Details

analyze589.0ms (4.1%)

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)

sample6.0s (41.9%)

Results

2.7s	4037×	body	2048	valid
1.5s	8412×	body	256	invalid
1.2s	2113×	body	1024	valid
363.0ms	1095×	body	512	valid
148.0ms	1010×	body	256	valid
1.0ms	1×	body	4096	valid

preprocess71.0ms (0.5%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

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

Compiler

Compiled 16 to 11 computations (31.3% saved)

simplify59.0ms (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)

prune2.0ms (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

0.4b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.4b	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

Compiler

Compiled 15 to 10 computations (33.3% saved)

localize57.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))
✓	0.2b	(.f64 5 (.f64 v v))
✓	0.4b	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

Compiler

Compiled 51 to 27 computations (47.1% saved)

series8.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite357.0ms (2.5%)

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	43
1	236	43
2	3342	39

Stop Event

1×	node limit

Counts

3 → 237

Calls

Call 1

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

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

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

simplify75.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

273 → 255

Calls

Call 1

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

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

eval335.0ms (2.3%)

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

prune64.0ms (0.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	248	7	255
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	248	8	256

Error

0.4b

Counts

256 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.4b	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))
▶	0.9b	(acos.f64 (fma.f64 v (*.f64 v 4) -1))
▶	1.4b	(pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))) 3)
	2.4b	(+.f64 (fma.f64 (.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) (cbrt.f64 (.f64 (PI.f64) 1/2))) (cbrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (.f64 (cbrt.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1)))) (.f64 (cbrt.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1)))) (cbrt.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1)))))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1))))) (.f64 (cbrt.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1)))) (cbrt.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1))))) (.f64 (cbrt.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1)))) (.f64 (cbrt.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1)))) (cbrt.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1))))))))
	2.0b	(fma.f64 (.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) (cbrt.f64 (.f64 (PI.f64) 1/2))) (cbrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))))
▶	1.6b	(acos.f64 -1)
▶	0.4b	(expm1.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))))
▶	0.4b	(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (neg.f64 (fma.f64 v v -1)))))

Compiler

Compiled 469 to 332 computations (29.2% saved)

localize35.0ms (0.2%)

Local error

Found 4 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	(/.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)))))
✓	0.4b	(acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))

Compiler

Compiled 68 to 40 computations (41.2% saved)

series92.0ms (0.6%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
37.0ms	v	@	0	(log1p.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))))
31.0ms	v	@	inf	(log1p.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))))
20.0ms	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	(/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))

rewrite127.0ms (0.9%)

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	68
1	219	68
2	2497	68

Stop Event

1×	node limit

Counts

4 → 225

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)))))
(/.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
((#(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 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (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 (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 (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (.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 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.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 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 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simplify59.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

669×	`cancel-sign-sub-inv_binary64`
541×	`fma-def_binary64`
406×	`associate-/l*_binary64`
398×	`associate-*l/_binary64`
311×	`distribute-rgt-out_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	41	848
1	115	793
2	328	791
3	1006	791
4	3361	791

Stop Event

1×	node limit

Counts

273 → 184

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

localize2.0ms (0%)

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

localize10.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.4b	(acos.f64 (fma.f64 v (*.f64 v 4) -1))

Compiler

Compiled 20 to 14 computations (30% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite53.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 20

Calls

Call 1

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

Outputs

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

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

32 → 22

Calls

Call 1

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

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

localize46.0ms (0.3%)

Local error

Found 3 expressions with local error:

New

Error

Program

✓

0.0b

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

✓

0.0b

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

✓

2.6b

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

Compiler

Compiled 64 to 38 computations (40.6% saved)

series4.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite297.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

543×	`log-prod_binary64`
430×	`prod-diff_binary64`
318×	`pow2_binary64`
251×	`fma-def_binary64`
219×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	55
1	269	49
2	3502	49

Stop Event

1×	node limit

Counts

3 → 274

Calls

Call 1

Inputs

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

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

(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (neg.f64 (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 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 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))) (fma.f64 (neg.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) (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 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))) (+.f64 (neg.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (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 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) (fma.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)))))))) (#(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 (cbrt.f64 (pow.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)))) (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) (neg.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (PI.f64) (*.f64 (neg.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (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) (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (PI.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 (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 (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 (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 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.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 (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 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.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 (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)))))) 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simplify91.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

750×	`distribute-rgt-out_binary64`
722×	`times-frac_binary64`
418×	`associate-/l/_binary64`
341×	`fma-def_binary64`
285×	`unswap-sqr_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	40	668
1	101	666
2	238	660
3	618	611
4	1988	611
5	6032	611
6	7751	611

Stop Event

1×	node limit

Counts

310 → 180

Calls

Call 1

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

Outputs
(acos.f64 (*.f64 -1 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))))
(acos.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))))
(acos.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 v v) -5 1)) (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)))
(acos.f64 (*.f64 -1 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))))
(acos.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))))
(acos.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 v v) -5 1)) (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)))
(acos.f64 (*.f64 -1 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))))
(acos.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))))
(acos.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 v v) -5 1)) (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)))
(acos.f64 (*.f64 -1 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))))
(acos.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))))
(acos.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 v v) -5 1)) (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)))
(acos.f64 (*.f64 -1 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))))
(acos.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))))
(acos.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 v v) -5 1)) (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)))
(acos.f64 (*.f64 -1 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))))
(acos.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))))
(acos.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 v v) -5 1)) (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)))
(acos.f64 (*.f64 -1 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))))
(acos.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))))
(acos.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 v v) -5 1)) (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)))
(acos.f64 (*.f64 -1 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))))
(acos.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))))
(acos.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 v v) -5 1)) (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)))
(acos.f64 (*.f64 -1 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))))
(acos.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))))
(acos.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 v v) -5 1)) (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)))
(acos.f64 (*.f64 -1 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))))
(acos.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))))
(acos.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 v v) -5 1)) (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)))
(acos.f64 (*.f64 -1 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))))
(acos.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))))
(acos.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 v v) -5 1)) (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)))
(acos.f64 (*.f64 -1 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))))
(acos.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))))
(acos.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 v v) -5 1)) (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)))
1
(+.f64 (*.f64 -4 (pow.f64 v 2)) 1)
(fma.f64 -4 (*.f64 v v) 1)
(fma.f64 (*.f64 v v) -4 1)
(fma.f64 v (*.f64 v -4) 1)
(+.f64 (.f64 -4 (pow.f64 v 2)) (+.f64 (.f64 -4 (pow.f64 v 4)) 1))
(fma.f64 -4 (*.f64 v v) (fma.f64 -4 (pow.f64 v 4) 1))
(fma.f64 (*.f64 v v) -4 (fma.f64 -4 (pow.f64 v 4) 1))
(fma.f64 -4 (fma.f64 v v (pow.f64 v 4)) 1)
(+.f64 (.f64 -4 (pow.f64 v 2)) (+.f64 (.f64 -4 (pow.f64 v 4)) (+.f64 1 (*.f64 -4 (pow.f64 v 6)))))
(fma.f64 -4 (.f64 v v) (fma.f64 -4 (pow.f64 v 4) (+.f64 1 (.f64 -4 (pow.f64 v 6)))))
(fma.f64 (*.f64 v v) -4 (fma.f64 -4 (pow.f64 v 4) (fma.f64 -4 (pow.f64 v 6) 1)))
(fma.f64 -4 (fma.f64 v v (pow.f64 v 4)) (fma.f64 -4 (pow.f64 v 6) 1))
(fma.f64 -4 (fma.f64 v (+.f64 v (pow.f64 v 3)) (pow.f64 v 6)) 1)
5
(+.f64 5 (*.f64 4 (/.f64 1 (pow.f64 v 2))))
(+.f64 5 (/.f64 4 (*.f64 v v)))
(+.f64 5 (+.f64 (.f64 4 (/.f64 1 (pow.f64 v 2))) (.f64 4 (/.f64 1 (pow.f64 v 4)))))
(+.f64 5 (+.f64 (/.f64 4 (*.f64 v v)) (/.f64 4 (pow.f64 v 4))))
(+.f64 (+.f64 5 (/.f64 4 (*.f64 v v))) (/.f64 4 (pow.f64 v 4)))
(+.f64 5 (+.f64 (.f64 4 (/.f64 1 (pow.f64 v 6))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 v 2))) (*.f64 4 (/.f64 1 (pow.f64 v 4))))))
(+.f64 5 (+.f64 (+.f64 (/.f64 4 (*.f64 v v)) (/.f64 4 (pow.f64 v 4))) (/.f64 4 (pow.f64 v 6))))
(+.f64 5 (+.f64 (/.f64 4 (*.f64 v v)) (+.f64 (/.f64 4 (pow.f64 v 4)) (/.f64 4 (pow.f64 v 6)))))
(+.f64 (/.f64 4 (pow.f64 v 4)) (+.f64 (/.f64 4 (*.f64 v v)) (+.f64 5 (/.f64 4 (pow.f64 v 6)))))
(+.f64 5 (+.f64 (/.f64 4 (pow.f64 v 4)) (+.f64 (/.f64 4 (*.f64 v v)) (/.f64 4 (pow.f64 v 6)))))
5
(+.f64 5 (*.f64 4 (/.f64 1 (pow.f64 v 2))))
(+.f64 5 (/.f64 4 (*.f64 v v)))
(+.f64 5 (+.f64 (.f64 4 (/.f64 1 (pow.f64 v 2))) (.f64 4 (/.f64 1 (pow.f64 v 4)))))
(+.f64 5 (+.f64 (/.f64 4 (*.f64 v v)) (/.f64 4 (pow.f64 v 4))))
(+.f64 (+.f64 5 (/.f64 4 (*.f64 v v))) (/.f64 4 (pow.f64 v 4)))
(+.f64 5 (+.f64 (.f64 4 (/.f64 1 (pow.f64 v 6))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 v 2))) (*.f64 4 (/.f64 1 (pow.f64 v 4))))))
(+.f64 5 (+.f64 (+.f64 (/.f64 4 (*.f64 v v)) (/.f64 4 (pow.f64 v 4))) (/.f64 4 (pow.f64 v 6))))
(+.f64 5 (+.f64 (/.f64 4 (*.f64 v v)) (+.f64 (/.f64 4 (pow.f64 v 4)) (/.f64 4 (pow.f64 v 6)))))
(+.f64 (/.f64 4 (pow.f64 v 4)) (+.f64 (/.f64 4 (*.f64 v v)) (+.f64 5 (/.f64 4 (pow.f64 v 6)))))
(+.f64 5 (+.f64 (/.f64 4 (pow.f64 v 4)) (+.f64 (/.f64 4 (*.f64 v v)) (/.f64 4 (pow.f64 v 6)))))
(-.f64 (PI.f64) (acos.f64 (*.f64 -1 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1)))))
(-.f64 (PI.f64) (acos.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 v v) -5 1)) (fma.f64 v v -1))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (+.f64 -1 (.f64 (.f64 v v) 5)) (fma.f64 v v -1))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 (*.f64 v v) 5 -1) (fma.f64 v v -1))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 v (*.f64 v 5) -1) (fma.f64 v v -1))))
(-.f64 (PI.f64) (acos.f64 (*.f64 -1 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1)))))
(-.f64 (PI.f64) (acos.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 v v) -5 1)) (fma.f64 v v -1))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (+.f64 -1 (.f64 (.f64 v v) 5)) (fma.f64 v v -1))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 (*.f64 v v) 5 -1) (fma.f64 v v -1))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 v (*.f64 v 5) -1) (fma.f64 v v -1))))
(-.f64 (PI.f64) (acos.f64 (*.f64 -1 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1)))))
(-.f64 (PI.f64) (acos.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 v v) -5 1)) (fma.f64 v v -1))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (+.f64 -1 (.f64 (.f64 v v) 5)) (fma.f64 v v -1))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 (*.f64 v v) 5 -1) (fma.f64 v v -1))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 v (*.f64 v 5) -1) (fma.f64 v v -1))))
(-.f64 (PI.f64) (acos.f64 (*.f64 -1 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1)))))
(-.f64 (PI.f64) (acos.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 v v) -5 1)) (fma.f64 v v -1))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (+.f64 -1 (.f64 (.f64 v v) 5)) (fma.f64 v v -1))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 (*.f64 v v) 5 -1) (fma.f64 v v -1))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 v (*.f64 v 5) -1) (fma.f64 v v -1))))
(-.f64 (PI.f64) (acos.f64 (*.f64 -1 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1)))))
(-.f64 (PI.f64) (acos.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 v v) -5 1)) (fma.f64 v v -1))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (+.f64 -1 (.f64 (.f64 v v) 5)) (fma.f64 v v -1))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 (*.f64 v v) 5 -1) (fma.f64 v v -1))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 v (*.f64 v 5) -1) (fma.f64 v v -1))))
(-.f64 (PI.f64) (acos.f64 (*.f64 -1 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1)))))
(-.f64 (PI.f64) (acos.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 v v) -5 1)) (fma.f64 v v -1))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (+.f64 -1 (.f64 (.f64 v v) 5)) (fma.f64 v v -1))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 (*.f64 v v) 5 -1) (fma.f64 v v -1))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 v (*.f64 v 5) -1) (fma.f64 v v -1))))
(-.f64 (PI.f64) (acos.f64 (*.f64 -1 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1)))))
(-.f64 (PI.f64) (acos.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 v v) -5 1)) (fma.f64 v v -1))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (+.f64 -1 (.f64 (.f64 v v) 5)) (fma.f64 v v -1))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 (*.f64 v v) 5 -1) (fma.f64 v v -1))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 v (*.f64 v 5) -1) (fma.f64 v v -1))))
(-.f64 (PI.f64) (acos.f64 (*.f64 -1 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1)))))
(-.f64 (PI.f64) (acos.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 v v) -5 1)) (fma.f64 v v -1))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (+.f64 -1 (.f64 (.f64 v v) 5)) (fma.f64 v v -1))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 (*.f64 v v) 5 -1) (fma.f64 v v -1))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 v (*.f64 v 5) -1) (fma.f64 v v -1))))
(-.f64 (PI.f64) (acos.f64 (*.f64 -1 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1)))))
(-.f64 (PI.f64) (acos.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 v v) -5 1)) (fma.f64 v v -1))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (+.f64 -1 (.f64 (.f64 v v) 5)) (fma.f64 v v -1))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 (*.f64 v v) 5 -1) (fma.f64 v v -1))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 v (*.f64 v 5) -1) (fma.f64 v v -1))))
(-.f64 (PI.f64) (acos.f64 (*.f64 -1 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1)))))
(-.f64 (PI.f64) (acos.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 v v) -5 1)) (fma.f64 v v -1))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (+.f64 -1 (.f64 (.f64 v v) 5)) (fma.f64 v v -1))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 (*.f64 v v) 5 -1) (fma.f64 v v -1))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 v (*.f64 v 5) -1) (fma.f64 v v -1))))
(-.f64 (PI.f64) (acos.f64 (*.f64 -1 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1)))))
(-.f64 (PI.f64) (acos.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 v v) -5 1)) (fma.f64 v v -1))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (+.f64 -1 (.f64 (.f64 v v) 5)) (fma.f64 v v -1))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 (*.f64 v v) 5 -1) (fma.f64 v v -1))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 v (*.f64 v 5) -1) (fma.f64 v v -1))))
(-.f64 (PI.f64) (acos.f64 (*.f64 -1 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1)))))
(-.f64 (PI.f64) (acos.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 v v) -5 1)) (fma.f64 v v -1))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (+.f64 -1 (.f64 (.f64 v v) 5)) (fma.f64 v v -1))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 (*.f64 v v) 5 -1) (fma.f64 v v -1))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 v (*.f64 v 5) -1) (fma.f64 v v -1))))

localize41.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))
	0.4b	(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)

series10.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

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

rewrite131.0ms (0.9%)

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

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

simplify111.0ms (0.8%)

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))))

eval535.0ms (3.7%)

Compiler: Compiled 17517 to 13031 computations (25.6% saved)

prune306.0ms (2.1%)

Pruning

21 alts after pruning (16 fresh and 5 done)

	Pruned	Kept	Total
New	611	16	627
Fresh	2	0	2
Picked	0	1	1
Done	1	4	5
Total	614	21	635

Error

0.4b

Counts

635 → 21

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.4b	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))
▶	4.2b	(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)))))))
✓	0.9b	(acos.f64 (fma.f64 v (*.f64 v 4) -1))
	2.0b	(pow.f64 (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))))))) 3)
	0.9b	(-.f64 (PI.f64) (acos.f64 (fma.f64 v (*.f64 v -4) 1)))
	1.4b	(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))
✓	1.6b	(acos.f64 -1)
	1.4b	(pow.f64 (pow.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2/3) 3)
	2.4b	(.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 v (.f64 v 4) -1))) 2) (cbrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1))))
	2.0b	(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)
✓	0.4b	(expm1.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))))
	1.4b	(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)
	2.0b	(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)
	0.9b	(-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 v (.f64 v 4) -1)))
▶	0.4b	(expm1.f64 (pow.f64 (sqrt.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) 2))
▶	2.5b	(pow.f64 (cbrt.f64 (acos.f64 -1)) 3)
▶	1.8b	(pow.f64 (sqrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1))) 2)
	1.8b	(pow.f64 (cbrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1))) 3)
	0.5b	(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)))
▶	3.1b	(expm1.f64 (pow.f64 (cbrt.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) 3))
✓	1.4b	(pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))) 3)

Compiler

Compiled 683 to 540 computations (20.9% saved)

localize80.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))
✓	0.0b	(expm1.f64 (pow.f64 (sqrt.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) 2))
✓	0.0b	(pow.f64 (sqrt.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) 2)
✓	0.4b	(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))

Compiler

Compiled 102 to 72 computations (29.4% saved)

series135.0ms (0.9%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
86.0ms	v	@	0	(pow.f64 (sqrt.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) 2)
24.0ms	v	@	inf	(pow.f64 (sqrt.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) 2)
20.0ms	v	@	-inf	(pow.f64 (sqrt.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) 2)
0.0ms	v	@	0	(expm1.f64 (pow.f64 (sqrt.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) 2))
0.0ms	v	@	0	(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))

rewrite153.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	68
1	301	68
2	2969	68

Stop Event

1×	node limit

Counts

4 → 180

Calls

Call 1

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

simplify64.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

669×	`cancel-sign-sub-inv_binary64`
550×	`fma-def_binary64`
404×	`associate-/l*_binary64`
399×	`associate-*l/_binary64`
313×	`distribute-rgt-out_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	42	812
1	118	793
2	329	791
3	1010	791
4	3370	791

Stop Event

1×	node limit

Counts

228 → 144

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

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

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	1.0b	(cbrt.f64 (acos.f64 -1))
✓	1.6b	(pow.f64 (cbrt.f64 (acos.f64 -1)) 3)

Compiler

Compiled 13 to 13 computations (0% saved)

series0.0ms (0%)

Counts: 2 → 0

rewrite62.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

433×	`pow1_binary64`
431×	`add-sqr-sqrt_binary64`
414×	`*-un-lft-identity_binary64`
412×	`add-log-exp_binary64`
412×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	126	8
2	1135	8

Stop Event

1×	node limit

Counts

2 → 55

Calls

Call 1

Inputs
(pow.f64 (cbrt.f64 (acos.f64 -1)) 3)
(cbrt.f64 (acos.f64 -1))

Outputs

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

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

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

55 → 55

Calls

Call 1

Inputs

Outputs

localize20.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.4b	(acos.f64 (fma.f64 v (*.f64 v 4) -1))
✓	1.0b	(sqrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))
✓	1.0b	(pow.f64 (sqrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1))) 2)

Compiler

Compiled 39 to 29 computations (25.6% saved)

series4.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	v	@	-inf	(pow.f64 (sqrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1))) 2)
1.0ms	v	@	0	(pow.f64 (sqrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1))) 2)
1.0ms	v	@	inf	(pow.f64 (sqrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1))) 2)
0.0ms	v	@	inf	(sqrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))
0.0ms	v	@	0	(sqrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))

rewrite64.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

760×	`pow1_binary64`
703×	`add-log-exp_binary64`
703×	`log1p-expm1-u_binary64`
703×	`expm1-log1p-u_binary64`
688×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	22
1	202	22
2	1935	22

Stop Event

1×	node limit

Counts

2 → 41

Calls

Call 1

Inputs
(pow.f64 (sqrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1))) 2)
(sqrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))

Outputs

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

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

simplify14.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

65 → 44

Calls

Call 1

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

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

localize55.0ms (0.4%)

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))
	0.4b	(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)

series14.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
5.0ms	v	@	inf	(pow.f64 (cbrt.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) 3)
3.0ms	v	@	0	(pow.f64 (cbrt.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) 3)
3.0ms	v	@	-inf	(pow.f64 (cbrt.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) 3)
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))
1.0ms	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))

rewrite97.0ms (0.7%)

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

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(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 (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 (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 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(#(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))))) 1/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.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 +.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 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (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 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simplify68.0ms (0.5%)

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)))

localize101.0ms (0.7%)

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)))))) 2)
	0.4b	(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)))))
✓	1.5b	(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)

Compiler

Compiled 190 to 140 computations (26.3% saved)

series186.0ms (1.3%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
121.0ms	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)))))) 2) 3)
37.0ms	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)))))) 2) 3)
26.0ms	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)))))) 2) 3)
2.0ms	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)))))) 2)
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)))))) 2)

rewrite78.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

639×	`log-prod_binary64`
374×	`pow2_binary64`
259×	`pow1/3_binary64`
258×	`log1p-udef_binary64`
257×	`expm1-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	52
1	346	50
2	3720	49

Stop Event

1×	node limit

Counts

2 → 47

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)))))) 2) 3)

(pow.f64 (cbrt.f64 (cbrt.f64 (log1p.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 (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 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.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 (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 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.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 (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 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (log1p.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 (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 (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))))))))) (#(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)))))) (*.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) 8)))))) (#(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 (pow.f64 (log1p.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 (log1p.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 (pow.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 1/18) 8) (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 (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) 8)) (*.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)) (pow.f64 (pow.f64 (log1p.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 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 1/6) (*.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 1/6) (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 (sqrt.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) (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 (pow.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 1/18) 8) 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 (*.f64 (pow.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 1/18) 8) (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 (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 (*.f64 (pow.f64 (pow.f64 (log1p.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 (log1p.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 (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 (*.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)) (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 (cbrt.f64 (log1p.f64 (acos.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 (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 (expm1.f64 (pow.f64 (cbrt.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 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 expm1.f64 (log1p.f64 (pow.f64 (cbrt.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 log1p.f64 (expm1.f64 (pow.f64 (cbrt.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 2/3 (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 (*.f64 1/9 (log.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))) 6))))) (#(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)))))) 1))))))

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

simplify109.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

849×	`fma-neg_binary64`
499×	`associate-l_binary64`
420×	`unsub-neg_binary64`
340×	`associate-r_binary64`
323×	`fma-def_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	22	948
1	48	912
2	77	912
3	121	912
4	219	624
5	549	624
6	1840	624
7	2307	624
8	2974	624
9	5129	624
10	7469	624

Stop Event

1×	node limit

Counts

71 → 50

Calls

Call 1

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

Outputs
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 (log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))) 2) 1/3))
(.f64 1 (cbrt.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 2)))
(cbrt.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 (log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))) 2) 1/3))
(.f64 1 (cbrt.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 2)))
(cbrt.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 (log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))) 2) 1/3))
(.f64 1 (cbrt.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 2)))
(cbrt.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 (log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))) 2) 1/3))
(.f64 1 (cbrt.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 2)))
(cbrt.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 (log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))) 2) 1/3))
(.f64 1 (cbrt.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 2)))
(cbrt.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 (log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))) 2) 1/3))
(.f64 1 (cbrt.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 2)))
(cbrt.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 (log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))) 2) 1/3))
(.f64 1 (cbrt.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 2)))
(cbrt.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 (log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))) 2) 1/3))
(.f64 1 (cbrt.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 2)))
(cbrt.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 (log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))) 2) 1/3))
(.f64 1 (cbrt.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 2)))
(cbrt.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 (log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))) 2) 1/3))
(.f64 1 (cbrt.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 2)))
(cbrt.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 (log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))) 2) 1/3))
(.f64 1 (cbrt.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 2)))
(cbrt.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 (log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))) 2) 1/3))
(.f64 1 (cbrt.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 2)))
(cbrt.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2))
(pow.f64 (pow.f64 (log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))) 2) 1/9)
(.f64 (pow.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 2) 1/18) (pow.f64 (pow.f64 (log1p.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 (log1p.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 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2) 1/144) 16)
(pow.f64 (pow.f64 (log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))) 2) 1/9)
(.f64 (pow.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 2) 1/18) (pow.f64 (pow.f64 (log1p.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 (log1p.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 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2) 1/144) 16)
(pow.f64 (pow.f64 (log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))) 2) 1/9)
(.f64 (pow.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 2) 1/18) (pow.f64 (pow.f64 (log1p.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 (log1p.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 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2) 1/144) 16)
(pow.f64 (pow.f64 (log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))) 2) 1/9)
(.f64 (pow.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 2) 1/18) (pow.f64 (pow.f64 (log1p.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 (log1p.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 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2) 1/144) 16)
(pow.f64 (pow.f64 (log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))) 2) 1/9)
(.f64 (pow.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 2) 1/18) (pow.f64 (pow.f64 (log1p.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 (log1p.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 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2) 1/144) 16)
(pow.f64 (pow.f64 (log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))) 2) 1/9)
(.f64 (pow.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 2) 1/18) (pow.f64 (pow.f64 (log1p.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 (log1p.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 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2) 1/144) 16)
(pow.f64 (pow.f64 (log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))) 2) 1/9)
(.f64 (pow.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 2) 1/18) (pow.f64 (pow.f64 (log1p.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 (log1p.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 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2) 1/144) 16)
(pow.f64 (pow.f64 (log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))) 2) 1/9)
(.f64 (pow.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 2) 1/18) (pow.f64 (pow.f64 (log1p.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 (log1p.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 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2) 1/144) 16)
(pow.f64 (pow.f64 (log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))) 2) 1/9)
(.f64 (pow.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 2) 1/18) (pow.f64 (pow.f64 (log1p.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 (log1p.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 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2) 1/144) 16)
(pow.f64 (pow.f64 (log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))) 2) 1/9)
(.f64 (pow.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 2) 1/18) (pow.f64 (pow.f64 (log1p.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 (log1p.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 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2) 1/144) 16)
(pow.f64 (pow.f64 (log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))) 2) 1/9)
(.f64 (pow.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 2) 1/18) (pow.f64 (pow.f64 (log1p.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 (log1p.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 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2) 1/144) 16)
(pow.f64 (pow.f64 (log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))) 2) 1/9)
(.f64 (pow.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 2) 1/18) (pow.f64 (pow.f64 (log1p.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 (log1p.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 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2) 1/144) 16)

eval1.0s (7%)

Compiler: Compiled 22195 to 17384 computations (21.7% saved)

prune141.0ms (1%)

Pruning

34 alts after pruning (25 fresh and 9 done)

	Pruned	Kept	Total
New	661	18	679
Fresh	4	7	11
Picked	1	0	1
Done	0	9	9
Total	666	34	700

Error

0.4b

Counts

700 → 34

Alt Table

Click to see full alt table

Status	Error	Program
	1.8b	(pow.f64 (cbrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1))) 3)
	3.5b	(expm1.f64 (.f64 (pow.f64 (cbrt.f64 (pow.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)))))))
	4.2b	(expm1.f64 (.f64 (pow.f64 (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.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))) 2)) (log.f64 (cbrt.f64 (exp.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))))) 3) (cbrt.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))))
	61.9b	(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 (/.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)))))))))
	0.5b	(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)))
✓	0.4b	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))
✓	0.9b	(acos.f64 (fma.f64 v (*.f64 v 4) -1))
	0.9b	(expm1.f64 (pow.f64 (sqrt.f64 (log1p.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))) 2))
▶	2.8b	(pow.f64 (expm1.f64 (log1p.f64 (sqrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1))))) 2)
	4.9b	(expm1.f64 (.f64 (pow.f64 (sqrt.f64 (pow.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 1/18) 8)) 3) (cbrt.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))
	2.8b	(pow.f64 (cbrt.f64 (pow.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 3/2)) 2)
	3.1b	(*.f64 (pow.f64 (cbrt.f64 (acos.f64 -1)) 2) (cbrt.f64 (acos.f64 -1)))
▶	0.9b	(-.f64 (PI.f64) (acos.f64 (fma.f64 v (*.f64 v -4) 1)))
▶	0.4b	(expm1.f64 (pow.f64 (sqrt.f64 (log1p.f64 (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))))))) 2))
	3.1b	(expm1.f64 (pow.f64 (+.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))))))))) 3))
✓	1.6b	(acos.f64 -1)
	1.4b	(exp.f64 (.f64 (log.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) 3))
▶	2.0b	(expm1.f64 (pow.f64 (pow.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 1/6) 2) 3))
	4.6b	(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))
✓	0.4b	(expm1.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))))
	4.9b	(expm1.f64 (.f64 (pow.f64 (.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) 8)) (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))) 3) (cbrt.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))
	3.5b	(pow.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))) 3) 2)
	2.0b	(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)
	1.4b	(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)
	2.0b	(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)
	0.9b	(-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 v (.f64 v 4) -1)))
✓	0.4b	(expm1.f64 (pow.f64 (sqrt.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) 2))
✓	2.5b	(pow.f64 (cbrt.f64 (acos.f64 -1)) 3)
✓	3.1b	(expm1.f64 (pow.f64 (cbrt.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) 3))
	4.2b	(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))
▶	3.7b	(expm1.f64 (.f64 (pow.f64 (pow.f64 (pow.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 2) 1/144) 16) 3) (cbrt.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))
✓	1.8b	(pow.f64 (sqrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1))) 2)
	1.8b	(pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1))) 3)) 2)
✓	1.4b	(pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))) 3)

Compiler

Compiled 1398 to 1121 computations (19.8% saved)

localize103.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f64 (sqrt.f64 (log1p.f64 (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))))))) 2)
✓	0.5b	(asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
✓	1.0b	(pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2)
✓	1.0b	(cbrt.f64 (*.f64 (PI.f64) 1/2))

Compiler

Compiled 202 to 151 computations (25.2% saved)

series89.0ms (0.6%)

Counts

4 → 24

Calls

6 calls:

Time	Variable		Point	Expression
39.0ms	v	@	0	(pow.f64 (sqrt.f64 (log1p.f64 (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))))))) 2)
25.0ms	v	@	inf	(pow.f64 (sqrt.f64 (log1p.f64 (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))))))) 2)
24.0ms	v	@	-inf	(pow.f64 (sqrt.f64 (log1p.f64 (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))))))) 2)
0.0ms	v	@	0	(asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
0.0ms	v	@	inf	(asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))

rewrite98.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

770×	`log-prod_binary64`
615×	`prod-diff_binary64`
300×	`log1p-udef_binary64`
299×	`expm1-udef_binary64`
254×	`log-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	62
1	422	53
2	4519	53

Stop Event

1×	node limit

Counts

4 → 137

Calls

Call 1

Inputs
(cbrt.f64 (*.f64 (PI.f64) 1/2))
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2)
(asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(pow.f64 (sqrt.f64 (log1p.f64 (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))))))) 2)

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

simplify99.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

704×	`unsub-neg_binary64`
456×	`sub-neg_binary64`
448×	`fma-def_binary64`
433×	`associate-/l/_binary64`
404×	`distribute-neg-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	552
1	43	516
2	78	516
3	122	516
4	184	516
5	289	516
6	479	516
7	822	516
8	1370	516
9	3304	516
10	4522	516
11	6753	516

Stop Event

1×	node limit

Counts

161 → 141

Calls

Call 1

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

Outputs
(asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 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 v (*.f64 -5 v) 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 v (*.f64 -5 v) 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 v (*.f64 -5 v) 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 v (*.f64 -5 v) 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 v (*.f64 -5 v) 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 v (*.f64 -5 v) 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 v (*.f64 -5 v) 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 v (*.f64 -5 v) 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 v (*.f64 -5 v) 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 v (*.f64 -5 v) 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 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(log.f64 (-.f64 (+.f64 1 (.f64 1/2 (.f64 (pow.f64 1 1/3) (PI.f64)))) (asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))))
(log.f64 (+.f64 1 (-.f64 (.f64 1/2 (PI.f64)) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))))
(log1p.f64 (-.f64 (.f64 1/2 (PI.f64)) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))
(log.f64 (-.f64 (+.f64 1 (.f64 1/2 (.f64 (pow.f64 1 1/3) (PI.f64)))) (asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))))
(log.f64 (+.f64 1 (-.f64 (.f64 1/2 (PI.f64)) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))))
(log1p.f64 (-.f64 (.f64 1/2 (PI.f64)) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))
(log.f64 (-.f64 (+.f64 1 (.f64 1/2 (.f64 (pow.f64 1 1/3) (PI.f64)))) (asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))))
(log.f64 (+.f64 1 (-.f64 (.f64 1/2 (PI.f64)) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))))
(log1p.f64 (-.f64 (.f64 1/2 (PI.f64)) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))
(log.f64 (-.f64 (+.f64 1 (.f64 1/2 (.f64 (pow.f64 1 1/3) (PI.f64)))) (asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))))
(log.f64 (+.f64 1 (-.f64 (.f64 1/2 (PI.f64)) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))))
(log1p.f64 (-.f64 (.f64 1/2 (PI.f64)) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))
(log.f64 (-.f64 (+.f64 1 (.f64 1/2 (.f64 (pow.f64 1 1/3) (PI.f64)))) (asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))))
(log.f64 (+.f64 1 (-.f64 (.f64 1/2 (PI.f64)) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))))
(log1p.f64 (-.f64 (.f64 1/2 (PI.f64)) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))
(log.f64 (-.f64 (+.f64 1 (.f64 1/2 (.f64 (pow.f64 1 1/3) (PI.f64)))) (asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))))
(log.f64 (+.f64 1 (-.f64 (.f64 1/2 (PI.f64)) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))))
(log1p.f64 (-.f64 (.f64 1/2 (PI.f64)) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))
(log.f64 (-.f64 (+.f64 1 (.f64 1/2 (.f64 (pow.f64 1 1/3) (PI.f64)))) (asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))))
(log.f64 (+.f64 1 (-.f64 (.f64 1/2 (PI.f64)) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))))
(log1p.f64 (-.f64 (.f64 1/2 (PI.f64)) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))
(log.f64 (-.f64 (+.f64 1 (.f64 1/2 (.f64 (pow.f64 1 1/3) (PI.f64)))) (asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))))
(log.f64 (+.f64 1 (-.f64 (.f64 1/2 (PI.f64)) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))))
(log1p.f64 (-.f64 (.f64 1/2 (PI.f64)) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))
(log.f64 (-.f64 (+.f64 1 (.f64 1/2 (.f64 (pow.f64 1 1/3) (PI.f64)))) (asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))))
(log.f64 (+.f64 1 (-.f64 (.f64 1/2 (PI.f64)) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))))
(log1p.f64 (-.f64 (.f64 1/2 (PI.f64)) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))
(log.f64 (-.f64 (+.f64 1 (.f64 1/2 (.f64 (pow.f64 1 1/3) (PI.f64)))) (asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))))
(log.f64 (+.f64 1 (-.f64 (.f64 1/2 (PI.f64)) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))))
(log1p.f64 (-.f64 (.f64 1/2 (PI.f64)) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))
(log.f64 (-.f64 (+.f64 1 (.f64 1/2 (.f64 (pow.f64 1 1/3) (PI.f64)))) (asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))))
(log.f64 (+.f64 1 (-.f64 (.f64 1/2 (PI.f64)) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))))
(log1p.f64 (-.f64 (.f64 1/2 (PI.f64)) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))
(log.f64 (-.f64 (+.f64 1 (.f64 1/2 (.f64 (pow.f64 1 1/3) (PI.f64)))) (asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))))
(log.f64 (+.f64 1 (-.f64 (.f64 1/2 (PI.f64)) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))))
(log1p.f64 (-.f64 (.f64 1/2 (PI.f64)) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))

localize15.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (PI.f64) (acos.f64 (fma.f64 v (*.f64 v -4) 1)))
✓	2.3b	(acos.f64 (fma.f64 v (*.f64 v -4) 1))

Compiler

Compiled 30 to 21 computations (30% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite64.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

963×	`pow1_binary64`
896×	`add-log-exp_binary64`
895×	`log1p-expm1-u_binary64`
895×	`expm1-log1p-u_binary64`
97×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	24
1	188	24
2	2357	24

Stop Event

1×	node limit

Counts

2 → 58

Calls

Call 1

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

Outputs

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

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

simplify29.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

42×	`fma-def_binary64`
32×	`fma-neg_binary64`
15×	`cancel-sign-sub-inv_binary64`
12×	`sub-neg_binary64`
10×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	288
1	16	288
2	24	288
3	34	288
4	44	288
5	61	288
6	98	288
7	135	288
8	180	288
9	216	288
10	242	288
11	244	288

Stop Event

1×

saturated

Counts

82 → 62

Calls

Call 1

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

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

localize36.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.4b	(acos.f64 (fma.f64 v (*.f64 v 4) -1))
	1.0b	(sqrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))
✓	1.0b	(pow.f64 (expm1.f64 (log1p.f64 (sqrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1))))) 2)
✓	1.0b	(expm1.f64 (log1p.f64 (sqrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))))

Compiler

Compiled 60 to 46 computations (23.3% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	v	@	0	(expm1.f64 (log1p.f64 (sqrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))))
0.0ms	v	@	inf	(expm1.f64 (log1p.f64 (sqrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))))
0.0ms	v	@	-inf	(expm1.f64 (log1p.f64 (sqrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))))
0.0ms	v	@	inf	(pow.f64 (expm1.f64 (log1p.f64 (sqrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1))))) 2)
0.0ms	v	@	0	(pow.f64 (expm1.f64 (log1p.f64 (sqrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1))))) 2)

rewrite69.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

841×	`pow1_binary64`
777×	`add-log-exp_binary64`
777×	`expm1-log1p-u_binary64`
776×	`log1p-expm1-u_binary64`
760×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	22
1	222	22
2	2143	22

Stop Event

1×	node limit

Counts

2 → 44

Calls

Call 1

Inputs
(expm1.f64 (log1p.f64 (sqrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))))
(pow.f64 (expm1.f64 (log1p.f64 (sqrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1))))) 2)

Outputs

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

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

simplify14.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

68 → 46

Calls

Call 1

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

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

localize68.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(expm1.f64 (pow.f64 (pow.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 1/6) 2) 3))
✓	0.0b	(pow.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 1/6) 2)
	0.4b	(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
✓	1.0b	(pow.f64 (pow.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 1/6) 2) 3)

Compiler

Compiled 128 to 94 computations (26.6% saved)

series35.0ms (0.2%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
13.0ms	v	@	inf	(pow.f64 (pow.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 1/6) 2) 3)
10.0ms	v	@	-inf	(pow.f64 (pow.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 1/6) 2) 3)
10.0ms	v	@	0	(pow.f64 (pow.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 1/6) 2) 3)
0.0ms	v	@	0	(expm1.f64 (pow.f64 (pow.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 1/6) 2) 3))
0.0ms	v	@	inf	(expm1.f64 (pow.f64 (pow.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 1/6) 2) 3))

rewrite85.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

621×	`log-prod_binary64`
375×	`pow2_binary64`
257×	`log1p-udef_binary64`
256×	`pow1/3_binary64`
256×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	77
1	378	57
2	4146	57

Stop Event

1×	node limit

Counts

3 → 95

Calls

Call 1

Inputs

(pow.f64 (pow.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 1/6) 2) 3)

(pow.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 1/6) 2)

(expm1.f64 (pow.f64 (pow.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 1/6) 2) 3))

Outputs

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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 (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 (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 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))) (*.f64 (cbrt.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 (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)))) 1/12) (*.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 1/12) (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 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 1/12) 3) (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 1/12))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (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 (*.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 1/6) (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)))) 1/6)))))) (#(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 +.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 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (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 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(#(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 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 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 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 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 3) 1) (+.f64 (pow.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2) (+.f64 1 (*.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (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 /.f64 (-.f64 (pow.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2) 1) (+.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1)))) (#(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 (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 (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 (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 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 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 fma.f64 1 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 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 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)))) (#(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 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) (sqrt.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (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)))))))))

simplify66.0ms (0.5%)

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

131 → 98

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)))

localize118.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.4b	(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)))))
✓	1.1b	(pow.f64 (pow.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2) 1/144) 16)
✓	1.5b	(pow.f64 (pow.f64 (pow.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2) 1/144) 16) 3)

Compiler

Compiled 217 to 163 computations (24.9% saved)

series90.0ms (0.6%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
35.0ms	v	@	inf	(pow.f64 (pow.f64 (pow.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2) 1/144) 16) 3)
32.0ms	v	@	-inf	(pow.f64 (pow.f64 (pow.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2) 1/144) 16) 3)
21.0ms	v	@	0	(pow.f64 (pow.f64 (pow.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2) 1/144) 16) 3)
0.0ms	v	@	0	(pow.f64 (pow.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2) 1/144) 16)
0.0ms	v	@	inf	(pow.f64 (pow.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2) 1/144) 16)

rewrite83.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

712×	`log-prod_binary64`
435×	`pow2_binary64`
297×	`log1p-udef_binary64`
296×	`expm1-udef_binary64`
295×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	50
1	409	49
2	4406	49

Stop Event

1×	node limit

Counts

2 → 47

Calls

Call 1

Inputs

(pow.f64 (pow.f64 (pow.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2) 1/144) 16) 3)

(pow.f64 (pow.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2) 1/144) 16)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (cbrt.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 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.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 (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 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.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 (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 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (log1p.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 (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 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 1/72) 16) (pow.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 1/72) 32))))) (#(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))))) 2) 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)))) 1/72) 32) (pow.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 1/72) 16))))) (#(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)))) 1/72) 32)) (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 1/72) 16)) (pow.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 1/72) 32)))))) (#(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)))))) (*.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)))) 1/72) 32)))))) (#(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 (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 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 1/36)) 48) (pow.f64 (cbrt.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 1/72)) 48))))) (#(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)))) 1/144) 48) (pow.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 1/144) 48))))) (#(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)))) 1/72) 32) 1) (pow.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 1/72) 16))))) (#(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)))) 1/72) 32) (cbrt.f64 (pow.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 1/72) 32))) (cbrt.f64 (pow.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 1/72) 16)))))) (#(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)))) 1/72) 32) (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 (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)))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.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 (expm1.f64 (pow.f64 (cbrt.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 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 expm1.f64 (log1p.f64 (pow.f64 (cbrt.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 log1p.f64 (expm1.f64 (pow.f64 (cbrt.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 2/3 (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 (*.f64 1/72 (log.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))) 48))))) (#(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)))))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 1/72) 16))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 1/72) 16))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 1/72) 16)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 1/72) 16)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 1/72) 16)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 1/72) 16))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 1/72) 16))))) (#(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)))) 1/72) 16) 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)))) 1/72) 16)) (cbrt.f64 (pow.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 1/72) 32)))))) (#(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)))) 1/72) 32)) (cbrt.f64 (pow.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 1/72) 16)))))) (#(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 (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 1 1/9) (pow.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 1/72) 16))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 4)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) 2) 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 1/36)) 16) (pow.f64 (cbrt.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 1/72)) 16))))) (#(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)))) 1/144) 16) (pow.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 1/144) 16))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 1/72) 32))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 1/72) 16)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 1/72) 16))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cbrt.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 expm1.f64 (log1p.f64 (pow.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 1/72) 16)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 1/72) 16)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2/9 (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 (*.f64 2 (log.f64 (log1p.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 2/9 (log.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))) 1))))))

simplify107.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

849×	`fma-neg_binary64`
499×	`associate-l_binary64`
420×	`unsub-neg_binary64`
340×	`associate-r_binary64`
323×	`fma-def_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	22	948
1	48	912
2	77	912
3	121	912
4	219	624
5	549	624
6	1840	624
7	2307	624
8	2974	624
9	5129	624
10	7469	624

Stop Event

1×	node limit

Counts

71 → 50

Calls

Call 1

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

Outputs
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 (log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))) 2) 1/3))
(.f64 1 (cbrt.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 2)))
(cbrt.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 (log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))) 2) 1/3))
(.f64 1 (cbrt.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 2)))
(cbrt.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 (log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))) 2) 1/3))
(.f64 1 (cbrt.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 2)))
(cbrt.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 (log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))) 2) 1/3))
(.f64 1 (cbrt.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 2)))
(cbrt.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 (log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))) 2) 1/3))
(.f64 1 (cbrt.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 2)))
(cbrt.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 (log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))) 2) 1/3))
(.f64 1 (cbrt.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 2)))
(cbrt.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 (log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))) 2) 1/3))
(.f64 1 (cbrt.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 2)))
(cbrt.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 (log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))) 2) 1/3))
(.f64 1 (cbrt.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 2)))
(cbrt.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 (log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))) 2) 1/3))
(.f64 1 (cbrt.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 2)))
(cbrt.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 (log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))) 2) 1/3))
(.f64 1 (cbrt.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 2)))
(cbrt.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 (log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))) 2) 1/3))
(.f64 1 (cbrt.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 2)))
(cbrt.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 (log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))) 2) 1/3))
(.f64 1 (cbrt.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 2)))
(cbrt.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2))
(pow.f64 (pow.f64 (log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))) 2) 1/9)
(.f64 (pow.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 2) 1/18) (pow.f64 (pow.f64 (log1p.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 (log1p.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 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2) 1/144) 16)
(pow.f64 (pow.f64 (log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))) 2) 1/9)
(.f64 (pow.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 2) 1/18) (pow.f64 (pow.f64 (log1p.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 (log1p.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 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2) 1/144) 16)
(pow.f64 (pow.f64 (log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))) 2) 1/9)
(.f64 (pow.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 2) 1/18) (pow.f64 (pow.f64 (log1p.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 (log1p.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 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2) 1/144) 16)
(pow.f64 (pow.f64 (log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))) 2) 1/9)
(.f64 (pow.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 2) 1/18) (pow.f64 (pow.f64 (log1p.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 (log1p.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 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2) 1/144) 16)
(pow.f64 (pow.f64 (log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))) 2) 1/9)
(.f64 (pow.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 2) 1/18) (pow.f64 (pow.f64 (log1p.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 (log1p.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 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2) 1/144) 16)
(pow.f64 (pow.f64 (log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))) 2) 1/9)
(.f64 (pow.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 2) 1/18) (pow.f64 (pow.f64 (log1p.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 (log1p.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 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2) 1/144) 16)
(pow.f64 (pow.f64 (log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))) 2) 1/9)
(.f64 (pow.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 2) 1/18) (pow.f64 (pow.f64 (log1p.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 (log1p.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 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2) 1/144) 16)
(pow.f64 (pow.f64 (log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))) 2) 1/9)
(.f64 (pow.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 2) 1/18) (pow.f64 (pow.f64 (log1p.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 (log1p.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 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2) 1/144) 16)
(pow.f64 (pow.f64 (log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))) 2) 1/9)
(.f64 (pow.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 2) 1/18) (pow.f64 (pow.f64 (log1p.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 (log1p.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 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2) 1/144) 16)
(pow.f64 (pow.f64 (log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))) 2) 1/9)
(.f64 (pow.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 2) 1/18) (pow.f64 (pow.f64 (log1p.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 (log1p.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 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2) 1/144) 16)
(pow.f64 (pow.f64 (log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))) 2) 1/9)
(.f64 (pow.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 2) 1/18) (pow.f64 (pow.f64 (log1p.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 (log1p.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 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2) 1/144) 16)
(pow.f64 (pow.f64 (log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))))) 2) 1/9)
(.f64 (pow.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 2) 1/18) (pow.f64 (pow.f64 (log1p.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 (log1p.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 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2) 1/144) 16)

eval607.0ms (4.2%)

Compiler: Compiled 23560 to 18460 computations (21.6% saved)

prune111.0ms (0.8%)

Pruning

36 alts after pruning (23 fresh and 13 done)

	Pruned	Kept	Total
New	661	11	672
Fresh	8	12	20
Picked	1	0	1
Done	0	13	13
Total	670	36	706

Error

0.4b

Counts

706 → 36

Alt Table

Click to see full alt table

Status	Error	Program
	4.2b	(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))
	1.8b	(pow.f64 (cbrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1))) 3)
	4.6b	(expm1.f64 (.f64 (pow.f64 (.f64 (pow.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 1/144) 16) (pow.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 1/144) 16)) 3) (cbrt.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))
	0.9b	(exp.f64 (log.f64 (-.f64 (PI.f64) (acos.f64 (fma.f64 v (*.f64 v -4) 1)))))
	61.9b	(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 (/.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)))))))))
	0.9b	(-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 v (.f64 v 4) -1)))
✓	0.4b	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))
✓	0.9b	(acos.f64 (fma.f64 v (*.f64 v 4) -1))
	0.9b	(expm1.f64 (pow.f64 (sqrt.f64 (log1p.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))) 2))
✓	2.8b	(pow.f64 (expm1.f64 (log1p.f64 (sqrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1))))) 2)
	3.1b	(*.f64 (pow.f64 (cbrt.f64 (acos.f64 -1)) 2) (cbrt.f64 (acos.f64 -1)))
	4.9b	(expm1.f64 (.f64 (pow.f64 (sqrt.f64 (pow.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 1/18) 8)) 3) (cbrt.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))
✓	0.9b	(-.f64 (PI.f64) (acos.f64 (fma.f64 v (*.f64 v -4) 1)))
✓	0.4b	(expm1.f64 (pow.f64 (sqrt.f64 (log1p.f64 (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))))))) 2))
	3.9b	(expm1.f64 (.f64 (pow.f64 (pow.f64 (pow.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 2) 1/144) 16) 3) (pow.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 1/6) 2)))
✓	1.6b	(acos.f64 -1)
	1.4b	(exp.f64 (.f64 (log.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) 3))
✓	2.0b	(expm1.f64 (pow.f64 (pow.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 1/6) 2) 3))
	4.6b	(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))
✓	0.4b	(expm1.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))))
	2.0b	(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 (.f64 (pow.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 1/12) 3) (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 1/12)) 3))
	3.9b	(pow.f64 (expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))) 3))) 2)
	3.5b	(pow.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))) 3) 2)
	1.8b	(pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1))) 3)) 2)
	4.5b	(expm1.f64 (.f64 (.f64 (pow.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 1/144) 48) (pow.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 1/144) 48)) (cbrt.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))
	1.4b	(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)
	2.0b	(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)
✓	0.4b	(expm1.f64 (pow.f64 (sqrt.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) 2))
✓	2.5b	(pow.f64 (cbrt.f64 (acos.f64 -1)) 3)
✓	3.1b	(expm1.f64 (pow.f64 (cbrt.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) 3))
	3.9b	(expm1.f64 (.f64 (pow.f64 (pow.f64 (pow.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 2) 1/144) 16) 3) (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 1/3)))
	3.7b	(expm1.f64 (.f64 (pow.f64 (+.f64 0 (pow.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 1/72) 16)) 3) (cbrt.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))
	2.4b	(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (PI.f64)) (neg.f64 (acos.f64 (fma.f64 v (*.f64 v -4) 1))))
✓	1.8b	(pow.f64 (sqrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1))) 2)
✓	1.4b	(pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))) 3)

Compiler

Compiled 778 to 621 computations (20.2% saved)

regimes116.0ms (0.8%)

Counts

53 → 1

Calls

Call 1

Inputs
(acos.f64 -1)
(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))
(acos.f64 (fma.f64 v (*.f64 v 4) -1))
(pow.f64 (cbrt.f64 (acos.f64 -1)) 3)
(-.f64 (PI.f64) (acos.f64 (fma.f64 v (*.f64 v -4) 1)))
(-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 v (.f64 v 4) -1)))
(-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 v (.f64 v 4) -1)))
(pow.f64 (sqrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1))) 2)
(pow.f64 (cbrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1))) 3)
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (neg.f64 (fma.f64 v v -1)))))
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 -1)) 2) (cbrt.f64 (acos.f64 -1)))
(exp.f64 (log.f64 (-.f64 (PI.f64) (acos.f64 (fma.f64 v (*.f64 v -4) 1)))))
(pow.f64 (cbrt.f64 (pow.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 3/2)) 2)
(expm1.f64 (log1p.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)))) 3)
(expm1.f64 (pow.f64 (sqrt.f64 (log1p.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))) 2))
(pow.f64 (expm1.f64 (log1p.f64 (sqrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1))))) 2)
(pow.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))) 3) 2)
(pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1))) 3)) 2)
(exp.f64 (.f64 (log.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) 3))
(pow.f64 (pow.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2/3) 3)
(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)
(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))
(expm1.f64 (pow.f64 (sqrt.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) 2))
(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 (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) 3) 3)
(.f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 v (.f64 v 4) -1))) 2) (cbrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1))))
(pow.f64 (expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))) 3))) 2)
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (PI.f64)) (neg.f64 (acos.f64 (fma.f64 v (*.f64 v -4) 1))))
(expm1.f64 (pow.f64 (pow.f64 (pow.f64 (log1p.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 (log.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))) 3)) 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 (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))
(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 (pow.f64 (sqrt.f64 (log1p.f64 (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))))))) 2))
(expm1.f64 (pow.f64 (.f64 (pow.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 1/12) 3) (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 1/12)) 3))
(expm1.f64 (.f64 (pow.f64 (+.f64 0 (pow.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 1/72) 16)) 3) (cbrt.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))
(expm1.f64 (.f64 (pow.f64 (cbrt.f64 (pow.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)))))))
(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)))))))
(expm1.f64 (.f64 (pow.f64 (sqrt.f64 (pow.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 1/18) 8)) 3) (cbrt.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))
(expm1.f64 (.f64 (pow.f64 (pow.f64 (pow.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 2) 1/144) 16) 3) (cbrt.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))
(expm1.f64 (.f64 (pow.f64 (pow.f64 (pow.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 2) 1/144) 16) 3) (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 1/3)))
(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)))
(expm1.f64 (.f64 (pow.f64 (pow.f64 (pow.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 2) 1/144) 16) 3) (pow.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 1/6) 2)))
(pow.f64 (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))))))) 3)
(expm1.f64 (pow.f64 (+.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))))))))) 3))
(expm1.f64 (.f64 (.f64 (pow.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 1/144) 48) (pow.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 1/144) 48)) (cbrt.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))
(expm1.f64 (.f64 (pow.f64 (.f64 (pow.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 1/144) 16) (pow.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 1/144) 16)) 3) (cbrt.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))
(expm1.f64 (.f64 (pow.f64 (.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) 8)) (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))) 3) (cbrt.f64 (log1p.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 (/.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)))))))))
(expm1.f64 (.f64 (pow.f64 (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.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))) 2)) (log.f64 (cbrt.f64 (exp.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))))) 3) (cbrt.f64 (log1p.f64 (acos.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

(expm1.f64 (pow.f64 (sqrt.f64 (log1p.f64 (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))))))) 2))

Calls

7 calls:

31.0ms	v
11.0ms	(*.f64 v v)
11.0ms	(*.f64 v v)
6.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))
6.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

Results

Error	Segments	Branch
0.4b	1	`v`
0.4b	1	`(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))`
0.4b	1	`(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))`
0.4b	1	`(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))`
0.4b	1	`(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))`
0.4b	1	`(*.f64 v v)`
0.4b	1	`(*.f64 v v)`

Compiler

Compiled 1423 to 1079 computations (24.2% saved)

regimes64.0ms (0.4%)

Counts

35 → 1

Calls

Call 1

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

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

Calls

7 calls:

16.0ms	v
8.0ms	(*.f64 v v)
7.0ms	(*.f64 v v)
5.0ms	(acos.f64 (/.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
0.4b	1	`v`
0.4b	1	`(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))`
0.4b	1	`(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))`
0.4b	1	`(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))`
0.4b	1	`(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))`
0.4b	1	`(*.f64 v v)`
0.4b	1	`(*.f64 v v)`

Compiler

Compiled 571 to 431 computations (24.5% saved)

regimes34.0ms (0.2%)

Accuracy

Total -3.8b remaining (-851.9%)

Threshold costs -3.8b (-851.9%)

Counts

23 → 1

Calls

Call 1

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

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

Calls

4 calls:

12.0ms	v
5.0ms	(*.f64 v v)
4.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))
3.0ms	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))

Results

Error	Segments	Branch
0.4b	1	`v`
0.4b	1	`(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))`
0.4b	1	`(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))`
0.4b	1	`(*.f64 v v)`

Compiler

Compiled 312 to 235 computations (24.7% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

7×	`*-commutative_binary64`
6×	`+-commutative_binary64`
6×	`sub-neg_binary64`
4×	`neg-sub0_binary64`
4×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	97
1	49	97
2	60	97
3	68	97
4	73	97
5	76	97
6	77	97

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 66 to 52 computations (21.2% saved)

soundness0.0ms (0%)

end50.0ms (0.3%)

Compiler: Compiled 63 to 49 computations (22.2% saved)

Iter	Nodes	Cost
0	9	288
1	16	288
2	24	288
3	34	288
4	44	288
5	61	288
6	98	288
7	135	288
8	180	288
9	216	288
10	242	288
11	244	288

Iter	Nodes	Cost
0	9	288
1	16	288
2	24	288
3	34	288
4	44	288
5	61	288
6	98	288
7	135	288
8	180	288
9	216	288
10	242	288
11	244	288

Iter	Nodes	Cost
0	9	288
1	16	288
2	24	288
3	34	288
4	44	288
5	61	288
6	98	288
7	135	288
8	180	288
9	216	288
10	242	288
11	244	288