Details

analyze279.0ms

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

sample39.0ms

Algorithm

intervals

Results

12.0ms	36×	body	1024	valid
11.0ms	190×	body	128	valid
5.0ms	22×	body	512	valid
1.0ms	8×	body	256	valid

simplify18.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (12.0ms)

Iter	Nodes	Cost
0	227	14
1	227	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: 0.0b

Counts

2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite18.0ms

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`
3×	`associate-r_binary64` `associate-l_binary64`
2×	`diff-log_binary64` `sum-log_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `sub-neg_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `+-commutative_binary64` `flip--_binary64` `flip-+_binary64` `associate--l+_binary64` `*-commutative_binary64`

Counts

3 → 43

Calls

3 calls:

7.0ms	(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
4.0ms	(+.f64 x (cos.f64 y))
5.0ms	(*.f64 z (sin.f64 y))

series195.0ms

Counts

3 → 9

Calls

3 calls:

88.0ms	(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
42.0ms	(+.f64 x (cos.f64 y))
66.0ms	(*.f64 z (sin.f64 y))

simplify62.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5827	652

prune34.0ms

Filtered

37 candidates to 52 candidates (-40.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	48	4	52
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	48	5	53

Merged error: 0.0b

Counts

53 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
0.5b	(cbrt.f64 z)
0.5b	(cbrt.f64 z)
0.5b	(cbrt.f64 z)

rewrite16.0ms

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:

7.0ms	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)

series632.0ms

Counts

4 → 12

Calls

4 calls:

175.0ms	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
160.0ms	(cbrt.f64 z)
145.0ms	(cbrt.f64 z)
151.0ms	(cbrt.f64 z)

simplify60.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4935	588
1	4935	588

prune59.0ms

Filtered

65 candidates to 85 candidates (-30.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	84	6	90

Merged error: 0.0b

Counts

90 → 6

localize13.0ms

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))

rewrite18.0ms

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:

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))

series525.0ms

Counts

4 → 12

Calls

4 calls:

162.0ms	(*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))
130.0ms	(cbrt.f64 (sin.f64 y))
117.0ms	(cbrt.f64 (sin.f64 y))
116.0ms	(cbrt.f64 (sin.f64 y))

simplify62.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5045	797

prune60.0ms

Filtered

55 candidates to 85 candidates (-54.5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	0	3	3
Picked	1	0	1
Done	0	2	2
Total	85	6	91

Merged error: 0.0b

Counts

91 → 6

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 z)
0.6b	(cbrt.f64 (cbrt.f64 z))
0.6b	(cbrt.f64 (cbrt.f64 z))
1.1b	(pow.f64 (cbrt.f64 (cbrt.f64 z)) 5)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

30×	`cbrt-prod_binary64`
13×	`*-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 → 63

Calls

4 calls:

1.0ms	(cbrt.f64 z)
2.0ms	(cbrt.f64 (cbrt.f64 z))
2.0ms	(cbrt.f64 (cbrt.f64 z))
4.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 z)) 5)

series866.0ms

Counts

4 → 12

Calls

4 calls:

147.0ms	(cbrt.f64 z)
196.0ms	(cbrt.f64 (cbrt.f64 z))
206.0ms	(cbrt.f64 (cbrt.f64 z))
316.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 z)) 5)

simplify62.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5292	745

prune66.0ms

Filtered

64 candidates to 75 candidates (-17.2%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	75	0	75
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	75	6	81

Merged error: 0.0b

Counts

81 → 6

regimes60.0ms

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

sample1.2s

Algorithm

intervals

Results

459.0ms	1277×	body	1024	valid
376.0ms	5774×	body	128	valid
139.0ms	645×	body	512	valid
42.0ms	301×	body	256	valid
3.0ms	3×	body	2048	valid

Details

analyze279.0ms

sample39.0ms

simplify18.0ms

prune1.0ms

localize10.0ms

rewrite18.0ms

series195.0ms

simplify62.0ms

prune34.0ms

localize13.0ms

rewrite16.0ms

series632.0ms

simplify60.0ms

prune59.0ms

localize13.0ms

rewrite18.0ms

series525.0ms

simplify62.0ms

prune60.0ms

localize16.0ms

rewrite14.0ms

series866.0ms

simplify62.0ms

prune66.0ms

regimes60.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.2s

Profiling