Details

analyze1.1s

Algorithm

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	74.8%	25.2%	8
0%	74.8%	25.2%	9
0%	74.8%	25.2%	10
0%	74.8%	25.2%	11
0%	74.8%	25.2%	12
24.9%	49.9%	25.2%	13
24.9%	37.4%	37.7%	14

sample87.0ms

Algorithm

intervals

Results

26.0ms	50×	body	1280	valid
11.0ms	15×	body	2560	valid
11.0ms	34×	body	640	valid
10.0ms	134×	body	80	valid
4.0ms	57×	body	80	nan
4.0ms	16×	body	320	valid
2.0ms	31×	body	80	invalid
1.0ms	7×	body	160	valid

simplify37.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	756	19
1	756	19

prune7.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 22.9b

Counts

2 → 1

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b	(/.f64 a (*.f64 b 3))
0.2b	(/.f64 (*.f64 z t) 3)
0.2b	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))
26.9b	(cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`*-un-lft-identity_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
6×	`times-frac_binary64`
5×	`cbrt-unprod_binary64` `prod-exp_binary64`
4×	`associate-/r_binary64` `add-log-exp_binary64` `cbrt-undiv_binary64` `associate-/l_binary64` `div-exp_binary64`
3×	`pow-prod-down_binary64` `associate-r_binary64` `cos-diff_binary64`
2×	`clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64`
1×	`sub-neg_binary64` `distribute-lft-in_binary64` `associate-l_binary64` `distribute-rgt-in_binary64` `cos-sum_binary64` `*-commutative_binary64`

Counts

4 → 71

Calls

4 calls:

4.0ms	(/.f64 a (*.f64 b 3))
7.0ms	(/.f64 (*.f64 z t) 3)
7.0ms	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))
6.0ms	(cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))

series52.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(/.f64 a (*.f64 b 3))
4.0ms	(/.f64 (*.f64 z t) 3)
33.0ms	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))
11.0ms	(cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))

simplify53.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4946	780
1	4946	780

prune154.0ms

Filtered

59 candidates to 83 candidates (-40.7%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	64	19	83
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	65	19	84

Merged error: 18.1b

Counts

84 → 19

localize26.0ms

Local error

Found 4 expressions with local error:

0.3b	(.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (.f64 (cos.f64 y) (cos.f64 (/.f64 (.f64 z t) 3))) (.f64 (sin.f64 y) (sin.f64 (/.f64 (.f64 z t) 3)))))
0.3b	(.f64 (sin.f64 y) (sin.f64 (/.f64 (.f64 z t) 3)))
30.2b	(sin.f64 (/.f64 (*.f64 z t) 3))
30.7b	(cos.f64 (/.f64 (*.f64 z t) 3))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`add-sqr-sqrt_binary64`
7×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
6×	`associate-r_binary64`
4×	`pow-prod-down_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `associate-l_binary64` `prod-exp_binary64`
3×	`associate-*r/_binary64`
2×	`sin-mult_binary64` `*-commutative_binary64`
1×	`flip3-+_binary64` `cos-mult_binary64` `frac-add_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `flip-+_binary64`

Counts

4 → 56

Calls

4 calls:

11.0ms	(.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (.f64 (cos.f64 y) (cos.f64 (/.f64 (.f64 z t) 3))) (.f64 (sin.f64 y) (sin.f64 (/.f64 (.f64 z t) 3)))))
6.0ms	(.f64 (sin.f64 y) (sin.f64 (/.f64 (.f64 z t) 3)))
2.0ms	(sin.f64 (/.f64 (*.f64 z t) 3))
2.0ms	(cos.f64 (/.f64 (*.f64 z t) 3))

series90.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(.f64 (.f64 2 (sqrt.f64 x)) (+.f64 (.f64 (cos.f64 y) (cos.f64 (/.f64 (.f64 z t) 3))) (.f64 (sin.f64 y) (sin.f64 (/.f64 (.f64 z t) 3)))))
12.0ms	(.f64 (sin.f64 y) (sin.f64 (/.f64 (.f64 z t) 3)))
4.0ms	(sin.f64 (/.f64 (*.f64 z t) 3))
4.0ms	(cos.f64 (/.f64 (*.f64 z t) 3))

simplify52.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5022	1105

prune170.0ms

Filtered

54 candidates to 68 candidates (-25.9%)

Pruning

25 alts after pruning (25 fresh and 0 done)

	Pruned	Kept	Total
New	58	10	68
Fresh	3	15	18
Picked	1	0	1
Done	0	0	0
Total	62	25	87

Merged error: 18.1b

Counts

87 → 25

localize29.0ms

Local error

Found 4 expressions with local error:

0.4b	(pow.f64 (sin.f64 (/.f64 (*.f64 z t) 3)) 3)
13.3b	(cbrt.f64 (pow.f64 (sin.f64 (/.f64 (*.f64 z t) 3)) 3))
30.2b	(sin.f64 (/.f64 (*.f64 z t) 3))
30.7b	(cos.f64 (/.f64 (*.f64 z t) 3))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod_binary64`
10×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
6×	`unpow-prod-down_binary64` `cube-prod_binary64`
5×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`add-log-exp_binary64`
3×	`pow-unpow_binary64`
2×	`sqr-pow_binary64` `unpow3_binary64` `cube-mult_binary64`
1×	`pow-to-exp_binary64` `rem-cbrt-cube_binary64` `pow1/3_binary64` `pow-pow_binary64` `rem-cube-cbrt_binary64` `pow-exp_binary64`

Counts

4 → 58

Calls

4 calls:

4.0ms	(pow.f64 (sin.f64 (/.f64 (*.f64 z t) 3)) 3)
4.0ms	(cbrt.f64 (pow.f64 (sin.f64 (/.f64 (*.f64 z t) 3)) 3))
2.0ms	(sin.f64 (/.f64 (*.f64 z t) 3))
2.0ms	(cos.f64 (/.f64 (*.f64 z t) 3))

series22.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(pow.f64 (sin.f64 (/.f64 (*.f64 z t) 3)) 3)
4.0ms	(cbrt.f64 (pow.f64 (sin.f64 (/.f64 (*.f64 z t) 3)) 3))
4.0ms	(sin.f64 (/.f64 (*.f64 z t) 3))
4.0ms	(cos.f64 (/.f64 (*.f64 z t) 3))

simplify60.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4900	614
1	4900	614

prune156.0ms

Filtered

43 candidates to 70 candidates (-62.8%)

Pruning

27 alts after pruning (27 fresh and 0 done)

	Pruned	Kept	Total
New	66	4	70
Fresh	1	23	24
Picked	1	0	1
Done	0	0	0
Total	68	27	95

Merged error: 18.1b

Counts

95 → 27

localize29.0ms

Local error

Found 4 expressions with local error:

0.4b	(pow.f64 (sin.f64 (/.f64 (*.f64 z t) 3)) 3)
13.3b	(cbrt.f64 (pow.f64 (sin.f64 (/.f64 (*.f64 z t) 3)) 3))
30.2b	(sin.f64 (/.f64 (*.f64 z t) 3))
30.7b	(cos.f64 (/.f64 (*.f64 z t) 3))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod_binary64`
10×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
6×	`unpow-prod-down_binary64` `cube-prod_binary64`
5×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`add-log-exp_binary64`
3×	`pow-unpow_binary64`
2×	`sqr-pow_binary64` `unpow3_binary64` `cube-mult_binary64`
1×	`pow-to-exp_binary64` `rem-cbrt-cube_binary64` `pow1/3_binary64` `pow-pow_binary64` `rem-cube-cbrt_binary64` `pow-exp_binary64`

Counts

4 → 58

Calls

4 calls:

4.0ms	(pow.f64 (sin.f64 (/.f64 (*.f64 z t) 3)) 3)
4.0ms	(cbrt.f64 (pow.f64 (sin.f64 (/.f64 (*.f64 z t) 3)) 3))
2.0ms	(sin.f64 (/.f64 (*.f64 z t) 3))
3.0ms	(cos.f64 (/.f64 (*.f64 z t) 3))

series24.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(pow.f64 (sin.f64 (/.f64 (*.f64 z t) 3)) 3)
6.0ms	(cbrt.f64 (pow.f64 (sin.f64 (/.f64 (*.f64 z t) 3)) 3))
4.0ms	(sin.f64 (/.f64 (*.f64 z t) 3))
4.0ms	(cos.f64 (/.f64 (*.f64 z t) 3))

simplify63.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4900	614
1	4900	614

prune60.0ms

Filtered

44 candidates to 70 candidates (-59.1%)

Pruning

28 alts after pruning (28 fresh and 0 done)

	Pruned	Kept	Total
New	68	2	70
Fresh	0	26	26
Picked	1	0	1
Done	0	0	0
Total	69	28	97

Merged error: 18.1b

Counts

97 → 28

regimes2.8s

Accuracy

62.2% (1.4b remaining)

Error of 17.7b against oracle of 16.3b and baseline of 20.0b

bsearch3.0ms

simplify5.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	130	76
1	130	76

end0.0ms

sample2.5s

Algorithm

intervals

Results

754.0ms	1589×	body	1280	valid
355.0ms	4474×	body	80	valid
322.0ms	968×	body	640	valid
259.0ms	337×	body	2560	valid
174.0ms	2224×	body	80	nan
100.0ms	412×	body	320	valid
89.0ms	1122×	body	80	invalid
38.0ms	220×	body	160	valid

Details

analyze1.1s

sample87.0ms

simplify37.0ms

prune7.0ms

localize16.0ms

rewrite26.0ms

series52.0ms

simplify53.0ms

prune154.0ms

localize26.0ms

rewrite22.0ms

series90.0ms

simplify52.0ms

prune170.0ms

localize29.0ms

rewrite13.0ms

series22.0ms

simplify60.0ms

prune156.0ms

localize29.0ms

rewrite14.0ms

series24.0ms

simplify63.0ms

prune60.0ms

regimes2.8s

bsearch3.0ms

simplify5.0ms

end0.0ms

sample2.5s

Profiling