Details

analyze457.0ms (6.8%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4949	72
1	4949	72
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
0%	74.9%	25.1%	6
6.2%	68.6%	25.1%	7
10.1%	64.7%	25.1%	8
17.2%	32.8%	50.1%	9
23%	26.9%	50.1%	10
26.8%	23.1%	50.1%	11
31.6%	18.3%	50.1%	12
35.2%	14.7%	50.1%	13
37.5%	12.4%	50.1%	14

Compiler

Compiled 13 to 11 computations (15.4% saved)

sample21.0ms (0.3%)

Algorithm

1×

intervals

Results

11.0ms

256×

body

128

valid

Compiler

Compiled 25 to 24 computations (4% saved)

simplify170.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (164.0ms)

Iter	Nodes	Cost
0	4948	18
1	4948	18

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

0.1b

Counts

2 → 1

Compiler

Compiled 24 to 20 computations (16.7% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) z)
0.0b	(-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y)))
0.1b	(+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y)
0.2b	(*.f64 (+.f64 y 1/2) (log.f64 y))

rewrite118.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

20×	`add-log-exp_binary64_12734` `*-un-lft-identity_binary64_12695`
15×	`add-sqr-sqrt_binary64_12717`
12×	`log-prod_binary64_12781`
11×	`add-cube-cbrt_binary64_12730`
7×	`pow1_binary64_12756`
6×	`add-exp-log_binary64_12733` `add-cbrt-cube_binary64_12731` `distribute-rgt-in_binary64_12645` `distribute-lft-in_binary64_12644` `diff-log_binary64_12787` `associate--r+_binary64_12631`
5×	`cancel-sign-sub-inv_binary64_12661`
4×	`associate-l_binary64_12636` `associate-r_binary64_12635` `sum-log_binary64_12786`
3×	`distribute-lft-out_binary64_12646` `sub-neg_binary64_12688`
2×	`flip3-+_binary64_12698` `associate-*l/_binary64_12638` `flip-+_binary64_12669` `associate-+l-_binary64_12630` `associate-+l+_binary64_12628` `flip3--_binary64_12699` `flip--_binary64_12670` `distribute-lft-out--_binary64_12647`
1×	`pow-prod-down_binary64_12766` `prod-exp_binary64_12744` `cbrt-unprod_binary64_12728` `unswap-sqr_binary64_12663` `log-pow_binary64_12784` `*-commutative_binary64_12626` `+-commutative_binary64_12625` `difference-of-squares_binary64_12664` `associate--l-_binary64_12633` `associate--l+_binary64_12632`

Counts

4 → 83

Calls

4 calls:

9.0ms	(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) z)
7.0ms	(*.f64 (+.f64 y 1/2) (log.f64 y))
6.0ms	(+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y)
4.0ms	(-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y)))

Compiler

Compiled 1701 to 938 computations (44.9% saved)

series982.0ms (14.7%)

Error

0.1b

Counts

4 → 44

Calls

4 calls:

391.0ms	(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) z)
244.0ms	(+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y)
235.0ms	(-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y)))
80.0ms	(*.f64 (+.f64 y 1/2) (log.f64 y))

Compiler

Compiled 1495 to 1049 computations (29.8% saved)

simplify114.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 0 (91.0ms)

Iter	Nodes	Cost
0	4804	1914
1	4804	1914

prune118.0ms (1.8%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	121	6	127
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	122	6	128

Error

0.0b

Counts

128 → 6

Compiler

Compiled 2051 to 1070 computations (47.8% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (+.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 1/2 y))) x) z)
0.0b	(+.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 1/2 y))) x)
0.1b	(-.f64 y (*.f64 (log.f64 y) (+.f64 1/2 y)))
0.2b	(*.f64 (log.f64 y) (+.f64 1/2 y))

rewrite95.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

20×	`add-log-exp_binary64_12734`
16×	`*-un-lft-identity_binary64_12695`
11×	`add-sqr-sqrt_binary64_12717`
7×	`pow1_binary64_12756` `add-cube-cbrt_binary64_12730`
6×	`add-exp-log_binary64_12733` `add-cbrt-cube_binary64_12731` `diff-log_binary64_12787`
5×	`cancel-sign-sub-inv_binary64_12661`
4×	`associate-l_binary64_12636` `associate-r_binary64_12635` `sum-log_binary64_12786`
3×	`distribute-lft-out_binary64_12646` `sub-neg_binary64_12688`
2×	`distribute-rgt-in_binary64_12645` `distribute-lft-in_binary64_12644` `flip3-+_binary64_12698` `associate-*r/_binary64_12637` `flip-+_binary64_12669` `flip3--_binary64_12699` `flip--_binary64_12670` `associate--r+_binary64_12631` `associate-+l-_binary64_12630` `associate-+l+_binary64_12628` `distribute-lft-out--_binary64_12647`
1×	`pow-prod-down_binary64_12766` `prod-exp_binary64_12744` `cbrt-unprod_binary64_12728` `unswap-sqr_binary64_12663` `log-pow_binary64_12784` `*-commutative_binary64_12626` `+-commutative_binary64_12625` `difference-of-squares_binary64_12664` `associate--l-_binary64_12633` `associate--l+_binary64_12632`

Counts

4 → 75

Calls

4 calls:

8.0ms	(-.f64 (+.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 1/2 y))) x) z)
6.0ms	(*.f64 (log.f64 y) (+.f64 1/2 y))
6.0ms	(+.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 1/2 y))) x)
3.0ms	(-.f64 y (*.f64 (log.f64 y) (+.f64 1/2 y)))

Compiler

Compiled 1505 to 829 computations (44.9% saved)

series856.0ms (12.8%)

Error

0.0b

Counts

4 → 38

Calls

4 calls:

401.0ms	(-.f64 (+.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 1/2 y))) x) z)
236.0ms	(+.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 1/2 y))) x)
115.0ms	(-.f64 y (*.f64 (log.f64 y) (+.f64 1/2 y)))
79.0ms	(*.f64 (log.f64 y) (+.f64 1/2 y))

Compiler

Compiled 1314 to 941 computations (28.4% saved)

simplify103.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (79.0ms)

Iter	Nodes	Cost
0	4785	1688
1	4785	1688

prune85.0ms (1.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	113	6	119

Error

0.0b

Counts

119 → 6

Compiler

Compiled 1788 to 867 computations (51.5% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 (+.f64 1/2 y) (.f64 (log.f64 (cbrt.f64 y)) 2))
0.3b	(+.f64 (.f64 (+.f64 1/2 y) (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 (+.f64 1/2 y) (log.f64 (cbrt.f64 y))))
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)

rewrite131.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

13×	`*-un-lft-identity_binary64_12695`
12×	`cbrt-prod_binary64_12726` `log-prod_binary64_12781` `associate-+r+_binary64_12627`
11×	`add-cube-cbrt_binary64_12730` `add-sqr-sqrt_binary64_12717`
10×	`associate-*l/_binary64_12638`
9×	`pow1_binary64_12756` `add-exp-log_binary64_12733` `add-cbrt-cube_binary64_12731`
6×	`add-log-exp_binary64_12734` `flip3-+_binary64_12698` `flip-+_binary64_12669` `distribute-rgt-in_binary64_12645` `distribute-lft-in_binary64_12644`
4×	`frac-add_binary64_12703` `associate-l_binary64_12636`
3×	`pow-prod-down_binary64_12766` `prod-exp_binary64_12744` `cbrt-unprod_binary64_12728`
2×	`pow1/3_binary64_12777` `distribute-lft-out_binary64_12646`
1×	`sum-log_binary64_12786` `+-commutative_binary64_12625` `associate-r_binary64_12635` `*-commutative_binary64_12626`

Counts

4 → 71

Calls

4 calls:

11.0ms	(+.f64 (.f64 (+.f64 1/2 y) (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 (+.f64 1/2 y) (log.f64 (cbrt.f64 y))))
8.0ms	(.f64 (+.f64 1/2 y) (.f64 (log.f64 (cbrt.f64 y)) 2))
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

Compiler

Compiled 2368 to 1316 computations (44.4% saved)

series542.0ms (8.1%)

Error

0.0b

Counts

4 → 16

Calls

4 calls:

223.0ms	(+.f64 (.f64 (+.f64 1/2 y) (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 (+.f64 1/2 y) (log.f64 (cbrt.f64 y))))
149.0ms	(.f64 (+.f64 1/2 y) (.f64 (log.f64 (cbrt.f64 y)) 2))
75.0ms	(cbrt.f64 y)
75.0ms	(cbrt.f64 y)

Compiler

Compiled 1074 to 849 computations (20.9% saved)

simplify46.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5664	1205

prune103.0ms (1.5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	84	3	87
Fresh	3	1	4
Picked	0	1	1
Done	0	1	1
Total	87	6	93

Error

Counts

93 → 6

Compiler

Compiled 2311 to 1319 computations (42.9% saved)

localize22.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (cbrt.f64 y))
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)

rewrite71.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

18×	`cbrt-prod_binary64_12726`
9×	`add-cube-cbrt_binary64_12730` `add-sqr-sqrt_binary64_12717` `*-un-lft-identity_binary64_12695`
4×	`pow1/3_binary64_12777` `pow1_binary64_12756` `add-log-exp_binary64_12734` `add-exp-log_binary64_12733` `add-cbrt-cube_binary64_12731`

Counts

4 → 47

Calls

4 calls:

2.0ms	(cbrt.f64 (cbrt.f64 y))
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

Compiler

Compiled 1574 to 719 computations (54.3% saved)

series371.0ms (5.5%)

Error

Counts

4 → 12

Calls

4 calls:

106.0ms	(cbrt.f64 (cbrt.f64 y))
92.0ms	(cbrt.f64 y)
79.0ms	(cbrt.f64 y)
77.0ms	(cbrt.f64 y)

Compiler

Compiled 1137 to 824 computations (27.5% saved)

simplify86.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	4718	376
1	4718	376

prune78.0ms (1.2%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	59	0	59
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	59	6	65

Error

Counts

65 → 6

Compiler

Compiled 1889 to 916 computations (51.5% saved)

regimes495.0ms (7.4%)

Accuracy

Total 0.1b remaining (97.6%)

Threshold costs 0.1b (97.6%)

Compiler

Compiled 4714 to 3796 computations (19.5% saved)

bsearch0.0ms (0%)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	199	18
1	199	18

end0.0ms (0%)

sample1.6s (23.7%)

Algorithm

1×

intervals

Results

367.0ms	8000×	body	128	valid
2.0ms	41×	body	128	invalid

Compiler

Compiled 958 to 772 computations (19.4% saved)

Details

analyze457.0ms (6.8%)

sample21.0ms (0.3%)

simplify170.0ms (2.5%)

prune3.0ms (0%)

localize9.0ms (0.1%)

rewrite118.0ms (1.8%)

series982.0ms (14.7%)

simplify114.0ms (1.7%)

prune118.0ms (1.8%)

localize9.0ms (0.1%)

rewrite95.0ms (1.4%)

series856.0ms (12.8%)

simplify103.0ms (1.5%)

prune85.0ms (1.3%)

localize15.0ms (0.2%)

rewrite131.0ms (2%)

series542.0ms (8.1%)

simplify46.0ms (0.7%)

prune103.0ms (1.5%)

localize22.0ms (0.3%)

rewrite71.0ms (1.1%)

series371.0ms (5.5%)

simplify86.0ms (1.3%)

prune78.0ms (1.2%)

regimes495.0ms (7.4%)

bsearch0.0ms (0%)

simplify6.0ms (0.1%)

end0.0ms (0%)

sample1.6s (23.7%)

Profiling