Details

analyze1.3s (17%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4866	40
1	4866	40
0	3	3
1	3	3

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
0%	99.9%	0.1%	5
9.4%	90.5%	0.1%	6
14%	85.8%	0.1%	7
22.6%	77.2%	0.1%	8
37.8%	60.5%	1.7%	9
40%	56%	4%	10
47.3%	48.7%	4%	11
56.8%	36.2%	7%	12
58.6%	32.4%	9%	13
63.4%	27.5%	9%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample29.0ms (0.4%)

Algorithm

1×

intervals

Results

11.0ms	256×	body	128	valid
1.0ms	24×	body	128	invalid

Compiler

Compiled 15 to 16 computations (-6.7% saved)

simplify256.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (246.0ms)

Iter	Nodes	Cost
0	4864	10
1	4864	10

prune4.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

14.9b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 x (-.f64 y z))
14.1b	(/.f64 (*.f64 x (-.f64 y z)) y)

rewrite115.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

12×	`add-sqr-sqrt_binary64_20219`
10×	`*-un-lft-identity_binary64_20197`
9×	`add-exp-log_binary64_20235` `add-cbrt-cube_binary64_20233`
8×	`add-cube-cbrt_binary64_20232`
6×	`cancel-sign-sub-inv_binary64_20163`
5×	`associate-r_binary64_20137`
4×	`pow1_binary64_20258` `associate-*r/_binary64_20139` `distribute-rgt-in_binary64_20147` `distribute-lft-in_binary64_20146`
3×	`times-frac_binary64_20203` `associate-/r_binary64_20141` `associate-l*_binary64_20138`
2×	`prod-exp_binary64_20246` `div-exp_binary64_20248` `add-log-exp_binary64_20236` `cbrt-undiv_binary64_20231` `cbrt-unprod_binary64_20230` `flip3--_binary64_20201` `associate-/l/_binary64_20144` `flip--_binary64_20172` `sub-neg_binary64_20190`
1×	`frac-2neg_binary64_20208` `clear-num_binary64_20196` `div-inv_binary64_20194` `associate-/l_binary64_20142` `pow-prod-down_binary64_20268` `unswap-sqr_binary64_20165` `difference-of-squares_binary64_20166` `distribute-lft-out--_binary64_20149` `-commutative_binary64_20128`

Counts

2 → 53

Calls

2 calls:

20.0ms	(/.f64 (*.f64 x (-.f64 y z)) y)
14.0ms	(*.f64 x (-.f64 y z))

Compiler

Compiled 710 to 208 computations (70.7% saved)

series454.0ms (6.1%)

Error

5.2b

Counts

2 → 30

Calls

2 calls:

252.0ms	(/.f64 (*.f64 x (-.f64 y z)) y)
174.0ms	(*.f64 x (-.f64 y z))

Compiler

Compiled 534 to 322 computations (39.7% saved)

simplify106.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (78.0ms)

Iter	Nodes	Cost
0	5062	790

prune95.0ms (1.3%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	79	4	83
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	80	4	84

Error

0.0b

Counts

84 → 4

Compiler

Compiled 823 to 184 computations (77.6% saved)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 y (-.f64 y z))
2.6b	(/.f64 x (/.f64 y (-.f64 y z)))

rewrite215.0ms (2.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

138×	`times-frac_binary64_20203`
102×	`add-sqr-sqrt_binary64_20219` `*-un-lft-identity_binary64_20197`
70×	`add-cube-cbrt_binary64_20232`
26×	`associate-/r*_binary64_20141`
16×	`difference-of-squares_binary64_20166` `distribute-lft-out--_binary64_20149`
11×	`associate-/r/_binary64_20143`
9×	`add-exp-log_binary64_20235` `add-cbrt-cube_binary64_20233`
6×	`div-inv_binary64_20194` `associate-/l*_binary64_20142`
5×	`flip3--_binary64_20201` `flip--_binary64_20172`
4×	`div-exp_binary64_20248` `cbrt-undiv_binary64_20231`
2×	`pow1_binary64_20258` `add-log-exp_binary64_20236` `frac-2neg_binary64_20208` `clear-num_binary64_20196`

Counts

2 → 139

Calls

2 calls:

19.0ms	(/.f64 x (/.f64 y (-.f64 y z)))
9.0ms	(/.f64 y (-.f64 y z))

Compiler

Compiled 2456 to 567 computations (76.9% saved)

series419.0ms (5.6%)

Error

0.0b

Counts

2 → 33

Calls

2 calls:

237.0ms	(/.f64 x (/.f64 y (-.f64 y z)))
147.0ms	(/.f64 y (-.f64 y z))

Compiler

Compiled 804 to 587 computations (27% saved)

simplify149.0ms (2%)

Algorithm

1×	egg-herbie

Counts

172 → 172

Iterations

Useful iterations: 0 (78.0ms)

Iter	Nodes	Cost
0	4994	3125
1	4994	3125

prune202.0ms (2.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	169	3	172
Fresh	2	1	3
Picked	0	1	1
Done	0	0	0
Total	171	5	176

Error

Counts

176 → 5

Compiler

Compiled 2534 to 503 computations (80.1% saved)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 y z) y)
2.7b	(*.f64 x (/.f64 (-.f64 y z) y))

rewrite128.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

41×	`add-sqr-sqrt_binary64_20219`
36×	`*-un-lft-identity_binary64_20197`
31×	`times-frac_binary64_20203`
22×	`add-cube-cbrt_binary64_20232`
19×	`associate-r_binary64_20137`
9×	`add-exp-log_binary64_20235` `add-cbrt-cube_binary64_20233`
7×	`difference-of-squares_binary64_20166` `distribute-lft-out--_binary64_20149`
5×	`associate-/l*_binary64_20142`
4×	`pow1_binary64_20258`
3×	`associate-l_binary64_20138` `associate-/r*_binary64_20141`
2×	`div-exp_binary64_20248` `prod-exp_binary64_20246` `add-log-exp_binary64_20236` `cbrt-unprod_binary64_20230` `cbrt-undiv_binary64_20231` `unswap-sqr_binary64_20165` `div-inv_binary64_20194` `associate-/l/_binary64_20144`
1×	`pow-prod-down_binary64_20268` `associate-r/_binary64_20139` `-commutative_binary64_20128` `frac-2neg_binary64_20208` `div-sub_binary64_20202` `clear-num_binary64_20196` `flip3--_binary64_20201` `flip--_binary64_20172`

Counts

2 → 76

Calls

2 calls:

21.0ms	(*.f64 x (/.f64 (-.f64 y z) y))
13.0ms	(/.f64 (-.f64 y z) y)

Compiler

Compiled 1133 to 278 computations (75.5% saved)

series372.0ms (5%)

Error

Counts

2 → 27

Calls

2 calls:

225.0ms	(*.f64 x (/.f64 (-.f64 y z) y))
127.0ms	(/.f64 (-.f64 y z) y)

Compiler

Compiled 423 to 307 computations (27.4% saved)

simplify123.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (92.0ms)

Iter	Nodes	Cost
0	5076	1200

prune107.0ms (1.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	103	0	103
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	103	5	108

Error

Counts

108 → 5

Compiler

Compiled 1205 to 328 computations (72.8% saved)

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 x (/.f64 (*.f64 x z) y))
6.7b	(/.f64 (*.f64 x z) y)

rewrite77.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

8×	`add-sqr-sqrt_binary64_20219` `*-un-lft-identity_binary64_20197`
7×	`add-exp-log_binary64_20235` `add-cbrt-cube_binary64_20233` `cancel-sign-sub-inv_binary64_20163`
6×	`add-cube-cbrt_binary64_20232` `times-frac_binary64_20203`
4×	`add-log-exp_binary64_20236`
3×	`associate-/r*_binary64_20141`
2×	`pow1_binary64_20258` `div-exp_binary64_20248` `cbrt-undiv_binary64_20231` `div-inv_binary64_20194`
1×	`prod-exp_binary64_20246` `cbrt-unprod_binary64_20230` `frac-2neg_binary64_20208` `clear-num_binary64_20196` `associate-/l*_binary64_20142` `diff-log_binary64_20289` `flip3--_binary64_20201` `sub-neg_binary64_20190` `flip--_binary64_20172` `difference-of-squares_binary64_20166` `distribute-lft-out--_binary64_20149`

Counts

2 → 41

Calls

2 calls:

12.0ms	(-.f64 x (/.f64 (*.f64 x z) y))
8.0ms	(/.f64 (*.f64 x z) y)

Compiler

Compiled 559 to 160 computations (71.4% saved)

series408.0ms (5.4%)

Error

Counts

2 → 24

Calls

2 calls:

211.0ms	(-.f64 x (/.f64 (*.f64 x z) y))
178.0ms	(/.f64 (*.f64 x z) y)

Compiler

Compiled 432 to 280 computations (35.2% saved)

simplify143.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 0 (119.0ms)

Iter	Nodes	Cost
0	4969	671
1	4969	671

prune58.0ms (0.8%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	65	0	65
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	65	5	70

Error

Counts

70 → 5

Compiler

Compiled 605 to 118 computations (80.5% saved)

regimes654.0ms (8.7%)

Accuracy

Total 2.9b remaining (99.9%)

Threshold costs 0b (0%)

Compiler

Compiled 2318 to 1527 computations (34.1% saved)

bsearch88.0ms (1.2%)

Steps

Iters	Range		Point
9	3.3917820604421894e-130	2.3007635237974988e-125	6.717350048078581e-129
10	-6.059235621143311e-123	-1.111684425355429e-133	-5.350977060514043e-132

Compiler

Compiled 1 to 3 computations (-200% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	33	46
1	33	46

end0.0ms (0%)

sample2.0s (26.3%)

Algorithm

1×

intervals

Results

397.0ms	8000×	body	128	valid
35.0ms	763×	body	128	invalid

Compiler

Compiled 617 to 406 computations (34.2% saved)

Details

analyze1.3s (17%)

sample29.0ms (0.4%)

simplify256.0ms (3.4%)

prune4.0ms (0%)

localize10.0ms (0.1%)

rewrite115.0ms (1.5%)

series454.0ms (6.1%)

simplify106.0ms (1.4%)

prune95.0ms (1.3%)

localize10.0ms (0.1%)

rewrite215.0ms (2.9%)

series419.0ms (5.6%)

simplify149.0ms (2%)

prune202.0ms (2.7%)

localize10.0ms (0.1%)

rewrite128.0ms (1.7%)

series372.0ms (5%)

simplify123.0ms (1.6%)

prune107.0ms (1.4%)

localize11.0ms (0.1%)

rewrite77.0ms (1%)

series408.0ms (5.4%)

simplify143.0ms (1.9%)

prune58.0ms (0.8%)

regimes654.0ms (8.7%)

bsearch88.0ms (1.2%)

simplify6.0ms (0.1%)

end0.0ms (0%)

sample2.0s (26.3%)

Profiling