Details

analyze640.0ms

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

sample19.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
2.0ms	64×	body	80	invalid

simplify40.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	439	10
1	439	10

prune3.0ms

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

localize7.0ms

Local error

Found 2 expressions with local error:

0.5b	(-.f64 (.f64 x y) (.f64 z y))
5.9b	(.f64 (-.f64 (.f64 x y) (*.f64 z y)) t)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt_binary64`
4×	`-un-lft-identity_binary64` `add-log-exp_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l*_binary64`
3×	`associate-r_binary64`
2×	`flip3--_binary64` `distribute-rgt-out--_binary64` `flip--_binary64` `associate-*l/_binary64`
1×	`pow-prod-down_binary64` `sub-neg_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `*-commutative_binary64`

Counts

2 → 33

Calls

2 calls:

4.0ms	(-.f64 (.f64 x y) (.f64 z y))
7.0ms	(.f64 (-.f64 (.f64 x y) (*.f64 z y)) t)

series84.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(-.f64 (.f64 x y) (.f64 z y))
55.0ms	(.f64 (-.f64 (.f64 x y) (*.f64 z y)) t)

simplify75.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	5070	471

prune35.0ms

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

localize15.0ms

Local error

Found 4 expressions with local error:

1.5b	(.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)))))
6.8b	(cbrt.f64 (*.f64 y (-.f64 x z)))
6.8b	(cbrt.f64 (-.f64 (.f64 x y) (.f64 z y)))
6.8b	(cbrt.f64 (-.f64 (.f64 x y) (.f64 z y)))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

60×	`cbrt-div_binary64`
46×	`associate-*r/_binary64`
30×	`flip3--_binary64` `flip--_binary64`
28×	`frac-times_binary64`
16×	`pow1_binary64` `add-exp-log_binary64`
14×	`associate-*l/_binary64`
10×	`add-cbrt-cube_binary64`
9×	`cbrt-prod_binary64`
8×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
6×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`add-log-exp_binary64`
3×	`pow1/3_binary64`
2×	`distribute-rgt-out--_binary64`
1×	`associate-r_binary64` `associate-l_binary64` `*-commutative_binary64`

Counts

4 → 87

Calls

4 calls:

20.0ms	(.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)))))
5.0ms	(cbrt.f64 (*.f64 y (-.f64 x z)))
4.0ms	(cbrt.f64 (-.f64 (.f64 x y) (.f64 z y)))
4.0ms	(cbrt.f64 (-.f64 (.f64 x y) (.f64 z y)))

series763.0ms

Counts

4 → 12

Calls

4 calls:

367.0ms	(.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)))))
140.0ms	(cbrt.f64 (*.f64 y (-.f64 x z)))
129.0ms	(cbrt.f64 (-.f64 (.f64 x y) (.f64 z y)))
127.0ms	(cbrt.f64 (-.f64 (.f64 x y) (.f64 z y)))

simplify77.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4974	3031
1	4974	3031

prune92.0ms

Filtered

79 candidates to 99 candidates (-25.3%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	97	2	99
Fresh	1	7	8
Picked	1	0	1
Done	0	1	1
Total	99	10	109

Merged error: 0.0b

Counts

109 → 10

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 y)
1.5b	(.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)))))
6.8b	(cbrt.f64 (*.f64 y (-.f64 x z)))
6.8b	(cbrt.f64 (-.f64 (.f64 x y) (.f64 z y)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

64×	`associate-*r/_binary64`
58×	`cbrt-div_binary64`
29×	`flip3--_binary64` `flip--_binary64`
28×	`frac-times_binary64`
25×	`pow1_binary64` `add-exp-log_binary64`
15×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
14×	`add-cbrt-cube_binary64` `associate-*l/_binary64`
8×	`cbrt-prod_binary64`
6×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`add-log-exp_binary64`
3×	`pow1/3_binary64`
1×	`associate-r_binary64` `distribute-rgt-out--_binary64` `associate-l_binary64` `*-commutative_binary64`

Counts

4 → 90

Calls

4 calls:

1.0ms	(cbrt.f64 y)
19.0ms	(.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)))

series717.0ms

Counts

4 → 12

Calls

4 calls:

81.0ms	(cbrt.f64 y)
361.0ms	(.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)))))
142.0ms	(cbrt.f64 (*.f64 y (-.f64 x z)))
133.0ms	(cbrt.f64 (-.f64 (.f64 x y) (.f64 z y)))

simplify86.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4975	3457
1	4975	3457

prune95.0ms

Filtered

82 candidates to 102 candidates (-24.4%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	102	0	102
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	102	10	112

Merged error: 0.0b

Counts

112 → 10

localize9.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 t)
0.6b	(cbrt.f64 t)
1.5b	(.f64 (.f64 y (.f64 (-.f64 x z) (.f64 (cbrt.f64 t) (cbrt.f64 t)))) (cbrt.f64 t))
5.7b	(.f64 y (.f64 (-.f64 x z) (*.f64 (cbrt.f64 t) (cbrt.f64 t))))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

27×	`pow1_binary64` `add-exp-log_binary64`
19×	`add-cbrt-cube_binary64`
16×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
9×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `cbrt-prod_binary64`
7×	`associate-r_binary64`
6×	`associate-*l/_binary64`
4×	`add-log-exp_binary64` `associate-r/_binary64` `associate-l*_binary64`
2×	`flip3--_binary64` `pow1/3_binary64` `flip--_binary64` `*-commutative_binary64`

Counts

4 → 74

Calls

4 calls:

1.0ms	(cbrt.f64 t)
1.0ms	(cbrt.f64 t)
15.0ms	(.f64 (.f64 y (.f64 (-.f64 x z) (.f64 (cbrt.f64 t) (cbrt.f64 t)))) (cbrt.f64 t))
12.0ms	(.f64 y (.f64 (-.f64 x z) (*.f64 (cbrt.f64 t) (cbrt.f64 t))))

series410.0ms

Counts

4 → 12

Calls

4 calls:

87.0ms	(cbrt.f64 t)
83.0ms	(cbrt.f64 t)
67.0ms	(.f64 (.f64 y (.f64 (-.f64 x z) (.f64 (cbrt.f64 t) (cbrt.f64 t)))) (cbrt.f64 t))
172.0ms	(.f64 y (.f64 (-.f64 x z) (*.f64 (cbrt.f64 t) (cbrt.f64 t))))

simplify117.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (96.0ms)

Iter	Nodes	Cost
0	4887	966
1	4887	966

prune44.0ms

Filtered

61 candidates to 86 candidates (-41.0%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	83	3	86
Fresh	1	6	7
Picked	0	1	1
Done	0	2	2
Total	84	12	96

Merged error: 0.0b

Counts

96 → 12

regimes225.0ms

Accuracy

80.2% (1.4b remaining)

Error of 1.5b against oracle of 0.0b and baseline of 7.2b

bsearch1.0ms

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	55	55
1	55	55

end0.0ms

sample534.0ms

Algorithm

intervals

Results

242.0ms	8000×	body	80	valid
55.0ms	1834×	body	80	invalid

Details

analyze640.0ms

sample19.0ms

simplify40.0ms

prune3.0ms

localize7.0ms

rewrite12.0ms

series84.0ms

simplify75.0ms

prune35.0ms

localize15.0ms

rewrite38.0ms

series763.0ms

simplify77.0ms

prune92.0ms

localize18.0ms

rewrite33.0ms

series717.0ms

simplify86.0ms

prune95.0ms

localize9.0ms

rewrite32.0ms

series410.0ms

simplify117.0ms

prune44.0ms

regimes225.0ms

bsearch1.0ms

simplify4.0ms

end0.0ms

sample534.0ms

Profiling