Details

analyze355.0ms (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)

sample1.8s (36.2%)

Results

806.0ms	5221×	body	128	valid
803.0ms	3033×	body	256	valid
153.0ms	926×	body	128	invalid
1.0ms	2×	body	512	valid

Compiler

Compiled 106 to 76 computations (28.3% saved)

simplify33.0ms (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

43.2b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	43.3b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3)))) b) (/.f64 1/3 a))
	43.3b	(/.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 (-.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)
✓	37.5b	(-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -3)))) b)

series89.0ms (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))
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 (0.8%)

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

prune135.0ms (2.7%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	180	12	192
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	182	12	194

Error

0.5b

Counts

194 → 12

Alt Table

Status	Error	Program
	43.3b	(.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))
▶	2.3b	(+.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))
	43.6b	(.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))
	2.6b	(.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))
	44.1b	(.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))
	43.3b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3)))) b) (expm1.f64 (log1p.f64 (/.f64 1/3 a))))
	43.3b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3)))) b) (exp.f64 (log.f64 (/.f64 1/3 a))))
	12.2b	(*.f64 -1/2 (/.f64 c b))
	43.3b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3)))) b) (pow.f64 (cbrt.f64 (/.f64 1/3 a)) 3))
	43.4b	(.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))
	2.7b	(.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))
	3.6b	(.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))

Compiler

Compiled 5381 to 3448 computations (35.9% 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))
✓	0.4b	(/.f64 (pow.f64 c 4) (pow.f64 b 7))
✓	0.4b	(*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 3))
✓	0.4b	(/.f64 (.f64 (.f64 c c) -3/8) (/.f64 (pow.f64 b 3) a))

series223.0ms (4.4%)

Counts

4 → 72

Calls

4 calls:

93.0ms	(*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 3))
61.0ms	(/.f64 (.f64 (.f64 c c) -3/8) (/.f64 (pow.f64 b 3) a))
36.0ms	(/.f64 (pow.f64 c 4) (pow.f64 b 7))
33.0ms	(/.f64 (pow.f64 c 3) (pow.f64 b 5))

rewrite38.0ms (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	52
1	492	52

Stop Event

1×	node limit

Counts

4 → 114

Calls

4 calls:

36.0ms	(/.f64 (pow.f64 c 3) (pow.f64 b 5))
36.0ms	(/.f64 (pow.f64 c 4) (pow.f64 b 7))
36.0ms	(*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 3))
36.0ms	(/.f64 (.f64 (.f64 c c) -3/8) (/.f64 (pow.f64 b 3) a))

simplify34.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

869×	`associate-/l*_binary64`
438×	`associate-/r*_binary64`
423×	`associate-l_binary64`
376×	`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	880	1152

Stop Event

1×	node limit

Counts

186 → 117

prune224.0ms (4.5%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	116	1	117
Fresh	1	10	11
Picked	0	1	1
Done	0	0	0
Total	117	12	129

Error

0.5b

Counts

129 → 12

Alt Table

Status	Error	Program
	43.3b	(.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))
✓	2.3b	(+.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))
	43.6b	(.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))
▶	2.6b	(.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))
	44.1b	(.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))
	43.3b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3)))) b) (expm1.f64 (log1p.f64 (/.f64 1/3 a))))
	43.3b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3)))) b) (exp.f64 (log.f64 (/.f64 1/3 a))))
	8.2b	(+.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 (exp.f64 (log1p.f64 (.f64 (.f64 -3/8 (/.f64 (.f64 c c) (pow.f64 b 3))) a))) 1))) (.f64 (*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 3)) -135/128))
	43.3b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3)))) b) (pow.f64 (cbrt.f64 (/.f64 1/3 a)) 3))
	43.4b	(.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))
	2.7b	(.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))
	3.6b	(.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))

Compiler

Compiled 6402 to 4174 computations (34.8% saved)

localize34.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.4b	(/.f64 (pow.f64 c 4) (pow.f64 b 7))
✓	0.4b	(*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3))
✓	0.4b	(*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 4))
✓	0.5b	(.f64 (.f64 c a) (*.f64 c a))

series171.0ms (3.4%)

Counts

3 → 96

Calls

3 calls:

85.0ms	(*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 4))
77.0ms	(*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3))
9.0ms	(.f64 (.f64 c a) (*.f64 c a))

rewrite30.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

201×	`add-sqr-sqrt_binary64`
201×	`log1p-expm1-u_binary64`
201×	`expm1-log1p-u_binary64`
191×	`add-cbrt-cube_binary64`
189×	`add-cube-cbrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	39
1	443	33

Stop Event

1×	node limit

Counts

3 → 68

Calls

3 calls:

29.0ms	(*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3))
29.0ms	(*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 4))
29.0ms	(.f64 (.f64 c a) (*.f64 c a))

simplify103.0ms (2%)

Algorithm

1×	egg-herbie

Rules

655×	`associate-/r*_binary64`
355×	`unswap-sqr_binary64`
322×	`associate-/l/_binary64`
271×	`associate-/r/_binary64`
251×	`sqr-pow_binary64`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	22	1392
1	59	1392
2	186	1392
3	1057	1392
4	4107	1176
5	4210	1176
6	4357	1104
7	4546	1104
8	4727	1104
9	4941	1104

Stop Event

1×	node limit

Counts

164 → 71

prune179.0ms (3.6%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	97	0	97
Fresh	0	10	10
Picked	0	1	1
Done	0	1	1
Total	97	12	109

Error

0.5b

Counts

109 → 12

Alt Table

Status	Error	Program
	43.3b	(.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))
✓	2.3b	(+.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))
	43.6b	(.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))
✓	2.6b	(.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))
	44.1b	(.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))
	43.3b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3)))) b) (expm1.f64 (log1p.f64 (/.f64 1/3 a))))
	43.3b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3)))) b) (exp.f64 (log.f64 (/.f64 1/3 a))))
	8.2b	(+.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 (exp.f64 (log1p.f64 (.f64 (.f64 -3/8 (/.f64 (.f64 c c) (pow.f64 b 3))) a))) 1))) (.f64 (*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 3)) -135/128))
	43.3b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3)))) b) (pow.f64 (cbrt.f64 (/.f64 1/3 a)) 3))
	43.4b	(.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))
▶	2.7b	(.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))
	3.6b	(.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))

Compiler

Compiled 5937 to 3760 computations (36.7% saved)

localize32.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 (pow.f64 c 2) (pow.f64 a 2))
✓	0.3b	(/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))
	0.3b	(/.f64 1/3 a)
✓	0.4b	(*.f64 (pow.f64 c 4) (pow.f64 a 4))

series114.0ms (2.3%)

Counts

3 → 0

Calls

3 calls:

86.0ms	(/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))
16.0ms	(*.f64 (pow.f64 c 4) (pow.f64 a 4))
10.0ms	(*.f64 (pow.f64 c 2) (pow.f64 a 2))

rewrite55.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

280×	`log1p-udef_binary64`
178×	`log1p-expm1-u_binary64`
178×	`expm1-log1p-u_binary64`
171×	`add-sqr-sqrt_binary64`
169×	`add-cube-cbrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	27
1	418	27
2	4676	27

Stop Event

1×	node limit

Counts

3 → 76

Calls

3 calls:

53.0ms	(*.f64 (pow.f64 c 2) (pow.f64 a 2))
53.0ms	(/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))
53.0ms	(*.f64 (pow.f64 c 4) (pow.f64 a 4))

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

76 → 76

prune191.0ms (3.8%)

Pruning

16 alts after pruning (14 fresh and 2 done)

	Pruned	Kept	Total
New	91	7	98
Fresh	2	7	9
Picked	1	0	1
Done	0	2	2
Total	94	16	110

Error

0.4b

Counts

110 → 16

Alt Table

Status	Error	Program
	43.3b	(.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))
✓	2.3b	(+.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))
	43.3b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3)))) b) (exp.f64 (log.f64 (/.f64 1/3 a))))
	3.0b	(.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 (cbrt.f64 (/.f64 1/9 (*.f64 a a))) (cbrt.f64 (/.f64 1/3 a))))
	43.3b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3)))) b) (pow.f64 (cbrt.f64 (/.f64 1/3 a)) 3))
	4.6b	(.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))))))) (pow.f64 (pow.f64 (/.f64 1/3 a) 3) 1/3))
	3.4b	(.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 (cbrt.f64 (/.f64 1/3 a)) 3))
	43.6b	(.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))
✓	2.6b	(.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))
	2.7b	(.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))
	43.4b	(.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))
	44.1b	(.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))
	43.3b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3)))) b) (expm1.f64 (log1p.f64 (/.f64 1/3 a))))
	2.6b	(.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))))))) (sqrt.f64 (/.f64 1/9 (.f64 a a))))
	2.8b	(.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)))
	4.0b	(.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))))))) (exp.f64 (log.f64 (/.f64 1/3 a))))

Compiler

Compiled 6221 to 4449 computations (28.5% saved)

regimes552.0ms (11%)

Accuracy

Total 2.6b remaining (86.2%)

Threshold costs 0b (0%)

Counts

66 → 1

Compiler

Compiled 14186 to 10461 computations (26.3% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative_binary64`
1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	63
1	37	63

Stop Event

1×

saturated

end470.0ms (9.3%)

Compiler: Compiled 818 to 605 computations (26% saved)

Details

analyze355.0ms (7%)

sample1.8s (36.2%)

simplify33.0ms (0.7%)

prune4.0ms (0.1%)

localize9.0ms (0.2%)

series89.0ms (1.8%)

rewrite68.0ms (1.3%)

simplify39.0ms (0.8%)

prune135.0ms (2.7%)

localize26.0ms (0.5%)

series223.0ms (4.4%)

rewrite38.0ms (0.7%)

simplify34.0ms (0.7%)

prune224.0ms (4.5%)

localize34.0ms (0.7%)

series171.0ms (3.4%)

rewrite30.0ms (0.6%)

simplify103.0ms (2%)

prune179.0ms (3.6%)

localize32.0ms (0.6%)

series114.0ms (2.3%)

rewrite55.0ms (1.1%)

simplify6.0ms (0.1%)

prune191.0ms (3.8%)

regimes552.0ms (11%)

simplify3.0ms (0.1%)

end470.0ms (9.3%)

Profiling