Details

analyze673.0ms (3.8%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	100%	0%	3
0%	100%	0%	4
0%	100%	0%	5
0%	100%	0%	6
0%	100%	0%	7
0%	100%	0%	8
0%	100%	0%	9
0%	100%	0%	10
0%	100%	0%	11
0%	100%	0%	12

Compiler

Compiled 16 to 11 computations (31.3% saved)

sample4.4s (24.6%)

Results

2.2s	4072×	body	2048	valid
981.0ms	8299×	body	256	invalid
728.0ms	2099×	body	1024	valid
250.0ms	1067×	body	512	valid
137.0ms	1018×	body	256	valid

preprocess73.0ms (0.4%)

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)

simplify64.0ms (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

0.7b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.7b	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

Compiler

Compiled 15 to 10 computations (33.3% saved)

localize16.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 5 (.f64 v v))
✓	0.7b	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

Compiler

Compiled 51 to 27 computations (47.1% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite80.0ms (0.5%)

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	26
1	236	26
2	3342	24

Stop Event

1×	node limit

Counts

2 → 58

Calls

Call 1

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

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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(#(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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-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 1) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (acos.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 (acos.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 (acos.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 (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 fma.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 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)))))))) (#(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 (*.f64 v v) -5 1) (fma.f64 v v -1)))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 5 (*.f64 v v)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 5) (*.f64 v v))) (cbrt.f64 (pow.f64 (exp.f64 5) (*.f64 v v))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 5) (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 5) (*.f64 v v)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 5) (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 5 (*.f64 v v) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 5 (*.f64 v v)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 5 (*.f64 v v))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 v (sqrt.f64 5)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 125 (pow.f64 v 6)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 v 4) 25))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 5) (*.f64 v v)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 5 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 125 (pow.f64 v 6)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 5 (*.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 5 (*.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 2 (log.f64 v) (log.f64 5)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (fma.f64 2 (log.f64 v) (log.f64 5)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 5 (*.f64 v v) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (fma.f64 5 (*.f64 v v) 1)) (cbrt.f64 (fma.f64 5 (*.f64 v v) 1))) (cbrt.f64 (fma.f64 5 (*.f64 v v) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (*.f64 v (sqrt.f64 5))) (hypot.f64 1 (*.f64 v (sqrt.f64 5))) -1)))))

simplify64.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

541×	`associate-/l*_binary64`
499×	`fma-def_binary64`
432×	`distribute-neg-frac_binary64`
371×	`associate-/r*_binary64`
370×	`div-sub_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	336
1	30	312
2	61	288
3	180	288
4	832	288
5	4243	288

Stop Event

1×	node limit

Counts

82 → 62

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))

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 -5 v) v)) (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 -5 v) v)) (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 -5 v) v)) (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 -5 v) v)) (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 -5 v) v)) (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 -5 v) v)) (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 -5 v) v)) (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 -5 v) v)) (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 -5 v) v)) (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 -5 v) v)) (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 -5 v) v)) (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 -5 v) v)) (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))

eval66.0ms (0.4%)

Compiler: Compiled 1862 to 1235 computations (33.7% saved)

prune21.0ms (0.1%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	54	8	62
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	54	9	63

Error

0.7b

Counts

63 → 9

Alt Table

Click to see full alt table

Status	Error	Program
	1.7b	(pow.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))) 2)
✓	0.7b	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))
▶	1.7b	(pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))) 3)
▶	2.6b	(+.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))))))))
	2.2b	(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)))))
▶	0.7b	(exp.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))))
▶	0.7b	(expm1.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))))
	1.7b	(cbrt.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))) 3))
▶	1.7b	(fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))))

Compiler

Compiled 555 to 396 computations (28.6% saved)

localize37.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(log1p.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))))
✓	0.0b	(expm1.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))))
✓	0.7b	(acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))

New

Error

Program

✓

0.0b

(log1p.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))))

✓

0.0b

(expm1.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))))

✓

0.7b

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

Compiler

Compiled 68 to 40 computations (41.2% saved)

series89.0ms (0.5%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
43.0ms	v	@	inf	(log1p.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))))
28.0ms	v	@	0	(log1p.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))))
17.0ms	v	@	-inf	(log1p.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))))
0.0ms	v	@	0	(acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))
0.0ms	v	@	inf	(acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))

rewrite138.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

556×	`unpow-prod-down_binary64`
442×	`log-prod_binary64`
345×	`exp-prod_binary64`
264×	`pow2_binary64`
236×	`pow-prod-down_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	53
1	219	53
2	2497	53

Stop Event

1×	node limit

Counts

3 → 153

Calls

Call 1

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

Inputs

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

(expm1.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))))

(log1p.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))))

Outputs
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Outputs

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

simplify112.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	672
1	24	636
2	39	636
3	70	636
4	158	636
5	523	636
6	2436	636
7	5095	636

Stop Event

1×	node limit

Counts

189 → 98

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)))
(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)))
(log.f64 (+.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) 1))
(log.f64 (+.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) 1))
(log.f64 (+.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) 1))
(log.f64 (+.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) 1))
(log.f64 (+.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) 1))
(log.f64 (+.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) 1))
(log.f64 (+.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) 1))
(log.f64 (+.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) 1))
(log.f64 (+.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) 1))
(log.f64 (+.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) 1))
(log.f64 (+.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) 1))
(log.f64 (+.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) 1))

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)))
(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)))
(log.f64 (+.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) 1))
(log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))))
(log1p.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))))
(log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(log.f64 (+.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) 1))
(log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))))
(log1p.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))))
(log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(log.f64 (+.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) 1))
(log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))))
(log1p.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))))
(log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(log.f64 (+.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) 1))
(log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))))
(log1p.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))))
(log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(log.f64 (+.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) 1))
(log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))))
(log1p.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))))
(log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(log.f64 (+.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) 1))
(log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))))
(log1p.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))))
(log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(log.f64 (+.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) 1))
(log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))))
(log1p.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))))
(log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(log.f64 (+.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) 1))
(log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))))
(log1p.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))))
(log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(log.f64 (+.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) 1))
(log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))))
(log1p.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))))
(log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(log.f64 (+.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) 1))
(log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))))
(log1p.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))))
(log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(log.f64 (+.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) 1))
(log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))))
(log1p.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))))
(log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(log.f64 (+.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) 1))
(log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))))
(log1p.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))))
(log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))

localize88.0ms (0.5%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(log.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))))
✓	0.0b	(exp.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))))
	0.7b	(acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))

New

Error

Program

✓

0.0b

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

✓

0.0b

(exp.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))))

0.7b

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

Compiler

Compiled 68 to 40 computations (41.2% saved)

series142.0ms (0.8%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
76.0ms	v	@	inf	(log.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))))
34.0ms	v	@	-inf	(log.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))))
30.0ms	v	@	0	(log.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))))
1.0ms	v	@	0	(exp.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))))
1.0ms	v	@	-inf	(exp.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))))

rewrite99.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

555×	`unpow-prod-down_binary64`
442×	`log-prod_binary64`
345×	`exp-prod_binary64`
264×	`pow2_binary64`
236×	`pow-prod-down_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	36
1	222	36
2	2477	36

Stop Event

1×	node limit

Counts

2 → 107

Calls

Call 1

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

Outputs

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

simplify61.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	432
1	22	432
2	36	432
3	67	432
4	154	432
5	514	432
6	2413	432
7	5054	432

Stop Event

1×	node limit

Counts

131 → 110

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)))
(log.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))))
(log.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))))
(log.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))))
(log.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))))
(log.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))))
(log.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))))
(log.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))))
(log.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))))
(log.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))))
(log.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))))
(log.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))))
(log.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))))

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

localize42.0ms (0.2%)

Local error

Found 3 expressions with local error:

New

Error

Program

0.7b

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

✓

1.0b

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

✓

1.5b

(pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))) 3)

Compiler

Compiled 70 to 42 computations (40% saved)

series9.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	v	@	0	(pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))) 3)
3.0ms	v	@	inf	(pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))) 3)
2.0ms	v	@	-inf	(pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))) 3)
0.0ms	v	@	0	(cbrt.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))))
0.0ms	v	@	inf	(cbrt.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))))

rewrite83.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

473×	`log-prod_binary64`
367×	`exp-prod_binary64`
323×	`prod-exp_binary64`
285×	`pow2_binary64`
264×	`pow-prod-down_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	36
1	265	36
2	2776	36

Stop Event

1×	node limit

Counts

2 → 91

Calls

Call 1

Inputs
(pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))) 3)
(cbrt.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))))

Outputs

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

simplify66.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

767×	`unswap-sqr_binary64`
693×	`distribute-rgt-in_binary64`
630×	`distribute-lft-in_binary64`
607×	`associate-l_binary64`
569×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	468
1	35	432
2	57	432
3	99	432
4	209	432
5	647	432
6	2412	432
7	7119	432

Stop Event

1×	node limit

Counts

115 → 94

Calls

Call 1

Inputs
(*.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) (pow.f64 1 1/3))
(*.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) (pow.f64 1 1/3))
(*.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) (pow.f64 1 1/3))
(*.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) (pow.f64 1 1/3))
(*.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) (pow.f64 1 1/3))
(*.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) (pow.f64 1 1/3))
(*.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) (pow.f64 1 1/3))
(*.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) (pow.f64 1 1/3))
(*.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) (pow.f64 1 1/3))
(*.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) (pow.f64 1 1/3))
(*.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) (pow.f64 1 1/3))
(*.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) (pow.f64 1 1/3))
(pow.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) 1/3)
(pow.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) 1/3)
(pow.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) 1/3)
(pow.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) 1/3)
(pow.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) 1/3)
(pow.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) 1/3)
(pow.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) 1/3)
(pow.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) 1/3)
(pow.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) 1/3)
(pow.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) 1/3)
(pow.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) 1/3)
(pow.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) 1/3)

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

localize38.0ms (0.2%)

Local error

Found 3 expressions with local error:

New

Error

Program

✓

0.8b

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

✓

1.0b

(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))))

✓

1.0b

(sqrt.f64 (*.f64 (PI.f64) 1/2))

Compiler

Compiled 85 to 53 computations (37.6% saved)

series8.0ms (0%)

Counts

3 → 24

Calls

6 calls:

Time	Variable		Point	Expression
6.0ms	v	@	0	(asin.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))
1.0ms	v	@	0	(fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))))
0.0ms	v	@	inf	(fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))))
0.0ms	v	@	-inf	(fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (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)))

rewrite131.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

621×	`log-prod_binary64`
571×	`prod-diff_binary64`
354×	`pow2_binary64`
245×	`pow1/3_binary64`
244×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	50
1	318	41
2	3688	41

Stop Event

1×	node limit

Counts

3 → 211

Calls

Call 1

Inputs

(sqrt.f64 (*.f64 (PI.f64) 1/2))

(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.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)))

Outputs

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(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 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (*.f64 (cbrt.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 (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 (pow.f64 (*.f64 (PI.f64) 1/2) 1/4) (*.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 1/4) (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 (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 (PI.f64)) (*.f64 (sqrt.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 (pow.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 1/4) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 1/4) (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 (pow.f64 (cbrt.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 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (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 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (PI.f64))) (sqrt.f64 1/2) (neg.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))))

simplify93.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

897×	`fma-def_binary64`
421×	`distribute-rgt-in_binary64`
394×	`fma-neg_binary64`
393×	`distribute-lft-in_binary64`
314×	`unswap-sqr_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	552
1	34	492
2	58	492
3	112	492
4	280	492
5	971	492
6	2425	492
7	6419	492

Stop Event

1×	node limit

Counts

235 → 215

Calls

Call 1

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

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

localize646.0ms (3.6%)

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)

series75.0ms (0.4%)

Counts

4 → 24

Calls

6 calls:

Time	Variable		Point	Expression
53.0ms	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)))))))
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)))))))
10.0ms	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)))))))
1.0ms	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)))))
1.0ms	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)))))

rewrite520.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

724×	`log-prod_binary64`
606×	`prod-diff_binary64`
280×	`log1p-udef_binary64`
279×	`expm1-udef_binary64`
240×	`log-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	101
1	399	75
2	4337	75

Stop Event

1×	node limit

Counts

4 → 216

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

simplify142.0ms (0.8%)

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

240 → 219

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))

eval3.0s (16.8%)

Compiler: Compiled 75597 to 53977 computations (28.6% saved)

prune231.0ms (1.3%)

Pruning

22 alts after pruning (18 fresh and 4 done)

	Pruned	Kept	Total
New	969	16	985
Fresh	1	2	3
Picked	1	0	1
Done	1	4	5
Total	972	22	994

Error

0.7b

Counts

994 → 22

Alt Table

Click to see full alt table

Status	Error	Program
	1.7b	(pow.f64 (exp.f64 (.f64 (log.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))) 3)) 3)
	2.2b	(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) 3) 3)
	2.2b	(expm1.f64 (cbrt.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 3)))
	1.7b	(pow.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1/3) 3)
▶	3.4b	(expm1.f64 (pow.f64 (cbrt.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) 3))
▶	1.7b	(cbrt.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))) 3))
	1.7b	(pow.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))) 2)
✓	0.7b	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))
▶	0.7b	(exp.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))) 2) 3) (cbrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))
	0.7b	(expm1.f64 (.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))) 3)))
✓	1.7b	(pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))) 3)
	1.7b	(pow.f64 (cbrt.f64 (-.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 1)) 3)
	1.7b	(pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 3))) 3)
	4.4b	(expm1.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))) 2) 3) (cbrt.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))
	3.7b	(.f64 (pow.f64 (pow.f64 (cbrt.f64 (E.f64)) 2) (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) (pow.f64 (cbrt.f64 (E.f64)) (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))
▶	1.7b	(exp.f64 (.f64 (.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 1/3) 3))
	0.7b	(expm1.f64 (log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))
✓	0.7b	(exp.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))))
▶	2.2b	(expm1.f64 (log1p.f64 (fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) 2) (cbrt.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) -1)))
✓	0.7b	(expm1.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))))
	1.7b	(pow.f64 (cbrt.f64 (.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) 3))) 3)
	2.2b	(pow.f64 (pow.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1/6) 2) 3)

Compiler

Compiled 937 to 724 computations (22.7% saved)

localize99.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))) 2)
✓	0.7b	(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
✓	0.9b	(cbrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
✓	1.0b	(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))) 2) 3)

Compiler

Compiled 190 to 140 computations (26.3% saved)

series244.0ms (1.4%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
142.0ms	v	@	inf	(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))) 2) 3)
50.0ms	v	@	-inf	(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))) 2) 3)
45.0ms	v	@	0	(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))) 2) 3)
2.0ms	v	@	-inf	(cbrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
2.0ms	v	@	0	(cbrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))

rewrite154.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

639×	`log-prod_binary64`
374×	`pow2_binary64`
356×	`pow-prod-down_binary64`
259×	`pow1/3_binary64`
257×	`log1p-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	90
1	345	88
2	3707	87

Stop Event

1×	node limit

Counts

4 → 147

Calls

Call 1

Inputs
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))) 2) 3)
(cbrt.f64 (log.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)))
(pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))) 2)

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

simplify116.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

853×	`fma-neg_binary64`
642×	`associate-l_binary64`
450×	`associate-r_binary64`
407×	`sqr-pow_binary64`
323×	`fma-def_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	22	1404
1	49	1368
2	80	1368
3	130	1368
4	246	1080
5	659	1080
6	2318	1080
7	2855	1080
8	3580	1080
9	5810	1080

Stop Event

1×	node limit

Counts

195 → 154

Calls

Call 1

Inputs
(.f64 (pow.f64 (pow.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1)))) 2) 1/3) (pow.f64 (pow.f64 1 4) 1/9))
(.f64 (pow.f64 (pow.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1)))) 2) 1/3) (pow.f64 (pow.f64 1 4) 1/9))
(.f64 (pow.f64 (pow.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1)))) 2) 1/3) (pow.f64 (pow.f64 1 4) 1/9))
(.f64 (pow.f64 (pow.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1)))) 2) 1/3) (pow.f64 (pow.f64 1 4) 1/9))
(.f64 (pow.f64 (pow.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1)))) 2) 1/3) (pow.f64 (pow.f64 1 4) 1/9))
(.f64 (pow.f64 (pow.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1)))) 2) 1/3) (pow.f64 (pow.f64 1 4) 1/9))
(.f64 (pow.f64 (pow.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1)))) 2) 1/3) (pow.f64 (pow.f64 1 4) 1/9))
(.f64 (pow.f64 (pow.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1)))) 2) 1/3) (pow.f64 (pow.f64 1 4) 1/9))
(.f64 (pow.f64 (pow.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1)))) 2) 1/3) (pow.f64 (pow.f64 1 4) 1/9))
(.f64 (pow.f64 (pow.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1)))) 2) 1/3) (pow.f64 (pow.f64 1 4) 1/9))
(.f64 (pow.f64 (pow.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1)))) 2) 1/3) (pow.f64 (pow.f64 1 4) 1/9))
(.f64 (pow.f64 (pow.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1)))) 2) 1/3) (pow.f64 (pow.f64 1 4) 1/9))
(pow.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))) 1/3)
(pow.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))) 1/3)
(pow.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))) 1/3)
(pow.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))) 1/3)
(pow.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))) 1/3)
(pow.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))) 1/3)
(pow.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))) 1/3)
(pow.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))) 1/3)
(pow.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))) 1/3)
(pow.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))) 1/3)
(pow.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))) 1/3)
(pow.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))) 1/3)
(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)))
(pow.f64 (pow.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))) 2) 1/9)
(pow.f64 (pow.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))) 2) 1/9)
(pow.f64 (pow.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))) 2) 1/9)
(pow.f64 (pow.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))) 2) 1/9)
(pow.f64 (pow.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))) 2) 1/9)
(pow.f64 (pow.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))) 2) 1/9)
(pow.f64 (pow.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))) 2) 1/9)
(pow.f64 (pow.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))) 2) 1/9)
(pow.f64 (pow.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))) 2) 1/9)
(pow.f64 (pow.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))) 2) 1/9)
(pow.f64 (pow.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))) 2) 1/9)
(pow.f64 (pow.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))) 2) 1/9)

Outputs
(.f64 (pow.f64 (pow.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1)))) 2) 1/3) (pow.f64 (pow.f64 1 4) 1/9))
(.f64 1 (cbrt.f64 (pow.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 2)))
(cbrt.f64 (pow.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2))
(.f64 (pow.f64 (pow.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1)))) 2) 1/3) (pow.f64 (pow.f64 1 4) 1/9))
(.f64 1 (cbrt.f64 (pow.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 2)))
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(pow.f64 (pow.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))) 2) 1/9)
(.f64 (pow.f64 (pow.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 2) 1/18) (pow.f64 (pow.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2) 1/18))
(pow.f64 (pow.f64 (pow.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2) 1/36) 4)
(pow.f64 (pow.f64 (pow.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2) 1/72) 8)

localize31.0ms (0.2%)

Local error

Found 3 expressions with local error:

New

Error

Program

0.7b

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

✓

1.0b

(cbrt.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))) 3))

✓

1.0b

(pow.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))) 3)

Compiler

Compiled 71 to 43 computations (39.4% saved)

series8.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	v	@	inf	(pow.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))) 3)
1.0ms	v	@	0	(pow.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))) 3)
1.0ms	v	@	-inf	(pow.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))) 3)
0.0ms	v	@	inf	(cbrt.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))) 3))
0.0ms	v	@	-inf	(cbrt.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))) 3))

rewrite77.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

473×	`log-prod_binary64`
367×	`exp-prod_binary64`
323×	`prod-exp_binary64`
285×	`pow2_binary64`
263×	`pow-prod-down_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	37
1	265	37
2	2775	37

Stop Event

1×	node limit

Counts

2 → 91

Calls

Call 1

Inputs
(pow.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))) 3)
(cbrt.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))) 3))

Outputs

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

simplify65.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

767×	`unswap-sqr_binary64`
693×	`distribute-rgt-in_binary64`
632×	`distribute-lft-in_binary64`
624×	`associate-l_binary64`
569×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	444
1	30	444
2	49	444
3	89	444
4	196	444
5	628	444
6	2412	444
7	7120	444

Stop Event

1×	node limit

Counts

115 → 94

Calls

Call 1

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

Outputs
(pow.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) 3)
(pow.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))) 3)
(pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 3)
(pow.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) 3)
(pow.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))) 3)
(pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 3)
(pow.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) 3)
(pow.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))) 3)
(pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 3)
(pow.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) 3)
(pow.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))) 3)
(pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 3)
(pow.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) 3)
(pow.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))) 3)
(pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 3)
(pow.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) 3)
(pow.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))) 3)
(pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 3)
(pow.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) 3)
(pow.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))) 3)
(pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 3)
(pow.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) 3)
(pow.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))) 3)
(pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 3)
(pow.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) 3)
(pow.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))) 3)
(pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 3)
(pow.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) 3)
(pow.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))) 3)
(pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 3)
(pow.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) 3)
(pow.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))) 3)
(pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 3)
(pow.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) 3)
(pow.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))) 3)
(pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 3)
(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)))

localize62.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 1/3) 3)
✓	0.0b	(exp.f64 (.f64 (.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 1/3) 3))
	0.7b	(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
✓	1.0b	(.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 1/3)

Compiler

Compiled 106 to 76 computations (28.3% saved)

series4.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	v	@	0	(.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 1/3)
1.0ms	v	@	inf	(.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 1/3)
1.0ms	v	@	-inf	(.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 1/3)
0.0ms	v	@	0	(exp.f64 (.f64 (.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 1/3) 3))
0.0ms	v	@	inf	(exp.f64 (.f64 (.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 1/3) 3))

rewrite93.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

597×	`log-prod_binary64`
341×	`pow2_binary64`
294×	`pow-prod-down_binary64`
238×	`pow1/3_binary64`
237×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	68
1	317	57
2	3599	57

Stop Event

1×	node limit

Counts

3 → 128

Calls

Call 1

Inputs

(*.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 1/3)

(exp.f64 (*.f64 (*.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 1/3) 3))

(*.f64 (*.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 1/3) 3)

Outputs

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

simplify101.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

855×	`fma-neg_binary64`
674×	`unsub-neg_binary64`
424×	`sub-neg_binary64`
379×	`distribute-neg-in_binary64`
364×	`div-sub_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	696
1	21	696
2	28	696
3	37	696
4	55	696
5	96	696
6	178	696
7	390	696
8	794	696
9	2617	696
10	4758	696
11	7050	696

Stop Event

1×	node limit

Counts

164 → 132

Calls

Call 1

Inputs
(.f64 1/3 (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1)))))
(.f64 1/3 (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1)))))
(.f64 1/3 (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1)))))
(.f64 1/3 (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1)))))
(.f64 1/3 (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1)))))
(.f64 1/3 (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1)))))
(.f64 1/3 (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1)))))
(.f64 1/3 (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1)))))
(.f64 1/3 (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1)))))
(.f64 1/3 (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1)))))
(.f64 1/3 (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1)))))
(.f64 1/3 (log.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)))
(log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))
(log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))
(log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))
(log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))
(log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))
(log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))
(log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))
(log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))
(log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))
(log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))
(log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))
(log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))

Outputs
(.f64 1/3 (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1)))))
(.f64 1/3 (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))
(.f64 1/3 (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1)))))
(.f64 1/3 (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))
(.f64 1/3 (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1)))))
(.f64 1/3 (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))
(.f64 1/3 (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1)))))
(.f64 1/3 (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))
(.f64 1/3 (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1)))))
(.f64 1/3 (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))
(.f64 1/3 (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1)))))
(.f64 1/3 (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))
(.f64 1/3 (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1)))))
(.f64 1/3 (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))
(.f64 1/3 (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1)))))
(.f64 1/3 (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))
(.f64 1/3 (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1)))))
(.f64 1/3 (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))
(.f64 1/3 (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1)))))
(.f64 1/3 (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))
(.f64 1/3 (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1)))))
(.f64 1/3 (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))
(.f64 1/3 (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1)))))
(.f64 1/3 (log.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)))
(log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))
(log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))
(log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))
(log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))
(log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))
(log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))
(log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))
(log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))
(log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))
(log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))
(log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))
(log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))
(log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))

localize58.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(expm1.f64 (pow.f64 (cbrt.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) 3))
	0.7b	(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
✓	1.0b	(cbrt.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
✓	1.0b	(pow.f64 (cbrt.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) 3)

Compiler

Compiled 102 to 72 computations (29.4% saved)

series88.0ms (0.5%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
32.0ms	v	@	inf	(pow.f64 (cbrt.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) 3)
31.0ms	v	@	-inf	(pow.f64 (cbrt.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) 3)
22.0ms	v	@	0	(pow.f64 (cbrt.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) 3)
1.0ms	v	@	0	(expm1.f64 (pow.f64 (cbrt.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) 3))
0.0ms	v	@	-inf	(expm1.f64 (pow.f64 (cbrt.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) 3))

rewrite93.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

540×	`log-prod_binary64`
418×	`exp-prod_binary64`
313×	`pow2_binary64`
294×	`pow-prod-down_binary64`
217×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	57
1	304	57
2	3042	57

Stop Event

1×	node limit

Counts

3 → 119

Calls

Call 1

Inputs

(pow.f64 (cbrt.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) 3)

(cbrt.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))

(expm1.f64 (pow.f64 (cbrt.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) 3))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log1p.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 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) 2)) (log.f64 (cbrt.f64 (+.f64 1 (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 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))) (log.f64 (sqrt.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log1p.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 3)) (log.f64 (+.f64 1 (-.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -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 (exp.f64 (log1p.f64 (log1p.f64 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(fma.f64 v v -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2))) (*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))) (cbrt.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 1/6) (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 5/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) (sqrt.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 *.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 5/6) (pow.f64 (log1p.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.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 +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.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 +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.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 -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (log1p.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 (cbrt.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 *.f64 (cbrt.f64 (log1p.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 (cbrt.f64 (cbrt.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))) (cbrt.f64 (cbrt.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2))) (cbrt.f64 (cbrt.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 *.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 1/6) (pow.f64 (log1p.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 pow.f64 (log1p.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 pow.f64 (cbrt.f64 (log1p.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 (cbrt.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 pow.f64 (cbrt.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 3) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 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simplify61.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

724×	`unswap-sqr_binary64`
619×	`fma-neg_binary64`
449×	`associate-l_binary64`
374×	`associate-+l-_binary64`
352×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	18	828
1	45	756
2	73	720
3	123	684
4	232	684
5	791	684
6	4049	684

Stop Event

1×	node limit

Counts

155 → 123

Calls

Call 1

Inputs
(.f64 (pow.f64 1 1/3) (log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))))
(.f64 (pow.f64 1 1/3) (log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))))
(.f64 (pow.f64 1 1/3) (log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))))
(.f64 (pow.f64 1 1/3) (log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))))
(.f64 (pow.f64 1 1/3) (log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))))
(.f64 (pow.f64 1 1/3) (log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))))
(.f64 (pow.f64 1 1/3) (log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))))
(.f64 (pow.f64 1 1/3) (log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))))
(.f64 (pow.f64 1 1/3) (log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))))
(.f64 (pow.f64 1 1/3) (log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))))
(.f64 (pow.f64 1 1/3) (log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))))
(.f64 (pow.f64 1 1/3) (log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))))
(pow.f64 (log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))) 1/3)
(pow.f64 (log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))) 1/3)
(pow.f64 (log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))) 1/3)
(pow.f64 (log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))) 1/3)
(pow.f64 (log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))) 1/3)
(pow.f64 (log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))) 1/3)
(pow.f64 (log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))) 1/3)
(pow.f64 (log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))) 1/3)
(pow.f64 (log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))) 1/3)
(pow.f64 (log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))) 1/3)
(pow.f64 (log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))) 1/3)
(pow.f64 (log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))) 1/3)
(-.f64 (pow.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))) (pow.f64 1 1/3)) 1)
(-.f64 (pow.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))) (pow.f64 1 1/3)) 1)
(-.f64 (pow.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))) (pow.f64 1 1/3)) 1)
(-.f64 (pow.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))) (pow.f64 1 1/3)) 1)
(-.f64 (pow.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))) (pow.f64 1 1/3)) 1)
(-.f64 (pow.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))) (pow.f64 1 1/3)) 1)
(-.f64 (pow.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))) (pow.f64 1 1/3)) 1)
(-.f64 (pow.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))) (pow.f64 1 1/3)) 1)
(-.f64 (pow.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))) (pow.f64 1 1/3)) 1)
(-.f64 (pow.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))) (pow.f64 1 1/3)) 1)
(-.f64 (pow.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))) (pow.f64 1 1/3)) 1)
(-.f64 (pow.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))) (pow.f64 1 1/3)) 1)

Outputs
(.f64 (pow.f64 1 1/3) (log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))))
(.f64 1 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))
(log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(.f64 (pow.f64 1 1/3) (log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))))
(.f64 1 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))
(log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(.f64 (pow.f64 1 1/3) (log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))))
(.f64 1 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))
(log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(.f64 (pow.f64 1 1/3) (log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))))
(.f64 1 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))
(log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(.f64 (pow.f64 1 1/3) (log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))))
(.f64 1 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))
(log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(.f64 (pow.f64 1 1/3) (log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))))
(.f64 1 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))
(log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(.f64 (pow.f64 1 1/3) (log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))))
(.f64 1 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))
(log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(.f64 (pow.f64 1 1/3) (log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))))
(.f64 1 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))
(log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(.f64 (pow.f64 1 1/3) (log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))))
(.f64 1 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))
(log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(.f64 (pow.f64 1 1/3) (log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))))
(.f64 1 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))
(log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(.f64 (pow.f64 1 1/3) (log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))))
(.f64 1 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))
(log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(.f64 (pow.f64 1 1/3) (log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))))
(.f64 1 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))
(log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(pow.f64 (log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))) 1/3)
(cbrt.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
(pow.f64 (log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))) 1/3)
(cbrt.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
(pow.f64 (log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))) 1/3)
(cbrt.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
(pow.f64 (log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))) 1/3)
(cbrt.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
(pow.f64 (log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))) 1/3)
(cbrt.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
(pow.f64 (log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))) 1/3)
(cbrt.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
(pow.f64 (log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))) 1/3)
(cbrt.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
(pow.f64 (log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))) 1/3)
(cbrt.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
(pow.f64 (log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))) 1/3)
(cbrt.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
(pow.f64 (log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))) 1/3)
(cbrt.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
(pow.f64 (log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))) 1/3)
(cbrt.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
(pow.f64 (log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))) 1/3)
(cbrt.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
(-.f64 (pow.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))) (pow.f64 1 1/3)) 1)
(+.f64 (pow.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 1) -1)
(+.f64 -1 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
(+.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 0)
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(-.f64 (pow.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))) (pow.f64 1 1/3)) 1)
(+.f64 (pow.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 1) -1)
(+.f64 -1 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
(+.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 0)
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(-.f64 (pow.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))) (pow.f64 1 1/3)) 1)
(+.f64 (pow.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 1) -1)
(+.f64 -1 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
(+.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 0)
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(-.f64 (pow.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))) (pow.f64 1 1/3)) 1)
(+.f64 (pow.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 1) -1)
(+.f64 -1 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
(+.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 0)
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(-.f64 (pow.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))) (pow.f64 1 1/3)) 1)
(+.f64 (pow.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 1) -1)
(+.f64 -1 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
(+.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 0)
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(-.f64 (pow.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))) (pow.f64 1 1/3)) 1)
(+.f64 (pow.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 1) -1)
(+.f64 -1 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
(+.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 0)
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(-.f64 (pow.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))) (pow.f64 1 1/3)) 1)
(+.f64 (pow.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 1) -1)
(+.f64 -1 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
(+.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 0)
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(-.f64 (pow.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))) (pow.f64 1 1/3)) 1)
(+.f64 (pow.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 1) -1)
(+.f64 -1 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
(+.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 0)
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(-.f64 (pow.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))) (pow.f64 1 1/3)) 1)
(+.f64 (pow.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 1) -1)
(+.f64 -1 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
(+.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 0)
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(-.f64 (pow.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))) (pow.f64 1 1/3)) 1)
(+.f64 (pow.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 1) -1)
(+.f64 -1 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
(+.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 0)
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(-.f64 (pow.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))) (pow.f64 1 1/3)) 1)
(+.f64 (pow.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 1) -1)
(+.f64 -1 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
(+.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 0)
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(-.f64 (pow.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))) (pow.f64 1 1/3)) 1)
(+.f64 (pow.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 1) -1)
(+.f64 -1 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
(+.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 0)
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))

localize87.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) 2)
	0.7b	(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
✓	1.0b	(cbrt.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
✓	1.5b	(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) 2) (cbrt.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) -1)

Compiler

Compiled 193 to 143 computations (25.9% saved)

series10.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	v	@	-inf	(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) 2) (cbrt.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) -1)
3.0ms	v	@	inf	(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) 2) (cbrt.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) -1)
3.0ms	v	@	0	(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) 2) (cbrt.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) -1)
0.0ms	v	@	0	(cbrt.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
0.0ms	v	@	inf	(pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) 2)

rewrite84.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

620×	`log-prod_binary64`
367×	`pow2_binary64`
256×	`pow1/3_binary64`
253×	`log1p-udef_binary64`
252×	`expm1-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	70
1	311	67
2	3665	63

Stop Event

1×	node limit

Counts

3 → 93

Calls

Call 1

Inputs

(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) 2) (cbrt.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) -1)

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

(pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) 2)

Outputs

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

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

simplify91.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

807×	`fma-def_binary64`
658×	`unswap-sqr_binary64`
512×	`distribute-rgt-in_binary64`
473×	`distribute-lft-in_binary64`
384×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	19	852
1	53	840
2	88	804
3	181	768
4	375	768
5	1245	768
6	5366	768

Stop Event

1×	node limit

Counts

129 → 99

Calls

Call 1

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

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

eval1.6s (9%)

Compiler: Compiled 43018 to 32959 computations (23.4% saved)

prune193.0ms (1.1%)

Pruning

25 alts after pruning (19 fresh and 6 done)

	Pruned	Kept	Total
New	1049	12	1061
Fresh	6	7	13
Picked	1	0	1
Done	2	6	8
Total	1058	25	1083

Error

0.7b

Counts

1083 → 25

Alt Table

Click to see full alt table

Status	Error	Program
	62.6b	(exp.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))) 2) 3) (cbrt.f64 (log.f64 (/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))))
	1.7b	(pow.f64 (exp.f64 (.f64 (log.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))) 3)) 3)
▶	2.2b	(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) 3) 3)
	62.6b	(expm1.f64 (log1p.f64 (fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) 2) (cbrt.f64 (+.f64 1 (/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))))) -1)))
	1.7b	(pow.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1/3) 3)
✓	3.4b	(expm1.f64 (pow.f64 (cbrt.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) 3))
▶	2.6b	(pow.f64 (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2) 3/2)
✓	1.7b	(cbrt.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))) 3))
▶	0.7b	(-.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 1)
	1.7b	(pow.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))) 2)
✓	0.7b	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))
	5.5b	(exp.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))))) 9)) 2) 3) (cbrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))
✓	1.7b	(pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))) 3)
	1.7b	(pow.f64 (cbrt.f64 (-.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 1)) 3)
	3.4b	(expm1.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))) 3))
	3.7b	(pow.f64 (cbrt.f64 (E.f64)) (.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 3))
	2.2b	(pow.f64 (pow.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1/6) 2) 3)
	4.4b	(expm1.f64 (pow.f64 (log1p.f64 (expm1.f64 (cbrt.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))) 3))
▶	0.7b	(expm1.f64 (log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))
	2.2b	(expm1.f64 (cbrt.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 3)))
	3.9b	(exp.f64 (.f64 (pow.f64 (pow.f64 (pow.f64 (pow.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 2) 1/72) 8) 3) (cbrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))
✓	0.7b	(expm1.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))))
	2.2b	(expm1.f64 (pow.f64 (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))))))) 3))
▶	4.9b	(expm1.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))) 3) 3))
✓	1.7b	(exp.f64 (.f64 (.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 1/3) 3))

Compiler

Compiled 1103 to 866 computations (21.5% saved)

localize45.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
✓	0.0b	(+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
✓	0.0b	(expm1.f64 (log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))
	0.7b	(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))

Compiler

Compiled 86 to 60 computations (30.2% saved)

series15.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
9.0ms	v	@	-inf	(expm1.f64 (log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))
3.0ms	v	@	inf	(+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
1.0ms	v	@	0	(expm1.f64 (log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))
0.0ms	v	@	inf	(expm1.f64 (log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))
0.0ms	v	@	0	(+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))

rewrite115.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

532×	`log-prod_binary64`
309×	`pow2_binary64`
291×	`pow-prod-down_binary64`
221×	`prod-diff_binary64`
217×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	56
1	266	56
2	3038	56

Stop Event

1×	node limit

Counts

3 → 179

Calls

Call 1

Inputs

(expm1.f64 (log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))

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

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

simplify99.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

862×	`fma-neg_binary64`
673×	`unsub-neg_binary64`
422×	`sub-neg_binary64`
382×	`distribute-neg-in_binary64`
335×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	672
1	21	672
2	28	672
3	37	672
4	55	672
5	96	672
6	178	672
7	392	672
8	796	672
9	2649	672
10	4791	672
11	7017	672

Stop Event

1×	node limit

Counts

215 → 185

Calls

Call 1

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

Outputs
(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)))
(+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))
(+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))
(+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))
(+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))
(+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))
(+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))
(+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))
(+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))
(+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))
(+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))
(+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))
(+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))
(+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))))
(log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))))
(log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))))
(log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))))
(log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))))
(log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))))
(log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))))
(log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))))
(log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))))
(log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))))
(log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))))
(log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))))
(log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))

localize33.0ms (0.2%)

Local error

Found 3 expressions with local error:

New

Error

Program

0.0b

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

✓

0.0b

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

0.7b

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

Compiler

Compiled 71 to 49 computations (31% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

0.0ms

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

0.0ms

-inf

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

0.0ms

inf

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

rewrite69.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

525×	`log-prod_binary64`
311×	`pow2_binary64`
311×	`fma-def_binary64`
299×	`prod-diff_binary64`
215×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	23
1	261	17
2	3473	17

Stop Event

1×	node limit

Counts

1 → 81

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.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 (*.f64 (+.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.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))) 0)))) (#(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 (+.f64 1 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))) -1)))) (#(struct:change #<rule 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(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 acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))) (sqrt.f64 (*.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))) (+.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (*.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))) 1))))) (#(struct:change #<rule 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-1))) 1 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))))) (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))))) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))))) 2) (cbrt.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))))) 2) (*.f64 (cbrt.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))) (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.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)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))))) (sqrt.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))))) (*.f64 (sqrt.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))) (sqrt.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.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 fma.f64 (expm1.f64 (*.f64 3 (log1p.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))) 2) (+.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))) 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (pow.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))) 3)) (/.f64 1 (fma.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))) (+.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))) -1) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))))) (/.f64 1 (+.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))) 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (pow.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))) 2)) (/.f64 1 (-.f64 1 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))))) -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 (*.f64 v v) -5 1) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))) -1)) 2) (cbrt.f64 (+.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))) -1)) 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 (*.f64 v v) -5 1) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))) -1)) (sqrt.f64 (+.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))))) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))) 1) (-.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))) 1) 1)))))

simplify75.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

855×	`fma-neg_binary64`
673×	`unsub-neg_binary64`
418×	`sub-neg_binary64`
381×	`distribute-neg-in_binary64`
339×	`div-sub_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	204
1	17	204
2	24	204
3	33	204
4	51	204
5	90	204
6	172	204
7	386	204
8	793	204
9	2637	204
10	4776	204
11	7014	204

Stop Event

1×	node limit

Counts

93 → 83

Calls

Call 1

Inputs
(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
(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)))

localize44.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f64 (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2) 3/2)
	0.7b	(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
✓	1.0b	(pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2)
✓	1.0b	(cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))

Compiler

Compiled 88 to 62 computations (29.5% saved)

series84.0ms (0.5%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
29.0ms	v	@	-inf	(pow.f64 (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2) 3/2)
26.0ms	v	@	inf	(pow.f64 (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2) 3/2)
21.0ms	v	@	0	(pow.f64 (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2) 3/2)
2.0ms	v	@	inf	(cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
2.0ms	v	@	0	(cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))

rewrite89.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

547×	`log-prod_binary64`
328×	`pow2_binary64`
289×	`pow-prod-down_binary64`
228×	`pow1/3_binary64`
227×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	63
1	309	58
2	3414	58

Stop Event

1×	node limit

Counts

3 → 102

Calls

Call 1

Inputs

(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)

(pow.f64 (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2) 3/2)

Outputs

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

simplify102.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

849×	`fma-neg_binary64`
468×	`associate-l_binary64`
420×	`unsub-neg_binary64`
323×	`fma-def_binary64`
319×	`associate-r_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	696
1	34	696
2	53	696
3	88	696
4	171	696
5	484	696
6	1739	696
7	2207	696
8	2867	696
9	4990	696
10	7319	696

Stop Event

1×	node limit

Counts

138 → 106

Calls

Call 1

Inputs
(pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 1/3)
(pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 1/3)
(pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 1/3)
(pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 1/3)
(pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 1/3)
(pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 1/3)
(pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 1/3)
(pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 1/3)
(pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 1/3)
(pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 1/3)
(pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 1/3)
(pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 1/3)
(pow.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 2) 1/3)
(pow.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 2) 1/3)
(pow.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 2) 1/3)
(pow.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 2) 1/3)
(pow.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 2) 1/3)
(pow.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 2) 1/3)
(pow.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 2) 1/3)
(pow.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 2) 1/3)
(pow.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 2) 1/3)
(pow.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 2) 1/3)
(pow.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 2) 1/3)
(pow.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 2) 1/3)
(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
(pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 1/3)
(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 -5 v) 1) (fma.f64 v v -1))) 1/3)
(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 -5 v) 1) (fma.f64 v v -1))) 1/3)
(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 -5 v) 1) (fma.f64 v v -1))) 1/3)
(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 -5 v) 1) (fma.f64 v v -1))) 1/3)
(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 -5 v) 1) (fma.f64 v v -1))) 1/3)
(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 -5 v) 1) (fma.f64 v v -1))) 1/3)
(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 -5 v) 1) (fma.f64 v v -1))) 1/3)
(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 -5 v) 1) (fma.f64 v v -1))) 1/3)
(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 -5 v) 1) (fma.f64 v v -1))) 1/3)
(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 -5 v) 1) (fma.f64 v v -1))) 1/3)
(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 -5 v) 1) (fma.f64 v v -1))) 1/3)
(cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(pow.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 2) 1/3)
(cbrt.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 2))
(pow.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 2) 1/3)
(cbrt.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 2))
(pow.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 2) 1/3)
(cbrt.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 2))
(pow.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 2) 1/3)
(cbrt.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 2))
(pow.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 2) 1/3)
(cbrt.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 2))
(pow.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 2) 1/3)
(cbrt.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 2))
(pow.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 2) 1/3)
(cbrt.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 2))
(pow.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 2) 1/3)
(cbrt.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 2))
(pow.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 2) 1/3)
(cbrt.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 2))
(pow.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 2) 1/3)
(cbrt.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 2))
(pow.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 2) 1/3)
(cbrt.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 2))
(pow.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 2) 1/3)
(cbrt.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 2))
(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)))

localize64.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) 3)
	0.7b	(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
	1.0b	(cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
✓	1.5b	(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) 3) 3)

Compiler

Compiled 103 to 73 computations (29.1% saved)

series272.0ms (1.5%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
244.0ms	v	@	inf	(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) 3) 3)
17.0ms	v	@	0	(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) 3) 3)
11.0ms	v	@	-inf	(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) 3) 3)
0.0ms	v	@	0	(pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) 3)
0.0ms	v	@	-inf	(pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) 3)

rewrite79.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

552×	`log-prod_binary64`
330×	`pow-prod-down_binary64`
313×	`pow2_binary64`
216×	`pow-to-exp_binary64`
214×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	36
1	311	36
2	3093	36

Stop Event

1×	node limit

Counts

2 → 87

Calls

Call 1

Inputs

(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) 3) 3)

(pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) 3)

Outputs

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(#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (*.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)))) (fma.f64 (neg.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) (*.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))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (*.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)))) (fma.f64 (neg.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 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(neg.f64 (*.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)))) (fma.f64 (neg.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) (*.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))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) 2)) (log.f64 (cbrt.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 +.f64 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))) (log.f64 (sqrt.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 -.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 v (*.f64 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 v (*.f64 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 v (*.f64 v -5) 1) (fma.f64 v v -1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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 (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))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) 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-1))) 3)) (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (+.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 2) (*.f64 (*.f64 (PI.f64) 1/2) (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) 2) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 2)) (fma.f64 (PI.f64) 1/2 (asin.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 acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))) (#(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 1/9 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) 9))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2/3 (log.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 exp.f64 (*.f64 (log.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 3)) 1/3))))) (#(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))))) 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))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 1/9 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) 9) 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)))) 1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.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 (*.f64 (log.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) 1/3) 9))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 1/9 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) 1) 9))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) 3/2) 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)))))))))

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

simplify96.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

852×	`fma-neg_binary64`
401×	`unsub-neg_binary64`
362×	`unswap-sqr_binary64`
332×	`distribute-neg-in_binary64`
323×	`fma-def_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	504
1	39	432
2	60	432
3	86	432
4	140	432
5	298	432
6	808	432
7	1678	432
8	2149	432
9	4123	432
10	6188	432
11	7808	432

Stop Event

1×	node limit

Counts

111 → 89

Calls

Call 1

Inputs
(.f64 (pow.f64 1 1/9) (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))
(.f64 (pow.f64 1 1/9) (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))
(.f64 (pow.f64 1 1/9) (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))
(.f64 (pow.f64 1 1/9) (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))
(.f64 (pow.f64 1 1/9) (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))
(.f64 (pow.f64 1 1/9) (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))
(.f64 (pow.f64 1 1/9) (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))
(.f64 (pow.f64 1 1/9) (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))
(.f64 (pow.f64 1 1/9) (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))
(.f64 (pow.f64 1 1/9) (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))
(.f64 (pow.f64 1 1/9) (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))
(.f64 (pow.f64 1 1/9) (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 1/3))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 1/3))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 1/3))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 1/3))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 1/3))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 1/3))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 1/3))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 1/3))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 1/3))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 1/3))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 1/3))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 1/3))

Outputs
(.f64 (pow.f64 1 1/9) (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))
(.f64 1 (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)))
(.f64 (pow.f64 1 1/9) (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))
(.f64 1 (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)))
(.f64 (pow.f64 1 1/9) (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))
(.f64 1 (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)))
(.f64 (pow.f64 1 1/9) (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))
(.f64 1 (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)))
(.f64 (pow.f64 1 1/9) (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))
(.f64 1 (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)))
(.f64 (pow.f64 1 1/9) (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))
(.f64 1 (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)))
(.f64 (pow.f64 1 1/9) (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))
(.f64 1 (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)))
(.f64 (pow.f64 1 1/9) (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))
(.f64 1 (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)))
(.f64 (pow.f64 1 1/9) (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))
(.f64 1 (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)))
(.f64 (pow.f64 1 1/9) (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))
(.f64 1 (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)))
(.f64 (pow.f64 1 1/9) (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))
(.f64 1 (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)))
(.f64 (pow.f64 1 1/9) (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))
(.f64 1 (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)))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 1/3))
(.f64 1 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))
(cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 1/3))
(.f64 1 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))
(cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 1/3))
(.f64 1 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))
(cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 1/3))
(.f64 1 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))
(cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 1/3))
(.f64 1 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))
(cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 1/3))
(.f64 1 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))
(cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 1/3))
(.f64 1 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))
(cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 1/3))
(.f64 1 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))
(cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 1/3))
(.f64 1 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))
(cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 1/3))
(.f64 1 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))
(cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 1/3))
(.f64 1 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))
(cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 1/3))
(.f64 1 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))
(cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))

localize69.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))) 3)
	0.7b	(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
	1.0b	(cbrt.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
✓	1.0b	(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))) 3) 3)

Compiler

Compiled 140 to 102 computations (27.1% saved)

series77.0ms (0.4%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
30.0ms	v	@	0	(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))) 3) 3)
23.0ms	v	@	-inf	(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))) 3) 3)
23.0ms	v	@	inf	(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))) 3) 3)
0.0ms	v	@	0	(pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))) 3)
0.0ms	v	@	inf	(pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))) 3)

rewrite82.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

590×	`log-prod_binary64`
350×	`pow-prod-down_binary64`
333×	`pow2_binary64`
231×	`pow-to-exp_binary64`
229×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	40
1	329	40
2	3287	40

Stop Event

1×	node limit

Counts

2 → 55

Calls

Call 1

Inputs

(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))) 3) 3)

(pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))) 3)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log1p.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 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) 2)) (log.f64 (cbrt.f64 (+.f64 1 (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 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))) (log.f64 (sqrt.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log1p.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 3)) (log.f64 (+.f64 1 (-.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -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 (exp.f64 (log1p.f64 (log1p.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 (log.f64 (-.f64 1 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 2))) (log.f64 (-.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.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 (cbrt.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) (cbrt.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))) 8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2)) (cbrt.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 *.f64 (pow.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 1/18) 4) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))) 7))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) (sqrt.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 *.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 1/6) (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 5/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))) 7) (pow.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 1/18) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 5/6) (pow.f64 (log1p.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 (*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2)) 1) (cbrt.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 *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))) 8) (cbrt.f64 (cbrt.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 sqrt.f64 (pow.f64 (log1p.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 (+.f64 1 (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 (log1p.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 (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 (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 (log1p.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 (log1p.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 1/9 (log.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))) 9))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2/3 (log.f64 (log1p.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 exp.f64 (*.f64 (log.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))) 2))))))

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

simplify98.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

849×	`fma-neg_binary64`
401×	`unsub-neg_binary64`
362×	`unswap-sqr_binary64`
343×	`distribute-neg-in_binary64`
323×	`fma-def_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	552
1	43	480
2	64	480
3	90	480
4	143	480
5	302	480
6	825	480
7	1698	480
8	2169	480
9	4142	480
10	6205	480
11	7844	480

Stop Event

1×	node limit

Counts

79 → 59

Calls

Call 1

Inputs
(.f64 (pow.f64 1 1/9) (log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))))
(.f64 (pow.f64 1 1/9) (log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))))
(.f64 (pow.f64 1 1/9) (log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))))
(.f64 (pow.f64 1 1/9) (log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))))
(.f64 (pow.f64 1 1/9) (log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))))
(.f64 (pow.f64 1 1/9) (log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))))
(.f64 (pow.f64 1 1/9) (log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))))
(.f64 (pow.f64 1 1/9) (log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))))
(.f64 (pow.f64 1 1/9) (log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))))
(.f64 (pow.f64 1 1/9) (log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))))
(.f64 (pow.f64 1 1/9) (log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))))
(.f64 (pow.f64 1 1/9) (log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))) 1/3))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))) 1/3))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))) 1/3))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))) 1/3))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))) 1/3))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))) 1/3))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))) 1/3))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))) 1/3))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))) 1/3))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))) 1/3))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))) 1/3))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))) 1/3))

Outputs
(.f64 (pow.f64 1 1/9) (log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))))
(.f64 1 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))
(log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(log1p.f64 (acos.f64 (/.f64 (fma.f64 -5 (*.f64 v v) 1) (fma.f64 v v -1))))
(.f64 (pow.f64 1 1/9) (log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))))
(.f64 1 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))
(log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(log1p.f64 (acos.f64 (/.f64 (fma.f64 -5 (*.f64 v v) 1) (fma.f64 v v -1))))
(.f64 (pow.f64 1 1/9) (log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))))
(.f64 1 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))
(log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(log1p.f64 (acos.f64 (/.f64 (fma.f64 -5 (*.f64 v v) 1) (fma.f64 v v -1))))
(.f64 (pow.f64 1 1/9) (log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))))
(.f64 1 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))
(log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(log1p.f64 (acos.f64 (/.f64 (fma.f64 -5 (*.f64 v v) 1) (fma.f64 v v -1))))
(.f64 (pow.f64 1 1/9) (log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))))
(.f64 1 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))
(log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(log1p.f64 (acos.f64 (/.f64 (fma.f64 -5 (*.f64 v v) 1) (fma.f64 v v -1))))
(.f64 (pow.f64 1 1/9) (log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))))
(.f64 1 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))
(log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(log1p.f64 (acos.f64 (/.f64 (fma.f64 -5 (*.f64 v v) 1) (fma.f64 v v -1))))
(.f64 (pow.f64 1 1/9) (log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))))
(.f64 1 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))
(log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(log1p.f64 (acos.f64 (/.f64 (fma.f64 -5 (*.f64 v v) 1) (fma.f64 v v -1))))
(.f64 (pow.f64 1 1/9) (log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))))
(.f64 1 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))
(log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(log1p.f64 (acos.f64 (/.f64 (fma.f64 -5 (*.f64 v v) 1) (fma.f64 v v -1))))
(.f64 (pow.f64 1 1/9) (log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))))
(.f64 1 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))
(log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(log1p.f64 (acos.f64 (/.f64 (fma.f64 -5 (*.f64 v v) 1) (fma.f64 v v -1))))
(.f64 (pow.f64 1 1/9) (log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))))
(.f64 1 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))
(log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(log1p.f64 (acos.f64 (/.f64 (fma.f64 -5 (*.f64 v v) 1) (fma.f64 v v -1))))
(.f64 (pow.f64 1 1/9) (log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))))
(.f64 1 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))
(log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(log1p.f64 (acos.f64 (/.f64 (fma.f64 -5 (*.f64 v v) 1) (fma.f64 v v -1))))
(.f64 (pow.f64 1 1/9) (log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))))
(.f64 1 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))
(log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(log1p.f64 (acos.f64 (/.f64 (fma.f64 -5 (*.f64 v v) 1) (fma.f64 v v -1))))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))) 1/3))
(.f64 1 (cbrt.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))))
(cbrt.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
(cbrt.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 -5 (*.f64 v v) 1) (fma.f64 v v -1)))))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))) 1/3))
(.f64 1 (cbrt.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))))
(cbrt.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
(cbrt.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 -5 (*.f64 v v) 1) (fma.f64 v v -1)))))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))) 1/3))
(.f64 1 (cbrt.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))))
(cbrt.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
(cbrt.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 -5 (*.f64 v v) 1) (fma.f64 v v -1)))))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))) 1/3))
(.f64 1 (cbrt.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))))
(cbrt.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
(cbrt.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 -5 (*.f64 v v) 1) (fma.f64 v v -1)))))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))) 1/3))
(.f64 1 (cbrt.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))))
(cbrt.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
(cbrt.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 -5 (*.f64 v v) 1) (fma.f64 v v -1)))))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))) 1/3))
(.f64 1 (cbrt.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))))
(cbrt.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
(cbrt.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 -5 (*.f64 v v) 1) (fma.f64 v v -1)))))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))) 1/3))
(.f64 1 (cbrt.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))))
(cbrt.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
(cbrt.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 -5 (*.f64 v v) 1) (fma.f64 v v -1)))))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))) 1/3))
(.f64 1 (cbrt.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))))
(cbrt.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
(cbrt.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 -5 (*.f64 v v) 1) (fma.f64 v v -1)))))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))) 1/3))
(.f64 1 (cbrt.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))))
(cbrt.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
(cbrt.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 -5 (*.f64 v v) 1) (fma.f64 v v -1)))))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))) 1/3))
(.f64 1 (cbrt.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))))
(cbrt.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
(cbrt.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 -5 (*.f64 v v) 1) (fma.f64 v v -1)))))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))) 1/3))
(.f64 1 (cbrt.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))))
(cbrt.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
(cbrt.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 -5 (*.f64 v v) 1) (fma.f64 v v -1)))))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))) 1/3))
(.f64 1 (cbrt.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))))
(cbrt.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
(cbrt.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 -5 (*.f64 v v) 1) (fma.f64 v v -1)))))

eval959.0ms (5.4%)

Compiler: Compiled 32638 to 24420 computations (25.2% saved)

prune168.0ms (0.9%)

Pruning

28 alts after pruning (17 fresh and 11 done)

	Pruned	Kept	Total
New	998	8	1006
Fresh	5	9	14
Picked	0	1	1
Done	0	10	10
Total	1003	28	1031

Error

0.7b

Counts

1031 → 28

Alt Table

Click to see full alt table

Status	Error	Program
	2.2b	(-.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))))) 3) 1)
	1.7b	(pow.f64 (exp.f64 (.f64 (log.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))) 3)) 3)
	62.6b	(exp.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))) 2) 3) (cbrt.f64 (log.f64 (/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))))
✓	2.2b	(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) 3) 3)
	62.6b	(expm1.f64 (log1p.f64 (fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) 2) (cbrt.f64 (+.f64 1 (/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))))) -1)))
	2.2b	(expm1.f64 (.f64 1/3 (.f64 3 (log1p.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))))))
	2.2b	(expm1.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))) 1/3)) 3) 3))
	3.9b	(exp.f64 (.f64 (pow.f64 (pow.f64 (pow.f64 (pow.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 2) 1/72) 8) 3) (cbrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))
	1.7b	(pow.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))) 2)
	1.7b	(pow.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1/3) 3)
✓	3.4b	(expm1.f64 (pow.f64 (cbrt.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) 3))
✓	2.6b	(pow.f64 (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2) 3/2)
✓	1.7b	(cbrt.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))) 3))
✓	0.7b	(-.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 1)
	2.2b	(expm1.f64 (cbrt.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))) 3)))
✓	0.7b	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))
	5.5b	(exp.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))))) 9)) 2) 3) (cbrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))
	2.2b	(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (exp.f64 (cbrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))) (pow.f64 (cbrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) 2)))) 3) 3)
✓	1.7b	(pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))) 3)
	3.4b	(expm1.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))) 3))
	3.7b	(pow.f64 (cbrt.f64 (E.f64)) (.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 3))
	4.4b	(expm1.f64 (pow.f64 (log1p.f64 (expm1.f64 (cbrt.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))) 3))
✓	1.7b	(exp.f64 (.f64 (.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 1/3) 3))
	1.7b	(pow.f64 (exp.f64 (.f64 (.f64 (.f64 1/9 (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) 9) 1/3)) 3)
✓	0.7b	(expm1.f64 (log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))
✓	0.7b	(expm1.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))))
✓	4.9b	(expm1.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))) 3) 3))
	2.2b	(pow.f64 (pow.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1/6) 2) 3)

Compiler

Compiled 665 to 522 computations (21.5% saved)

regimes153.0ms (0.9%)

Counts

45 → 1

Calls

Call 1

Inputs
(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))
(-.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 1)
(exp.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))))
(expm1.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))))
(pow.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))) 2)
(pow.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))) 2)
(pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))) 3)
(cbrt.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))) 3))
(pow.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1/3) 3)
(expm1.f64 (log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))
(expm1.f64 (.f64 1/3 (.f64 3 (log1p.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))))))
(exp.f64 (.f64 (.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 1/3) 3))
(-.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))))) 3) 1)
(pow.f64 (cbrt.f64 (-.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 1)) 3)
(pow.f64 (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2) 3/2)
(pow.f64 (pow.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1/6) 2) 3)
(pow.f64 (exp.f64 (.f64 (.f64 (.f64 1/9 (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) 9) 1/3)) 3)
(expm1.f64 (cbrt.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))) 3)))
(expm1.f64 (cbrt.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 3)))
(expm1.f64 (cbrt.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 3)))
(expm1.f64 (pow.f64 (cbrt.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) 3))
(pow.f64 (cbrt.f64 (E.f64)) (.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 3))
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) 3) 3)
(pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 3))) 3)
(pow.f64 (exp.f64 (.f64 (log.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))) 3)) 3)
(fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))))
(expm1.f64 (pow.f64 (log1p.f64 (expm1.f64 (cbrt.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))) 3))
(expm1.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))) 3))
(expm1.f64 (pow.f64 (log1p.f64 (expm1.f64 (cbrt.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))) 3))
(expm1.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))) 3) 3))
(expm1.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))) 1/3)) 3) 3))
(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)))))
(expm1.f64 (log1p.f64 (fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) 2) (cbrt.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) -1)))
(exp.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))) 2) 3) (cbrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))
(expm1.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))) 2) 3) (cbrt.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))
(pow.f64 (cbrt.f64 (.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) 3))) 3)
(exp.f64 (.f64 (pow.f64 (pow.f64 (pow.f64 (pow.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 2) 1/72) 8) 3) (cbrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (E.f64)) 2) (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) (pow.f64 (cbrt.f64 (E.f64)) (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))
(expm1.f64 (.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))) 3)))
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (exp.f64 (cbrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))) (pow.f64 (cbrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) 2)))) 3) 3)
(exp.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))))) 9)) 2) 3) (cbrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))
(expm1.f64 (pow.f64 (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))))))) 3))
(expm1.f64 (log1p.f64 (fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) 2) (cbrt.f64 (+.f64 1 (/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))))) -1)))
(exp.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))) 2) 3) (cbrt.f64 (log.f64 (/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (/.f64 (fma.f64 v (*.f64 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

(exp.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))) 2) 3) (cbrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))

Calls

4 calls:

51.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))
25.0ms	v
11.0ms	(*.f64 v v)
4.0ms	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))

Results

Error	Segments	Branch
0.7b	1	`v`
0.7b	1	`(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))`
0.7b	1	`(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))`
0.7b	1	`(*.f64 v v)`

Compiler

Compiled 1234 to 917 computations (25.7% saved)

regimes69.0ms (0.4%)

Accuracy

Total -4.2b remaining (-561%)

Threshold costs -4.2b (-561%)

Counts

33 → 1

Calls

Call 1

Inputs
(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))
(-.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 1)
(exp.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))))
(expm1.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))))
(pow.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))) 2)
(pow.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))) 2)
(pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))) 3)
(cbrt.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))) 3))
(pow.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1/3) 3)
(expm1.f64 (log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))
(expm1.f64 (.f64 1/3 (.f64 3 (log1p.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))))))
(exp.f64 (.f64 (.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 1/3) 3))
(-.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))))) 3) 1)
(pow.f64 (cbrt.f64 (-.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 1)) 3)
(pow.f64 (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2) 3/2)
(pow.f64 (pow.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1/6) 2) 3)
(pow.f64 (exp.f64 (.f64 (.f64 (.f64 1/9 (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) 9) 1/3)) 3)
(expm1.f64 (cbrt.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))) 3)))
(expm1.f64 (cbrt.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 3)))
(expm1.f64 (cbrt.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 3)))
(expm1.f64 (pow.f64 (cbrt.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) 3))
(pow.f64 (cbrt.f64 (E.f64)) (.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 3))
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) 3) 3)
(pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 3))) 3)
(pow.f64 (exp.f64 (.f64 (log.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))) 3)) 3)
(fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))))
(expm1.f64 (pow.f64 (log1p.f64 (expm1.f64 (cbrt.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))) 3))
(expm1.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))) 3))
(expm1.f64 (pow.f64 (log1p.f64 (expm1.f64 (cbrt.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))) 3))
(expm1.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))) 3) 3))
(expm1.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))) 1/3)) 3) 3))
(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)))))
(expm1.f64 (log1p.f64 (fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) 2) (cbrt.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) -1)))

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

Calls

4 calls:

16.0ms	v
7.0ms	(*.f64 v v)
4.0ms	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))
4.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

Results

Error	Segments	Branch
0.7b	1	`v`
0.7b	1	`(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))`
0.7b	1	`(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))`
0.7b	1	`(*.f64 v v)`

Compiler

Compiled 644 to 479 computations (25.6% saved)

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	75
1	38	75
2	47	75
3	54	75
4	59	75
5	62	75
6	63	75

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs

(exp.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))) 2) 3) (cbrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))

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

Outputs
(exp.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))) 2) 3) (cbrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))
(exp.f64 (.f64 (cbrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))) 2) 3)))
(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 -5 (.f64 v v))) (+.f64 -1 (*.f64 v v))))

Compiler

Compiled 51 to 38 computations (25.5% saved)

soundness0.0ms (0%)

end109.0ms (0.6%)

Compiler: Compiled 50 to 37 computations (26% saved)