Details

analyze49.0ms (1.8%)

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
25%	74.9%	0.1%	5
50%	50%	0.1%	6
62.4%	31.2%	6.3%	7
71.8%	21.9%	6.3%	8
76.5%	14%	9.5%	9
80.4%	10.1%	9.5%	10
82.3%	6.6%	11%	11
84.1%	4.9%	11%	12
85%	3.2%	11.8%	13
85.8%	2.4%	11.8%	14

Compiler

Compiled 10 to 10 computations (0% saved)

sample18.0ms (0.7%)

Algorithm

1×

intervals

Results

12.0ms	256×	body	128	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 19 to 21 computations (-10.5% saved)

simplify92.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	48	10
1	48	10

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.5b

Counts

2 → 1

Compiler

Compiled 14 to 14 computations (0% saved)

localize5.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 x 4/29)
0.0b	(*.f64 (-.f64 x 4/29) 3)
0.4b	(.f64 (.f64 (-.f64 x 4/29) 3) y)

rewrite22.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-sqr-sqrt_binary64_19196`
11×	`*-un-lft-identity_binary64_19174`
10×	`add-cbrt-cube_binary64_19210` `pow1_binary64_19235` `add-exp-log_binary64_19212`
7×	`add-cube-cbrt_binary64_19209`
6×	`associate-r_binary64_19114` `associate-l/_binary64_19117` `associate-l*_binary64_19115`
5×	`add-log-exp_binary64_19213`
4×	`prod-exp_binary64_19223` `cbrt-unprod_binary64_19207` `pow-prod-down_binary64_19245`
3×	`flip--_binary64_19149` `flip3--_binary64_19178` `cancel-sign-sub-inv_binary64_19140`
2×	`*-commutative_binary64_19105` `difference-of-squares_binary64_19143` `distribute-lft-out--_binary64_19126`
1×	`diff-log_binary64_19266` `unswap-sqr_binary64_19142` `sub-neg_binary64_19167`

Counts

3 → 58

Calls

3 calls:

8.0ms	(.f64 (.f64 (-.f64 x 4/29) 3) y)
7.0ms	(*.f64 (-.f64 x 4/29) 3)
4.0ms	(-.f64 x 4/29)

series104.0ms (3.8%)

Counts

3 → 18

Calls

3 calls:

68.0ms	(.f64 (.f64 (-.f64 x 4/29) 3) y)
20.0ms	(*.f64 (-.f64 x 4/29) 3)
15.0ms	(-.f64 x 4/29)

Compiler

Compiled 220 to 218 computations (0.9% saved)

simplify66.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4834	668
1	4834	668

prune64.0ms (2.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	69	7	76
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	69	8	77

Merged error: 0.0b

Counts

77 → 8

Compiler

Compiled 866 to 661 computations (23.7% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 x 4/29)
0.3b	(.f64 (-.f64 x 4/29) (.f64 3 y))

rewrite14.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`*-un-lft-identity_binary64_19174` `add-sqr-sqrt_binary64_19196`
7×	`add-cbrt-cube_binary64_19210` `pow1_binary64_19235` `add-exp-log_binary64_19212`
5×	`associate-l_binary64_19115`
4×	`add-log-exp_binary64_19213` `add-cube-cbrt_binary64_19209`
3×	`prod-exp_binary64_19223` `cbrt-unprod_binary64_19207` `pow-prod-down_binary64_19245` `cancel-sign-sub-inv_binary64_19140`
2×	`flip--_binary64_19149` `flip3--_binary64_19178` `associate-*l/_binary64_19117` `difference-of-squares_binary64_19143` `distribute-lft-out--_binary64_19126`
1×	`-commutative_binary64_19105` `diff-log_binary64_19266` `associate-r*_binary64_19114` `sub-neg_binary64_19167`

Counts

2 → 38

Calls

2 calls:

7.0ms	(.f64 (-.f64 x 4/29) (.f64 3 y))
4.0ms	(-.f64 x 4/29)

series84.0ms (3.1%)

Counts

2 → 13

Calls

2 calls:

69.0ms	(.f64 (-.f64 x 4/29) (.f64 3 y))
15.0ms	(-.f64 x 4/29)

Compiler

Compiled 164 to 161 computations (1.8% saved)

simplify54.0ms (2%)

Algorithm

1×	egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5031	457

prune39.0ms (1.5%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	51	0	51
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	51	8	59

Merged error: 0.0b

Counts

59 → 8

Compiler

Compiled 599 to 460 computations (23.2% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 x 4/29)
0.0b	(.f64 (-.f64 x 4/29) (.f64 (cbrt.f64 3) (cbrt.f64 3)))
0.4b	(.f64 (.f64 (.f64 (-.f64 x 4/29) (.f64 (cbrt.f64 3) (cbrt.f64 3))) (cbrt.f64 3)) y)
0.7b	(.f64 (.f64 (-.f64 x 4/29) (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (cbrt.f64 3))

rewrite51.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Rules

32×	`pow1_binary64_19235` `add-exp-log_binary64_19212`
20×	`add-cbrt-cube_binary64_19210`
19×	`prod-exp_binary64_19223` `cbrt-unprod_binary64_19207` `pow-prod-down_binary64_19245`
14×	`add-sqr-sqrt_binary64_19196`
13×	`*-un-lft-identity_binary64_19174`
12×	`associate-*l/_binary64_19117`
10×	`associate-r_binary64_19114`
9×	`add-cube-cbrt_binary64_19209`
7×	`associate-l_binary64_19115`
6×	`add-log-exp_binary64_19213`
4×	`flip--_binary64_19149` `flip3--_binary64_19178`
3×	`cbrt-prod_binary64_19205` `*-commutative_binary64_19105` `cancel-sign-sub-inv_binary64_19140`
2×	`difference-of-squares_binary64_19143` `distribute-lft-out--_binary64_19126`
1×	`diff-log_binary64_19266` `unswap-sqr_binary64_19142` `sub-neg_binary64_19167`

Counts

4 → 91

Calls

4 calls:

16.0ms	(.f64 (.f64 (-.f64 x 4/29) (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (cbrt.f64 3))
14.0ms	(.f64 (.f64 (.f64 (-.f64 x 4/29) (.f64 (cbrt.f64 3) (cbrt.f64 3))) (cbrt.f64 3)) y)
10.0ms	(.f64 (-.f64 x 4/29) (.f64 (cbrt.f64 3) (cbrt.f64 3)))
3.0ms	(-.f64 x 4/29)

series314.0ms (11.6%)

Counts

4 → 23

Calls

4 calls:

167.0ms	(.f64 (.f64 (.f64 (-.f64 x 4/29) (.f64 (cbrt.f64 3) (cbrt.f64 3))) (cbrt.f64 3)) y)
71.0ms	(.f64 (.f64 (-.f64 x 4/29) (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (cbrt.f64 3))
58.0ms	(.f64 (-.f64 x 4/29) (.f64 (cbrt.f64 3) (cbrt.f64 3)))
18.0ms	(-.f64 x 4/29)

Compiler

Compiled 535 to 534 computations (0.2% saved)

simplify76.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4883	1184
1	4883	1184

prune103.0ms (3.8%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	113	1	114
Fresh	1	4	5
Picked	1	0	1
Done	0	2	2
Total	115	7	122

Merged error: 0.0b

Counts

122 → 7

Compiler

Compiled 1617 to 1330 computations (17.7% saved)

localize8.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 x 4/29)
0.0b	(.f64 (-.f64 x 4/29) (.f64 (cbrt.f64 3) (cbrt.f64 3)))
0.4b	(*.f64 (cbrt.f64 3) y)
0.7b	(.f64 (.f64 (-.f64 x 4/29) (.f64 (cbrt.f64 3) (cbrt.f64 3))) (.f64 (cbrt.f64 3) y))

rewrite43.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

32×	`pow1_binary64_19235` `add-exp-log_binary64_19212`
22×	`add-cbrt-cube_binary64_19210`
19×	`prod-exp_binary64_19223` `cbrt-unprod_binary64_19207` `pow-prod-down_binary64_19245`
18×	`add-sqr-sqrt_binary64_19196`
13×	`*-un-lft-identity_binary64_19174`
12×	`associate-l_binary64_19115`
9×	`add-cube-cbrt_binary64_19209`
6×	`add-log-exp_binary64_19213` `associate-*l/_binary64_19117`
5×	`associate-r_binary64_19114`
4×	`cbrt-prod_binary64_19205`
3×	`*-commutative_binary64_19105` `flip--_binary64_19149` `flip3--_binary64_19178` `unswap-sqr_binary64_19142` `cancel-sign-sub-inv_binary64_19140`
2×	`difference-of-squares_binary64_19143` `distribute-lft-out--_binary64_19126`
1×	`diff-log_binary64_19266` `sub-neg_binary64_19167`

Counts

4 → 91

Calls

4 calls:

14.0ms	(.f64 (.f64 (-.f64 x 4/29) (.f64 (cbrt.f64 3) (cbrt.f64 3))) (.f64 (cbrt.f64 3) y))
13.0ms	(.f64 (-.f64 x 4/29) (.f64 (cbrt.f64 3) (cbrt.f64 3)))
5.0ms	(*.f64 (cbrt.f64 3) y)
4.0ms	(-.f64 x 4/29)

series301.0ms (11.1%)

Counts

4 → 21

Calls

4 calls:

185.0ms	(.f64 (.f64 (-.f64 x 4/29) (.f64 (cbrt.f64 3) (cbrt.f64 3))) (.f64 (cbrt.f64 3) y))
61.0ms	(.f64 (-.f64 x 4/29) (.f64 (cbrt.f64 3) (cbrt.f64 3)))
35.0ms	(*.f64 (cbrt.f64 3) y)
20.0ms	(-.f64 x 4/29)

Compiler

Compiled 520 to 518 computations (0.4% saved)

simplify69.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4945	1124
1	4945	1124

prune107.0ms (4%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	111	1	112
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	111	8	119

Merged error: 0b

Counts

119 → 8

Compiler

Compiled 1648 to 1375 computations (16.6% saved)

regimes219.0ms (8.1%)

Compiler: Compiled 1659 to 1550 computations (6.6% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	10
1	20	10

end0.0ms (0%)

sample779.0ms (28.8%)

Algorithm

1×

intervals

Results

241.0ms	8000×	body	128	valid
2.0ms	65×	body	128	invalid

Compiler

Compiled 335 to 312 computations (6.9% saved)

Details

analyze49.0ms (1.8%)

sample18.0ms (0.7%)

simplify92.0ms (3.4%)

prune3.0ms (0.1%)

localize5.0ms (0.2%)

rewrite22.0ms (0.8%)

series104.0ms (3.8%)

simplify66.0ms (2.4%)

prune64.0ms (2.4%)

localize5.0ms (0.2%)

rewrite14.0ms (0.5%)

series84.0ms (3.1%)

simplify54.0ms (2%)

prune39.0ms (1.5%)

localize9.0ms (0.3%)

rewrite51.0ms (1.9%)

series314.0ms (11.6%)

simplify76.0ms (2.8%)

prune103.0ms (3.8%)

localize8.0ms (0.3%)

rewrite43.0ms (1.6%)

series301.0ms (11.1%)

simplify69.0ms (2.6%)

prune107.0ms (4%)

regimes219.0ms (8.1%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample779.0ms (28.8%)

Profiling