Details

analyze275.0ms

Algorithm

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

sample51.0ms

Algorithm

intervals

Results

14.0ms	32×	body	1280	valid
11.0ms	174×	body	80	valid
7.0ms	27×	body	640	valid
3.0ms	18×	body	320	valid
1.0ms	5×	body	160	valid

simplify41.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	227	14
1	227	14

prune7.0ms

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

localize13.0ms

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))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-log-exp_binary64_3749`
6×	`add-sqr-sqrt_binary64_3769`
4×	`add-exp-log_binary64_3748` `pow1_binary64_3730` `add-cbrt-cube_binary64_3756` `*-un-lft-identity_binary64_3784` `add-cube-cbrt_binary64_3755`
3×	`associate-l_binary64_3844` `associate-r_binary64_3843`
2×	`diff-log_binary64_3700`
1×	`*-commutative_binary64_3852` `cbrt-unprod_binary64_3753` `prod-exp_binary64_3735` `pow-prod-down_binary64_3711` `flip3--_binary64_3783` `unswap-sqr_binary64_3812` `associate--l+_binary64_3840` `flip--_binary64_3810` `sub-neg_binary64_3788` `sum-log_binary64_3699`

Counts

2 → 31

Calls

2 calls:

6.0ms	(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
4.0ms	(*.f64 z (sin.f64 y))

series84.0ms

Counts

2 → 6

Calls

2 calls:

51.0ms	(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
34.0ms	(*.f64 z (sin.f64 y))

simplify74.0ms

Algorithm

egg-herbie

Counts

37 → 37

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5187	497

prune344.0ms

Filtered

27 candidates to 37 candidates (-37.0%)

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

localize19.0ms

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))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_3751`
23×	`add-sqr-sqrt_binary64_3769`
15×	`*-un-lft-identity_binary64_3784` `add-cube-cbrt_binary64_3755`
11×	`pow1_binary64_3730`
9×	`pow1/3_binary64_3722`
6×	`add-exp-log_binary64_3748` `associate-l_binary64_3844` `associate-r_binary64_3843` `swap-sqr_binary64_3811`
4×	`add-log-exp_binary64_3749` `unswap-sqr_binary64_3812` `add-cbrt-cube_binary64_3756`
2×	`pow-prod-down_binary64_3711` `pow-sqr_binary64_3817` `pow-prod-up_binary64_3710`
1×	`*-commutative_binary64_3852` `cbrt-unprod_binary64_3753` `pow-plus_binary64_3725` `prod-exp_binary64_3735` `pow2_binary64_3721`

Counts

4 → 73

Calls

4 calls:

6.0ms	(*.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))

series333.0ms

Counts

4 → 12

Calls

4 calls:

98.0ms	(*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))
75.0ms	(cbrt.f64 (sin.f64 y))
79.0ms	(cbrt.f64 (sin.f64 y))
79.0ms	(cbrt.f64 (sin.f64 y))

simplify75.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5169	828

prune287.0ms

Filtered

61 candidates to 85 candidates (-39.3%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	85	7	92

Merged error: 0.0b

Counts

92 → 7

localize19.0ms

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)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_3751`
23×	`add-sqr-sqrt_binary64_3769`
15×	`*-un-lft-identity_binary64_3784` `add-cube-cbrt_binary64_3755`
11×	`pow1_binary64_3730`
9×	`pow1/3_binary64_3722`
6×	`add-exp-log_binary64_3748` `associate-l_binary64_3844` `associate-r_binary64_3843` `swap-sqr_binary64_3811`
4×	`add-log-exp_binary64_3749` `unswap-sqr_binary64_3812` `add-cbrt-cube_binary64_3756`
2×	`pow-prod-down_binary64_3711` `pow-sqr_binary64_3817` `pow-prod-up_binary64_3710`
1×	`*-commutative_binary64_3852` `cbrt-unprod_binary64_3753` `pow-plus_binary64_3725` `prod-exp_binary64_3735` `pow2_binary64_3721`

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)

series370.0ms

Counts

4 → 12

Calls

4 calls:

103.0ms	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
86.0ms	(cbrt.f64 z)
87.0ms	(cbrt.f64 z)
94.0ms	(cbrt.f64 z)

simplify76.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5309	608

prune276.0ms

Filtered

65 candidates to 85 candidates (-30.8%)

Pruning

7 alts after pruning (4 fresh and 3 done)

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

Merged error: 0.0b

Counts

92 → 7

localize31.0ms

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))
0.8b	(pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 4)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-prod_binary64_3751`
11×	`*-un-lft-identity_binary64_3784` `add-sqr-sqrt_binary64_3769` `add-cube-cbrt_binary64_3755`
9×	`unpow-prod-down_binary64_3719`
5×	`add-exp-log_binary64_3748` `pow1_binary64_3730`
4×	`add-log-exp_binary64_3749` `pow1/3_binary64_3722` `add-cbrt-cube_binary64_3756`
3×	`pow-unpow_binary64_3717`
2×	`pow-pow_binary64_3712`
1×	`sqr-pow_binary64_3816` `pow-to-exp_binary64_3709` `pow-exp_binary64_3708`

Counts

4 → 57

Calls

4 calls:

3.0ms	(cbrt.f64 (sin.f64 y))
1.0ms	(cbrt.f64 (sin.f64 y))
1.0ms	(cbrt.f64 (sin.f64 y))
5.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 4)

series352.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(cbrt.f64 (sin.f64 y))
78.0ms	(cbrt.f64 (sin.f64 y))
77.0ms	(cbrt.f64 (sin.f64 y))
121.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 4)

simplify86.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	5279	770

prune245.0ms

Filtered

53 candidates to 69 candidates (-30.2%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	69	0	69
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	69	7	76

Merged error: 0.0b

Counts

76 → 7

regimes399.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	37	14
1	37	14

end0.0ms

sample1.4s

Algorithm

intervals

Results

442.0ms	1006×	body	1280	valid
357.0ms	5637×	body	80	valid
217.0ms	761×	body	640	valid
76.0ms	386×	body	320	valid
28.0ms	210×	body	160	valid

Details

analyze275.0ms

sample51.0ms

simplify41.0ms

prune7.0ms

localize13.0ms

rewrite11.0ms

series84.0ms

simplify74.0ms

prune344.0ms

localize19.0ms

rewrite12.0ms

series333.0ms

simplify75.0ms

prune287.0ms

localize19.0ms

rewrite13.0ms

series370.0ms

simplify76.0ms

prune276.0ms

localize31.0ms

rewrite12.0ms

series352.0ms

simplify86.0ms

prune245.0ms

regimes399.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.4s

Profiling