Details

analyze355.0ms (6.9%)

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)

sample2.2s (42.2%)

Results

1.1s	4045×	body	256	valid
537.0ms	1464×	body	512	valid
405.0ms	2747×	body	128	valid
123.0ms	849×	body	128	invalid

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

prune6.0ms (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

52.5b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	52.5b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3)))) b) (/.f64 1/3 a))
	52.5b	(/.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
✓	0.2b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3)))) b) (/.f64 1/3 a))
✓	0.3b	(.f64 a (.f64 c -3))
✓	0.4b	(/.f64 1/3 a)
✓	29.5b	(-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -3)))) b)

series92.0ms (1.8%)

Counts

4 → 64

Calls

4 calls:

53.0ms	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3)))) b) (/.f64 1/3 a))
33.0ms	(-.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)

rewrite68.0ms (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:

65.0ms	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3)))) b) (/.f64 1/3 a))
65.0ms	(.f64 a (.f64 c -3))
65.0ms	(/.f64 1/3 a)
65.0ms	(-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -3)))) b)

simplify39.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

744×	`times-frac_binary64`
458×	`associate-/l*_binary64`
391×	`associate-/r*_binary64`
312×	`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

prune131.0ms (2.5%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	182	10	192
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	184	10	194

Error

0.2b

Counts

194 → 10

Alt Table

Status	Error	Program
	52.2b	(.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 -1 b b)) (/.f64 1/3 a))
	2.4b	(.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))
	52.3b	(.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 (sqrt.f64 b)) (sqrt.f64 b) b)) (/.f64 1/3 a))
	2.6b	(.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 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) -27/16))) (/.f64 1/3 a))
	52.3b	(.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))
▶	1.8b	(+.f64 (fma.f64 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a)) -9/16 (fma.f64 -1/2 (/.f64 c b) (/.f64 (.f64 (.f64 c c) -3/8) (/.f64 (pow.f64 b 3) a)))) (.f64 (.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 3)) -135/128))
	52.5b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3)))) b) (cbrt.f64 (pow.f64 (/.f64 1/3 a) 3)))
	52.5b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -3)))) b) (pow.f64 (.f64 a 3) -1))
	52.5b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3)))) b) (pow.f64 (cbrt.f64 (/.f64 1/3 a)) 3))
	52.6b	(.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))

Compiler

Compiled 5259 to 3362 computations (36.1% saved)

localize24.0ms (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) (pow.f64 b 5))
✓	0.4b	(/.f64 (.f64 (.f64 c c) -3/8) (/.f64 (pow.f64 b 3) a))
✓	0.4b	(*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 3))

series220.0ms (4.3%)

Counts

4 → 72

Calls

4 calls:

84.0ms	(*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 3))
64.0ms	(/.f64 (.f64 (.f64 c c) -3/8) (/.f64 (pow.f64 b 3) a))
38.0ms	(/.f64 (pow.f64 c 4) (pow.f64 b 7))
34.0ms	(/.f64 (pow.f64 c 3) (pow.f64 b 5))

rewrite40.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

225×	`add-sqr-sqrt_binary64`
222×	`log1p-expm1-u_binary64`
222×	`expm1-log1p-u_binary64`
216×	`add-cbrt-cube_binary64`
213×	`add-cube-cbrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	52
1	492	52

Stop Event

1×	node limit

Counts

4 → 114

Calls

4 calls:

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

simplify31.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

869×	`associate-/l*_binary64`
436×	`associate-/r*_binary64`
423×	`associate-l_binary64`
374×	`associate-r_binary64`
230×	`associate-*l/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	1152
1	51	1152
2	174	1152
3	881	1152

Stop Event

1×	node limit

Counts

186 → 117

prune189.0ms (3.7%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	117	0	117
Fresh	0	9	9
Picked	0	1	1
Done	0	0	0
Total	117	10	127

Error

0.2b

Counts

127 → 10

Alt Table

Status	Error	Program
	52.2b	(.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 -1 b b)) (/.f64 1/3 a))
▶	2.4b	(.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))
	52.3b	(.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 (sqrt.f64 b)) (sqrt.f64 b) b)) (/.f64 1/3 a))
	2.6b	(.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 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) -27/16))) (/.f64 1/3 a))
	52.3b	(.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))
✓	1.8b	(+.f64 (fma.f64 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a)) -9/16 (fma.f64 -1/2 (/.f64 c b) (/.f64 (.f64 (.f64 c c) -3/8) (/.f64 (pow.f64 b 3) a)))) (.f64 (.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 3)) -135/128))
	52.5b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3)))) b) (cbrt.f64 (pow.f64 (/.f64 1/3 a) 3)))
	52.5b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -3)))) b) (pow.f64 (.f64 a 3) -1))
	52.5b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3)))) b) (pow.f64 (cbrt.f64 (/.f64 1/3 a)) 3))
	52.6b	(.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))

Compiler

Compiled 6196 to 4038 computations (34.8% saved)

localize30.0ms (0.6%)

Local error

Found 4 expressions with local error:

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

series168.0ms (3.2%)

Counts

3 → 0

Calls

3 calls:

85.0ms	(/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7))
65.0ms	(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))
18.0ms	(*.f64 (pow.f64 c 4) (pow.f64 a 4))

rewrite63.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

175×	`log1p-expm1-u_binary64`
175×	`expm1-log1p-u_binary64`
172×	`add-sqr-sqrt_binary64`
167×	`add-cbrt-cube_binary64`
166×	`add-cube-cbrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	33
1	394	33
2	4819	33

Stop Event

1×	node limit

Counts

3 → 108

Calls

3 calls:

61.0ms	(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))
61.0ms	(/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7))
61.0ms	(*.f64 (pow.f64 c 4) (pow.f64 a 4))

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

108 → 108

prune224.0ms (4.3%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	126	4	130
Fresh	1	7	8
Picked	1	0	1
Done	0	1	1
Total	128	12	140

Error

0.2b

Counts

140 → 12

Alt Table

Status	Error	Program
	52.5b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3)))) b) (cbrt.f64 (pow.f64 (/.f64 1/3 a) 3)))
	3.1b	(.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))))))) (pow.f64 (cbrt.f64 (/.f64 1/3 a)) 3))
	52.5b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -3)))) b) (pow.f64 (.f64 a 3) -1))
	2.4b	(.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))))))) (pow.f64 (sqrt.f64 (/.f64 1/3 a)) 2))
	52.5b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3)))) b) (pow.f64 (cbrt.f64 (/.f64 1/3 a)) 3))
▶	2.3b	(.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))))))) (pow.f64 (.f64 a 3) -1))
	52.6b	(.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))
	2.5b	(.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))))))) (cbrt.f64 (pow.f64 (/.f64 1/3 a) 3)))
	52.2b	(.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 -1 b b)) (/.f64 1/3 a))
	52.3b	(.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 (sqrt.f64 b)) (sqrt.f64 b) b)) (/.f64 1/3 a))
	52.3b	(.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))
✓	1.8b	(+.f64 (fma.f64 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a)) -9/16 (fma.f64 -1/2 (/.f64 c b) (/.f64 (.f64 (.f64 c c) -3/8) (/.f64 (pow.f64 b 3) a)))) (.f64 (.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 3)) -135/128))

Compiler

Compiled 8274 to 5819 computations (29.7% saved)

localize33.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.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))))))) (pow.f64 (.f64 a 3) -1))
	0.4b	(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))
	0.4b	(/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7))
	0.4b	(*.f64 (pow.f64 c 4) (pow.f64 a 4))

series63.0ms (1.2%)

Counts

1 → 36

Calls

1 calls:

63.0ms

(*.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))))))) (pow.f64 (*.f64 a 3) -1))

rewrite34.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

435×	`log1p-expm1-u_binary64`
435×	`expm1-log1p-u_binary64`
407×	`add-log-exp_binary64`
397×	`pow1_binary64`
148×	`unpow-prod-down_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	69
1	968	69

Stop Event

1×	node limit

Counts

1 → 13

Calls

1 calls:

33.0ms

(*.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))))))) (pow.f64 (*.f64 a 3) -1))

simplify44.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

953×	`fma-neg_binary64`
390×	`distribute-rgt-neg-in_binary64`
285×	`unswap-sqr_binary64`
262×	`distribute-neg-frac_binary64`
227×	`times-frac_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	48	1446
1	152	1446
2	521	1392
3	2938	1392

Stop Event

1×	node limit

Counts

49 → 26

prune229.0ms (4.4%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	132	2	134
Fresh	1	9	10
Picked	0	1	1
Done	0	1	1
Total	133	13	146

Error

0.2b

Counts

146 → 13

Alt Table

Status	Error	Program
	2.3b	(neg.f64 (.f64 (fma.f64 3/2 (/.f64 c (/.f64 b a)) (fma.f64 9/8 (.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b -3)) (fma.f64 405/128 (.f64 (pow.f64 (.f64 c a) 4) (pow.f64 b -7)) (/.f64 (.f64 27/16 (pow.f64 (.f64 c a) 3)) (pow.f64 b 5))))) (/.f64 1 (.f64 a 3))))
	52.5b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3)))) b) (cbrt.f64 (pow.f64 (/.f64 1/3 a) 3)))
	3.1b	(.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))))))) (pow.f64 (cbrt.f64 (/.f64 1/3 a)) 3))
	52.5b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3)))) b) (pow.f64 (cbrt.f64 (/.f64 1/3 a)) 3))
✓	2.3b	(.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))))))) (pow.f64 (.f64 a 3) -1))
	52.6b	(.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))
	2.5b	(.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))))))) (cbrt.f64 (pow.f64 (/.f64 1/3 a) 3)))
	52.2b	(.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 -1 b b)) (/.f64 1/3 a))
	52.3b	(.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 (sqrt.f64 b)) (sqrt.f64 b) b)) (/.f64 1/3 a))
	52.3b	(.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))
✓	1.8b	(+.f64 (fma.f64 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a)) -9/16 (fma.f64 -1/2 (/.f64 c b) (/.f64 (.f64 (.f64 c c) -3/8) (/.f64 (pow.f64 b 3) a)))) (.f64 (.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 3)) -135/128))
	2.6b	(cbrt.f64 (pow.f64 (.f64 (neg.f64 (fma.f64 3/2 (/.f64 c (/.f64 b a)) (fma.f64 9/8 (.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b -3)) (fma.f64 405/128 (.f64 (pow.f64 (.f64 c a) 4) (pow.f64 b -7)) (/.f64 (.f64 27/16 (pow.f64 (.f64 c a) 3)) (pow.f64 b 5)))))) (/.f64 1 (.f64 a 3))) 3))
	52.5b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -3)))) b) (pow.f64 (.f64 a 3) -1))

Compiler

Compiled 7821 to 5464 computations (30.1% saved)

regimes510.0ms (9.9%)

Accuracy

Total 1.2b remaining (84.8%)

Threshold costs 0b (0%)

Counts

69 → 1

Compiler

Compiled 14706 to 10811 computations (26.5% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	61
1	34	61

Stop Event

1×

saturated

end347.0ms (6.7%)

Compiler: Compiled 621 to 449 computations (27.7% saved)

Details

analyze355.0ms (6.9%)

sample2.2s (42.2%)

simplify31.0ms (0.6%)

prune6.0ms (0.1%)

localize9.0ms (0.2%)

series92.0ms (1.8%)

rewrite68.0ms (1.3%)

simplify39.0ms (0.7%)

prune131.0ms (2.5%)

localize24.0ms (0.5%)

series220.0ms (4.3%)

rewrite40.0ms (0.8%)

simplify31.0ms (0.6%)

prune189.0ms (3.7%)

localize30.0ms (0.6%)

series168.0ms (3.2%)

rewrite63.0ms (1.2%)

simplify7.0ms (0.1%)

prune224.0ms (4.3%)

localize33.0ms (0.6%)

series63.0ms (1.2%)

rewrite34.0ms (0.7%)

simplify44.0ms (0.9%)

prune229.0ms (4.4%)

regimes510.0ms (9.9%)

simplify2.0ms (0%)

end347.0ms (6.7%)

Profiling