Details

analyze252.0ms (3.6%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4872	32
1	4872	32
0	2	2
1	2	2

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
37.5%	62.4%	0.1%	6
50%	46.8%	3.2%	7
56.2%	37.5%	6.3%	8
62.4%	25.8%	11.8%	9
65.6%	20.3%	14.1%	10
68.7%	13.5%	17.9%	11
70.2%	10.5%	19.2%	12
71.8%	6.9%	21.3%	13
72.6%	5.4%	22%	14

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample22.0ms (0.3%)

Algorithm

1×

intervals

Results

11.0ms	256×	body	128	valid
0.0ms	11×	body	128	invalid

Compiler

Compiled 23 to 23 computations (0% saved)

simplify72.0ms (1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4957	16
1	4957	16

prune3.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Error

5.0b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 (-.f64 1 x) (-.f64 3 x))
4.7b	(/.f64 (.f64 (-.f64 1 x) (-.f64 3 x)) (.f64 y 3))

rewrite116.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

16×	`add-exp-log_binary64_18530` `add-cbrt-cube_binary64_18528`
13×	`add-sqr-sqrt_binary64_18514`
12×	`flip3--_binary64_18496` `flip--_binary64_18467`
11×	`*-un-lft-identity_binary64_18492`
8×	`frac-times_binary64_18502` `associate-/l/_binary64_18439`
6×	`add-cube-cbrt_binary64_18527` `cancel-sign-sub-inv_binary64_18458` `associate-l_binary64_18433`
5×	`prod-exp_binary64_18541` `cbrt-unprod_binary64_18525` `associate-r_binary64_18432`
4×	`pow1_binary64_18553` `div-exp_binary64_18543` `cbrt-undiv_binary64_18526` `associate-l/_binary64_18435` `associate-r/_binary64_18434` `distribute-rgt-in_binary64_18442` `distribute-lft-in_binary64_18441`
3×	`difference-of-squares_binary64_18461`
2×	`add-log-exp_binary64_18531` `sub-neg_binary64_18485` `distribute-lft-out--_binary64_18444`
1×	`frac-2neg_binary64_18503` `times-frac_binary64_18498` `clear-num_binary64_18491` `div-inv_binary64_18489` `associate-/l_binary64_18437` `associate-/r_binary64_18436` `pow-prod-down_binary64_18563` `unswap-sqr_binary64_18460` `*-commutative_binary64_18423`

Counts

2 → 68

Calls

2 calls:

12.0ms	(/.f64 (.f64 (-.f64 1 x) (-.f64 3 x)) (.f64 y 3))
10.0ms	(*.f64 (-.f64 1 x) (-.f64 3 x))

Compiler

Compiled 1450 to 1064 computations (26.6% saved)

series231.0ms (3.3%)

Error

4.7b

Counts

2 → 21

Calls

2 calls:

164.0ms	(/.f64 (.f64 (-.f64 1 x) (-.f64 3 x)) (.f64 y 3))
47.0ms	(*.f64 (-.f64 1 x) (-.f64 3 x))

Compiler

Compiled 591 to 491 computations (16.9% saved)

simplify60.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4943	1315
1	4943	1315

prune90.0ms (1.3%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	83	6	89
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	84	6	90

Error

Counts

90 → 6

Compiler

Compiled 1460 to 1069 computations (26.8% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (-.f64 3 x) 3)
0.0b	(/.f64 (-.f64 1 x) y)
0.1b	(*.f64 (/.f64 (-.f64 1 x) y) (/.f64 (-.f64 3 x) 3))

rewrite201.0ms (2.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

90×	`add-sqr-sqrt_binary64_18514`
78×	`*-un-lft-identity_binary64_18492`
70×	`times-frac_binary64_18498`
43×	`add-cube-cbrt_binary64_18527`
22×	`associate-l_binary64_18433`
21×	`difference-of-squares_binary64_18461`
19×	`add-exp-log_binary64_18530` `add-cbrt-cube_binary64_18528` `associate-r_binary64_18432`
14×	`distribute-lft-out--_binary64_18444`
11×	`associate-/l*_binary64_18437`
6×	`div-exp_binary64_18543` `cbrt-undiv_binary64_18526` `associate-/r*_binary64_18436`
5×	`pow1_binary64_18553`
4×	`prod-exp_binary64_18541` `cbrt-unprod_binary64_18525` `unswap-sqr_binary64_18460` `div-inv_binary64_18489` `associate-/l/_binary64_18439`
3×	`add-log-exp_binary64_18531`
2×	`frac-2neg_binary64_18503` `div-sub_binary64_18497` `clear-num_binary64_18491` `flip3--_binary64_18496` `flip--_binary64_18467`
1×	`pow-prod-down_binary64_18563` `frac-times_binary64_18502` `associate-l/_binary64_18435` `associate-r/_binary64_18434` `*-commutative_binary64_18423`

Counts

3 → 145

Calls

3 calls:

20.0ms	(*.f64 (/.f64 (-.f64 1 x) y) (/.f64 (-.f64 3 x) 3))
6.0ms	(/.f64 (-.f64 1 x) y)
6.0ms	(/.f64 (-.f64 3 x) 3)

Compiler

Compiled 2857 to 2101 computations (26.5% saved)

series284.0ms (4%)

Error

Counts

3 → 27

Calls

3 calls:

169.0ms	(*.f64 (/.f64 (-.f64 1 x) y) (/.f64 (-.f64 3 x) 3))
66.0ms	(/.f64 (-.f64 1 x) y)
32.0ms	(/.f64 (-.f64 3 x) 3)

Compiler

Compiled 807 to 657 computations (18.6% saved)

simplify58.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

172 → 172

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5283	2657

prune163.0ms (2.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	172	0	172
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	172	6	178

Error

Counts

178 → 6

Compiler

Compiled 2962 to 2139 computations (27.8% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (-.f64 3 x) 3)
0.1b	(/.f64 y (/.f64 (-.f64 3 x) 3))
0.1b	(/.f64 (-.f64 1 x) (/.f64 y (/.f64 (-.f64 3 x) 3)))

rewrite1.4s (19%)

Algorithm

1×	rewrite-expression-head

Error

Rules

1218×	`times-frac_binary64_18498`
808×	`add-sqr-sqrt_binary64_18514` `*-un-lft-identity_binary64_18492`
461×	`add-cube-cbrt_binary64_18527`
205×	`difference-of-squares_binary64_18461`
142×	`distribute-lft-out--_binary64_18444`
84×	`associate-/r*_binary64_18436`
35×	`div-inv_binary64_18489`
19×	`add-exp-log_binary64_18530` `add-cbrt-cube_binary64_18528`
14×	`associate-/l*_binary64_18437`
10×	`div-exp_binary64_18543` `cbrt-undiv_binary64_18526`
9×	`associate-/r/_binary64_18438`
4×	`associate-/l/_binary64_18439`
3×	`pow1_binary64_18553` `add-log-exp_binary64_18531` `frac-2neg_binary64_18503` `clear-num_binary64_18491`
2×	`div-sub_binary64_18497` `flip3--_binary64_18496` `flip--_binary64_18467`

Counts

3 → 592

Calls

3 calls:

29.0ms	(/.f64 (-.f64 1 x) (/.f64 y (/.f64 (-.f64 3 x) 3)))
10.0ms	(/.f64 y (/.f64 (-.f64 3 x) 3))
6.0ms	(/.f64 (-.f64 3 x) 3)

Compiler

Compiled 15998 to 11611 computations (27.4% saved)

series298.0ms (4.2%)

Error

Counts

3 → 33

Calls

3 calls:

162.0ms	(/.f64 (-.f64 1 x) (/.f64 y (/.f64 (-.f64 3 x) 3)))
83.0ms	(/.f64 y (/.f64 (-.f64 3 x) 3))
29.0ms	(/.f64 (-.f64 3 x) 3)

Compiler

Compiled 1094 to 862 computations (21.2% saved)

simplify202.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

625 → 625

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5112	20379

prune1.3s (18.5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	625	0	625
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	625	6	631

Error

Counts

631 → 6

Compiler

Compiled 15178 to 10647 computations (29.9% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 4/3 (*.f64 1/3 x))
0.3b	(.f64 x (-.f64 4/3 (.f64 1/3 x)))
0.3b	(*.f64 1/3 x)
4.7b	(/.f64 (.f64 x (-.f64 4/3 (.f64 1/3 x))) y)

rewrite102.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

14×	`add-sqr-sqrt_binary64_18514`
13×	`add-exp-log_binary64_18530` `add-cbrt-cube_binary64_18528`
10×	`add-cube-cbrt_binary64_18527` `*-un-lft-identity_binary64_18492`
8×	`pow1_binary64_18553`
6×	`add-log-exp_binary64_18531` `associate-l_binary64_18433` `associate-r_binary64_18432`
4×	`associate-*r/_binary64_18434`
3×	`prod-exp_binary64_18541` `cbrt-unprod_binary64_18525` `times-frac_binary64_18498` `flip3--_binary64_18496` `flip--_binary64_18467` `associate-/r*_binary64_18436` `sub-neg_binary64_18485` `cancel-sign-sub-inv_binary64_18458`
2×	`div-exp_binary64_18543` `cbrt-undiv_binary64_18526` `associate-/l/_binary64_18439` `pow-prod-down_binary64_18563` `unswap-sqr_binary64_18460` `*-commutative_binary64_18423` `distribute-rgt-in_binary64_18442` `distribute-lft-in_binary64_18441`
1×	`frac-2neg_binary64_18503` `clear-num_binary64_18491` `div-inv_binary64_18489` `associate-/l*_binary64_18437` `diff-log_binary64_18584`

Counts

4 → 77

Calls

4 calls:

6.0ms	(/.f64 (.f64 x (-.f64 4/3 (.f64 1/3 x))) y)
6.0ms	(.f64 x (-.f64 4/3 (.f64 1/3 x)))
4.0ms	(*.f64 1/3 x)
3.0ms	(-.f64 4/3 (*.f64 1/3 x))

Compiler

Compiled 1517 to 1090 computations (28.1% saved)

series237.0ms (3.3%)

Error

Counts

4 → 24

Calls

4 calls:

118.0ms	(/.f64 (.f64 x (-.f64 4/3 (.f64 1/3 x))) y)
50.0ms	(.f64 x (-.f64 4/3 (.f64 1/3 x)))
32.0ms	(-.f64 4/3 (*.f64 1/3 x))
20.0ms	(*.f64 1/3 x)

Compiler

Compiled 843 to 673 computations (20.2% saved)

simplify55.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5015	1094

prune87.0ms (1.2%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	101	0	101
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	101	6	107

Error

Counts

107 → 6

Compiler

Compiled 1651 to 1163 computations (29.6% saved)

regimes495.0ms (7%)

Accuracy

Total 0.1b remaining (98.1%)

Threshold costs 0.1b (98.1%)

Compiler

Compiled 5403 to 4644 computations (14% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	16
1	23	16

end0.0ms (0%)

sample1.4s (19.4%)

Algorithm

1×

intervals

Results

255.0ms	8000×	body	128	valid
10.0ms	324×	body	128	invalid

Compiler

Compiled 925 to 798 computations (13.7% saved)

Details

analyze252.0ms (3.6%)

sample22.0ms (0.3%)

simplify72.0ms (1%)

prune3.0ms (0%)

localize7.0ms (0.1%)

rewrite116.0ms (1.6%)

series231.0ms (3.3%)

simplify60.0ms (0.8%)

prune90.0ms (1.3%)

localize7.0ms (0.1%)

rewrite201.0ms (2.8%)

series284.0ms (4%)

simplify58.0ms (0.8%)

prune163.0ms (2.3%)

localize8.0ms (0.1%)

rewrite1.4s (19%)

series298.0ms (4.2%)

simplify202.0ms (2.9%)

prune1.3s (18.5%)

localize8.0ms (0.1%)

rewrite102.0ms (1.4%)

series237.0ms (3.3%)

simplify55.0ms (0.8%)

prune87.0ms (1.2%)

regimes495.0ms (7%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.4s (19.4%)

Profiling