Details

analyze240.0ms (5.2%)

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)

sample20.0ms (0.4%)

Algorithm

1×

intervals

Results

12.0ms

256×

body

128

valid

Compiler

Compiled 25 to 24 computations (4% saved)

simplify271.0ms (5.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (180.0ms)

Iter	Nodes	Cost
0	4948	18
1	4948	18

prune3.0ms (0.1%)

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)

localize10.0ms (0.2%)

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))

rewrite39.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`add-log-exp_binary64_10688` `*-un-lft-identity_binary64_10649`
15×	`add-sqr-sqrt_binary64_10671`
12×	`log-prod_binary64_10735`
11×	`add-cube-cbrt_binary64_10684`
7×	`pow1_binary64_10710`
6×	`add-cbrt-cube_binary64_10685` `associate--r+_binary64_10585` `add-exp-log_binary64_10687` `distribute-rgt-in_binary64_10599` `distribute-lft-in_binary64_10598` `diff-log_binary64_10741`
5×	`cancel-sign-sub-inv_binary64_10615`
4×	`sum-log_binary64_10740` `associate-r_binary64_10589` `associate-l_binary64_10590`
3×	`sub-neg_binary64_10642` `distribute-lft-out_binary64_10600`
2×	`associate-+l-_binary64_10584` `associate-*l/_binary64_10592` `associate-+l+_binary64_10582` `distribute-lft-out--_binary64_10601` `flip-+_binary64_10623` `flip3--_binary64_10653` `flip--_binary64_10624` `flip3-+_binary64_10652`
1×	`prod-exp_binary64_10698` `cbrt-unprod_binary64_10682` `log-pow_binary64_10738` `pow-prod-down_binary64_10720` `difference-of-squares_binary64_10618` `unswap-sqr_binary64_10617` `+-commutative_binary64_10579` `associate--l+_binary64_10586` `*-commutative_binary64_10580` `associate--l-_binary64_10587`

Counts

4 → 83

Calls

4 calls:

9.0ms	(-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y)))
9.0ms	(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) z)
8.0ms	(*.f64 (+.f64 y 1/2) (log.f64 y))
6.0ms	(+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y)

series219.0ms (4.8%)

Counts

4 → 12

Calls

4 calls:

90.0ms	(*.f64 (+.f64 y 1/2) (log.f64 y))
50.0ms	(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) z)
40.0ms	(+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y)
38.0ms	(-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y)))

simplify96.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	4902	1632
1	4902	1632

prune103.0ms (2.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	88	7	95
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	88	8	96

Error

Counts

96 → 8

Compiler

Compiled 1822 to 1023 computations (43.9% saved)

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

rewrite33.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`log-prod_binary64_10735`
18×	`cbrt-prod_binary64_10680` `*-un-lft-identity_binary64_10649` `add-sqr-sqrt_binary64_10671`
16×	`add-cube-cbrt_binary64_10684`
12×	`distribute-rgt-in_binary64_10599` `distribute-lft-in_binary64_10598` `associate-+r+_binary64_10581`
10×	`associate-*l/_binary64_10592`
7×	`pow1_binary64_10710`
6×	`add-log-exp_binary64_10688` `add-cbrt-cube_binary64_10685` `add-exp-log_binary64_10687` `flip-+_binary64_10623` `flip3-+_binary64_10652`
5×	`associate-r_binary64_10589`
4×	`frac-add_binary64_10657` `associate-l_binary64_10590`
3×	`pow1/3_binary64_10731`
2×	`log-pow_binary64_10738` `distribute-lft-out_binary64_10600`
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

4 → 85

Calls

4 calls:

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

series813.0ms (17.8%)

Counts

4 → 12

Calls

4 calls:

423.0ms	(+.f64 (.f64 (+.f64 y 1/2) (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 (+.f64 y 1/2) (log.f64 (cbrt.f64 y))))
227.0ms	(*.f64 (+.f64 y 1/2) (log.f64 (cbrt.f64 y)))
83.0ms	(cbrt.f64 y)
80.0ms	(cbrt.f64 y)

simplify109.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (87.0ms)

Iter	Nodes	Cost
0	4892	1464
1	4892	1464

prune126.0ms (2.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	96	1	97
Fresh	1	5	6
Picked	1	0	1
Done	0	1	1
Total	98	7	105

Error

Counts

105 → 7

Compiler

Compiled 2744 to 1580 computations (42.4% saved)

localize17.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 3/2 (*.f64 y 3))
0.1b	(+.f64 (-.f64 x (.f64 (log.f64 (.f64 (cbrt.f64 (neg.f64 y)) (cbrt.f64 -1))) (+.f64 3/2 (*.f64 y 3)))) y)
0.3b	(.f64 (log.f64 (.f64 (cbrt.f64 (neg.f64 y)) (cbrt.f64 -1))) (+.f64 3/2 (*.f64 y 3)))
0.6b	(cbrt.f64 (neg.f64 y))

rewrite27.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`add-log-exp_binary64_10688` `*-un-lft-identity_binary64_10649` `add-sqr-sqrt_binary64_10671`
10×	`cbrt-prod_binary64_10680`
9×	`pow1_binary64_10710` `add-cube-cbrt_binary64_10684`
6×	`add-cbrt-cube_binary64_10685` `add-exp-log_binary64_10687` `associate-l_binary64_10590`
3×	`log-pow_binary64_10738` `sum-log_binary64_10740` `pow-prod-down_binary64_10720` `distribute-lft-neg-in_binary64_10606` `flip-+_binary64_10623` `pow1/3_binary64_10731` `flip3-+_binary64_10652` `distribute-rgt-neg-in_binary64_10607` `associate-r_binary64_10589`
2×	`+-commutative_binary64_10579` `associate-+l+_binary64_10582` `associate-*r/_binary64_10591`
1×	`prod-exp_binary64_10698` `cbrt-unprod_binary64_10682` `associate-+l-_binary64_10584` `sub-neg_binary64_10642` `unswap-sqr_binary64_10617` `cancel-sign-sub-inv_binary64_10615` `*-commutative_binary64_10580` `distribute-rgt-in_binary64_10599` `neg-mul-1_binary64_10645` `distribute-lft-in_binary64_10598` `distribute-lft-out_binary64_10600` `diff-log_binary64_10741`

Counts

4 → 70

Calls

4 calls:

10.0ms	(.f64 (log.f64 (.f64 (cbrt.f64 (neg.f64 y)) (cbrt.f64 -1))) (+.f64 3/2 (*.f64 y 3)))
6.0ms	(+.f64 (-.f64 x (.f64 (log.f64 (.f64 (cbrt.f64 (neg.f64 y)) (cbrt.f64 -1))) (+.f64 3/2 (*.f64 y 3)))) y)
3.0ms	(+.f64 3/2 (*.f64 y 3))
2.0ms	(cbrt.f64 (neg.f64 y))

series550.0ms (12%)

Counts

4 → 12

Calls

4 calls:

315.0ms	(.f64 (log.f64 (.f64 (cbrt.f64 (neg.f64 y)) (cbrt.f64 -1))) (+.f64 3/2 (*.f64 y 3)))
125.0ms	(+.f64 (-.f64 x (.f64 (log.f64 (.f64 (cbrt.f64 (neg.f64 y)) (cbrt.f64 -1))) (+.f64 3/2 (*.f64 y 3)))) y)
90.0ms	(cbrt.f64 (neg.f64 y))
19.0ms	(+.f64 3/2 (*.f64 y 3))

simplify64.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4943	1643
1	4943	1643

prune104.0ms (2.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	81	1	82
Fresh	2	3	5
Picked	0	1	1
Done	1	0	1
Total	84	5	89

Error

Counts

89 → 5

Compiler

Compiled 2090 to 1405 computations (32.8% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

rewrite32.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`log-prod_binary64_10735`
15×	`distribute-rgt-in_binary64_10599` `distribute-lft-in_binary64_10598` `*-un-lft-identity_binary64_10649` `add-sqr-sqrt_binary64_10671`
13×	`add-cube-cbrt_binary64_10684`
12×	`pow1_binary64_10710`
11×	`add-log-exp_binary64_10688` `add-cbrt-cube_binary64_10685` `add-exp-log_binary64_10687`
6×	`associate-l_binary64_10590`
5×	`associate-r_binary64_10589`
4×	`prod-exp_binary64_10698` `cbrt-unprod_binary64_10682` `associate-*l/_binary64_10592` `pow-prod-down_binary64_10720` `flip-+_binary64_10623` `flip3-+_binary64_10652`
3×	`sum-log_binary64_10740`
2×	`+-commutative_binary64_10579` `-commutative_binary64_10580` `associate-+l+_binary64_10582` `associate-r/_binary64_10591`
1×	`associate-+l-_binary64_10584` `log-pow_binary64_10738` `sub-neg_binary64_10642` `unswap-sqr_binary64_10617` `cancel-sign-sub-inv_binary64_10615` `distribute-lft-out_binary64_10600` `diff-log_binary64_10741`

Counts

4 → 86

Calls

4 calls:

8.0ms	(.f64 1/3 (.f64 (+.f64 3/2 (*.f64 y 3)) (log.f64 y)))
6.0ms	(.f64 (+.f64 3/2 (.f64 y 3)) (log.f64 y))
5.0ms	(+.f64 (-.f64 x (.f64 1/3 (.f64 (+.f64 3/2 (*.f64 y 3)) (log.f64 y)))) y)
3.0ms	(+.f64 3/2 (*.f64 y 3))

series282.0ms (6.2%)

Counts

4 → 12

Calls

4 calls:

120.0ms	(.f64 1/3 (.f64 (+.f64 3/2 (*.f64 y 3)) (log.f64 y)))
104.0ms	(.f64 (+.f64 3/2 (.f64 y 3)) (log.f64 y))
41.0ms	(+.f64 (-.f64 x (.f64 1/3 (.f64 (+.f64 3/2 (*.f64 y 3)) (log.f64 y)))) y)
18.0ms	(+.f64 3/2 (*.f64 y 3))

simplify117.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (96.0ms)

Iter	Nodes	Cost
0	4878	1537
1	4878	1537

prune91.0ms (2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	98	0	98
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	98	5	103

Error

Counts

103 → 5

Compiler

Compiled 1943 to 1216 computations (37.4% saved)

regimes190.0ms (4.2%)

Accuracy

Total 0.1b remaining (91.7%)

Threshold costs 0.1b (91.7%)

Compiler

Compiled 1815 to 1446 computations (20.3% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	76	23
1	76	23

end0.0ms (0%)

sample981.0ms (21.5%)

Algorithm

1×

intervals

Results

389.0ms	7998×	body	128	valid
2.0ms	40×	body	128	invalid
0.0ms	1×	body	1024	valid
0.0ms	1×	body	512	valid

Compiler

Compiled 393 to 313 computations (20.4% saved)

Details

analyze240.0ms (5.2%)

sample20.0ms (0.4%)

simplify271.0ms (5.9%)

prune3.0ms (0.1%)

localize10.0ms (0.2%)

rewrite39.0ms (0.9%)

series219.0ms (4.8%)

simplify96.0ms (2.1%)

prune103.0ms (2.3%)

localize15.0ms (0.3%)

rewrite33.0ms (0.7%)

series813.0ms (17.8%)

simplify109.0ms (2.4%)

prune126.0ms (2.8%)

localize17.0ms (0.4%)

rewrite27.0ms (0.6%)

series550.0ms (12%)

simplify64.0ms (1.4%)

prune104.0ms (2.3%)

localize11.0ms (0.3%)

rewrite32.0ms (0.7%)

series282.0ms (6.2%)

simplify117.0ms (2.6%)

prune91.0ms (2%)

regimes190.0ms (4.2%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample981.0ms (21.5%)

Profiling