Details

analyze357.0ms (7.4%)

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 (35.8%)

Results

772.0ms	3007×	body	256	valid
769.0ms	5247×	body	128	valid
120.0ms	886×	body	128	invalid
1.0ms	2×	body	512	valid

Compiler

Compiled 106 to 76 computations (28.3% saved)

simplify32.0ms (0.7%)

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

44.3b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	44.3b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3)))) b) (/.f64 1/3 a))
	44.3b	(/.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)

localize9.0ms (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))
✓	0.3b	(/.f64 1/3 a)
✓	39.7b	(-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -3)))) b)

series96.0ms (2%)

Counts

4 → 64

Calls

4 calls:

54.0ms	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3)))) b) (/.f64 1/3 a))
35.0ms	(-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -3)))) b)
5.0ms	(.f64 a (.f64 c -3))
1.0ms	(/.f64 1/3 a)

rewrite68.0ms (1.4%)

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

simplify38.0ms (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

prune138.0ms (2.9%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	178	14	192
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	180	14	194

Error

0.4b

Counts

194 → 14

Alt Table

Status	Error	Program
	44.2b	(.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))
	4.5b	(.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))
	54.7b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3)))) b) (log.f64 (exp.f64 (/.f64 1/3 a))))
	3.2b	(-.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)))))
	44.3b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -3)))) b) (pow.f64 (.f64 a 3) -1))
▶	3.2b	(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))))))
	44.4b	(.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 -1 b b)) (/.f64 1/3 a))
	3.6b	(.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))
	44.3b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3)))) b) (expm1.f64 (log1p.f64 (/.f64 1/3 a))))
	44.4b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3)))) b) (exp.f64 (log.f64 (/.f64 1/3 a))))
	44.3b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3)))) b) (pow.f64 (sqrt.f64 (/.f64 1/3 a)) 2))
	44.3b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3)))) b) (pow.f64 (cbrt.f64 (/.f64 1/3 a)) 3))
	44.4b	(.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))
	44.3b	(.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)))))

Compiler

Compiled 5445 to 3503 computations (35.7% saved)

localize29.0ms (0.6%)

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

series234.0ms (4.9%)

Counts

4 → 0

Calls

4 calls:

83.0ms	(/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))
80.0ms	(/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))
55.0ms	(/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))
16.0ms	(*.f64 (pow.f64 c 4) (pow.f64 a 3))

rewrite38.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

225×	`log1p-expm1-u_binary64`
225×	`expm1-log1p-u_binary64`
224×	`add-sqr-sqrt_binary64`
216×	`add-cbrt-cube_binary64`
215×	`add-cube-cbrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	55
1	515	55

Stop Event

1×	node limit

Counts

4 → 72

Calls

4 calls:

36.0ms	(*.f64 (pow.f64 c 4) (pow.f64 a 3))
36.0ms	(/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))
36.0ms	(/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))
36.0ms	(/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))

simplify8.0ms (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

prune151.0ms (3.1%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	72	0	72
Fresh	0	13	13
Picked	0	1	1
Done	0	0	0
Total	72	14	86

Error

0.4b

Counts

86 → 14

Alt Table

Status	Error	Program
	44.2b	(.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))
	4.5b	(.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))
	54.7b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3)))) b) (log.f64 (exp.f64 (/.f64 1/3 a))))
▶	3.2b	(-.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)))))
	44.3b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -3)))) b) (pow.f64 (.f64 a 3) -1))
✓	3.2b	(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))))))
	44.4b	(.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 -1 b b)) (/.f64 1/3 a))
	3.6b	(.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))
	44.3b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3)))) b) (expm1.f64 (log1p.f64 (/.f64 1/3 a))))
	44.4b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3)))) b) (exp.f64 (log.f64 (/.f64 1/3 a))))
	44.3b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3)))) b) (pow.f64 (sqrt.f64 (/.f64 1/3 a)) 2))
	44.3b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3)))) b) (pow.f64 (cbrt.f64 (/.f64 1/3 a)) 3))
	44.4b	(.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))
	44.3b	(.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)))))

Compiler

Compiled 4383 to 3162 computations (27.9% saved)

localize26.0ms (0.5%)

Local error

Found 4 expressions with local error:

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

series210.0ms (4.4%)

Counts

4 → 96

Calls

4 calls:

82.0ms	(*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 3))
65.0ms	(/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) a))
35.0ms	(/.f64 (pow.f64 c 4) (pow.f64 b 7))
27.0ms	(/.f64 (*.f64 c c) (pow.f64 b 3))

rewrite41.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

205×	`add-sqr-sqrt_binary64`
203×	`log1p-expm1-u_binary64`
203×	`expm1-log1p-u_binary64`
197×	`add-cbrt-cube_binary64`
194×	`add-cube-cbrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	49
1	449	49

Stop Event

1×	node limit

Counts

4 → 107

Calls

4 calls:

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

simplify61.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

855×	`associate-/l*_binary64`
425×	`associate-l_binary64`
422×	`associate-/r*_binary64`
356×	`associate-r_binary64`
197×	`associate-/r/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	1284
1	59	1284
2	177	1284
3	812	1284
4	4879	1284
5	4981	1284

Stop Event

1×	node limit

Counts

203 → 112

prune216.0ms (4.5%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	112	0	112
Fresh	0	12	12
Picked	0	1	1
Done	0	1	1
Total	112	14	126

Error

0.4b

Counts

126 → 14

Alt Table

Status	Error	Program
	44.2b	(.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))
	4.5b	(.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))
	54.7b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3)))) b) (log.f64 (exp.f64 (/.f64 1/3 a))))
✓	3.2b	(-.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)))))
	44.3b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -3)))) b) (pow.f64 (.f64 a 3) -1))
✓	3.2b	(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))))))
	44.4b	(.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 -1 b b)) (/.f64 1/3 a))
▶	3.6b	(.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))
	44.3b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3)))) b) (expm1.f64 (log1p.f64 (/.f64 1/3 a))))
	44.4b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3)))) b) (exp.f64 (log.f64 (/.f64 1/3 a))))
	44.3b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3)))) b) (pow.f64 (sqrt.f64 (/.f64 1/3 a)) 2))
	44.3b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3)))) b) (pow.f64 (cbrt.f64 (/.f64 1/3 a)) 3))
	44.4b	(.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))
	44.3b	(.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)))))

Compiler

Compiled 6055 to 4057 computations (33% saved)

localize32.0ms (0.7%)

Local error

Found 4 expressions with local error:

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

series190.0ms (4%)

Counts

3 → 36

Calls

3 calls:

87.0ms

(/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7))

66.0ms

(*.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))))))) (/.f64 1/3 a))

37.0ms

(*.f64 (pow.f64 c 4) (pow.f64 a 4))

rewrite42.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

431×	`log1p-expm1-u_binary64`
431×	`expm1-log1p-u_binary64`
404×	`add-log-exp_binary64`
391×	`pow1_binary64`
133×	`unpow-prod-down_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	86
1	954	86

Stop Event

1×	node limit

Counts

3 → 47

Calls

3 calls:

41.0ms

(*.f64 (pow.f64 c 4) (pow.f64 a 4))

41.0ms

(*.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))))))) (/.f64 1/3 a))

41.0ms

(/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7))

simplify45.0ms (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

83 → 60

prune138.0ms (2.9%)

Pruning

18 alts after pruning (16 fresh and 2 done)

	Pruned	Kept	Total
New	76	6	82
Fresh	1	10	11
Picked	0	1	1
Done	1	1	2
Total	78	18	96

Error

0.4b

Counts

96 → 18

Alt Table

Status	Error	Program
	44.3b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -3)))) b) (pow.f64 (.f64 a 3) -1))
	3.8b	(.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)))
✓	3.2b	(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))))))
	44.3b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3)))) b) (pow.f64 (sqrt.f64 (/.f64 1/3 a)) 2))
	4.4b	(.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))))))) (expm1.f64 (log1p.f64 (/.f64 1/3 a))))
	44.3b	(.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)))))
	4.3b	(pow.f64 (cbrt.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 (/.f64 (pow.f64 (.f64 c a) 4) (pow.f64 b 7)) 405/128 (/.f64 (.f64 27/16 (pow.f64 (.f64 c a) 3)) (pow.f64 b 5)))))) (/.f64 1/3 a))) 3)
	44.4b	(.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 -1 b b)) (/.f64 1/3 a))
	3.4b	(/.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 (/.f64 (pow.f64 (.f64 c a) 4) (pow.f64 b 7)) 405/128 (/.f64 (.f64 27/16 (pow.f64 (.f64 c a) 3)) (pow.f64 b 5)))))) 1/3) a)
✓	3.6b	(.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))
	44.2b	(.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))
	44.3b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3)))) b) (expm1.f64 (log1p.f64 (/.f64 1/3 a))))
	44.4b	(.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 (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 (pow.f64 (/.f64 1/3 a) 3) 1/3))
	54.7b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3)))) b) (log.f64 (exp.f64 (/.f64 1/3 a))))
	44.3b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3)))) b) (pow.f64 (cbrt.f64 (/.f64 1/3 a)) 3))
	44.4b	(.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))
	3.5b	(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 (/.f64 (pow.f64 (.f64 c a) 4) (pow.f64 b 7)) 405/128 (/.f64 (.f64 27/16 (pow.f64 (.f64 c a) 3)) (pow.f64 b 5))))) (/.f64 1/3 a)))

Compiler

Compiled 4783 to 3365 computations (29.6% saved)

regimes364.0ms (7.6%)

Accuracy

Total 2.7b remaining (86.9%)

Threshold costs 0b (0%)

Counts

50 → 1

Compiler

Compiled 8851 to 6366 computations (28.1% saved)

simplify6.0ms (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

end510.0ms (10.6%)

Compiler: Compiled 776 to 570 computations (26.5% saved)

Details

analyze357.0ms (7.4%)

sample1.7s (35.8%)

simplify32.0ms (0.7%)

prune4.0ms (0.1%)

localize9.0ms (0.2%)

series96.0ms (2%)

rewrite68.0ms (1.4%)

simplify38.0ms (0.8%)

prune138.0ms (2.9%)

localize29.0ms (0.6%)

series234.0ms (4.9%)

rewrite38.0ms (0.8%)

simplify8.0ms (0.2%)

prune151.0ms (3.1%)

localize26.0ms (0.5%)

series210.0ms (4.4%)

rewrite41.0ms (0.9%)

simplify61.0ms (1.3%)

prune216.0ms (4.5%)

localize32.0ms (0.7%)

series190.0ms (4%)

rewrite42.0ms (0.9%)

simplify45.0ms (0.9%)

prune138.0ms (2.9%)

regimes364.0ms (7.6%)

simplify6.0ms (0.1%)

end510.0ms (10.6%)

Profiling