Details

analyze350.0ms (6.5%)

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)

sample1.5s (28.3%)

Results

1.2s	7902×	body	128	valid
147.0ms	977×	body	128	invalid
96.0ms	354×	body	256	valid

Compiler

Compiled 106 to 76 computations (28.3% saved)

simplify31.0ms (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

28.2b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	28.2b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3)))) b) (/.f64 1/3 a))
	28.3b	(/.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)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.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)
✓	28.3b	(-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -3)))) b)

series95.0ms (1.8%)

Counts

4 → 64

Calls

4 calls:

52.0ms	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3)))) b) (/.f64 1/3 a))
36.0ms	(-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -3)))) b)
4.0ms	(.f64 a (.f64 c -3))
1.0ms	(/.f64 1/3 a)

rewrite67.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

737×	`prod-diff_binary64`
143×	`egg-rr`
140×	`add-sqr-sqrt_binary64`
133×	`log1p-expm1-u_binary64`
133×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	49
1	282	47
2	3646	47

Stop Event

1×	node limit

Counts

4 → 143

Calls

4 calls:

64.0ms	(.f64 a (.f64 c -3))
64.0ms	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3)))) b) (/.f64 1/3 a))
64.0ms	(/.f64 1/3 a)
64.0ms	(-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -3)))) b)

simplify38.0ms (0.7%)

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

prune133.0ms (2.5%)

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

0.8b

Counts

194 → 15

Alt Table

Status	Error	Program
	29.6b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3)))) b) (-.f64 (exp.f64 (log1p.f64 (/.f64 1/3 a))) 1))
	5.5b	(.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)))))) (/.f64 1/3 a))
	29.3b	(.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))
	5.5b	(.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))
	29.4b	(.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))
	7.5b	(.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))
	28.2b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -3)))) b) (pow.f64 (.f64 a 3) -1))
	5.3b	(-.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)))))
	28.3b	(.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))
	30.3b	(.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))
	28.3b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))
	28.2b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3)))) b) (exp.f64 (log.f64 (/.f64 1/3 a))))
	28.2b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3)))) b) (cbrt.f64 (pow.f64 (/.f64 1/3 a) 3)))
▶	5.3b	(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))))))
	28.3b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3)))) b) (pow.f64 (cbrt.f64 (/.f64 1/3 a)) 3))

Compiler

Compiled 5589 to 3605 computations (35.5% saved)

localize27.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 (pow.f64 c 4) (pow.f64 a 3))
✓	0.4b	(/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))
✓	0.4b	(.f64 3/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3)))
✓	0.4b	(*.f64 (pow.f64 c 3) (pow.f64 a 2))

series217.0ms (4%)

Counts

4 → 0

Calls

4 calls:

105.0ms	(/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))
80.0ms	(.f64 3/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3)))
17.0ms	(*.f64 (pow.f64 c 4) (pow.f64 a 3))
14.0ms	(*.f64 (pow.f64 c 3) (pow.f64 a 2))

rewrite34.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

209×	`add-sqr-sqrt_binary64`
209×	`log1p-expm1-u_binary64`
209×	`expm1-log1p-u_binary64`
202×	`add-cbrt-cube_binary64`
201×	`add-cube-cbrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	52
1	484	52

Stop Event

1×	node limit

Counts

4 → 78

Calls

4 calls:

33.0ms	(*.f64 (pow.f64 c 4) (pow.f64 a 3))
33.0ms	(/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))
33.0ms	(.f64 3/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3)))
33.0ms	(*.f64 (pow.f64 c 3) (pow.f64 a 2))

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

78 → 78

prune175.0ms (3.3%)

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	77	1	78
Fresh	0	14	14
Picked	0	1	1
Done	0	0	0
Total	77	16	93

Error

0.8b

Counts

93 → 16

Alt Table

Status	Error	Program
	29.6b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3)))) b) (-.f64 (exp.f64 (log1p.f64 (/.f64 1/3 a))) 1))
	5.5b	(.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)))))) (/.f64 1/3 a))
	29.3b	(.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))
	5.5b	(.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))
	29.4b	(.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))
	7.5b	(.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))
	28.2b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -3)))) b) (pow.f64 (.f64 a 3) -1))
▶	5.3b	(-.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)))))
	5.7b	(neg.f64 (+.f64 (.f64 9/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (.f64 135/128 (log.f64 (exp.f64 (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b 7) (pow.f64 a 3)))))) (+.f64 (.f64 3/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (.f64 1/2 (/.f64 c b))))))
✓	5.3b	(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))))))
	28.3b	(.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))
	30.3b	(.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))
	28.3b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))
	28.2b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3)))) b) (exp.f64 (log.f64 (/.f64 1/3 a))))
	28.2b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3)))) b) (cbrt.f64 (pow.f64 (/.f64 1/3 a) 3)))
	28.3b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3)))) b) (pow.f64 (cbrt.f64 (/.f64 1/3 a)) 3))

Compiler

Compiled 4958 to 3627 computations (26.8% saved)

localize26.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (pow.f64 c 4) (pow.f64 b 7))
✓	0.4b	(/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) a))
✓	0.4b	(.f64 3/8 (.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a))
✓	0.4b	(*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 3))

series261.0ms (4.9%)

Counts

4 → 108

Calls

4 calls:

88.0ms	(*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 3))
70.0ms	(/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) a))
65.0ms	(.f64 3/8 (.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a))
38.0ms	(/.f64 (pow.f64 c 4) (pow.f64 b 7))

rewrite32.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

236×	`add-sqr-sqrt_binary64`
232×	`log1p-expm1-u_binary64`
232×	`expm1-log1p-u_binary64`
226×	`add-cbrt-cube_binary64`
223×	`add-cube-cbrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	55
1	514	55

Stop Event

1×	node limit

Counts

4 → 68

Calls

4 calls:

30.0ms	(/.f64 (pow.f64 c 4) (pow.f64 b 7))
30.0ms	(/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) a))
30.0ms	(.f64 3/8 (.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a))
30.0ms	(*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 3))

simplify55.0ms (1%)

Algorithm

1×	egg-herbie

Rules

560×	`associate-/r*_binary64`
525×	`associate-l_binary64`
476×	`associate-r_binary64`
269×	`associate-/r/_binary64`
262×	`associate-*l/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	1620
1	68	1620
2	222	1620
3	1096	1620
4	4924	1620

Stop Event

1×	node limit

Counts

176 → 73

prune159.0ms (3%)

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	71	2	73
Fresh	1	13	14
Picked	1	0	1
Done	0	1	1
Total	73	16	89

Error

0.8b

Counts

89 → 16

Alt Table

Status	Error	Program
	29.6b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3)))) b) (-.f64 (exp.f64 (log1p.f64 (/.f64 1/3 a))) 1))
▶	5.5b	(.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)))))) (/.f64 1/3 a))
	29.3b	(.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))
	5.5b	(.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))
	29.4b	(.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))
	7.5b	(.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))
	30.3b	(.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))
	7.1b	(-.f64 (.f64 (.f64 (-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) a)))) 1) 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)))))
	28.3b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))
	21.0b	(-.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)) (log.f64 (pow.f64 (pow.f64 (exp.f64 a) (.f64 (*.f64 c c) (pow.f64 b -3))) 3/8)))))
	28.3b	(.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))
	28.2b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3)))) b) (exp.f64 (log.f64 (/.f64 1/3 a))))
	28.2b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3)))) b) (cbrt.f64 (pow.f64 (/.f64 1/3 a) 3)))
	28.2b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -3)))) b) (pow.f64 (.f64 a 3) -1))
✓	5.3b	(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))))))
	28.3b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3)))) b) (pow.f64 (cbrt.f64 (/.f64 1/3 a)) 3))

Compiler

Compiled 4437 to 3022 computations (31.9% saved)

localize30.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.4b	(/.f64 1/3 a)
✓	0.4b	(.f64 (/.f64 -3/2 b) (.f64 c a))
✓	0.4b	(/.f64 (pow.f64 b 5) (pow.f64 a 3))
✓	0.4b	(*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 4))

series146.0ms (2.7%)

Counts

3 → 72

Calls

3 calls:

91.0ms	(*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 4))
40.0ms	(/.f64 (pow.f64 b 5) (pow.f64 a 3))
15.0ms	(.f64 (/.f64 -3/2 b) (.f64 c a))

rewrite29.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

208×	`add-sqr-sqrt_binary64`
205×	`log1p-expm1-u_binary64`
205×	`expm1-log1p-u_binary64`
197×	`add-cbrt-cube_binary64`
196×	`add-cube-cbrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	36
1	447	33

Stop Event

1×	node limit

Counts

3 → 86

Calls

3 calls:

28.0ms	(.f64 (/.f64 -3/2 b) (.f64 c a))
28.0ms	(/.f64 (pow.f64 b 5) (pow.f64 a 3))
28.0ms	(*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 4))

simplify74.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1164×	`associate-/l/_binary64`
445×	`unswap-sqr_binary64`
339×	`times-frac_binary64`
271×	`*-commutative_binary64`
251×	`associate-/l*_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	15	936
1	34	936
2	92	936
3	311	936
4	2056	936
5	3019	828
6	3087	828
7	3225	828
8	3387	828
9	3539	828

Stop Event

1×	node limit

Counts

158 → 89

prune214.0ms (4%)

Pruning

23 alts after pruning (22 fresh and 1 done)

	Pruned	Kept	Total
New	100	11	111
Fresh	3	11	14
Picked	1	0	1
Done	0	1	1
Total	104	23	127

Error

0.8b

Counts

127 → 23

Alt Table

Status	Error	Program
	5.7b	(.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))
	5.5b	(.f64 (-.f64 (.f64 c (.f64 -3/2 (/.f64 a 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))
	5.7b	(.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)))))) (cbrt.f64 (pow.f64 (/.f64 1/3 a) 3)))
	29.6b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3)))) b) (-.f64 (exp.f64 (log1p.f64 (/.f64 1/3 a))) 1))
	6.0b	(.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)))))) (expm1.f64 (log1p.f64 (/.f64 1/3 a))))
	29.3b	(.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))
	6.3b	(.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)))))) (exp.f64 (log.f64 (/.f64 1/3 a))))
	27.5b	(.f64 (-.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 -3/2 (/.f64 (.f64 c a) 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))
	29.4b	(.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))
	6.0b	(.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 (log.f64 (exp.f64 (.f64 (pow.f64 (*.f64 c a) 4) (pow.f64 b -7)))))))) (/.f64 1/3 a))
	30.3b	(.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))
	9.0b	(.f64 (-.f64 (log1p.f64 (expm1.f64 (.f64 -3/2 (/.f64 (.f64 c a) 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))
	28.3b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))
	21.0b	(-.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)) (log.f64 (pow.f64 (pow.f64 (exp.f64 a) (.f64 (*.f64 c c) (pow.f64 b -3))) 3/8)))))
	5.7b	(.f64 (-.f64 (cbrt.f64 (.f64 (pow.f64 (/.f64 -3/2 b) 3) (pow.f64 (.f64 c a) 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))
	28.2b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3)))) b) (exp.f64 (log.f64 (/.f64 1/3 a))))
	28.3b	(.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))
	5.5b	(.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)))))) (sqrt.f64 (/.f64 1/9 (*.f64 a a))))
	31.1b	(.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)))))) (log.f64 (exp.f64 (/.f64 1/3 a))))
	28.2b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3)))) b) (cbrt.f64 (pow.f64 (/.f64 1/3 a) 3)))
	28.2b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -3)))) b) (pow.f64 (.f64 a 3) -1))
✓	5.3b	(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))))))
	28.3b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3)))) b) (pow.f64 (cbrt.f64 (/.f64 1/3 a)) 3))

Compiler

Compiled 6950 to 4714 computations (32.2% saved)

regimes1.0s (19.3%)

Accuracy

Total 5.0b remaining (86.6%)

Threshold costs 0b (0%)

Counts

122 → 1

Compiler

Compiled 27196 to 19731 computations (27.4% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

28×	`*-commutative_binary64`
24×	`+-commutative_binary64`
21×	`sub-neg_binary64`
21×	`neg-sub0_binary64`
21×	`neg-mul-1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	36	69
1	53	67
2	72	67
3	99	67
4	139	67
5	170	67
6	198	67
7	215	67
8	223	67
9	225	67

Stop Event

1×

saturated

end595.0ms (11.1%)

Compiler: Compiled 1079 to 782 computations (27.5% saved)

Details

analyze350.0ms (6.5%)

sample1.5s (28.3%)

simplify31.0ms (0.6%)

prune4.0ms (0.1%)

localize11.0ms (0.2%)

series95.0ms (1.8%)

rewrite67.0ms (1.3%)

simplify38.0ms (0.7%)

prune133.0ms (2.5%)

localize27.0ms (0.5%)

series217.0ms (4%)

rewrite34.0ms (0.6%)

simplify7.0ms (0.1%)

prune175.0ms (3.3%)

localize26.0ms (0.5%)

series261.0ms (4.9%)

rewrite32.0ms (0.6%)

simplify55.0ms (1%)

prune159.0ms (3%)

localize30.0ms (0.6%)

series146.0ms (2.7%)

rewrite29.0ms (0.5%)

simplify74.0ms (1.4%)

prune214.0ms (4%)

regimes1.0s (19.3%)

simplify5.0ms (0.1%)

end595.0ms (11.1%)

Profiling