Details

analyze280.0ms (8.7%)

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
31.2%	68.6%	0.1%	6
43.7%	56.2%	0.1%	7
59.3%	40.6%	0.1%	8
59.3%	40.6%	0.1%	9
68.6%	31.2%	0.1%	10
78%	21.8%	0.1%	11
78%	21.8%	0.1%	12
83.5%	16.4%	0.1%	13
88.5%	11.3%	0.1%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample45.0ms (1.4%)

Algorithm

1×

intervals

Results

14.0ms	32×	body	1280	valid
10.0ms	174×	body	80	valid
7.0ms	27×	body	640	valid
3.0ms	18×	body	320	valid
1.0ms	5×	body	160	valid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify24.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (15.0ms)

Iter	Nodes	Cost
0	228	14
1	228	14

prune4.0ms (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)

localize8.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

rewrite16.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`add-log-exp_binary64`
6×	`add-sqr-sqrt_binary64`
4×	`*-un-lft-identity_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`associate-r_binary64` `associate-l_binary64`
2×	`diff-log_binary64`
1×	`pow-prod-down_binary64` `sub-neg_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `flip--_binary64` `associate--l+_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

2 → 31

Calls

2 calls:

8.0ms	(*.f64 z (sin.f64 y))
7.0ms	(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))

series21.0ms (0.6%)

Counts

2 → 6

Calls

2 calls:

13.0ms	(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
7.0ms	(*.f64 z (sin.f64 y))

simplify74.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

37 → 37

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	5155	497

prune35.0ms (1.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	31	6	37
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	31	7	38

Merged error: 0.0b

Counts

38 → 7

Compiler

Compiled 600 to 170 computations (71.7% saved)

localize12.0ms (0.4%)

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))

rewrite14.0ms (0.4%)

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:

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))

series69.0ms (2.1%)

Counts

4 → 12

Calls

4 calls:

23.0ms	(*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))
15.0ms	(cbrt.f64 (sin.f64 y))
15.0ms	(cbrt.f64 (sin.f64 y))
15.0ms	(cbrt.f64 (sin.f64 y))

simplify77.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4967	797
1	4967	797

prune59.0ms (1.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	83	2	85
Fresh	1	4	5
Picked	1	0	1
Done	0	1	1
Total	85	7	92

Merged error: 0.0b

Counts

92 → 7

Compiler

Compiled 1874 to 530 computations (71.7% saved)

localize12.0ms (0.4%)

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)

rewrite12.0ms (0.4%)

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

series66.0ms (2%)

Counts

4 → 12

Calls

4 calls:

19.0ms	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
17.0ms	(cbrt.f64 z)
15.0ms	(cbrt.f64 z)
15.0ms	(cbrt.f64 z)

simplify75.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4942	588
1	4942	588

prune51.0ms (1.6%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	85	7	92

Merged error: 0.0b

Counts

92 → 7

Compiler

Compiled 1675 to 460 computations (72.5% saved)

localize17.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (sin.f64 y))
0.6b	(cbrt.f64 (sin.f64 y))
0.6b	(cbrt.f64 (sin.f64 y))
1.0b	(pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 5)

rewrite11.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`cbrt-prod_binary64`
11×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
9×	`unpow-prod-down_binary64`
5×	`pow1_binary64` `add-exp-log_binary64`
4×	`add-log-exp_binary64` `pow1/3_binary64` `add-cbrt-cube_binary64`
3×	`pow-unpow_binary64`
2×	`pow-pow_binary64`
1×	`pow-to-exp_binary64` `sqr-pow_binary64` `pow-exp_binary64`

Counts

4 → 57

Calls

4 calls:

5.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 5)
2.0ms	(cbrt.f64 (sin.f64 y))
2.0ms	(cbrt.f64 (sin.f64 y))
2.0ms	(cbrt.f64 (sin.f64 y))

series80.0ms (2.5%)

Counts

4 → 12

Calls

4 calls:

31.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 5)
17.0ms	(cbrt.f64 (sin.f64 y))
16.0ms	(cbrt.f64 (sin.f64 y))
15.0ms	(cbrt.f64 (sin.f64 y))

simplify99.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (81.0ms)

Iter	Nodes	Cost
0	4850	790
1	4850	790

prune46.0ms (1.4%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	69	0	69
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	69	7	76

Merged error: 0.0b

Counts

76 → 7

Compiler

Compiled 1821 to 637 computations (65% saved)

regimes161.0ms (5%)

Compiler: Compiled 428 to 346 computations (19.2% saved)

bsearch0.0ms (0%)

simplify4.0ms (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 (57.4%)

Algorithm

1×

intervals

Results

461.0ms	1006×	body	1280	valid
357.0ms	5637×	body	80	valid
220.0ms	761×	body	640	valid
77.0ms	386×	body	320	valid
29.0ms	210×	body	160	valid

Compiler

Compiled 120 to 98 computations (18.3% saved)

Details

analyze280.0ms (8.7%)

sample45.0ms (1.4%)

simplify24.0ms (0.7%)

prune4.0ms (0.1%)

localize8.0ms (0.3%)

rewrite16.0ms (0.5%)

series21.0ms (0.6%)

simplify74.0ms (2.3%)

prune35.0ms (1.1%)

localize12.0ms (0.4%)

rewrite14.0ms (0.4%)

series69.0ms (2.1%)

simplify77.0ms (2.4%)

prune59.0ms (1.8%)

localize12.0ms (0.4%)

rewrite12.0ms (0.4%)

series66.0ms (2%)

simplify75.0ms (2.3%)

prune51.0ms (1.6%)

localize17.0ms (0.5%)

rewrite11.0ms (0.4%)

series80.0ms (2.5%)

simplify99.0ms (3.1%)

prune46.0ms (1.4%)

regimes161.0ms (5%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.8s (57.4%)

Profiling