f64 a b)) a)) (.f64 #s(literal 1/6 binary64) (/.f64 (.f64 b (+.f64 a b)) a))))) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 a b) a)))) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))>
#<alt (+.f64 (.f64 eps (-.f64 (.f64 eps (-.f64 (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 b (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 b (+.f64 a b)) a)) (.f64 #s(literal 1/6 binary64) (/.f64 (.f64 b (+.f64 a b)) a))))) (+.f64 (.f64 #s(literal -1/12 binary64) (/.f64 (.f64 (pow.f64 b #s(literal 2 binary64)) (+.f64 a b)) a)) (.f64 #s(literal 1/24 binary64) (/.f64 (.f64 (pow.f64 b #s(literal 2 binary64)) (+.f64 a b)) a)))))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 b (+.f64 a b)) a)) (.f64 #s(literal 1/6 binary64) (/.f64 (.f64 b (+.f64 a b)) a))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 a b) a)))) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))>
#<alt (/.f64 (.f64 eps (+.f64 a b)) (.f64 a (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))>
#<alt (/.f64 (.f64 eps (+.f64 a b)) (.f64 a (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))>
#<alt (/.f64 (.f64 eps (+.f64 a b)) (.f64 a (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))>
#<alt (/.f64 (.f64 eps (+.f64 a b)) (.f64 a (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))>
#<alt (/.f64 (.f64 eps (+.f64 a b)) (.f64 a (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))>
#<alt (/.f64 (.f64 eps (+.f64 a b)) (.f64 a (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))>
#<alt (/.f64 (.f64 eps (+.f64 a b)) (.f64 a (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))>
#<alt (/.f64 (.f64 eps (+.f64 a b)) (.f64 a (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))>
#<alt (/.f64 #s(literal 1 binary64) b)>
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#<alt (+.f64 (.f64 eps (-.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (.f64 a b))) (.f64 eps (-.f64 (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 b (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (/.f64 b a)))) (.f64 #s(literal 1/2 binary64) (.f64 b (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (.f64 a b))) (+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 b a))) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 a b) b))))))))) (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 b #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 b a)))) (.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 b #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (.f64 a b))) (+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 b a))) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 a b) b)))))))))) (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (/.f64 b a)))) (.f64 #s(literal 1/2 binary64) (.f64 b (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (.f64 a b))) (+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 b a))) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 a b) b)))))))))) (+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 b a))) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 a b) b))))) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))>
#<alt (/.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a)) (.f64 #s(literal 1/2 binary64) (+.f64 a b)))) (-.f64 (exp.f64 (.f64 b eps)) #s(literal 1 binary64)))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (.f64 a (-.f64 (exp.f64 (.f64 b eps)) #s(literal 1 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 eps (-.f64 (exp.f64 (.f64 b eps)) #s(literal 1 binary64)))) (/.f64 b (.f64 a (.f64 eps (-.f64 (exp.f64 (.f64 b eps)) #s(literal 1 binary64))))))) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 a b) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (.f64 a (-.f64 (exp.f64 (.f64 b eps)) #s(literal 1 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 eps (-.f64 (exp.f64 (.f64 b eps)) #s(literal 1 binary64)))) (/.f64 b (.f64 a (.f64 eps (-.f64 (exp.f64 (.f64 b eps)) #s(literal 1 binary64))))))) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 a b) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (.f64 a (-.f64 (exp.f64 (.f64 b eps)) #s(literal 1 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 eps (-.f64 (exp.f64 (.f64 b eps)) #s(literal 1 binary64)))) (/.f64 b (.f64 a (.f64 eps (-.f64 (exp.f64 (.f64 b eps)) #s(literal 1 binary64))))))) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 a b) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))))>
#<alt (/.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a)) (.f64 #s(literal 1/2 binary64) (+.f64 a b)))) (-.f64 (exp.f64 (.f64 b eps)) #s(literal 1 binary64)))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (.f64 a (-.f64 (exp.f64 (.f64 b eps)) #s(literal 1 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 eps (-.f64 (exp.f64 (.f64 b eps)) #s(literal 1 binary64)))) (/.f64 b (.f64 a (.f64 eps (-.f64 (exp.f64 (.f64 b eps)) #s(literal 1 binary64))))))) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 a b) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (.f64 a (-.f64 (exp.f64 (.f64 b eps)) #s(literal 1 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 eps (-.f64 (exp.f64 (.f64 b eps)) #s(literal 1 binary64)))) (/.f64 b (.f64 a (.f64 eps (-.f64 (exp.f64 (.f64 b eps)) #s(literal 1 binary64))))))) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 a b) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (.f64 a (-.f64 (exp.f64 (.f64 b eps)) #s(literal 1 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 eps (-.f64 (exp.f64 (.f64 b eps)) #s(literal 1 binary64)))) (/.f64 b (.f64 a (.f64 eps (-.f64 (exp.f64 (.f64 b eps)) #s(literal 1 binary64))))))) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 a b) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) b)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) b)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 (.f64 #s(literal -1/6 binary64) (*.f64 b (pow.f64 eps #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) a)))) b)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 (.f64 b (-.f64 (.f64 #s(literal -1 binary64) (.f64 b (+.f64 (.f64 #s(literal -1/12 binary64) (pow.f64 eps #s(literal 3 binary64))) (+.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 3 binary64))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) a)))))) (.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) a)))) b)>
#<alt (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64))) (.f64 a (-.f64 (exp.f64 (.f64 b eps)) #s(literal 1 binary64)))))>
#<alt (.f64 (pow.f64 b #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (.f64 a (-.f64 (exp.f64 (.f64 b eps)) #s(literal 1 binary64))))) (/.f64 (.f64 eps (+.f64 (.f64 #s(literal 1/2 binary64) eps) (/.f64 #s(literal 1 binary64) a))) (.f64 b (-.f64 (exp.f64 (.f64 b eps)) #s(literal 1 binary64))))))>
#<alt (.f64 (pow.f64 b #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (.f64 a (-.f64 (exp.f64 (.f64 b eps)) #s(literal 1 binary64))))) (+.f64 (/.f64 eps (.f64 (pow.f64 b #s(literal 2 binary64)) (-.f64 (exp.f64 (.f64 b eps)) #s(literal 1 binary64)))) (/.f64 (.f64 eps (+.f64 (.f64 #s(literal 1/2 binary64) eps) (/.f64 #s(literal 1 binary64) a))) (.f64 b (-.f64 (exp.f64 (.f64 b eps)) #s(literal 1 binary64)))))))>
#<alt (.f64 (pow.f64 b #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (.f64 a (-.f64 (exp.f64 (.f64 b eps)) #s(literal 1 binary64))))) (+.f64 (/.f64 eps (.f64 (pow.f64 b #s(literal 2 binary64)) (-.f64 (exp.f64 (.f64 b eps)) #s(literal 1 binary64)))) (/.f64 (.f64 eps (+.f64 (.f64 #s(literal 1/2 binary64) eps) (/.f64 #s(literal 1 binary64) a))) (.f64 b (-.f64 (exp.f64 (.f64 b eps)) #s(literal 1 binary64)))))))>
#<alt (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64))) (.f64 a (-.f64 (exp.f64 (.f64 b eps)) #s(literal 1 binary64)))))>
#<alt (.f64 (pow.f64 b #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 eps (-.f64 (.f64 #s(literal -1/2 binary64) eps) (/.f64 #s(literal 1 binary64) a))) (.f64 b (-.f64 (exp.f64 (.f64 b eps)) #s(literal 1 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (.f64 a (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))))))>
#<alt (.f64 (pow.f64 b #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 eps (.f64 b (-.f64 (exp.f64 (.f64 b eps)) #s(literal 1 binary64))))) (/.f64 (.f64 eps (-.f64 (.f64 #s(literal -1/2 binary64) eps) (/.f64 #s(literal 1 binary64) a))) (-.f64 (exp.f64 (.f64 b eps)) #s(literal 1 binary64)))) b)) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (.f64 a (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))))))>
#<alt (.f64 (pow.f64 b #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 eps (.f64 b (-.f64 (exp.f64 (.f64 b eps)) #s(literal 1 binary64))))) (/.f64 (.f64 eps (-.f64 (.f64 #s(literal -1/2 binary64) eps) (/.f64 #s(literal 1 binary64) a))) (-.f64 (exp.f64 (.f64 b eps)) #s(literal 1 binary64)))) b)) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (.f64 a (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))))))>
#<alt (/.f64 (.f64 eps (+.f64 b (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 b #s(literal 2 binary64)) eps)))) (.f64 a (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))>
#<alt (/.f64 (+.f64 (/.f64 (.f64 a (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 eps (-.f64 b (.f64 #s(literal 1/2 binary64) b)))))) (-.f64 (exp.f64 (.f64 b eps)) #s(literal 1 binary64))) (/.f64 (.f64 eps (+.f64 b (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 b #s(literal 2 binary64)) eps)))) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))) a)>
#<alt (/.f64 (+.f64 (/.f64 (.f64 a (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 eps (-.f64 b (.f64 #s(literal 1/2 binary64) b)))))) (-.f64 (exp.f64 (.f64 b eps)) #s(literal 1 binary64))) (/.f64 (.f64 eps (+.f64 b (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 b #s(literal 2 binary64)) eps)))) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))) a)>
#<alt (/.f64 (+.f64 (/.f64 (.f64 a (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 eps (-.f64 b (.f64 #s(literal 1/2 binary64) b)))))) (-.f64 (exp.f64 (.f64 b eps)) #s(literal 1 binary64))) (/.f64 (.f64 eps (+.f64 b (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 b #s(literal 2 binary64)) eps)))) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))) a)>
#<alt (/.f64 (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 eps (-.f64 b (.f64 #s(literal 1/2 binary64) b))))) (-.f64 (exp.f64 (.f64 b eps)) #s(literal 1 binary64)))>
#<alt (+.f64 (/.f64 (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 eps (-.f64 b (.f64 #s(literal 1/2 binary64) b))))) (-.f64 (exp.f64 (.f64 b eps)) #s(literal 1 binary64))) (/.f64 (.f64 eps (+.f64 b (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 b #s(literal 2 binary64)) eps)))) (.f64 a (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))))>
#<alt (+.f64 (/.f64 (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 eps (-.f64 b (.f64 #s(literal 1/2 binary64) b))))) (-.f64 (exp.f64 (.f64 b eps)) #s(literal 1 binary64))) (/.f64 (.f64 eps (+.f64 b (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 b #s(literal 2 binary64)) eps)))) (.f64 a (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))))>
#<alt (+.f64 (/.f64 (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 eps (-.f64 b (.f64 #s(literal 1/2 binary64) b))))) (-.f64 (exp.f64 (.f64 b eps)) #s(literal 1 binary64))) (/.f64 (.f64 eps (+.f64 b (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 b #s(literal 2 binary64)) eps)))) (.f64 a (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))))>
#<alt (/.f64 (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 eps (-.f64 b (.f64 #s(literal 1/2 binary64) b))))) (-.f64 (exp.f64 (.f64 b eps)) #s(literal 1 binary64)))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 eps (+.f64 (.f64 #s(literal -1 binary64) b) (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 b #s(literal 2 binary64)) eps)))) (.f64 a (-.f64 (exp.f64 (.f64 b eps)) #s(literal 1 binary64))))) (/.f64 (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 eps (-.f64 b (.f64 #s(literal 1/2 binary64) b))))) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 eps (+.f64 (.f64 #s(literal -1 binary64) b) (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 b #s(literal 2 binary64)) eps)))) (.f64 a (-.f64 (exp.f64 (.f64 b eps)) #s(literal 1 binary64))))) (/.f64 (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 eps (-.f64 b (.f64 #s(literal 1/2 binary64) b))))) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 eps (+.f64 (.f64 #s(literal -1 binary64) b) (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 b #s(literal 2 binary64)) eps)))) (.f64 a (-.f64 (exp.f64 (.f64 b eps)) #s(literal 1 binary64))))) (/.f64 (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 eps (-.f64 b (.f64 #s(literal 1/2 binary64) b))))) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))>

Calls

63 calls:

Time	Variable		Point	Expression
8.0ms	eps	@	-inf	(* (/ eps (- (exp (* eps b)) 1)) (/ (+ a b) a))
3.0ms	b	@	inf	(/ (+ a b) a)
2.0ms	eps	@	0	(* (/ eps (- (exp (* eps b)) 1)) (+ 1 (+ (* eps (- (* 1/2 (/ (pow (+ a b) 2) a)) (* 1/2 (+ a b)))) (/ b a))))
2.0ms	eps	@	0	(* eps (- (* 1/2 (/ (pow (+ a b) 2) a)) (* 1/2 (+ a b))))
2.0ms	eps	@	inf	(* (/ eps (- (exp (* eps b)) 1)) (+ 1 (+ (* eps (- (* 1/2 (/ (pow (+ a b) 2) a)) (* 1/2 (+ a b)))) (/ b a))))

rewrite135.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

269×	`log1p-expm1-u`
268×	`expm1-log1p-u`
262×	`add-cube-cbrt`
261×	`add-exp-log`
260×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	392
1	585	392

Stop Event

1×	node limit

Counts

10 → 328

Calls

Call 1

Inputs
(/.f64 (+.f64 a b) (*.f64 a b))
(*.f64 a b)
(/.f64 #s(literal 1 binary64) a)
(/.f64 #s(literal 1 binary64) b)
(.f64 (/.f64 eps (expm1.f64 (.f64 eps b))) (/.f64 (+.f64 a b) a))
(.f64 eps (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a)) (*.f64 #s(literal 1/2 binary64) (+.f64 a b))))
(-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a)) (.f64 #s(literal 1/2 binary64) (+.f64 a b)))
(/.f64 (+.f64 a b) a)
(/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a)
(.f64 (/.f64 eps (expm1.f64 (.f64 eps b))) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 eps (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a)) (*.f64 #s(literal 1/2 binary64) (+.f64 a b)))) (/.f64 b a))))

Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 a b) (*.f64 a b)))) #s(literal 1 binary64))
(.f64 (+.f64 a b) (/.f64 #s(literal 1 binary64) (.f64 a b)))
(.f64 #s(literal 1 binary64) (/.f64 (+.f64 a b) (.f64 a b)))
(*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (+.f64 a b) b))
(*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (+.f64 a b) a))
(*.f64 (/.f64 (+.f64 a b) a) (/.f64 #s(literal 1 binary64) b))
(.f64 (neg.f64 (+.f64 a b)) (/.f64 #s(literal 1 binary64) (.f64 a (neg.f64 b))))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 a b) (.f64 a b))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (+.f64 a b) (*.f64 a b))))
(*.f64 (pow.f64 b #s(literal -1/2 binary64)) (/.f64 (/.f64 (+.f64 a b) a) (sqrt.f64 b)))
(.f64 (sqrt.f64 (/.f64 (+.f64 a b) (.f64 a b))) (sqrt.f64 (/.f64 (+.f64 a b) (*.f64 a b))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 a b)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (+.f64 a b)) (.f64 a b)))
(.f64 (/.f64 (sqrt.f64 (+.f64 a b)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (+.f64 a b)) (.f64 a b)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 a b)) a) (/.f64 (sqrt.f64 (+.f64 a b)) b))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 b) #s(literal 2 binary64))) (/.f64 (/.f64 (+.f64 a b) a) (cbrt.f64 b)))
(*.f64 (/.f64 (+.f64 a b) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) a) b))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 a b)) #s(literal 2 binary64)) a) (/.f64 (cbrt.f64 (+.f64 a b)) b))
(.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (.f64 a b)) #s(literal 2 binary64))) (/.f64 (+.f64 a b) (cbrt.f64 (*.f64 a b))))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 a b))) (/.f64 (+.f64 a b) (sqrt.f64 (*.f64 a b))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 a b)) #s(literal 2 binary64)) b) (/.f64 (cbrt.f64 (+.f64 a b)) a))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 a b)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (.f64 a b)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (+.f64 a b) (*.f64 a b))))
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(/.f64 (+.f64 (pow.f64 (/.f64 eps (expm1.f64 (.f64 b eps))) #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 eps (expm1.f64 (.f64 b eps))) (fma.f64 eps (.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a) (+.f64 a b))) (/.f64 b a))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 eps (expm1.f64 (.f64 b eps))) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (/.f64 eps (expm1.f64 (.f64 b eps))) (fma.f64 eps (.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a) (+.f64 a b))) (/.f64 b a))) (.f64 (/.f64 eps (expm1.f64 (.f64 b eps))) (fma.f64 eps (.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a) (+.f64 a b))) (/.f64 b a)))) (.f64 (/.f64 eps (expm1.f64 (.f64 b eps))) (.f64 (/.f64 eps (expm1.f64 (.f64 b eps))) (fma.f64 eps (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a) (+.f64 a b))) (/.f64 b a)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 eps (expm1.f64 (.f64 b eps))) #s(literal 2 binary64)) (.f64 (.f64 (fma.f64 eps (.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a) (+.f64 a b))) (/.f64 b a)) (/.f64 eps (expm1.f64 (.f64 b eps)))) (.f64 (fma.f64 eps (.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a) (+.f64 a b))) (/.f64 b a)) (/.f64 eps (expm1.f64 (.f64 b eps)))))) (-.f64 (/.f64 eps (expm1.f64 (.f64 b eps))) (.f64 (fma.f64 eps (.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a) (+.f64 a b))) (/.f64 b a)) (/.f64 eps (expm1.f64 (.f64 b eps))))))
(/.f64 (-.f64 (pow.f64 (/.f64 eps (expm1.f64 (.f64 b eps))) #s(literal 2 binary64)) (.f64 (.f64 (/.f64 eps (expm1.f64 (.f64 b eps))) (fma.f64 eps (.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a) (+.f64 a b))) (/.f64 b a))) (.f64 (/.f64 eps (expm1.f64 (.f64 b eps))) (fma.f64 eps (.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a) (+.f64 a b))) (/.f64 b a))))) (-.f64 (/.f64 eps (expm1.f64 (.f64 b eps))) (.f64 (/.f64 eps (expm1.f64 (.f64 b eps))) (fma.f64 eps (.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a) (+.f64 a b))) (/.f64 b a)))))
(pow.f64 (.f64 (/.f64 eps (expm1.f64 (.f64 b eps))) (+.f64 #s(literal 1 binary64) (fma.f64 eps (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a) (+.f64 a b))) (/.f64 b a)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 (/.f64 eps (expm1.f64 (.f64 b eps))) (+.f64 #s(literal 1 binary64) (fma.f64 eps (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a) (+.f64 a b))) (/.f64 b a))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 (/.f64 eps (expm1.f64 (.f64 b eps))) (+.f64 #s(literal 1 binary64) (fma.f64 eps (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a) (+.f64 a b))) (/.f64 b a)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 (/.f64 eps (expm1.f64 (.f64 b eps))) (+.f64 #s(literal 1 binary64) (fma.f64 eps (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a) (+.f64 a b))) (/.f64 b a))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (.f64 (/.f64 eps (expm1.f64 (.f64 b eps))) (+.f64 #s(literal 1 binary64) (fma.f64 eps (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a) (+.f64 a b))) (/.f64 b a)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (/.f64 eps (expm1.f64 (.f64 b eps)))) (+.f64 #s(literal 1 binary64) (fma.f64 eps (.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a) (+.f64 a b))) (/.f64 b a)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (/.f64 eps (expm1.f64 (.f64 b eps))) (+.f64 #s(literal 1 binary64) (fma.f64 eps (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a) (+.f64 a b))) (/.f64 b a)))))))
(cbrt.f64 (pow.f64 (.f64 (/.f64 eps (expm1.f64 (.f64 b eps))) (+.f64 #s(literal 1 binary64) (fma.f64 eps (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a) (+.f64 a b))) (/.f64 b a)))) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 (/.f64 eps (expm1.f64 (.f64 b eps))) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (fma.f64 eps (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a) (+.f64 a b))) (/.f64 b a))) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (fma.f64 eps (.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a) (+.f64 a b))) (/.f64 b a))) #s(literal 3 binary64)) (pow.f64 (/.f64 eps (expm1.f64 (*.f64 b eps))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (.f64 (/.f64 eps (expm1.f64 (.f64 b eps))) (+.f64 #s(literal 1 binary64) (fma.f64 eps (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a) (+.f64 a b))) (/.f64 b a))))))
(log1p.f64 (expm1.f64 (.f64 (/.f64 eps (expm1.f64 (.f64 b eps))) (+.f64 #s(literal 1 binary64) (fma.f64 eps (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a) (+.f64 a b))) (/.f64 b a))))))
(exp.f64 (+.f64 (log.f64 (/.f64 eps (expm1.f64 (.f64 b eps)))) (log1p.f64 (fma.f64 eps (.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a) (+.f64 a b))) (/.f64 b a)))))
(exp.f64 (.f64 (+.f64 (log.f64 (/.f64 eps (expm1.f64 (.f64 b eps)))) (log1p.f64 (fma.f64 eps (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a) (+.f64 a b))) (/.f64 b a)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 eps (expm1.f64 (.f64 b eps))) (.f64 (fma.f64 eps (.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a) (+.f64 a b))) (/.f64 b a)) (/.f64 eps (expm1.f64 (.f64 b eps)))))
(fma.f64 eps (/.f64 #s(literal 1 binary64) (expm1.f64 (.f64 b eps))) (.f64 (fma.f64 eps (.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a) (+.f64 a b))) (/.f64 b a)) (/.f64 eps (expm1.f64 (.f64 b eps)))))
(fma.f64 (/.f64 eps (expm1.f64 (.f64 b eps))) #s(literal 1 binary64) (.f64 (/.f64 eps (expm1.f64 (.f64 b eps))) (fma.f64 eps (.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a) (+.f64 a b))) (/.f64 b a))))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 eps (expm1.f64 (.f64 b eps)))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 eps (expm1.f64 (.f64 b eps)))) (.f64 (fma.f64 eps (.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a) (+.f64 a b))) (/.f64 b a)) (/.f64 eps (expm1.f64 (*.f64 b eps)))))
(fma.f64 (sqrt.f64 (/.f64 eps (expm1.f64 (.f64 b eps)))) (sqrt.f64 (/.f64 eps (expm1.f64 (.f64 b eps)))) (.f64 (fma.f64 eps (.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a) (+.f64 a b))) (/.f64 b a)) (/.f64 eps (expm1.f64 (*.f64 b eps)))))

simplify421.0ms (1%)

Algorithm

1×	egg-herbie

Rules

599×	`fma-define`
496×	`times-frac`
409×	`distribute-lft-in`
400×	`distribute-rgt-in`
272×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1076	33116
1	3074	31404

Stop Event

1×	node limit

Counts

517 → 586

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) a)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)
(/.f64 #s(literal 1 binary64) b)
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(/.f64 #s(literal 1 binary64) b)
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(/.f64 #s(literal 1 binary64) b)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) b)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) b)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) b)
(/.f64 #s(literal 1 binary64) a)
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(/.f64 #s(literal 1 binary64) a)
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(/.f64 (+.f64 a b) (*.f64 a b))
(+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 eps (+.f64 a b)) a)) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(+.f64 (.f64 eps (-.f64 (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 b (+.f64 a b)) a)) (.f64 #s(literal 1/6 binary64) (/.f64 (.f64 b (+.f64 a b)) a))))) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 a b) a)))) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(+.f64 (.f64 eps (-.f64 (.f64 eps (-.f64 (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 b (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 b (+.f64 a b)) a)) (.f64 #s(literal 1/6 binary64) (/.f64 (.f64 b (+.f64 a b)) a))))) (+.f64 (.f64 #s(literal -1/12 binary64) (/.f64 (.f64 (pow.f64 b #s(literal 2 binary64)) (+.f64 a b)) a)) (.f64 #s(literal 1/24 binary64) (/.f64 (.f64 (pow.f64 b #s(literal 2 binary64)) (+.f64 a b)) a)))))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 b (+.f64 a b)) a)) (.f64 #s(literal 1/6 binary64) (/.f64 (.f64 b (+.f64 a b)) a))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 a b) a)))) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(/.f64 (.f64 eps (+.f64 a b)) (.f64 a (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))
(/.f64 (.f64 eps (+.f64 a b)) (.f64 a (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))
(/.f64 (.f64 eps (+.f64 a b)) (.f64 a (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))
(/.f64 (.f64 eps (+.f64 a b)) (.f64 a (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))
(/.f64 (.f64 eps (+.f64 a b)) (.f64 a (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))
(/.f64 (.f64 eps (+.f64 a b)) (.f64 a (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))
(/.f64 (.f64 eps (+.f64 a b)) (.f64 a (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))
(/.f64 (.f64 eps (+.f64 a b)) (.f64 a (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) b)
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 b (-.f64 (/.f64 #s(literal 1 binary64) a) (.f64 #s(literal 1/2 binary64) eps)))) b)
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 b (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (.f64 b (+.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 eps (-.f64 (/.f64 #s(literal 1 binary64) a) (.f64 #s(literal 1/2 binary64) eps))))))) (/.f64 #s(literal 1 binary64) a)) (.f64 #s(literal 1/2 binary64) eps)))) b)
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 b (-.f64 (+.f64 (.f64 b (-.f64 (.f64 #s(literal -1 binary64) (.f64 b (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps (+.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 eps (-.f64 (/.f64 #s(literal 1 binary64) a) (.f64 #s(literal 1/2 binary64) eps))))))) (+.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 3 binary64))) (.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) a) (.f64 #s(literal 1/2 binary64) eps)))))))) (+.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 eps (-.f64 (/.f64 #s(literal 1 binary64) a) (.f64 #s(literal 1/2 binary64) eps))))))) (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/2 binary64) eps)))) b)
(/.f64 (.f64 b eps) (.f64 a (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))
(.f64 b (+.f64 (/.f64 eps (.f64 a (-.f64 (exp.f64 (.f64 b eps)) #s(literal 1 binary64)))) (/.f64 eps (.f64 b (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))))
(.f64 b (+.f64 (/.f64 eps (.f64 a (-.f64 (exp.f64 (.f64 b eps)) #s(literal 1 binary64)))) (/.f64 eps (.f64 b (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))))
(.f64 b (+.f64 (/.f64 eps (.f64 a (-.f64 (exp.f64 (.f64 b eps)) #s(literal 1 binary64)))) (/.f64 eps (.f64 b (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))))
(/.f64 (.f64 b eps) (.f64 a (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 b (+.f64 (.f64 #s(literal -1 binary64) (/.f64 eps (.f64 a (-.f64 (exp.f64 (.f64 b eps)) #s(literal 1 binary64))))) (.f64 #s(literal -1 binary64) (/.f64 eps (.f64 b (-.f64 (exp.f64 (.f64 b eps)) #s(literal 1 binary64))))))))
(.f64 #s(literal -1 binary64) (.f64 b (+.f64 (.f64 #s(literal -1 binary64) (/.f64 eps (.f64 a (-.f64 (exp.f64 (.f64 b eps)) #s(literal 1 binary64))))) (.f64 #s(literal -1 binary64) (/.f64 eps (.f64 b (-.f64 (exp.f64 (.f64 b eps)) #s(literal 1 binary64))))))))
(.f64 #s(literal -1 binary64) (.f64 b (+.f64 (.f64 #s(literal -1 binary64) (/.f64 eps (.f64 a (-.f64 (exp.f64 (.f64 b eps)) #s(literal 1 binary64))))) (.f64 #s(literal -1 binary64) (/.f64 eps (.f64 b (-.f64 (exp.f64 (.f64 b eps)) #s(literal 1 binary64))))))))
(/.f64 (.f64 b eps) (.f64 a (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))
(/.f64 (+.f64 (/.f64 (.f64 a eps) (-.f64 (exp.f64 (.f64 b eps)) #s(literal 1 binary64))) (/.f64 (.f64 b eps) (-.f64 (exp.f64 (.f64 b eps)) #s(literal 1 binary64)))) a)
(/.f64 (+.f64 (/.f64 (.f64 a eps) (-.f64 (exp.f64 (.f64 b eps)) #s(literal 1 binary64))) (/.f64 (.f64 b eps) (-.f64 (exp.f64 (.f64 b eps)) #s(literal 1 binary64)))) a)
(/.f64 (+.f64 (/.f64 (.f64 a eps) (-.f64 (exp.f64 (.f64 b eps)) #s(literal 1 binary64))) (/.f64 (.f64 b eps) (-.f64 (exp.f64 (.f64 b eps)) #s(literal 1 binary64)))) a)
(/.f64 eps (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))
(+.f64 (/.f64 eps (-.f64 (exp.f64 (.f64 b eps)) #s(literal 1 binary64))) (/.f64 (.f64 b eps) (.f64 a (-.f64 (exp.f64 (.f64 b eps)) #s(literal 1 binary64)))))
(+.f64 (/.f64 eps (-.f64 (exp.f64 (.f64 b eps)) #s(literal 1 binary64))) (/.f64 (.f64 b eps) (.f64 a (-.f64 (exp.f64 (.f64 b eps)) #s(literal 1 binary64)))))
(+.f64 (/.f64 eps (-.f64 (exp.f64 (.f64 b eps)) #s(literal 1 binary64))) (/.f64 (.f64 b eps) (.f64 a (-.f64 (exp.f64 (.f64 b eps)) #s(literal 1 binary64)))))
(/.f64 eps (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))
(+.f64 (/.f64 eps (-.f64 (exp.f64 (.f64 b eps)) #s(literal 1 binary64))) (/.f64 (.f64 b eps) (.f64 a (-.f64 (exp.f64 (.f64 b eps)) #s(literal 1 binary64)))))
(+.f64 (/.f64 eps (-.f64 (exp.f64 (.f64 b eps)) #s(literal 1 binary64))) (/.f64 (.f64 b eps) (.f64 a (-.f64 (exp.f64 (.f64 b eps)) #s(literal 1 binary64)))))
(+.f64 (/.f64 eps (-.f64 (exp.f64 (.f64 b eps)) #s(literal 1 binary64))) (/.f64 (.f64 b eps) (.f64 a (-.f64 (exp.f64 (.f64 b eps)) #s(literal 1 binary64)))))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 b #s(literal 2 binary64)) eps) a))
(/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 b #s(literal 2 binary64)) eps)) (.f64 a (.f64 eps (-.f64 b (*.f64 #s(literal 1/2 binary64) b))))) a)
(/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 b #s(literal 2 binary64)) eps)) (.f64 a (.f64 eps (-.f64 b (*.f64 #s(literal 1/2 binary64) b))))) a)
(/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 b #s(literal 2 binary64)) eps)) (.f64 a (.f64 eps (-.f64 b (*.f64 #s(literal 1/2 binary64) b))))) a)
(.f64 eps (-.f64 b (.f64 #s(literal 1/2 binary64) b)))
(+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 b #s(literal 2 binary64)) eps) a)) (.f64 eps (-.f64 b (.f64 #s(literal 1/2 binary64) b))))
(+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 b #s(literal 2 binary64)) eps) a)) (.f64 eps (-.f64 b (.f64 #s(literal 1/2 binary64) b))))
(+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 b #s(literal 2 binary64)) eps) a)) (.f64 eps (-.f64 b (.f64 #s(literal 1/2 binary64) b))))
(.f64 eps (-.f64 b (.f64 #s(literal 1/2 binary64) b)))
(+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 b #s(literal 2 binary64)) eps) a)) (.f64 eps (-.f64 b (.f64 #s(literal 1/2 binary64) b))))
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(/.f64 (.f64 (neg.f64 eps) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 eps (.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a) (+.f64 a b))) (/.f64 b a)) #s(literal 2 binary64)))) (.f64 (neg.f64 (expm1.f64 (.f64 b eps))) (-.f64 #s(literal 1 binary64) (fma.f64 eps (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a) (+.f64 a b))) (/.f64 b a)))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 eps (.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a) (+.f64 a b))) (/.f64 b a)) #s(literal 3 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (fma.f64 eps (.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a) (+.f64 a b))) (/.f64 b a)) #s(literal 2 binary64)) (fma.f64 eps (.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a) (+.f64 a b))) (/.f64 b a)))) (/.f64 (expm1.f64 (.f64 b eps)) eps)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 eps (.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a) (+.f64 a b))) (/.f64 b a)) #s(literal 3 binary64))) eps) (.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (fma.f64 eps (.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a) (+.f64 a b))) (/.f64 b a)) #s(literal 2 binary64)) (fma.f64 eps (.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a) (+.f64 a b))) (/.f64 b a)))) (expm1.f64 (.f64 b eps))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 eps (.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a) (+.f64 a b))) (/.f64 b a)) #s(literal 3 binary64))) (neg.f64 eps)) (.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (fma.f64 eps (.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a) (+.f64 a b))) (/.f64 b a)) #s(literal 2 binary64)) (fma.f64 eps (.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a) (+.f64 a b))) (/.f64 b a)))) (neg.f64 (expm1.f64 (.f64 b eps)))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 eps (.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a) (+.f64 a b))) (/.f64 b a)) #s(literal 2 binary64))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (fma.f64 eps (.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a) (+.f64 a b))) (/.f64 b a))) (/.f64 (expm1.f64 (*.f64 b eps)) eps)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 eps (.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a) (+.f64 a b))) (/.f64 b a)) #s(literal 2 binary64))) eps) (.f64 (-.f64 #s(literal 1 binary64) (fma.f64 eps (.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a) (+.f64 a b))) (/.f64 b a))) (expm1.f64 (*.f64 b eps))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 eps (.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a) (+.f64 a b))) (/.f64 b a)) #s(literal 2 binary64))) (neg.f64 eps)) (.f64 (-.f64 #s(literal 1 binary64) (fma.f64 eps (.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a) (+.f64 a b))) (/.f64 b a))) (neg.f64 (expm1.f64 (*.f64 b eps)))))
(/.f64 (neg.f64 (.f64 eps (+.f64 #s(literal 1 binary64) (fma.f64 eps (.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a) (+.f64 a b))) (/.f64 b a))))) (neg.f64 (expm1.f64 (*.f64 b eps))))
(/.f64 (+.f64 (pow.f64 (/.f64 eps (expm1.f64 (.f64 b eps))) #s(literal 3 binary64)) (pow.f64 (.f64 (fma.f64 eps (.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a) (+.f64 a b))) (/.f64 b a)) (/.f64 eps (expm1.f64 (.f64 b eps)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 eps (expm1.f64 (.f64 b eps))) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (fma.f64 eps (.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a) (+.f64 a b))) (/.f64 b a)) (/.f64 eps (expm1.f64 (.f64 b eps)))) (.f64 (fma.f64 eps (.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a) (+.f64 a b))) (/.f64 b a)) (/.f64 eps (expm1.f64 (.f64 b eps))))) (.f64 (/.f64 eps (expm1.f64 (.f64 b eps))) (.f64 (fma.f64 eps (.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a) (+.f64 a b))) (/.f64 b a)) (/.f64 eps (expm1.f64 (*.f64 b eps))))))))
(/.f64 (+.f64 (pow.f64 (/.f64 eps (expm1.f64 (.f64 b eps))) #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 eps (expm1.f64 (.f64 b eps))) (fma.f64 eps (.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a) (+.f64 a b))) (/.f64 b a))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 eps (expm1.f64 (.f64 b eps))) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (/.f64 eps (expm1.f64 (.f64 b eps))) (fma.f64 eps (.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a) (+.f64 a b))) (/.f64 b a))) (.f64 (/.f64 eps (expm1.f64 (.f64 b eps))) (fma.f64 eps (.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a) (+.f64 a b))) (/.f64 b a)))) (.f64 (/.f64 eps (expm1.f64 (.f64 b eps))) (.f64 (/.f64 eps (expm1.f64 (.f64 b eps))) (fma.f64 eps (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a) (+.f64 a b))) (/.f64 b a)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 eps (expm1.f64 (.f64 b eps))) #s(literal 2 binary64)) (.f64 (.f64 (fma.f64 eps (.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a) (+.f64 a b))) (/.f64 b a)) (/.f64 eps (expm1.f64 (.f64 b eps)))) (.f64 (fma.f64 eps (.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a) (+.f64 a b))) (/.f64 b a)) (/.f64 eps (expm1.f64 (.f64 b eps)))))) (-.f64 (/.f64 eps (expm1.f64 (.f64 b eps))) (.f64 (fma.f64 eps (.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a) (+.f64 a b))) (/.f64 b a)) (/.f64 eps (expm1.f64 (.f64 b eps))))))
(/.f64 (-.f64 (pow.f64 (/.f64 eps (expm1.f64 (.f64 b eps))) #s(literal 2 binary64)) (.f64 (.f64 (/.f64 eps (expm1.f64 (.f64 b eps))) (fma.f64 eps (.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a) (+.f64 a b))) (/.f64 b a))) (.f64 (/.f64 eps (expm1.f64 (.f64 b eps))) (fma.f64 eps (.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a) (+.f64 a b))) (/.f64 b a))))) (-.f64 (/.f64 eps (expm1.f64 (.f64 b eps))) (.f64 (/.f64 eps (expm1.f64 (.f64 b eps))) (fma.f64 eps (.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a) (+.f64 a b))) (/.f64 b a)))))
(pow.f64 (.f64 (/.f64 eps (expm1.f64 (.f64 b eps))) (+.f64 #s(literal 1 binary64) (fma.f64 eps (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a) (+.f64 a b))) (/.f64 b a)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 (/.f64 eps (expm1.f64 (.f64 b eps))) (+.f64 #s(literal 1 binary64) (fma.f64 eps (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a) (+.f64 a b))) (/.f64 b a))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 (/.f64 eps (expm1.f64 (.f64 b eps))) (+.f64 #s(literal 1 binary64) (fma.f64 eps (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a) (+.f64 a b))) (/.f64 b a)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 (/.f64 eps (expm1.f64 (.f64 b eps))) (+.f64 #s(literal 1 binary64) (fma.f64 eps (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a) (+.f64 a b))) (/.f64 b a))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (.f64 (/.f64 eps (expm1.f64 (.f64 b eps))) (+.f64 #s(literal 1 binary64) (fma.f64 eps (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a) (+.f64 a b))) (/.f64 b a)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (/.f64 eps (expm1.f64 (.f64 b eps)))) (+.f64 #s(literal 1 binary64) (fma.f64 eps (.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a) (+.f64 a b))) (/.f64 b a)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (/.f64 eps (expm1.f64 (.f64 b eps))) (+.f64 #s(literal 1 binary64) (fma.f64 eps (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a) (+.f64 a b))) (/.f64 b a)))))))
(cbrt.f64 (pow.f64 (.f64 (/.f64 eps (expm1.f64 (.f64 b eps))) (+.f64 #s(literal 1 binary64) (fma.f64 eps (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a) (+.f64 a b))) (/.f64 b a)))) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 (/.f64 eps (expm1.f64 (.f64 b eps))) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (fma.f64 eps (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a) (+.f64 a b))) (/.f64 b a))) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (fma.f64 eps (.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a) (+.f64 a b))) (/.f64 b a))) #s(literal 3 binary64)) (pow.f64 (/.f64 eps (expm1.f64 (*.f64 b eps))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (.f64 (/.f64 eps (expm1.f64 (.f64 b eps))) (+.f64 #s(literal 1 binary64) (fma.f64 eps (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a) (+.f64 a b))) (/.f64 b a))))))
(log1p.f64 (expm1.f64 (.f64 (/.f64 eps (expm1.f64 (.f64 b eps))) (+.f64 #s(literal 1 binary64) (fma.f64 eps (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a) (+.f64 a b))) (/.f64 b a))))))
(exp.f64 (+.f64 (log.f64 (/.f64 eps (expm1.f64 (.f64 b eps)))) (log1p.f64 (fma.f64 eps (.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a) (+.f64 a b))) (/.f64 b a)))))
(exp.f64 (.f64 (+.f64 (log.f64 (/.f64 eps (expm1.f64 (.f64 b eps)))) (log1p.f64 (fma.f64 eps (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a) (+.f64 a b))) (/.f64 b a)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 eps (expm1.f64 (.f64 b eps))) (.f64 (fma.f64 eps (.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a) (+.f64 a b))) (/.f64 b a)) (/.f64 eps (expm1.f64 (.f64 b eps)))))
(fma.f64 eps (/.f64 #s(literal 1 binary64) (expm1.f64 (.f64 b eps))) (.f64 (fma.f64 eps (.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a) (+.f64 a b))) (/.f64 b a)) (/.f64 eps (expm1.f64 (.f64 b eps)))))
(fma.f64 (/.f64 eps (expm1.f64 (.f64 b eps))) #s(literal 1 binary64) (.f64 (/.f64 eps (expm1.f64 (.f64 b eps))) (fma.f64 eps (.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a) (+.f64 a b))) (/.f64 b a))))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 eps (expm1.f64 (.f64 b eps)))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 eps (expm1.f64 (.f64 b eps)))) (.f64 (fma.f64 eps (.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a) (+.f64 a b))) (/.f64 b a)) (/.f64 eps (expm1.f64 (*.f64 b eps)))))
(fma.f64 (sqrt.f64 (/.f64 eps (expm1.f64 (.f64 b eps)))) (sqrt.f64 (/.f64 eps (expm1.f64 (.f64 b eps)))) (.f64 (fma.f64 eps (.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a) (+.f64 a b))) (/.f64 b a)) (/.f64 eps (expm1.f64 (*.f64 b eps)))))

Outputs
(/.f64 #s(literal 1 binary64) a)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)
(/.f64 #s(literal 1 binary64) b)
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(/.f64 #s(literal 1 binary64) b)
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(/.f64 #s(literal 1 binary64) b)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) b)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) b)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) b)
(/.f64 #s(literal 1 binary64) a)
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(/.f64 #s(literal 1 binary64) a)
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(/.f64 (+.f64 a b) (*.f64 a b))
(+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 eps (+.f64 a b)) a)) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 eps (/.f64 (+.f64 a b) a)) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(+.f64 (.f64 eps (-.f64 (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 b (+.f64 a b)) a)) (.f64 #s(literal 1/6 binary64) (/.f64 (.f64 b (+.f64 a b)) a))))) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 a b) a)))) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(fma.f64 eps (+.f64 (.f64 (neg.f64 eps) (.f64 (.f64 b (/.f64 (+.f64 a b) a)) #s(literal -1/12 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 a b) a))) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(fma.f64 eps (+.f64 (.f64 eps (.f64 (.f64 b (/.f64 (+.f64 a b) a)) #s(literal 1/12 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 a b) a))) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
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(pow.f64 (pow.f64 (.f64 (/.f64 eps (expm1.f64 (.f64 b eps))) (+.f64 #s(literal 1 binary64) (fma.f64 eps (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a) (+.f64 a b))) (/.f64 b a)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(.f64 (/.f64 eps (expm1.f64 (.f64 b eps))) (+.f64 #s(literal 1 binary64) (fma.f64 eps (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a) (+.f64 a b))) (/.f64 b a))))
(.f64 eps (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (.f64 eps #s(literal 1/2 binary64)) (-.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a) (+.f64 a b)) (/.f64 b a))) (expm1.f64 (*.f64 b eps))))
(pow.f64 (sqrt.f64 (.f64 (/.f64 eps (expm1.f64 (.f64 b eps))) (+.f64 #s(literal 1 binary64) (fma.f64 eps (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a) (+.f64 a b))) (/.f64 b a))))) #s(literal 2 binary64))
(.f64 (/.f64 eps (expm1.f64 (.f64 b eps))) (+.f64 #s(literal 1 binary64) (fma.f64 eps (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a) (+.f64 a b))) (/.f64 b a))))
(.f64 eps (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (.f64 eps #s(literal 1/2 binary64)) (-.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a) (+.f64 a b)) (/.f64 b a))) (expm1.f64 (*.f64 b eps))))
(sqrt.f64 (pow.f64 (.f64 (/.f64 eps (expm1.f64 (.f64 b eps))) (+.f64 #s(literal 1 binary64) (fma.f64 eps (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a) (+.f64 a b))) (/.f64 b a)))) #s(literal 2 binary64)))
(fabs.f64 (.f64 eps (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (.f64 eps #s(literal 1/2 binary64)) (-.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a) (+.f64 a b)) (/.f64 b a))) (expm1.f64 (*.f64 b eps)))))
(log.f64 (pow.f64 (exp.f64 (/.f64 eps (expm1.f64 (.f64 b eps)))) (+.f64 #s(literal 1 binary64) (fma.f64 eps (.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a) (+.f64 a b))) (/.f64 b a)))))
(.f64 (/.f64 eps (expm1.f64 (.f64 b eps))) (+.f64 #s(literal 1 binary64) (fma.f64 eps (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a) (+.f64 a b))) (/.f64 b a))))
(.f64 eps (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (.f64 eps #s(literal 1/2 binary64)) (-.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a) (+.f64 a b)) (/.f64 b a))) (expm1.f64 (*.f64 b eps))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (/.f64 eps (expm1.f64 (.f64 b eps))) (+.f64 #s(literal 1 binary64) (fma.f64 eps (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a) (+.f64 a b))) (/.f64 b a)))))))
(.f64 (/.f64 eps (expm1.f64 (.f64 b eps))) (+.f64 #s(literal 1 binary64) (fma.f64 eps (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a) (+.f64 a b))) (/.f64 b a))))
(.f64 eps (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (.f64 eps #s(literal 1/2 binary64)) (-.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a) (+.f64 a b)) (/.f64 b a))) (expm1.f64 (*.f64 b eps))))
(cbrt.f64 (pow.f64 (.f64 (/.f64 eps (expm1.f64 (.f64 b eps))) (+.f64 #s(literal 1 binary64) (fma.f64 eps (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a) (+.f64 a b))) (/.f64 b a)))) #s(literal 3 binary64)))
(.f64 (/.f64 eps (expm1.f64 (.f64 b eps))) (+.f64 #s(literal 1 binary64) (fma.f64 eps (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a) (+.f64 a b))) (/.f64 b a))))
(.f64 eps (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (.f64 eps #s(literal 1/2 binary64)) (-.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a) (+.f64 a b)) (/.f64 b a))) (expm1.f64 (*.f64 b eps))))
(cbrt.f64 (.f64 (pow.f64 (/.f64 eps (expm1.f64 (.f64 b eps))) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (fma.f64 eps (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a) (+.f64 a b))) (/.f64 b a))) #s(literal 3 binary64))))
(.f64 (/.f64 eps (expm1.f64 (.f64 b eps))) (+.f64 #s(literal 1 binary64) (fma.f64 eps (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a) (+.f64 a b))) (/.f64 b a))))
(.f64 eps (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (.f64 eps #s(literal 1/2 binary64)) (-.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a) (+.f64 a b)) (/.f64 b a))) (expm1.f64 (*.f64 b eps))))
(cbrt.f64 (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (fma.f64 eps (.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a) (+.f64 a b))) (/.f64 b a))) #s(literal 3 binary64)) (pow.f64 (/.f64 eps (expm1.f64 (*.f64 b eps))) #s(literal 3 binary64))))
(.f64 (/.f64 eps (expm1.f64 (.f64 b eps))) (+.f64 #s(literal 1 binary64) (fma.f64 eps (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a) (+.f64 a b))) (/.f64 b a))))
(.f64 eps (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (.f64 eps #s(literal 1/2 binary64)) (-.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a) (+.f64 a b)) (/.f64 b a))) (expm1.f64 (*.f64 b eps))))
(expm1.f64 (log1p.f64 (.f64 (/.f64 eps (expm1.f64 (.f64 b eps))) (+.f64 #s(literal 1 binary64) (fma.f64 eps (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a) (+.f64 a b))) (/.f64 b a))))))
(expm1.f64 (log1p.f64 (.f64 eps (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (.f64 eps #s(literal 1/2 binary64)) (-.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a) (+.f64 a b)) (/.f64 b a))) (expm1.f64 (*.f64 b eps))))))
(log1p.f64 (expm1.f64 (.f64 (/.f64 eps (expm1.f64 (.f64 b eps))) (+.f64 #s(literal 1 binary64) (fma.f64 eps (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a) (+.f64 a b))) (/.f64 b a))))))
(.f64 (/.f64 eps (expm1.f64 (.f64 b eps))) (+.f64 #s(literal 1 binary64) (fma.f64 eps (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a) (+.f64 a b))) (/.f64 b a))))
(.f64 eps (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (.f64 eps #s(literal 1/2 binary64)) (-.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a) (+.f64 a b)) (/.f64 b a))) (expm1.f64 (*.f64 b eps))))
(exp.f64 (+.f64 (log.f64 (/.f64 eps (expm1.f64 (.f64 b eps)))) (log1p.f64 (fma.f64 eps (.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a) (+.f64 a b))) (/.f64 b a)))))
(.f64 (/.f64 eps (expm1.f64 (.f64 b eps))) (+.f64 #s(literal 1 binary64) (fma.f64 eps (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a) (+.f64 a b))) (/.f64 b a))))
(.f64 eps (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (.f64 eps #s(literal 1/2 binary64)) (-.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a) (+.f64 a b)) (/.f64 b a))) (expm1.f64 (*.f64 b eps))))
(exp.f64 (.f64 (+.f64 (log.f64 (/.f64 eps (expm1.f64 (.f64 b eps)))) (log1p.f64 (fma.f64 eps (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a) (+.f64 a b))) (/.f64 b a)))) #s(literal 1 binary64)))
(.f64 (/.f64 eps (expm1.f64 (.f64 b eps))) (+.f64 #s(literal 1 binary64) (fma.f64 eps (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a) (+.f64 a b))) (/.f64 b a))))
(.f64 eps (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (.f64 eps #s(literal 1/2 binary64)) (-.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a) (+.f64 a b)) (/.f64 b a))) (expm1.f64 (*.f64 b eps))))
(fma.f64 #s(literal 1 binary64) (/.f64 eps (expm1.f64 (.f64 b eps))) (.f64 (fma.f64 eps (.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a) (+.f64 a b))) (/.f64 b a)) (/.f64 eps (expm1.f64 (.f64 b eps)))))
(.f64 (/.f64 eps (expm1.f64 (.f64 b eps))) (+.f64 #s(literal 1 binary64) (fma.f64 eps (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a) (+.f64 a b))) (/.f64 b a))))
(.f64 eps (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (.f64 eps #s(literal 1/2 binary64)) (-.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a) (+.f64 a b)) (/.f64 b a))) (expm1.f64 (*.f64 b eps))))
(fma.f64 eps (/.f64 #s(literal 1 binary64) (expm1.f64 (.f64 b eps))) (.f64 (fma.f64 eps (.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a) (+.f64 a b))) (/.f64 b a)) (/.f64 eps (expm1.f64 (.f64 b eps)))))
(fma.f64 eps (/.f64 #s(literal 1 binary64) (expm1.f64 (.f64 b eps))) (.f64 (/.f64 eps (expm1.f64 (.f64 b eps))) (fma.f64 eps (.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a) (+.f64 a b))) (/.f64 b a))))
(fma.f64 eps (/.f64 #s(literal 1 binary64) (expm1.f64 (.f64 b eps))) (.f64 (/.f64 eps (expm1.f64 (.f64 b eps))) (fma.f64 (.f64 eps #s(literal 1/2 binary64)) (-.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a) (+.f64 a b)) (/.f64 b a))))
(fma.f64 (/.f64 eps (expm1.f64 (.f64 b eps))) #s(literal 1 binary64) (.f64 (/.f64 eps (expm1.f64 (.f64 b eps))) (fma.f64 eps (.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a) (+.f64 a b))) (/.f64 b a))))
(.f64 (/.f64 eps (expm1.f64 (.f64 b eps))) (+.f64 #s(literal 1 binary64) (fma.f64 eps (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a) (+.f64 a b))) (/.f64 b a))))
(.f64 eps (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (.f64 eps #s(literal 1/2 binary64)) (-.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a) (+.f64 a b)) (/.f64 b a))) (expm1.f64 (*.f64 b eps))))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 eps (expm1.f64 (.f64 b eps)))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 eps (expm1.f64 (.f64 b eps)))) (.f64 (fma.f64 eps (.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a) (+.f64 a b))) (/.f64 b a)) (/.f64 eps (expm1.f64 (*.f64 b eps)))))
(.f64 (/.f64 eps (expm1.f64 (.f64 b eps))) (+.f64 #s(literal 1 binary64) (fma.f64 eps (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a) (+.f64 a b))) (/.f64 b a))))
(.f64 eps (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (.f64 eps #s(literal 1/2 binary64)) (-.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a) (+.f64 a b)) (/.f64 b a))) (expm1.f64 (*.f64 b eps))))
(fma.f64 (sqrt.f64 (/.f64 eps (expm1.f64 (.f64 b eps)))) (sqrt.f64 (/.f64 eps (expm1.f64 (.f64 b eps)))) (.f64 (fma.f64 eps (.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a) (+.f64 a b))) (/.f64 b a)) (/.f64 eps (expm1.f64 (*.f64 b eps)))))
(.f64 (/.f64 eps (expm1.f64 (.f64 b eps))) (+.f64 #s(literal 1 binary64) (fma.f64 eps (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a) (+.f64 a b))) (/.f64 b a))))
(.f64 eps (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (.f64 eps #s(literal 1/2 binary64)) (-.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a) (+.f64 a b)) (/.f64 b a))) (expm1.f64 (*.f64 b eps))))

eval169.0ms (0.4%)

Compiler: Compiled 29214 to 4188 computations (85.7% saved)

prune174.0ms (0.4%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	1028	6	1034
Fresh	2	0	2
Picked	3	2	5
Done	0	0	0
Total	1033	8	1041

Accuracy

100.0%

Counts

1041 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) b)
▶	99.8%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)
▶	29.6%	(/.f64 b (*.f64 a b))
▶	35.1%	(/.f64 a (*.f64 a b))
	99.8%	(/.f64 #s(literal 1 binary64) (*.f64 a (/.f64 b (+.f64 a b))))
✓	55.0%	(/.f64 #s(literal 1 binary64) b)
✓	43.8%	(/.f64 #s(literal 1 binary64) a)
▶	99.9%	(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))

Compiler

Compiled 128 to 88 computations (31.3% saved)

simplify9.0ms (0%)

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 b a)
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 b a))
✓	cost-diff	0	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) b)
✓	cost-diff	0	(/.f64 a b)
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 a b))
✓	cost-diff	0	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)
	cost-diff	0	(*.f64 a b)
✓	cost-diff	128	(/.f64 b (*.f64 a b))
	cost-diff	0	(*.f64 a b)
✓	cost-diff	128	(/.f64 a (*.f64 a b))
	cost-diff	0	(/.f64 #s(literal 1 binary64) b)
	cost-diff	0	(/.f64 #s(literal 1 binary64) a)
✓	cost-diff	0	(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))

Rules

4×	`associate-/r*`
3×	`1-exp`
3×	`+-commutative`
2×	`*-inverses`
1×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	254
1	33	254
2	36	254
3	36	254

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(/.f64 #s(literal 1 binary64) a)
#s(literal 1 binary64)
a
(/.f64 #s(literal 1 binary64) b)
b
(/.f64 a (*.f64 a b))
a
(*.f64 a b)
b
(/.f64 b (*.f64 a b))
b
(*.f64 a b)
a
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)
(+.f64 #s(literal 1 binary64) (/.f64 a b))
#s(literal 1 binary64)
(/.f64 a b)
a
b
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) b)
(+.f64 #s(literal 1 binary64) (/.f64 b a))
#s(literal 1 binary64)
(/.f64 b a)
b
a

Outputs
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(/.f64 #s(literal 1 binary64) a)
#s(literal 1 binary64)
a
(/.f64 #s(literal 1 binary64) b)
b
(/.f64 a (*.f64 a b))
(/.f64 #s(literal 1 binary64) b)
a
(*.f64 a b)
b
(/.f64 b (*.f64 a b))
(/.f64 #s(literal 1 binary64) a)
b
(*.f64 a b)
a
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)
(+.f64 #s(literal 1 binary64) (/.f64 a b))
#s(literal 1 binary64)
(/.f64 a b)
a
b
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) b)
(+.f64 #s(literal 1 binary64) (/.f64 b a))
#s(literal 1 binary64)
(/.f64 b a)
b
a

localize100.0ms (0.2%)

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 b a)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (/.f64 b a))
✓	accuracy	99.8%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) b)
✓	accuracy	100.0%	(/.f64 a b)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (/.f64 a b))
✓	accuracy	99.8%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)
	accuracy	100.0%	(*.f64 a b)
✓	accuracy	63.7%	(/.f64 b (*.f64 a b))
	accuracy	100.0%	(*.f64 a b)
✓	accuracy	63.9%	(/.f64 a (*.f64 a b))
	accuracy	100.0%	(/.f64 #s(literal 1 binary64) b)
	accuracy	100.0%	(/.f64 #s(literal 1 binary64) a)
✓	accuracy	99.9%	(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))

Results

48.0ms

256×

valid

Compiler

Compiled 76 to 17 computations (77.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-div: 17.0ms (72.7% of total)

ival-add: 4.0ms (17.1% of total)

ival-mult: 2.0ms (8.6% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

series18.0ms (0%)

Counts

9 → 132

Calls

Call 1

Inputs
#<alt (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))>
#<alt (/.f64 a (*.f64 a b))>
#<alt (/.f64 b (*.f64 a b))>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)>
#<alt (+.f64 #s(literal 1 binary64) (/.f64 a b))>
#<alt (/.f64 a b)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) b)>
#<alt (+.f64 #s(literal 1 binary64) (/.f64 b a))>
#<alt (/.f64 b a)>

Outputs
#<alt (/.f64 #s(literal 1 binary64) a)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)>
#<alt (/.f64 #s(literal 1 binary64) b)>
#<alt (/.f64 #s(literal 1 binary64) b)>
#<alt (/.f64 #s(literal 1 binary64) b)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) b)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) b)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) b)>
#<alt (/.f64 #s(literal 1 binary64) a)>
#<alt (/.f64 #s(literal 1 binary64) a)>
#<alt (/.f64 #s(literal 1 binary64) b)>
#<alt (/.f64 #s(literal 1 binary64) b)>
#<alt (/.f64 #s(literal 1 binary64) b)>
#<alt (/.f64 #s(literal 1 binary64) b)>
#<alt (/.f64 #s(literal 1 binary64) b)>
#<alt (/.f64 #s(literal 1 binary64) b)>
#<alt (/.f64 #s(literal 1 binary64) b)>
#<alt (/.f64 #s(literal 1 binary64) b)>
#<alt (/.f64 #s(literal 1 binary64) b)>
#<alt (/.f64 #s(literal 1 binary64) b)>
#<alt (/.f64 #s(literal 1 binary64) b)>
#<alt (/.f64 #s(literal 1 binary64) b)>
#<alt (/.f64 #s(literal 1 binary64) b)>
#<alt (/.f64 #s(literal 1 binary64) b)>
#<alt (/.f64 #s(literal 1 binary64) b)>
#<alt (/.f64 #s(literal 1 binary64) b)>
#<alt (/.f64 #s(literal 1 binary64) b)>
#<alt (/.f64 #s(literal 1 binary64) b)>
#<alt (/.f64 #s(literal 1 binary64) b)>
#<alt (/.f64 #s(literal 1 binary64) b)>
#<alt (/.f64 #s(literal 1 binary64) b)>
#<alt (/.f64 #s(literal 1 binary64) b)>
#<alt (/.f64 #s(literal 1 binary64) b)>
#<alt (/.f64 #s(literal 1 binary64) b)>
#<alt (/.f64 #s(literal 1 binary64) a)>
#<alt (/.f64 #s(literal 1 binary64) a)>
#<alt (/.f64 #s(literal 1 binary64) a)>
#<alt (/.f64 #s(literal 1 binary64) a)>
#<alt (/.f64 #s(literal 1 binary64) a)>
#<alt (/.f64 #s(literal 1 binary64) a)>
#<alt (/.f64 #s(literal 1 binary64) a)>
#<alt (/.f64 #s(literal 1 binary64) a)>
#<alt (/.f64 #s(literal 1 binary64) a)>
#<alt (/.f64 #s(literal 1 binary64) a)>
#<alt (/.f64 #s(literal 1 binary64) a)>
#<alt (/.f64 #s(literal 1 binary64) a)>
#<alt (/.f64 #s(literal 1 binary64) a)>
#<alt (/.f64 #s(literal 1 binary64) a)>
#<alt (/.f64 #s(literal 1 binary64) a)>
#<alt (/.f64 #s(literal 1 binary64) a)>
#<alt (/.f64 #s(literal 1 binary64) a)>
#<alt (/.f64 #s(literal 1 binary64) a)>
#<alt (/.f64 #s(literal 1 binary64) a)>
#<alt (/.f64 #s(literal 1 binary64) a)>
#<alt (/.f64 #s(literal 1 binary64) a)>
#<alt (/.f64 #s(literal 1 binary64) a)>
#<alt (/.f64 #s(literal 1 binary64) a)>
#<alt (/.f64 #s(literal 1 binary64) a)>
#<alt (/.f64 #s(literal 1 binary64) a)>
#<alt (/.f64 #s(literal 1 binary64) b)>
#<alt (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))>
#<alt (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))>
#<alt (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))>
#<alt (/.f64 #s(literal 1 binary64) b)>
#<alt (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))>
#<alt (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))>
#<alt (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))>
#<alt (/.f64 #s(literal 1 binary64) b)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) b)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) b)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) b)>
#<alt (/.f64 #s(literal 1 binary64) a)>
#<alt (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))>
#<alt (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))>
#<alt (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))>
#<alt (/.f64 #s(literal 1 binary64) a)>
#<alt (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))>
#<alt (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))>
#<alt (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))>
#<alt #s(literal 1 binary64)>
#<alt (/.f64 a b)>
#<alt (*.f64 a (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))>
#<alt (*.f64 a (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))>
#<alt (*.f64 a (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))>
#<alt (/.f64 a b)>
#<alt (*.f64 a (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))>
#<alt (*.f64 a (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))>
#<alt (*.f64 a (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))>
#<alt (/.f64 a b)>
#<alt (/.f64 (+.f64 a b) b)>
#<alt (/.f64 (+.f64 a b) b)>
#<alt (/.f64 (+.f64 a b) b)>
#<alt #s(literal 1 binary64)>
#<alt #s(literal 1 binary64)>
#<alt (/.f64 #s(literal 1 binary64) b)>
#<alt (/.f64 #s(literal 1 binary64) a)>
#<alt (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))>
#<alt (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))>
#<alt (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))>
#<alt (/.f64 #s(literal 1 binary64) a)>
#<alt (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))>
#<alt (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))>
#<alt (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))>
#<alt (/.f64 #s(literal 1 binary64) a)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)>
#<alt (/.f64 #s(literal 1 binary64) b)>
#<alt (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))>
#<alt (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))>
#<alt (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))>
#<alt (/.f64 #s(literal 1 binary64) b)>
#<alt (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))>
#<alt (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))>
#<alt (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))>
#<alt #s(literal 1 binary64)>
#<alt (/.f64 b a)>
#<alt (*.f64 b (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))>
#<alt (*.f64 b (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))>
#<alt (*.f64 b (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))>
#<alt (/.f64 b a)>
#<alt (*.f64 b (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))>
#<alt (*.f64 b (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))>
#<alt (*.f64 b (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))>
#<alt (/.f64 b a)>
#<alt (/.f64 (+.f64 a b) a)>
#<alt (/.f64 (+.f64 a b) a)>
#<alt (/.f64 (+.f64 a b) a)>
#<alt #s(literal 1 binary64)>
#<alt #s(literal 1 binary64)>

Calls

54 calls:

Time	Variable		Point	Expression
1.0ms	a	@	-inf	(/ (+ 1 (/ a b)) a)
1.0ms	b	@	-inf	(/ (+ 1 (/ a b)) a)
0.0ms	b	@	-inf	(/ (+ 1 (/ b a)) b)
0.0ms	a	@	inf	(/ (+ 1 (/ a b)) a)
0.0ms	a	@	0	(/ (+ 1 (/ a b)) a)

rewrite189.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1259×	`log1p-expm1-u`
289×	`expm1-log1p-u`
159×	`add-cube-cbrt`
158×	`add-exp-log`
158×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	189
1	358	177
2	5713	177

Stop Event

1×	node limit

Counts

9 → 371

Calls

Call 1

Inputs
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(/.f64 a (*.f64 a b))
(/.f64 b (*.f64 a b))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)
(+.f64 #s(literal 1 binary64) (/.f64 a b))
(/.f64 a b)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) b)
(+.f64 #s(literal 1 binary64) (/.f64 b a))
(/.f64 b a)

Outputs
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 a #s(literal -2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) (/.f64 (pow.f64 b #s(literal -2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))))
(*.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))))
(*.f64 (hypot.f64 (pow.f64 b #s(literal -1/2 binary64)) (pow.f64 a #s(literal -1/2 binary64))) (hypot.f64 (pow.f64 b #s(literal -1/2 binary64)) (pow.f64 a #s(literal -1/2 binary64))))
(*.f64 (+.f64 a b) (/.f64 (/.f64 #s(literal 1 binary64) a) b))
(*.f64 (+.f64 (pow.f64 a #s(literal -3 binary64)) (pow.f64 b #s(literal -3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal -2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) a) b))))
(*.f64 (-.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a b) (+.f64 a b)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal -2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) a) b)) (+.f64 (pow.f64 a #s(literal -3 binary64)) (pow.f64 b #s(literal -3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) (-.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal -2 binary64)))))
(/.f64 (+.f64 a b) (*.f64 a b))
(/.f64 (+.f64 (pow.f64 a #s(literal -3 binary64)) (pow.f64 b #s(literal -3 binary64))) (-.f64 (+.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal -2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) a) b)))
(/.f64 (+.f64 (pow.f64 a #s(literal -3 binary64)) (pow.f64 b #s(literal -3 binary64))) (+.f64 (pow.f64 b #s(literal -2 binary64)) (-.f64 (pow.f64 a #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) a) b))))
(/.f64 (-.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal -2 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(/.f64 (+.f64 (neg.f64 b) (.f64 a #s(literal -1 binary64))) (.f64 a (neg.f64 b)))
(/.f64 (+.f64 (neg.f64 b) (.f64 (neg.f64 a) #s(literal 1 binary64))) (.f64 a (neg.f64 b)))
(/.f64 (+.f64 (.f64 #s(literal -1 binary64) (neg.f64 b)) (.f64 (neg.f64 a) #s(literal -1 binary64))) (*.f64 (neg.f64 a) (neg.f64 b)))
(/.f64 (+.f64 (neg.f64 a) (.f64 b #s(literal -1 binary64))) (.f64 a (neg.f64 b)))
(/.f64 (+.f64 (neg.f64 a) (.f64 (neg.f64 b) #s(literal 1 binary64))) (.f64 a (neg.f64 b)))
(/.f64 (+.f64 (.f64 #s(literal -1 binary64) (neg.f64 a)) (.f64 (neg.f64 b) #s(literal -1 binary64))) (*.f64 (neg.f64 b) (neg.f64 a)))
(/.f64 (neg.f64 (+.f64 a b)) (*.f64 a (neg.f64 b)))
(/.f64 (neg.f64 (+.f64 (pow.f64 a #s(literal -3 binary64)) (pow.f64 b #s(literal -3 binary64)))) (neg.f64 (-.f64 (+.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal -2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) a) b))))
(/.f64 (neg.f64 (-.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal -2 binary64)))) (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))))
(/.f64 (-.f64 (pow.f64 b #s(literal -2 binary64)) (pow.f64 a #s(literal -2 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)))
(/.f64 (/.f64 (+.f64 a b) #s(literal 1 binary64)) (*.f64 a b))
(/.f64 (/.f64 (+.f64 a b) a) b)
(/.f64 (/.f64 (+.f64 a b) b) a)
(/.f64 (/.f64 (+.f64 a b) (pow.f64 (cbrt.f64 (.f64 a b)) #s(literal 2 binary64))) (cbrt.f64 (.f64 a b)))
(/.f64 (/.f64 (+.f64 a b) (sqrt.f64 (.f64 a b))) (sqrt.f64 (.f64 a b)))
(pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (hypot.f64 (pow.f64 b #s(literal -1/2 binary64)) (pow.f64 a #s(literal -1/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))))
(exp.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))
(fma.f64 (cbrt.f64 (pow.f64 b #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 b)) (/.f64 #s(literal 1 binary64) a))
(fma.f64 (cbrt.f64 (pow.f64 a #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 a)) (/.f64 #s(literal 1 binary64) b))
(fma.f64 (pow.f64 b #s(literal -1/2 binary64)) (pow.f64 b #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) a))
(fma.f64 (pow.f64 a #s(literal -1/2 binary64)) (pow.f64 a #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) b))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) b))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b))
(*.f64 a (/.f64 (/.f64 #s(literal 1 binary64) a) b))
(*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 a b))
(*.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 b)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 b)) (cbrt.f64 (pow.f64 b #s(literal -2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 b #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 b)))
(.f64 (pow.f64 (cbrt.f64 a) #s(literal 2 binary64)) (/.f64 (cbrt.f64 a) (.f64 a b)))
(.f64 (pow.f64 (cbrt.f64 a) #s(literal 2 binary64)) (.f64 (cbrt.f64 a) (/.f64 (/.f64 #s(literal 1 binary64) a) b)))
(*.f64 (pow.f64 b #s(literal -1/2 binary64)) (pow.f64 b #s(literal -1/2 binary64)))
(.f64 (sqrt.f64 a) (/.f64 (sqrt.f64 a) (.f64 a b)))
(.f64 (sqrt.f64 a) (.f64 (sqrt.f64 a) (/.f64 (/.f64 #s(literal 1 binary64) a) b)))
(.f64 (neg.f64 a) (/.f64 #s(literal 1 binary64) (.f64 a (neg.f64 b))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) b) a)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 b) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 b) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 b) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 b) #s(literal -1 binary64)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 a) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 a) (.f64 a b)))
(.f64 (/.f64 (sqrt.f64 a) #s(literal 1 binary64)) (/.f64 (sqrt.f64 a) (.f64 a b)))
(*.f64 (/.f64 (sqrt.f64 a) a) (/.f64 (sqrt.f64 a) b))
(*.f64 (/.f64 (sqrt.f64 a) b) (/.f64 (sqrt.f64 a) a))
(.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (.f64 a b)) #s(literal 2 binary64))) (/.f64 a (cbrt.f64 (*.f64 a b))))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 a b))) (/.f64 a (sqrt.f64 (*.f64 a b))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a) #s(literal 2 binary64)) a) (/.f64 (cbrt.f64 a) b))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a) #s(literal 2 binary64)) b) (/.f64 (cbrt.f64 a) a))
(.f64 (/.f64 (pow.f64 (cbrt.f64 a) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (.f64 a b)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 b)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 a) #s(literal 2 binary64)) (sqrt.f64 (.f64 a b))) (/.f64 (cbrt.f64 a) (sqrt.f64 (*.f64 a b))))
(.f64 (/.f64 (sqrt.f64 a) (pow.f64 (cbrt.f64 (.f64 a b)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 a) (cbrt.f64 (*.f64 a b))))
(pow.f64 b #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 b)) #s(literal 3 binary64))
(pow.f64 (pow.f64 b #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 b #s(literal -3 binary64)) #s(literal 1/3 binary64))
(neg.f64 (/.f64 a (*.f64 a (neg.f64 b))))
(neg.f64 (/.f64 (neg.f64 a) (*.f64 a b)))
(neg.f64 (/.f64 #s(literal -1 binary64) b))
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(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) (/.f64 #s(literal 1 binary64) b))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) b) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) b)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) b)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) b)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) b)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a))) b))
(.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a))) (/.f64 #s(literal 1 binary64) b)))
(*.f64 (pow.f64 b #s(literal -1/2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) (sqrt.f64 b)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) b)) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) b)))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a))) (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a))) b))
(.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a))) (.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a))) (/.f64 #s(literal 1 binary64) b)))
(*.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 b a))) (/.f64 #s(literal 1 binary64) (neg.f64 b)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 b) #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) (cbrt.f64 b)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a))) b))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 b) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) b)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a))) #s(literal 2 binary64)) (sqrt.f64 b)) (/.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a))) (sqrt.f64 b)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a))) b))
(*.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a))) (pow.f64 (cbrt.f64 b) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a))) (cbrt.f64 b)))
(.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) (cbrt.f64 (pow.f64 b #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 b)))
(.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) (pow.f64 b #s(literal -1/2 binary64))) (pow.f64 b #s(literal -1/2 binary64)))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) b) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) b)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) b) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) b)) #s(literal 2 binary64))
(pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (/.f64 b a))) #s(literal -1 binary64))
(neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) (neg.f64 b)))
(neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 b a))) b))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) b) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) b)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) b))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) b) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) #s(literal 3 binary64)) (pow.f64 b #s(literal -3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) b)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) b)))
(exp.f64 (-.f64 (log1p.f64 (/.f64 b a)) (log.f64 b)))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (/.f64 b a)) (log.f64 b)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 b a))) (/.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 b a))))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 b a)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a))) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a))))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a))))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))) (/.f64 b a))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 b a))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))) (/.f64 b a)) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 3 binary64))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))) (/.f64 b a)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 b a))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 b a)))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 3 binary64)))) (neg.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))) (/.f64 b a))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a))))
(/.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 b a) #s(literal 1 binary64)))
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)))))
(cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a))))
(log1p.f64 (expm1.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a))))
(exp.f64 (log1p.f64 (/.f64 b a)))
(exp.f64 (*.f64 (log1p.f64 (/.f64 b a)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 b a) #s(literal 1 binary64))
(fma.f64 b (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 b a)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 b a)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (/.f64 b a)) (sqrt.f64 (/.f64 b a)) #s(literal 1 binary64))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 b a))
(*.f64 (/.f64 #s(literal 1 binary64) a) b)
(*.f64 b (/.f64 #s(literal 1 binary64) a))
(*.f64 (/.f64 b a) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (/.f64 b a)) (pow.f64 (cbrt.f64 (/.f64 b a)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 b a)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 b a)))
(*.f64 (pow.f64 (cbrt.f64 b) #s(literal 2 binary64)) (/.f64 (cbrt.f64 b) a))
(.f64 (pow.f64 (cbrt.f64 b) #s(literal 2 binary64)) (.f64 (cbrt.f64 b) (/.f64 #s(literal 1 binary64) a)))
(*.f64 (sqrt.f64 (/.f64 b a)) (sqrt.f64 (/.f64 b a)))
(*.f64 (pow.f64 a #s(literal -1/2 binary64)) (/.f64 b (sqrt.f64 a)))
(*.f64 (sqrt.f64 b) (/.f64 (sqrt.f64 b) a))
(.f64 (sqrt.f64 b) (.f64 (sqrt.f64 b) (/.f64 #s(literal 1 binary64) a)))
(*.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (neg.f64 a)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 a) #s(literal 2 binary64))) (/.f64 b (cbrt.f64 a)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 b) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 b) a))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 b) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 a) #s(literal 2 binary64))) (cbrt.f64 (/.f64 b a)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 b) #s(literal 2 binary64)) (sqrt.f64 a)) (/.f64 (cbrt.f64 b) (sqrt.f64 a)))
(*.f64 (/.f64 (sqrt.f64 b) #s(literal 1 binary64)) (/.f64 (sqrt.f64 b) a))
(*.f64 (/.f64 (sqrt.f64 b) (pow.f64 (cbrt.f64 a) #s(literal 2 binary64))) (/.f64 (sqrt.f64 b) (cbrt.f64 a)))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 a)) (neg.f64 b))
(.f64 (.f64 b (cbrt.f64 (pow.f64 a #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 a)))
(.f64 (.f64 b (pow.f64 a #s(literal -1/2 binary64))) (pow.f64 a #s(literal -1/2 binary64)))
(pow.f64 (/.f64 a b) #s(literal -1 binary64))
(pow.f64 (/.f64 b a) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 b a)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 b a) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 b a)) #s(literal 2 binary64))
(neg.f64 (/.f64 b (neg.f64 a)))
(neg.f64 (/.f64 (neg.f64 b) a))
(sqrt.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 b a)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 b a))))
(cbrt.f64 (pow.f64 (/.f64 b a) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 b a)))
(log1p.f64 (expm1.f64 (/.f64 b a)))
(exp.f64 (log.f64 (/.f64 b a)))
(exp.f64 (*.f64 (log.f64 (/.f64 b a)) #s(literal 1 binary64)))

simplify200.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

575×	`cube-prod`
557×	`exp-prod`
489×	`associate-r`
413×	`associate-l`
282×	`times-frac`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	749	13156
1	1645	11542
2	6483	11533

Stop Event

1×	node limit

Counts

503 → 464

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) a)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)
(/.f64 #s(literal 1 binary64) b)
(/.f64 #s(literal 1 binary64) b)
(/.f64 #s(literal 1 binary64) b)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) b)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) b)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) b)
(/.f64 #s(literal 1 binary64) a)
(/.f64 #s(literal 1 binary64) a)
(/.f64 #s(literal 1 binary64) b)
(/.f64 #s(literal 1 binary64) b)
(/.f64 #s(literal 1 binary64) b)
(/.f64 #s(literal 1 binary64) b)
(/.f64 #s(literal 1 binary64) b)
(/.f64 #s(literal 1 binary64) b)
(/.f64 #s(literal 1 binary64) b)
(/.f64 #s(literal 1 binary64) b)
(/.f64 #s(literal 1 binary64) b)
(/.f64 #s(literal 1 binary64) b)
(/.f64 #s(literal 1 binary64) b)
(/.f64 #s(literal 1 binary64) b)
(/.f64 #s(literal 1 binary64) b)
(/.f64 #s(literal 1 binary64) b)
(/.f64 #s(literal 1 binary64) b)
(/.f64 #s(literal 1 binary64) b)
(/.f64 #s(literal 1 binary64) b)
(/.f64 #s(literal 1 binary64) b)
(/.f64 #s(literal 1 binary64) b)
(/.f64 #s(literal 1 binary64) b)
(/.f64 #s(literal 1 binary64) b)
(/.f64 #s(literal 1 binary64) b)
(/.f64 #s(literal 1 binary64) b)
(/.f64 #s(literal 1 binary64) b)
(/.f64 #s(literal 1 binary64) a)
(/.f64 #s(literal 1 binary64) a)
(/.f64 #s(literal 1 binary64) a)
(/.f64 #s(literal 1 binary64) a)
(/.f64 #s(literal 1 binary64) a)
(/.f64 #s(literal 1 binary64) a)
(/.f64 #s(literal 1 binary64) a)
(/.f64 #s(literal 1 binary64) a)
(/.f64 #s(literal 1 binary64) a)
(/.f64 #s(literal 1 binary64) a)
(/.f64 #s(literal 1 binary64) a)
(/.f64 #s(literal 1 binary64) a)
(/.f64 #s(literal 1 binary64) a)
(/.f64 #s(literal 1 binary64) a)
(/.f64 #s(literal 1 binary64) a)
(/.f64 #s(literal 1 binary64) a)
(/.f64 #s(literal 1 binary64) a)
(/.f64 #s(literal 1 binary64) a)
(/.f64 #s(literal 1 binary64) a)
(/.f64 #s(literal 1 binary64) a)
(/.f64 #s(literal 1 binary64) a)
(/.f64 #s(literal 1 binary64) a)
(/.f64 #s(literal 1 binary64) a)
(/.f64 #s(literal 1 binary64) a)
(/.f64 #s(literal 1 binary64) a)
(/.f64 #s(literal 1 binary64) b)
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(/.f64 #s(literal 1 binary64) b)
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(/.f64 #s(literal 1 binary64) b)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) b)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) b)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) b)
(/.f64 #s(literal 1 binary64) a)
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(/.f64 #s(literal 1 binary64) a)
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
#s(literal 1 binary64)
(/.f64 a b)
(*.f64 a (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(*.f64 a (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(*.f64 a (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(/.f64 a b)
(*.f64 a (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(*.f64 a (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(*.f64 a (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(/.f64 a b)
(/.f64 (+.f64 a b) b)
(/.f64 (+.f64 a b) b)
(/.f64 (+.f64 a b) b)
#s(literal 1 binary64)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) b)
(/.f64 #s(literal 1 binary64) a)
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(/.f64 #s(literal 1 binary64) a)
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(/.f64 #s(literal 1 binary64) a)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)
(/.f64 #s(literal 1 binary64) b)
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(/.f64 #s(literal 1 binary64) b)
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
#s(literal 1 binary64)
(/.f64 b a)
(*.f64 b (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(*.f64 b (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(*.f64 b (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(/.f64 b a)
(*.f64 b (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(*.f64 b (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(*.f64 b (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(/.f64 b a)
(/.f64 (+.f64 a b) a)
(/.f64 (+.f64 a b) a)
(/.f64 (+.f64 a b) a)
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(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)))))
(cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a))))
(log1p.f64 (expm1.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a))))
(exp.f64 (log1p.f64 (/.f64 b a)))
(exp.f64 (*.f64 (log1p.f64 (/.f64 b a)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 b a) #s(literal 1 binary64))
(fma.f64 b (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 b a)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 b a)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (/.f64 b a)) (sqrt.f64 (/.f64 b a)) #s(literal 1 binary64))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 b a))
(*.f64 (/.f64 #s(literal 1 binary64) a) b)
(*.f64 b (/.f64 #s(literal 1 binary64) a))
(*.f64 (/.f64 b a) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (/.f64 b a)) (pow.f64 (cbrt.f64 (/.f64 b a)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 b a)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 b a)))
(*.f64 (pow.f64 (cbrt.f64 b) #s(literal 2 binary64)) (/.f64 (cbrt.f64 b) a))
(.f64 (pow.f64 (cbrt.f64 b) #s(literal 2 binary64)) (.f64 (cbrt.f64 b) (/.f64 #s(literal 1 binary64) a)))
(*.f64 (sqrt.f64 (/.f64 b a)) (sqrt.f64 (/.f64 b a)))
(*.f64 (pow.f64 a #s(literal -1/2 binary64)) (/.f64 b (sqrt.f64 a)))
(*.f64 (sqrt.f64 b) (/.f64 (sqrt.f64 b) a))
(.f64 (sqrt.f64 b) (.f64 (sqrt.f64 b) (/.f64 #s(literal 1 binary64) a)))
(*.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (neg.f64 a)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 a) #s(literal 2 binary64))) (/.f64 b (cbrt.f64 a)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 b) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 b) a))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 b) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 a) #s(literal 2 binary64))) (cbrt.f64 (/.f64 b a)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 b) #s(literal 2 binary64)) (sqrt.f64 a)) (/.f64 (cbrt.f64 b) (sqrt.f64 a)))
(*.f64 (/.f64 (sqrt.f64 b) #s(literal 1 binary64)) (/.f64 (sqrt.f64 b) a))
(*.f64 (/.f64 (sqrt.f64 b) (pow.f64 (cbrt.f64 a) #s(literal 2 binary64))) (/.f64 (sqrt.f64 b) (cbrt.f64 a)))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 a)) (neg.f64 b))
(.f64 (.f64 b (cbrt.f64 (pow.f64 a #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 a)))
(.f64 (.f64 b (pow.f64 a #s(literal -1/2 binary64))) (pow.f64 a #s(literal -1/2 binary64)))
(pow.f64 (/.f64 a b) #s(literal -1 binary64))
(pow.f64 (/.f64 b a) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 b a)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 b a) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 b a)) #s(literal 2 binary64))
(neg.f64 (/.f64 b (neg.f64 a)))
(neg.f64 (/.f64 (neg.f64 b) a))
(sqrt.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 b a)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 b a))))
(cbrt.f64 (pow.f64 (/.f64 b a) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 b a)))
(log1p.f64 (expm1.f64 (/.f64 b a)))
(exp.f64 (log.f64 (/.f64 b a)))
(exp.f64 (*.f64 (log.f64 (/.f64 b a)) #s(literal 1 binary64)))

Outputs
(/.f64 #s(literal 1 binary64) a)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(/.f64 #s(literal 1 binary64) b)
(/.f64 #s(literal 1 binary64) b)
(/.f64 #s(literal 1 binary64) b)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) b)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) b)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) b)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(/.f64 #s(literal 1 binary64) a)
(/.f64 #s(literal 1 binary64) a)
(/.f64 #s(literal 1 binary64) b)
(/.f64 #s(literal 1 binary64) b)
(/.f64 #s(literal 1 binary64) b)
(/.f64 #s(literal 1 binary64) b)
(/.f64 #s(literal 1 binary64) b)
(/.f64 #s(literal 1 binary64) b)
(/.f64 #s(literal 1 binary64) b)
(/.f64 #s(literal 1 binary64) b)
(/.f64 #s(literal 1 binary64) b)
(/.f64 #s(literal 1 binary64) b)
(/.f64 #s(literal 1 binary64) b)
(/.f64 #s(literal 1 binary64) b)
(/.f64 #s(literal 1 binary64) b)
(/.f64 #s(literal 1 binary64) b)
(/.f64 #s(literal 1 binary64) b)
(/.f64 #s(literal 1 binary64) b)
(/.f64 #s(literal 1 binary64) b)
(/.f64 #s(literal 1 binary64) b)
(/.f64 #s(literal 1 binary64) b)
(/.f64 #s(literal 1 binary64) b)
(/.f64 #s(literal 1 binary64) b)
(/.f64 #s(literal 1 binary64) b)
(/.f64 #s(literal 1 binary64) b)
(/.f64 #s(literal 1 binary64) b)
(/.f64 #s(literal 1 binary64) a)
(/.f64 #s(literal 1 binary64) a)
(/.f64 #s(literal 1 binary64) a)
(/.f64 #s(literal 1 binary64) a)
(/.f64 #s(literal 1 binary64) a)
(/.f64 #s(literal 1 binary64) a)
(/.f64 #s(literal 1 binary64) a)
(/.f64 #s(literal 1 binary64) a)
(/.f64 #s(literal 1 binary64) a)
(/.f64 #s(literal 1 binary64) a)
(/.f64 #s(literal 1 binary64) a)
(/.f64 #s(literal 1 binary64) a)
(/.f64 #s(literal 1 binary64) a)
(/.f64 #s(literal 1 binary64) a)
(/.f64 #s(literal 1 binary64) a)
(/.f64 #s(literal 1 binary64) a)
(/.f64 #s(literal 1 binary64) a)
(/.f64 #s(literal 1 binary64) a)
(/.f64 #s(literal 1 binary64) a)
(/.f64 #s(literal 1 binary64) a)
(/.f64 #s(literal 1 binary64) a)
(/.f64 #s(literal 1 binary64) a)
(/.f64 #s(literal 1 binary64) a)
(/.f64 #s(literal 1 binary64) a)
(/.f64 #s(literal 1 binary64) a)
(/.f64 #s(literal 1 binary64) b)
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)
(/.f64 #s(literal 1 binary64) b)
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)
(/.f64 #s(literal 1 binary64) b)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) b)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) b)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) b)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(/.f64 #s(literal 1 binary64) a)
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)
(/.f64 #s(literal 1 binary64) a)
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)
#s(literal 1 binary64)
(/.f64 a b)
(*.f64 a (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(+.f64 #s(literal 1 binary64) (/.f64 a b))
(*.f64 a (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(+.f64 #s(literal 1 binary64) (/.f64 a b))
(*.f64 a (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(+.f64 #s(literal 1 binary64) (/.f64 a b))
(/.f64 a b)
(*.f64 a (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(+.f64 #s(literal 1 binary64) (/.f64 a b))
(*.f64 a (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(+.f64 #s(literal 1 binary64) (/.f64 a b))
(*.f64 a (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(+.f64 #s(literal 1 binary64) (/.f64 a b))
(/.f64 a b)
(/.f64 (+.f64 a b) b)
(/.f64 (+.f64 a b) b)
(/.f64 (+.f64 a b) b)
#s(literal 1 binary64)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) b)
(/.f64 #s(literal 1 binary64) a)
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)
(/.f64 #s(literal 1 binary64) a)
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)
(/.f64 #s(literal 1 binary64) a)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(/.f64 #s(literal 1 binary64) b)
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)
(/.f64 #s(literal 1 binary64) b)
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)
#s(literal 1 binary64)
(/.f64 b a)
(*.f64 b (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(+.f64 #s(literal 1 binary64) (/.f64 b a))
(*.f64 b (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(+.f64 #s(literal 1 binary64) (/.f64 b a))
(*.f64 b (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(+.f64 #s(literal 1 binary64) (/.f64 b a))
(/.f64 b a)
(*.f64 b (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(+.f64 #s(literal 1 binary64) (/.f64 b a))
(*.f64 b (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(+.f64 #s(literal 1 binary64) (/.f64 b a))
(*.f64 b (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(+.f64 #s(literal 1 binary64) (/.f64 b a))
(/.f64 b a)
(/.f64 (+.f64 a b) a)
(/.f64 (+.f64 a b) a)
(/.f64 (+.f64 a b) a)
#s(literal 1 binary64)
#s(literal 1 binary64)
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))))
(-.f64 (/.f64 (pow.f64 a #s(literal -2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) (/.f64 (pow.f64 b #s(literal -2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))))
(/.f64 (-.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal -2 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(/.f64 (-.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal -2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b)))
(*.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) #s(literal 1 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(*.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(*.f64 (hypot.f64 (pow.f64 b #s(literal -1/2 binary64)) (pow.f64 a #s(literal -1/2 binary64))) (hypot.f64 (pow.f64 b #s(literal -1/2 binary64)) (pow.f64 a #s(literal -1/2 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(*.f64 (+.f64 a b) (/.f64 (/.f64 #s(literal 1 binary64) a) b))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(*.f64 (+.f64 (pow.f64 a #s(literal -3 binary64)) (pow.f64 b #s(literal -3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal -2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) a) b))))
(/.f64 (.f64 (+.f64 (pow.f64 a #s(literal -3 binary64)) (pow.f64 b #s(literal -3 binary64))) #s(literal 1 binary64)) (+.f64 (pow.f64 a #s(literal -2 binary64)) (-.f64 (pow.f64 b #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 a b)))))
(/.f64 (+.f64 (pow.f64 a #s(literal -3 binary64)) (pow.f64 b #s(literal -3 binary64))) (+.f64 (pow.f64 a #s(literal -2 binary64)) (+.f64 (pow.f64 b #s(literal -2 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 a b)))))
(*.f64 (-.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))))
(/.f64 (-.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal -2 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(/.f64 (-.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal -2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a b) (+.f64 a b)))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal -2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) a) b)) (+.f64 (pow.f64 a #s(literal -3 binary64)) (pow.f64 b #s(literal -3 binary64)))))
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(/.f64 (+.f64 (pow.f64 a #s(literal -3 binary64)) (pow.f64 b #s(literal -3 binary64))) (+.f64 (pow.f64 a #s(literal -2 binary64)) (+.f64 (pow.f64 b #s(literal -2 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 a b)))))
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(*.f64 (pow.f64 (cbrt.f64 (/.f64 b a)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 b a)))
(/.f64 b a)
(*.f64 (pow.f64 (cbrt.f64 b) #s(literal 2 binary64)) (/.f64 (cbrt.f64 b) a))
(/.f64 b a)
(.f64 (pow.f64 (cbrt.f64 b) #s(literal 2 binary64)) (.f64 (cbrt.f64 b) (/.f64 #s(literal 1 binary64) a)))
(/.f64 b a)
(*.f64 (sqrt.f64 (/.f64 b a)) (sqrt.f64 (/.f64 b a)))
(/.f64 b a)
(*.f64 (pow.f64 a #s(literal -1/2 binary64)) (/.f64 b (sqrt.f64 a)))
(*.f64 (sqrt.f64 b) (/.f64 (sqrt.f64 b) a))
(/.f64 b a)
(.f64 (sqrt.f64 b) (.f64 (sqrt.f64 b) (/.f64 #s(literal 1 binary64) a)))
(/.f64 b a)
(*.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (neg.f64 a)))
(/.f64 b a)
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 a) #s(literal 2 binary64))) (/.f64 b (cbrt.f64 a)))
(/.f64 (/.f64 b (cbrt.f64 a)) (pow.f64 (cbrt.f64 a) #s(literal 2 binary64)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 b) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 b) a))
(/.f64 b a)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 b) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 a) #s(literal 2 binary64))) (cbrt.f64 (/.f64 b a)))
(*.f64 (cbrt.f64 (/.f64 b a)) (/.f64 (pow.f64 (cbrt.f64 b) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 a) #s(literal 2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 b) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (/.f64 b a)) (pow.f64 (cbrt.f64 a) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 b) #s(literal 2 binary64)) (sqrt.f64 a)) (/.f64 (cbrt.f64 b) (sqrt.f64 a)))
(/.f64 (/.f64 b (sqrt.f64 a)) (sqrt.f64 a))
(*.f64 (/.f64 (sqrt.f64 b) #s(literal 1 binary64)) (/.f64 (sqrt.f64 b) a))
(/.f64 b a)
(*.f64 (/.f64 (sqrt.f64 b) (pow.f64 (cbrt.f64 a) #s(literal 2 binary64))) (/.f64 (sqrt.f64 b) (cbrt.f64 a)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 a) #s(literal 2 binary64))) (/.f64 b (cbrt.f64 a)))
(/.f64 (/.f64 b (cbrt.f64 a)) (pow.f64 (cbrt.f64 a) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 a)) (neg.f64 b))
(/.f64 b a)
(.f64 (.f64 b (cbrt.f64 (pow.f64 a #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 a)))
(.f64 b (.f64 (cbrt.f64 (pow.f64 a #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 a))))
(/.f64 (*.f64 b (cbrt.f64 (pow.f64 a #s(literal -2 binary64)))) (cbrt.f64 a))
(.f64 (.f64 b (pow.f64 a #s(literal -1/2 binary64))) (pow.f64 a #s(literal -1/2 binary64)))
(/.f64 b a)
(pow.f64 (/.f64 a b) #s(literal -1 binary64))
(/.f64 b a)
(pow.f64 (/.f64 b a) #s(literal 1 binary64))
(/.f64 b a)
(pow.f64 (cbrt.f64 (/.f64 b a)) #s(literal 3 binary64))
(/.f64 b a)
(pow.f64 (pow.f64 (/.f64 b a) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(/.f64 b a)
(pow.f64 (sqrt.f64 (/.f64 b a)) #s(literal 2 binary64))
(/.f64 b a)
(neg.f64 (/.f64 b (neg.f64 a)))
(/.f64 b a)
(neg.f64 (/.f64 (neg.f64 b) a))
(/.f64 b a)
(sqrt.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)))
(fabs.f64 (/.f64 b a))
(log.f64 (exp.f64 (/.f64 b a)))
(/.f64 b a)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 b a))))
(/.f64 b a)
(cbrt.f64 (pow.f64 (/.f64 b a) #s(literal 3 binary64)))
(/.f64 b a)
(expm1.f64 (log1p.f64 (/.f64 b a)))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 b a) #s(literal -1 binary64)))
(+.f64 (/.f64 b a) #s(literal 0 binary64))
(log1p.f64 (expm1.f64 (/.f64 b a)))
(/.f64 b a)
(exp.f64 (log.f64 (/.f64 b a)))
(/.f64 b a)
(exp.f64 (*.f64 (log.f64 (/.f64 b a)) #s(literal 1 binary64)))
(/.f64 b a)

eval116.0ms (0.3%)

Compiler: Compiled 6361 to 1305 computations (79.5% saved)

prune78.0ms (0.2%)

Pruning

9 alts after pruning (3 fresh and 6 done)

	Pruned	Kept	Total
New	545	3	548
Fresh	1	0	1
Picked	1	4	5
Done	0	2	2
Total	547	9	556

Accuracy

100.0%

Counts

556 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(/.f64 (/.f64 (+.f64 a b) b) a)
▶	43.7%	(/.f64 (/.f64 b a) b)
▶	54.9%	(/.f64 (/.f64 a b) a)
✓	99.8%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) b)
✓	29.6%	(/.f64 b (*.f64 a b))
✓	35.1%	(/.f64 a (*.f64 a b))
✓	55.0%	(/.f64 #s(literal 1 binary64) b)
✓	43.8%	(/.f64 #s(literal 1 binary64) a)
✓	99.9%	(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))

Compiler

Compiled 74 to 50 computations (32.4% saved)

simplify8.0ms (0%)

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
	cost-diff	0	(+.f64 a b)
✓	cost-diff	0	(/.f64 (+.f64 a b) b)
✓	cost-diff	0	(/.f64 (/.f64 (+.f64 a b) b) a)
	cost-diff	0	(/.f64 b a)
✓	cost-diff	128	(/.f64 (/.f64 b a) b)
	cost-diff	0	(/.f64 a b)
✓	cost-diff	128	(/.f64 (/.f64 a b) a)

Rules

4×	`associate-/r*`
3×	`1-exp`
3×	`associate-/l/`
2×	`*-inverses`
1×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	160
1	20	160
2	27	136
3	29	136
4	35	136

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (/.f64 a b) a)
(/.f64 a b)
a
b
(/.f64 (/.f64 b a) b)
(/.f64 b a)
b
a
(/.f64 (/.f64 (+.f64 a b) b) a)
(/.f64 (+.f64 a b) b)
(+.f64 a b)
a
b

Outputs
(/.f64 (/.f64 a b) a)
(/.f64 a (*.f64 a b))
(/.f64 #s(literal 1 binary64) b)
(/.f64 a b)
a
b
(/.f64 (/.f64 b a) b)
(/.f64 b (*.f64 b a))
(/.f64 b (*.f64 a b))
(/.f64 #s(literal 1 binary64) a)
(/.f64 b a)
b
a
(/.f64 (/.f64 (+.f64 a b) b) a)
(/.f64 (+.f64 a b) (*.f64 a b))
(/.f64 (+.f64 a b) b)
(+.f64 a b)
a
b

localize44.0ms (0.1%)

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
	accuracy	100.0%	(+.f64 a b)
✓	accuracy	100.0%	(/.f64 (+.f64 a b) b)
✓	accuracy	99.8%	(/.f64 (/.f64 (+.f64 a b) b) a)
	accuracy	100.0%	(/.f64 b a)
✓	accuracy	99.6%	(/.f64 (/.f64 b a) b)
	accuracy	100.0%	(/.f64 a b)
✓	accuracy	99.7%	(/.f64 (/.f64 a b) a)

Results

34.0ms

256×

valid

Compiler

Compiled 41 to 11 computations (73.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-div: 13.0ms (88.8% of total)

ival-add: 1.0ms (6.8% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

series6.0ms (0%)

Counts

4 → 93

Calls

Call 1

Inputs
#<alt (/.f64 (/.f64 a b) a)>
#<alt (/.f64 (/.f64 b a) b)>
#<alt (/.f64 (/.f64 (+.f64 a b) b) a)>
#<alt (/.f64 (+.f64 a b) b)>

Outputs
#<alt (/.f64 #s(literal 1 binary64) b)>
#<alt (/.f64 #s(literal 1 binary64) b)>
#<alt (/.f64 #s(literal 1 binary64) b)>
#<alt (/.f64 #s(literal 1 binary64) b)>
#<alt (/.f64 #s(literal 1 binary64) b)>
#<alt (/.f64 #s(literal 1 binary64) b)>
#<alt (/.f64 #s(literal 1 binary64) b)>
#<alt (/.f64 #s(literal 1 binary64) b)>
#<alt (/.f64 #s(literal 1 binary64) b)>
#<alt (/.f64 #s(literal 1 binary64) b)>
#<alt (/.f64 #s(literal 1 binary64) b)>
#<alt (/.f64 #s(literal 1 binary64) b)>
#<alt (/.f64 #s(literal 1 binary64) b)>
#<alt (/.f64 #s(literal 1 binary64) b)>
#<alt (/.f64 #s(literal 1 binary64) b)>
#<alt (/.f64 #s(literal 1 binary64) b)>
#<alt (/.f64 #s(literal 1 binary64) b)>
#<alt (/.f64 #s(literal 1 binary64) b)>
#<alt (/.f64 #s(literal 1 binary64) b)>
#<alt (/.f64 #s(literal 1 binary64) b)>
#<alt (/.f64 #s(literal 1 binary64) b)>
#<alt (/.f64 #s(literal 1 binary64) b)>
#<alt (/.f64 #s(literal 1 binary64) b)>
#<alt (/.f64 #s(literal 1 binary64) b)>
#<alt (/.f64 #s(literal 1 binary64) a)>
#<alt (/.f64 #s(literal 1 binary64) a)>
#<alt (/.f64 #s(literal 1 binary64) a)>
#<alt (/.f64 #s(literal 1 binary64) a)>
#<alt (/.f64 #s(literal 1 binary64) a)>
#<alt (/.f64 #s(literal 1 binary64) a)>
#<alt (/.f64 #s(literal 1 binary64) a)>
#<alt (/.f64 #s(literal 1 binary64) a)>
#<alt (/.f64 #s(literal 1 binary64) a)>
#<alt (/.f64 #s(literal 1 binary64) a)>
#<alt (/.f64 #s(literal 1 binary64) a)>
#<alt (/.f64 #s(literal 1 binary64) a)>
#<alt (/.f64 #s(literal 1 binary64) a)>
#<alt (/.f64 #s(literal 1 binary64) a)>
#<alt (/.f64 #s(literal 1 binary64) a)>
#<alt (/.f64 #s(literal 1 binary64) a)>
#<alt (/.f64 #s(literal 1 binary64) a)>
#<alt (/.f64 #s(literal 1 binary64) a)>
#<alt (/.f64 #s(literal 1 binary64) a)>
#<alt (/.f64 #s(literal 1 binary64) a)>
#<alt (/.f64 #s(literal 1 binary64) a)>
#<alt (/.f64 #s(literal 1 binary64) a)>
#<alt (/.f64 #s(literal 1 binary64) a)>
#<alt (/.f64 #s(literal 1 binary64) a)>
#<alt (/.f64 #s(literal 1 binary64) a)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)>
#<alt (/.f64 #s(literal 1 binary64) b)>
#<alt (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))>
#<alt (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))>
#<alt (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))>
#<alt (/.f64 #s(literal 1 binary64) b)>
#<alt (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))>
#<alt (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))>
#<alt (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))>
#<alt (/.f64 #s(literal 1 binary64) b)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) b)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) b)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) b)>
#<alt (/.f64 #s(literal 1 binary64) a)>
#<alt (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))>
#<alt (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))>
#<alt (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))>
#<alt (/.f64 #s(literal 1 binary64) a)>
#<alt (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))>
#<alt (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))>
#<alt (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (/.f64 a b))>
#<alt (+.f64 #s(literal 1 binary64) (/.f64 a b))>
#<alt (+.f64 #s(literal 1 binary64) (/.f64 a b))>
#<alt (/.f64 a b)>
#<alt (*.f64 a (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))>
#<alt (*.f64 a (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))>
#<alt (*.f64 a (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))>
#<alt (/.f64 a b)>
#<alt (*.f64 a (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))>
#<alt (*.f64 a (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))>
#<alt (*.f64 a (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))>
#<alt (/.f64 a b)>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (/.f64 a b))>
#<alt (+.f64 #s(literal 1 binary64) (/.f64 a b))>
#<alt (+.f64 #s(literal 1 binary64) (/.f64 a b))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (/.f64 a b))>
#<alt (+.f64 #s(literal 1 binary64) (/.f64 a b))>
#<alt (+.f64 #s(literal 1 binary64) (/.f64 a b))>

Calls

24 calls:

Time	Variable		Point	Expression
0.0ms	b	@	0	(/ (+ a b) b)
0.0ms	a	@	-inf	(/ (+ a b) b)
0.0ms	b	@	-inf	(/ (+ a b) b)
0.0ms	a	@	inf	(/ (+ a b) b)
0.0ms	a	@	0	(/ (+ a b) b)

rewrite139.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

873×	`log1p-expm1-u`
873×	`expm1-log1p-u`
615×	`prod-diff`
105×	`times-frac`
100×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	97
1	224	97
2	3674	97

Stop Event

1×	node limit

Counts

4 → 173

Calls

Call 1

Inputs
(/.f64 (/.f64 a b) a)
(/.f64 (/.f64 b a) b)
(/.f64 (/.f64 (+.f64 a b) b) a)
(/.f64 (+.f64 a b) b)

Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 a (*.f64 a b)))) #s(literal 1 binary64))
(*.f64 a (/.f64 (/.f64 #s(literal 1 binary64) b) a))
(.f64 a (/.f64 #s(literal 1 binary64) (.f64 a b)))
(.f64 a (.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)))
(*.f64 (/.f64 a b) (/.f64 #s(literal 1 binary64) a))
(.f64 (/.f64 a (.f64 a b)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 a (.f64 a b)))
(.f64 (cbrt.f64 (/.f64 a (.f64 a b))) (pow.f64 (cbrt.f64 (/.f64 a (*.f64 a b))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (/.f64 a (.f64 a b))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 a (*.f64 a b))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 a b)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (/.f64 a b)) a))
(.f64 (pow.f64 (cbrt.f64 (/.f64 a b)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (/.f64 a b)) (/.f64 #s(literal 1 binary64) a)))
(.f64 (pow.f64 (cbrt.f64 a) #s(literal 2 binary64)) (/.f64 (cbrt.f64 a) (.f64 a b)))
(.f64 (sqrt.f64 (/.f64 a (.f64 a b))) (sqrt.f64 (/.f64 a (*.f64 a b))))
(*.f64 (sqrt.f64 (/.f64 a b)) (/.f64 (sqrt.f64 (/.f64 a b)) a))
(.f64 (sqrt.f64 (/.f64 a b)) (.f64 (sqrt.f64 (/.f64 a b)) (/.f64 #s(literal 1 binary64) a)))
(.f64 (sqrt.f64 a) (/.f64 (sqrt.f64 a) (.f64 a b)))
(*.f64 (/.f64 a (neg.f64 b)) (/.f64 #s(literal 1 binary64) (neg.f64 a)))
(*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 a b))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 a) #s(literal 2 binary64))) (/.f64 (/.f64 a b) (cbrt.f64 a)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) (/.f64 (/.f64 a b) (sqrt.f64 a)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a) #s(literal 2 binary64)) a) (/.f64 (cbrt.f64 a) b))
(*.f64 (/.f64 (sqrt.f64 a) a) (/.f64 (sqrt.f64 a) b))
(*.f64 (/.f64 a #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) b) a))
(*.f64 (/.f64 a (pow.f64 (cbrt.f64 a) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) b) (cbrt.f64 a)))
(*.f64 (/.f64 a (sqrt.f64 a)) (/.f64 (/.f64 #s(literal 1 binary64) b) (sqrt.f64 a)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 a b)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (/.f64 a b)) a))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 a b)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 a) #s(literal 2 binary64))) (cbrt.f64 (/.f64 a (.f64 a b))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 a b)) #s(literal 2 binary64)) (sqrt.f64 a)) (/.f64 (cbrt.f64 (/.f64 a b)) (sqrt.f64 a)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 a b)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (/.f64 a b)) a))
(*.f64 (/.f64 (sqrt.f64 (/.f64 a b)) (pow.f64 (cbrt.f64 a) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (/.f64 a b)) (cbrt.f64 a)))
(pow.f64 (/.f64 a (*.f64 a b)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 a (*.f64 a b))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 a (*.f64 a b)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 a (*.f64 a b))) #s(literal 2 binary64))
(pow.f64 (*.f64 a (/.f64 b a)) #s(literal -1 binary64))
(neg.f64 (/.f64 (/.f64 a b) (neg.f64 a)))
(neg.f64 (/.f64 (/.f64 a (neg.f64 b)) a))
(sqrt.f64 (pow.f64 (/.f64 a (*.f64 a b)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 a (*.f64 a b))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 a (*.f64 a b)))))
(cbrt.f64 (pow.f64 (/.f64 a (*.f64 a b)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 a b) #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 a (*.f64 a b))))
(log1p.f64 (expm1.f64 (/.f64 a (*.f64 a b))))
(exp.f64 (log.f64 (/.f64 a (*.f64 a b))))
(exp.f64 (.f64 (log.f64 (/.f64 a (.f64 a b))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 b (*.f64 a b)))) #s(literal 1 binary64))
(*.f64 b (/.f64 (/.f64 #s(literal 1 binary64) a) b))
(.f64 b (/.f64 #s(literal 1 binary64) (.f64 a b)))
(.f64 b (.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(*.f64 (/.f64 b a) (/.f64 #s(literal 1 binary64) b))
(.f64 (/.f64 b (.f64 a b)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 b (.f64 a b)))
(.f64 (cbrt.f64 (/.f64 b (.f64 a b))) (pow.f64 (cbrt.f64 (/.f64 b (*.f64 a b))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (/.f64 b (.f64 a b))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 b (*.f64 a b))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 b a)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (/.f64 b a)) b))
(.f64 (pow.f64 (cbrt.f64 (/.f64 b a)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (/.f64 b a)) (/.f64 #s(literal 1 binary64) b)))
(.f64 (pow.f64 (cbrt.f64 b) #s(literal 2 binary64)) (/.f64 (cbrt.f64 b) (.f64 a b)))
(.f64 (sqrt.f64 (/.f64 b (.f64 a b))) (sqrt.f64 (/.f64 b (*.f64 a b))))
(*.f64 (sqrt.f64 (/.f64 b a)) (/.f64 (sqrt.f64 (/.f64 b a)) b))
(.f64 (sqrt.f64 (/.f64 b a)) (.f64 (sqrt.f64 (/.f64 b a)) (/.f64 #s(literal 1 binary64) b)))
(.f64 (sqrt.f64 b) (/.f64 (sqrt.f64 b) (.f64 a b)))
(*.f64 (/.f64 b (neg.f64 a)) (/.f64 #s(literal 1 binary64) (neg.f64 b)))
(*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 b a))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 b) #s(literal 2 binary64))) (/.f64 (/.f64 b a) (cbrt.f64 b)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 b)) (/.f64 (/.f64 b a) (sqrt.f64 b)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 b) #s(literal 2 binary64)) b) (/.f64 (cbrt.f64 b) a))
(*.f64 (/.f64 (sqrt.f64 b) b) (/.f64 (sqrt.f64 b) a))
(*.f64 (/.f64 b #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) a) b))
(*.f64 (/.f64 b (pow.f64 (cbrt.f64 b) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) a) (cbrt.f64 b)))
(*.f64 (/.f64 b (sqrt.f64 b)) (/.f64 (/.f64 #s(literal 1 binary64) a) (sqrt.f64 b)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 b a)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (/.f64 b a)) b))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 b a)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 b) #s(literal 2 binary64))) (cbrt.f64 (/.f64 b (.f64 a b))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 b a)) #s(literal 2 binary64)) (sqrt.f64 b)) (/.f64 (cbrt.f64 (/.f64 b a)) (sqrt.f64 b)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 b a)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (/.f64 b a)) b))
(*.f64 (/.f64 (sqrt.f64 (/.f64 b a)) (pow.f64 (cbrt.f64 b) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (/.f64 b a)) (cbrt.f64 b)))
(pow.f64 (/.f64 b (*.f64 a b)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 b (*.f64 a b))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 b (*.f64 a b)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 b (*.f64 a b))) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 b b) a) #s(literal -1 binary64))
(neg.f64 (/.f64 (/.f64 b a) (neg.f64 b)))
(neg.f64 (/.f64 (/.f64 b (neg.f64 a)) b))
(sqrt.f64 (pow.f64 (/.f64 b (*.f64 a b)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 b (*.f64 a b))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 b (*.f64 a b)))))
(cbrt.f64 (pow.f64 (/.f64 b (*.f64 a b)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 b a) #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 b (*.f64 a b))))
(log1p.f64 (expm1.f64 (/.f64 b (*.f64 a b))))
(exp.f64 (log.f64 (/.f64 b (*.f64 a b))))
(exp.f64 (.f64 (log.f64 (/.f64 b (.f64 a b))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 a b) (*.f64 a b)))) #s(literal 1 binary64))
(*.f64 (+.f64 a b) (/.f64 (/.f64 #s(literal 1 binary64) b) a))
(.f64 (+.f64 a b) (/.f64 #s(literal 1 binary64) (.f64 a b)))
(.f64 (+.f64 a b) (.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)))
(*.f64 (/.f64 (+.f64 a b) b) (/.f64 #s(literal 1 binary64) a))
(.f64 (/.f64 (+.f64 a b) (.f64 a b)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 (+.f64 a b) (.f64 a b)))
(.f64 (cbrt.f64 (/.f64 (+.f64 a b) (.f64 a b))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 a b) (*.f64 a b))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 a b) (.f64 a b))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (+.f64 a b) (*.f64 a b))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 a b) b)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (/.f64 (+.f64 a b) b)) a))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 a b) b)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (/.f64 (+.f64 a b) b)) (/.f64 #s(literal 1 binary64) a)))
(.f64 (pow.f64 (cbrt.f64 (+.f64 a b)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (+.f64 a b)) (.f64 a b)))
(.f64 (sqrt.f64 (/.f64 (+.f64 a b) (.f64 a b))) (sqrt.f64 (/.f64 (+.f64 a b) (*.f64 a b))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 a b) b)) (/.f64 (sqrt.f64 (/.f64 (+.f64 a b) b)) a))
(.f64 (sqrt.f64 (/.f64 (+.f64 a b) b)) (.f64 (sqrt.f64 (/.f64 (+.f64 a b) b)) (/.f64 #s(literal 1 binary64) a)))
(.f64 (sqrt.f64 (+.f64 a b)) (/.f64 (sqrt.f64 (+.f64 a b)) (.f64 a b)))
(*.f64 (/.f64 (+.f64 a b) (neg.f64 b)) (/.f64 #s(literal 1 binary64) (neg.f64 a)))
(*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (+.f64 a b) b))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 a b)) #s(literal 2 binary64)) a) (/.f64 (cbrt.f64 (+.f64 a b)) b))
(*.f64 (/.f64 (sqrt.f64 (+.f64 a b)) a) (/.f64 (sqrt.f64 (+.f64 a b)) b))
(*.f64 (/.f64 (+.f64 a b) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) b) a))
(*.f64 (/.f64 (+.f64 a b) (pow.f64 (cbrt.f64 a) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) b) (cbrt.f64 a)))
(*.f64 (/.f64 (+.f64 a b) (sqrt.f64 a)) (/.f64 (/.f64 #s(literal 1 binary64) b) (sqrt.f64 a)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 a) #s(literal 2 binary64))) (/.f64 (/.f64 (+.f64 a b) b) (cbrt.f64 a)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) (/.f64 (/.f64 (+.f64 a b) b) (sqrt.f64 a)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 a b) b)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (/.f64 (+.f64 a b) b)) a))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 a b) b)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 a) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (+.f64 a b) (.f64 a b))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 a b) b)) #s(literal 2 binary64)) (sqrt.f64 a)) (/.f64 (cbrt.f64 (/.f64 (+.f64 a b) b)) (sqrt.f64 a)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 a b) b)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (/.f64 (+.f64 a b) b)) a))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 a b) b)) (pow.f64 (cbrt.f64 a) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (/.f64 (+.f64 a b) b)) (cbrt.f64 a)))
(pow.f64 (/.f64 (+.f64 a b) (*.f64 a b)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 a b) (*.f64 a b))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (+.f64 a b) (*.f64 a b)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 a b) (*.f64 a b))) #s(literal 2 binary64))
(pow.f64 (*.f64 a (/.f64 b (+.f64 a b))) #s(literal -1 binary64))
(neg.f64 (/.f64 (/.f64 (+.f64 a b) b) (neg.f64 a)))
(neg.f64 (/.f64 (/.f64 (+.f64 a b) (neg.f64 b)) a))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 a b) (*.f64 a b)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (+.f64 a b) (*.f64 a b))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (+.f64 a b) (*.f64 a b)))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 a b) (*.f64 a b)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (+.f64 a b) b) #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 a b) (*.f64 a b))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 a b) (*.f64 a b))))
(exp.f64 (log.f64 (/.f64 (+.f64 a b) (*.f64 a b))))
(exp.f64 (.f64 (log.f64 (/.f64 (+.f64 a b) (.f64 a b))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 a b) b))) #s(literal 1 binary64))
(*.f64 (+.f64 a b) (/.f64 #s(literal 1 binary64) b))
(*.f64 (/.f64 (+.f64 a b) b) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 a b) b))
(*.f64 (cbrt.f64 (/.f64 (+.f64 a b) b)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 a b) b)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 a b) b)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (+.f64 a b) b)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 a b)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (+.f64 a b)) b))
(.f64 (pow.f64 (cbrt.f64 (+.f64 a b)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (+.f64 a b)) (/.f64 #s(literal 1 binary64) b)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 a b) b)) (sqrt.f64 (/.f64 (+.f64 a b) b)))
(*.f64 (sqrt.f64 (+.f64 a b)) (/.f64 (sqrt.f64 (+.f64 a b)) b))
(.f64 (sqrt.f64 (+.f64 a b)) (.f64 (sqrt.f64 (+.f64 a b)) (/.f64 #s(literal 1 binary64) b)))
(*.f64 (neg.f64 (+.f64 a b)) (/.f64 #s(literal 1 binary64) (neg.f64 b)))
(*.f64 (/.f64 #s(literal 1 binary64) b) (+.f64 a b))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 b) #s(literal 2 binary64))) (/.f64 (+.f64 a b) (cbrt.f64 b)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 b)) (/.f64 (+.f64 a b) (sqrt.f64 b)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 a b)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (+.f64 a b)) b))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 a b)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 b) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (+.f64 a b) b)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 a b)) #s(literal 2 binary64)) (sqrt.f64 b)) (/.f64 (cbrt.f64 (+.f64 a b)) (sqrt.f64 b)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 a b)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (+.f64 a b)) b))
(*.f64 (/.f64 (sqrt.f64 (+.f64 a b)) (pow.f64 (cbrt.f64 b) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (+.f64 a b)) (cbrt.f64 b)))
(pow.f64 (/.f64 (+.f64 a b) b) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 a b) b)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (+.f64 a b) b) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 a b) b)) #s(literal 2 binary64))
(pow.f64 (/.f64 b (+.f64 a b)) #s(literal -1 binary64))
(neg.f64 (/.f64 (+.f64 a b) (neg.f64 b)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 a b) b) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (+.f64 a b) b)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (+.f64 a b) b))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 a b) b) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 a b) b)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 a b) b)))
(exp.f64 (log.f64 (/.f64 (+.f64 a b) b)))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 a b) b)) #s(literal 1 binary64)))

simplify102.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

373×	`fma-define`
295×	`distribute-lft-in`
277×	`distribute-rgt-in`
248×	`cube-prod`
238×	`associate-/r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	383	5233
1	884	4876
2	2884	4876

Stop Event

1×	node limit

Counts

266 → 209

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) b)
(/.f64 #s(literal 1 binary64) b)
(/.f64 #s(literal 1 binary64) b)
(/.f64 #s(literal 1 binary64) b)
(/.f64 #s(literal 1 binary64) b)
(/.f64 #s(literal 1 binary64) b)
(/.f64 #s(literal 1 binary64) b)
(/.f64 #s(literal 1 binary64) b)
(/.f64 #s(literal 1 binary64) b)
(/.f64 #s(literal 1 binary64) b)
(/.f64 #s(literal 1 binary64) b)
(/.f64 #s(literal 1 binary64) b)
(/.f64 #s(literal 1 binary64) b)
(/.f64 #s(literal 1 binary64) b)
(/.f64 #s(literal 1 binary64) b)
(/.f64 #s(literal 1 binary64) b)
(/.f64 #s(literal 1 binary64) b)
(/.f64 #s(literal 1 binary64) b)
(/.f64 #s(literal 1 binary64) b)
(/.f64 #s(literal 1 binary64) b)
(/.f64 #s(literal 1 binary64) b)
(/.f64 #s(literal 1 binary64) b)
(/.f64 #s(literal 1 binary64) b)
(/.f64 #s(literal 1 binary64) b)
(/.f64 #s(literal 1 binary64) a)
(/.f64 #s(literal 1 binary64) a)
(/.f64 #s(literal 1 binary64) a)
(/.f64 #s(literal 1 binary64) a)
(/.f64 #s(literal 1 binary64) a)
(/.f64 #s(literal 1 binary64) a)
(/.f64 #s(literal 1 binary64) a)
(/.f64 #s(literal 1 binary64) a)
(/.f64 #s(literal 1 binary64) a)
(/.f64 #s(literal 1 binary64) a)
(/.f64 #s(literal 1 binary64) a)
(/.f64 #s(literal 1 binary64) a)
(/.f64 #s(literal 1 binary64) a)
(/.f64 #s(literal 1 binary64) a)
(/.f64 #s(literal 1 binary64) a)
(/.f64 #s(literal 1 binary64) a)
(/.f64 #s(literal 1 binary64) a)
(/.f64 #s(literal 1 binary64) a)
(/.f64 #s(literal 1 binary64) a)
(/.f64 #s(literal 1 binary64) a)
(/.f64 #s(literal 1 binary64) a)
(/.f64 #s(literal 1 binary64) a)
(/.f64 #s(literal 1 binary64) a)
(/.f64 #s(literal 1 binary64) a)
(/.f64 #s(literal 1 binary64) a)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)
(/.f64 #s(literal 1 binary64) b)
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(/.f64 #s(literal 1 binary64) b)
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(/.f64 #s(literal 1 binary64) b)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) b)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) b)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) b)
(/.f64 #s(literal 1 binary64) a)
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(/.f64 #s(literal 1 binary64) a)
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (/.f64 a b))
(+.f64 #s(literal 1 binary64) (/.f64 a b))
(+.f64 #s(literal 1 binary64) (/.f64 a b))
(/.f64 a b)
(*.f64 a (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(*.f64 a (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(*.f64 a (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(/.f64 a b)
(*.f64 a (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(*.f64 a (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(*.f64 a (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(/.f64 a b)
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (/.f64 a b))
(+.f64 #s(literal 1 binary64) (/.f64 a b))
(+.f64 #s(literal 1 binary64) (/.f64 a b))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (/.f64 a b))
(+.f64 #s(literal 1 binary64) (/.f64 a b))
(+.f64 #s(literal 1 binary64) (/.f64 a b))
(-.f64 (exp.f64 (log1p.f64 (/.f64 a (*.f64 a b)))) #s(literal 1 binary64))
(*.f64 a (/.f64 (/.f64 #s(literal 1 binary64) b) a))
(.f64 a (/.f64 #s(literal 1 binary64) (.f64 a b)))
(.f64 a (.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)))
(*.f64 (/.f64 a b) (/.f64 #s(literal 1 binary64) a))
(.f64 (/.f64 a (.f64 a b)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 a (.f64 a b)))
(.f64 (cbrt.f64 (/.f64 a (.f64 a b))) (pow.f64 (cbrt.f64 (/.f64 a (*.f64 a b))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (/.f64 a (.f64 a b))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 a (*.f64 a b))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 a b)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (/.f64 a b)) a))
(.f64 (pow.f64 (cbrt.f64 (/.f64 a b)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (/.f64 a b)) (/.f64 #s(literal 1 binary64) a)))
(.f64 (pow.f64 (cbrt.f64 a) #s(literal 2 binary64)) (/.f64 (cbrt.f64 a) (.f64 a b)))
(.f64 (sqrt.f64 (/.f64 a (.f64 a b))) (sqrt.f64 (/.f64 a (*.f64 a b))))
(*.f64 (sqrt.f64 (/.f64 a b)) (/.f64 (sqrt.f64 (/.f64 a b)) a))
(.f64 (sqrt.f64 (/.f64 a b)) (.f64 (sqrt.f64 (/.f64 a b)) (/.f64 #s(literal 1 binary64) a)))
(.f64 (sqrt.f64 a) (/.f64 (sqrt.f64 a) (.f64 a b)))
(*.f64 (/.f64 a (neg.f64 b)) (/.f64 #s(literal 1 binary64) (neg.f64 a)))
(*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 a b))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 a) #s(literal 2 binary64))) (/.f64 (/.f64 a b) (cbrt.f64 a)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) (/.f64 (/.f64 a b) (sqrt.f64 a)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a) #s(literal 2 binary64)) a) (/.f64 (cbrt.f64 a) b))
(*.f64 (/.f64 (sqrt.f64 a) a) (/.f64 (sqrt.f64 a) b))
(*.f64 (/.f64 a #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) b) a))
(*.f64 (/.f64 a (pow.f64 (cbrt.f64 a) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) b) (cbrt.f64 a)))
(*.f64 (/.f64 a (sqrt.f64 a)) (/.f64 (/.f64 #s(literal 1 binary64) b) (sqrt.f64 a)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 a b)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (/.f64 a b)) a))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 a b)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 a) #s(literal 2 binary64))) (cbrt.f64 (/.f64 a (.f64 a b))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 a b)) #s(literal 2 binary64)) (sqrt.f64 a)) (/.f64 (cbrt.f64 (/.f64 a b)) (sqrt.f64 a)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 a b)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (/.f64 a b)) a))
(*.f64 (/.f64 (sqrt.f64 (/.f64 a b)) (pow.f64 (cbrt.f64 a) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (/.f64 a b)) (cbrt.f64 a)))
(pow.f64 (/.f64 a (*.f64 a b)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 a (*.f64 a b))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 a (*.f64 a b)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 a (*.f64 a b))) #s(literal 2 binary64))
(pow.f64 (*.f64 a (/.f64 b a)) #s(literal -1 binary64))
(neg.f64 (/.f64 (/.f64 a b) (neg.f64 a)))
(neg.f64 (/.f64 (/.f64 a (neg.f64 b)) a))
(sqrt.f64 (pow.f64 (/.f64 a (*.f64 a b)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 a (*.f64 a b))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 a (*.f64 a b)))))
(cbrt.f64 (pow.f64 (/.f64 a (*.f64 a b)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 a b) #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 a (*.f64 a b))))
(log1p.f64 (expm1.f64 (/.f64 a (*.f64 a b))))
(exp.f64 (log.f64 (/.f64 a (*.f64 a b))))
(exp.f64 (.f64 (log.f64 (/.f64 a (.f64 a b))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 b (*.f64 a b)))) #s(literal 1 binary64))
(*.f64 b (/.f64 (/.f64 #s(literal 1 binary64) a) b))
(.f64 b (/.f64 #s(literal 1 binary64) (.f64 a b)))
(.f64 b (.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(*.f64 (/.f64 b a) (/.f64 #s(literal 1 binary64) b))
(.f64 (/.f64 b (.f64 a b)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 b (.f64 a b)))
(.f64 (cbrt.f64 (/.f64 b (.f64 a b))) (pow.f64 (cbrt.f64 (/.f64 b (*.f64 a b))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (/.f64 b (.f64 a b))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 b (*.f64 a b))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 b a)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (/.f64 b a)) b))
(.f64 (pow.f64 (cbrt.f64 (/.f64 b a)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (/.f64 b a)) (/.f64 #s(literal 1 binary64) b)))
(.f64 (pow.f64 (cbrt.f64 b) #s(literal 2 binary64)) (/.f64 (cbrt.f64 b) (.f64 a b)))
(.f64 (sqrt.f64 (/.f64 b (.f64 a b))) (sqrt.f64 (/.f64 b (*.f64 a b))))
(*.f64 (sqrt.f64 (/.f64 b a)) (/.f64 (sqrt.f64 (/.f64 b a)) b))
(.f64 (sqrt.f64 (/.f64 b a)) (.f64 (sqrt.f64 (/.f64 b a)) (/.f64 #s(literal 1 binary64) b)))
(.f64 (sqrt.f64 b) (/.f64 (sqrt.f64 b) (.f64 a b)))
(*.f64 (/.f64 b (neg.f64 a)) (/.f64 #s(literal 1 binary64) (neg.f64 b)))
(*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 b a))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 b) #s(literal 2 binary64))) (/.f64 (/.f64 b a) (cbrt.f64 b)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 b)) (/.f64 (/.f64 b a) (sqrt.f64 b)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 b) #s(literal 2 binary64)) b) (/.f64 (cbrt.f64 b) a))
(*.f64 (/.f64 (sqrt.f64 b) b) (/.f64 (sqrt.f64 b) a))
(*.f64 (/.f64 b #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) a) b))
(*.f64 (/.f64 b (pow.f64 (cbrt.f64 b) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) a) (cbrt.f64 b)))
(*.f64 (/.f64 b (sqrt.f64 b)) (/.f64 (/.f64 #s(literal 1 binary64) a) (sqrt.f64 b)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 b a)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (/.f64 b a)) b))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 b a)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 b) #s(literal 2 binary64))) (cbrt.f64 (/.f64 b (.f64 a b))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 b a)) #s(literal 2 binary64)) (sqrt.f64 b)) (/.f64 (cbrt.f64 (/.f64 b a)) (sqrt.f64 b)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 b a)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (/.f64 b a)) b))
(*.f64 (/.f64 (sqrt.f64 (/.f64 b a)) (pow.f64 (cbrt.f64 b) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (/.f64 b a)) (cbrt.f64 b)))
(pow.f64 (/.f64 b (*.f64 a b)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 b (*.f64 a b))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 b (*.f64 a b)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 b (*.f64 a b))) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 b b) a) #s(literal -1 binary64))
(neg.f64 (/.f64 (/.f64 b a) (neg.f64 b)))
(neg.f64 (/.f64 (/.f64 b (neg.f64 a)) b))
(sqrt.f64 (pow.f64 (/.f64 b (*.f64 a b)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 b (*.f64 a b))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 b (*.f64 a b)))))
(cbrt.f64 (pow.f64 (/.f64 b (*.f64 a b)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 b a) #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 b (*.f64 a b))))
(log1p.f64 (expm1.f64 (/.f64 b (*.f64 a b))))
(exp.f64 (log.f64 (/.f64 b (*.f64 a b))))
(exp.f64 (.f64 (log.f64 (/.f64 b (.f64 a b))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 a b) (*.f64 a b)))) #s(literal 1 binary64))
(*.f64 (+.f64 a b) (/.f64 (/.f64 #s(literal 1 binary64) b) a))
(.f64 (+.f64 a b) (/.f64 #s(literal 1 binary64) (.f64 a b)))
(.f64 (+.f64 a b) (.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)))
(*.f64 (/.f64 (+.f64 a b) b) (/.f64 #s(literal 1 binary64) a))
(.f64 (/.f64 (+.f64 a b) (.f64 a b)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 (+.f64 a b) (.f64 a b)))
(.f64 (cbrt.f64 (/.f64 (+.f64 a b) (.f64 a b))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 a b) (*.f64 a b))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 a b) (.f64 a b))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (+.f64 a b) (*.f64 a b))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 a b) b)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (/.f64 (+.f64 a b) b)) a))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 a b) b)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (/.f64 (+.f64 a b) b)) (/.f64 #s(literal 1 binary64) a)))
(.f64 (pow.f64 (cbrt.f64 (+.f64 a b)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (+.f64 a b)) (.f64 a b)))
(.f64 (sqrt.f64 (/.f64 (+.f64 a b) (.f64 a b))) (sqrt.f64 (/.f64 (+.f64 a b) (*.f64 a b))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 a b) b)) (/.f64 (sqrt.f64 (/.f64 (+.f64 a b) b)) a))
(.f64 (sqrt.f64 (/.f64 (+.f64 a b) b)) (.f64 (sqrt.f64 (/.f64 (+.f64 a b) b)) (/.f64 #s(literal 1 binary64) a)))
(.f64 (sqrt.f64 (+.f64 a b)) (/.f64 (sqrt.f64 (+.f64 a b)) (.f64 a b)))
(*.f64 (/.f64 (+.f64 a b) (neg.f64 b)) (/.f64 #s(literal 1 binary64) (neg.f64 a)))
(*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (+.f64 a b) b))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 a b)) #s(literal 2 binary64)) a) (/.f64 (cbrt.f64 (+.f64 a b)) b))
(*.f64 (/.f64 (sqrt.f64 (+.f64 a b)) a) (/.f64 (sqrt.f64 (+.f64 a b)) b))
(*.f64 (/.f64 (+.f64 a b) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) b) a))
(*.f64 (/.f64 (+.f64 a b) (pow.f64 (cbrt.f64 a) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) b) (cbrt.f64 a)))
(*.f64 (/.f64 (+.f64 a b) (sqrt.f64 a)) (/.f64 (/.f64 #s(literal 1 binary64) b) (sqrt.f64 a)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 a) #s(literal 2 binary64))) (/.f64 (/.f64 (+.f64 a b) b) (cbrt.f64 a)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) (/.f64 (/.f64 (+.f64 a b) b) (sqrt.f64 a)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 a b) b)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (/.f64 (+.f64 a b) b)) a))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 a b) b)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 a) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (+.f64 a b) (.f64 a b))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 a b) b)) #s(literal 2 binary64)) (sqrt.f64 a)) (/.f64 (cbrt.f64 (/.f64 (+.f64 a b) b)) (sqrt.f64 a)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 a b) b)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (/.f64 (+.f64 a b) b)) a))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 a b) b)) (pow.f64 (cbrt.f64 a) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (/.f64 (+.f64 a b) b)) (cbrt.f64 a)))
(pow.f64 (/.f64 (+.f64 a b) (*.f64 a b)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 a b) (*.f64 a b))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (+.f64 a b) (*.f64 a b)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 a b) (*.f64 a b))) #s(literal 2 binary64))
(pow.f64 (*.f64 a (/.f64 b (+.f64 a b))) #s(literal -1 binary64))
(neg.f64 (/.f64 (/.f64 (+.f64 a b) b) (neg.f64 a)))
(neg.f64 (/.f64 (/.f64 (+.f64 a b) (neg.f64 b)) a))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 a b) (*.f64 a b)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (+.f64 a b) (*.f64 a b))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (+.f64 a b) (*.f64 a b)))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 a b) (*.f64 a b)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (+.f64 a b) b) #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 a b) (*.f64 a b))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 a b) (*.f64 a b))))
(exp.f64 (log.f64 (/.f64 (+.f64 a b) (*.f64 a b))))
(exp.f64 (.f64 (log.f64 (/.f64 (+.f64 a b) (.f64 a b))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 a b) b))) #s(literal 1 binary64))
(*.f64 (+.f64 a b) (/.f64 #s(literal 1 binary64) b))
(*.f64 (/.f64 (+.f64 a b) b) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 a b) b))
(*.f64 (cbrt.f64 (/.f64 (+.f64 a b) b)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 a b) b)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 a b) b)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (+.f64 a b) b)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 a b)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (+.f64 a b)) b))
(.f64 (pow.f64 (cbrt.f64 (+.f64 a b)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (+.f64 a b)) (/.f64 #s(literal 1 binary64) b)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 a b) b)) (sqrt.f64 (/.f64 (+.f64 a b) b)))
(*.f64 (sqrt.f64 (+.f64 a b)) (/.f64 (sqrt.f64 (+.f64 a b)) b))
(.f64 (sqrt.f64 (+.f64 a b)) (.f64 (sqrt.f64 (+.f64 a b)) (/.f64 #s(literal 1 binary64) b)))
(*.f64 (neg.f64 (+.f64 a b)) (/.f64 #s(literal 1 binary64) (neg.f64 b)))
(*.f64 (/.f64 #s(literal 1 binary64) b) (+.f64 a b))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 b) #s(literal 2 binary64))) (/.f64 (+.f64 a b) (cbrt.f64 b)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 b)) (/.f64 (+.f64 a b) (sqrt.f64 b)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 a b)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (+.f64 a b)) b))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 a b)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 b) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (+.f64 a b) b)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 a b)) #s(literal 2 binary64)) (sqrt.f64 b)) (/.f64 (cbrt.f64 (+.f64 a b)) (sqrt.f64 b)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 a b)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (+.f64 a b)) b))
(*.f64 (/.f64 (sqrt.f64 (+.f64 a b)) (pow.f64 (cbrt.f64 b) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (+.f64 a b)) (cbrt.f64 b)))
(pow.f64 (/.f64 (+.f64 a b) b) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 a b) b)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (+.f64 a b) b) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 a b) b)) #s(literal 2 binary64))
(pow.f64 (/.f64 b (+.f64 a b)) #s(literal -1 binary64))
(neg.f64 (/.f64 (+.f64 a b) (neg.f64 b)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 a b) b) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (+.f64 a b) b)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (+.f64 a b) b))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 a b) b) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 a b) b)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 a b) b)))
(exp.f64 (log.f64 (/.f64 (+.f64 a b) b)))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 a b) b)) #s(literal 1 binary64)))

Outputs
(/.f64 #s(literal 1 binary64) b)
(/.f64 #s(literal 1 binary64) b)
(/.f64 #s(literal 1 binary64) b)
(/.f64 #s(literal 1 binary64) b)
(/.f64 #s(literal 1 binary64) b)
(/.f64 #s(literal 1 binary64) b)
(/.f64 #s(literal 1 binary64) b)
(/.f64 #s(literal 1 binary64) b)
(/.f64 #s(literal 1 binary64) b)
(/.f64 #s(literal 1 binary64) b)
(/.f64 #s(literal 1 binary64) b)
(/.f64 #s(literal 1 binary64) b)
(/.f64 #s(literal 1 binary64) b)
(/.f64 #s(literal 1 binary64) b)
(/.f64 #s(literal 1 binary64) b)
(/.f64 #s(literal 1 binary64) b)
(/.f64 #s(literal 1 binary64) b)
(/.f64 #s(literal 1 binary64) b)
(/.f64 #s(literal 1 binary64) b)
(/.f64 #s(literal 1 binary64) b)
(/.f64 #s(literal 1 binary64) b)
(/.f64 #s(literal 1 binary64) b)
(/.f64 #s(literal 1 binary64) b)
(/.f64 #s(literal 1 binary64) b)
(/.f64 #s(literal 1 binary64) a)
(/.f64 #s(literal 1 binary64) a)
(/.f64 #s(literal 1 binary64) a)
(/.f64 #s(literal 1 binary64) a)
(/.f64 #s(literal 1 binary64) a)
(/.f64 #s(literal 1 binary64) a)
(/.f64 #s(literal 1 binary64) a)
(/.f64 #s(literal 1 binary64) a)
(/.f64 #s(literal 1 binary64) a)
(/.f64 #s(literal 1 binary64) a)
(/.f64 #s(literal 1 binary64) a)
(/.f64 #s(literal 1 binary64) a)
(/.f64 #s(literal 1 binary64) a)
(/.f64 #s(literal 1 binary64) a)
(/.f64 #s(literal 1 binary64) a)
(/.f64 #s(literal 1 binary64) a)
(/.f64 #s(literal 1 binary64) a)
(/.f64 #s(literal 1 binary64) a)
(/.f64 #s(literal 1 binary64) a)
(/.f64 #s(literal 1 binary64) a)
(/.f64 #s(literal 1 binary64) a)
(/.f64 #s(literal 1 binary64) a)
(/.f64 #s(literal 1 binary64) a)
(/.f64 #s(literal 1 binary64) a)
(/.f64 #s(literal 1 binary64) a)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))
(/.f64 #s(literal 1 binary64) b)
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))
(/.f64 #s(literal 1 binary64) b)
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))
(/.f64 #s(literal 1 binary64) b)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) b)
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(*.f64 (/.f64 #s(literal 1 binary64) b) (+.f64 a b))
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(sqrt.f64 (pow.f64 (/.f64 (+.f64 a b) b) #s(literal 2 binary64)))
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(log.f64 (exp.f64 (/.f64 (+.f64 a b) b)))
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(log1p.f64 (expm1.f64 (/.f64 (+.f64 a b) b)))
(+.f64 #s(literal 1 binary64) (/.f64 a b))
(exp.f64 (log.f64 (/.f64 (+.f64 a b) b)))
(+.f64 #s(literal 1 binary64) (/.f64 a b))
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eval193.0ms (0.4%)

Compiler: Compiled 4042 to 934 computations (76.9% saved)

prune60.0ms (0.1%)

Pruning

9 alts after pruning (0 fresh and 9 done)

	Pruned	Kept	Total
New	356	0	356
Fresh	0	0	0
Picked	0	3	3
Done	0	6	6
Total	356	9	365

Accuracy

100.0%

Counts

365 → 9

Alt Table

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Status	Accuracy	Program
✓	99.8%	(/.f64 (/.f64 (+.f64 a b) b) a)
✓	43.7%	(/.f64 (/.f64 b a) b)
✓	54.9%	(/.f64 (/.f64 a b) a)
✓	99.8%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) b)
✓	29.6%	(/.f64 b (*.f64 a b))
✓	35.1%	(/.f64 a (*.f64 a b))
✓	55.0%	(/.f64 #s(literal 1 binary64) b)
✓	43.8%	(/.f64 #s(literal 1 binary64) a)
✓	99.9%	(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))

Compiler

Compiled 288 to 125 computations (56.6% saved)

regimes26.0ms (0.1%)

Counts

19 → 1

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) a)
(/.f64 #s(literal 1 binary64) b)
(/.f64 a (*.f64 a b))
(/.f64 b (*.f64 a b))
(/.f64 (/.f64 a b) a)
(/.f64 (/.f64 b a) b)
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) b)
(/.f64 (+.f64 a b) (*.f64 a b))
(/.f64 (/.f64 (+.f64 a b) b) a)
(/.f64 #s(literal 1 binary64) (*.f64 a (/.f64 b (+.f64 a b))))
(.f64 (/.f64 eps (expm1.f64 (.f64 eps b))) (/.f64 (+.f64 a b) a))
(.f64 (/.f64 eps (expm1.f64 (.f64 eps b))) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 eps (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a)) (*.f64 #s(literal 1/2 binary64) (+.f64 a b)))) (/.f64 b a))))
(.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (/.f64 eps (.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps b)))))
(.f64 (/.f64 eps (expm1.f64 (.f64 eps b))) (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (expm1.f64 (.f64 eps a))))
(/.f64 (/.f64 eps (expm1.f64 (.f64 eps b))) (/.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (*.f64 eps (+.f64 a b)))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 (.f64 eps (/.f64 (pow.f64 (exp.f64 a) eps) (expm1.f64 (.f64 a eps)))) (.f64 eps #s(literal -1/2 binary64))))) b)
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))

Outputs
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))

Calls

4 calls:

9.0ms	a
6.0ms	eps
6.0ms	b
4.0ms	(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))

Results

Accuracy	Segments	Branch
99.9%	1	`a`
99.9%	1	`b`
99.9%	1	`eps`
99.9%	1	`(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))`

Compiler

Compiled 39 to 26 computations (33.3% saved)

regimes8.0ms (0%)

Counts

6 → 2

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) a)
(/.f64 #s(literal 1 binary64) b)
(/.f64 a (*.f64 a b))
(/.f64 b (*.f64 a b))
(/.f64 (/.f64 a b) a)
(/.f64 (/.f64 b a) b)

Outputs
(/.f64 #s(literal 1 binary64) b)
(/.f64 #s(literal 1 binary64) a)

Calls

3 calls:

3.0ms	b
3.0ms	eps
2.0ms	a

Results

Accuracy	Segments	Branch
84.4%	2	`a`
79.5%	2	`b`
60.6%	3	`eps`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes4.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) a)

Outputs
(/.f64 #s(literal 1 binary64) a)

Calls

3 calls:

1.0ms	a
1.0ms	eps
1.0ms	b

Results

Accuracy	Segments	Branch
43.8%	1	`eps`
43.8%	1	`b`
43.8%	1	`a`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch163.0ms (0.4%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
158.0ms	-1.2940466895413633e-196	-1.909673593808562e-199

Results

98.0ms	108×	2	valid
55.0ms	20×	1	valid

Compiler

Compiled 145 to 118 computations (18.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 141.0ms

ival-exp: 113.0ms (80.3% of total)

ival-mult: 12.0ms (8.5% of total)

ival-sub: 6.0ms (4.3% of total)

backward-pass: 5.0ms (3.6% of total)

ival-div: 2.0ms (1.4% of total)

ival-add: 2.0ms (1.4% of total)

const: 0.0ms (0% of total)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

3×	`1-exp`
1×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	67
1	24	67

Stop Event

1×

saturated

Calls

Call 1

Inputs

(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))

(if (<=.f64 a #s(literal -662777123595095/5260135901548373507240989882880128665550339802823173859498280903068732154297080822113666536277588451226982968856178217713019432250183803863127814770651880849955223671128444598191663757884322717271293251735781376 binary64)) (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))

(/.f64 #s(literal 1 binary64) a)

Outputs

(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))

(if (<=.f64 a #s(literal -662777123595095/5260135901548373507240989882880128665550339802823173859498280903068732154297080822113666536277588451226982968856178217713019432250183803863127814770651880849955223671128444598191663757884322717271293251735781376 binary64)) (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))

(/.f64 #s(literal 1 binary64) a)

soundness126.0ms (0.3%)

Rules

662×	`times-frac`
578×	`div-sub`
499×	`fma-define`
425×	`distribute-lft-in`
424×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	95	937
1	292	921
2	754	921
3	2307	921
4	7707	921

Stop Event

1×	done
1×	node limit

Compiler

Compiled 218 to 54 computations (75.2% saved)

preprocess34.0ms (0.1%)

Remove: (sort a b)
Compiler: Compiled 180 to 110 computations (38.9% saved)

analyze438.0ms (1%)

sample37.7s (86.4%)

preprocess110.0ms (0.3%)

explain670.0ms (1.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify474.0ms (1.1%)

localize86.0ms (0.2%)

series93.0ms (0.2%)

rewrite357.0ms (0.8%)

simplify341.0ms (0.8%)

eval215.0ms (0.5%)

prune119.0ms (0.3%)

simplify70.0ms (0.2%)

localize394.0ms (0.9%)

series61.0ms (0.1%)

rewrite135.0ms (0.3%)

simplify421.0ms (1%)

eval169.0ms (0.4%)

prune174.0ms (0.4%)

simplify9.0ms (0%)

localize100.0ms (0.2%)

series18.0ms (0%)

rewrite189.0ms (0.4%)

simplify200.0ms (0.5%)

eval116.0ms (0.3%)

prune78.0ms (0.2%)

simplify8.0ms (0%)

localize44.0ms (0.1%)

series6.0ms (0%)

rewrite139.0ms (0.3%)

simplify102.0ms (0.2%)

eval193.0ms (0.4%)

prune60.0ms (0.1%)

regimes26.0ms (0.1%)

regimes8.0ms (0%)

regimes4.0ms (0%)

bsearch163.0ms (0.4%)

simplify2.0ms (0%)

soundness126.0ms (0.3%)

preprocess34.0ms (0.1%)

end0.0ms (0%)

Profiling