Details

analyze15.0ms (1.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	37.5%	62.5%	0
0%	37.5%	62.5%	1
0%	18.7%	81.3%	2
0%	9.4%	90.6%	3
0%	9.4%	90.6%	4
0%	7%	93%	5
1.2%	4.7%	94.1%	6
1.2%	3.5%	95.3%	7
1.8%	2.6%	95.6%	8
2%	1.9%	96%	9
2.4%	1.3%	96.3%	10
2.6%	1%	96.5%	11
2.7%	0.7%	96.6%	12

Compiler

Compiled 26 to 15 computations (42.3% saved)

sample1.0s (72.2%)

Results

915.0ms	8256×	body	64	valid
93.0ms	784×	body	64	invalid

preprocess43.0ms (3%)

Algorithm

2×	egg-herbie

Rules

746×	`fma-neg_binary64`
359×	`fabs-div_binary64`
352×	`distribute-neg-frac_binary64`
303×	`associate-/l*_binary64`
297×	`fabs-mul_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	40
1	47	34
2	137	30
3	394	30
4	1282	30
5	5458	30
0	2	2

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 b b) (.f64 a a)) (*.f64 b b))))

Outputs
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))
(sqrt.f64 (fabs.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1)))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 b b) (.f64 a a)) (*.f64 b b))))
(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (.f64 a a) (.f64 b b)))))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 a b) (/.f64 a b) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 a (/.f64 a (*.f64 b b)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 a (/.f64 (/.f64 a b) b) -1)))

Compiler

Compiled 15 to 8 computations (46.7% saved)

simplify40.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

704×	`fma-def_binary64`
600×	`associate-/r*_binary64`
558×	`associate-l_binary64`
489×	`associate-r_binary64`
362×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	20
1	26	17
2	72	15
3	201	15
4	549	15
5	1979	15
6	7669	15

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

Inputs
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))

Outputs
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))
(sqrt.f64 (fabs.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1)))

prune3.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

14.9b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	14.9b	(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1)))

Compiler

Compiled 49 to 29 computations (40.8% saved)

localize8.0ms (0.6%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1)))
✓	14.7b	(/.f64 b (*.f64 a a))

series7.0ms (0.5%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	b	@	0	(/.f64 b (*.f64 a a))
1.0ms	a	@	0	(/.f64 b (*.f64 a a))
1.0ms	b	@	inf	(/.f64 b (*.f64 a a))
1.0ms	b	@	-inf	(/.f64 b (*.f64 a a))
0.0ms	a	@	inf	(/.f64 b (*.f64 a a))

rewrite48.0ms (3.4%)

Algorithm

1×	batch-egg-rewrite

Rules

832×	`pow1_binary64`
772×	`add-log-exp_binary64`
772×	`log1p-expm1-u_binary64`
772×	`expm1-log1p-u_binary64`
752×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	22
1	183	20
2	2344	20

Stop Event

1×	node limit

Counts

2 → 52

Calls

Call 1

Inputs
(/.f64 b (*.f64 a a))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1)))

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

Outputs

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

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

simplify64.0ms (4.6%)

Algorithm

1×	egg-herbie

Rules

966×	`fma-def_binary64`
693×	`associate-/r/_binary64`
434×	`unswap-sqr_binary64`
239×	`cancel-sign-sub-inv_binary64`
232×	`associate-/r*_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	528
1	17	528
2	30	528
3	55	528
4	136	528
5	444	528
6	1879	528
7	3242	528
8	3964	528
9	4573	528
10	5561	528

Stop Event

1×	node limit

Counts

100 → 56

Calls

Call 1

Inputs
(/.f64 b (pow.f64 a 2))
(/.f64 b (pow.f64 a 2))
(/.f64 b (pow.f64 a 2))
(/.f64 b (pow.f64 a 2))
(/.f64 b (pow.f64 a 2))
(/.f64 b (pow.f64 a 2))
(/.f64 b (pow.f64 a 2))
(/.f64 b (pow.f64 a 2))
(/.f64 b (pow.f64 a 2))
(/.f64 b (pow.f64 a 2))
(/.f64 b (pow.f64 a 2))
(/.f64 b (pow.f64 a 2))
(/.f64 b (pow.f64 a 2))
(/.f64 b (pow.f64 a 2))
(/.f64 b (pow.f64 a 2))
(/.f64 b (pow.f64 a 2))
(/.f64 b (pow.f64 a 2))
(/.f64 b (pow.f64 a 2))
(/.f64 b (pow.f64 a 2))
(/.f64 b (pow.f64 a 2))
(/.f64 b (pow.f64 a 2))
(/.f64 b (pow.f64 a 2))
(/.f64 b (pow.f64 a 2))
(/.f64 b (pow.f64 a 2))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1)))

Outputs
(/.f64 b (pow.f64 a 2))
(/.f64 b (*.f64 a a))
(/.f64 b (pow.f64 a 2))
(/.f64 b (*.f64 a a))
(/.f64 b (pow.f64 a 2))
(/.f64 b (*.f64 a a))
(/.f64 b (pow.f64 a 2))
(/.f64 b (*.f64 a a))
(/.f64 b (pow.f64 a 2))
(/.f64 b (*.f64 a a))
(/.f64 b (pow.f64 a 2))
(/.f64 b (*.f64 a a))
(/.f64 b (pow.f64 a 2))
(/.f64 b (*.f64 a a))
(/.f64 b (pow.f64 a 2))
(/.f64 b (*.f64 a a))
(/.f64 b (pow.f64 a 2))
(/.f64 b (*.f64 a a))
(/.f64 b (pow.f64 a 2))
(/.f64 b (*.f64 a a))
(/.f64 b (pow.f64 a 2))
(/.f64 b (*.f64 a a))
(/.f64 b (pow.f64 a 2))
(/.f64 b (*.f64 a a))
(/.f64 b (pow.f64 a 2))
(/.f64 b (*.f64 a a))
(/.f64 b (pow.f64 a 2))
(/.f64 b (*.f64 a a))
(/.f64 b (pow.f64 a 2))
(/.f64 b (*.f64 a a))
(/.f64 b (pow.f64 a 2))
(/.f64 b (*.f64 a a))
(/.f64 b (pow.f64 a 2))
(/.f64 b (*.f64 a a))
(/.f64 b (pow.f64 a 2))
(/.f64 b (*.f64 a a))
(/.f64 b (pow.f64 a 2))
(/.f64 b (*.f64 a a))
(/.f64 b (pow.f64 a 2))
(/.f64 b (*.f64 a a))
(/.f64 b (pow.f64 a 2))
(/.f64 b (*.f64 a a))
(/.f64 b (pow.f64 a 2))
(/.f64 b (*.f64 a a))
(/.f64 b (pow.f64 a 2))
(/.f64 b (*.f64 a a))
(/.f64 b (pow.f64 a 2))
(/.f64 b (*.f64 a a))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))

prune61.0ms (4.3%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	55	1	56
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	56	1	57

Error

0.0b

Counts

57 → 1

Alt Table

Status	Error	Program
▶	0.0b	(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))

Compiler

Compiled 797 to 542 computations (32% saved)

localize5.0ms (0.4%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))

series3.0ms (0.2%)

Counts

1 → 0

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	b	@	inf	(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))
1.0ms	b	@	0	(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))
0.0ms	b	@	-inf	(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))
0.0ms	a	@	-inf	(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))
0.0ms	a	@	inf	(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))

rewrite41.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

710×	`pow1_binary64`
656×	`add-log-exp_binary64`
656×	`log1p-expm1-u_binary64`
656×	`expm1-log1p-u_binary64`
641×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	160	12
2	1986	12

Stop Event

1×	node limit

Counts

1 → 20

Calls

Call 1

Inputs
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))

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

Outputs

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

simplify6.0ms (0.4%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

20 → 20

Calls

Call 1

Inputs

Outputs

prune10.0ms (0.7%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	20	0	20
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	20	1	21

Error

0.0b

Counts

21 → 1

Alt Table

Status	Error	Program
✓	0.0b	(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))

Compiler

Compiled 268 to 189 computations (29.5% saved)

regimes22.0ms (1.6%)

Accuracy

Total -14.9b remaining (-127547.4%)

Threshold costs -14.9b (-127547.4%)

Counts

3 → 1

Calls

Call 1

Inputs
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1)))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))

Outputs
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))

Results

5.0ms	0.0b	`a`
3.0ms	0.0b	`b`
2.0ms	0.0b	`(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))`
2.0ms	0.0b	`(fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)))`
2.0ms	0.0b	`(/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))`
3.0ms	0.0b	`(*.f64 a a)`
3.0ms	0.0b	`(*.f64 a a)`
2.0ms	0.0b	`(*.f64 b b)`

Compiler

Compiled 98 to 52 computations (46.9% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15

Stop Event

1×

saturated

Calls

Call 1

Inputs
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))

Outputs
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))

end15.0ms (1.1%)

Stop Event

1×

done

Compiler

Compiled 24 to 14 computations (41.7% saved)

Details

analyze15.0ms (1.1%)

sample1.0s (72.2%)

preprocess43.0ms (3%)

simplify40.0ms (2.8%)

prune3.0ms (0.2%)

localize8.0ms (0.6%)

series7.0ms (0.5%)

rewrite48.0ms (3.4%)

simplify64.0ms (4.6%)

prune61.0ms (4.3%)

localize5.0ms (0.4%)

series3.0ms (0.2%)

rewrite41.0ms (2.9%)

simplify6.0ms (0.4%)

prune10.0ms (0.7%)

regimes22.0ms (1.6%)

simplify2.0ms (0.1%)

end15.0ms (1.1%)

Profiling