Details

analyze89.0ms (2.5%)

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
50%	50%	0.1%	5
56.2%	43.7%	0.1%	6
74.9%	25%	0.1%	7
76.5%	23.4%	0.1%	8
84.3%	15.6%	0.1%	9
86.2%	13.7%	0.1%	10
91.3%	8.6%	0.1%	11
92.6%	7.3%	0.1%	12
95.4%	4.5%	0.1%	13
96.1%	3.8%	0.1%	14

Compiler

Compiled 7 to 6 computations (14.3% saved)

sample27.0ms (0.8%)

Algorithm

1×

intervals

Results

8.0ms	186×	body	128	valid
6.0ms	26×	body	1024	valid
4.0ms	31×	body	512	valid
1.0ms	13×	body	256	valid

Compiler

Compiled 13 to 13 computations (0% saved)

simplify168.0ms (4.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	17	9
1	17	9

prune2.0ms (0.1%)

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

Merged error: 0.1b

Counts

2 → 1

Compiler

Compiled 12 to 10 computations (16.7% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.1b	(*.f64 x (/.f64 (sin.f64 y) y))
0.1b	(/.f64 (sin.f64 y) y)

rewrite16.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`add-sqr-sqrt_binary64_3805`
19×	`times-frac_binary64_3790`
18×	`add-cube-cbrt_binary64_3816` `*-un-lft-identity_binary64_3784`
13×	`associate-r_binary64_3726`
9×	`add-exp-log_binary64_3819` `add-cbrt-cube_binary64_3817`
4×	`pow1_binary64_3842`
3×	`associate-l_binary64_3727` `associate-/l_binary64_3731` `associate-/r_binary64_3730`
2×	`unswap-sqr_binary64_3752` `prod-exp_binary64_3830` `div-inv_binary64_3781` `add-log-exp_binary64_3820` `div-exp_binary64_3832` `cbrt-undiv_binary64_3815` `cbrt-unprod_binary64_3814`
1×	`clear-num_binary64_3783` `-commutative_binary64_3717` `associate-r/_binary64_3728` `pow-prod-down_binary64_3852` `frac-2neg_binary64_3795`

Counts

2 → 59

Calls

2 calls:

8.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
4.0ms	(/.f64 (sin.f64 y) y)

series127.0ms (3.6%)

Counts

2 → 6

Calls

2 calls:

88.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
40.0ms	(/.f64 (sin.f64 y) y)

simplify96.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 0 (81.0ms)

Iter	Nodes	Cost
0	4684	782
1	4684	782

prune59.0ms (1.7%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	56	9	65
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	57	9	66

Merged error: 0.0b

Counts

66 → 9

Compiler

Compiled 847 to 240 computations (71.7% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.1b	(.f64 x (.f64 (sin.f64 y) (/.f64 1 y)))
0.2b	(*.f64 (sin.f64 y) (/.f64 1 y))

rewrite22.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

26×	`add-exp-log_binary64_3819`
18×	`add-sqr-sqrt_binary64_3805`
16×	`add-cbrt-cube_binary64_3817`
14×	`associate-r_binary64_3726`
13×	`prod-exp_binary64_3830`
12×	`*-un-lft-identity_binary64_3784`
11×	`times-frac_binary64_3790` `add-cube-cbrt_binary64_3816`
9×	`pow1_binary64_3842`
7×	`cbrt-unprod_binary64_3814`
6×	`associate-l_binary64_3727`
4×	`associate-*r/_binary64_3728` `pow-prod-down_binary64_3852` `div-exp_binary64_3832`
3×	`unswap-sqr_binary64_3752`
2×	`rec-exp_binary64_3831` `*-commutative_binary64_3717` `add-log-exp_binary64_3820` `1-exp_binary64_3825` `un-div-inv_binary64_3782` `cbrt-undiv_binary64_3815`
1×	`div-inv_binary64_3781`

Counts

2 → 60

Calls

2 calls:

9.0ms	(*.f64 (sin.f64 y) (/.f64 1 y))
9.0ms	(.f64 x (.f64 (sin.f64 y) (/.f64 1 y)))

series131.0ms (3.7%)

Counts

2 → 6

Calls

2 calls:

92.0ms	(.f64 x (.f64 (sin.f64 y) (/.f64 1 y)))
39.0ms	(*.f64 (sin.f64 y) (/.f64 1 y))

simplify81.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4984	663
1	4984	663

prune41.0ms (1.2%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	66	0	66
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	66	9	75

Merged error: 0.0b

Counts

75 → 9

Compiler

Compiled 793 to 299 computations (62.3% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))
0.7b	(cbrt.f64 (sin.f64 y))
0.7b	(cbrt.f64 (sin.f64 y))
0.7b	(cbrt.f64 (sin.f64 y))

rewrite18.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_3812`
23×	`add-sqr-sqrt_binary64_3805`
15×	`add-cube-cbrt_binary64_3816` `*-un-lft-identity_binary64_3784`
11×	`pow1_binary64_3842`
9×	`pow1/3_binary64_3863`
6×	`add-exp-log_binary64_3819` `associate-r_binary64_3726` `associate-l_binary64_3727` `swap-sqr_binary64_3751`
4×	`unswap-sqr_binary64_3752` `add-log-exp_binary64_3820` `add-cbrt-cube_binary64_3817`
2×	`pow-prod-up_binary64_3851` `pow-prod-down_binary64_3852` `pow-sqr_binary64_3757`
1×	`prod-exp_binary64_3830` `pow2_binary64_3862` `*-commutative_binary64_3717` `pow-plus_binary64_3844` `cbrt-unprod_binary64_3814`

Counts

4 → 73

Calls

4 calls:

7.0ms	(*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))
2.0ms	(cbrt.f64 (sin.f64 y))
2.0ms	(cbrt.f64 (sin.f64 y))
2.0ms	(cbrt.f64 (sin.f64 y))

series548.0ms (15.3%)

Counts

4 → 12

Calls

4 calls:

168.0ms	(*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))
131.0ms	(cbrt.f64 (sin.f64 y))
125.0ms	(cbrt.f64 (sin.f64 y))
124.0ms	(cbrt.f64 (sin.f64 y))

simplify62.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5041	797

prune70.0ms (1.9%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	85	9	94

Merged error: 0.0b

Counts

94 → 9

Compiler

Compiled 1616 to 458 computations (71.7% saved)

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (.f64 (/.f64 (sin.f64 y) y) x)) (cbrt.f64 (*.f64 (/.f64 (sin.f64 y) y) x)))
9.1b	(cbrt.f64 (*.f64 (/.f64 (sin.f64 y) y) x))
9.1b	(cbrt.f64 (*.f64 (/.f64 (sin.f64 y) y) x))
9.1b	(cbrt.f64 (*.f64 (/.f64 (sin.f64 y) y) x))

rewrite29.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`pow1_binary64_3842`
10×	`add-sqr-sqrt_binary64_3805`
9×	`pow1/3_binary64_3863`
8×	`add-cube-cbrt_binary64_3816` `-un-lft-identity_binary64_3784` `associate-l/_binary64_3729`
7×	`cbrt-div_binary64_3813` `cbrt-prod_binary64_3812`
6×	`add-exp-log_binary64_3819`
4×	`associate-r_binary64_3726` `associate-l_binary64_3727` `add-log-exp_binary64_3820` `add-cbrt-cube_binary64_3817` `swap-sqr_binary64_3751`
2×	`pow-prod-up_binary64_3851` `pow-prod-down_binary64_3852` `pow-sqr_binary64_3757`
1×	`frac-times_binary64_3794` `unswap-sqr_binary64_3752` `prod-exp_binary64_3830` `pow2_binary64_3862` `-commutative_binary64_3717` `associate-r/_binary64_3728` `pow-plus_binary64_3844` `cbrt-unprod_binary64_3814`

Counts

4 → 64

Calls

4 calls:

9.0ms	(.f64 (cbrt.f64 (.f64 (/.f64 (sin.f64 y) y) x)) (cbrt.f64 (*.f64 (/.f64 (sin.f64 y) y) x)))
5.0ms	(cbrt.f64 (*.f64 (/.f64 (sin.f64 y) y) x))
5.0ms	(cbrt.f64 (*.f64 (/.f64 (sin.f64 y) y) x))
5.0ms	(cbrt.f64 (*.f64 (/.f64 (sin.f64 y) y) x))

series751.0ms (20.9%)

Counts

4 → 12

Calls

4 calls:

244.0ms	(.f64 (cbrt.f64 (.f64 (/.f64 (sin.f64 y) y) x)) (cbrt.f64 (*.f64 (/.f64 (sin.f64 y) y) x)))
174.0ms	(cbrt.f64 (*.f64 (/.f64 (sin.f64 y) y) x))
168.0ms	(cbrt.f64 (*.f64 (/.f64 (sin.f64 y) y) x))
165.0ms	(cbrt.f64 (*.f64 (/.f64 (sin.f64 y) y) x))

simplify57.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5122	1017

prune61.0ms (1.7%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	76	9	85

Merged error: 0.0b

Counts

85 → 9

Compiler

Compiled 1846 to 296 computations (84% saved)

regimes65.0ms (1.8%)

Compiler: Compiled 439 to 260 computations (40.8% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	12
1	11	12

end0.0ms (0%)

sample1.0s (28.6%)

Algorithm

1×

intervals

Results

282.0ms	1267×	body	1024	valid
252.0ms	5374×	body	128	valid
126.0ms	873×	body	512	valid
46.0ms	483×	body	256	valid
1.0ms	3×	body	2048	valid

Compiler

Compiled 127 to 79 computations (37.8% saved)

Details

analyze89.0ms (2.5%)

sample27.0ms (0.8%)

simplify168.0ms (4.7%)

prune2.0ms (0.1%)

localize5.0ms (0.2%)

rewrite16.0ms (0.5%)

series127.0ms (3.6%)

simplify96.0ms (2.7%)

prune59.0ms (1.7%)

localize7.0ms (0.2%)

rewrite22.0ms (0.6%)

series131.0ms (3.7%)

simplify81.0ms (2.3%)

prune41.0ms (1.2%)

localize11.0ms (0.3%)

rewrite18.0ms (0.5%)

series548.0ms (15.3%)

simplify62.0ms (1.7%)

prune70.0ms (1.9%)

localize10.0ms (0.3%)

rewrite29.0ms (0.8%)

series751.0ms (20.9%)

simplify57.0ms (1.6%)

prune61.0ms (1.7%)

regimes65.0ms (1.8%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.0s (28.6%)

Profiling