Details

analyze364.0ms (7.2%)

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)

sample2.3s (45.3%)

Results

1.1s	3946×	body	256	valid
591.0ms	1498×	body	512	valid
432.0ms	2812×	body	128	valid
119.0ms	823×	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

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

53.6b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	53.6b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3)))) b) (/.f64 1/3 a))
	53.7b	(/.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)

localize10.0ms (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))
✓	0.3b	(/.f64 1/3 a)
✓	28.5b	(-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -3)))) b)

series93.0ms (1.8%)

Counts

4 → 64

Calls

4 calls:

51.0ms	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3)))) b) (/.f64 1/3 a))
34.0ms	(-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -3)))) b)
7.0ms	(.f64 a (.f64 c -3))
1.0ms	(/.f64 1/3 a)

rewrite65.0ms (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:

62.0ms	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3)))) b) (/.f64 1/3 a))
62.0ms	(.f64 a (.f64 c -3))
62.0ms	(/.f64 1/3 a)
62.0ms	(-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -3)))) b)

simplify36.0ms (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 (2.6%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	185	7	192
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	187	7	194

Error

0.2b

Counts

194 → 7

Alt Table

Status	Error	Program
	0.8b	(.f64 (-.f64 (fma.f64 -3/2 (.f64 (/.f64 c b) a) (/.f64 -9/8 (/.f64 (pow.f64 b 3) (.f64 (.f64 c a) (.f64 c a))))) (fma.f64 27/16 (.f64 (/.f64 (pow.f64 c 3) (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))
	1.0b	(.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))
	53.6b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3)))) b) (pow.f64 (cbrt.f64 (/.f64 1/3 a)) 3))
	53.6b	(.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))
	53.6b	(.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)))))
	53.2b	(.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 (sqrt.f64 b)) (sqrt.f64 b) b)) (/.f64 1/3 a))
▶	0.5b	(+.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 5099 to 3254 computations (36.2% saved)

localize26.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (pow.f64 c 3) (pow.f64 b 5))
✓	0.3b	(.f64 (.f64 c c) -3/8)
✓	0.4b	(/.f64 (.f64 (.f64 c c) -3/8) (/.f64 (pow.f64 b 3) a))
✓	1.0b	(*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 3))

series191.0ms (3.8%)

Counts

4 → 84

Calls

4 calls:

91.0ms	(*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 3))
63.0ms	(/.f64 (.f64 (.f64 c c) -3/8) (/.f64 (pow.f64 b 3) a))
35.0ms	(/.f64 (pow.f64 c 3) (pow.f64 b 5))
2.0ms	(.f64 (.f64 c c) -3/8)

rewrite37.0ms (0.7%)

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	49
1	492	49

Stop Event

1×	node limit

Counts

4 → 101

Calls

4 calls:

35.0ms	(/.f64 (pow.f64 c 3) (pow.f64 b 5))
35.0ms	(.f64 (.f64 c c) -3/8)
35.0ms	(/.f64 (.f64 (.f64 c c) -3/8) (/.f64 (pow.f64 b 3) a))
35.0ms	(*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 3))

simplify35.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

897×	`associate-/l*_binary64`
450×	`associate-l_binary64`
439×	`associate-/r*_binary64`
387×	`associate-r_binary64`
223×	`associate-*l/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	1236
1	53	1236
2	177	1236
3	886	1236

Stop Event

1×	node limit

Counts

185 → 106

prune183.0ms (3.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	106	0	106
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	106	7	113

Error

0.2b

Counts

113 → 7

Alt Table

Status	Error	Program
▶	0.8b	(.f64 (-.f64 (fma.f64 -3/2 (.f64 (/.f64 c b) a) (/.f64 -9/8 (/.f64 (pow.f64 b 3) (.f64 (.f64 c a) (.f64 c a))))) (fma.f64 27/16 (.f64 (/.f64 (pow.f64 c 3) (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))
	1.0b	(.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))
	53.6b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3)))) b) (pow.f64 (cbrt.f64 (/.f64 1/3 a)) 3))
	53.6b	(.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))
	53.6b	(.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)))))
	53.2b	(.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 (sqrt.f64 b)) (sqrt.f64 b) b)) (/.f64 1/3 a))
✓	0.5b	(+.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 5478 to 3593 computations (34.4% saved)

localize29.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(.f64 (-.f64 (fma.f64 -3/2 (.f64 (/.f64 c b) a) (/.f64 -9/8 (/.f64 (pow.f64 b 3) (.f64 (.f64 c a) (.f64 c a))))) (fma.f64 27/16 (.f64 (/.f64 (pow.f64 c 3) (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))
✓	0.4b	(/.f64 (pow.f64 b 3) (.f64 (.f64 c a) (*.f64 c a)))
✓	0.4b	(.f64 (.f64 c a) (*.f64 c a))
✓	1.1b	(*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 4))

series256.0ms (5%)

Counts

4 → 132

Calls

4 calls:

92.0ms	(*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 4))
87.0ms	(/.f64 (pow.f64 b 3) (.f64 (.f64 c a) (*.f64 c a)))
65.0ms	(.f64 (-.f64 (fma.f64 -3/2 (.f64 (/.f64 c b) a) (/.f64 -9/8 (/.f64 (pow.f64 b 3) (.f64 (.f64 c a) (.f64 c a))))) (fma.f64 27/16 (.f64 (/.f64 (pow.f64 c 3) (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))
12.0ms	(.f64 (.f64 c a) (*.f64 c a))

rewrite39.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

375×	`log1p-expm1-u_binary64`
375×	`expm1-log1p-u_binary64`
360×	`add-log-exp_binary64`
359×	`add-exp-log_binary64`
339×	`pow1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	36	108
1	817	99

Stop Event

1×	node limit

Counts

4 → 57

Calls

4 calls:

38.0ms	(.f64 (-.f64 (fma.f64 -3/2 (.f64 (/.f64 c b) a) (/.f64 -9/8 (/.f64 (pow.f64 b 3) (.f64 (.f64 c a) (.f64 c a))))) (fma.f64 27/16 (.f64 (/.f64 (pow.f64 c 3) (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))
38.0ms	(/.f64 (pow.f64 b 3) (.f64 (.f64 c a) (*.f64 c a)))
38.0ms	(.f64 (.f64 c a) (*.f64 c a))
38.0ms	(*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 4))

simplify64.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

953×	`fma-neg_binary64`
433×	`unswap-sqr_binary64`
312×	`times-frac_binary64`
256×	`associate-/l*_binary64`
216×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	53	2838
1	164	2838
2	589	2784
3	3404	2784

Stop Event

1×	node limit

Counts

189 → 77

prune139.0ms (2.7%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	75	2	77
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	75	9	84

Error

0.1b

Counts

84 → 9

Alt Table

Status	Error	Program
▶	0.7b	(/.f64 (.f64 (-.f64 (fma.f64 -3/2 (.f64 a (/.f64 c b)) (.f64 (/.f64 -9/8 (pow.f64 b 3)) (pow.f64 (.f64 c a) 2))) (fma.f64 27/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5)) (.f64 (/.f64 (pow.f64 (*.f64 c a) 4) (pow.f64 b 7)) 405/128))) 1/3) a)
✓	0.8b	(.f64 (-.f64 (fma.f64 -3/2 (.f64 (/.f64 c b) a) (/.f64 -9/8 (/.f64 (pow.f64 b 3) (.f64 (.f64 c a) (.f64 c a))))) (fma.f64 27/16 (.f64 (/.f64 (pow.f64 c 3) (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))
	2.0b	(pow.f64 (cbrt.f64 (.f64 (-.f64 (fma.f64 -3/2 (.f64 a (/.f64 c b)) (.f64 (/.f64 -9/8 (pow.f64 b 3)) (pow.f64 (.f64 c a) 2))) (fma.f64 27/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5)) (.f64 (/.f64 (pow.f64 (*.f64 c a) 4) (pow.f64 b 7)) 405/128))) (/.f64 1/3 a))) 3)
	1.0b	(.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))
	53.6b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3)))) b) (pow.f64 (cbrt.f64 (/.f64 1/3 a)) 3))
	53.6b	(.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))
	53.6b	(.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)))))
	53.2b	(.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 (sqrt.f64 b)) (sqrt.f64 b) b)) (/.f64 1/3 a))
✓	0.5b	(+.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 4202 to 2792 computations (33.6% saved)

localize29.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(.f64 (-.f64 (fma.f64 -3/2 (.f64 a (/.f64 c b)) (.f64 (/.f64 -9/8 (pow.f64 b 3)) (pow.f64 (.f64 c a) 2))) (fma.f64 27/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5)) (.f64 (/.f64 (pow.f64 (*.f64 c a) 4) (pow.f64 b 7)) 405/128))) 1/3)
✓	0.4b	(pow.f64 (*.f64 c a) 2)
✓	0.7b	(pow.f64 (*.f64 c a) 3)
✓	0.8b	(pow.f64 (*.f64 c a) 4)

series86.0ms (1.7%)

Counts

4 → 108

Calls

4 calls:

53.0ms	(.f64 (-.f64 (fma.f64 -3/2 (.f64 a (/.f64 c b)) (.f64 (/.f64 -9/8 (pow.f64 b 3)) (pow.f64 (.f64 c a) 2))) (fma.f64 27/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5)) (.f64 (/.f64 (pow.f64 (*.f64 c a) 4) (pow.f64 b 7)) 405/128))) 1/3)
13.0ms	(pow.f64 (*.f64 c a) 3)
13.0ms	(pow.f64 (*.f64 c a) 4)
6.0ms	(pow.f64 (*.f64 c a) 2)

rewrite39.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

327×	`log1p-expm1-u_binary64`
327×	`expm1-log1p-u_binary64`
317×	`add-cbrt-cube_binary64`
311×	`add-log-exp_binary64`
310×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	84
1	722	84

Stop Event

1×	node limit

Counts

4 → 60

Calls

4 calls:

38.0ms	(.f64 (-.f64 (fma.f64 -3/2 (.f64 a (/.f64 c b)) (.f64 (/.f64 -9/8 (pow.f64 b 3)) (pow.f64 (.f64 c a) 2))) (fma.f64 27/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5)) (.f64 (/.f64 (pow.f64 (*.f64 c a) 4) (pow.f64 b 7)) 405/128))) 1/3)
38.0ms	(pow.f64 (*.f64 c a) 2)
38.0ms	(pow.f64 (*.f64 c a) 3)
38.0ms	(pow.f64 (*.f64 c a) 4)

simplify55.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

929×	`fma-neg_binary64`
371×	`unswap-sqr_binary64`
269×	`times-frac_binary64`
218×	`associate-r_binary64`
217×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	49	2295
1	152	2295
2	546	2241
3	3240	2241

Stop Event

1×	node limit

Counts

168 → 76

prune123.0ms (2.4%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	74	2	76
Fresh	2	4	6
Picked	0	1	1
Done	1	1	2
Total	77	8	85

Error

0.1b

Counts

85 → 8

Alt Table

Status	Error	Program
	0.8b	(/.f64 (neg.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 3/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 135/128 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7))) (.f64 9/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))) a)
	53.6b	(.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))
	7.1b	(/.f64 (log1p.f64 (expm1.f64 (.f64 (-.f64 (fma.f64 -3/2 (.f64 a (/.f64 c b)) (.f64 (pow.f64 (.f64 c a) 2) (.f64 -9/8 (pow.f64 b -3)))) (fma.f64 27/16 (.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b -5)) (.f64 (.f64 (pow.f64 (.f64 c a) 4) (pow.f64 b -7)) 405/128))) 1/3))) a)
✓	0.7b	(/.f64 (.f64 (-.f64 (fma.f64 -3/2 (.f64 a (/.f64 c b)) (.f64 (/.f64 -9/8 (pow.f64 b 3)) (pow.f64 (.f64 c a) 2))) (fma.f64 27/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5)) (.f64 (/.f64 (pow.f64 (*.f64 c a) 4) (pow.f64 b 7)) 405/128))) 1/3) a)
	53.6b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3)))) b) (pow.f64 (cbrt.f64 (/.f64 1/3 a)) 3))
	53.6b	(.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)))))
	53.2b	(.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 (sqrt.f64 b)) (sqrt.f64 b) b)) (/.f64 1/3 a))
✓	0.5b	(+.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 3744 to 2343 computations (37.4% saved)

regimes453.0ms (8.9%)

Accuracy

Total 1.3b remaining (84.8%)

Threshold costs 0b (0%)

Counts

57 → 1

Compiler

Compiled 11279 to 8142 computations (27.8% 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

end259.0ms (5.1%)

Compiler: Compiled 398 to 282 computations (29.1% saved)

Details

analyze364.0ms (7.2%)

sample2.3s (45.3%)

simplify31.0ms (0.6%)

prune4.0ms (0.1%)

localize10.0ms (0.2%)

series93.0ms (1.8%)

rewrite65.0ms (1.3%)

simplify36.0ms (0.7%)

prune131.0ms (2.6%)

localize26.0ms (0.5%)

series191.0ms (3.8%)

rewrite37.0ms (0.7%)

simplify35.0ms (0.7%)

prune183.0ms (3.6%)

localize29.0ms (0.6%)

series256.0ms (5%)

rewrite39.0ms (0.8%)

simplify64.0ms (1.3%)

prune139.0ms (2.7%)

localize29.0ms (0.6%)

series86.0ms (1.7%)

rewrite39.0ms (0.8%)

simplify55.0ms (1.1%)

prune123.0ms (2.4%)

regimes453.0ms (8.9%)

simplify2.0ms (0%)

end259.0ms (5.1%)

Profiling