Details

analyze1.0s (4.1%)

Algorithm

2×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5301	182
0	4	4
1	4	4

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	2
0%	74.9%	25.1%	3
0%	74.9%	25.1%	3
0%	74.9%	25.1%	4
0%	74.9%	25.1%	4
0%	74.9%	25.1%	5
0%	74.9%	25.1%	5
0%	62.4%	37.6%	6
0%	62.4%	37.6%	6
0%	31.2%	68.8%	7
0%	31.2%	68.8%	7
0%	31.2%	68.8%	8
0%	31.2%	68.8%	8
0%	31.2%	68.8%	9
0%	31.2%	68.8%	9
0%	28.1%	71.9%	10
0%	28.1%	71.9%	10
6.1%	20.4%	73.5%	11
6.1%	20.4%	73.5%	11
6.1%	20.4%	73.5%	12
6.1%	20.4%	73.5%	12
7.7%	18.8%	73.5%	13
7.7%	18.8%	73.5%	13
9.2%	16.6%	74.3%	14
9.2%	16.6%	74.3%	14

Compiler

Compiled 36 to 34 computations (5.6% saved)

sample3.8s (15.6%)

Algorithm

2×

intervals

Results

112.0ms	1509×	body	128	nan
28.0ms	382×	body	128	valid
15.0ms	56×	body	512	valid
15.0ms	29×	body	1024	valid
7.0ms	45×	body	256	valid

Compiler

Compiled 18881 to 22024 computations (-16.6% saved)

simplify128.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (123.0ms)

Iter	Nodes	Cost
0	5003	26

prune3.0ms (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

8.5b

Counts

2 → 1

Compiler

Compiled 34 to 32 computations (5.9% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (+.f64 (.f64 (-.f64 x 1) (log.f64 y)) (.f64 (-.f64 z 1) (log.f64 (-.f64 1 y)))) t)
0.0b	(*.f64 (-.f64 z 1) (log.f64 (-.f64 1 y)))
0.1b	(*.f64 (-.f64 x 1) (log.f64 y))
5.2b	(log.f64 (-.f64 1 y))

rewrite223.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

8.3b

Rules

37×	`add-sqr-sqrt_binary64_441`
31×	`*-un-lft-identity_binary64_419`
24×	`log-prod_binary64_505`
14×	`add-cube-cbrt_binary64_454` `associate-l_binary64_360`
11×	`pow1_binary64_480` `difference-of-squares_binary64_388`
9×	`add-exp-log_binary64_457` `add-log-exp_binary64_458` `distribute-rgt-in_binary64_369` `distribute-lft-in_binary64_368`
8×	`add-cbrt-cube_binary64_455` `associate-r_binary64_359`
6×	`distribute-lft-out--_binary64_371`
4×	`flip3--_binary64_423` `flip--_binary64_394` `associate-*l/_binary64_362`
3×	`log-pow_binary64_508` `cancel-sign-sub-inv_binary64_385`
2×	`log-div_binary64_506` `pow-prod-down_binary64_490` `prod-exp_binary64_468` `cbrt-unprod_binary64_452` `unswap-sqr_binary64_387` `difference-of-sqr-1_binary64_389` `*-commutative_binary64_350` `diff-log_binary64_511`
1×	`rem-log-exp_binary64_460` `sum-log_binary64_510` `sub-neg_binary64_412` `associate--l+_binary64_356`

Counts

4 → 103

Calls

4 calls:

13.0ms	(*.f64 (-.f64 z 1) (log.f64 (-.f64 1 y)))
12.0ms	(-.f64 (+.f64 (.f64 (-.f64 x 1) (log.f64 y)) (.f64 (-.f64 z 1) (log.f64 (-.f64 1 y)))) t)
8.0ms	(*.f64 (-.f64 x 1) (log.f64 y))
4.0ms	(log.f64 (-.f64 1 y))

Compiler

Compiled 2639 to 1790 computations (32.2% saved)

series1.8s (7.3%)

Error

0.1b

Counts

4 → 49

Calls

4 calls:

1.3s	(-.f64 (+.f64 (.f64 (-.f64 x 1) (log.f64 y)) (.f64 (-.f64 z 1) (log.f64 (-.f64 1 y)))) t)
238.0ms	(*.f64 (-.f64 x 1) (log.f64 y))
133.0ms	(*.f64 (-.f64 z 1) (log.f64 (-.f64 1 y)))
37.0ms	(log.f64 (-.f64 1 y))

Compiler

Compiled 2467 to 1897 computations (23.1% saved)

simplify58.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

152 → 152

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5368	2709

prune229.0ms (0.9%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	146	6	152
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	147	6	153

Error

0.0b

Counts

153 → 6

Compiler

Compiled 3482 to 2280 computations (34.5% saved)

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 (.f64 y y) (+.f64 1/2 (*.f64 1/3 y)))
0.0b	(+.f64 (.f64 (-.f64 x 1) (log.f64 y)) (.f64 (-.f64 z 1) (-.f64 (.f64 (pow.f64 y 4) -1/4) (+.f64 y (.f64 (.f64 y y) (+.f64 1/2 (.f64 1/3 y)))))))
0.1b	(*.f64 (-.f64 x 1) (log.f64 y))
0.3b	(*.f64 1/3 y)

rewrite398.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

24×	`add-sqr-sqrt_binary64_441`
22×	`associate-*l/_binary64_362`
21×	`flip3--_binary64_423` `flip--_binary64_394`
18×	`*-un-lft-identity_binary64_419`
16×	`frac-add_binary64_427`
15×	`add-cube-cbrt_binary64_454`
14×	`pow1_binary64_480`
13×	`add-exp-log_binary64_457` `add-cbrt-cube_binary64_455`
12×	`log-prod_binary64_505`
11×	`associate-l_binary64_360` `distribute-rgt-in_binary64_369` `distribute-lft-in_binary64_368`
10×	`associate-r_binary64_359`
8×	`frac-times_binary64_429` `associate-+r+_binary64_351`
6×	`add-log-exp_binary64_458` `associate-*r/_binary64_361` `associate-+l+_binary64_352` `cancel-sign-sub-inv_binary64_385`
5×	`pow-prod-down_binary64_490` `prod-exp_binary64_468` `cbrt-unprod_binary64_452`
3×	`unswap-sqr_binary64_387` `*-commutative_binary64_350`
2×	`difference-of-squares_binary64_388` `flip3-+_binary64_422` `flip-+_binary64_393` `sub-neg_binary64_412`
1×	`difference-of-sqr-1_binary64_389` `distribute-lft-out--_binary64_371` `log-pow_binary64_508` `sum-log_binary64_510` `+-commutative_binary64_349`

Counts

4 → 113

Calls

4 calls:

17.0ms	(+.f64 (.f64 (-.f64 x 1) (log.f64 y)) (.f64 (-.f64 z 1) (-.f64 (.f64 (pow.f64 y 4) -1/4) (+.f64 y (.f64 (.f64 y y) (+.f64 1/2 (.f64 1/3 y)))))))
8.0ms	(.f64 (.f64 y y) (+.f64 1/2 (*.f64 1/3 y)))
8.0ms	(*.f64 (-.f64 x 1) (log.f64 y))
4.0ms	(*.f64 1/3 y)

Compiler

Compiled 5932 to 3892 computations (34.4% saved)

series1.7s (7%)

Error

0.0b

Counts

4 → 42

Calls

4 calls:

1.2s	(+.f64 (.f64 (-.f64 x 1) (log.f64 y)) (.f64 (-.f64 z 1) (-.f64 (.f64 (pow.f64 y 4) -1/4) (+.f64 y (.f64 (.f64 y y) (+.f64 1/2 (.f64 1/3 y)))))))
272.0ms	(*.f64 (-.f64 x 1) (log.f64 y))
97.0ms	(.f64 (.f64 y y) (+.f64 1/2 (*.f64 1/3 y)))
31.0ms	(*.f64 1/3 y)

Compiler

Compiled 3490 to 2640 computations (24.4% saved)

simplify93.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

155 → 155

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4968	5628
1	4968	5628

prune419.0ms (1.7%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	151	4	155
Fresh	3	2	5
Picked	1	0	1
Done	0	0	0
Total	155	6	161

Error

Counts

161 → 6

Compiler

Compiled 6896 to 4553 computations (34% saved)

localize27.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (+.f64 (.f64 (log.f64 y) (+.f64 x -1)) (.f64 (+.f64 z -1) (.f64 (pow.f64 y 4) -1/4))) (.f64 (neg.f64 (+.f64 y (.f64 (.f64 y y) (+.f64 1/2 (*.f64 1/3 y))))) (-.f64 z 1)))
0.1b	(*.f64 (log.f64 y) (+.f64 x -1))
0.3b	(*.f64 1/3 y)
5.6b	(.f64 (+.f64 z -1) (.f64 (pow.f64 y 4) -1/4))

rewrite771.0ms (3.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

80×	`frac-add_binary64_427`
61×	`flip3-+_binary64_422` `flip-+_binary64_393`
46×	`associate-l/_binary64_362` `associate-r/_binary64_361`
36×	`distribute-neg-frac_binary64_383`
24×	`frac-times_binary64_429`
18×	`add-exp-log_binary64_457` `flip3--_binary64_423` `flip--_binary64_394`
17×	`add-sqr-sqrt_binary64_441`
15×	`*-un-lft-identity_binary64_419`
13×	`add-cbrt-cube_binary64_455`
12×	`associate-l_binary64_360`
11×	`pow1_binary64_480` `add-cube-cbrt_binary64_454`
9×	`prod-exp_binary64_468` `add-log-exp_binary64_458` `associate-r_binary64_359`
8×	`associate-+r+_binary64_351`
6×	`cancel-sign-sub-inv_binary64_385`
5×	`cbrt-unprod_binary64_452` `distribute-rgt-in_binary64_369` `distribute-lft-in_binary64_368`
3×	`pow-prod-down_binary64_490` `*-commutative_binary64_350` `sum-log_binary64_510`
2×	`difference-of-sqr--1_binary64_390` `distribute-lft-out_binary64_370` `unswap-sqr_binary64_387` `sub-neg_binary64_412`
1×	`pow-to-exp_binary64_488` `pow-exp_binary64_487` `log-pow_binary64_508` `distribute-lft-neg-out_binary64_378` `unsub-neg_binary64_413` `associate-+l+_binary64_352` `+-commutative_binary64_349`

Counts

4 → 136

Calls

4 calls:

19.0ms	(+.f64 (+.f64 (.f64 (log.f64 y) (+.f64 x -1)) (.f64 (+.f64 z -1) (.f64 (pow.f64 y 4) -1/4))) (.f64 (neg.f64 (+.f64 y (.f64 (.f64 y y) (+.f64 1/2 (*.f64 1/3 y))))) (-.f64 z 1)))
9.0ms	(.f64 (+.f64 z -1) (.f64 (pow.f64 y 4) -1/4))
7.0ms	(*.f64 (log.f64 y) (+.f64 x -1))
4.0ms	(*.f64 1/3 y)

Compiler

Compiled 11457 to 7598 computations (33.7% saved)

series1.8s (7.2%)

Error

Counts

4 → 43

Calls

4 calls:

1.3s	(+.f64 (+.f64 (.f64 (log.f64 y) (+.f64 x -1)) (.f64 (+.f64 z -1) (.f64 (pow.f64 y 4) -1/4))) (.f64 (neg.f64 (+.f64 y (.f64 (.f64 y y) (+.f64 1/2 (*.f64 1/3 y))))) (-.f64 z 1)))
244.0ms	(*.f64 (log.f64 y) (+.f64 x -1))
143.0ms	(.f64 (+.f64 z -1) (.f64 (pow.f64 y 4) -1/4))
27.0ms	(*.f64 1/3 y)

Compiler

Compiled 3915 to 2952 computations (24.6% saved)

simplify127.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

179 → 179

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	4980	12071
1	4980	12071

prune726.0ms (3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	179	0	179
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	179	6	185

Error

Counts

185 → 6

Compiler

Compiled 11454 to 7345 computations (35.9% saved)

localize28.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 (+.f64 x -1) (log.f64 (sqrt.f64 y))) (.f64 (+.f64 z -1) (-.f64 (-.f64 (.f64 (pow.f64 y 4) -1/4) y) (.f64 y (.f64 y (+.f64 (.f64 1/3 y) 1/2))))))
0.1b	(*.f64 (log.f64 (sqrt.f64 y)) (-.f64 x 1))
0.1b	(*.f64 (+.f64 x -1) (log.f64 (sqrt.f64 y)))
0.3b	(*.f64 1/3 y)

rewrite933.0ms (3.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

62×	`associate-*r/_binary64_361`
48×	`flip3-+_binary64_422` `flip-+_binary64_393`
46×	`associate-*l/_binary64_362`
40×	`frac-add_binary64_427`
33×	`add-sqr-sqrt_binary64_441`
27×	`*-un-lft-identity_binary64_419`
24×	`log-prod_binary64_505` `frac-sub_binary64_428` `frac-times_binary64_429`
22×	`add-cube-cbrt_binary64_454` `distribute-rgt-in_binary64_369` `distribute-lft-in_binary64_368`
19×	`flip3--_binary64_423` `flip--_binary64_394`
16×	`associate-r_binary64_359`
14×	`pow1_binary64_480` `associate-l_binary64_360` `cancel-sign-sub-inv_binary64_385`
12×	`sqrt-prod_binary64_435` `associate-+l+_binary64_352` `associate-+r+_binary64_351`
10×	`add-exp-log_binary64_457` `add-cbrt-cube_binary64_455`
8×	`associate--l+_binary64_356`
6×	`add-log-exp_binary64_458` `log-pow_binary64_508` `sub-neg_binary64_412`
3×	`pow-prod-down_binary64_490` `prod-exp_binary64_468` `cbrt-unprod_binary64_452` `unswap-sqr_binary64_387` `*-commutative_binary64_350`
2×	`pow1/2_binary64_499` `sqrt-pow1_binary64_437` `difference-of-squares_binary64_388`
1×	`difference-of-sqr--1_binary64_390` `distribute-lft-out_binary64_370` `difference-of-sqr-1_binary64_389` `distribute-lft-out--_binary64_371` `sum-log_binary64_510` `+-commutative_binary64_349`

Counts

4 → 165

Calls

4 calls:

21.0ms	(+.f64 (.f64 (+.f64 x -1) (log.f64 (sqrt.f64 y))) (.f64 (+.f64 z -1) (-.f64 (-.f64 (.f64 (pow.f64 y 4) -1/4) y) (.f64 y (.f64 y (+.f64 (.f64 1/3 y) 1/2))))))
9.0ms	(*.f64 (log.f64 (sqrt.f64 y)) (-.f64 x 1))
8.0ms	(*.f64 (+.f64 x -1) (log.f64 (sqrt.f64 y)))
5.0ms	(*.f64 1/3 y)

Compiler

Compiled 12216 to 8124 computations (33.5% saved)

series1.8s (7.6%)

Error

Counts

4 → 36

Calls

4 calls:

1.3s	(+.f64 (.f64 (+.f64 x -1) (log.f64 (sqrt.f64 y))) (.f64 (+.f64 z -1) (-.f64 (-.f64 (.f64 (pow.f64 y 4) -1/4) y) (.f64 y (.f64 y (+.f64 (.f64 1/3 y) 1/2))))))
223.0ms	(*.f64 (log.f64 (sqrt.f64 y)) (-.f64 x 1))
222.0ms	(*.f64 (+.f64 x -1) (log.f64 (sqrt.f64 y)))
33.0ms	(*.f64 1/3 y)

Compiler

Compiled 4178 to 2917 computations (30.2% saved)

simplify104.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

201 → 201

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	5279	10812

prune830.0ms (3.4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	201	0	201
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	201	6	207

Error

Counts

207 → 6

Compiler

Compiled 12385 to 7800 computations (37% saved)

regimes1.7s (7.1%)

Accuracy

Total 0.2b remaining (90.2%)

Threshold costs 0.2b (90.2%)

Compiler

Compiled 21346 to 17911 computations (16.1% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	147	48
1	147	48

end0.0ms (0%)

sample5.6s (23%)

Algorithm

1×

intervals

Results

1.6s	24420×	body	128	nan
445.0ms	6084×	body	128	valid
251.0ms	494×	body	1024	valid
211.0ms	807×	body	512	valid
97.0ms	613×	body	256	valid
2.0ms	2×	body	2048	valid
1.0ms	21×	body	128	invalid

Compiler

Compiled 2281 to 1908 computations (16.4% saved)

Details

analyze1.0s (4.1%)

sample3.8s (15.6%)

simplify128.0ms (0.5%)

prune3.0ms (0%)

localize13.0ms (0.1%)

rewrite223.0ms (0.9%)

series1.8s (7.3%)

simplify58.0ms (0.2%)

prune229.0ms (0.9%)

localize21.0ms (0.1%)

rewrite398.0ms (1.6%)

series1.7s (7%)

simplify93.0ms (0.4%)

prune419.0ms (1.7%)

localize27.0ms (0.1%)

rewrite771.0ms (3.2%)

series1.8s (7.2%)

simplify127.0ms (0.5%)

prune726.0ms (3%)

localize28.0ms (0.1%)

rewrite933.0ms (3.8%)

series1.8s (7.6%)

simplify104.0ms (0.4%)

prune830.0ms (3.4%)

regimes1.7s (7.1%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample5.6s (23%)

Profiling