Details

analyze387.0ms

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

sample44.0ms

Algorithm

intervals

Results

15.0ms	34×	body	1280	valid
11.0ms	179×	body	80	valid
8.0ms	28×	body	640	valid
2.0ms	11×	body	320	valid
1.0ms	4×	body	160	valid

simplify11.0ms

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

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp_binary64`
7×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
5×	`pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`sum-log_binary64`
3×	`associate-r_binary64` `associate-l_binary64`
2×	`flip3-+_binary64` `+-commutative_binary64` `flip-+_binary64`
1×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `associate-+l+_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `*-commutative_binary64`

Counts

3 → 43

Calls

3 calls:

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

series99.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
21.0ms	(+.f64 x (sin.f64 y))
31.0ms	(*.f64 z (cos.f64 y))

simplify96.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (82.0ms)

Iter	Nodes	Cost
0	4968	626
1	4968	626

prune39.0ms

Filtered

37 candidates to 52 candidates (-40.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	47	5	52
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	47	6	53

Merged error: 0.0b

Counts

53 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite12.0ms

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:

6.0ms	(*.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))

series347.0ms

Counts

4 → 12

Calls

4 calls:

112.0ms	(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))
80.0ms	(cbrt.f64 (cos.f64 y))
75.0ms	(cbrt.f64 (cos.f64 y))
79.0ms	(cbrt.f64 (cos.f64 y))

simplify100.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (83.0ms)

Iter	Nodes	Cost
0	5655	772

prune58.0ms

Filtered

55 candidates to 85 candidates (-54.5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	83	2	85
Fresh	2	2	4
Picked	0	1	1
Done	0	1	1
Total	85	6	91

Merged error: 0.0b

Counts

91 → 6

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b	(*.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)))
0.2b	(pow.f64 (cos.f64 y) 2)
0.3b	(cbrt.f64 (cos.f64 y))

rewrite25.0ms

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))
10.0ms	(.f64 (.f64 z (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)) (cbrt.f64 (cos.f64 y)))
3.0ms	(pow.f64 (cos.f64 y) 2)
1.0ms	(cbrt.f64 (cos.f64 y))

series237.0ms

Counts

4 → 12

Calls

4 calls:

114.0ms	(*.f64 z (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3))
32.0ms	(.f64 (.f64 z (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)) (cbrt.f64 (cos.f64 y)))
17.0ms	(pow.f64 (cos.f64 y) 2)
74.0ms	(cbrt.f64 (cos.f64 y))

simplify108.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (89.0ms)

Iter	Nodes	Cost
0	4903	984
1	4903	984

prune69.0ms

Filtered

62 candidates to 102 candidates (-64.5%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	98	4	102
Fresh	1	2	3
Picked	1	0	1
Done	0	2	2
Total	100	8	108

Merged error: 0.0b

Counts

108 → 8

localize17.0ms

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)))
0.3b	(cbrt.f64 (cos.f64 y))
0.3b	(cbrt.f64 (pow.f64 (cos.f64 y) 6))
0.6b	(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)

series157.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(.f64 (.f64 z (pow.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 6)) 1/3)) (cbrt.f64 (cos.f64 y)))
70.0ms	(cbrt.f64 (cos.f64 y))
14.0ms	(cbrt.f64 (pow.f64 (cos.f64 y) 6))
44.0ms	(pow.f64 (cos.f64 y) 6)

simplify80.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4841	687
1	4841	687

prune46.0ms

Filtered

50 candidates to 78 candidates (-56.0%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	78	8	86

Merged error: 0.0b

Counts

86 → 8

regimes72.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	14
1	12	14

end0.0ms

sample1.4s

Algorithm

intervals

Results

445.0ms	969×	body	1280	valid
357.0ms	5613×	body	80	valid
236.0ms	800×	body	640	valid
94.0ms	417×	body	320	valid
27.0ms	201×	body	160	valid

Details

analyze387.0ms

sample44.0ms

simplify11.0ms

prune1.0ms

localize9.0ms

rewrite16.0ms

series99.0ms

simplify96.0ms

prune39.0ms

localize13.0ms

rewrite12.0ms

series347.0ms

simplify100.0ms

prune58.0ms

localize16.0ms

rewrite25.0ms

series237.0ms

simplify108.0ms

prune69.0ms

localize17.0ms

rewrite17.0ms

series157.0ms

simplify80.0ms

prune46.0ms

regimes72.0ms

bsearch0.0ms

simplify4.0ms

end0.0ms

sample1.4s

Profiling