Details

analyze359.0ms

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
12.5%	87.4%	0.1%	6
34.3%	65.5%	0.1%	7
46.8%	53%	0.1%	8
48%	51.9%	0.1%	9
63%	36.9%	0.1%	10
71.7%	28.2%	0.1%	11
72%	27.8%	0.1%	12
80.5%	19.4%	0.1%	13
85.4%	14.5%	0.1%	14

sample50.0ms

Algorithm

intervals

Results

17.0ms	37×	body	1280	valid
14.0ms	171×	body	80	valid
8.0ms	31×	body	640	valid
3.0ms	14×	body	320	valid
0.0ms	3×	body	160	valid

simplify12.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	20	14
1	20	14

prune1.0ms

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

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite12.0ms

Algorithm

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` `sum-log_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `cbrt-unprod_binary64` `associate-+l+_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `+-commutative_binary64` `flip-+_binary64` `*-commutative_binary64`

Counts

2 → 31

Calls

2 calls:

7.0ms	(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
4.0ms	(*.f64 z (cos.f64 y))

series75.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
32.0ms	(*.f64 z (cos.f64 y))

simplify98.0ms

Algorithm

egg-herbie

Counts

37 → 37

Iterations

Useful iterations: 0 (81.0ms)

Iter	Nodes	Cost
0	4993	480
1	4993	480

prune28.0ms

Filtered

26 candidates to 37 candidates (-42.3%)

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

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b	(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))
0.4b	(cbrt.f64 (cos.f64 y))
0.4b	(cbrt.f64 (cos.f64 y))
0.4b	(cbrt.f64 (cos.f64 y))

rewrite15.0ms

Algorithm

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:

8.0ms	(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))
1.0ms	(cbrt.f64 (cos.f64 y))
1.0ms	(cbrt.f64 (cos.f64 y))
1.0ms	(cbrt.f64 (cos.f64 y))

series341.0ms

Counts

4 → 12

Calls

4 calls:

114.0ms	(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))
78.0ms	(cbrt.f64 (cos.f64 y))
72.0ms	(cbrt.f64 (cos.f64 y))
77.0ms	(cbrt.f64 (cos.f64 y))

simplify108.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (89.0ms)

Iter	Nodes	Cost
0	5655	772

prune66.0ms

Filtered

55 candidates to 85 candidates (-54.5%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	81	4	85
Fresh	1	4	5
Picked	1	0	1
Done	0	1	1
Total	83	9	92

Merged error: 0b

Counts

92 → 9

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b	(*.f64 z (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3))
0.2b	(.f64 (.f64 z (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)) (cbrt.f64 (cos.f64 y)))
0.3b	(pow.f64 (cos.f64 y) 2)
0.4b	(cbrt.f64 (cos.f64 y))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-exp-log_binary64`
22×	`add-sqr-sqrt_binary64`
19×	`unpow-prod-down_binary64`
18×	`associate-r_binary64`
16×	`prod-exp_binary64`
13×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
11×	`add-cbrt-cube_binary64`
9×	`pow-exp_binary64`
7×	`pow1_binary64` `cbrt-unprod_binary64`
6×	`unswap-sqr_binary64` `cbrt-prod_binary64`
5×	`pow-to-exp_binary64` `sqr-pow_binary64`
4×	`add-log-exp_binary64` `associate-l_binary64`
3×	`pow-unpow_binary64` `unpow2_binary64`
2×	`unpow1/3_binary64` `*-commutative_binary64`
1×	`pow-prod-down_binary64` `pow1/3_binary64` `pow-pow_binary64`

Counts

4 → 90

Calls

4 calls:

8.0ms	(*.f64 z (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3))
9.0ms	(.f64 (.f64 z (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)) (cbrt.f64 (cos.f64 y)))
2.0ms	(pow.f64 (cos.f64 y) 2)
1.0ms	(cbrt.f64 (cos.f64 y))

series206.0ms

Counts

4 → 12

Calls

4 calls:

90.0ms	(*.f64 z (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3))
30.0ms	(.f64 (.f64 z (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)) (cbrt.f64 (cos.f64 y)))
16.0ms	(pow.f64 (cos.f64 y) 2)
70.0ms	(cbrt.f64 (cos.f64 y))

simplify108.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (86.0ms)

Iter	Nodes	Cost
0	4903	984
1	4903	984

prune66.0ms

Filtered

62 candidates to 102 candidates (-64.5%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	100	2	102
Fresh	2	5	7
Picked	0	1	1
Done	0	1	1
Total	102	9	111

Merged error: 0b

Counts

111 → 9

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 z (pow.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 6)) 1/3)) (cbrt.f64 (cos.f64 y)))
0.4b	(cbrt.f64 (cos.f64 y))
0.4b	(cbrt.f64 (pow.f64 (cos.f64 y) 6))
0.7b	(pow.f64 (cos.f64 y) 6)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-exp-log_binary64`
13×	`cbrt-prod_binary64`
11×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
8×	`add-cbrt-cube_binary64`
7×	`pow1_binary64` `prod-exp_binary64`
6×	`associate-r_binary64` `unpow-prod-down_binary64`
5×	`cbrt-unprod_binary64`
4×	`add-log-exp_binary64`
3×	`pow-unpow_binary64`
2×	`pow-to-exp_binary64` `pow1/3_binary64` `sqr-pow_binary64` `pow-exp_binary64`
1×	`pow-prod-down_binary64` `pow-pow_binary64` `associate-l_binary64` `unpow1/3_binary64` `*-commutative_binary64`

Counts

4 → 66

Calls

4 calls:

10.0ms	(.f64 (.f64 z (pow.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 6)) 1/3)) (cbrt.f64 (cos.f64 y)))
1.0ms	(cbrt.f64 (cos.f64 y))
2.0ms	(cbrt.f64 (pow.f64 (cos.f64 y) 6))
3.0ms	(pow.f64 (cos.f64 y) 6)

series165.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(.f64 (.f64 z (pow.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 6)) 1/3)) (cbrt.f64 (cos.f64 y)))
75.0ms	(cbrt.f64 (cos.f64 y))
16.0ms	(cbrt.f64 (pow.f64 (cos.f64 y) 6))
42.0ms	(pow.f64 (cos.f64 y) 6)

simplify80.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4841	687
1	4841	687

prune47.0ms

Filtered

49 candidates to 78 candidates (-59.2%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	78	9	87

Merged error: 0b

Counts

87 → 9

regimes76.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	14
1	12	14

end0.0ms

sample1.3s

Algorithm

intervals

Results

450.0ms	1006×	body	1280	valid
354.0ms	5619×	body	80	valid
212.0ms	776×	body	640	valid
77.0ms	400×	body	320	valid
26.0ms	198×	body	160	valid
1.0ms	1×	body	2560	valid

Details

analyze359.0ms

sample50.0ms

simplify12.0ms

prune1.0ms

localize10.0ms

rewrite12.0ms

series75.0ms

simplify98.0ms

prune28.0ms

localize14.0ms

rewrite15.0ms

series341.0ms

simplify108.0ms

prune66.0ms

localize16.0ms

rewrite24.0ms

series206.0ms

simplify108.0ms

prune66.0ms

localize18.0ms

rewrite17.0ms

series165.0ms

simplify80.0ms

prune47.0ms

regimes76.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample1.3s

Profiling