Details

analyze67.0ms (1.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
37.5%	62.4%	0.1%	6
50%	46.8%	3.2%	7
59.3%	35.9%	4.8%	8
67.1%	25.8%	7.1%	9
72.6%	19.1%	8.3%	10
76.9%	13.5%	9.7%	11
79.8%	9.9%	10.3%	12

Compiler

Compiled 12 to 9 computations (25% saved)

sample1.7s (34%)

Results

1.0s	6785×	body	256	valid
422.0ms	689×	body	1024	valid
235.0ms	777×	body	512	valid
25.0ms	219×	body	256	invalid
3.0ms	5×	body	2048	valid

preprocess80.0ms (1.6%)

Algorithm

2×	egg-herbie

Rules

1017×	`fma-def_binary64`
740×	`unsub-neg_binary64`
526×	`sub-neg_binary64`
423×	`distribute-neg-in_binary64`
374×	`associate--r+_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	26
1	19	22
2	42	22
3	132	22
4	512	16
5	2325	16
6	5811	16
0	2	2

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs
(+.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y)))
(+.f64 y (*.f64 (-.f64 1 y) (-.f64 1 x)))

Outputs
(+.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y)))
(fma.f64 (-.f64 1 x) (-.f64 1 y) x)
(fma.f64 x y (-.f64 1 y))
(-.f64 (fma.f64 x y 1) y)
(fma.f64 y (+.f64 x -1) 1)
(+.f64 y (*.f64 (-.f64 1 y) (-.f64 1 x)))
(+.f64 y (*.f64 (-.f64 1 x) (-.f64 1 y)))
(fma.f64 (-.f64 1 x) (-.f64 1 y) y)
(fma.f64 x y (-.f64 1 x))
(-.f64 (fma.f64 x y 1) x)

Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify175.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

850×	`unsub-neg_binary64`
737×	`fma-def_binary64`
388×	`sub-neg_binary64`
382×	`distribute-neg-in_binary64`
267×	`+-commutative_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	16	11
2	37	11
3	113	11
4	409	8
5	1773	8
6	4157	8
7	5814	8
8	6531	8
9	6794	8
10	6952	8
11	7050	8
12	7213	8
13	7599	8
14	7812	8
15	7964	8

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

Inputs
(+.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y)))

Outputs
(+.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y)))
(fma.f64 (-.f64 1 x) (-.f64 1 y) x)
(fma.f64 x y (-.f64 1 y))
(-.f64 (fma.f64 x y 1) y)

eval1.0ms (0%)

Compiler: Compiled 17 to 11 computations (35.3% saved)

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	16.9b	(+.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y)))
▶	0b	(-.f64 (fma.f64 x y 1) y)

Compiler

Compiled 19 to 13 computations (31.6% saved)

localize16.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (-.f64 1 x) (-.f64 1 y))
✓	3.8b	(+.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y)))

Compiler

Compiled 27 to 18 computations (33.3% saved)

series5.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(+.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y)))
1.0ms	x	@	0	(+.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y)))
1.0ms	y	@	-inf	(+.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y)))
1.0ms	x	@	-inf	(+.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y)))
1.0ms	y	@	inf	(+.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y)))

rewrite96.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

433×	`log-prod_binary64`
394×	`prod-exp_binary64`
356×	`fma-def_binary64`
329×	`exp-prod_binary64`
323×	`pow-prod-down_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	23
1	180	21
2	2620	21

Stop Event

1×	node limit

Counts

2 → 144

Calls

Call 1

Inputs
(+.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y)))
(*.f64 (-.f64 1 x) (-.f64 1 y))

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

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(/.f64 1 (+.f64 1 (fma.f64 x x x))) (*.f64 (neg.f64 y) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (pow.f64 x 3)) (/.f64 1 (+.f64 1 (fma.f64 x x x))) (*.f64 (-.f64 1 x) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (*.f64 y y)) (/.f64 1 (+.f64 1 y)) (*.f64 (neg.f64 x) (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (*.f64 y y)) (/.f64 1 (+.f64 1 y)) (*.f64 (-.f64 1 y) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (*.f64 x x)) (/.f64 1 (+.f64 x 1)) (*.f64 (neg.f64 y) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (*.f64 x x)) (/.f64 1 (+.f64 x 1)) (*.f64 (-.f64 1 x) (neg.f64 y)))))))

simplify206.0ms (4%)

Algorithm

1×	egg-herbie

Rules

837×	`unsub-neg_binary64`
614×	`fma-neg_binary64`
550×	`distribute-neg-in_binary64`
499×	`sub-neg_binary64`
452×	`associate--l-_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	25	667
1	63	573
2	163	387
3	446	387
4	1496	387
5	3795	387
6	5351	387
7	6675	387
8	7052	387
9	7218	387
10	7276	387
11	7351	387
12	7932	387

Stop Event

1×	node limit

Counts

192 → 162

Calls

Call 1

Inputs
(-.f64 1 y)
(-.f64 (+.f64 1 (.f64 (+.f64 1 (.f64 -1 (-.f64 1 y))) x)) y)
(-.f64 (+.f64 1 (.f64 (+.f64 1 (.f64 -1 (-.f64 1 y))) x)) y)
(-.f64 (+.f64 1 (.f64 (+.f64 1 (.f64 -1 (-.f64 1 y))) x)) y)
(.f64 (+.f64 1 (.f64 -1 (-.f64 1 y))) x)
(-.f64 (+.f64 1 (.f64 (+.f64 1 (.f64 -1 (-.f64 1 y))) x)) y)
(-.f64 (+.f64 1 (.f64 (+.f64 1 (.f64 -1 (-.f64 1 y))) x)) y)
(-.f64 (+.f64 1 (.f64 (+.f64 1 (.f64 -1 (-.f64 1 y))) x)) y)
(*.f64 y x)
(-.f64 (+.f64 1 (*.f64 y x)) y)
(-.f64 (+.f64 1 (*.f64 y x)) y)
(-.f64 (+.f64 1 (*.f64 y x)) y)
1
(+.f64 1 (.f64 -1 (.f64 y (-.f64 1 x))))
(+.f64 1 (.f64 -1 (.f64 y (-.f64 1 x))))
(+.f64 1 (.f64 -1 (.f64 y (-.f64 1 x))))
(.f64 -1 (.f64 y (-.f64 1 x)))
(+.f64 1 (.f64 -1 (.f64 y (-.f64 1 x))))
(+.f64 1 (.f64 -1 (.f64 y (-.f64 1 x))))
(+.f64 1 (.f64 -1 (.f64 y (-.f64 1 x))))
(.f64 -1 (.f64 y (-.f64 1 x)))
(+.f64 1 (.f64 -1 (.f64 y (-.f64 1 x))))
(+.f64 1 (.f64 -1 (.f64 y (-.f64 1 x))))
(+.f64 1 (.f64 -1 (.f64 y (-.f64 1 x))))
(-.f64 1 y)
(-.f64 (+.f64 (.f64 -1 (.f64 (-.f64 1 y) x)) 1) y)
(-.f64 (+.f64 (.f64 -1 (.f64 (-.f64 1 y) x)) 1) y)
(-.f64 (+.f64 (.f64 -1 (.f64 (-.f64 1 y) x)) 1) y)
(.f64 -1 (.f64 (-.f64 1 y) x))
(-.f64 (+.f64 1 (.f64 -1 (.f64 (-.f64 1 y) x))) y)
(-.f64 (+.f64 1 (.f64 -1 (.f64 (-.f64 1 y) x))) y)
(-.f64 (+.f64 1 (.f64 -1 (.f64 (-.f64 1 y) x))) y)
(.f64 -1 (.f64 (-.f64 1 y) x))
(-.f64 (+.f64 1 (.f64 -1 (.f64 (-.f64 1 y) x))) y)
(-.f64 (+.f64 1 (.f64 -1 (.f64 (-.f64 1 y) x))) y)
(-.f64 (+.f64 1 (.f64 -1 (.f64 (-.f64 1 y) x))) y)
(-.f64 1 x)
(-.f64 (+.f64 1 (.f64 -1 (.f64 y (-.f64 1 x)))) x)
(-.f64 (+.f64 1 (.f64 -1 (.f64 y (-.f64 1 x)))) x)
(-.f64 (+.f64 1 (.f64 -1 (.f64 y (-.f64 1 x)))) x)
(.f64 -1 (.f64 y (-.f64 1 x)))
(-.f64 (+.f64 1 (.f64 -1 (.f64 y (-.f64 1 x)))) x)
(-.f64 (+.f64 1 (.f64 -1 (.f64 y (-.f64 1 x)))) x)
(-.f64 (+.f64 1 (.f64 -1 (.f64 y (-.f64 1 x)))) x)
(.f64 -1 (.f64 y (-.f64 1 x)))
(-.f64 (+.f64 1 (.f64 -1 (.f64 y (-.f64 1 x)))) x)
(-.f64 (+.f64 1 (.f64 -1 (.f64 y (-.f64 1 x)))) x)
(-.f64 (+.f64 1 (.f64 -1 (.f64 y (-.f64 1 x)))) x)

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

localize17.0ms (0.3%)

Compiler: Compiled 15 to 8 computations (46.7% saved)

eval146.0ms (2.9%)

Compiler: Compiled 2528 to 1661 computations (34.3% saved)

prune50.0ms (1%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	157	5	162
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	159	5	164

Error

Counts

164 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	25.7b	(-.f64 (*.f64 y x) y)
	37.4b	1
▶	0b	(-.f64 (+.f64 1 (*.f64 y x)) y)
▶	45.0b	(*.f64 y x)
▶	17.9b	(-.f64 1 y)

Compiler

Compiled 29 to 20 computations (31% saved)

localize7.0ms (0.1%)

Compiler: Compiled 7 to 3 computations (57.1% saved)

localize7.0ms (0.1%)

Compiler: Compiled 7 to 5 computations (28.6% saved)

localize11.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (*.f64 y x) y)

Compiler

Compiled 12 to 4 computations (66.7% saved)

series6.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	y	@	inf	(-.f64 (*.f64 y x) y)
1.0ms	y	@	0	(-.f64 (*.f64 y x) y)
1.0ms	y	@	-inf	(-.f64 (*.f64 y x) y)
1.0ms	x	@	inf	(-.f64 (*.f64 y x) y)
1.0ms	x	@	-inf	(-.f64 (*.f64 y x) y)

rewrite104.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

628×	`pow1_binary64`
584×	`add-log-exp_binary64`
584×	`log1p-expm1-u_binary64`
584×	`expm1-log1p-u_binary64`
571×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	111	7
2	1573	7

Stop Event

1×	node limit

Counts

1 → 38

Calls

Call 1

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

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

Outputs

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

simplify39.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

82×	`fma-def_binary64`
58×	`fma-neg_binary64`
20×	`associate-r_binary64`
18×	`unsub-neg_binary64`
17×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	158
1	37	158
2	88	158
3	180	158
4	299	158
5	396	158
6	424	158

Stop Event

1×

saturated

Counts

62 → 44

Calls

Call 1

Inputs
(*.f64 y (-.f64 x 1))
(*.f64 y (-.f64 x 1))
(*.f64 y (-.f64 x 1))
(*.f64 y (-.f64 x 1))
(*.f64 y (-.f64 x 1))
(*.f64 y (-.f64 x 1))
(*.f64 y (-.f64 x 1))
(*.f64 y (-.f64 x 1))
(.f64 -1 (.f64 y (+.f64 1 (*.f64 -1 x))))
(.f64 -1 (.f64 y (+.f64 1 (*.f64 -1 x))))
(.f64 -1 (.f64 y (+.f64 1 (*.f64 -1 x))))
(.f64 -1 (.f64 y (+.f64 1 (*.f64 -1 x))))
(*.f64 -1 y)
(+.f64 (.f64 y x) (.f64 -1 y))
(+.f64 (.f64 y x) (.f64 -1 y))
(+.f64 (.f64 y x) (.f64 -1 y))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 -1 y))
(+.f64 (.f64 y x) (.f64 -1 y))
(+.f64 (.f64 y x) (.f64 -1 y))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 -1 y))
(+.f64 (.f64 y x) (.f64 -1 y))
(+.f64 (.f64 y x) (.f64 -1 y))

Outputs
(*.f64 y (-.f64 x 1))
(*.f64 y (+.f64 x -1))
(-.f64 (*.f64 y x) y)
(*.f64 y (-.f64 x 1))
(*.f64 y (+.f64 x -1))
(-.f64 (*.f64 y x) y)
(*.f64 y (-.f64 x 1))
(*.f64 y (+.f64 x -1))
(-.f64 (*.f64 y x) y)
(*.f64 y (-.f64 x 1))
(*.f64 y (+.f64 x -1))
(-.f64 (*.f64 y x) y)
(*.f64 y (-.f64 x 1))
(*.f64 y (+.f64 x -1))
(-.f64 (*.f64 y x) y)
(*.f64 y (-.f64 x 1))
(*.f64 y (+.f64 x -1))
(-.f64 (*.f64 y x) y)
(*.f64 y (-.f64 x 1))
(*.f64 y (+.f64 x -1))
(-.f64 (*.f64 y x) y)
(*.f64 y (-.f64 x 1))
(*.f64 y (+.f64 x -1))
(-.f64 (*.f64 y x) y)
(.f64 -1 (.f64 y (+.f64 1 (*.f64 -1 x))))
(*.f64 y (+.f64 x -1))
(-.f64 (*.f64 y x) y)
(.f64 -1 (.f64 y (+.f64 1 (*.f64 -1 x))))
(*.f64 y (+.f64 x -1))
(-.f64 (*.f64 y x) y)
(.f64 -1 (.f64 y (+.f64 1 (*.f64 -1 x))))
(*.f64 y (+.f64 x -1))
(-.f64 (*.f64 y x) y)
(.f64 -1 (.f64 y (+.f64 1 (*.f64 -1 x))))
(*.f64 y (+.f64 x -1))
(-.f64 (*.f64 y x) y)
(*.f64 -1 y)
(neg.f64 y)
(+.f64 (.f64 y x) (.f64 -1 y))
(*.f64 y (+.f64 x -1))
(-.f64 (*.f64 y x) y)
(+.f64 (.f64 y x) (.f64 -1 y))
(*.f64 y (+.f64 x -1))
(-.f64 (*.f64 y x) y)
(+.f64 (.f64 y x) (.f64 -1 y))
(*.f64 y (+.f64 x -1))
(-.f64 (*.f64 y x) y)
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 -1 y))
(*.f64 y (+.f64 x -1))
(-.f64 (*.f64 y x) y)
(+.f64 (.f64 y x) (.f64 -1 y))
(*.f64 y (+.f64 x -1))
(-.f64 (*.f64 y x) y)
(+.f64 (.f64 y x) (.f64 -1 y))
(*.f64 y (+.f64 x -1))
(-.f64 (*.f64 y x) y)
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 -1 y))
(*.f64 y (+.f64 x -1))
(-.f64 (*.f64 y x) y)
(+.f64 (.f64 y x) (.f64 -1 y))
(*.f64 y (+.f64 x -1))
(-.f64 (*.f64 y x) y)
(+.f64 (.f64 y x) (.f64 -1 y))
(*.f64 y (+.f64 x -1))
(-.f64 (*.f64 y x) y)

localize16.0ms (0.3%)

Compiler: Compiled 20 to 9 computations (55% saved)

eval35.0ms (0.7%)

Compiler: Compiled 487 to 172 computations (64.7% saved)

prune15.0ms (0.3%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	43	1	44
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	43	6	49

Error

Counts

49 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	43.1b	(neg.f64 y)
✓	0b	(-.f64 (+.f64 1 (*.f64 y x)) y)
✓	25.7b	(-.f64 (*.f64 y x) y)
	37.4b	1
✓	45.0b	(*.f64 y x)
✓	17.9b	(-.f64 1 y)

Compiler

Compiled 33 to 23 computations (30.3% saved)

localize6.0ms (0.1%)

Compiler: Compiled 5 to 3 computations (40% saved)

eval0.0ms (0%)

Compiler: Compiled 2 to 2 computations (0% saved)

prune5.0ms (0.1%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	1	1
Done	4	4
Total	6	6

Error

Counts

6 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	43.1b	(neg.f64 y)
✓	0b	(-.f64 (+.f64 1 (*.f64 y x)) y)
✓	25.7b	(-.f64 (*.f64 y x) y)
	37.4b	1
✓	45.0b	(*.f64 y x)
✓	17.9b	(-.f64 1 y)

Compiler

Compiled 33 to 23 computations (30.3% saved)

eval0.0ms (0%)

Compiler: Compiled 2 to 2 computations (0% saved)

prune5.0ms (0.1%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	5	5
Total	6	6

Error

Counts

6 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	43.1b	(neg.f64 y)
✓	0b	(-.f64 (+.f64 1 (*.f64 y x)) y)
✓	25.7b	(-.f64 (*.f64 y x) y)
	37.4b	1
✓	45.0b	(*.f64 y x)
✓	17.9b	(-.f64 1 y)

Compiler

Compiled 33 to 23 computations (30.3% saved)

regimes129.0ms (2.5%)

Counts

8 → 1

Calls

Call 1

Inputs
1
(neg.f64 y)
(*.f64 y x)
(-.f64 1 y)
(-.f64 (*.f64 y x) y)
(-.f64 (+.f64 1 (*.f64 y x)) y)
(+.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y)))
(-.f64 (fma.f64 x y 1) y)

Outputs
(-.f64 (+.f64 1 (*.f64 y x)) y)

Calls

6 calls:

85.0ms	(+.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y)))
11.0ms	x
11.0ms	y
8.0ms	(+.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y)))
7.0ms	(-.f64 1 y)

Results

Error	Segments	Branch
0b	1	`x`
0b	1	`y`
0b	1	`(+.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y)))`
0b	1	`(+.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y)))`
0b	1	`(-.f64 1 y)`
0b	1	`(-.f64 1 y)`

Compiler

Compiled 76 to 48 computations (36.8% saved)

regimes156.0ms (3.1%)

Counts

5 → 5

Calls

Call 1

Inputs
1
(neg.f64 y)
(*.f64 y x)
(-.f64 1 y)
(-.f64 (*.f64 y x) y)

Outputs
(*.f64 y x)
(-.f64 1 y)
(*.f64 y x)
(-.f64 1 y)
(-.f64 (*.f64 y x) y)

Calls

4 calls:

87.0ms	x
27.0ms	y
20.0ms	(-.f64 1 y)
17.0ms	(-.f64 1 y)

Results

Error	Segments	Branch
6.2b	5	`x`
9.8b	3	`y`
9.8b	3	`(-.f64 1 y)`
9.8b	3	`(-.f64 1 y)`

Compiler

Compiled 32 to 20 computations (37.5% saved)

bsearch726.0ms (14.2%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
149.0ms	6.199228672915937e+122	1.564261081504078e+129
181.0ms	2.4112787663639545e+93	2.421167591286515e+103
148.0ms	4.5296448054014233e+48	3.4179389900295573e+50
248.0ms	-8.985476786331687e+50	-1.4717294852637257e+50

Compiler

Compiled 418 to 309 computations (26.1% saved)

regimes158.0ms (3.1%)

Counts

4 → 5

Calls

Call 1

Inputs
1
(neg.f64 y)
(*.f64 y x)
(-.f64 1 y)

Outputs
(*.f64 y x)
(-.f64 1 y)
(*.f64 y x)
(-.f64 1 y)
(*.f64 y x)

Calls

4 calls:

66.0ms	x
45.0ms	(-.f64 1 y)
24.0ms	y
21.0ms	(-.f64 1 y)

Results

Error	Segments	Branch
6.2b	5	`x`
16.8b	3	`y`
16.8b	3	`(-.f64 1 y)`
16.8b	3	`(-.f64 1 y)`

Compiler

Compiled 27 to 19 computations (29.6% saved)

bsearch648.0ms (12.7%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
74.0ms	6.199228672915937e+122	1.564261081504078e+129
104.0ms	2.4112787663639545e+93	2.421167591286515e+103
155.0ms	4.5296448054014233e+48	3.4179389900295573e+50
314.0ms	-8.985476786331687e+50	-1.4717294852637257e+50

Compiler

Compiled 400 to 300 computations (25% saved)

regimes53.0ms (1%)

Counts

3 → 4

Calls

Call 1

Inputs
1
(neg.f64 y)
(*.f64 y x)

Outputs
(neg.f64 y)
(*.f64 y x)
1
(neg.f64 y)

Calls

2 calls:

37.0ms	x
14.0ms	y

Results

Error	Segments	Branch
18.6b	11	`x`
17.4b	4	`y`

Compiler

Compiled 14 to 9 computations (35.7% saved)

bsearch182.0ms (3.6%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
19.0ms	0.00020283490054536806	0.0016066581281774998
20.0ms	-2.849259497859196	-7.342478907999243e-8
143.0ms	-1.417735152193689e+64	-5.4239138149555025e+57

Compiler

Compiled 115 to 84 computations (27% saved)

regimes33.0ms (0.6%)

Accuracy

Total -43.6b remaining (-235.8%)

Threshold costs -43.6b (-235.8%)

Counts

2 → 3

Calls

Call 1

Inputs
1
(neg.f64 y)

Outputs
(neg.f64 y)
1
(neg.f64 y)

Calls

2 calls:

21.0ms	x
10.0ms	y

Results

Error	Segments	Branch
30.2b	7	`x`
18.5b	3	`y`

Compiler

Compiled 11 to 8 computations (27.3% saved)

bsearch44.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
24.0ms	0.00020283490054536806	0.0016066581281774998
19.0ms	-196200861801639260.0	-3366072060384564.5

Compiler

Compiled 16 to 12 computations (25% saved)

simplify16.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

5×	`+-commutative_binary64`
4×	`sub-neg_binary64`
2×	`*-commutative_binary64`
1×	`neg-sub0_binary64`
1×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	150
1	49	150
2	54	150
3	55	150

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(-.f64 (+.f64 1 (*.f64 y x)) y)
(if (<=.f64 x -880000000000000067141974601608605628995691744329728) (.f64 y x) (if (<=.f64 x 339999999999999984402842591433794782958910267457536) (-.f64 1 y) (if (<=.f64 x 2449999999999999845742176803855566176526502376584458644032380286182217102800154704001701511168) (.f64 y x) (if (<=.f64 x 1549999999999999981845628854020530752486339707458490233067369024055842518286850095687044370529418372931456866934044909143070867456) (-.f64 1 y) (-.f64 (*.f64 y x) y)))))
(if (<=.f64 x -880000000000000067141974601608605628995691744329728) (.f64 y x) (if (<=.f64 x 339999999999999984402842591433794782958910267457536) (-.f64 1 y) (if (<=.f64 x 2449999999999999845742176803855566176526502376584458644032380286182217102800154704001701511168) (.f64 y x) (if (<=.f64 x 1549999999999999981845628854020530752486339707458490233067369024055842518286850095687044370529418372931456866934044909143070867456) (-.f64 1 y) (*.f64 y x)))))
(if (<=.f64 y -5500000000000000178794520703784878169782272149865166274560) (neg.f64 y) (if (<=.f64 y -6415962006420261/2251799813685248) (*.f64 y x) (if (<=.f64 y 7483286999153469/36893488147419103232) 1 (neg.f64 y))))
(if (<=.f64 y -196200861801639264) (neg.f64 y) (if (<=.f64 y 7483286999153469/36893488147419103232) 1 (neg.f64 y)))
1

Outputs
(-.f64 (+.f64 1 (*.f64 y x)) y)
(if (<=.f64 x -880000000000000067141974601608605628995691744329728) (.f64 y x) (if (<=.f64 x 339999999999999984402842591433794782958910267457536) (-.f64 1 y) (if (<=.f64 x 2449999999999999845742176803855566176526502376584458644032380286182217102800154704001701511168) (.f64 y x) (if (<=.f64 x 1549999999999999981845628854020530752486339707458490233067369024055842518286850095687044370529418372931456866934044909143070867456) (-.f64 1 y) (-.f64 (*.f64 y x) y)))))
(if (<=.f64 x -880000000000000067141974601608605628995691744329728) (.f64 y x) (if (<=.f64 x 339999999999999984402842591433794782958910267457536) (-.f64 1 y) (if (<=.f64 x 2449999999999999845742176803855566176526502376584458644032380286182217102800154704001701511168) (.f64 y x) (if (<=.f64 x 1549999999999999981845628854020530752486339707458490233067369024055842518286850095687044370529418372931456866934044909143070867456) (-.f64 1 y) (*.f64 y x)))))
(if (<=.f64 y -5500000000000000178794520703784878169782272149865166274560) (neg.f64 y) (if (<=.f64 y -6415962006420261/2251799813685248) (*.f64 y x) (if (<=.f64 y 7483286999153469/36893488147419103232) 1 (neg.f64 y))))
(if (<=.f64 y -196200861801639264) (neg.f64 y) (if (<=.f64 y 7483286999153469/36893488147419103232) 1 (neg.f64 y)))
1

Compiler

Compiled 117 to 72 computations (38.5% saved)

soundness0.0ms (0%)

end108.0ms (2.1%)

Compiler: Compiled 107 to 58 computations (45.8% saved)

Details

analyze67.0ms (1.3%)

sample1.7s (34%)

preprocess80.0ms (1.6%)

simplify175.0ms (3.4%)

eval1.0ms (0%)

prune1.0ms (0%)

localize16.0ms (0.3%)

series5.0ms (0.1%)

rewrite96.0ms (1.9%)

simplify206.0ms (4%)

localize17.0ms (0.3%)

eval146.0ms (2.9%)

prune50.0ms (1%)

localize7.0ms (0.1%)

localize7.0ms (0.1%)

localize11.0ms (0.2%)

series6.0ms (0.1%)

rewrite104.0ms (2%)

simplify39.0ms (0.8%)

localize16.0ms (0.3%)

eval35.0ms (0.7%)

prune15.0ms (0.3%)

localize6.0ms (0.1%)

eval0.0ms (0%)

prune5.0ms (0.1%)

eval0.0ms (0%)

prune5.0ms (0.1%)

regimes129.0ms (2.5%)

regimes156.0ms (3.1%)

bsearch726.0ms (14.2%)

regimes158.0ms (3.1%)

bsearch648.0ms (12.7%)

regimes53.0ms (1%)

bsearch182.0ms (3.6%)

regimes33.0ms (0.6%)

bsearch44.0ms (0.9%)

simplify16.0ms (0.3%)

soundness0.0ms (0%)

end108.0ms (2.1%)

Profiling