Details

analyze254.0ms (6.4%)

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
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)

sample57.0ms (1.4%)

Algorithm

1×

intervals

Results

22.0ms	47×	body	1280	valid
12.0ms	44×	body	640	valid
9.0ms	136×	body	80	valid
3.0ms	18×	body	320	valid
2.0ms	11×	body	160	valid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify13.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	12	14
1	12	14

prune5.0ms (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)

localize9.0ms (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 z (sin.f64 y))
0.1b	(*.f64 x (cos.f64 y))

rewrite16.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`add-sqr-sqrt_binary64`
7×	`*-un-lft-identity_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`associate-r_binary64` `associate-l_binary64`
5×	`add-log-exp_binary64`
2×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `*-commutative_binary64`
1×	`flip3-+_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

3 → 47

Calls

3 calls:

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

series35.0ms (0.9%)

Counts

3 → 9

Calls

3 calls:

16.0ms	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
11.0ms	(*.f64 x (cos.f64 y))
8.0ms	(*.f64 z (sin.f64 y))

simplify99.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (85.0ms)

Iter	Nodes	Cost
0	5165	619

prune52.0ms (1.3%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	48	8	56
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	49	8	57

Merged error: 0.0b

Counts

57 → 8

Compiler

Compiled 861 to 237 computations (72.5% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)

rewrite12.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64`
23×	`add-sqr-sqrt_binary64`
15×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
11×	`pow1_binary64`
9×	`pow1/3_binary64`
6×	`swap-sqr_binary64` `associate-r_binary64` `add-exp-log_binary64` `associate-l_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `unswap-sqr_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 73

Calls

4 calls:

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

series65.0ms (1.6%)

Counts

4 → 12

Calls

4 calls:

18.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
17.0ms	(cbrt.f64 x)
15.0ms	(cbrt.f64 x)
15.0ms	(cbrt.f64 x)

simplify75.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4942	588
1	4942	588

prune61.0ms (1.5%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	83	2	85
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	83	10	93

Merged error: 0.0b

Counts

93 → 10

Compiler

Compiled 1752 to 503 computations (71.3% saved)

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (.f64 x (cos.f64 y))) (cbrt.f64 (*.f64 x (cos.f64 y))))
0.6b	(cbrt.f64 (*.f64 x (cos.f64 y)))
0.6b	(cbrt.f64 (*.f64 x (cos.f64 y)))
0.6b	(cbrt.f64 (*.f64 x (cos.f64 y)))

rewrite15.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`pow1_binary64`
10×	`add-sqr-sqrt_binary64`
9×	`pow1/3_binary64`
8×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
7×	`cbrt-prod_binary64`
6×	`add-exp-log_binary64`
4×	`add-log-exp_binary64` `swap-sqr_binary64` `associate-r_binary64` `add-cbrt-cube_binary64` `associate-l_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 58

Calls

4 calls:

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

series104.0ms (2.6%)

Counts

4 → 12

Calls

4 calls:

33.0ms	(.f64 (cbrt.f64 (.f64 x (cos.f64 y))) (cbrt.f64 (*.f64 x (cos.f64 y))))
25.0ms	(cbrt.f64 (*.f64 x (cos.f64 y)))
23.0ms	(cbrt.f64 (*.f64 x (cos.f64 y)))
23.0ms	(cbrt.f64 (*.f64 x (cos.f64 y)))

simplify81.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	5059	697

prune53.0ms (1.3%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	69	1	70
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	69	11	80

Merged error: 0.0b

Counts

80 → 11

Compiler

Compiled 1796 to 433 computations (75.9% saved)

localize16.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.4b	(.f64 (cbrt.f64 (.f64 x (cos.f64 y))) (cbrt.f64 x))
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 (*.f64 x (cos.f64 y)))
0.6b	(cbrt.f64 (*.f64 x (cos.f64 y)))

rewrite16.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`add-sqr-sqrt_binary64`
10×	`cbrt-prod_binary64`
8×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
6×	`pow1_binary64` `associate-r_binary64` `add-exp-log_binary64`
5×	`pow1/3_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `associate-l_binary64`
2×	`pow-prod-down_binary64` `unswap-sqr_binary64`
1×	`cbrt-unprod_binary64` `prod-exp_binary64` `*-commutative_binary64`

Counts

4 → 53

Calls

4 calls:

6.0ms	(.f64 (cbrt.f64 (.f64 x (cos.f64 y))) (cbrt.f64 x))
3.0ms	(cbrt.f64 (*.f64 x (cos.f64 y)))
3.0ms	(cbrt.f64 (*.f64 x (cos.f64 y)))
1.0ms	(cbrt.f64 x)

series87.0ms (2.2%)

Counts

4 → 12

Calls

4 calls:

27.0ms	(.f64 (cbrt.f64 (.f64 x (cos.f64 y))) (cbrt.f64 x))
23.0ms	(cbrt.f64 (*.f64 x (cos.f64 y)))
22.0ms	(cbrt.f64 (*.f64 x (cos.f64 y)))
15.0ms	(cbrt.f64 x)

simplify112.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 0 (94.0ms)

Iter	Nodes	Cost
0	4968	728
1	4968	728

prune31.0ms (0.8%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	65	0	65
Fresh	0	8	8
Picked	0	1	1
Done	0	2	2
Total	65	11	76

Merged error: 0.0b

Counts

76 → 11

Compiler

Compiled 1739 to 313 computations (82% saved)

regimes152.0ms (3.8%)

Compiler: Compiled 582 to 399 computations (31.4% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	38
1	21	38

end0.0ms (0%)

sample2.5s (63.5%)

Algorithm

1×

intervals

Results

723.0ms	1521×	body	1280	valid
335.0ms	1179×	body	640	valid
297.0ms	4377×	body	80	valid
123.0ms	609×	body	320	valid
44.0ms	314×	body	160	valid

Compiler

Compiled 225 to 153 computations (32% saved)

Details

analyze254.0ms (6.4%)

sample57.0ms (1.4%)

simplify13.0ms (0.3%)

prune5.0ms (0.1%)

localize9.0ms (0.2%)

rewrite16.0ms (0.4%)

series35.0ms (0.9%)

simplify99.0ms (2.5%)

prune52.0ms (1.3%)

localize12.0ms (0.3%)

rewrite12.0ms (0.3%)

series65.0ms (1.6%)

simplify75.0ms (1.9%)

prune61.0ms (1.5%)

localize13.0ms (0.3%)

rewrite15.0ms (0.4%)

series104.0ms (2.6%)

simplify81.0ms (2.1%)

prune53.0ms (1.3%)

localize16.0ms (0.4%)

rewrite16.0ms (0.4%)

series87.0ms (2.2%)

simplify112.0ms (2.8%)

prune31.0ms (0.8%)

regimes152.0ms (3.8%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample2.5s (63.5%)

Profiling