Details

analyze246.0ms (3.7%)

Algorithm

1×

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

12.0ms

256×

body

128

valid

Compiler

Compiled 25 to 24 computations (4% saved)

simplify267.0ms (4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (101.0ms)

Iter	Nodes	Cost
0	1363	18
1	1363	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

Merged error: 0.1b

Counts

2 → 1

Compiler

Compiled 24 to 20 computations (16.7% saved)

localize10.0ms (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)
0.1b	(*.f64 (+.f64 y 1/2) (log.f64 y))

rewrite36.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`add-log-exp_binary64_10560`
19×	`*-un-lft-identity_binary64_10524`
14×	`add-sqr-sqrt_binary64_10545`
12×	`log-prod_binary64_10607`
10×	`add-cube-cbrt_binary64_10556`
7×	`pow1_binary64_10582`
6×	`associate--r+_binary64_10462` `add-exp-log_binary64_10559` `add-cbrt-cube_binary64_10557` `distribute-lft-in_binary64_10475` `distribute-rgt-in_binary64_10476` `diff-log_binary64_10613`
4×	`associate-l_binary64_10467` `sum-log_binary64_10612` `associate-r_binary64_10466`
3×	`sub-neg_binary64_10517` `distribute-lft-out_binary64_10477`
2×	`flip--_binary64_10499` `flip3--_binary64_10528` `distribute-lft-out--_binary64_10478` `flip3-+_binary64_10527` `associate-*l/_binary64_10469` `flip-+_binary64_10498` `associate-+l-_binary64_10461`
1×	`pow-prod-down_binary64_10592` `prod-exp_binary64_10570` `+-commutative_binary64_10456` `*-commutative_binary64_10457` `cbrt-unprod_binary64_10554` `difference-of-squares_binary64_10493` `associate-+l+_binary64_10459` `unswap-sqr_binary64_10492` `associate--l+_binary64_10463` `log-pow_binary64_10610` `associate--l-_binary64_10464`

Counts

4 → 78

Calls

4 calls:

10.0ms	(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) z)
8.0ms	(*.f64 (+.f64 y 1/2) (log.f64 y))
7.0ms	(+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y)
5.0ms	(-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y)))

series401.0ms (6%)

Counts

4 → 12

Calls

4 calls:

170.0ms	(*.f64 (+.f64 y 1/2) (log.f64 y))
92.0ms	(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) z)
77.0ms	(+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y)
63.0ms	(-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y)))

simplify72.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4907	1605
1	4907	1605

prune98.0ms (1.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	83	7	90
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	83	8	91

Merged error: 0.0b

Counts

91 → 8

Compiler

Compiled 1756 to 1000 computations (43.1% saved)

localize19.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

rewrite39.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`*-un-lft-identity_binary64_10524` `add-log-exp_binary64_10560`
12×	`cbrt-prod_binary64_10552` `log-prod_binary64_10607` `associate-+r+_binary64_10458`
10×	`add-sqr-sqrt_binary64_10545` `add-cube-cbrt_binary64_10556`
8×	`associate-*l/_binary64_10469`
6×	`flip3-+_binary64_10527` `distribute-lft-in_binary64_10475` `flip-+_binary64_10498` `distribute-rgt-in_binary64_10476`
5×	`sum-log_binary64_10612`
4×	`pow1_binary64_10582` `add-exp-log_binary64_10559` `add-cbrt-cube_binary64_10557` `frac-add_binary64_10532`
3×	`distribute-lft-out_binary64_10477`
2×	`+-commutative_binary64_10456` `pow1/3_binary64_10603` `diff-log_binary64_10613`
1×	`sub-neg_binary64_10517` `associate-+l+_binary64_10459` `distribute-lft-out--_binary64_10478` `associate-+l-_binary64_10461`

Counts

4 → 67

Calls

4 calls:

15.0ms	(+.f64 (-.f64 x (+.f64 (.f64 (+.f64 y 1/2) (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 (+.f64 y 1/2) (log.f64 (cbrt.f64 y))))) y)
13.0ms	(+.f64 (.f64 (+.f64 y 1/2) (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 (+.f64 y 1/2) (log.f64 (cbrt.f64 y))))
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

series1.2s (17.9%)

Counts

4 → 12

Calls

4 calls:

730.0ms	(+.f64 (.f64 (+.f64 y 1/2) (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 (+.f64 y 1/2) (log.f64 (cbrt.f64 y))))
156.0ms	(cbrt.f64 y)
152.0ms	(+.f64 (-.f64 x (+.f64 (.f64 (+.f64 y 1/2) (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 (+.f64 y 1/2) (log.f64 (cbrt.f64 y))))) y)
149.0ms	(cbrt.f64 y)

simplify48.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	5423	1370

prune102.0ms (1.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	77	2	79
Fresh	2	4	6
Picked	1	0	1
Done	0	1	1
Total	80	7	87

Merged error: 0.0b

Counts

87 → 7

Compiler

Compiled 2101 to 1234 computations (41.3% saved)

localize26.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

rewrite42.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`*-un-lft-identity_binary64_10524`
15×	`add-log-exp_binary64_10560`
12×	`log-prod_binary64_10607` `associate-+r+_binary64_10458`
11×	`add-sqr-sqrt_binary64_10545` `add-cube-cbrt_binary64_10556`
9×	`cbrt-prod_binary64_10552`
8×	`associate-*l/_binary64_10469`
6×	`flip3-+_binary64_10527` `distribute-lft-in_binary64_10475` `flip-+_binary64_10498` `distribute-rgt-in_binary64_10476`
5×	`pow1_binary64_10582` `add-exp-log_binary64_10559` `sum-log_binary64_10612`
4×	`add-cbrt-cube_binary64_10557` `frac-add_binary64_10532`
3×	`pow-unpow_binary64_10598` `unpow-prod-down_binary64_10600` `distribute-lft-out_binary64_10477`
2×	`+-commutative_binary64_10456` `diff-log_binary64_10613`
1×	`sub-neg_binary64_10517` `pow-pow_binary64_10593` `pow-to-exp_binary64_10590` `associate-+l+_binary64_10459` `distribute-lft-out--_binary64_10478` `pow1/3_binary64_10603` `pow-exp_binary64_10589` `unpow1/3_binary64_10588` `sqr-pow_binary64_10496` `associate-+l-_binary64_10461`

Counts

4 → 74

Calls

4 calls:

15.0ms	(+.f64 (-.f64 x (+.f64 (.f64 (+.f64 y 1/2) (.f64 (log.f64 (pow.f64 y 1/3)) 2)) (*.f64 (+.f64 y 1/2) (log.f64 (cbrt.f64 y))))) y)
14.0ms	(+.f64 (.f64 (+.f64 y 1/2) (.f64 (log.f64 (pow.f64 y 1/3)) 2)) (*.f64 (+.f64 y 1/2) (log.f64 (cbrt.f64 y))))
3.0ms	(pow.f64 y 1/3)
1.0ms	(cbrt.f64 y)

series1.5s (22.9%)

Counts

4 → 12

Calls

4 calls:

1.0s	(+.f64 (.f64 (+.f64 y 1/2) (.f64 (log.f64 (pow.f64 y 1/3)) 2)) (*.f64 (+.f64 y 1/2) (log.f64 (cbrt.f64 y))))
201.0ms	(+.f64 (-.f64 x (+.f64 (.f64 (+.f64 y 1/2) (.f64 (log.f64 (pow.f64 y 1/3)) 2)) (*.f64 (+.f64 y 1/2) (log.f64 (cbrt.f64 y))))) y)
159.0ms	(cbrt.f64 y)
152.0ms	(pow.f64 y 1/3)

simplify47.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5943	1445

prune114.0ms (1.7%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	85	1	86
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	85	8	93

Merged error: 0.0b

Counts

93 → 8

Compiler

Compiled 2334 to 1433 computations (38.6% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (*.f64 y 3) 3/2)
0.1b	(+.f64 (-.f64 x (.f64 (log.f64 (cbrt.f64 y)) (+.f64 (.f64 y 3) 3/2))) y)
0.3b	(.f64 (log.f64 (cbrt.f64 y)) (+.f64 (.f64 y 3) 3/2))
0.6b	(cbrt.f64 y)

rewrite25.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`add-log-exp_binary64_10560`
9×	`add-sqr-sqrt_binary64_10545` `*-un-lft-identity_binary64_10524`
7×	`pow1_binary64_10582` `add-cube-cbrt_binary64_10556`
6×	`add-exp-log_binary64_10559` `add-cbrt-cube_binary64_10557`
5×	`associate-l_binary64_10467`
3×	`cbrt-prod_binary64_10552` `sum-log_binary64_10612` `flip3-+_binary64_10527` `flip-+_binary64_10498` `associate-r_binary64_10466`
2×	`+-commutative_binary64_10456` `pow1/3_binary64_10603` `associate-*r/_binary64_10468` `log-pow_binary64_10610`
1×	`sub-neg_binary64_10517` `pow-prod-down_binary64_10592` `prod-exp_binary64_10570` `*-commutative_binary64_10457` `cbrt-unprod_binary64_10554` `associate-+l+_binary64_10459` `distribute-lft-out_binary64_10477` `unswap-sqr_binary64_10492` `distribute-lft-in_binary64_10475` `distribute-rgt-in_binary64_10476` `diff-log_binary64_10613` `associate-+l-_binary64_10461`

Counts

4 → 61

Calls

4 calls:

8.0ms	(.f64 (log.f64 (cbrt.f64 y)) (+.f64 (.f64 y 3) 3/2))
6.0ms	(+.f64 (-.f64 x (.f64 (log.f64 (cbrt.f64 y)) (+.f64 (.f64 y 3) 3/2))) y)
5.0ms	(+.f64 (*.f64 y 3) 3/2)
2.0ms	(cbrt.f64 y)

series807.0ms (12.2%)

Counts

4 → 12

Calls

4 calls:

453.0ms	(.f64 (log.f64 (cbrt.f64 y)) (+.f64 (.f64 y 3) 3/2))
152.0ms	(+.f64 (-.f64 x (.f64 (log.f64 (cbrt.f64 y)) (+.f64 (.f64 y 3) 3/2))) y)
150.0ms	(cbrt.f64 y)
52.0ms	(+.f64 (*.f64 y 3) 3/2)

simplify66.0ms (1%)

Algorithm

1×	egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4908	954
1	4908	954

prune71.0ms (1.1%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	71	2	73
Fresh	1	4	5
Picked	0	1	1
Done	1	1	2
Total	73	8	81

Merged error: 0b

Counts

81 → 8

Compiler

Compiled 1353 to 791 computations (41.5% saved)

regimes244.0ms (3.7%)

Compiler: Compiled 2275 to 1841 computations (19.1% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	64	18
1	64	18

end0.0ms (0%)

sample1.1s (16.7%)

Algorithm

1×

intervals

Results

387.0ms	7997×	body	128	valid
1.0ms	32×	body	128	invalid
1.0ms	3×	body	1024	valid

Compiler

Compiled 482 to 391 computations (18.9% saved)

Details

analyze246.0ms (3.7%)

sample21.0ms (0.3%)

simplify267.0ms (4%)

prune3.0ms (0%)

localize10.0ms (0.1%)

rewrite36.0ms (0.5%)

series401.0ms (6%)

simplify72.0ms (1.1%)

prune98.0ms (1.5%)

localize19.0ms (0.3%)

rewrite39.0ms (0.6%)

series1.2s (17.9%)

simplify48.0ms (0.7%)

prune102.0ms (1.5%)

localize26.0ms (0.4%)

rewrite42.0ms (0.6%)

series1.5s (22.9%)

simplify47.0ms (0.7%)

prune114.0ms (1.7%)

localize12.0ms (0.2%)

rewrite25.0ms (0.4%)

series807.0ms (12.2%)

simplify66.0ms (1%)

prune71.0ms (1.1%)

regimes244.0ms (3.7%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.1s (16.7%)

Profiling