Details

analyze363.0ms (8.4%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	493	56
1	493	56
0	3	3
1	3	3

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
37.4%	62.4%	0.1%	6
49.9%	49.9%	0.1%	7
62.4%	37.4%	0.1%	8
62.4%	37.4%	0.1%	9
71.8%	28.1%	0.1%	10
79.6%	20.3%	0.1%	11
79.6%	20.3%	0.1%	12
85%	14.8%	0.1%	13
89.3%	10.5%	0.1%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample49.0ms (1.1%)

Algorithm

1×

intervals

Results

18.0ms	68×	body	1024	valid
12.0ms	133×	body	128	valid
9.0ms	46×	body	512	valid
1.0ms	9×	body	256	valid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify14.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (8.0ms)

Iter	Nodes	Cost
0	159	14
1	159	14

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

Error

0.1b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
0.1b	(*.f64 x (cos.f64 y))
0.2b	(*.f64 z (sin.f64 y))

rewrite16.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`add-sqr-sqrt_binary64_6579`
7×	`add-cbrt-cube_binary64_6593` `add-cube-cbrt_binary64_6592` `pow1_binary64_6618` `add-exp-log_binary64_6595` `*-un-lft-identity_binary64_6557`
6×	`associate-r_binary64_6497` `associate-l_binary64_6498`
5×	`add-log-exp_binary64_6596`
2×	`*-commutative_binary64_6488` `pow-prod-down_binary64_6628` `unswap-sqr_binary64_6525` `prod-exp_binary64_6606` `cbrt-unprod_binary64_6590`
1×	`flip--_binary64_6532` `sub-neg_binary64_6550` `diff-log_binary64_6649` `flip3--_binary64_6561` `cancel-sign-sub-inv_binary64_6523`

Counts

3 → 48

Calls

3 calls:

5.0ms	(*.f64 z (sin.f64 y))
4.0ms	(*.f64 x (cos.f64 y))
4.0ms	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))

series132.0ms (3%)

Counts

3 → 9

Calls

3 calls:

71.0ms	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
31.0ms	(*.f64 z (sin.f64 y))
30.0ms	(*.f64 x (cos.f64 y))

simplify60.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4964	635
1	4964	635

prune57.0ms (1.3%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	45	12	57
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	46	12	58

Error

0.0b

Counts

58 → 12

Compiler

Compiled 940 to 280 computations (70.2% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (.f64 z (sin.f64 y))) (cbrt.f64 (*.f64 z (sin.f64 y))))
6.2b	(cbrt.f64 (*.f64 z (sin.f64 y)))
6.2b	(cbrt.f64 (*.f64 z (sin.f64 y)))
6.2b	(cbrt.f64 (*.f64 z (sin.f64 y)))

rewrite18.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`pow1_binary64_6618`
10×	`add-sqr-sqrt_binary64_6579`
9×	`pow1/3_binary64_6639`
8×	`add-cube-cbrt_binary64_6592` `*-un-lft-identity_binary64_6557`
7×	`cbrt-prod_binary64_6588`
6×	`add-exp-log_binary64_6595`
4×	`associate-r_binary64_6497` `add-cbrt-cube_binary64_6593` `associate-l_binary64_6498` `add-log-exp_binary64_6596` `swap-sqr_binary64_6524`
2×	`pow-prod-down_binary64_6628` `pow-sqr_binary64_6530` `pow-prod-up_binary64_6627`
1×	`*-commutative_binary64_6488` `unswap-sqr_binary64_6525` `prod-exp_binary64_6606` `cbrt-unprod_binary64_6590` `pow-plus_binary64_6620` `pow2_binary64_6638`

Counts

4 → 58

Calls

4 calls:

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

series453.0ms (10.4%)

Counts

4 → 12

Calls

4 calls:

137.0ms	(.f64 (cbrt.f64 (.f64 z (sin.f64 y))) (cbrt.f64 (*.f64 z (sin.f64 y))))
109.0ms	(cbrt.f64 (*.f64 z (sin.f64 y)))
107.0ms	(cbrt.f64 (*.f64 z (sin.f64 y)))
100.0ms	(cbrt.f64 (*.f64 z (sin.f64 y)))

simplify134.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (119.0ms)

Iter	Nodes	Cost
0	5256	678

prune68.0ms (1.6%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	70	0	70
Fresh	0	11	11
Picked	0	1	1
Done	0	0	0
Total	70	12	82

Error

0.0b

Counts

82 → 12

Compiler

Compiled 1801 to 434 computations (75.9% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.4b	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)

rewrite16.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_6588`
23×	`add-sqr-sqrt_binary64_6579`
15×	`add-cube-cbrt_binary64_6592` `*-un-lft-identity_binary64_6557`
11×	`pow1_binary64_6618`
9×	`pow1/3_binary64_6639`
6×	`associate-r_binary64_6497` `add-exp-log_binary64_6595` `associate-l_binary64_6498` `swap-sqr_binary64_6524`
4×	`add-cbrt-cube_binary64_6593` `unswap-sqr_binary64_6525` `add-log-exp_binary64_6596`
2×	`pow-prod-down_binary64_6628` `pow-sqr_binary64_6530` `pow-prod-up_binary64_6627`
1×	`*-commutative_binary64_6488` `prod-exp_binary64_6606` `cbrt-unprod_binary64_6590` `pow-plus_binary64_6620` `pow2_binary64_6638`

Counts

4 → 73

Calls

4 calls:

6.0ms	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)

series333.0ms (7.7%)

Counts

4 → 12

Calls

4 calls:

99.0ms	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
80.0ms	(cbrt.f64 z)
79.0ms	(cbrt.f64 z)
74.0ms	(cbrt.f64 z)

simplify61.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4892	563
1	4892	563

prune74.0ms (1.7%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	10	10
Picked	0	1	1
Done	0	1	1
Total	85	12	97

Error

0.0b

Counts

97 → 12

Compiler

Compiled 1738 to 498 computations (71.3% 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))

rewrite19.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_6588`
23×	`add-sqr-sqrt_binary64_6579`
15×	`add-cube-cbrt_binary64_6592` `*-un-lft-identity_binary64_6557`
11×	`pow1_binary64_6618`
9×	`pow1/3_binary64_6639`
6×	`associate-r_binary64_6497` `add-exp-log_binary64_6595` `associate-l_binary64_6498` `swap-sqr_binary64_6524`
4×	`add-cbrt-cube_binary64_6593` `unswap-sqr_binary64_6525` `add-log-exp_binary64_6596`
2×	`pow-prod-down_binary64_6628` `pow-sqr_binary64_6530` `pow-prod-up_binary64_6627`
1×	`*-commutative_binary64_6488` `prod-exp_binary64_6606` `cbrt-unprod_binary64_6590` `pow-plus_binary64_6620` `pow2_binary64_6638`

Counts

4 → 73

Calls

4 calls:

7.0ms	(*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))
1.0ms	(cbrt.f64 (sin.f64 y))
1.0ms	(cbrt.f64 (sin.f64 y))
1.0ms	(cbrt.f64 (sin.f64 y))

series298.0ms (6.9%)

Counts

4 → 12

Calls

4 calls:

85.0ms	(*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))
77.0ms	(cbrt.f64 (sin.f64 y))
69.0ms	(cbrt.f64 (sin.f64 y))
67.0ms	(cbrt.f64 (sin.f64 y))

simplify82.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4888	797
1	4888	797

prune71.0ms (1.6%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	1	8	9
Picked	0	1	1
Done	1	1	2
Total	86	11	97

Error

0.0b

Counts

97 → 11

Compiler

Compiled 1782 to 460 computations (74.2% saved)

regimes187.0ms (4.3%)

Accuracy

Total 0.1b remaining (77.9%)

Threshold costs 0.1b (77.9%)

Compiler

Compiled 1640 to 1190 computations (27.4% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	37	14
1	37	14

end0.0ms (0%)

sample1.8s (41.3%)

Algorithm

1×

intervals

Results

555.0ms	2027×	body	1024	valid
310.0ms	4480×	body	128	valid
193.0ms	1011×	body	512	valid
71.0ms	476×	body	256	valid
3.0ms	6×	body	2048	valid

Compiler

Compiled 423 to 309 computations (27% saved)

Details

analyze363.0ms (8.4%)

sample49.0ms (1.1%)

simplify14.0ms (0.3%)

prune2.0ms (0.1%)

localize8.0ms (0.2%)

rewrite16.0ms (0.4%)

series132.0ms (3%)

simplify60.0ms (1.4%)

prune57.0ms (1.3%)

localize12.0ms (0.3%)

rewrite18.0ms (0.4%)

series453.0ms (10.4%)

simplify134.0ms (3.1%)

prune68.0ms (1.6%)

localize12.0ms (0.3%)

rewrite16.0ms (0.4%)

series333.0ms (7.7%)

simplify61.0ms (1.4%)

prune74.0ms (1.7%)

localize11.0ms (0.3%)

rewrite19.0ms (0.4%)

series298.0ms (6.9%)

simplify82.0ms (1.9%)

prune71.0ms (1.6%)

regimes187.0ms (4.3%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.8s (41.3%)

Profiling