Details

analyze309.0ms (5.5%)

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
0%	99.9%	0.1%	5
25%	74.9%	0.1%	6
49.9%	49.9%	0.1%	7
56.2%	43.7%	0.1%	8
56.2%	43.7%	0.1%	9
71.8%	28.1%	0.1%	10
76.5%	23.4%	0.1%	11
76.5%	23.4%	0.1%	12
85%	14.8%	0.1%	13
87.8%	12.1%	0.1%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample57.0ms (1%)

Algorithm

1×

intervals

Results

24.0ms	65×	body	1024	valid
15.0ms	151×	body	128	valid
6.0ms	25×	body	512	valid
2.0ms	15×	body	256	valid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify165.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	12	14
1	12	14

prune3.0ms (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 18 to 16 computations (11.1% saved)

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
0.1b	(*.f64 x (sin.f64 y))
0.1b	(*.f64 z (cos.f64 y))

rewrite25.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`add-sqr-sqrt_binary64_6838`
7×	`pow1_binary64_6875` `add-exp-log_binary64_6852` `*-un-lft-identity_binary64_6817` `add-cbrt-cube_binary64_6850` `add-cube-cbrt_binary64_6849`
6×	`associate-r_binary64_6759` `associate-l_binary64_6760`
5×	`add-log-exp_binary64_6853`
2×	`pow-prod-down_binary64_6885` `cbrt-unprod_binary64_6847` `unswap-sqr_binary64_6785` `prod-exp_binary64_6863` `*-commutative_binary64_6750`
1×	`+-commutative_binary64_6749` `flip3-+_binary64_6820` `flip-+_binary64_6791` `sum-log_binary64_6905`

Counts

3 → 47

Calls

3 calls:

6.0ms	(*.f64 z (cos.f64 y))
6.0ms	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
5.0ms	(*.f64 x (sin.f64 y))

series272.0ms (4.8%)

Counts

3 → 9

Calls

3 calls:

149.0ms	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
64.0ms	(*.f64 x (sin.f64 y))
59.0ms	(*.f64 z (cos.f64 y))

simplify85.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	4833	625
1	4833	625

prune61.0ms (1.1%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	45	11	56
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	46	11	57

Merged error: 0.0b

Counts

57 → 11

Compiler

Compiled 928 to 271 computations (70.8% saved)

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))
0.6b	(cbrt.f64 (sin.f64 y))
0.6b	(cbrt.f64 (sin.f64 y))
0.6b	(cbrt.f64 (sin.f64 y))

rewrite20.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_6845`
23×	`add-sqr-sqrt_binary64_6838`
15×	`*-un-lft-identity_binary64_6817` `add-cube-cbrt_binary64_6849`
11×	`pow1_binary64_6875`
9×	`pow1/3_binary64_6896`
6×	`associate-r_binary64_6759` `add-exp-log_binary64_6852` `swap-sqr_binary64_6784` `associate-l_binary64_6760`
4×	`unswap-sqr_binary64_6785` `add-cbrt-cube_binary64_6850` `add-log-exp_binary64_6853`
2×	`pow-prod-down_binary64_6885` `pow-prod-up_binary64_6884` `pow-sqr_binary64_6790`
1×	`pow2_binary64_6895` `pow-plus_binary64_6877` `cbrt-unprod_binary64_6847` `prod-exp_binary64_6863` `*-commutative_binary64_6750`

Counts

4 → 73

Calls

4 calls:

8.0ms	(*.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))

series543.0ms (9.6%)

Counts

4 → 12

Calls

4 calls:

173.0ms	(*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))
129.0ms	(cbrt.f64 (sin.f64 y))
127.0ms	(cbrt.f64 (sin.f64 y))
114.0ms	(cbrt.f64 (sin.f64 y))

simplify78.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	5041	797

prune90.0ms (1.6%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	10	10
Picked	0	1	1
Done	0	0	0
Total	85	11	96

Merged error: 0.0b

Counts

96 → 11

Compiler

Compiled 1951 to 566 computations (71% saved)

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (.f64 x (sin.f64 y))) (cbrt.f64 (*.f64 x (sin.f64 y))))
8.1b	(cbrt.f64 (*.f64 x (sin.f64 y)))
8.1b	(cbrt.f64 (*.f64 x (sin.f64 y)))
8.1b	(cbrt.f64 (*.f64 x (sin.f64 y)))

rewrite22.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`pow1_binary64_6875`
10×	`add-sqr-sqrt_binary64_6838`
9×	`pow1/3_binary64_6896`
8×	`*-un-lft-identity_binary64_6817` `add-cube-cbrt_binary64_6849`
7×	`cbrt-prod_binary64_6845`
6×	`add-exp-log_binary64_6852`
4×	`associate-r_binary64_6759` `add-cbrt-cube_binary64_6850` `swap-sqr_binary64_6784` `associate-l_binary64_6760` `add-log-exp_binary64_6853`
2×	`pow-prod-down_binary64_6885` `pow-prod-up_binary64_6884` `pow-sqr_binary64_6790`
1×	`pow2_binary64_6895` `pow-plus_binary64_6877` `cbrt-unprod_binary64_6847` `unswap-sqr_binary64_6785` `prod-exp_binary64_6863` `*-commutative_binary64_6750`

Counts

4 → 58

Calls

4 calls:

6.0ms	(.f64 (cbrt.f64 (.f64 x (sin.f64 y))) (cbrt.f64 (*.f64 x (sin.f64 y))))
3.0ms	(cbrt.f64 (*.f64 x (sin.f64 y)))
3.0ms	(cbrt.f64 (*.f64 x (sin.f64 y)))
3.0ms	(cbrt.f64 (*.f64 x (sin.f64 y)))

series819.0ms (14.5%)

Counts

4 → 12

Calls

4 calls:

256.0ms	(.f64 (cbrt.f64 (.f64 x (sin.f64 y))) (cbrt.f64 (*.f64 x (sin.f64 y))))
193.0ms	(cbrt.f64 (*.f64 x (sin.f64 y)))
192.0ms	(cbrt.f64 (*.f64 x (sin.f64 y)))
178.0ms	(cbrt.f64 (*.f64 x (sin.f64 y)))

simplify126.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (110.0ms)

Iter	Nodes	Cost
0	4833	697
1	4833	697

prune80.0ms (1.4%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	68	2	70
Fresh	0	9	9
Picked	0	1	1
Done	0	1	1
Total	68	13	81

Merged error: 0.0b

Counts

81 → 13

Compiler

Compiled 1830 to 442 computations (75.8% saved)

localize19.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (sin.f64 y))
0.6b	(cbrt.f64 x)
8.1b	(cbrt.f64 (*.f64 x (sin.f64 y)))
8.1b	(cbrt.f64 (*.f64 x (sin.f64 y)))

rewrite14.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`cbrt-prod_binary64_6845`
6×	`*-un-lft-identity_binary64_6817` `add-sqr-sqrt_binary64_6838` `add-cube-cbrt_binary64_6849`
4×	`pow1_binary64_6875` `add-exp-log_binary64_6852` `pow1/3_binary64_6896` `add-cbrt-cube_binary64_6850` `add-log-exp_binary64_6853`

Counts

4 → 40

Calls

4 calls:

4.0ms	(cbrt.f64 (*.f64 x (sin.f64 y)))
3.0ms	(cbrt.f64 (*.f64 x (sin.f64 y)))
2.0ms	(cbrt.f64 (sin.f64 y))
1.0ms	(cbrt.f64 x)

series661.0ms (11.7%)

Counts

4 → 12

Calls

4 calls:

193.0ms	(cbrt.f64 (*.f64 x (sin.f64 y)))
186.0ms	(cbrt.f64 (*.f64 x (sin.f64 y)))
148.0ms	(cbrt.f64 x)
134.0ms	(cbrt.f64 (sin.f64 y))

simplify86.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	5078	461

prune52.0ms (0.9%)

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	52	0	52
Fresh	0	10	10
Picked	0	1	1
Done	0	2	2
Total	52	13	65

Merged error: 0.0b

Counts

65 → 13

Compiler

Compiled 1380 to 262 computations (81% saved)

regimes91.0ms (1.6%)

Compiler: Compiled 690 to 450 computations (34.8% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	38
1	21	38

end0.0ms (0%)

sample1.9s (34.4%)

Algorithm

1×

intervals

Results

749.0ms	1961×	body	1024	valid
352.0ms	4597×	body	128	valid
237.0ms	937×	body	512	valid
82.0ms	498×	body	256	valid
6.0ms	7×	body	2048	valid

Compiler

Compiled 261 to 170 computations (34.9% saved)

Details

analyze309.0ms (5.5%)

sample57.0ms (1%)

simplify165.0ms (2.9%)

prune3.0ms (0.1%)

localize10.0ms (0.2%)

rewrite25.0ms (0.4%)

series272.0ms (4.8%)

simplify85.0ms (1.5%)

prune61.0ms (1.1%)

localize14.0ms (0.3%)

rewrite20.0ms (0.3%)

series543.0ms (9.6%)

simplify78.0ms (1.4%)

prune90.0ms (1.6%)

localize15.0ms (0.3%)

rewrite22.0ms (0.4%)

series819.0ms (14.5%)

simplify126.0ms (2.2%)

prune80.0ms (1.4%)

localize19.0ms (0.3%)

rewrite14.0ms (0.2%)

series661.0ms (11.7%)

simplify86.0ms (1.5%)

prune52.0ms (0.9%)

regimes91.0ms (1.6%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.9s (34.4%)

Profiling