Details

analyze267.0ms (8%)

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

sample59.0ms (1.8%)

Algorithm

1×

intervals

Results

25.0ms	47×	body	1280	valid
10.0ms	151×	body	80	valid
9.0ms	32×	body	640	valid
3.0ms	18×	body	320	valid
1.0ms	8×	body	160	valid

simplify11.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (8.0ms)

Iter	Nodes	Cost
0	158	9
1	158	9

prune6.0ms (0.2%)

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

localize9.0ms (0.3%)

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))

rewrite14.0ms (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×	`sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `flip--_binary64`

Counts

3 → 47

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)))

series34.0ms (1%)

Counts

3 → 9

Calls

3 calls:

18.0ms	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
8.0ms	(*.f64 z (sin.f64 y))
8.0ms	(*.f64 x (cos.f64 y))

simplify44.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4868	397
1	4868	397

prune90.0ms (2.7%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	47	9	56
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	48	9	57

Merged error: 0.0b

Counts

57 → 9

localize14.0ms (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))

rewrite13.0ms (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))

series79.0ms (2.4%)

Counts

4 → 12

Calls

4 calls:

24.0ms	(*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))
20.0ms	(cbrt.f64 (sin.f64 y))
18.0ms	(cbrt.f64 (sin.f64 y))
17.0ms	(cbrt.f64 (sin.f64 y))

simplify49.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4965	482
1	4965	482

prune113.0ms (3.4%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	84	10	94

Merged error: 0.0b

Counts

94 → 10

localize16.0ms (0.5%)

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)))

series117.0ms (3.5%)

Counts

4 → 12

Calls

4 calls:

37.0ms	(.f64 (cbrt.f64 (.f64 x (cos.f64 y))) (cbrt.f64 (*.f64 x (cos.f64 y))))
29.0ms	(cbrt.f64 (*.f64 x (cos.f64 y)))
26.0ms	(cbrt.f64 (*.f64 x (cos.f64 y)))
25.0ms	(cbrt.f64 (*.f64 x (cos.f64 y)))

simplify49.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5057	440

prune98.0ms (2.9%)

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

localize18.0ms (0.5%)

Local error

Found 4 expressions with local error:

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)))
1.1b	(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (cos.f64 y)))) 5)

rewrite13.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`cbrt-prod_binary64`
7×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `unpow-prod-down_binary64` `add-sqr-sqrt_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 → 49

Calls

4 calls:

4.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (cos.f64 y)))) 5)
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)))

series138.0ms (4.1%)

Counts

4 → 12

Calls

4 calls:

58.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (cos.f64 y)))) 5)
28.0ms	(cbrt.f64 (*.f64 x (cos.f64 y)))
26.0ms	(cbrt.f64 (*.f64 x (cos.f64 y)))
26.0ms	(cbrt.f64 (*.f64 x (cos.f64 y)))

simplify57.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4962	504
1	4962	504

prune68.0ms (2%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	60	1	61
Fresh	1	7	8
Picked	1	0	1
Done	0	2	2
Total	62	10	72

Merged error: 0.0b

Counts

72 → 10

regimes207.0ms (6.2%)

Accuracy

Total 0.5b remaining (90.2%)

Threshold costs 0.5b (90.2%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	58	18
1	58	18

end0.0ms (0%)

sample1.7s (52.1%)

Algorithm

1×

intervals

Results

688.0ms	1504×	body	1280	valid
375.0ms	1300×	body	640	valid
297.0ms	4245×	body	80	valid
137.0ms	655×	body	320	valid
41.0ms	296×	body	160	valid

Details

analyze267.0ms (8%)

sample59.0ms (1.8%)

simplify11.0ms (0.3%)

prune6.0ms (0.2%)

localize9.0ms (0.3%)

rewrite14.0ms (0.4%)

series34.0ms (1%)

simplify44.0ms (1.3%)

prune90.0ms (2.7%)

localize14.0ms (0.4%)

rewrite13.0ms (0.4%)

series79.0ms (2.4%)

simplify49.0ms (1.5%)

prune113.0ms (3.4%)

localize16.0ms (0.5%)

rewrite15.0ms (0.4%)

series117.0ms (3.5%)

simplify49.0ms (1.5%)

prune98.0ms (2.9%)

localize18.0ms (0.5%)

rewrite13.0ms (0.4%)

series138.0ms (4.1%)

simplify57.0ms (1.7%)

prune68.0ms (2%)

regimes207.0ms (6.2%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.7s (52.1%)

Profiling