Details

analyze492.0ms (4.5%)

Algorithm

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

Compiler

Compiled 18 to 17 computations (5.6% saved)

sample44.0ms (0.4%)

Algorithm

1×

intervals

Results

15.0ms	200×	body	128	valid
7.0ms	13×	body	1024	valid
5.0ms	20×	body	512	valid
4.0ms	23×	body	256	valid
1.0ms	8×	body	128	nan

Compiler

Compiled 35 to 37 computations (-5.7% saved)

simplify132.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (127.0ms)

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

5.3b

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 z 1) (log.f64 (-.f64 1 y)))
0.0b	(-.f64 (+.f64 (.f64 (-.f64 x 1) (log.f64 y)) (.f64 (-.f64 z 1) (log.f64 (-.f64 1 y)))) t)
0.1b	(*.f64 (-.f64 x 1) (log.f64 y))
7.0b	(log.f64 (-.f64 1 y))

rewrite368.0ms (3.3%)

Algorithm

1×	rewrite-expression-head

Error

5.0b

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:

189.0ms	(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)
10.0ms	(*.f64 (-.f64 z 1) (log.f64 (-.f64 1 y)))
8.0ms	(*.f64 (-.f64 x 1) (log.f64 y))

Compiler

Compiled 2639 to 1790 computations (32.2% saved)

series1.2s (11.2%)

Error

0.1b

Counts

4 → 51

Calls

4 calls:

840.0ms	(-.f64 (+.f64 (.f64 (-.f64 x 1) (log.f64 y)) (.f64 (-.f64 z 1) (log.f64 (-.f64 1 y)))) t)
158.0ms	(*.f64 (-.f64 z 1) (log.f64 (-.f64 1 y)))
154.0ms	(*.f64 (-.f64 x 1) (log.f64 y))
24.0ms	(log.f64 (-.f64 1 y))

Compiler

Compiled 2547 to 1959 computations (23.1% saved)

simplify56.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

154 → 154

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5368	2733

prune201.0ms (1.8%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	144	10	154
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	145	10	155

Error

0.0b

Counts

155 → 10

Compiler

Compiled 3625 to 2396 computations (33.9% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (+.f64 (.f64 (-.f64 x 1) (log.f64 y)) (.f64 (-.f64 z 1) (-.f64 (neg.f64 y) (.f64 (.f64 y y) (+.f64 1/2 (*.f64 1/3 y)))))) t)
0.0b	(.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)

rewrite171.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

23×	`add-sqr-sqrt_binary64_441`
17×	`*-un-lft-identity_binary64_419`
14×	`pow1_binary64_480`
13×	`add-exp-log_binary64_457` `add-cbrt-cube_binary64_455`
12×	`add-cube-cbrt_binary64_454`
11×	`associate-l_binary64_360`
10×	`associate-r_binary64_359`
9×	`add-log-exp_binary64_458`
6×	`log-prod_binary64_505`
5×	`pow-prod-down_binary64_490` `prod-exp_binary64_468` `cbrt-unprod_binary64_452`
4×	`distribute-rgt-in_binary64_369` `distribute-lft-in_binary64_368`
3×	`unswap-sqr_binary64_387` `*-commutative_binary64_350` `difference-of-squares_binary64_388` `cancel-sign-sub-inv_binary64_385`
2×	`flip3--_binary64_423` `associate-l/_binary64_362` `flip--_binary64_394` `distribute-lft-out--_binary64_371` `associate-r/_binary64_361` `diff-log_binary64_511`
1×	`difference-of-sqr-1_binary64_389` `log-pow_binary64_508` `flip3-+_binary64_422` `flip-+_binary64_393` `sum-log_binary64_510` `sub-neg_binary64_412` `associate--l+_binary64_356`

Counts

4 → 90

Calls

4 calls:

14.0ms	(-.f64 (+.f64 (.f64 (-.f64 x 1) (log.f64 y)) (.f64 (-.f64 z 1) (-.f64 (neg.f64 y) (.f64 (.f64 y y) (+.f64 1/2 (*.f64 1/3 y)))))) t)
8.0ms	(*.f64 (-.f64 x 1) (log.f64 y))
8.0ms	(.f64 (.f64 y y) (+.f64 1/2 (*.f64 1/3 y)))
4.0ms	(*.f64 1/3 y)

Compiler

Compiled 3077 to 1817 computations (40.9% saved)

series1.2s (11.3%)

Error

0.0b

Counts

4 → 47

Calls

4 calls:

938.0ms	(-.f64 (+.f64 (.f64 (-.f64 x 1) (log.f64 y)) (.f64 (-.f64 z 1) (-.f64 (neg.f64 y) (.f64 (.f64 y y) (+.f64 1/2 (*.f64 1/3 y)))))) t)
171.0ms	(*.f64 (-.f64 x 1) (log.f64 y))
58.0ms	(.f64 (.f64 y y) (+.f64 1/2 (*.f64 1/3 y)))
20.0ms	(*.f64 1/3 y)

Compiler

Compiled 3300 to 2446 computations (25.9% saved)

simplify75.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4942	2698
1	4942	2698

prune194.0ms (1.8%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	136	1	137
Fresh	1	8	9
Picked	1	0	1
Done	0	0	0
Total	138	9	147

Error

0.0b

Counts

147 → 9

Compiler

Compiled 4158 to 2586 computations (37.8% saved)

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(+.f64 (.f64 (+.f64 -1 x) (.f64 2 (log.f64 (cbrt.f64 y)))) (*.f64 (+.f64 -1 x) (log.f64 (cbrt.f64 y))))
0.3b	(*.f64 1/3 y)
0.7b	(cbrt.f64 y)
0.7b	(cbrt.f64 y)

rewrite208.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

36×	`log-prod_binary64_505`
30×	`distribute-rgt-in_binary64_369` `distribute-lft-in_binary64_368`
24×	`cbrt-prod_binary64_450` `associate-+l+_binary64_352`
22×	`add-sqr-sqrt_binary64_441`
20×	`add-cube-cbrt_binary64_454` `*-un-lft-identity_binary64_419`
12×	`associate-+r+_binary64_351`
8×	`associate-*l/_binary64_362`
6×	`pow1_binary64_480` `add-log-exp_binary64_458` `add-exp-log_binary64_457` `add-cbrt-cube_binary64_455`
5×	`flip3-+_binary64_422` `flip-+_binary64_393`
4×	`frac-add_binary64_427`
3×	`associate-l_binary64_360` `associate-r_binary64_359`
2×	`pow1/3_binary64_501`
1×	`pow-prod-down_binary64_490` `prod-exp_binary64_468` `cbrt-unprod_binary64_452` `unswap-sqr_binary64_387` `*-commutative_binary64_350` `sum-log_binary64_510` `distribute-lft-out_binary64_370` `+-commutative_binary64_349`

Counts

4 → 92

Calls

4 calls:

14.0ms	(+.f64 (.f64 (+.f64 -1 x) (.f64 2 (log.f64 (cbrt.f64 y)))) (*.f64 (+.f64 -1 x) (log.f64 (cbrt.f64 y))))
4.0ms	(*.f64 1/3 y)
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

Compiler

Compiled 4263 to 2417 computations (43.3% saved)

series790.0ms (7.2%)

Error

0.0b

Counts

4 → 18

Calls

4 calls:

578.0ms	(+.f64 (.f64 (+.f64 -1 x) (.f64 2 (log.f64 (cbrt.f64 y)))) (*.f64 (+.f64 -1 x) (log.f64 (cbrt.f64 y))))
80.0ms	(cbrt.f64 y)
80.0ms	(cbrt.f64 y)
22.0ms	(*.f64 1/3 y)

Compiler

Compiled 1832 to 1422 computations (22.4% saved)

simplify65.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4921	1423
1	4921	1423

prune184.0ms (1.7%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	108	2	110
Fresh	4	4	8
Picked	1	0	1
Done	0	0	0
Total	113	6	119

Error

0.0b

Counts

119 → 6

Compiler

Compiled 4414 to 2550 computations (42.2% saved)

localize28.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(+.f64 (.f64 (+.f64 -1 x) (.f64 2 (log.f64 (pow.f64 y 1/3)))) (*.f64 (+.f64 -1 x) (log.f64 (cbrt.f64 y))))
0.3b	(*.f64 1/3 y)
0.7b	(cbrt.f64 y)
5.0b	(pow.f64 y 1/3)

rewrite256.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

40×	`log-prod_binary64_505`
34×	`distribute-rgt-in_binary64_369` `distribute-lft-in_binary64_368`
28×	`associate-+l+_binary64_352`
23×	`add-sqr-sqrt_binary64_441`
21×	`add-cube-cbrt_binary64_454` `*-un-lft-identity_binary64_419`
15×	`unpow-prod-down_binary64_498`
12×	`associate-+r+_binary64_351`
9×	`cbrt-prod_binary64_450`
8×	`associate-*l/_binary64_362`
7×	`pow1_binary64_480` `add-exp-log_binary64_457`
6×	`add-log-exp_binary64_458` `add-cbrt-cube_binary64_455`
5×	`sqr-pow_binary64_391` `flip3-+_binary64_422` `flip-+_binary64_393`
4×	`frac-add_binary64_427`
3×	`pow-unpow_binary64_496` `associate-l_binary64_360` `associate-r_binary64_359`
1×	`pow-pow_binary64_491` `pow-to-exp_binary64_488` `pow-exp_binary64_487` `unpow1/3_binary64_486` `pow1/3_binary64_501` `pow-prod-down_binary64_490` `prod-exp_binary64_468` `cbrt-unprod_binary64_452` `unswap-sqr_binary64_387` `*-commutative_binary64_350` `sum-log_binary64_510` `distribute-lft-out_binary64_370` `+-commutative_binary64_349`

Counts

4 → 103

Calls

4 calls:

15.0ms	(+.f64 (.f64 (+.f64 -1 x) (.f64 2 (log.f64 (pow.f64 y 1/3)))) (*.f64 (+.f64 -1 x) (log.f64 (cbrt.f64 y))))
4.0ms	(*.f64 1/3 y)
2.0ms	(pow.f64 y 1/3)
1.0ms	(cbrt.f64 y)

Compiler

Compiled 4889 to 3159 computations (35.4% saved)

series895.0ms (8.1%)

Error

0.0b

Counts

4 → 18

Calls

4 calls:

697.0ms	(+.f64 (.f64 (+.f64 -1 x) (.f64 2 (log.f64 (pow.f64 y 1/3)))) (*.f64 (+.f64 -1 x) (log.f64 (cbrt.f64 y))))
76.0ms	(cbrt.f64 y)
72.0ms	(pow.f64 y 1/3)
20.0ms	(*.f64 1/3 y)

Compiler

Compiled 1934 to 1539 computations (20.4% saved)

simplify75.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4884	1402
1	4884	1402

prune199.0ms (1.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	121	0	121
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	121	6	127

Error

0.0b

Counts

127 → 6

Compiler

Compiled 4687 to 2863 computations (38.9% saved)

regimes1.1s (10.2%)

Accuracy

Total 0.2b remaining (88.5%)

Threshold costs 0.2b (88.5%)

Compiler

Compiled 14645 to 12563 computations (14.2% saved)

bsearch0.0ms (0%)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	234	36
1	234	36

end0.0ms (0%)

sample2.9s (26.6%)

Algorithm

1×

intervals

Results

472.0ms	6143×	body	128	valid
250.0ms	476×	body	1024	valid
216.0ms	772×	body	512	valid
104.0ms	607×	body	256	valid
20.0ms	252×	body	128	nan
2.0ms	28×	body	128	invalid
1.0ms	2×	body	2048	valid

Compiler

Compiled 1798 to 1543 computations (14.2% saved)

Details

analyze492.0ms (4.5%)

sample44.0ms (0.4%)

simplify132.0ms (1.2%)

prune3.0ms (0%)

localize13.0ms (0.1%)

rewrite368.0ms (3.3%)

series1.2s (11.2%)

simplify56.0ms (0.5%)

prune201.0ms (1.8%)

localize17.0ms (0.2%)

rewrite171.0ms (1.5%)

series1.2s (11.3%)

simplify75.0ms (0.7%)

prune194.0ms (1.8%)

localize22.0ms (0.2%)

rewrite208.0ms (1.9%)

series790.0ms (7.2%)

simplify65.0ms (0.6%)

prune184.0ms (1.7%)

localize28.0ms (0.3%)

rewrite256.0ms (2.3%)

series895.0ms (8.1%)

simplify75.0ms (0.7%)

prune199.0ms (1.8%)

regimes1.1s (10.2%)

bsearch0.0ms (0%)

simplify6.0ms (0.1%)

end0.0ms (0%)

sample2.9s (26.6%)

Profiling