Details

analyze958.0ms (6.3%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
0%	0%	100%	0%	0%	0%	0%	3
0%	0%	100%	0%	0%	0%	0%	4
0%	0%	100%	0%	0%	0%	0%	5
0%	0%	100%	0%	0%	0%	0%	6
0%	0%	100%	0%	0%	0%	0%	7
0%	0%	100%	0%	0%	0%	0%	8
0%	0%	100%	0%	0%	0%	0%	9
0%	0%	100%	0%	0%	0%	0%	10
0%	0%	100%	0%	0%	0%	0%	11
0%	0%	100%	0%	0%	0%	0%	12

Compiler

Compiled 16 to 11 computations (31.3% saved)

sample5.0s (32.6%)

Results

2.4s	4163×	body	2048	valid
1.1s	8489×	body	256	invalid
968.0ms	2058×	body	1024	valid
267.0ms	1026×	body	512	valid
178.0ms	1009×	body	256	valid

Bogosity

preprocess75.0ms (0.5%)

Algorithm

2×	egg-herbie

Rules

685×	`div-sub_binary64`
548×	`sub-neg_binary64`
306×	`associate-/r*_binary64`
302×	`fma-def_binary64`
296×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	19
1	31	19
2	76	17
3	215	17
4	638	17
5	1818	17
6	4420	17
7	6939	17
0	1	1

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs
(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

Outputs
(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))
(acos.f64 (/.f64 (+.f64 1 (.f64 -5 (.f64 v v))) (fma.f64 v v -1)))
(acos.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))

Compiler

Compiled 16 to 11 computations (31.3% saved)

simplify60.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

685×	`div-sub_binary64`
548×	`sub-neg_binary64`
306×	`associate-/r*_binary64`
302×	`fma-def_binary64`
296×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	19
1	31	19
2	76	17
3	215	17
4	638	17
5	1818	17
6	4420	17
7	6939	17

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

Inputs
(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

Outputs
(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))
(acos.f64 (/.f64 (+.f64 1 (.f64 -5 (.f64 v v))) (fma.f64 v v -1)))
(acos.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))

eval1.0ms (0%)

Compiler: Compiled 27 to 18 computations (33.3% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.5b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.5b	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

Compiler

Compiled 15 to 10 computations (33.3% saved)

localize19.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))
✓	0.1b	(.f64 5 (.f64 v v))
✓	0.5b	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

Compiler

Compiled 51 to 27 computations (47.1% saved)

series4.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	v	@	0	(.f64 5 (.f64 v v))
1.0ms	v	@	inf	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))
1.0ms	v	@	inf	(.f64 5 (.f64 v v))
1.0ms	v	@	-inf	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))
0.0ms	v	@	0	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

rewrite133.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

848×	`prod-diff_binary64`
577×	`log-prod_binary64`
236×	`fma-def_binary64`
204×	`pow1/3_binary64`
200×	`expm1-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	43
1	236	43
2	3342	39

Stop Event

1×	node limit

Counts

3 → 237

Calls

Call 1

Inputs
(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))
(.f64 5 (.f64 v v))
(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (acos.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1))))) (sqrt.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1)))) (asin.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (acos.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (.f64 (PI.f64) 1/2) (neg.f64 (.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1))) 1))) (fma.f64 (neg.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1)))) 1 (.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (.f64 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(cbrt.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1))))) (.f64 (cbrt.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1)))) (.f64 (cbrt.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1)))) (cbrt.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (acos.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1))))) (cbrt.f64 (exp.f64 (acos.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1))))))) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1)))))) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (neg.f64 (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (PI.f64) 1/2) (asin.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (acos.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (acos.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1)))) (cbrt.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1))) 2)) (cbrt.f64 (acos.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 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(#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (acos.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (acos.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 (.f64 v v) -5 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Outputs

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(pow.f64 (fma.f64 (*.f64 v v) -5 1) 2)) (*.f64 (cbrt.f64 (fma.f64 (*.f64 v v) -5 1)) (/.f64 1 (fma.f64 v v -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))) (sqrt.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (*.f64 v v) -5 1)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) -5 1)) (/.f64 1 (fma.f64 v v -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fma.f64 (*.f64 v v) -5 1)) (/.f64 1 (neg.f64 (fma.f64 v v -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 v v -1)) (fma.f64 (*.f64 v v) -5 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 (*.f64 v v) -5 1) 2)) 1) (/.f64 (cbrt.f64 (fma.f64 (*.f64 v v) -5 1)) (fma.f64 v v -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 v v) -5 1)) 1) (/.f64 (sqrt.f64 (fma.f64 (*.f64 v v) -5 1)) (fma.f64 v v -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 v v -1) 2))) (/.f64 (fma.f64 (*.f64 v v) -5 1) (cbrt.f64 (fma.f64 v v -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 (*.f64 v v) -5 1) 2)) (cbrt.f64 (pow.f64 (fma.f64 v v -1) 2))) (cbrt.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 v v) -5 1)) (cbrt.f64 (pow.f64 (fma.f64 v v -1) 2))) (/.f64 (sqrt.f64 (fma.f64 (*.f64 v v) -5 1)) (cbrt.f64 (fma.f64 v v -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (fma.f64 v v -1))) (/.f64 (fma.f64 (*.f64 v v) -5 1) (sqrt.f64 (fma.f64 v v -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 (*.f64 v v) -5 1) 2)) (sqrt.f64 (fma.f64 v v -1))) (/.f64 (cbrt.f64 (fma.f64 (*.f64 v v) -5 1)) (sqrt.f64 (fma.f64 v v -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 v)) (/.f64 (fma.f64 (*.f64 v v) -5 1) (+.f64 v -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 (*.f64 v v) -5 1) 2)) (+.f64 1 v)) (/.f64 (cbrt.f64 (fma.f64 (*.f64 v v) -5 1)) (+.f64 v -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 v v) -5 1)) (+.f64 1 v)) (/.f64 (sqrt.f64 (fma.f64 (*.f64 v v) -5 1)) (+.f64 v -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (+.f64 (pow.f64 v 6) -1)) (+.f64 (pow.f64 v 4) (fma.f64 v v 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (+.f64 (pow.f64 v 4) -1)) (fma.f64 v v 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 v v -1) (fma.f64 (*.f64 v v) -5 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 v v) -5 1) 3) (pow.f64 (fma.f64 v v -1) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (fma.f64 v v -1) (fma.f64 (*.f64 v v) -5 1)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (neg.f64 (fma.f64 v v -1))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 v v) -5 1) 3) (pow.f64 (fma.f64 v v -1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1 (fma.f64 v v -1)) (neg.f64 (/.f64 5 (/.f64 (fma.f64 v v -1) (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (/.f64 1 (fma.f64 v v -1))) (cbrt.f64 (/.f64 1 (fma.f64 v v -1)))) (cbrt.f64 (/.f64 1 (fma.f64 v v -1))) (neg.f64 (/.f64 5 (/.f64 (fma.f64 v v -1) (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 v v -1))) (sqrt.f64 (/.f64 1 (fma.f64 v v -1))) (neg.f64 (/.f64 5 (/.f64 (fma.f64 v v -1) (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (+.f64 (pow.f64 v 6) -1)) (+.f64 (pow.f64 v 4) (fma.f64 v v 1)) (neg.f64 (/.f64 5 (/.f64 (fma.f64 v v -1) (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (+.f64 (pow.f64 v 4) -1)) (fma.f64 v v 1) (neg.f64 (/.f64 5 (/.f64 (fma.f64 v v -1) (*.f64 v v)))))))))

simplify75.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

745×	`cancel-sign-sub-inv_binary64`
572×	`associate-*l/_binary64`
550×	`fma-def_binary64`
311×	`distribute-rgt-out_binary64`
285×	`unswap-sqr_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	40	512
1	118	469
2	347	443
3	1112	443
4	4016	443

Stop Event

1×	node limit

Counts

273 → 255

Calls

Call 1

Inputs
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (-.f64 (pow.f64 v 2) 1)))
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (-.f64 (pow.f64 v 2) 1)))
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (-.f64 (pow.f64 v 2) 1)))
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (-.f64 (pow.f64 v 2) 1)))
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (-.f64 (pow.f64 v 2) 1)))
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (-.f64 (pow.f64 v 2) 1)))
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (-.f64 (pow.f64 v 2) 1)))
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (-.f64 (pow.f64 v 2) 1)))
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (-.f64 (pow.f64 v 2) 1)))
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (-.f64 (pow.f64 v 2) 1)))
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (-.f64 (pow.f64 v 2) 1)))
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (-.f64 (pow.f64 v 2) 1)))
(*.f64 5 (pow.f64 v 2))
(*.f64 5 (pow.f64 v 2))
(*.f64 5 (pow.f64 v 2))
(*.f64 5 (pow.f64 v 2))
(*.f64 5 (pow.f64 v 2))
(*.f64 5 (pow.f64 v 2))
(*.f64 5 (pow.f64 v 2))
(*.f64 5 (pow.f64 v 2))
(*.f64 5 (pow.f64 v 2))
(*.f64 5 (pow.f64 v 2))
(*.f64 5 (pow.f64 v 2))
(*.f64 5 (pow.f64 v 2))
-1
(-.f64 (*.f64 4 (pow.f64 v 2)) 1)
(-.f64 (+.f64 (.f64 4 (pow.f64 v 2)) (.f64 4 (pow.f64 v 4))) 1)
(-.f64 (+.f64 (.f64 4 (pow.f64 v 2)) (+.f64 (.f64 4 (pow.f64 v 4)) (*.f64 4 (pow.f64 v 6)))) 1)
-5
(neg.f64 (+.f64 5 (*.f64 4 (/.f64 1 (pow.f64 v 2)))))
(neg.f64 (+.f64 5 (+.f64 (.f64 4 (/.f64 1 (pow.f64 v 2))) (.f64 4 (/.f64 1 (pow.f64 v 4))))))
(neg.f64 (+.f64 5 (+.f64 (.f64 4 (/.f64 1 (pow.f64 v 6))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 v 2))) (*.f64 4 (/.f64 1 (pow.f64 v 4)))))))
-5
(neg.f64 (+.f64 5 (*.f64 4 (/.f64 1 (pow.f64 v 2)))))
(neg.f64 (+.f64 5 (+.f64 (.f64 4 (/.f64 1 (pow.f64 v 2))) (.f64 4 (/.f64 1 (pow.f64 v 4))))))
(neg.f64 (+.f64 5 (+.f64 (.f64 4 (/.f64 1 (pow.f64 v 6))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 v 2))) (*.f64 4 (/.f64 1 (pow.f64 v 4)))))))

Outputs
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (-.f64 (pow.f64 v 2) 1)))
(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (*.f64 v v) -1)))
(acos.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (-.f64 (pow.f64 v 2) 1)))
(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (*.f64 v v) -1)))
(acos.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (-.f64 (pow.f64 v 2) 1)))
(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (*.f64 v v) -1)))
(acos.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (-.f64 (pow.f64 v 2) 1)))
(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (*.f64 v v) -1)))
(acos.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (-.f64 (pow.f64 v 2) 1)))
(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (*.f64 v v) -1)))
(acos.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (-.f64 (pow.f64 v 2) 1)))
(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (*.f64 v v) -1)))
(acos.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (-.f64 (pow.f64 v 2) 1)))
(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (*.f64 v v) -1)))
(acos.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (-.f64 (pow.f64 v 2) 1)))
(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (*.f64 v v) -1)))
(acos.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (-.f64 (pow.f64 v 2) 1)))
(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (*.f64 v v) -1)))
(acos.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (-.f64 (pow.f64 v 2) 1)))
(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (*.f64 v v) -1)))
(acos.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (-.f64 (pow.f64 v 2) 1)))
(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (*.f64 v v) -1)))
(acos.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (-.f64 (pow.f64 v 2) 1)))
(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (*.f64 v v) -1)))
(acos.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(*.f64 5 (pow.f64 v 2))
(.f64 5 (.f64 v v))
(*.f64 5 (pow.f64 v 2))
(.f64 5 (.f64 v v))
(*.f64 5 (pow.f64 v 2))
(.f64 5 (.f64 v v))
(*.f64 5 (pow.f64 v 2))
(.f64 5 (.f64 v v))
(*.f64 5 (pow.f64 v 2))
(.f64 5 (.f64 v v))
(*.f64 5 (pow.f64 v 2))
(.f64 5 (.f64 v v))
(*.f64 5 (pow.f64 v 2))
(.f64 5 (.f64 v v))
(*.f64 5 (pow.f64 v 2))
(.f64 5 (.f64 v v))
(*.f64 5 (pow.f64 v 2))
(.f64 5 (.f64 v v))
(*.f64 5 (pow.f64 v 2))
(.f64 5 (.f64 v v))
(*.f64 5 (pow.f64 v 2))
(.f64 5 (.f64 v v))
(*.f64 5 (pow.f64 v 2))
(.f64 5 (.f64 v v))
-1
(-.f64 (*.f64 4 (pow.f64 v 2)) 1)
(fma.f64 4 (*.f64 v v) -1)
(fma.f64 (*.f64 v v) 4 -1)
(fma.f64 v (*.f64 v 4) -1)
(-.f64 (+.f64 (.f64 4 (pow.f64 v 2)) (.f64 4 (pow.f64 v 4))) 1)
(+.f64 (.f64 4 (+.f64 (.f64 v v) (pow.f64 v 4))) -1)
(fma.f64 4 (fma.f64 v v (pow.f64 v 4)) -1)
(-.f64 (+.f64 (.f64 4 (pow.f64 v 2)) (+.f64 (.f64 4 (pow.f64 v 4)) (*.f64 4 (pow.f64 v 6)))) 1)
(+.f64 (fma.f64 4 (.f64 v v) (.f64 4 (+.f64 (pow.f64 v 4) (pow.f64 v 6)))) -1)
(+.f64 (*.f64 4 (+.f64 (fma.f64 v v (pow.f64 v 4)) (pow.f64 v 6))) -1)
(fma.f64 4 (+.f64 (pow.f64 v 6) (fma.f64 v v (pow.f64 v 4))) -1)
(fma.f64 4 (+.f64 (pow.f64 v 4) (fma.f64 v v (pow.f64 v 6))) -1)
-5
(neg.f64 (+.f64 5 (*.f64 4 (/.f64 1 (pow.f64 v 2)))))
(neg.f64 (+.f64 5 (/.f64 4 (*.f64 v v))))
(+.f64 -5 (/.f64 -4 (*.f64 v v)))
(neg.f64 (+.f64 5 (+.f64 (.f64 4 (/.f64 1 (pow.f64 v 2))) (.f64 4 (/.f64 1 (pow.f64 v 4))))))
(neg.f64 (+.f64 5 (+.f64 (/.f64 4 (*.f64 v v)) (/.f64 4 (pow.f64 v 4)))))
(-.f64 (+.f64 -5 (/.f64 -4 (*.f64 v v))) (/.f64 4 (pow.f64 v 4)))
(+.f64 (/.f64 -4 (*.f64 v v)) (+.f64 -5 (/.f64 -4 (pow.f64 v 4))))
(+.f64 (+.f64 -5 (/.f64 -4 (*.f64 v v))) (/.f64 -4 (pow.f64 v 4)))
(neg.f64 (+.f64 5 (+.f64 (.f64 4 (/.f64 1 (pow.f64 v 6))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 v 2))) (*.f64 4 (/.f64 1 (pow.f64 v 4)))))))
(neg.f64 (+.f64 5 (+.f64 (+.f64 (/.f64 4 (*.f64 v v)) (/.f64 4 (pow.f64 v 4))) (/.f64 4 (pow.f64 v 6)))))
(-.f64 -5 (+.f64 (/.f64 4 (*.f64 v v)) (+.f64 (/.f64 4 (pow.f64 v 4)) (/.f64 4 (pow.f64 v 6)))))
(+.f64 (+.f64 (/.f64 -4 (*.f64 v v)) (+.f64 -5 (/.f64 -4 (pow.f64 v 4)))) (/.f64 -4 (pow.f64 v 6)))
(+.f64 (+.f64 -5 (/.f64 -4 (*.f64 v v))) (-.f64 (/.f64 -4 (pow.f64 v 4)) (/.f64 4 (pow.f64 v 6))))
(+.f64 (+.f64 (+.f64 -5 (/.f64 -4 (*.f64 v v))) (/.f64 -4 (pow.f64 v 4))) (/.f64 -4 (pow.f64 v 6)))
-5
(neg.f64 (+.f64 5 (*.f64 4 (/.f64 1 (pow.f64 v 2)))))
(neg.f64 (+.f64 5 (/.f64 4 (*.f64 v v))))
(+.f64 -5 (/.f64 -4 (*.f64 v v)))
(neg.f64 (+.f64 5 (+.f64 (.f64 4 (/.f64 1 (pow.f64 v 2))) (.f64 4 (/.f64 1 (pow.f64 v 4))))))
(neg.f64 (+.f64 5 (+.f64 (/.f64 4 (*.f64 v v)) (/.f64 4 (pow.f64 v 4)))))
(-.f64 (+.f64 -5 (/.f64 -4 (*.f64 v v))) (/.f64 4 (pow.f64 v 4)))
(+.f64 (/.f64 -4 (*.f64 v v)) (+.f64 -5 (/.f64 -4 (pow.f64 v 4))))
(+.f64 (+.f64 -5 (/.f64 -4 (*.f64 v v))) (/.f64 -4 (pow.f64 v 4)))
(neg.f64 (+.f64 5 (+.f64 (.f64 4 (/.f64 1 (pow.f64 v 6))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 v 2))) (*.f64 4 (/.f64 1 (pow.f64 v 4)))))))
(neg.f64 (+.f64 5 (+.f64 (+.f64 (/.f64 4 (*.f64 v v)) (/.f64 4 (pow.f64 v 4))) (/.f64 4 (pow.f64 v 6)))))
(-.f64 -5 (+.f64 (/.f64 4 (*.f64 v v)) (+.f64 (/.f64 4 (pow.f64 v 4)) (/.f64 4 (pow.f64 v 6)))))
(+.f64 (+.f64 (/.f64 -4 (*.f64 v v)) (+.f64 -5 (/.f64 -4 (pow.f64 v 4)))) (/.f64 -4 (pow.f64 v 6)))
(+.f64 (+.f64 -5 (/.f64 -4 (*.f64 v v))) (-.f64 (/.f64 -4 (pow.f64 v 4)) (/.f64 4 (pow.f64 v 6))))
(+.f64 (+.f64 (+.f64 -5 (/.f64 -4 (*.f64 v v))) (/.f64 -4 (pow.f64 v 4))) (/.f64 -4 (pow.f64 v 6)))

eval605.0ms (4%)

Compiler: Compiled 12276 to 8433 computations (31.3% saved)

prune39.0ms (0.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	250	5	255
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	250	6	256

Error

0.5b

Counts

256 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	2.0b	(fma.f64 (.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) (cbrt.f64 (.f64 (PI.f64) 1/2))) (cbrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))))
▶	1.4b	(pow.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))) 2)
▶	2.4b	(+.f64 (fma.f64 (.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) (cbrt.f64 (.f64 (PI.f64) 1/2))) (cbrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (.f64 (cbrt.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1)))) (.f64 (cbrt.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1)))) (cbrt.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1)))))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1))))) (.f64 (cbrt.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1)))) (cbrt.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1))))) (.f64 (cbrt.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1)))) (.f64 (cbrt.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1)))) (cbrt.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1))))))))
▶	0.6b	(acos.f64 (fma.f64 v (*.f64 v 4) -1))
✓	0.5b	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))
▶	0.7b	(acos.f64 -1)

Compiler

Compiled 407 to 286 computations (29.7% saved)

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.5b	(acos.f64 (fma.f64 v (*.f64 v 4) -1))

Compiler

Compiled 20 to 14 computations (30% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	v	@	0	(acos.f64 (fma.f64 v (*.f64 v 4) -1))
0.0ms	v	@	inf	(acos.f64 (fma.f64 v (*.f64 v 4) -1))
0.0ms	v	@	-inf	(acos.f64 (fma.f64 v (*.f64 v 4) -1))

rewrite105.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

633×	`pow1_binary64`
585×	`add-log-exp_binary64`
585×	`log1p-expm1-u_binary64`
585×	`expm1-log1p-u_binary64`
574×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	140	10
2	1543	10

Stop Event

1×	node limit

Counts

1 → 20

Calls

Call 1

Inputs
(acos.f64 (fma.f64 v (*.f64 v 4) -1))

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

Outputs

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

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`fma-def_binary64`
2×	`associate-r_binary64`
1×	`+-commutative_binary64`
1×	`*-commutative_binary64`
1×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	120
1	10	120
2	14	120
3	17	120
4	18	120

Stop Event

1×

saturated

Counts

32 → 22

Calls

Call 1

Inputs
(acos.f64 (fma.f64 v (*.f64 4 v) -1))
(acos.f64 (fma.f64 v (*.f64 4 v) -1))
(acos.f64 (fma.f64 v (*.f64 4 v) -1))
(acos.f64 (fma.f64 v (*.f64 4 v) -1))
(acos.f64 (fma.f64 v (*.f64 4 v) -1))
(acos.f64 (fma.f64 v (*.f64 4 v) -1))
(acos.f64 (fma.f64 v (*.f64 4 v) -1))
(acos.f64 (fma.f64 v (*.f64 4 v) -1))
(acos.f64 (fma.f64 v (*.f64 4 v) -1))
(acos.f64 (fma.f64 v (*.f64 4 v) -1))
(acos.f64 (fma.f64 v (*.f64 4 v) -1))
(acos.f64 (fma.f64 v (*.f64 4 v) -1))

Outputs
(acos.f64 (fma.f64 v (*.f64 4 v) -1))
(acos.f64 (fma.f64 v (*.f64 v 4) -1))
(acos.f64 (fma.f64 v (*.f64 4 v) -1))
(acos.f64 (fma.f64 v (*.f64 v 4) -1))
(acos.f64 (fma.f64 v (*.f64 4 v) -1))
(acos.f64 (fma.f64 v (*.f64 v 4) -1))
(acos.f64 (fma.f64 v (*.f64 4 v) -1))
(acos.f64 (fma.f64 v (*.f64 v 4) -1))
(acos.f64 (fma.f64 v (*.f64 4 v) -1))
(acos.f64 (fma.f64 v (*.f64 v 4) -1))
(acos.f64 (fma.f64 v (*.f64 4 v) -1))
(acos.f64 (fma.f64 v (*.f64 v 4) -1))
(acos.f64 (fma.f64 v (*.f64 4 v) -1))
(acos.f64 (fma.f64 v (*.f64 v 4) -1))
(acos.f64 (fma.f64 v (*.f64 4 v) -1))
(acos.f64 (fma.f64 v (*.f64 v 4) -1))
(acos.f64 (fma.f64 v (*.f64 4 v) -1))
(acos.f64 (fma.f64 v (*.f64 v 4) -1))
(acos.f64 (fma.f64 v (*.f64 4 v) -1))
(acos.f64 (fma.f64 v (*.f64 v 4) -1))
(acos.f64 (fma.f64 v (*.f64 4 v) -1))
(acos.f64 (fma.f64 v (*.f64 v 4) -1))
(acos.f64 (fma.f64 v (*.f64 4 v) -1))
(acos.f64 (fma.f64 v (*.f64 v 4) -1))

localize2.0ms (0%)

Compiler: Compiled 4 to 4 computations (0% saved)

localize29.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))
✓	0.5b	(acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))
✓	1.0b	(sqrt.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))))
✓	1.0b	(pow.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))) 2)

Compiler

Compiled 70 to 42 computations (40% saved)

series28.0ms (0.2%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
24.0ms	v	@	-inf	(pow.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))) 2)
1.0ms	v	@	0	(pow.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))) 2)
1.0ms	v	@	inf	(pow.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))) 2)
0.0ms	v	@	0	(sqrt.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))))
0.0ms	v	@	inf	(/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))

rewrite116.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

459×	`log-prod_binary64`
361×	`exp-prod_binary64`
310×	`prod-exp_binary64`
278×	`pow2_binary64`
249×	`pow-prod-down_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	68
1	262	68
2	2699	68

Stop Event

1×	node limit

Counts

4 → 205

Calls

Call 1

Inputs
(pow.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))) 2)
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))))
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))
(/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))

Outputs
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(fma.f64 v v -1)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (log1p.f64 (.f64 v (.f64 v -5))) 1) (neg.f64 (log.f64 (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (neg.f64 (log.f64 (fma.f64 v v -1))) (.f64 (log1p.f64 (.f64 v (.f64 v -5))) 1)))))))

simplify63.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

669×	`cancel-sign-sub-inv_binary64`
536×	`fma-def_binary64`
423×	`associate-*l/_binary64`
405×	`associate-/l*_binary64`
311×	`distribute-rgt-out_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	40	812
1	113	793
2	325	791
3	1001	791
4	3343	791

Stop Event

1×	node limit

Counts

253 → 170

Calls

Call 1

Inputs
(acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1)))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))))
(acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1)))
-1
(-.f64 (*.f64 4 (pow.f64 v 2)) 1)
(-.f64 (+.f64 (.f64 4 (pow.f64 v 2)) (.f64 4 (pow.f64 v 4))) 1)
(-.f64 (+.f64 (.f64 4 (pow.f64 v 2)) (+.f64 (.f64 4 (pow.f64 v 4)) (*.f64 4 (pow.f64 v 6)))) 1)
-5
(neg.f64 (+.f64 5 (*.f64 4 (/.f64 1 (pow.f64 v 2)))))
(neg.f64 (+.f64 5 (+.f64 (.f64 4 (/.f64 1 (pow.f64 v 2))) (.f64 4 (/.f64 1 (pow.f64 v 4))))))
(neg.f64 (+.f64 5 (+.f64 (.f64 4 (/.f64 1 (pow.f64 v 6))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 v 2))) (*.f64 4 (/.f64 1 (pow.f64 v 4)))))))
-5
(neg.f64 (+.f64 5 (*.f64 4 (/.f64 1 (pow.f64 v 2)))))
(neg.f64 (+.f64 5 (+.f64 (.f64 4 (/.f64 1 (pow.f64 v 2))) (.f64 4 (/.f64 1 (pow.f64 v 4))))))
(neg.f64 (+.f64 5 (+.f64 (.f64 4 (/.f64 1 (pow.f64 v 6))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 v 2))) (*.f64 4 (/.f64 1 (pow.f64 v 4)))))))

Outputs
(acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
-1
(-.f64 (*.f64 4 (pow.f64 v 2)) 1)
(fma.f64 4 (*.f64 v v) -1)
(fma.f64 (*.f64 v v) 4 -1)
(fma.f64 v (*.f64 v 4) -1)
(-.f64 (+.f64 (.f64 4 (pow.f64 v 2)) (.f64 4 (pow.f64 v 4))) 1)
(+.f64 (.f64 4 (+.f64 (.f64 v v) (pow.f64 v 4))) -1)
(fma.f64 4 (fma.f64 v v (pow.f64 v 4)) -1)
(-.f64 (+.f64 (.f64 4 (pow.f64 v 2)) (+.f64 (.f64 4 (pow.f64 v 4)) (*.f64 4 (pow.f64 v 6)))) 1)
(+.f64 (fma.f64 4 (.f64 v v) (.f64 4 (+.f64 (pow.f64 v 4) (pow.f64 v 6)))) -1)
(+.f64 -1 (*.f64 4 (+.f64 (fma.f64 v v (pow.f64 v 4)) (pow.f64 v 6))))
(fma.f64 4 (+.f64 (pow.f64 v 6) (fma.f64 v v (pow.f64 v 4))) -1)
(fma.f64 4 (+.f64 (pow.f64 v 4) (fma.f64 v v (pow.f64 v 6))) -1)
-5
(neg.f64 (+.f64 5 (*.f64 4 (/.f64 1 (pow.f64 v 2)))))
(neg.f64 (+.f64 5 (/.f64 4 (*.f64 v v))))
(+.f64 -5 (/.f64 -4 (*.f64 v v)))
(neg.f64 (+.f64 5 (+.f64 (.f64 4 (/.f64 1 (pow.f64 v 2))) (.f64 4 (/.f64 1 (pow.f64 v 4))))))
(+.f64 -5 (neg.f64 (+.f64 (/.f64 4 (*.f64 v v)) (/.f64 4 (pow.f64 v 4)))))
(-.f64 -5 (+.f64 (/.f64 4 (*.f64 v v)) (/.f64 4 (pow.f64 v 4))))
(+.f64 -5 (+.f64 (/.f64 -4 (*.f64 v v)) (/.f64 -4 (pow.f64 v 4))))
(+.f64 (+.f64 -5 (/.f64 -4 (*.f64 v v))) (/.f64 -4 (pow.f64 v 4)))
(neg.f64 (+.f64 5 (+.f64 (.f64 4 (/.f64 1 (pow.f64 v 6))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 v 2))) (*.f64 4 (/.f64 1 (pow.f64 v 4)))))))
(neg.f64 (+.f64 5 (+.f64 (+.f64 (/.f64 4 (*.f64 v v)) (/.f64 4 (pow.f64 v 4))) (/.f64 4 (pow.f64 v 6)))))
(-.f64 -5 (+.f64 (/.f64 4 (pow.f64 v 4)) (+.f64 (/.f64 4 (*.f64 v v)) (/.f64 4 (pow.f64 v 6)))))
(+.f64 (+.f64 -5 (+.f64 (/.f64 -4 (*.f64 v v)) (/.f64 -4 (pow.f64 v 4)))) (/.f64 -4 (pow.f64 v 6)))
(+.f64 (+.f64 -5 (/.f64 -4 (*.f64 v v))) (+.f64 (/.f64 -4 (pow.f64 v 6)) (/.f64 -4 (pow.f64 v 4))))
(+.f64 (+.f64 (+.f64 -5 (/.f64 -4 (*.f64 v v))) (/.f64 -4 (pow.f64 v 4))) (/.f64 -4 (pow.f64 v 6)))
-5
(neg.f64 (+.f64 5 (*.f64 4 (/.f64 1 (pow.f64 v 2)))))
(neg.f64 (+.f64 5 (/.f64 4 (*.f64 v v))))
(+.f64 -5 (/.f64 -4 (*.f64 v v)))
(neg.f64 (+.f64 5 (+.f64 (.f64 4 (/.f64 1 (pow.f64 v 2))) (.f64 4 (/.f64 1 (pow.f64 v 4))))))
(+.f64 -5 (neg.f64 (+.f64 (/.f64 4 (*.f64 v v)) (/.f64 4 (pow.f64 v 4)))))
(-.f64 -5 (+.f64 (/.f64 4 (*.f64 v v)) (/.f64 4 (pow.f64 v 4))))
(+.f64 -5 (+.f64 (/.f64 -4 (*.f64 v v)) (/.f64 -4 (pow.f64 v 4))))
(+.f64 (+.f64 -5 (/.f64 -4 (*.f64 v v))) (/.f64 -4 (pow.f64 v 4)))
(neg.f64 (+.f64 5 (+.f64 (.f64 4 (/.f64 1 (pow.f64 v 6))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 v 2))) (*.f64 4 (/.f64 1 (pow.f64 v 4)))))))
(neg.f64 (+.f64 5 (+.f64 (+.f64 (/.f64 4 (*.f64 v v)) (/.f64 4 (pow.f64 v 4))) (/.f64 4 (pow.f64 v 6)))))
(-.f64 -5 (+.f64 (/.f64 4 (pow.f64 v 4)) (+.f64 (/.f64 4 (*.f64 v v)) (/.f64 4 (pow.f64 v 6)))))
(+.f64 (+.f64 -5 (+.f64 (/.f64 -4 (*.f64 v v)) (/.f64 -4 (pow.f64 v 4)))) (/.f64 -4 (pow.f64 v 6)))
(+.f64 (+.f64 -5 (/.f64 -4 (*.f64 v v))) (+.f64 (/.f64 -4 (pow.f64 v 6)) (/.f64 -4 (pow.f64 v 4))))
(+.f64 (+.f64 (+.f64 -5 (/.f64 -4 (*.f64 v v))) (/.f64 -4 (pow.f64 v 4))) (/.f64 -4 (pow.f64 v 6)))

localize44.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))
✓	0.5b	(asin.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))
✓	1.0b	(cbrt.f64 (*.f64 (PI.f64) 1/2))
✓	1.0b	(.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2)))

Compiler

Compiled 99 to 64 computations (35.4% saved)

series1.0ms (0%)

Counts

3 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	v	@	0	(asin.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))
0.0ms	v	@	-inf	(asin.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))
0.0ms	v	@	inf	(asin.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))

rewrite113.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

592×	`log-prod_binary64`
344×	`pow2_binary64`
322×	`pow-prod-down_binary64`
239×	`pow1/3_binary64`
237×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	34
1	296	34
2	3319	34

Stop Event

1×	node limit

Counts

3 → 136

Calls

Call 1

Inputs
(.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2)))
(cbrt.f64 (*.f64 (PI.f64) 1/2))
(asin.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (PI.f64) 1/2) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) 2/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))) 6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 1/6) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) 4/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2/3 (log.f64 (*.f64 (PI.f64) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2/3 (log.f64 (*.f64 (PI.f64) 1/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) 1/2)) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (*.f64 (PI.f64) 1/2))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/3 (*.f64 2/3 (log.f64 (*.f64 (PI.f64) 1/2)))) 3))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 (*.f64 (PI.f64) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (*.f64 (PI.f64) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))) 2) (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 1/2) (cbrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 1/6) (pow.f64 (*.f64 (PI.f64) 1/2) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))) 4)) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (PI.f64) 1/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))) 2) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) 1/2)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2/3 (log.f64 (*.f64 (PI.f64) 1/2))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/6 (log.f64 (*.f64 (PI.f64) 1/2))) 2))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) (fma.f64 (neg.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (*.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1))) (fma.f64 (neg.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 1 (*.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1/2 (PI.f64) (neg.f64 (*.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1))) (fma.f64 (neg.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 1 (*.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (*.f64 (PI.f64) 1/2) 1 (neg.f64 (*.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1))) (fma.f64 (neg.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 1 (*.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (neg.f64 (*.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1))) (fma.f64 (neg.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 1 (*.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1))) (fma.f64 (neg.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 1 (*.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (*.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1))) (fma.f64 (neg.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 1 (*.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))) 4) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))) 5) (neg.f64 (*.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1))) (fma.f64 (neg.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 1 (*.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (cbrt.f64 (pow.f64 (PI.f64) 2)) (*.f64 (cbrt.f64 (PI.f64)) 1/2) (neg.f64 (*.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1))) (fma.f64 (neg.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 1 (*.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) 1/2) (neg.f64 (*.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1))) (fma.f64 (neg.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 1 (*.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1))) (fma.f64 (neg.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 1 (*.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (*.f64 1/2 (cbrt.f64 (pow.f64 (PI.f64) 2))) (cbrt.f64 (PI.f64)) (neg.f64 (*.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1))) (fma.f64 (neg.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 1 (*.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (*.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (*.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1))) (fma.f64 (neg.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 1 (*.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))) 2) 4) (cbrt.f64 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((x *.f64 (pow.f64 (cbrt.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2) (cbrt.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) (sqrt.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 3)) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (+.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 2) (*.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 2)) (fma.f64 (PI.f64) 1/2 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))) 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v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2))) (exp.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (PI.f64) 1/2 (neg.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 (PI.f64) (neg.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (PI.f64) 1/2) 1 (neg.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (neg.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))) 4) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))) 5) (neg.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (PI.f64) 2)) (*.f64 (cbrt.f64 (PI.f64)) 1/2) (neg.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) 1/2) (neg.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 (cbrt.f64 (pow.f64 (PI.f64) 2))) (cbrt.f64 (PI.f64)) (neg.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))) 2) 4) (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))) (neg.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (PI.f64))) (cbrt.f64 1/2) (neg.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 5/6) (pow.f64 (*.f64 (PI.f64) 1/2) 1/6) (neg.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))))

simplify61.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

747×	`cancel-sign-sub-inv_binary64`
721×	`fma-neg_binary64`
476×	`associate-l_binary64`
434×	`unswap-sqr_binary64`
410×	`associate-r_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	204
1	21	204
2	35	204
3	66	204
4	153	204
5	513	204
6	2429	204
7	5080	204

Stop Event

1×	node limit

Counts

148 → 138

Calls

Call 1

Inputs
(asin.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1)))
(asin.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1)))
(asin.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1)))
(asin.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1)))
(asin.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1)))
(asin.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1)))
(asin.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1)))
(asin.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1)))
(asin.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1)))
(asin.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1)))
(asin.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1)))
(asin.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1)))

Outputs
(asin.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1)))
(asin.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))
(asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(asin.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1)))
(asin.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))
(asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(asin.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1)))
(asin.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))
(asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(asin.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1)))
(asin.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))
(asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(asin.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1)))
(asin.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))
(asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(asin.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1)))
(asin.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))
(asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(asin.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1)))
(asin.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))
(asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(asin.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1)))
(asin.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))
(asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(asin.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1)))
(asin.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))
(asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(asin.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1)))
(asin.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))
(asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(asin.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1)))
(asin.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))
(asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(asin.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1)))
(asin.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))
(asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))

localize345.0ms (2.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(.f64 (cbrt.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1)))) (cbrt.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))))
	1.0b	(.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2)))
	1.0b	(cbrt.f64 (*.f64 (PI.f64) 1/2))
✓	61.9b	(fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1))))) (.f64 (cbrt.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1)))) (cbrt.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1))))) (.f64 (cbrt.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1)))) (.f64 (cbrt.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1)))) (cbrt.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))))))

Compiler

Compiled 475 to 307 computations (35.4% saved)

series25.0ms (0.2%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
11.0ms	v	@	inf	(fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1))))) (.f64 (cbrt.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1)))) (cbrt.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1))))) (.f64 (cbrt.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1)))) (.f64 (cbrt.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1)))) (cbrt.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))))))
6.0ms	v	@	0	(fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1))))) (.f64 (cbrt.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1)))) (cbrt.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1))))) (.f64 (cbrt.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1)))) (.f64 (cbrt.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1)))) (cbrt.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))))))
6.0ms	v	@	-inf	(fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1))))) (.f64 (cbrt.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1)))) (cbrt.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1))))) (.f64 (cbrt.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1)))) (.f64 (cbrt.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1)))) (cbrt.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))))))
0.0ms	v	@	0	(.f64 (cbrt.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1)))) (cbrt.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))))
0.0ms	v	@	-inf	(.f64 (cbrt.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1)))) (cbrt.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))))

rewrite446.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

536×	`log-prod_binary64`
404×	`prod-diff_binary64`
308×	`pow2_binary64`
306×	`pow-prod-down_binary64`
214×	`pow1/3_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	84
1	302	58
2	3338	46

Stop Event

1×	node limit

Counts

2 → 166

Calls

Call 1

Inputs

(fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))))) (*.f64 (cbrt.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))) (cbrt.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))))) (*.f64 (cbrt.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))) (*.f64 (cbrt.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))) (cbrt.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))))))

(*.f64 (cbrt.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))) (cbrt.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (exp.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2)) (log.f64 (pow.f64 (exp.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (exp.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) (sqrt.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (pow.f64 (exp.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) (neg.f64 (*.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) -1))) (fma.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) -1 (*.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 -1 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) (neg.f64 (*.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) -1))) (fma.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) -1 (*.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (cbrt.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) (pow.f64 (cbrt.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2) (neg.f64 (*.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) -1))) (fma.f64 (asin.f64 (/.f64 (fma.f64 v 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(*.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) (sqrt.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) (neg.f64 (*.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) -1))) (fma.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) -1 (*.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1/6) (*.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1/6) (pow.f64 (cbrt.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2)) (neg.f64 (*.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) -1))) (fma.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) -1 (*.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (*.f64 (cbrt.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) (cbrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 4))) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) 2) (neg.f64 (*.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) -1))) (fma.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) -1 (*.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (*.f64 (cbrt.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) (cbrt.f64 (cbrt.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))) 2) (cbrt.f64 (cbrt.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) (neg.f64 (*.f64 (asin.f64 (/.f64 (fma.f64 v 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simplify71.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

962×	`fma-def_binary64`
692×	`unswap-sqr_binary64`
412×	`distribute-rgt-in_binary64`
376×	`distribute-lft-in_binary64`
257×	`associate-+l+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	732
1	47	504
2	87	276
3	170	276
4	354	276
5	1023	276
6	2327	276
7	6508	276

Stop Event

1×	node limit

Counts

190 → 169

Calls

Call 1

Inputs
(+.f64 (asin.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) (.f64 -1 (.f64 (pow.f64 1 1/3) (asin.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))))))
(+.f64 (asin.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) (.f64 -1 (.f64 (pow.f64 1 1/3) (asin.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))))))
(+.f64 (asin.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) (.f64 -1 (.f64 (pow.f64 1 1/3) (asin.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))))))
(+.f64 (asin.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) (.f64 -1 (.f64 (pow.f64 1 1/3) (asin.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))))))
(+.f64 (asin.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) (.f64 -1 (.f64 (pow.f64 1 1/3) (asin.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))))))
(+.f64 (asin.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) (.f64 -1 (.f64 (pow.f64 1 1/3) (asin.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))))))
(+.f64 (asin.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) (.f64 -1 (.f64 (pow.f64 1 1/3) (asin.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))))))
(+.f64 (asin.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) (.f64 -1 (.f64 (pow.f64 1 1/3) (asin.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))))))
(+.f64 (asin.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) (.f64 -1 (.f64 (pow.f64 1 1/3) (asin.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))))))
(+.f64 (asin.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) (.f64 -1 (.f64 (pow.f64 1 1/3) (asin.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))))))
(+.f64 (asin.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) (.f64 -1 (.f64 (pow.f64 1 1/3) (asin.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))))))
(+.f64 (asin.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) (.f64 -1 (.f64 (pow.f64 1 1/3) (asin.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))))))
(pow.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) 2) 1/3)
(pow.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) 2) 1/3)
(pow.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) 2) 1/3)
(pow.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) 2) 1/3)
(pow.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) 2) 1/3)
(pow.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) 2) 1/3)
(pow.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) 2) 1/3)
(pow.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) 2) 1/3)
(pow.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) 2) 1/3)
(pow.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) 2) 1/3)
(pow.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) 2) 1/3)
(pow.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) 2) 1/3)

Outputs
(+.f64 (asin.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) (.f64 -1 (.f64 (pow.f64 1 1/3) (asin.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))))))
(+.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1))) (.f64 -1 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))))
(.f64 0 (asin.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1))))
0
(+.f64 (asin.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) (.f64 -1 (.f64 (pow.f64 1 1/3) (asin.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))))))
(+.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1))) (.f64 -1 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))))
(.f64 0 (asin.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1))))
0
(+.f64 (asin.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) (.f64 -1 (.f64 (pow.f64 1 1/3) (asin.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))))))
(+.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1))) (.f64 -1 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))))
(.f64 0 (asin.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1))))
0
(+.f64 (asin.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) (.f64 -1 (.f64 (pow.f64 1 1/3) (asin.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))))))
(+.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1))) (.f64 -1 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))))
(.f64 0 (asin.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1))))
0
(+.f64 (asin.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) (.f64 -1 (.f64 (pow.f64 1 1/3) (asin.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))))))
(+.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1))) (.f64 -1 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))))
(.f64 0 (asin.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1))))
0
(+.f64 (asin.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) (.f64 -1 (.f64 (pow.f64 1 1/3) (asin.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))))))
(+.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1))) (.f64 -1 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))))
(.f64 0 (asin.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1))))
0
(+.f64 (asin.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) (.f64 -1 (.f64 (pow.f64 1 1/3) (asin.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))))))
(+.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1))) (.f64 -1 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))))
(.f64 0 (asin.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1))))
0
(+.f64 (asin.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) (.f64 -1 (.f64 (pow.f64 1 1/3) (asin.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))))))
(+.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1))) (.f64 -1 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))))
(.f64 0 (asin.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1))))
0
(+.f64 (asin.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) (.f64 -1 (.f64 (pow.f64 1 1/3) (asin.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))))))
(+.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1))) (.f64 -1 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))))
(.f64 0 (asin.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1))))
0
(+.f64 (asin.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) (.f64 -1 (.f64 (pow.f64 1 1/3) (asin.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))))))
(+.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1))) (.f64 -1 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))))
(.f64 0 (asin.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1))))
0
(+.f64 (asin.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) (.f64 -1 (.f64 (pow.f64 1 1/3) (asin.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))))))
(+.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1))) (.f64 -1 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))))
(.f64 0 (asin.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1))))
0
(+.f64 (asin.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) (.f64 -1 (.f64 (pow.f64 1 1/3) (asin.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))))))
(+.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1))) (.f64 -1 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))))
(.f64 0 (asin.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1))))
0
(pow.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) 2) 1/3)
(cbrt.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))) 2))
(cbrt.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 2))
(pow.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) 2) 1/3)
(cbrt.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))) 2))
(cbrt.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 2))
(pow.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) 2) 1/3)
(cbrt.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))) 2))
(cbrt.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 2))
(pow.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) 2) 1/3)
(cbrt.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))) 2))
(cbrt.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 2))
(pow.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) 2) 1/3)
(cbrt.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))) 2))
(cbrt.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 2))
(pow.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) 2) 1/3)
(cbrt.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))) 2))
(cbrt.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 2))
(pow.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) 2) 1/3)
(cbrt.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))) 2))
(cbrt.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 2))
(pow.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) 2) 1/3)
(cbrt.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))) 2))
(cbrt.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 2))
(pow.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) 2) 1/3)
(cbrt.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))) 2))
(cbrt.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 2))
(pow.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) 2) 1/3)
(cbrt.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))) 2))
(cbrt.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 2))
(pow.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) 2) 1/3)
(cbrt.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))) 2))
(cbrt.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 2))
(pow.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) 2) 1/3)
(cbrt.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))) 2))
(cbrt.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 2))

eval2.7s (17.6%)

Compiler: Compiled 68459 to 48474 computations (29.2% saved)

prune115.0ms (0.8%)

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	802	6	808
Fresh	0	0	0
Picked	1	0	1
Done	1	4	5
Total	804	10	814

Error

0.5b

Counts

814 → 10

Alt Table

Click to see full alt table

Status	Error	Program
▶	2.7b	(fma.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (PI.f64) 1/2))) 6) (cbrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))))
✓	1.4b	(pow.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))) 2)
▶	1.6b	(pow.f64 (sqrt.f64 (acos.f64 -1)) 2)
▶	2.4b	(pow.f64 (expm1.f64 (log1p.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))) 2)
▶	1.6b	(pow.f64 (cbrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1))) 3)
▶	0.6b	(-.f64 (+.f64 1 (acos.f64 (fma.f64 v (*.f64 v 4) -1))) 1)
	3.2b	(+.f64 (fma.f64 (.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) (cbrt.f64 (.f64 (PI.f64) 1/2))) (cbrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (.f64 (cbrt.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1)))) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) 6)))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1))))) (.f64 (cbrt.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1)))) (cbrt.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1))))) (.f64 (cbrt.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1)))) (.f64 (cbrt.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1)))) (cbrt.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1))))))))
✓	0.6b	(acos.f64 (fma.f64 v (*.f64 v 4) -1))
✓	0.5b	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))
✓	0.7b	(acos.f64 -1)

Compiler

Compiled 448 to 331 computations (26.1% saved)

localize18.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 1 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))
✓	0.0b	(-.f64 (+.f64 1 (acos.f64 (fma.f64 v (*.f64 v 4) -1))) 1)
	0.5b	(acos.f64 (fma.f64 v (*.f64 v 4) -1))

Compiler

Compiled 41 to 31 computations (24.4% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	v	@	0	(-.f64 (+.f64 1 (acos.f64 (fma.f64 v (*.f64 v 4) -1))) 1)
0.0ms	v	@	inf	(+.f64 1 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))
0.0ms	v	@	inf	(-.f64 (+.f64 1 (acos.f64 (fma.f64 v (*.f64 v 4) -1))) 1)
0.0ms	v	@	0	(+.f64 1 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))
0.0ms	v	@	-inf	(+.f64 1 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))

rewrite78.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

530×	`unpow-prod-down_binary64`
384×	`log-prod_binary64`
285×	`fma-def_binary64`
281×	`prod-diff_binary64`
244×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	29
1	215	23
2	2747	23

Stop Event

1×	node limit

Counts

2 → 162

Calls

Call 1

Inputs
(-.f64 (+.f64 1 (acos.f64 (fma.f64 v (*.f64 v 4) -1))) 1)
(+.f64 1 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (acos.f64 (fma.f64 v (*.f64 v 4) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (fma.f64 v (*.f64 v 4) -1)))) (sqrt.f64 (asin.f64 (fma.f64 v (*.f64 v 4) -1))) (asin.f64 (fma.f64 v (*.f64 v 4) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (acos.f64 (fma.f64 v (*.f64 v 4) -1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (fma.f64 v (*.f64 v 4) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x 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1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 2)) 2) (cbrt.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (-.f64 (asin.f64 (fma.f64 v (*.f64 v 4) -1)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 2)) (sqrt.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1))))) 1)))))

simplify16.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`fma-def_binary64`
2×	`+-commutative_binary64`
2×	`associate-r_binary64`
1×	`*-commutative_binary64`
1×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	276
1	15	276
2	19	276
3	22	276
4	23	276

Stop Event

1×

saturated

Counts

186 → 165

Calls

Call 1

Inputs
(acos.f64 (fma.f64 v (*.f64 4 v) -1))
(acos.f64 (fma.f64 v (*.f64 4 v) -1))
(acos.f64 (fma.f64 v (*.f64 4 v) -1))
(acos.f64 (fma.f64 v (*.f64 4 v) -1))
(acos.f64 (fma.f64 v (*.f64 4 v) -1))
(acos.f64 (fma.f64 v (*.f64 4 v) -1))
(acos.f64 (fma.f64 v (*.f64 4 v) -1))
(acos.f64 (fma.f64 v (*.f64 4 v) -1))
(acos.f64 (fma.f64 v (*.f64 4 v) -1))
(acos.f64 (fma.f64 v (*.f64 4 v) -1))
(acos.f64 (fma.f64 v (*.f64 4 v) -1))
(acos.f64 (fma.f64 v (*.f64 4 v) -1))
(+.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1)
(+.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1)
(+.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1)
(+.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1)
(+.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1)
(+.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1)
(+.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1)
(+.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1)
(+.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1)
(+.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1)
(+.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1)
(+.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1)

Outputs
(acos.f64 (fma.f64 v (*.f64 4 v) -1))
(acos.f64 (fma.f64 v (*.f64 v 4) -1))
(acos.f64 (fma.f64 v (*.f64 4 v) -1))
(acos.f64 (fma.f64 v (*.f64 v 4) -1))
(acos.f64 (fma.f64 v (*.f64 4 v) -1))
(acos.f64 (fma.f64 v (*.f64 v 4) -1))
(acos.f64 (fma.f64 v (*.f64 4 v) -1))
(acos.f64 (fma.f64 v (*.f64 v 4) -1))
(acos.f64 (fma.f64 v (*.f64 4 v) -1))
(acos.f64 (fma.f64 v (*.f64 v 4) -1))
(acos.f64 (fma.f64 v (*.f64 4 v) -1))
(acos.f64 (fma.f64 v (*.f64 v 4) -1))
(acos.f64 (fma.f64 v (*.f64 4 v) -1))
(acos.f64 (fma.f64 v (*.f64 v 4) -1))
(acos.f64 (fma.f64 v (*.f64 4 v) -1))
(acos.f64 (fma.f64 v (*.f64 v 4) -1))
(acos.f64 (fma.f64 v (*.f64 4 v) -1))
(acos.f64 (fma.f64 v (*.f64 v 4) -1))
(acos.f64 (fma.f64 v (*.f64 4 v) -1))
(acos.f64 (fma.f64 v (*.f64 v 4) -1))
(acos.f64 (fma.f64 v (*.f64 4 v) -1))
(acos.f64 (fma.f64 v (*.f64 v 4) -1))
(acos.f64 (fma.f64 v (*.f64 4 v) -1))
(acos.f64 (fma.f64 v (*.f64 v 4) -1))
(+.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1)
(+.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 1)
(+.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1)
(+.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 1)
(+.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1)
(+.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 1)
(+.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1)
(+.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 1)
(+.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1)
(+.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 1)
(+.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1)
(+.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 1)
(+.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1)
(+.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 1)
(+.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1)
(+.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 1)
(+.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1)
(+.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 1)
(+.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1)
(+.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 1)
(+.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1)
(+.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 1)
(+.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1)
(+.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 1)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	1.0b	(pow.f64 (sqrt.f64 (acos.f64 -1)) 2)
✓	1.0b	(sqrt.f64 (acos.f64 -1))

Compiler

Compiled 13 to 13 computations (0% saved)

series0.0ms (0%)

Counts: 2 → 0

rewrite49.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

409×	`pow1_binary64`
402×	`add-sqr-sqrt_binary64`
391×	`*-un-lft-identity_binary64`
382×	`add-log-exp_binary64`
382×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	123	8
2	1059	8

Stop Event

1×	node limit

Counts

2 → 81

Calls

Call 1

Inputs
(sqrt.f64 (acos.f64 -1))
(pow.f64 (sqrt.f64 (acos.f64 -1)) 2)

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (acos.f64 -1) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 -1))) (sqrt.f64 (asin.f64 -1)) (asin.f64 -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (acos.f64 -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 -1))) 2)) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 -1)))) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (*.f64 (asin.f64 -1) 1))) (fma.f64 (neg.f64 (asin.f64 -1)) 1 (*.f64 (asin.f64 -1) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (*.f64 (asin.f64 -1) 1))) (fma.f64 (neg.f64 (asin.f64 -1)) 1 (*.f64 (asin.f64 -1) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (asin.f64 -1) 1))) (fma.f64 (neg.f64 (asin.f64 -1)) 1 (*.f64 (asin.f64 -1) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (asin.f64 -1) 1))) (fma.f64 (neg.f64 (asin.f64 -1)) 1 (*.f64 (asin.f64 -1) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 -1)) (pow.f64 (cbrt.f64 (asin.f64 -1)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 -1))) (pow.f64 (cbrt.f64 (asin.f64 -1)) 2) (*.f64 (cbrt.f64 (asin.f64 -1)) (pow.f64 (cbrt.f64 (asin.f64 -1)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (*.f64 (cbrt.f64 (asin.f64 -1)) (pow.f64 (cbrt.f64 (asin.f64 -1)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 -1))) (pow.f64 (cbrt.f64 (asin.f64 -1)) 2) (*.f64 (cbrt.f64 (asin.f64 -1)) (pow.f64 (cbrt.f64 (asin.f64 -1)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 -1)) (pow.f64 (cbrt.f64 (asin.f64 -1)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 -1))) (pow.f64 (cbrt.f64 (asin.f64 -1)) 2) (*.f64 (cbrt.f64 (asin.f64 -1)) (pow.f64 (cbrt.f64 (asin.f64 -1)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 -1)) (pow.f64 (cbrt.f64 (asin.f64 -1)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 -1))) (pow.f64 (cbrt.f64 (asin.f64 -1)) 2) (*.f64 (cbrt.f64 (asin.f64 -1)) (pow.f64 (cbrt.f64 (asin.f64 -1)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (PI.f64) 1/2) (asin.f64 -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (acos.f64 -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (acos.f64 -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (acos.f64 -1)) (sqrt.f64 (acos.f64 -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (acos.f64 -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (acos.f64 -1)) (pow.f64 (cbrt.f64 (acos.f64 -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (acos.f64 -1)) (*.f64 (sqrt.f64 (cbrt.f64 (acos.f64 -1))) (sqrt.f64 (acos.f64 -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (acos.f64 -1)) (pow.f64 (*.f64 (cbrt.f64 (acos.f64 -1)) (acos.f64 -1)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (acos.f64 -1)) 2) (cbrt.f64 (acos.f64 -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (acos.f64 -1) 1/4) (sqrt.f64 (pow.f64 (acos.f64 -1) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (acos.f64 -1) 1/4) (*.f64 (pow.f64 (acos.f64 -1) 1/4) (sqrt.f64 (acos.f64 -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (acos.f64 -1) 1/4) 3) (pow.f64 (acos.f64 -1) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (acos.f64 -1) 3/2)) (pow.f64 (acos.f64 -1) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (acos.f64 -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (acos.f64 -1)) (cbrt.f64 (acos.f64 -1))) (sqrt.f64 (cbrt.f64 (acos.f64 -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (acos.f64 -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 1 1/2) 2) (acos.f64 -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (acos.f64 -1)) 2) 2) 1/2) (cbrt.f64 (acos.f64 -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (acos.f64 -1) (pow.f64 (cbrt.f64 (acos.f64 -1)) 2)) 1/2) (sqrt.f64 (cbrt.f64 (acos.f64 -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (acos.f64 -1) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (acos.f64 -1) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (acos.f64 -1) 2) (sqrt.f64 (acos.f64 -1))) 1/3) (sqrt.f64 (cbrt.f64 (acos.f64 -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (acos.f64 -1) 2) (pow.f64 (cbrt.f64 (acos.f64 -1)) 2)) 1/3) (cbrt.f64 (cbrt.f64 (acos.f64 -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 -1))) 2) 3) (cbrt.f64 (acos.f64 -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 -1) 3)) (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (+.f64 (pow.f64 (asin.f64 -1) 2) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (pow.f64 (asin.f64 -1) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 -1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (acos.f64 -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (acos.f64 -1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (acos.f64 -1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x acos.f64 -1)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (acos.f64 -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (acos.f64 -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (acos.f64 -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (PI.f64) 1/2 (neg.f64 (asin.f64 -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 -1)))))))

simplify8.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

81 → 81

Calls

Call 1

Inputs

Outputs

localize19.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.5b	(acos.f64 (fma.f64 v (*.f64 v 4) -1))
✓	1.0b	(cbrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))
✓	1.6b	(pow.f64 (cbrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1))) 3)

Compiler

Compiled 39 to 29 computations (25.6% saved)

series8.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	v	@	0	(pow.f64 (cbrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1))) 3)
2.0ms	v	@	-inf	(pow.f64 (cbrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1))) 3)
2.0ms	v	@	inf	(pow.f64 (cbrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1))) 3)
0.0ms	v	@	0	(cbrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))
0.0ms	v	@	inf	(cbrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))

rewrite65.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

787×	`pow1_binary64`
737×	`add-log-exp_binary64`
737×	`log1p-expm1-u_binary64`
737×	`expm1-log1p-u_binary64`
721×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	22
1	207	22
2	2031	22

Stop Event

1×	node limit

Counts

2 → 43

Calls

Call 1

Inputs
(pow.f64 (cbrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1))) 3)
(cbrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (fma.f64 v (*.f64 v 4) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 v (*.f64 v 4) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (acos.f64 (fma.f64 v (*.f64 v 4) -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1))) (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1))) 2) (cbrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))) (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 1/6) (*.f64 (pow.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 1/6) (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1))) (sqrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))) 2) 3) (cbrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 1/6) 3) (pow.f64 (pow.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1))) 2) 1) (cbrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))) 2)) (cbrt.f64 (cbrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1))) 2) (pow.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 1/6)) (pow.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v 4) -1)) 3)) (+.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (+.f64 (*.f64 (asin.f64 (fma.f64 v (*.f64 v 4) -1)) (asin.f64 (fma.f64 v (*.f64 v 4) -1))) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 v (*.f64 v 4) -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (asin.f64 (fma.f64 v (*.f64 v 4) -1)) (asin.f64 (fma.f64 v (*.f64 v 4) -1)))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 v (*.f64 v 4) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x acos.f64 (fma.f64 v (*.f64 v 4) -1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1))))))))

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

simplify202.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1290×	`sqr-pow_binary64`
676×	`cube-prod_binary64`
666×	`pow-sqr_binary64`
557×	`fabs-mul_binary64`
373×	`unpow3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	300
1	28	264
2	40	264
3	54	264
4	79	264
5	165	264
6	532	264
7	1194	264
8	1286	264
9	1424	264
10	1587	264
11	1825	264
12	2152	264
13	2579	264
14	3084	264
15	3689	264
16	4416	264
17	4739	264
18	5023	264
19	5243	264
20	5421	264
21	5503	264
22	6446	264
23	7423	264
24	7889	264

Stop Event

1×	node limit

Counts

67 → 46

Calls

Call 1

Inputs
(.f64 (acos.f64 (fma.f64 v (.f64 4 v) -1)) (pow.f64 1 1/3))
(.f64 (acos.f64 (fma.f64 v (.f64 4 v) -1)) (pow.f64 1 1/3))
(.f64 (acos.f64 (fma.f64 v (.f64 4 v) -1)) (pow.f64 1 1/3))
(.f64 (acos.f64 (fma.f64 v (.f64 4 v) -1)) (pow.f64 1 1/3))
(.f64 (acos.f64 (fma.f64 v (.f64 4 v) -1)) (pow.f64 1 1/3))
(.f64 (acos.f64 (fma.f64 v (.f64 4 v) -1)) (pow.f64 1 1/3))
(.f64 (acos.f64 (fma.f64 v (.f64 4 v) -1)) (pow.f64 1 1/3))
(.f64 (acos.f64 (fma.f64 v (.f64 4 v) -1)) (pow.f64 1 1/3))
(.f64 (acos.f64 (fma.f64 v (.f64 4 v) -1)) (pow.f64 1 1/3))
(.f64 (acos.f64 (fma.f64 v (.f64 4 v) -1)) (pow.f64 1 1/3))
(.f64 (acos.f64 (fma.f64 v (.f64 4 v) -1)) (pow.f64 1 1/3))
(.f64 (acos.f64 (fma.f64 v (.f64 4 v) -1)) (pow.f64 1 1/3))
(pow.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1/3)
(pow.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1/3)
(pow.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1/3)
(pow.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1/3)
(pow.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1/3)
(pow.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1/3)
(pow.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1/3)
(pow.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1/3)
(pow.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1/3)
(pow.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1/3)
(pow.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1/3)
(pow.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1/3)

Outputs
(.f64 (acos.f64 (fma.f64 v (.f64 4 v) -1)) (pow.f64 1 1/3))
(.f64 (acos.f64 (fma.f64 v (.f64 v 4) -1)) 1)
(acos.f64 (fma.f64 v (*.f64 v 4) -1))
(.f64 (acos.f64 (fma.f64 v (.f64 4 v) -1)) (pow.f64 1 1/3))
(.f64 (acos.f64 (fma.f64 v (.f64 v 4) -1)) 1)
(acos.f64 (fma.f64 v (*.f64 v 4) -1))
(.f64 (acos.f64 (fma.f64 v (.f64 4 v) -1)) (pow.f64 1 1/3))
(.f64 (acos.f64 (fma.f64 v (.f64 v 4) -1)) 1)
(acos.f64 (fma.f64 v (*.f64 v 4) -1))
(.f64 (acos.f64 (fma.f64 v (.f64 4 v) -1)) (pow.f64 1 1/3))
(.f64 (acos.f64 (fma.f64 v (.f64 v 4) -1)) 1)
(acos.f64 (fma.f64 v (*.f64 v 4) -1))
(.f64 (acos.f64 (fma.f64 v (.f64 4 v) -1)) (pow.f64 1 1/3))
(.f64 (acos.f64 (fma.f64 v (.f64 v 4) -1)) 1)
(acos.f64 (fma.f64 v (*.f64 v 4) -1))
(.f64 (acos.f64 (fma.f64 v (.f64 4 v) -1)) (pow.f64 1 1/3))
(.f64 (acos.f64 (fma.f64 v (.f64 v 4) -1)) 1)
(acos.f64 (fma.f64 v (*.f64 v 4) -1))
(.f64 (acos.f64 (fma.f64 v (.f64 4 v) -1)) (pow.f64 1 1/3))
(.f64 (acos.f64 (fma.f64 v (.f64 v 4) -1)) 1)
(acos.f64 (fma.f64 v (*.f64 v 4) -1))
(.f64 (acos.f64 (fma.f64 v (.f64 4 v) -1)) (pow.f64 1 1/3))
(.f64 (acos.f64 (fma.f64 v (.f64 v 4) -1)) 1)
(acos.f64 (fma.f64 v (*.f64 v 4) -1))
(.f64 (acos.f64 (fma.f64 v (.f64 4 v) -1)) (pow.f64 1 1/3))
(.f64 (acos.f64 (fma.f64 v (.f64 v 4) -1)) 1)
(acos.f64 (fma.f64 v (*.f64 v 4) -1))
(.f64 (acos.f64 (fma.f64 v (.f64 4 v) -1)) (pow.f64 1 1/3))
(.f64 (acos.f64 (fma.f64 v (.f64 v 4) -1)) 1)
(acos.f64 (fma.f64 v (*.f64 v 4) -1))
(.f64 (acos.f64 (fma.f64 v (.f64 4 v) -1)) (pow.f64 1 1/3))
(.f64 (acos.f64 (fma.f64 v (.f64 v 4) -1)) 1)
(acos.f64 (fma.f64 v (*.f64 v 4) -1))
(.f64 (acos.f64 (fma.f64 v (.f64 4 v) -1)) (pow.f64 1 1/3))
(.f64 (acos.f64 (fma.f64 v (.f64 v 4) -1)) 1)
(acos.f64 (fma.f64 v (*.f64 v 4) -1))
(pow.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1/3)
(cbrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))
(pow.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1/3)
(cbrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))
(pow.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1/3)
(cbrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))
(pow.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1/3)
(cbrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))
(pow.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1/3)
(cbrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))
(pow.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1/3)
(cbrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))
(pow.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1/3)
(cbrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))
(pow.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1/3)
(cbrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))
(pow.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1/3)
(cbrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))
(pow.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1/3)
(cbrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))
(pow.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1/3)
(cbrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))
(pow.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1/3)
(cbrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))

localize67.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
✓	1.0b	(sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
✓	1.0b	(pow.f64 (expm1.f64 (log1p.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))) 2)
✓	1.0b	(expm1.f64 (log1p.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))

Compiler

Compiled 101 to 71 computations (29.7% saved)

series6.0ms (0%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	v	@	0	(expm1.f64 (log1p.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))
1.0ms	v	@	0	(pow.f64 (expm1.f64 (log1p.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))) 2)
1.0ms	v	@	inf	(pow.f64 (expm1.f64 (log1p.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))) 2)
1.0ms	v	@	-inf	(pow.f64 (expm1.f64 (log1p.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))) 2)
1.0ms	v	@	inf	(expm1.f64 (log1p.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))

rewrite101.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

526×	`log-prod_binary64`
412×	`exp-prod_binary64`
306×	`pow2_binary64`
277×	`pow-prod-down_binary64`
214×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	72
1	283	72
2	2950	72

Stop Event

1×	node limit

Counts

4 → 185

Calls

Call 1

Inputs
(expm1.f64 (log1p.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))
(pow.f64 (expm1.f64 (log1p.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))) 2)
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 1/6) (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) (pow.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 1/4) (pow.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 1 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) 3) 1) (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) 2) (+.f64 1 (.f64 (+.f64 1 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 1 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) 2) 1) (+.f64 (+.f64 1 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 2) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 3) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 1/6) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1/2) (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))) 2)) (cbrt.f64 (log.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))))) (sqrt.f64 (log.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3/2 (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 1/4 (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))) 2) (cbrt.f64 (+.f64 1 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 1/4)) (hypot.f64 1 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1/4)) -1)))))
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(acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))) (sqrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 2 (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (PI.f64) 1/2 (neg.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))))))

simplify208.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

859×	`fma-neg_binary64`
674×	`unsub-neg_binary64`
421×	`sub-neg_binary64`
389×	`distribute-neg-in_binary64`
342×	`div-sub_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	864
1	18	864
2	25	864
3	34	864
4	52	864
5	93	864
6	175	864
7	387	864
8	794	864
9	2627	864
10	4763	864
11	7031	864

Stop Event

1×	node limit

Counts

233 → 102

Calls

Call 1

Inputs
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))

Outputs
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))
(sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))

localize193.0ms (1.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))
	0.5b	(asin.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))
	1.0b	(cbrt.f64 (*.f64 (PI.f64) 1/2))
✓	1.6b	(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))) 6)

Compiler

Compiled 101 to 67 computations (33.7% saved)

series0.0ms (0%)

Counts: 1 → 0

rewrite116.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

631×	`pow1_binary64`
593×	`add-log-exp_binary64`
593×	`log1p-expm1-u_binary64`
593×	`expm1-log1p-u_binary64`
578×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	12
1	163	10
2	1748	10

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

Inputs
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))) 6)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))) 12)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (*.f64 (PI.f64) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))) 12)) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (PI.f64)) (*.f64 (cbrt.f64 1/2) (cbrt.f64 (*.f64 (PI.f64) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 1/6) (*.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 1/6) (cbrt.f64 (*.f64 (PI.f64) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (pow.f64 (*.f64 (PI.f64) 1/2) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)))) 2) 6) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 1/6) 6) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 1/6) 6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (PI.f64))) (cbrt.f64 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))) 12))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2)))))))

simplify31.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

21 → 21

Calls

Call 1

Inputs

Outputs

eval578.0ms (3.8%)

Compiler: Compiled 17684 to 13969 computations (21% saved)

prune159.0ms (1%)

Pruning

13 alts after pruning (6 fresh and 7 done)

	Pruned	Kept	Total
New	664	6	670
Fresh	1	0	1
Picked	1	0	1
Done	1	7	8
Total	667	13	680

Error

0.5b

Counts

680 → 13

Alt Table

Click to see full alt table

Status	Error	Program
	3.4b	(fma.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (PI.f64) 1/2))) 6) (cbrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (+.f64 (fma.f64 (pow.f64 (.f64 (PI.f64) 1/2) 5/6) (pow.f64 (.f64 (PI.f64) 1/2) 1/6) (neg.f64 (.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 2) (.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 2))))))
▶	2.9b	(fma.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (PI.f64) 1/2))) 6) (cbrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 -1)))
✓	1.4b	(pow.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))) 2)
✓	1.6b	(pow.f64 (sqrt.f64 (acos.f64 -1)) 2)
▶	2.6b	(pow.f64 (expm1.f64 (log1p.f64 (sqrt.f64 (acos.f64 -1)))) 2)
✓	1.6b	(pow.f64 (cbrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1))) 3)
▶	2.1b	(-.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))) 3) 1)
✓	0.6b	(-.f64 (+.f64 1 (acos.f64 (fma.f64 v (*.f64 v 4) -1))) 1)
▶	3.3b	(-.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (fma.f64 v (.f64 v 4) -1))))) 2) 3) (cbrt.f64 (+.f64 1 (acos.f64 (fma.f64 v (*.f64 v 4) -1))))) 1)
▶	1.6b	(.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (acos.f64 (fma.f64 v (.f64 v 4) -1)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))) 3))
✓	0.6b	(acos.f64 (fma.f64 v (*.f64 v 4) -1))
✓	0.5b	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))
✓	0.7b	(acos.f64 -1)

Compiler

Compiled 485 to 394 computations (18.8% saved)

localize36.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f64 (sqrt.f64 (cbrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))) 3)
	0.5b	(acos.f64 (fma.f64 v (*.f64 v 4) -1))
✓	1.0b	(.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (acos.f64 (fma.f64 v (.f64 v 4) -1)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))) 3))
	1.0b	(cbrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))

Compiler

Compiled 72 to 56 computations (22.2% saved)

series119.0ms (0.8%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
70.0ms	v	@	0	(pow.f64 (sqrt.f64 (cbrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))) 3)
21.0ms	v	@	inf	(pow.f64 (sqrt.f64 (cbrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))) 3)
18.0ms	v	@	-inf	(pow.f64 (sqrt.f64 (cbrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))) 3)
8.0ms	v	@	-inf	(.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (acos.f64 (fma.f64 v (.f64 v 4) -1)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))) 3))
1.0ms	v	@	0	(.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (acos.f64 (fma.f64 v (.f64 v 4) -1)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))) 3))

rewrite99.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

927×	`pow1_binary64`
870×	`add-log-exp_binary64`
870×	`log1p-expm1-u_binary64`
870×	`expm1-log1p-u_binary64`
112×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	30
1	251	22
2	2665	22

Stop Event

1×	node limit

Counts

2 → 42

Calls

Call 1

Inputs

(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))) 3))

(pow.f64 (sqrt.f64 (cbrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))) 3)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (fma.f64 v (*.f64 v 4) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 v (*.f64 v 4) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v 4) -1)) 3)) (+.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (+.f64 (*.f64 (asin.f64 (fma.f64 v (*.f64 v 4) -1)) (asin.f64 (fma.f64 v (*.f64 v 4) -1))) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 v (*.f64 v 4) -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (asin.f64 (fma.f64 v (*.f64 v 4) -1)) (asin.f64 (fma.f64 v (*.f64 v 4) -1)))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 v (*.f64 v 4) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 1/6) 6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1))) 2) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x acos.f64 (fma.f64 v (*.f64 v 4) -1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1))) (pow.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 1/6) (cbrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))) (*.f64 (cbrt.f64 (pow.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 1/6)) (cbrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))) (pow.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1))) 1/4) (*.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1))) 1/4) (cbrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sqrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))) (sqrt.f64 (sqrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 3/2) (sqrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))) 2) 3/2) (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1))) 1/4) 3) (pow.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1))) 1/4) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1))) (cbrt.f64 (cbrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1))))) (cbrt.f64 (pow.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1))) (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1))) 1/4)) (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 1/6) (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))) 2)) (cbrt.f64 (cbrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1))) 9/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))))))))

simplify15.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`fma-def_binary64`
2×	`associate-r_binary64`
1×	`+-commutative_binary64`
1×	`*-commutative_binary64`
1×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	264
1	11	264
2	15	264
3	18	264
4	19	264

Stop Event

1×

saturated

Counts

66 → 44

Calls

Call 1

Inputs
(acos.f64 (fma.f64 v (*.f64 4 v) -1))
(acos.f64 (fma.f64 v (*.f64 4 v) -1))
(acos.f64 (fma.f64 v (*.f64 4 v) -1))
(acos.f64 (fma.f64 v (*.f64 4 v) -1))
(acos.f64 (fma.f64 v (*.f64 4 v) -1))
(acos.f64 (fma.f64 v (*.f64 4 v) -1))
(acos.f64 (fma.f64 v (*.f64 4 v) -1))
(acos.f64 (fma.f64 v (*.f64 4 v) -1))
(acos.f64 (fma.f64 v (*.f64 4 v) -1))
(acos.f64 (fma.f64 v (*.f64 4 v) -1))
(acos.f64 (fma.f64 v (*.f64 4 v) -1))
(acos.f64 (fma.f64 v (*.f64 4 v) -1))
(sqrt.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)))
(sqrt.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)))
(sqrt.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)))
(sqrt.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)))
(sqrt.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)))
(sqrt.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)))
(sqrt.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)))
(sqrt.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)))
(sqrt.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)))
(sqrt.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)))
(sqrt.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)))
(sqrt.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)))

Outputs
(acos.f64 (fma.f64 v (*.f64 4 v) -1))
(acos.f64 (fma.f64 v (*.f64 v 4) -1))
(acos.f64 (fma.f64 v (*.f64 4 v) -1))
(acos.f64 (fma.f64 v (*.f64 v 4) -1))
(acos.f64 (fma.f64 v (*.f64 4 v) -1))
(acos.f64 (fma.f64 v (*.f64 v 4) -1))
(acos.f64 (fma.f64 v (*.f64 4 v) -1))
(acos.f64 (fma.f64 v (*.f64 v 4) -1))
(acos.f64 (fma.f64 v (*.f64 4 v) -1))
(acos.f64 (fma.f64 v (*.f64 v 4) -1))
(acos.f64 (fma.f64 v (*.f64 4 v) -1))
(acos.f64 (fma.f64 v (*.f64 v 4) -1))
(acos.f64 (fma.f64 v (*.f64 4 v) -1))
(acos.f64 (fma.f64 v (*.f64 v 4) -1))
(acos.f64 (fma.f64 v (*.f64 4 v) -1))
(acos.f64 (fma.f64 v (*.f64 v 4) -1))
(acos.f64 (fma.f64 v (*.f64 4 v) -1))
(acos.f64 (fma.f64 v (*.f64 v 4) -1))
(acos.f64 (fma.f64 v (*.f64 4 v) -1))
(acos.f64 (fma.f64 v (*.f64 v 4) -1))
(acos.f64 (fma.f64 v (*.f64 4 v) -1))
(acos.f64 (fma.f64 v (*.f64 v 4) -1))
(acos.f64 (fma.f64 v (*.f64 4 v) -1))
(acos.f64 (fma.f64 v (*.f64 v 4) -1))
(sqrt.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)))
(sqrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))
(sqrt.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)))
(sqrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))
(sqrt.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)))
(sqrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))
(sqrt.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)))
(sqrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))
(sqrt.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)))
(sqrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))
(sqrt.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)))
(sqrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))
(sqrt.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)))
(sqrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))
(sqrt.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)))
(sqrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))
(sqrt.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)))
(sqrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))
(sqrt.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)))
(sqrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))
(sqrt.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)))
(sqrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))
(sqrt.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)))
(sqrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))

localize32.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))) 3) 1)
	0.5b	(acos.f64 (fma.f64 v (*.f64 v 4) -1))
✓	1.0b	(cbrt.f64 (+.f64 1 (acos.f64 (fma.f64 v (*.f64 v 4) -1))))
✓	1.0b	(pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))) 3)

Compiler

Compiled 67 to 53 computations (20.9% saved)

series14.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
6.0ms	v	@	-inf	(pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))) 3)
3.0ms	v	@	0	(pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))) 3)
3.0ms	v	@	inf	(pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))) 3)
0.0ms	v	@	0	(-.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))) 3) 1)
0.0ms	v	@	inf	(-.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))) 3) 1)

rewrite89.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

445×	`log-prod_binary64`
386×	`prod-diff_binary64`
289×	`fma-def_binary64`
278×	`pow2_binary64`
262×	`pow-prod-down_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	44
1	280	38
2	3159	38

Stop Event

1×	node limit

Counts

3 → 171

Calls

Call 1

Inputs

(pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))) 3)

(cbrt.f64 (+.f64 1 (acos.f64 (fma.f64 v (*.f64 v 4) -1))))

(-.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))) 3) 1)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 1 (acos.f64 (fma.f64 v (*.f64 v 4) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 1 (acos.f64 (fma.f64 v (*.f64 v 4) -1))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 1 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 1 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 1 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (PI.f64) 1/2) (-.f64 (asin.f64 (fma.f64 v (*.f64 v 4) -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 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simplify79.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

825×	`fma-neg_binary64`
582×	`cancel-sign-sub-inv_binary64`
573×	`associate--l-_binary64`
546×	`associate--r-_binary64`
388×	`associate--r+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	576
1	56	492
2	101	456
3	255	456
4	1016	456
5	2400	456
6	7878	456

Stop Event

1×	node limit

Counts

207 → 177

Calls

Call 1

Inputs
(.f64 (+.f64 (acos.f64 (fma.f64 v (.f64 4 v) -1)) 1) (pow.f64 1 1/3))
(.f64 (+.f64 (acos.f64 (fma.f64 v (.f64 4 v) -1)) 1) (pow.f64 1 1/3))
(.f64 (+.f64 (acos.f64 (fma.f64 v (.f64 4 v) -1)) 1) (pow.f64 1 1/3))
(.f64 (+.f64 (acos.f64 (fma.f64 v (.f64 4 v) -1)) 1) (pow.f64 1 1/3))
(.f64 (pow.f64 1 1/3) (+.f64 (acos.f64 (fma.f64 v (.f64 4 v) -1)) 1))
(.f64 (pow.f64 1 1/3) (+.f64 (acos.f64 (fma.f64 v (.f64 4 v) -1)) 1))
(.f64 (pow.f64 1 1/3) (+.f64 (acos.f64 (fma.f64 v (.f64 4 v) -1)) 1))
(.f64 (pow.f64 1 1/3) (+.f64 (acos.f64 (fma.f64 v (.f64 4 v) -1)) 1))
(.f64 (pow.f64 1 1/3) (+.f64 (acos.f64 (fma.f64 v (.f64 4 v) -1)) 1))
(.f64 (pow.f64 1 1/3) (+.f64 (acos.f64 (fma.f64 v (.f64 4 v) -1)) 1))
(.f64 (pow.f64 1 1/3) (+.f64 (acos.f64 (fma.f64 v (.f64 4 v) -1)) 1))
(.f64 (pow.f64 1 1/3) (+.f64 (acos.f64 (fma.f64 v (.f64 4 v) -1)) 1))
(pow.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1) 1/3)
(pow.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1) 1/3)
(pow.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1) 1/3)
(pow.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1) 1/3)
(pow.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1) 1/3)
(pow.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1) 1/3)
(pow.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1) 1/3)
(pow.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1) 1/3)
(pow.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1) 1/3)
(pow.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1) 1/3)
(pow.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1) 1/3)
(pow.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1) 1/3)
(-.f64 (.f64 (+.f64 (acos.f64 (fma.f64 v (.f64 4 v) -1)) 1) (pow.f64 1 1/3)) 1)
(-.f64 (.f64 (+.f64 (acos.f64 (fma.f64 v (.f64 4 v) -1)) 1) (pow.f64 1 1/3)) 1)
(-.f64 (.f64 (+.f64 (acos.f64 (fma.f64 v (.f64 4 v) -1)) 1) (pow.f64 1 1/3)) 1)
(-.f64 (.f64 (+.f64 (acos.f64 (fma.f64 v (.f64 4 v) -1)) 1) (pow.f64 1 1/3)) 1)
(-.f64 (pow.f64 (pow.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1) 3) 1/3) 1)
(-.f64 (pow.f64 (pow.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1) 3) 1/3) 1)
(-.f64 (pow.f64 (pow.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1) 3) 1/3) 1)
(-.f64 (pow.f64 (pow.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1) 3) 1/3) 1)
(-.f64 (.f64 (+.f64 (acos.f64 (fma.f64 v (.f64 4 v) -1)) 1) (pow.f64 1 1/3)) 1)
(-.f64 (.f64 (+.f64 (acos.f64 (fma.f64 v (.f64 4 v) -1)) 1) (pow.f64 1 1/3)) 1)
(-.f64 (.f64 (+.f64 (acos.f64 (fma.f64 v (.f64 4 v) -1)) 1) (pow.f64 1 1/3)) 1)
(-.f64 (.f64 (+.f64 (acos.f64 (fma.f64 v (.f64 4 v) -1)) 1) (pow.f64 1 1/3)) 1)

Outputs
(.f64 (+.f64 (acos.f64 (fma.f64 v (.f64 4 v) -1)) 1) (pow.f64 1 1/3))
(+.f64 (.f64 (acos.f64 (fma.f64 v (.f64 v 4) -1)) 1) 1)
(+.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 1)
(.f64 (+.f64 (acos.f64 (fma.f64 v (.f64 4 v) -1)) 1) (pow.f64 1 1/3))
(+.f64 (.f64 (acos.f64 (fma.f64 v (.f64 v 4) -1)) 1) 1)
(+.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 1)
(.f64 (+.f64 (acos.f64 (fma.f64 v (.f64 4 v) -1)) 1) (pow.f64 1 1/3))
(+.f64 (.f64 (acos.f64 (fma.f64 v (.f64 v 4) -1)) 1) 1)
(+.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 1)
(.f64 (+.f64 (acos.f64 (fma.f64 v (.f64 4 v) -1)) 1) (pow.f64 1 1/3))
(+.f64 (.f64 (acos.f64 (fma.f64 v (.f64 v 4) -1)) 1) 1)
(+.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 1)
(.f64 (pow.f64 1 1/3) (+.f64 (acos.f64 (fma.f64 v (.f64 4 v) -1)) 1))
(+.f64 (.f64 (acos.f64 (fma.f64 v (.f64 v 4) -1)) 1) 1)
(+.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 1)
(.f64 (pow.f64 1 1/3) (+.f64 (acos.f64 (fma.f64 v (.f64 4 v) -1)) 1))
(+.f64 (.f64 (acos.f64 (fma.f64 v (.f64 v 4) -1)) 1) 1)
(+.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 1)
(.f64 (pow.f64 1 1/3) (+.f64 (acos.f64 (fma.f64 v (.f64 4 v) -1)) 1))
(+.f64 (.f64 (acos.f64 (fma.f64 v (.f64 v 4) -1)) 1) 1)
(+.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 1)
(.f64 (pow.f64 1 1/3) (+.f64 (acos.f64 (fma.f64 v (.f64 4 v) -1)) 1))
(+.f64 (.f64 (acos.f64 (fma.f64 v (.f64 v 4) -1)) 1) 1)
(+.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 1)
(.f64 (pow.f64 1 1/3) (+.f64 (acos.f64 (fma.f64 v (.f64 4 v) -1)) 1))
(+.f64 (.f64 (acos.f64 (fma.f64 v (.f64 v 4) -1)) 1) 1)
(+.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 1)
(.f64 (pow.f64 1 1/3) (+.f64 (acos.f64 (fma.f64 v (.f64 4 v) -1)) 1))
(+.f64 (.f64 (acos.f64 (fma.f64 v (.f64 v 4) -1)) 1) 1)
(+.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 1)
(.f64 (pow.f64 1 1/3) (+.f64 (acos.f64 (fma.f64 v (.f64 4 v) -1)) 1))
(+.f64 (.f64 (acos.f64 (fma.f64 v (.f64 v 4) -1)) 1) 1)
(+.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 1)
(.f64 (pow.f64 1 1/3) (+.f64 (acos.f64 (fma.f64 v (.f64 4 v) -1)) 1))
(+.f64 (.f64 (acos.f64 (fma.f64 v (.f64 v 4) -1)) 1) 1)
(+.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 1)
(pow.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1) 1/3)
(cbrt.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 1))
(pow.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1) 1/3)
(cbrt.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 1))
(pow.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1) 1/3)
(cbrt.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 1))
(pow.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1) 1/3)
(cbrt.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 1))
(pow.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1) 1/3)
(cbrt.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 1))
(pow.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1) 1/3)
(cbrt.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 1))
(pow.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1) 1/3)
(cbrt.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 1))
(pow.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1) 1/3)
(cbrt.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 1))
(pow.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1) 1/3)
(cbrt.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 1))
(pow.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1) 1/3)
(cbrt.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 1))
(pow.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1) 1/3)
(cbrt.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 1))
(pow.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1) 1/3)
(cbrt.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 1))
(-.f64 (.f64 (+.f64 (acos.f64 (fma.f64 v (.f64 4 v) -1)) 1) (pow.f64 1 1/3)) 1)
(fma.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 1) 1 -1)
(+.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 0)
(acos.f64 (fma.f64 v (*.f64 v 4) -1))
(-.f64 (.f64 (+.f64 (acos.f64 (fma.f64 v (.f64 4 v) -1)) 1) (pow.f64 1 1/3)) 1)
(fma.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 1) 1 -1)
(+.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 0)
(acos.f64 (fma.f64 v (*.f64 v 4) -1))
(-.f64 (.f64 (+.f64 (acos.f64 (fma.f64 v (.f64 4 v) -1)) 1) (pow.f64 1 1/3)) 1)
(fma.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 1) 1 -1)
(+.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 0)
(acos.f64 (fma.f64 v (*.f64 v 4) -1))
(-.f64 (.f64 (+.f64 (acos.f64 (fma.f64 v (.f64 4 v) -1)) 1) (pow.f64 1 1/3)) 1)
(fma.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 1) 1 -1)
(+.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 0)
(acos.f64 (fma.f64 v (*.f64 v 4) -1))
(-.f64 (pow.f64 (pow.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1) 3) 1/3) 1)
(fma.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 1) 1 -1)
(+.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 0)
(acos.f64 (fma.f64 v (*.f64 v 4) -1))
(-.f64 (pow.f64 (pow.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1) 3) 1/3) 1)
(fma.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 1) 1 -1)
(+.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 0)
(acos.f64 (fma.f64 v (*.f64 v 4) -1))
(-.f64 (pow.f64 (pow.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1) 3) 1/3) 1)
(fma.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 1) 1 -1)
(+.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 0)
(acos.f64 (fma.f64 v (*.f64 v 4) -1))
(-.f64 (pow.f64 (pow.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1) 3) 1/3) 1)
(fma.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 1) 1 -1)
(+.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 0)
(acos.f64 (fma.f64 v (*.f64 v 4) -1))
(-.f64 (.f64 (+.f64 (acos.f64 (fma.f64 v (.f64 4 v) -1)) 1) (pow.f64 1 1/3)) 1)
(fma.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 1) 1 -1)
(+.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 0)
(acos.f64 (fma.f64 v (*.f64 v 4) -1))
(-.f64 (.f64 (+.f64 (acos.f64 (fma.f64 v (.f64 4 v) -1)) 1) (pow.f64 1 1/3)) 1)
(fma.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 1) 1 -1)
(+.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 0)
(acos.f64 (fma.f64 v (*.f64 v 4) -1))
(-.f64 (.f64 (+.f64 (acos.f64 (fma.f64 v (.f64 4 v) -1)) 1) (pow.f64 1 1/3)) 1)
(fma.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 1) 1 -1)
(+.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 0)
(acos.f64 (fma.f64 v (*.f64 v 4) -1))
(-.f64 (.f64 (+.f64 (acos.f64 (fma.f64 v (.f64 4 v) -1)) 1) (pow.f64 1 1/3)) 1)
(fma.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 1) 1 -1)
(+.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 0)
(acos.f64 (fma.f64 v (*.f64 v 4) -1))

localize20.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	1.0b	(sqrt.f64 (acos.f64 -1))
✓	1.0b	(expm1.f64 (log1p.f64 (sqrt.f64 (acos.f64 -1))))
✓	1.0b	(pow.f64 (expm1.f64 (log1p.f64 (sqrt.f64 (acos.f64 -1)))) 2)

Compiler

Compiled 24 to 24 computations (0% saved)

series0.0ms (0%)

Counts: 2 → 0

rewrite53.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

490×	`pow1_binary64`
479×	`add-sqr-sqrt_binary64`
457×	`expm1-log1p-u_binary64`
456×	`add-log-exp_binary64`
456×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	8
1	144	8
2	1267	8

Stop Event

1×	node limit

Counts

2 → 44

Calls

Call 1

Inputs
(pow.f64 (expm1.f64 (log1p.f64 (sqrt.f64 (acos.f64 -1)))) 2)
(expm1.f64 (log1p.f64 (sqrt.f64 (acos.f64 -1))))

Outputs

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

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

simplify7.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

44 → 44

Calls

Call 1

Inputs

Outputs

localize28.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
	1.0b	(cbrt.f64 (*.f64 (PI.f64) 1/2))
	1.6b	(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))) 6)

Compiler

Compiled 44 to 38 computations (13.6% saved)

localize93.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (fma.f64 v (*.f64 v 4) -1))))) 2)
✓	1.0b	(cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))))
	1.0b	(cbrt.f64 (+.f64 1 (acos.f64 (fma.f64 v (*.f64 v 4) -1))))
✓	1.0b	(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (fma.f64 v (*.f64 v 4) -1))))) 2) 3)

Compiler

Compiled 135 to 111 computations (17.8% saved)

series140.0ms (0.9%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
74.0ms	v	@	0	(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (fma.f64 v (*.f64 v 4) -1))))) 2) 3)
33.0ms	v	@	-inf	(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (fma.f64 v (*.f64 v 4) -1))))) 2) 3)
29.0ms	v	@	inf	(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (fma.f64 v (*.f64 v 4) -1))))) 2) 3)
1.0ms	v	@	0	(cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))))
0.0ms	v	@	0	(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (fma.f64 v (*.f64 v 4) -1))))) 2)

rewrite106.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

517×	`log-prod_binary64`
320×	`pow2_binary64`
305×	`pow-prod-down_binary64`
219×	`pow1/3_binary64`
218×	`expm1-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	57
1	309	55
2	3286	53

Stop Event

1×	node limit

Counts

3 → 89

Calls

Call 1

Inputs

(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (fma.f64 v (*.f64 v 4) -1))))) 2) 3)

(cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))))

(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (fma.f64 v (*.f64 v 4) -1))))) 2)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (exp.f64 (*.f64 2/3 (log1p.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (exp.f64 (*.f64 2/3 (log1p.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1))))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (*.f64 2/3 (log1p.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (*.f64 2/3 (log1p.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))))))) (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (*.f64 2/3 (log1p.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (exp.f64 (*.f64 2/3 (log1p.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (exp.f64 (*.f64 2/3 (log1p.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))) (cbrt.f64 (+.f64 1 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (fma.f64 v (*.f64 v 4) -1))))) (pow.f64 (exp.f64 (*.f64 2/3 (log1p.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1))))) 5/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (+.f64 1 (acos.f64 (fma.f64 v (*.f64 v 4) -1))) 1/18) 4) (pow.f64 (pow.f64 (+.f64 1 (acos.f64 (fma.f64 v (*.f64 v 4) -1))) 1/18) 8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (*.f64 2/3 (log1p.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (+.f64 1 (acos.f64 (fma.f64 v (*.f64 v 4) -1))) 1/18) 8) (pow.f64 (pow.f64 (+.f64 1 (acos.f64 (fma.f64 v (*.f64 v 4) -1))) 1/18) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 1 (acos.f64 (fma.f64 v (*.f64 v 4) -1))) 1/18) 8)) (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 1 (acos.f64 (fma.f64 v (*.f64 v 4) -1))) 1/18) 4)) (pow.f64 (pow.f64 (+.f64 1 (acos.f64 (fma.f64 v (*.f64 v 4) -1))) 1/18) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))) (pow.f64 (+.f64 1 (acos.f64 (fma.f64 v (*.f64 v 4) -1))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 1 (acos.f64 (fma.f64 v (*.f64 v 4) -1))) 1/6) (sqrt.f64 (+.f64 1 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (pow.f64 (+.f64 1 (acos.f64 (fma.f64 v (*.f64 v 4) -1))) 1/18) 8) 1) (pow.f64 (pow.f64 (+.f64 1 (acos.f64 (fma.f64 v (*.f64 v 4) -1))) 1/18) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 1 (acos.f64 (fma.f64 v (*.f64 v 4) -1))) 1/18) 4)) 4) 2) (cbrt.f64 (pow.f64 (pow.f64 (+.f64 1 (acos.f64 (fma.f64 v (*.f64 v 4) -1))) 1/18) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (exp.f64 (*.f64 2/3 (log1p.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1))))) 5/6) (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (fma.f64 v (*.f64 v 4) -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 1 (acos.f64 (fma.f64 v (*.f64 v 4) -1))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (exp.f64 (*.f64 2/3 (log1p.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (exp.f64 (*.f64 2/3 (log1p.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1))))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (acos.f64 (fma.f64 v (*.f64 v 4) -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (exp.f64 (*.f64 2/3 (log1p.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (exp.f64 (*.f64 2/3 (log1p.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2/3 (log1p.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/9 (log1p.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2/3 (log1p.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1))) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log1p.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 4 (*.f64 1/9 (log1p.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1))))) 3/2))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (fma.f64 v (*.f64 v 4) -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (fma.f64 v (*.f64 v 4) -1))))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (fma.f64 v (*.f64 v 4) -1))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (fma.f64 v (*.f64 v 4) -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (fma.f64 v (*.f64 v 4) -1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))))) (cbrt.f64 (pow.f64 (pow.f64 (+.f64 1 (acos.f64 (fma.f64 v (*.f64 v 4) -1))) 1/18) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 1 (acos.f64 (fma.f64 v (*.f64 v 4) -1))) 1/18) 4)) (cbrt.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 1 (acos.f64 (fma.f64 v (*.f64 v 4) -1))) 1/18) (pow.f64 (+.f64 1 (acos.f64 (fma.f64 v (*.f64 v 4) -1))) 1/18))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 1 (acos.f64 (fma.f64 v (*.f64 v 4) -1))) 1/18) 8))) (sqrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 1 (acos.f64 (fma.f64 v (*.f64 v 4) -1))) 1/18) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (acos.f64 (fma.f64 v (*.f64 v 4) -1))) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (fma.f64 v (*.f64 v 4) -1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (+.f64 1 (acos.f64 (fma.f64 v (*.f64 v 4) -1))) 1/18) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (*.f64 2/3 (log1p.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1))))) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (acos.f64 (fma.f64 v (*.f64 v 4) -1))) 3) 1/27)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 1 (acos.f64 (fma.f64 v (*.f64 v 4) -1))) 1/18) 4)) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 1 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))) 2/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (acos.f64 (fma.f64 v (*.f64 v 4) -1))) 1/18) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (acos.f64 (fma.f64 v (*.f64 v 4) -1))) 1/6) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (pow.f64 (+.f64 1 (acos.f64 (fma.f64 v (*.f64 v 4) -1))) 1/18) 4))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (fma.f64 v (*.f64 v 4) -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (fma.f64 v (*.f64 v 4) -1))))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 1/9 (log1p.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/9 (log1p.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (*.f64 1/3 (*.f64 1/9 (log1p.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1))) 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (*.f64 1/9 (log1p.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1))))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/3 (*.f64 1/9 (log1p.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/2 (*.f64 1/9 (log1p.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1))))) 2))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (pow.f64 (+.f64 1 (acos.f64 (fma.f64 v (*.f64 v 4) -1))) 1/18) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (pow.f64 (+.f64 1 (acos.f64 (fma.f64 v (*.f64 v 4) -1))) 1/18) 4))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (pow.f64 (+.f64 1 (acos.f64 (fma.f64 v (*.f64 v 4) -1))) 1/18) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (pow.f64 (+.f64 1 (acos.f64 (fma.f64 v (*.f64 v 4) -1))) 1/18) 4)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (pow.f64 (+.f64 1 (acos.f64 (fma.f64 v (*.f64 v 4) -1))) 1/18) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (pow.f64 (+.f64 1 (acos.f64 (fma.f64 v (*.f64 v 4) -1))) 1/18) 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (pow.f64 (+.f64 1 (acos.f64 (fma.f64 v (*.f64 v 4) -1))) 1/18) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (fma.f64 v (*.f64 v 4) -1))))) (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (fma.f64 v (*.f64 v 4) -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (+.f64 1 (acos.f64 (fma.f64 v (*.f64 v 4) -1))) 1/18) 4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 1 (acos.f64 (fma.f64 v (*.f64 v 4) -1))) 1/18) 4)) (cbrt.f64 (pow.f64 (pow.f64 (+.f64 1 (acos.f64 (fma.f64 v (*.f64 v 4) -1))) 1/18) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 1 (acos.f64 (fma.f64 v (*.f64 v 4) -1))) 1/18) 8)) (cbrt.f64 (pow.f64 (pow.f64 (+.f64 1 (acos.f64 (fma.f64 v (*.f64 v 4) -1))) 1/18) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 1 (acos.f64 (fma.f64 v (*.f64 v 4) -1))) 1/18) (pow.f64 (+.f64 1 (acos.f64 (fma.f64 v (*.f64 v 4) -1))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 1 (acos.f64 (fma.f64 v (*.f64 v 4) -1))) 1/6) (pow.f64 (+.f64 1 (acos.f64 (fma.f64 v (*.f64 v 4) -1))) 1/18))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (pow.f64 (+.f64 1 (acos.f64 (fma.f64 v (*.f64 v 4) -1))) 1/18) 4) 5/6) (cbrt.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (pow.f64 (+.f64 1 (acos.f64 (fma.f64 v (*.f64 v 4) -1))) 1/18) 8))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (pow.f64 (+.f64 1 (acos.f64 (fma.f64 v (*.f64 v 4) -1))) 1/18) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (pow.f64 (+.f64 1 (acos.f64 (fma.f64 v (*.f64 v 4) -1))) 1/18) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (exp.f64 (*.f64 2/3 (log1p.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (pow.f64 (+.f64 1 (acos.f64 (fma.f64 v (*.f64 v 4) -1))) 1/18) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (pow.f64 (+.f64 1 (acos.f64 (fma.f64 v (*.f64 v 4) -1))) 1/18) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (*.f64 1/9 (log1p.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (*.f64 1/9 (log1p.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 1 (acos.f64 (fma.f64 v (*.f64 v 4) -1))) 1/18) 8))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/3 (*.f64 1/9 (log1p.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1))))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2/3 (log1p.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (*.f64 1/3 (*.f64 1/9 (log1p.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))))) 3))))))

simplify261.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

866×	`unswap-sqr_binary64`
697×	`cube-prod_binary64`
690×	`sqr-pow_binary64`
642×	`fabs-mul_binary64`
351×	`unpow3_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	19	1140
1	44	1104
2	80	1104
3	154	1104
4	312	708
5	879	708
6	1626	708
7	3038	708
8	3323	708
9	3708	708
10	4200	708
11	4924	708
12	5922	708
13	6528	708
14	7132	708
15	7674	708

Stop Event

1×	node limit

Counts

125 → 95

Calls

Call 1

Inputs
(.f64 (pow.f64 (pow.f64 (+.f64 (acos.f64 (fma.f64 v (.f64 4 v) -1)) 1) 2) 1/3) (pow.f64 (pow.f64 1 4) 1/9))
(.f64 (pow.f64 (pow.f64 (+.f64 (acos.f64 (fma.f64 v (.f64 4 v) -1)) 1) 2) 1/3) (pow.f64 (pow.f64 1 4) 1/9))
(.f64 (pow.f64 (pow.f64 (+.f64 (acos.f64 (fma.f64 v (.f64 4 v) -1)) 1) 2) 1/3) (pow.f64 (pow.f64 1 4) 1/9))
(.f64 (pow.f64 (pow.f64 (+.f64 (acos.f64 (fma.f64 v (.f64 4 v) -1)) 1) 2) 1/3) (pow.f64 (pow.f64 1 4) 1/9))
(.f64 (pow.f64 (pow.f64 (+.f64 (acos.f64 (fma.f64 v (.f64 4 v) -1)) 1) 2) 1/3) (pow.f64 (pow.f64 1 4) 1/9))
(.f64 (pow.f64 (pow.f64 (+.f64 (acos.f64 (fma.f64 v (.f64 4 v) -1)) 1) 2) 1/3) (pow.f64 (pow.f64 1 4) 1/9))
(.f64 (pow.f64 (pow.f64 (+.f64 (acos.f64 (fma.f64 v (.f64 4 v) -1)) 1) 2) 1/3) (pow.f64 (pow.f64 1 4) 1/9))
(.f64 (pow.f64 (pow.f64 (+.f64 (acos.f64 (fma.f64 v (.f64 4 v) -1)) 1) 2) 1/3) (pow.f64 (pow.f64 1 4) 1/9))
(.f64 (pow.f64 (pow.f64 (+.f64 (acos.f64 (fma.f64 v (.f64 4 v) -1)) 1) 2) 1/3) (pow.f64 (pow.f64 1 4) 1/9))
(.f64 (pow.f64 (pow.f64 (+.f64 (acos.f64 (fma.f64 v (.f64 4 v) -1)) 1) 2) 1/3) (pow.f64 (pow.f64 1 4) 1/9))
(.f64 (pow.f64 (pow.f64 (+.f64 (acos.f64 (fma.f64 v (.f64 4 v) -1)) 1) 2) 1/3) (pow.f64 (pow.f64 1 4) 1/9))
(.f64 (pow.f64 (pow.f64 (+.f64 (acos.f64 (fma.f64 v (.f64 4 v) -1)) 1) 2) 1/3) (pow.f64 (pow.f64 1 4) 1/9))
(pow.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1) 1/9)
(pow.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1) 1/9)
(pow.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1) 1/9)
(pow.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1) 1/9)
(pow.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1) 1/9)
(pow.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1) 1/9)
(pow.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1) 1/9)
(pow.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1) 1/9)
(pow.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1) 1/9)
(pow.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1) 1/9)
(pow.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1) 1/9)
(pow.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1) 1/9)
(pow.f64 (pow.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1) 2) 1/9)
(pow.f64 (pow.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1) 2) 1/9)
(pow.f64 (pow.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1) 2) 1/9)
(pow.f64 (pow.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1) 2) 1/9)
(pow.f64 (pow.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1) 2) 1/9)
(pow.f64 (pow.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1) 2) 1/9)
(pow.f64 (pow.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1) 2) 1/9)
(pow.f64 (pow.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1) 2) 1/9)
(pow.f64 (pow.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1) 2) 1/9)
(pow.f64 (pow.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1) 2) 1/9)
(pow.f64 (pow.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1) 2) 1/9)
(pow.f64 (pow.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1) 2) 1/9)

Outputs
(.f64 (pow.f64 (pow.f64 (+.f64 (acos.f64 (fma.f64 v (.f64 4 v) -1)) 1) 2) 1/3) (pow.f64 (pow.f64 1 4) 1/9))
(.f64 1 (cbrt.f64 (pow.f64 (+.f64 (acos.f64 (fma.f64 v (.f64 v 4) -1)) 1) 2)))
(cbrt.f64 (pow.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 1) 2))
(.f64 (pow.f64 (pow.f64 (+.f64 (acos.f64 (fma.f64 v (.f64 4 v) -1)) 1) 2) 1/3) (pow.f64 (pow.f64 1 4) 1/9))
(.f64 1 (cbrt.f64 (pow.f64 (+.f64 (acos.f64 (fma.f64 v (.f64 v 4) -1)) 1) 2)))
(cbrt.f64 (pow.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 1) 2))
(.f64 (pow.f64 (pow.f64 (+.f64 (acos.f64 (fma.f64 v (.f64 4 v) -1)) 1) 2) 1/3) (pow.f64 (pow.f64 1 4) 1/9))
(.f64 1 (cbrt.f64 (pow.f64 (+.f64 (acos.f64 (fma.f64 v (.f64 v 4) -1)) 1) 2)))
(cbrt.f64 (pow.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 1) 2))
(.f64 (pow.f64 (pow.f64 (+.f64 (acos.f64 (fma.f64 v (.f64 4 v) -1)) 1) 2) 1/3) (pow.f64 (pow.f64 1 4) 1/9))
(.f64 1 (cbrt.f64 (pow.f64 (+.f64 (acos.f64 (fma.f64 v (.f64 v 4) -1)) 1) 2)))
(cbrt.f64 (pow.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 1) 2))
(.f64 (pow.f64 (pow.f64 (+.f64 (acos.f64 (fma.f64 v (.f64 4 v) -1)) 1) 2) 1/3) (pow.f64 (pow.f64 1 4) 1/9))
(.f64 1 (cbrt.f64 (pow.f64 (+.f64 (acos.f64 (fma.f64 v (.f64 v 4) -1)) 1) 2)))
(cbrt.f64 (pow.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 1) 2))
(.f64 (pow.f64 (pow.f64 (+.f64 (acos.f64 (fma.f64 v (.f64 4 v) -1)) 1) 2) 1/3) (pow.f64 (pow.f64 1 4) 1/9))
(.f64 1 (cbrt.f64 (pow.f64 (+.f64 (acos.f64 (fma.f64 v (.f64 v 4) -1)) 1) 2)))
(cbrt.f64 (pow.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 1) 2))
(.f64 (pow.f64 (pow.f64 (+.f64 (acos.f64 (fma.f64 v (.f64 4 v) -1)) 1) 2) 1/3) (pow.f64 (pow.f64 1 4) 1/9))
(.f64 1 (cbrt.f64 (pow.f64 (+.f64 (acos.f64 (fma.f64 v (.f64 v 4) -1)) 1) 2)))
(cbrt.f64 (pow.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 1) 2))
(.f64 (pow.f64 (pow.f64 (+.f64 (acos.f64 (fma.f64 v (.f64 4 v) -1)) 1) 2) 1/3) (pow.f64 (pow.f64 1 4) 1/9))
(.f64 1 (cbrt.f64 (pow.f64 (+.f64 (acos.f64 (fma.f64 v (.f64 v 4) -1)) 1) 2)))
(cbrt.f64 (pow.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 1) 2))
(.f64 (pow.f64 (pow.f64 (+.f64 (acos.f64 (fma.f64 v (.f64 4 v) -1)) 1) 2) 1/3) (pow.f64 (pow.f64 1 4) 1/9))
(.f64 1 (cbrt.f64 (pow.f64 (+.f64 (acos.f64 (fma.f64 v (.f64 v 4) -1)) 1) 2)))
(cbrt.f64 (pow.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 1) 2))
(.f64 (pow.f64 (pow.f64 (+.f64 (acos.f64 (fma.f64 v (.f64 4 v) -1)) 1) 2) 1/3) (pow.f64 (pow.f64 1 4) 1/9))
(.f64 1 (cbrt.f64 (pow.f64 (+.f64 (acos.f64 (fma.f64 v (.f64 v 4) -1)) 1) 2)))
(cbrt.f64 (pow.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 1) 2))
(.f64 (pow.f64 (pow.f64 (+.f64 (acos.f64 (fma.f64 v (.f64 4 v) -1)) 1) 2) 1/3) (pow.f64 (pow.f64 1 4) 1/9))
(.f64 1 (cbrt.f64 (pow.f64 (+.f64 (acos.f64 (fma.f64 v (.f64 v 4) -1)) 1) 2)))
(cbrt.f64 (pow.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 1) 2))
(.f64 (pow.f64 (pow.f64 (+.f64 (acos.f64 (fma.f64 v (.f64 4 v) -1)) 1) 2) 1/3) (pow.f64 (pow.f64 1 4) 1/9))
(.f64 1 (cbrt.f64 (pow.f64 (+.f64 (acos.f64 (fma.f64 v (.f64 v 4) -1)) 1) 2)))
(cbrt.f64 (pow.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 1) 2))
(pow.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1) 1/9)
(.f64 (pow.f64 (+.f64 (acos.f64 (fma.f64 v (.f64 v 4) -1)) 1) 1/18) (pow.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 1) 1/18))
(pow.f64 (pow.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 1) 1/36) 4)
(pow.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1) 1/9)
(.f64 (pow.f64 (+.f64 (acos.f64 (fma.f64 v (.f64 v 4) -1)) 1) 1/18) (pow.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 1) 1/18))
(pow.f64 (pow.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 1) 1/36) 4)
(pow.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1) 1/9)
(.f64 (pow.f64 (+.f64 (acos.f64 (fma.f64 v (.f64 v 4) -1)) 1) 1/18) (pow.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 1) 1/18))
(pow.f64 (pow.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 1) 1/36) 4)
(pow.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1) 1/9)
(.f64 (pow.f64 (+.f64 (acos.f64 (fma.f64 v (.f64 v 4) -1)) 1) 1/18) (pow.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 1) 1/18))
(pow.f64 (pow.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 1) 1/36) 4)
(pow.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1) 1/9)
(.f64 (pow.f64 (+.f64 (acos.f64 (fma.f64 v (.f64 v 4) -1)) 1) 1/18) (pow.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 1) 1/18))
(pow.f64 (pow.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 1) 1/36) 4)
(pow.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1) 1/9)
(.f64 (pow.f64 (+.f64 (acos.f64 (fma.f64 v (.f64 v 4) -1)) 1) 1/18) (pow.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 1) 1/18))
(pow.f64 (pow.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 1) 1/36) 4)
(pow.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1) 1/9)
(.f64 (pow.f64 (+.f64 (acos.f64 (fma.f64 v (.f64 v 4) -1)) 1) 1/18) (pow.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 1) 1/18))
(pow.f64 (pow.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 1) 1/36) 4)
(pow.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1) 1/9)
(.f64 (pow.f64 (+.f64 (acos.f64 (fma.f64 v (.f64 v 4) -1)) 1) 1/18) (pow.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 1) 1/18))
(pow.f64 (pow.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 1) 1/36) 4)
(pow.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1) 1/9)
(.f64 (pow.f64 (+.f64 (acos.f64 (fma.f64 v (.f64 v 4) -1)) 1) 1/18) (pow.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 1) 1/18))
(pow.f64 (pow.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 1) 1/36) 4)
(pow.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1) 1/9)
(.f64 (pow.f64 (+.f64 (acos.f64 (fma.f64 v (.f64 v 4) -1)) 1) 1/18) (pow.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 1) 1/18))
(pow.f64 (pow.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 1) 1/36) 4)
(pow.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1) 1/9)
(.f64 (pow.f64 (+.f64 (acos.f64 (fma.f64 v (.f64 v 4) -1)) 1) 1/18) (pow.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 1) 1/18))
(pow.f64 (pow.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 1) 1/36) 4)
(pow.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1) 1/9)
(.f64 (pow.f64 (+.f64 (acos.f64 (fma.f64 v (.f64 v 4) -1)) 1) 1/18) (pow.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 1) 1/18))
(pow.f64 (pow.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 1) 1/36) 4)
(pow.f64 (pow.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1) 2) 1/9)
(.f64 (pow.f64 (pow.f64 (+.f64 (acos.f64 (fma.f64 v (.f64 v 4) -1)) 1) 2) 1/18) (pow.f64 (pow.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 1) 2) 1/18))
(pow.f64 (pow.f64 (pow.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 1) 2) 1/36) 4)
(pow.f64 (pow.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1) 2) 1/9)
(.f64 (pow.f64 (pow.f64 (+.f64 (acos.f64 (fma.f64 v (.f64 v 4) -1)) 1) 2) 1/18) (pow.f64 (pow.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 1) 2) 1/18))
(pow.f64 (pow.f64 (pow.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 1) 2) 1/36) 4)
(pow.f64 (pow.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1) 2) 1/9)
(.f64 (pow.f64 (pow.f64 (+.f64 (acos.f64 (fma.f64 v (.f64 v 4) -1)) 1) 2) 1/18) (pow.f64 (pow.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 1) 2) 1/18))
(pow.f64 (pow.f64 (pow.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 1) 2) 1/36) 4)
(pow.f64 (pow.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1) 2) 1/9)
(.f64 (pow.f64 (pow.f64 (+.f64 (acos.f64 (fma.f64 v (.f64 v 4) -1)) 1) 2) 1/18) (pow.f64 (pow.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 1) 2) 1/18))
(pow.f64 (pow.f64 (pow.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 1) 2) 1/36) 4)
(pow.f64 (pow.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1) 2) 1/9)
(.f64 (pow.f64 (pow.f64 (+.f64 (acos.f64 (fma.f64 v (.f64 v 4) -1)) 1) 2) 1/18) (pow.f64 (pow.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 1) 2) 1/18))
(pow.f64 (pow.f64 (pow.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 1) 2) 1/36) 4)
(pow.f64 (pow.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1) 2) 1/9)
(.f64 (pow.f64 (pow.f64 (+.f64 (acos.f64 (fma.f64 v (.f64 v 4) -1)) 1) 2) 1/18) (pow.f64 (pow.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 1) 2) 1/18))
(pow.f64 (pow.f64 (pow.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 1) 2) 1/36) 4)
(pow.f64 (pow.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1) 2) 1/9)
(.f64 (pow.f64 (pow.f64 (+.f64 (acos.f64 (fma.f64 v (.f64 v 4) -1)) 1) 2) 1/18) (pow.f64 (pow.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 1) 2) 1/18))
(pow.f64 (pow.f64 (pow.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 1) 2) 1/36) 4)
(pow.f64 (pow.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1) 2) 1/9)
(.f64 (pow.f64 (pow.f64 (+.f64 (acos.f64 (fma.f64 v (.f64 v 4) -1)) 1) 2) 1/18) (pow.f64 (pow.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 1) 2) 1/18))
(pow.f64 (pow.f64 (pow.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 1) 2) 1/36) 4)
(pow.f64 (pow.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1) 2) 1/9)
(.f64 (pow.f64 (pow.f64 (+.f64 (acos.f64 (fma.f64 v (.f64 v 4) -1)) 1) 2) 1/18) (pow.f64 (pow.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 1) 2) 1/18))
(pow.f64 (pow.f64 (pow.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 1) 2) 1/36) 4)
(pow.f64 (pow.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1) 2) 1/9)
(.f64 (pow.f64 (pow.f64 (+.f64 (acos.f64 (fma.f64 v (.f64 v 4) -1)) 1) 2) 1/18) (pow.f64 (pow.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 1) 2) 1/18))
(pow.f64 (pow.f64 (pow.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 1) 2) 1/36) 4)
(pow.f64 (pow.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1) 2) 1/9)
(.f64 (pow.f64 (pow.f64 (+.f64 (acos.f64 (fma.f64 v (.f64 v 4) -1)) 1) 2) 1/18) (pow.f64 (pow.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 1) 2) 1/18))
(pow.f64 (pow.f64 (pow.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 1) 2) 1/36) 4)
(pow.f64 (pow.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1) 2) 1/9)
(.f64 (pow.f64 (pow.f64 (+.f64 (acos.f64 (fma.f64 v (.f64 v 4) -1)) 1) 2) 1/18) (pow.f64 (pow.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 1) 2) 1/18))
(pow.f64 (pow.f64 (pow.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 1) 2) 1/36) 4)

eval683.0ms (4.5%)

Compiler: Compiled 16241 to 13845 computations (14.8% saved)

prune154.0ms (1%)

Pruning

14 alts after pruning (5 fresh and 9 done)

	Pruned	Kept	Total
New	672	5	677
Fresh	1	0	1
Picked	1	0	1
Done	2	9	11
Total	676	14	690

Error

0.5b

Counts

690 → 14

Alt Table

Click to see full alt table

Status	Error	Program
	3.4b	(pow.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (acos.f64 -1))) 3) 2)
✓	1.4b	(pow.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))) 2)
✓	1.6b	(pow.f64 (sqrt.f64 (acos.f64 -1)) 2)
✓	2.6b	(pow.f64 (expm1.f64 (log1p.f64 (sqrt.f64 (acos.f64 -1)))) 2)
✓	1.6b	(pow.f64 (cbrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1))) 3)
✓	2.1b	(-.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))) 3) 1)
✓	0.6b	(-.f64 (+.f64 1 (acos.f64 (fma.f64 v (*.f64 v 4) -1))) 1)
	4.5b	(-.f64 (.f64 (pow.f64 (pow.f64 (pow.f64 (pow.f64 (+.f64 1 (acos.f64 (fma.f64 v (.f64 v 4) -1))) 1/18) 2) 2) 3) (cbrt.f64 (+.f64 1 (acos.f64 (fma.f64 v (*.f64 v 4) -1))))) 1)
	2.1b	(-.f64 (.f64 (pow.f64 (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (pow.f64 (+.f64 1 (acos.f64 (fma.f64 v (.f64 v 4) -1))) 1/18) 4))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (pow.f64 (+.f64 1 (acos.f64 (fma.f64 v (.f64 v 4) -1))) 1/18) 4))))) 3) (cbrt.f64 (+.f64 1 (acos.f64 (fma.f64 v (.f64 v 4) -1))))) 1)
	3.9b	(-.f64 (.f64 (pow.f64 (+.f64 0 (pow.f64 (pow.f64 (+.f64 1 (acos.f64 (fma.f64 v (.f64 v 4) -1))) 1/18) 4)) 3) (cbrt.f64 (+.f64 1 (acos.f64 (fma.f64 v (*.f64 v 4) -1))))) 1)
	3.9b	(-.f64 (.f64 (pow.f64 (expm1.f64 (log1p.f64 (pow.f64 (pow.f64 (+.f64 1 (acos.f64 (fma.f64 v (.f64 v 4) -1))) 1/18) 4))) 3) (cbrt.f64 (+.f64 1 (acos.f64 (fma.f64 v (*.f64 v 4) -1))))) 1)
✓	0.6b	(acos.f64 (fma.f64 v (*.f64 v 4) -1))
✓	0.5b	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))
✓	0.7b	(acos.f64 -1)

Compiler

Compiled 247 to 212 computations (14.2% saved)

regimes45.0ms (0.3%)

Accuracy

Total -4.1b remaining (-876.8%)

Threshold costs -4.1b (-876.8%)

Counts

23 → 1

Calls

Call 1

Inputs
(acos.f64 -1)
(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))
(acos.f64 (fma.f64 v (*.f64 v 4) -1))
(-.f64 (+.f64 1 (acos.f64 (fma.f64 v (*.f64 v 4) -1))) 1)
(pow.f64 (sqrt.f64 (acos.f64 -1)) 2)
(pow.f64 (cbrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1))) 3)
(-.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))) 3) 1)
(pow.f64 (expm1.f64 (log1p.f64 (sqrt.f64 (acos.f64 -1)))) 2)
(pow.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (acos.f64 -1))) 3) 2)
(pow.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))) 2)
(pow.f64 (expm1.f64 (log1p.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))) 2)
(fma.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (PI.f64) 1/2))) 6) (cbrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 -1)))
(-.f64 (.f64 (pow.f64 (+.f64 0 (pow.f64 (pow.f64 (+.f64 1 (acos.f64 (fma.f64 v (.f64 v 4) -1))) 1/18) 4)) 3) (cbrt.f64 (+.f64 1 (acos.f64 (fma.f64 v (*.f64 v 4) -1))))) 1)
(-.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (fma.f64 v (.f64 v 4) -1))))) 2) 3) (cbrt.f64 (+.f64 1 (acos.f64 (fma.f64 v (*.f64 v 4) -1))))) 1)
(-.f64 (.f64 (pow.f64 (pow.f64 (pow.f64 (pow.f64 (+.f64 1 (acos.f64 (fma.f64 v (.f64 v 4) -1))) 1/18) 2) 2) 3) (cbrt.f64 (+.f64 1 (acos.f64 (fma.f64 v (*.f64 v 4) -1))))) 1)
(.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (acos.f64 (fma.f64 v (.f64 v 4) -1)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))) 3))
(fma.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (PI.f64) 1/2))) 6) (cbrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))))
(fma.f64 (.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) (cbrt.f64 (.f64 (PI.f64) 1/2))) (cbrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))))
(-.f64 (.f64 (pow.f64 (expm1.f64 (log1p.f64 (pow.f64 (pow.f64 (+.f64 1 (acos.f64 (fma.f64 v (.f64 v 4) -1))) 1/18) 4))) 3) (cbrt.f64 (+.f64 1 (acos.f64 (fma.f64 v (*.f64 v 4) -1))))) 1)
(-.f64 (.f64 (pow.f64 (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (pow.f64 (+.f64 1 (acos.f64 (fma.f64 v (.f64 v 4) -1))) 1/18) 4))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (pow.f64 (+.f64 1 (acos.f64 (fma.f64 v (.f64 v 4) -1))) 1/18) 4))))) 3) (cbrt.f64 (+.f64 1 (acos.f64 (fma.f64 v (.f64 v 4) -1))))) 1)
(fma.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (PI.f64) 1/2))) 6) (cbrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (+.f64 (fma.f64 (pow.f64 (.f64 (PI.f64) 1/2) 5/6) (pow.f64 (.f64 (PI.f64) 1/2) 1/6) (neg.f64 (.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 2) (.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 2))))))
(+.f64 (fma.f64 (.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) (cbrt.f64 (.f64 (PI.f64) 1/2))) (cbrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (.f64 (cbrt.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1)))) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) 6)))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1))))) (.f64 (cbrt.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1)))) (cbrt.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1))))) (.f64 (cbrt.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1)))) (.f64 (cbrt.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1)))) (cbrt.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1))))))))
(+.f64 (fma.f64 (.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) (cbrt.f64 (.f64 (PI.f64) 1/2))) (cbrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (.f64 (cbrt.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1)))) (.f64 (cbrt.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1)))) (cbrt.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1)))))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1))))) (.f64 (cbrt.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1)))) (cbrt.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1))))) (.f64 (cbrt.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1)))) (.f64 (cbrt.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1)))) (cbrt.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1))))))))

Outputs
(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

Calls

4 calls:

12.0ms	v
6.0ms	(*.f64 v v)
3.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))
3.0ms	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))

Results

Error	Segments	Branch
0.5b	1	`v`
0.5b	1	`(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))`
0.5b	1	`(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))`
0.5b	1	`(*.f64 v v)`

Compiler

Compiled 787 to 592 computations (24.8% saved)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Rules

5×	`+-commutative_binary64`
5×	`sub-neg_binary64`
4×	`*-commutative_binary64`
3×	`distribute-lft-neg-in_binary64`
3×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	24
1	23	24
2	32	24
3	39	24
4	44	24
5	47	24
6	48	24

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))
(acos.f64 -1)

Outputs
(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))
(acos.f64 (/.f64 (+.f64 1 (.f64 -5 (.f64 v v))) (+.f64 (*.f64 v v) -1)))
(acos.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (+.f64 (*.f64 v v) -1)))
(acos.f64 -1)

Compiler

Compiled 18 to 13 computations (27.8% saved)

soundness0.0ms (0%)

end20.0ms (0.1%)

Compiler: Compiled 17 to 12 computations (29.4% saved)

Details

analyze958.0ms (6.3%)

sample5.0s (32.6%)

preprocess75.0ms (0.5%)

simplify60.0ms (0.4%)

eval1.0ms (0%)

prune1.0ms (0%)

localize19.0ms (0.1%)

series4.0ms (0%)

rewrite133.0ms (0.9%)

simplify75.0ms (0.5%)

eval605.0ms (4%)

prune39.0ms (0.3%)

localize9.0ms (0.1%)

series1.0ms (0%)

rewrite105.0ms (0.7%)

simplify9.0ms (0.1%)

localize2.0ms (0%)

localize29.0ms (0.2%)

series28.0ms (0.2%)

rewrite116.0ms (0.8%)

simplify63.0ms (0.4%)

localize44.0ms (0.3%)

series1.0ms (0%)

rewrite113.0ms (0.7%)

simplify61.0ms (0.4%)

localize345.0ms (2.3%)

series25.0ms (0.2%)

rewrite446.0ms (2.9%)

simplify71.0ms (0.5%)

eval2.7s (17.6%)

prune115.0ms (0.8%)

localize18.0ms (0.1%)

series2.0ms (0%)

rewrite78.0ms (0.5%)

simplify16.0ms (0.1%)

localize9.0ms (0.1%)

series0.0ms (0%)

rewrite49.0ms (0.3%)

simplify8.0ms (0%)

localize19.0ms (0.1%)

series8.0ms (0.1%)

rewrite65.0ms (0.4%)

simplify202.0ms (1.3%)

localize67.0ms (0.4%)

series6.0ms (0%)

rewrite101.0ms (0.7%)

simplify208.0ms (1.4%)

localize193.0ms (1.3%)

series0.0ms (0%)

rewrite116.0ms (0.8%)

simplify31.0ms (0.2%)

eval578.0ms (3.8%)

prune159.0ms (1%)

localize36.0ms (0.2%)

series119.0ms (0.8%)

rewrite99.0ms (0.6%)

simplify15.0ms (0.1%)

localize32.0ms (0.2%)

series14.0ms (0.1%)

rewrite89.0ms (0.6%)

simplify79.0ms (0.5%)

localize20.0ms (0.1%)

series0.0ms (0%)

rewrite53.0ms (0.4%)

simplify7.0ms (0%)

localize28.0ms (0.2%)

localize93.0ms (0.6%)

series140.0ms (0.9%)

rewrite106.0ms (0.7%)

simplify261.0ms (1.7%)

eval683.0ms (4.5%)

prune154.0ms (1%)

regimes45.0ms (0.3%)

simplify5.0ms (0%)

soundness0.0ms (0%)

end20.0ms (0.1%)

Profiling