Details

analyze669.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
6.2%	93.6%	0.2%	9
9.4%	90.4%	0.2%	10
23.4%	74.9%	1.8%	11
27.3%	69%	3.7%	12
36.6%	56.5%	6.8%	13
40.5%	52%	7.4%	14

sample32.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
1.0ms	39×	body	80	invalid

simplify41.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	438	10
1	438	10

prune22.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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 → 2

localize10.0ms

Local error

Found 2 expressions with local error:

1.2b	(-.f64 (.f64 x y) (.f64 z y))
6.1b	(.f64 (-.f64 (.f64 x y) (*.f64 z y)) t)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt_binary64_5053`
4×	`add-cbrt-cube_binary64_5040` `-un-lft-identity_binary64_5068` `add-log-exp_binary64_5033` `associate-l*_binary64_5128` `pow1_binary64_5014` `add-exp-log_binary64_5032` `add-cube-cbrt_binary64_5039`
3×	`associate-r_binary64_5127`
2×	`associate-*l/_binary64_5130` `flip3--_binary64_5067` `distribute-rgt-out--_binary64_5115` `flip--_binary64_5094`
1×	`pow-prod-down_binary64_4995` `diff-log_binary64_4984` `prod-exp_binary64_5019` `unswap-sqr_binary64_5096` `cbrt-unprod_binary64_5037` `sub-neg_binary64_5072` `*-commutative_binary64_5136`

Counts

2 → 33

Calls

2 calls:

4.0ms	(-.f64 (.f64 x y) (.f64 z y))
6.0ms	(.f64 (-.f64 (.f64 x y) (*.f64 z y)) t)

series93.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(-.f64 (.f64 x y) (.f64 z y))
61.0ms	(.f64 (-.f64 (.f64 x y) (*.f64 z y)) t)

simplify78.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	5217	471

prune173.0ms

Filtered

29 candidates to 39 candidates (-34.5%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	31	8	39
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	31	10	41

Merged error: 0.0b

Counts

41 → 10

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 t)
0.5b	(cbrt.f64 t)
1.9b	(.f64 (.f64 (.f64 y (-.f64 x z)) (.f64 (cbrt.f64 t) (cbrt.f64 t))) (cbrt.f64 t))
4.5b	(.f64 (.f64 y (-.f64 x z)) (*.f64 (cbrt.f64 t) (cbrt.f64 t)))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

34×	`pow1_binary64_5014` `add-exp-log_binary64_5032`
21×	`pow-prod-down_binary64_4995` `add-cbrt-cube_binary64_5040` `prod-exp_binary64_5019` `cbrt-unprod_binary64_5037`
9×	`cbrt-prod_binary64_5035`
8×	`*-un-lft-identity_binary64_5068` `add-sqr-sqrt_binary64_5053` `add-cube-cbrt_binary64_5039`
7×	`associate-r_binary64_5127`
6×	`associate-*l/_binary64_5130`
4×	`add-log-exp_binary64_5033` `associate-*r/_binary64_5129`
2×	`pow1/3_binary64_5006` `associate-l_binary64_5128` `flip3--_binary64_5067` `flip--_binary64_5094` `*-commutative_binary64_5136`

Counts

4 → 78

Calls

4 calls:

1.0ms	(cbrt.f64 t)
1.0ms	(cbrt.f64 t)
21.0ms	(.f64 (.f64 (.f64 y (-.f64 x z)) (.f64 (cbrt.f64 t) (cbrt.f64 t))) (cbrt.f64 t))
11.0ms	(.f64 (.f64 y (-.f64 x z)) (*.f64 (cbrt.f64 t) (cbrt.f64 t)))

series417.0ms

Counts

4 → 12

Calls

4 calls:

88.0ms	(cbrt.f64 t)
85.0ms	(cbrt.f64 t)
67.0ms	(.f64 (.f64 (.f64 y (-.f64 x z)) (.f64 (cbrt.f64 t) (cbrt.f64 t))) (cbrt.f64 t))
176.0ms	(.f64 (.f64 y (-.f64 x z)) (*.f64 (cbrt.f64 t) (cbrt.f64 t)))

simplify60.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5078	1015

prune297.0ms

Filtered

59 candidates to 90 candidates (-52.5%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	85	5	90
Fresh	0	8	8
Picked	1	0	1
Done	0	1	1
Total	86	14	100

Merged error: 0.0b

Counts

100 → 14

localize23.0ms

Local error

Found 4 expressions with local error:

1.6b	(.f64 (.f64 (cbrt.f64 (-.f64 (.f64 x y) (.f64 z y))) (cbrt.f64 (-.f64 (.f64 x y) (.f64 z y)))) (.f64 t (cbrt.f64 (.f64 y (-.f64 x z)))))
8.7b	(cbrt.f64 (*.f64 y (-.f64 x z)))
8.7b	(cbrt.f64 (-.f64 (.f64 x y) (.f64 z y)))
8.7b	(cbrt.f64 (-.f64 (.f64 x y) (.f64 z y)))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

60×	`cbrt-div_binary64_5036`
46×	`associate-*r/_binary64_5129`
30×	`flip3--_binary64_5067` `flip--_binary64_5094`
28×	`frac-times_binary64_5060`
16×	`pow1_binary64_5014` `add-exp-log_binary64_5032`
14×	`associate-*l/_binary64_5130`
10×	`add-cbrt-cube_binary64_5040`
9×	`cbrt-prod_binary64_5035`
8×	`pow-prod-down_binary64_4995` `prod-exp_binary64_5019` `cbrt-unprod_binary64_5037`
6×	`*-un-lft-identity_binary64_5068` `add-sqr-sqrt_binary64_5053` `add-cube-cbrt_binary64_5039`
4×	`add-log-exp_binary64_5033`
3×	`pow1/3_binary64_5006`
2×	`distribute-rgt-out--_binary64_5115`
1×	`associate-l_binary64_5128` `associate-r_binary64_5127` `*-commutative_binary64_5136`

Counts

4 → 87

Calls

4 calls:

16.0ms	(.f64 (.f64 (cbrt.f64 (-.f64 (.f64 x y) (.f64 z y))) (cbrt.f64 (-.f64 (.f64 x y) (.f64 z y)))) (.f64 t (cbrt.f64 (.f64 y (-.f64 x z)))))
6.0ms	(cbrt.f64 (*.f64 y (-.f64 x z)))
4.0ms	(cbrt.f64 (-.f64 (.f64 x y) (.f64 z y)))
9.0ms	(cbrt.f64 (-.f64 (.f64 x y) (.f64 z y)))

series792.0ms

Counts

4 → 12

Calls

4 calls:

389.0ms	(.f64 (.f64 (cbrt.f64 (-.f64 (.f64 x y) (.f64 z y))) (cbrt.f64 (-.f64 (.f64 x y) (.f64 z y)))) (.f64 t (cbrt.f64 (.f64 y (-.f64 x z)))))
147.0ms	(cbrt.f64 (*.f64 y (-.f64 x z)))
126.0ms	(cbrt.f64 (-.f64 (.f64 x y) (.f64 z y)))
130.0ms	(cbrt.f64 (-.f64 (.f64 x y) (.f64 z y)))

simplify81.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5179	3091

prune378.0ms

Filtered

79 candidates to 99 candidates (-25.3%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	98	1	99
Fresh	1	11	12
Picked	0	1	1
Done	0	1	1
Total	99	14	113

Merged error: 0.0b

Counts

113 → 14

localize38.0ms

Local error

Found 4 expressions with local error:

1.2b	(-.f64 (.f64 x y) (.f64 z y))
1.6b	(.f64 (.f64 (cbrt.f64 (-.f64 (.f64 x y) (.f64 z y))) (.f64 (cbrt.f64 y) (cbrt.f64 (-.f64 x z)))) (.f64 t (cbrt.f64 (*.f64 y (-.f64 x z)))))
8.7b	(cbrt.f64 (*.f64 y (-.f64 x z)))
8.7b	(cbrt.f64 (-.f64 (.f64 x y) (.f64 z y)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

64×	`associate-*r/_binary64_5129`
58×	`cbrt-div_binary64_5036`
30×	`flip3--_binary64_5067` `flip--_binary64_5094`
28×	`frac-times_binary64_5060`
25×	`pow1_binary64_5014` `add-exp-log_binary64_5032`
15×	`pow-prod-down_binary64_4995` `prod-exp_binary64_5019` `cbrt-unprod_binary64_5037`
14×	`add-cbrt-cube_binary64_5040` `associate-*l/_binary64_5130`
6×	`add-log-exp_binary64_5033`
5×	`cbrt-prod_binary64_5035` `*-un-lft-identity_binary64_5068` `add-sqr-sqrt_binary64_5053` `add-cube-cbrt_binary64_5039`
2×	`pow1/3_binary64_5006` `distribute-rgt-out--_binary64_5115`
1×	`diff-log_binary64_4984` `associate-l_binary64_5128` `associate-r_binary64_5127` `sub-neg_binary64_5072` `*-commutative_binary64_5136`

Counts

4 → 91

Calls

4 calls:

4.0ms	(-.f64 (.f64 x y) (.f64 z y))
18.0ms	(.f64 (.f64 (cbrt.f64 (-.f64 (.f64 x y) (.f64 z y))) (.f64 (cbrt.f64 y) (cbrt.f64 (-.f64 x z)))) (.f64 t (cbrt.f64 (*.f64 y (-.f64 x z)))))
5.0ms	(cbrt.f64 (*.f64 y (-.f64 x z)))
4.0ms	(cbrt.f64 (-.f64 (.f64 x y) (.f64 z y)))

series700.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(-.f64 (.f64 x y) (.f64 z y))
376.0ms	(.f64 (.f64 (cbrt.f64 (-.f64 (.f64 x y) (.f64 z y))) (.f64 (cbrt.f64 y) (cbrt.f64 (-.f64 x z)))) (.f64 t (cbrt.f64 (*.f64 y (-.f64 x z)))))
151.0ms	(cbrt.f64 (*.f64 y (-.f64 x z)))
139.0ms	(cbrt.f64 (-.f64 (.f64 x y) (.f64 z y)))

simplify114.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	4966	3593
1	4966	3593

prune300.0ms

Filtered

81 candidates to 103 candidates (-27.2%)

Pruning

15 alts after pruning (12 fresh and 3 done)

	Pruned	Kept	Total
New	102	1	103
Fresh	0	11	11
Picked	0	1	1
Done	0	2	2
Total	102	15	117

Merged error: 0.0b

Counts

117 → 15

regimes1.1s

Accuracy

77.8% (1.6b remaining)

Error of 1.6b against oracle of 0.0b and baseline of 7.2b

bsearch1.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	55	55
1	55	55

end0.0ms

sample666.0ms

Algorithm

intervals

Results

270.0ms	8000×	body	80	valid
61.0ms	1841×	body	80	invalid

Details

analyze669.0ms

sample32.0ms

simplify41.0ms

prune22.0ms

localize10.0ms

rewrite11.0ms

series93.0ms

simplify78.0ms

prune173.0ms

localize14.0ms

rewrite37.0ms

series417.0ms

simplify60.0ms

prune297.0ms

localize23.0ms

rewrite39.0ms

series792.0ms

simplify81.0ms

prune378.0ms

localize38.0ms

rewrite35.0ms

series700.0ms

simplify114.0ms

prune300.0ms

regimes1.1s

bsearch1.0ms

simplify3.0ms

end0.0ms

sample666.0ms

Profiling