Details

analyze1.0s (10.7%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5270	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%	74.9%	25.1%	4
0%	74.9%	25.1%	5
0%	62.4%	37.6%	6
12.5%	43.7%	43.8%	7
12.5%	43.7%	43.8%	8
25%	28.1%	47%	9
28.1%	20.3%	51.6%	10
28.1%	20.3%	51.6%	11
34.3%	13.3%	52.4%	12
35.9%	9.8%	54.4%	13
35.9%	9.8%	54.4%	14

Compiler

Compiled 13 to 12 computations (7.7% saved)

sample35.0ms (0.4%)

Algorithm

1×

intervals

Results

20.0ms	256×	body	128	valid
1.0ms	9×	body	128	invalid
0.0ms	3×	body	128	nan

Compiler

Compiled 25 to 26 computations (-4% saved)

simplify667.0ms (6.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (654.0ms)

Iter	Nodes	Cost
0	4889	18
1	4889	18

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

0.1b

Counts

2 → 1

Compiler

Compiled 24 to 22 computations (8.3% saved)

localize17.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite34.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`*-un-lft-identity_binary64_10649`
7×	`associate-r_binary64_10589`
6×	`pow1_binary64_10710` `add-sqr-sqrt_binary64_10671`
4×	`add-log-exp_binary64_10688` `add-cbrt-cube_binary64_10685` `add-exp-log_binary64_10687` `distribute-lft-out_binary64_10600` `add-cube-cbrt_binary64_10684`
3×	`associate-l_binary64_10590`
2×	`log-pow_binary64_10738` `distribute-rgt-in_binary64_10599` `distribute-lft-out--_binary64_10601` `distribute-lft-in_binary64_10598` `flip-+_binary64_10623` `flip3-+_binary64_10652` `associate-*r/_binary64_10591` `associate-+r+_binary64_10581`
1×	`prod-exp_binary64_10698` `cbrt-unprod_binary64_10682` `sum-log_binary64_10740` `pow-prod-down_binary64_10720` `unswap-sqr_binary64_10617` `+-commutative_binary64_10579` `*-commutative_binary64_10580`

Counts

2 → 39

Calls

2 calls:

18.0ms	(*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))
11.0ms	(+.f64 (.f64 x 1/2) (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))

series778.0ms (7.9%)

Counts

2 → 25

Calls

2 calls:

544.0ms	(+.f64 (.f64 x 1/2) (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))
234.0ms	(*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))

Compiler

Compiled 487 to 418 computations (14.2% saved)

simplify81.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4933	964
1	4933	964

prune118.0ms (1.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	60	4	64
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	60	5	65

Error

0.0b

Counts

65 → 5

Compiler

Compiled 1053 to 642 computations (39% saved)

localize21.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

rewrite61.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-sqr-sqrt_binary64_10671`
12×	`log-prod_binary64_10735`
11×	`*-un-lft-identity_binary64_10649` `add-cube-cbrt_binary64_10684`
10×	`add-log-exp_binary64_10688` `distribute-rgt-in_binary64_10599` `distribute-lft-in_binary64_10598`
8×	`associate-+l+_binary64_10582`
7×	`associate-+r+_binary64_10581`
6×	`pow1_binary64_10710` `cancel-sign-sub-inv_binary64_10615`
5×	`add-cbrt-cube_binary64_10685` `add-exp-log_binary64_10687`
4×	`sum-log_binary64_10740` `associate-r_binary64_10589`
3×	`associate-l_binary64_10590`
2×	`sub-neg_binary64_10642` `+-commutative_binary64_10579` `flip-+_binary64_10623` `flip3-+_binary64_10652`
1×	`prod-exp_binary64_10698` `cbrt-unprod_binary64_10682` `log-pow_binary64_10738` `pow-prod-down_binary64_10720` `unswap-sqr_binary64_10617` `*-commutative_binary64_10580` `distribute-lft-out_binary64_10600`

Counts

3 → 64

Calls

3 calls:

23.0ms	(+.f64 (.f64 x 1/2) (+.f64 (.f64 y (-.f64 1 z)) (*.f64 y (log.f64 z))))
18.0ms	(+.f64 (.f64 y (-.f64 1 z)) (.f64 y (log.f64 z)))
9.0ms	(*.f64 y (log.f64 z))

series1.0s (10.4%)

Counts

3 → 31

Calls

3 calls:

518.0ms	(+.f64 (.f64 x 1/2) (+.f64 (.f64 y (-.f64 1 z)) (*.f64 y (log.f64 z))))
265.0ms	(+.f64 (.f64 y (-.f64 1 z)) (.f64 y (log.f64 z)))
231.0ms	(*.f64 y (log.f64 z))

Compiler

Compiled 677 to 583 computations (13.9% saved)

simplify123.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (86.0ms)

Iter	Nodes	Cost
0	4988	1300
1	4988	1300

prune158.0ms (1.6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	93	2	95
Fresh	2	1	3
Picked	0	1	1
Done	0	1	1
Total	95	5	100

Error

Counts

100 → 5

Compiler

Compiled 1605 to 887 computations (44.7% saved)

localize29.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

rewrite49.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`add-sqr-sqrt_binary64_10671`
10×	`*-un-lft-identity_binary64_10649` `add-cube-cbrt_binary64_10684`
9×	`pow1_binary64_10710`
8×	`add-cbrt-cube_binary64_10685` `add-exp-log_binary64_10687` `associate-l_binary64_10590`
6×	`cbrt-prod_binary64_10680` `associate-r_binary64_10589`
4×	`add-log-exp_binary64_10688`
3×	`pow1/3_binary64_10731`
2×	`prod-exp_binary64_10698` `cbrt-unprod_binary64_10682` `log-pow_binary64_10738` `pow-prod-down_binary64_10720` `unswap-sqr_binary64_10617` `-commutative_binary64_10580` `associate-r/_binary64_10591`
1×	`distribute-rgt-in_binary64_10599` `distribute-lft-in_binary64_10598` `flip-+_binary64_10623` `flip3-+_binary64_10652`

Counts

4 → 64

Calls

4 calls:

21.0ms	(.f64 y (+.f64 (.f64 2 (log.f64 (cbrt.f64 z))) (-.f64 1 z)))
9.0ms	(*.f64 (log.f64 (cbrt.f64 z)) y)
2.0ms	(cbrt.f64 z)
2.0ms	(cbrt.f64 z)

series1.2s (12.2%)

Counts

4 → 20

Calls

4 calls:

486.0ms	(.f64 y (+.f64 (.f64 2 (log.f64 (cbrt.f64 z))) (-.f64 1 z)))
446.0ms	(*.f64 (log.f64 (cbrt.f64 z)) y)
133.0ms	(cbrt.f64 z)
128.0ms	(cbrt.f64 z)

Compiler

Compiled 873 to 752 computations (13.9% saved)

simplify126.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (100.0ms)

Iter	Nodes	Cost
0	5044	924

prune168.0ms (1.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	83	1	84
Fresh	1	1	2
Picked	1	0	1
Done	0	2	2
Total	85	4	89

Error

Counts

89 → 4

Compiler

Compiled 2109 to 1106 computations (47.6% saved)

localize37.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 y (+.f64 (.f64 2 (log.f64 (pow.f64 z 1/3))) (-.f64 1 z)))
0.3b	(*.f64 (log.f64 (cbrt.f64 z)) y)
0.6b	(cbrt.f64 z)
5.1b	(pow.f64 z 1/3)

rewrite42.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`add-sqr-sqrt_binary64_10671`
11×	`*-un-lft-identity_binary64_10649` `add-cube-cbrt_binary64_10684`
10×	`pow1_binary64_10710`
9×	`add-exp-log_binary64_10687`
8×	`add-cbrt-cube_binary64_10685` `associate-l_binary64_10590`
6×	`associate-r_binary64_10589`
4×	`add-log-exp_binary64_10688`
3×	`cbrt-prod_binary64_10680` `pow-unpow_binary64_10726` `unpow-prod-down_binary64_10728`
2×	`prod-exp_binary64_10698` `cbrt-unprod_binary64_10682` `log-pow_binary64_10738` `pow-prod-down_binary64_10720` `unswap-sqr_binary64_10617` `-commutative_binary64_10580` `pow1/3_binary64_10731` `associate-r/_binary64_10591`
1×	`sqr-pow_binary64_10621` `pow-pow_binary64_10721` `distribute-rgt-in_binary64_10599` `unpow1/3_binary64_10716` `distribute-lft-in_binary64_10598` `pow-exp_binary64_10717` `flip-+_binary64_10623` `pow-to-exp_binary64_10718` `flip3-+_binary64_10652`

Counts

4 → 71

Calls

4 calls:

18.0ms	(.f64 y (+.f64 (.f64 2 (log.f64 (pow.f64 z 1/3))) (-.f64 1 z)))
8.0ms	(*.f64 (log.f64 (cbrt.f64 z)) y)
4.0ms	(pow.f64 z 1/3)
2.0ms	(cbrt.f64 z)

series1.2s (12.1%)

Counts

4 → 20

Calls

4 calls:

483.0ms	(.f64 y (+.f64 (.f64 2 (log.f64 (pow.f64 z 1/3))) (-.f64 1 z)))
440.0ms	(*.f64 (log.f64 (cbrt.f64 z)) y)
137.0ms	(pow.f64 z 1/3)
122.0ms	(cbrt.f64 z)

Compiler

Compiled 897 to 776 computations (13.5% saved)

simplify133.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (105.0ms)

Iter	Nodes	Cost
0	5014	941

prune190.0ms (1.9%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	91	0	91
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	91	4	95

Error

Counts

95 → 4

Compiler

Compiled 2276 to 1323 computations (41.9% saved)

regimes549.0ms (5.6%)

Accuracy

Total 0.1b remaining (94.4%)

Threshold costs 0.1b (94.4%)

Compiler

Compiled 2717 to 2236 computations (17.7% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	18
1	26	18

end0.0ms (0%)

sample1.9s (19.7%)

Algorithm

1×

intervals

Results

698.0ms	8000×	body	128	valid
30.0ms	311×	body	128	invalid
5.0ms	71×	body	128	nan

Compiler

Compiled 416 to 344 computations (17.3% saved)

Details

analyze1.0s (10.7%)

sample35.0ms (0.4%)

simplify667.0ms (6.8%)

prune4.0ms (0%)

localize17.0ms (0.2%)

rewrite34.0ms (0.3%)

series778.0ms (7.9%)

simplify81.0ms (0.8%)

prune118.0ms (1.2%)

localize21.0ms (0.2%)

rewrite61.0ms (0.6%)

series1.0s (10.4%)

simplify123.0ms (1.3%)

prune158.0ms (1.6%)

localize29.0ms (0.3%)

rewrite49.0ms (0.5%)

series1.2s (12.2%)

simplify126.0ms (1.3%)

prune168.0ms (1.7%)

localize37.0ms (0.4%)

rewrite42.0ms (0.4%)

series1.2s (12.1%)

simplify133.0ms (1.4%)

prune190.0ms (1.9%)

regimes549.0ms (5.6%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample1.9s (19.7%)

Profiling