Details

analyze365.0ms (7%)

Algorithm

1×

Search

True	Other	False	Iter
0%	0%	100%	0
0%	0%	100%	1
0%	0%	100%	2
0%	0%	100%	3
0%	0%	100%	4
0%	0%	100%	5
0%	0%	100%	6
0%	0%	100%	7
0%	0%	100%	8
0%	0%	100%	9
0%	0%	100%	10
0%	0%	100%	11
0%	0%	100%	12
0%	0%	100%	13
0%	0%	100%	14

Compiler

Compiled 43 to 31 computations (27.9% saved)

sample1.7s (33.4%)

Results

812.0ms	2999×	body	256	valid
791.0ms	5256×	body	128	valid
127.0ms	880×	body	128	invalid
0.0ms	1×	body	512	valid

Compiler

Compiled 86 to 62 computations (27.9% saved)

preprocess44.0ms (0.8%)

Algorithm

2×	egg-herbie

Rules

795×	`fma-def_binary64`
731×	`div-sub_binary64`
295×	`fma-neg_binary64`
212×	`associate-/l*_binary64`
209×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	104
1	92	88
2	213	88
3	440	88
4	758	88
5	1251	88
6	2221	88
7	4457	88
0	3	3

Stop Event

1×	saturated
1×	node limit

Compiler

Compiled 20 to 14 computations (30% saved)

simplify32.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1220×	`fma-neg_binary64`
367×	`fma-def_binary64`
351×	`times-frac_binary64`
266×	`associate-/l*_binary64`
254×	`div-sub_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	26
1	30	22
2	69	22
3	160	22
4	264	22
5	433	22
6	744	22
7	1341	22
8	2769	22
9	4702	22

Stop Event

1×	node limit

Counts

1 → 2

prune4.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

42.9b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	42.9b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3)))) b) (/.f64 1/3 a))
	43.0b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))

Compiler

Compiled 111 to 75 computations (32.4% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 a (.f64 c -3))
✓	0.3b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3)))) b) (/.f64 1/3 a))
✓	0.4b	(/.f64 1/3 a)
✓	37.1b	(-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -3)))) b)

series103.0ms (2%)

Counts

4 → 64

Calls

27 calls:

15.0ms	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3)))) b) (/.f64 1/3 a))	c	-inf
11.0ms	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3)))) b) (/.f64 1/3 a))	a	-inf
10.0ms	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3)))) b) (/.f64 1/3 a))	a	inf
7.0ms	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3)))) b) (/.f64 1/3 a))	c	inf
6.0ms	(-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -3)))) b)	c	inf

rewrite71.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

737×	`prod-diff_binary64`
143×	`add-sqr-sqrt_binary64`
136×	`*-un-lft-identity_binary64`
136×	`pow1_binary64`
133×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	49
1	282	47
2	3654	47

Stop Event

1×	node limit

Counts

4 → 143

simplify40.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

744×	`times-frac_binary64`
459×	`associate-/l*_binary64`
392×	`associate-/r*_binary64`
316×	`fma-def_binary64`
174×	`associate-*l/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	118	1538
1	369	1520
2	1302	1491

Stop Event

1×	node limit

Counts

207 → 192

prune142.0ms (2.7%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	178	14	192
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	179	15	194

Error

0.5b

Counts

194 → 15

Alt Table

Status	Error	Program
	42.9b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3)))) b) (pow.f64 (cbrt.f64 (/.f64 1/3 a)) 3))
	12.9b	(*.f64 -1/2 (/.f64 c b))
	43.0b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3)))) b) (pow.f64 (pow.f64 (/.f64 1/3 a) 3) 1/3))
	3.4b	(.f64 (-.f64 (.f64 (/.f64 -3/2 b) (.f64 c a)) (fma.f64 9/8 (.f64 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a) a) (fma.f64 27/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (.f64 405/128 (.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 4)))))) (/.f64 1/3 a))
	42.9b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -3)))) b) (.f64 (cbrt.f64 (/.f64 1/3 a)) (cbrt.f64 (/.f64 1/9 (*.f64 a a)))))
	3.5b	(.f64 (neg.f64 (+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 405/128 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7))) (.f64 27/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))) (/.f64 1/3 a))
	42.9b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -3)))) b) (.f64 1/3 (/.f64 1 a)))
	4.6b	(.f64 (fma.f64 -3/2 (.f64 (/.f64 c b) a) (fma.f64 (.f64 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a) a) -9/8 (.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) -27/16))) (/.f64 1/3 a))
	43.2b	(.f64 (+.f64 (fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 b b (.f64 a (.f64 c -3)))) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3))))) (neg.f64 b)) (fma.f64 (neg.f64 (cbrt.f64 b)) (pow.f64 (cbrt.f64 b) 2) b)) (/.f64 1/3 a))
▶	3.1b	(-.f64 (.f64 (.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) a)) a) -9/16) (fma.f64 1/2 (/.f64 c b) (fma.f64 135/128 (.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 3)) (.f64 3/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a)))))
	3.1b	(neg.f64 (+.f64 (.f64 9/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (.f64 135/128 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))) (+.f64 (.f64 3/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 1/2 (/.f64 c b))))))
	43.0b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))
	42.9b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3)))) b) (exp.f64 (log.f64 (/.f64 1/3 a))))
	42.8b	(.f64 (+.f64 (fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 b b (.f64 a (.f64 c -3)))) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3))))) (neg.f64 b)) (fma.f64 -1 b b)) (/.f64 1/3 a))
	42.7b	(.f64 (+.f64 (fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 b b (.f64 a (.f64 c -3)))) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3))))) (neg.f64 b)) (fma.f64 (neg.f64 (sqrt.f64 b)) (sqrt.f64 b) b)) (/.f64 1/3 a))

Compiler

Compiled 5571 to 3591 computations (35.5% saved)

localize27.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) a)) a)
✓	0.3b	(/.f64 (*.f64 c c) (pow.f64 b 3))
✓	0.3b	(/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) a))
✓	0.3b	(/.f64 (pow.f64 c 4) (pow.f64 b 7))

series222.0ms (4.2%)

Counts

4 → 96

Calls

30 calls:

12.0ms	(*.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) a)) a)	c	inf
12.0ms	(/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) a))	a	-inf
11.0ms	(*.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) a)) a)	a	-inf
11.0ms	(/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) a))	a	0
11.0ms	(*.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) a)) a)	a	0

rewrite38.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

202×	`add-sqr-sqrt_binary64`
197×	`pow1_binary64`
195×	`add-log-exp_binary64`
195×	`log1p-expm1-u_binary64`
195×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	49
1	436	49

Stop Event

1×	node limit

Counts

4 → 126

simplify95.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

654×	`associate-/l*_binary64`
366×	`associate-l_binary64`
340×	`associate-/r*_binary64`
322×	`associate-r_binary64`
296×	`sqr-pow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	1284
1	47	1284
2	145	1284
3	652	1284
4	4089	1284
5	4174	1284
6	4346	1284
7	4609	1284
8	4858	1284

Stop Event

1×	node limit

Counts

222 → 131

prune268.0ms (5.1%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	131	0	131
Fresh	0	14	14
Picked	0	1	1
Done	0	0	0
Total	131	15	146

Error

0.5b

Counts

146 → 15

Alt Table

Status	Error	Program
	42.9b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3)))) b) (pow.f64 (cbrt.f64 (/.f64 1/3 a)) 3))
	12.9b	(*.f64 -1/2 (/.f64 c b))
	43.0b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3)))) b) (pow.f64 (pow.f64 (/.f64 1/3 a) 3) 1/3))
	3.4b	(.f64 (-.f64 (.f64 (/.f64 -3/2 b) (.f64 c a)) (fma.f64 9/8 (.f64 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a) a) (fma.f64 27/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (.f64 405/128 (.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 4)))))) (/.f64 1/3 a))
	42.9b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -3)))) b) (.f64 (cbrt.f64 (/.f64 1/3 a)) (cbrt.f64 (/.f64 1/9 (*.f64 a a)))))
	3.5b	(.f64 (neg.f64 (+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 405/128 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7))) (.f64 27/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))) (/.f64 1/3 a))
	42.9b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -3)))) b) (.f64 1/3 (/.f64 1 a)))
	4.6b	(.f64 (fma.f64 -3/2 (.f64 (/.f64 c b) a) (fma.f64 (.f64 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a) a) -9/8 (.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) -27/16))) (/.f64 1/3 a))
	43.2b	(.f64 (+.f64 (fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 b b (.f64 a (.f64 c -3)))) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3))))) (neg.f64 b)) (fma.f64 (neg.f64 (cbrt.f64 b)) (pow.f64 (cbrt.f64 b) 2) b)) (/.f64 1/3 a))
✓	3.1b	(-.f64 (.f64 (.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) a)) a) -9/16) (fma.f64 1/2 (/.f64 c b) (fma.f64 135/128 (.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 3)) (.f64 3/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a)))))
▶	3.1b	(neg.f64 (+.f64 (.f64 9/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (.f64 135/128 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))) (+.f64 (.f64 3/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 1/2 (/.f64 c b))))))
	43.0b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))
	42.9b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3)))) b) (exp.f64 (log.f64 (/.f64 1/3 a))))
	42.8b	(.f64 (+.f64 (fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 b b (.f64 a (.f64 c -3)))) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3))))) (neg.f64 b)) (fma.f64 -1 b b)) (/.f64 1/3 a))
	42.7b	(.f64 (+.f64 (fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 b b (.f64 a (.f64 c -3)))) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3))))) (neg.f64 b)) (fma.f64 (neg.f64 (sqrt.f64 b)) (sqrt.f64 b) b)) (/.f64 1/3 a))

Compiler

Compiled 7095 to 4735 computations (33.3% saved)

localize27.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))
✓	0.3b	(/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))
✓	0.3b	(*.f64 (pow.f64 c 3) (pow.f64 a 2))
✓	0.4b	(/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))

series253.0ms (4.9%)

Counts

4 → 0

Calls

33 calls:

18.0ms	(/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))	a	inf
14.0ms	(/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))	c	0
14.0ms	(/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))	c	-inf
13.0ms	(/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))	c	inf
12.0ms	(/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))	a	-inf

rewrite31.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

233×	`add-sqr-sqrt_binary64`
230×	`pow1_binary64`
225×	`add-log-exp_binary64`
225×	`log1p-expm1-u_binary64`
225×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	55
1	519	55

Stop Event

1×	node limit

Counts

4 → 72

simplify10.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

72 → 72

prune186.0ms (3.6%)

Pruning

16 alts after pruning (14 fresh and 2 done)

	Pruned	Kept	Total
New	71	1	72
Fresh	0	13	13
Picked	0	1	1
Done	0	1	1
Total	71	16	87

Error

0.5b

Counts

87 → 16

Alt Table

Status	Error	Program
	42.9b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3)))) b) (pow.f64 (cbrt.f64 (/.f64 1/3 a)) 3))
	12.9b	(*.f64 -1/2 (/.f64 c b))
	43.0b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3)))) b) (pow.f64 (pow.f64 (/.f64 1/3 a) 3) 1/3))
▶	3.4b	(.f64 (-.f64 (.f64 (/.f64 -3/2 b) (.f64 c a)) (fma.f64 9/8 (.f64 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a) a) (fma.f64 27/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (.f64 405/128 (.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 4)))))) (/.f64 1/3 a))
	42.9b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -3)))) b) (.f64 (cbrt.f64 (/.f64 1/3 a)) (cbrt.f64 (/.f64 1/9 (*.f64 a a)))))
	3.5b	(.f64 (neg.f64 (+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 405/128 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7))) (.f64 27/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))) (/.f64 1/3 a))
	42.9b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -3)))) b) (.f64 1/3 (/.f64 1 a)))
	4.6b	(.f64 (fma.f64 -3/2 (.f64 (/.f64 c b) a) (fma.f64 (.f64 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a) a) -9/8 (.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) -27/16))) (/.f64 1/3 a))
	43.2b	(.f64 (+.f64 (fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 b b (.f64 a (.f64 c -3)))) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3))))) (neg.f64 b)) (fma.f64 (neg.f64 (cbrt.f64 b)) (pow.f64 (cbrt.f64 b) 2) b)) (/.f64 1/3 a))
✓	3.1b	(-.f64 (.f64 (.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) a)) a) -9/16) (fma.f64 1/2 (/.f64 c b) (fma.f64 135/128 (.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 3)) (.f64 3/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a)))))
✓	3.1b	(neg.f64 (+.f64 (.f64 9/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (.f64 135/128 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))) (+.f64 (.f64 3/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 1/2 (/.f64 c b))))))
	43.0b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))
	42.9b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3)))) b) (exp.f64 (log.f64 (/.f64 1/3 a))))
	3.6b	(neg.f64 (+.f64 (.f64 9/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (.f64 135/128 (-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b -7)))) 1)) (+.f64 (.f64 3/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (.f64 1/2 (/.f64 c b))))))
	42.8b	(.f64 (+.f64 (fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 b b (.f64 a (.f64 c -3)))) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3))))) (neg.f64 b)) (fma.f64 -1 b b)) (/.f64 1/3 a))
	42.7b	(.f64 (+.f64 (fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 b b (.f64 a (.f64 c -3)))) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3))))) (neg.f64 b)) (fma.f64 (neg.f64 (sqrt.f64 b)) (sqrt.f64 b) b)) (/.f64 1/3 a))

Compiler

Compiled 4563 to 3275 computations (28.2% saved)

localize29.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(/.f64 (pow.f64 b 5) (pow.f64 a 3))
✓	0.4b	(.f64 (/.f64 -3/2 b) (.f64 c a))
✓	0.4b	(/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3)))
	0.4b	(/.f64 1/3 a)

series140.0ms (2.7%)

Counts

3 → 72

Calls

24 calls:

13.0ms	(/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3)))	c	0
11.0ms	(/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3)))	c	-inf
11.0ms	(/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3)))	a	-inf
10.0ms	(/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3)))	c	inf
10.0ms	(/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3)))	a	inf

rewrite68.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

279×	`log1p-udef_binary64`
161×	`add-sqr-sqrt_binary64`
155×	`pow1_binary64`
153×	`add-log-exp_binary64`
153×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	36
1	342	35
2	4305	35

Stop Event

1×	node limit

Counts

3 → 110

simplify44.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

843×	`times-frac_binary64`
595×	`associate-/l*_binary64`
543×	`unswap-sqr_binary64`
301×	`associate-/r*_binary64`
257×	`associate-l_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	15	936
1	41	936
2	125	936
3	601	936
4	4632	828

Stop Event

1×	node limit

Counts

182 → 114

prune261.0ms (5%)

Pruning

19 alts after pruning (18 fresh and 1 done)

	Pruned	Kept	Total
New	128	8	136
Fresh	3	10	13
Picked	1	0	1
Done	1	1	2
Total	133	19	152

Error

0.4b

Counts

152 → 19

Alt Table

Status	Error	Program
	43.2b	(.f64 (+.f64 (fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 b b (.f64 a (.f64 c -3)))) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3))))) (neg.f64 b)) (fma.f64 (neg.f64 (cbrt.f64 b)) (pow.f64 (cbrt.f64 b) 2) b)) (/.f64 1/3 a))
	4.3b	(.f64 (-.f64 (pow.f64 (cbrt.f64 (.f64 c (.f64 a (/.f64 -3/2 b)))) 3) (fma.f64 9/8 (.f64 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a) a) (fma.f64 27/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (.f64 405/128 (.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 4)))))) (/.f64 1/3 a))
✓	3.1b	(-.f64 (.f64 (.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) a)) a) -9/16) (fma.f64 1/2 (/.f64 c b) (fma.f64 135/128 (.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 3)) (.f64 3/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a)))))
	3.8b	(.f64 (-.f64 (/.f64 (/.f64 (.f64 -3/2 (.f64 c a)) (cbrt.f64 (.f64 b b))) (cbrt.f64 b)) (fma.f64 9/8 (.f64 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a) a) (fma.f64 27/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (.f64 405/128 (*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 4)))))) (/.f64 1/3 a))
	42.9b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3)))) b) (pow.f64 (cbrt.f64 (/.f64 1/3 a)) 3))
	12.9b	(*.f64 -1/2 (/.f64 c b))
	4.2b	(.f64 (-.f64 (.f64 (/.f64 -3/2 b) (.f64 c a)) (fma.f64 9/8 (.f64 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a) a) (fma.f64 27/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (.f64 405/128 (.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 4)))))) (pow.f64 (cbrt.f64 (/.f64 1/3 a)) 3))
	42.9b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -3)))) b) (.f64 (cbrt.f64 (/.f64 1/3 a)) (cbrt.f64 (/.f64 1/9 (*.f64 a a)))))
	3.5b	(.f64 (-.f64 (.f64 (/.f64 -3/2 b) (.f64 c a)) (fma.f64 9/8 (.f64 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a) a) (fma.f64 27/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (.f64 405/128 (.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 4)))))) (pow.f64 (*.f64 a 3) -1))
	3.4b	(.f64 (-.f64 (pow.f64 (.f64 c (.f64 a (/.f64 -3/2 b))) 1) (fma.f64 9/8 (.f64 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a) a) (fma.f64 27/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (.f64 405/128 (.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 4)))))) (/.f64 1/3 a))
	3.6b	(.f64 (-.f64 (/.f64 (/.f64 (.f64 -3/2 (.f64 c a)) (sqrt.f64 b)) (sqrt.f64 b)) (fma.f64 9/8 (.f64 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a) a) (fma.f64 27/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (.f64 405/128 (.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 4)))))) (/.f64 1/3 a))
	43.0b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))
	42.9b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3)))) b) (exp.f64 (log.f64 (/.f64 1/3 a))))
	5.3b	(.f64 (-.f64 (.f64 (/.f64 -3/2 b) (.f64 c a)) (fma.f64 9/8 (.f64 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a) a) (fma.f64 27/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (.f64 405/128 (.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 4)))))) (pow.f64 (pow.f64 (/.f64 1/3 a) 3) 1/3))
	43.0b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3)))) b) (pow.f64 (pow.f64 (/.f64 1/3 a) 3) 1/3))
	42.9b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -3)))) b) (.f64 1/3 (/.f64 1 a)))
	4.8b	(.f64 (-.f64 (.f64 (/.f64 -3/2 b) (.f64 c a)) (fma.f64 9/8 (.f64 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a) a) (fma.f64 27/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (.f64 405/128 (.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 4)))))) (exp.f64 (log.f64 (/.f64 1/3 a))))
	42.8b	(.f64 (+.f64 (fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 b b (.f64 a (.f64 c -3)))) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3))))) (neg.f64 b)) (fma.f64 -1 b b)) (/.f64 1/3 a))
	42.7b	(.f64 (+.f64 (fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 b b (.f64 a (.f64 c -3)))) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3))))) (neg.f64 b)) (fma.f64 (neg.f64 (sqrt.f64 b)) (sqrt.f64 b) b)) (/.f64 1/3 a))

Compiler

Compiled 8168 to 5541 computations (32.2% saved)

regimes452.0ms (8.7%)

Accuracy

Total 2.6b remaining (86.2%)

Threshold costs 0b (0%)

Counts

56 → 1

Compiler

Compiled 11726 to 8521 computations (27.3% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	63
1	39	63
2	44	63
3	46	63
4	47	63

Stop Event

1×

saturated

end511.0ms (9.8%)

Stop Event

1×

fuel

Compiler

Compiled 852 to 609 computations (28.5% saved)

Details

analyze365.0ms (7%)

sample1.7s (33.4%)

preprocess44.0ms (0.8%)

simplify32.0ms (0.6%)

prune4.0ms (0.1%)

localize9.0ms (0.2%)

series103.0ms (2%)

rewrite71.0ms (1.4%)

simplify40.0ms (0.8%)

prune142.0ms (2.7%)

localize27.0ms (0.5%)

series222.0ms (4.2%)

rewrite38.0ms (0.7%)

simplify95.0ms (1.8%)

prune268.0ms (5.1%)

localize27.0ms (0.5%)

series253.0ms (4.9%)

rewrite31.0ms (0.6%)

simplify10.0ms (0.2%)

prune186.0ms (3.6%)

localize29.0ms (0.5%)

series140.0ms (2.7%)

rewrite68.0ms (1.3%)

simplify44.0ms (0.9%)

prune261.0ms (5%)

regimes452.0ms (8.7%)

simplify3.0ms (0.1%)

end511.0ms (9.8%)

Profiling