Details

analyze306.0ms

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
6.2%	93.6%	0.1%	6
15.6%	84.3%	0.1%	7
29.6%	70.2%	0.1%	8
33.5%	63.2%	3.3%	9
43.3%	49.5%	7.2%	10
52.1%	39.2%	8.7%	11
54.5%	34.2%	11.3%	12
60.6%	25.6%	13.8%	13
65.2%	20.4%	14.4%	14

sample15.0ms

Algorithm

intervals

Results

7.0ms	256×	body	128	valid
1.0ms	19×	body	128	invalid

simplify23.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (14.0ms)

Iter	Nodes	Cost
0	301	10
1	301	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: 0.0b

Counts

2 → 2

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt_binary64`
6×	`*-un-lft-identity_binary64`
5×	`associate-r_binary64`
4×	`add-log-exp_binary64` `sub-neg_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`associate-l_binary64`
2×	`associate-*r/_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `associate-+r+_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `+-commutative_binary64` `flip--_binary64` `flip-+_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

2 → 37

Calls

2 calls:

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

series117.0ms

Counts

2 → 6

Calls

2 calls:

63.0ms	(*.f64 x (-.f64 y z))
53.0ms	(+.f64 z (*.f64 x (-.f64 y z)))

simplify58.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4979	482
1	4979	482

prune24.0ms

Filtered

29 candidates to 43 candidates (-48.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	41	2	43
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	41	4	45

Merged error: 0b

Counts

45 → 4

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(*.f64 (-.f64 1 x) z)
0.0b	(+.f64 (.f64 x y) (.f64 (-.f64 1 x) z))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt_binary64`
7×	`*-un-lft-identity_binary64`
6×	`associate-l_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`associate-r_binary64`
2×	`difference-of-squares_binary64` `associate-*l/_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `distribute-lft-out--_binary64` `+-commutative_binary64` `flip--_binary64` `flip-+_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

2 → 34

Calls

2 calls:

8.0ms	(*.f64 (-.f64 1 x) z)
5.0ms	(+.f64 (.f64 x y) (.f64 (-.f64 1 x) z))

series96.0ms

Counts

2 → 6

Calls

2 calls:

44.0ms	(*.f64 (-.f64 1 x) z)
52.0ms	(+.f64 (.f64 x y) (.f64 (-.f64 1 x) z))

simplify71.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4976	472
1	4976	472

prune21.0ms

Filtered

26 candidates to 40 candidates (-53.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	40	0	40
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	40	4	44

Merged error: 0b

Counts

44 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.6b	(.f64 (cbrt.f64 (.f64 x (-.f64 y z))) (cbrt.f64 (*.f64 x (-.f64 y z))))
3.3b	(cbrt.f64 (*.f64 x (-.f64 y z)))
3.3b	(cbrt.f64 (*.f64 x (-.f64 y z)))
3.3b	(cbrt.f64 (*.f64 x (-.f64 y z)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-*r/_binary64`
18×	`cbrt-div_binary64`
11×	`pow1_binary64`
10×	`add-sqr-sqrt_binary64`
9×	`flip3--_binary64` `pow1/3_binary64` `flip--_binary64`
8×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
7×	`cbrt-prod_binary64`
6×	`add-exp-log_binary64`
4×	`add-log-exp_binary64` `swap-sqr_binary64` `associate-r_binary64` `add-cbrt-cube_binary64` `associate-l_binary64` `frac-times_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64` `associate-*l/_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 72

Calls

4 calls:

7.0ms	(.f64 (cbrt.f64 (.f64 x (-.f64 y z))) (cbrt.f64 (*.f64 x (-.f64 y z))))
5.0ms	(cbrt.f64 (*.f64 x (-.f64 y z)))
5.0ms	(cbrt.f64 (*.f64 x (-.f64 y z)))
5.0ms	(cbrt.f64 (*.f64 x (-.f64 y z)))

series1.2s

Counts

4 → 12

Calls

4 calls:

356.0ms	(.f64 (cbrt.f64 (.f64 x (-.f64 y z))) (cbrt.f64 (*.f64 x (-.f64 y z))))
287.0ms	(cbrt.f64 (*.f64 x (-.f64 y z)))
268.0ms	(cbrt.f64 (*.f64 x (-.f64 y z)))
277.0ms	(cbrt.f64 (*.f64 x (-.f64 y z)))

simplify64.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4965	1213
1	4965	1213

prune59.0ms

Filtered

67 candidates to 84 candidates (-25.4%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	84	4	88

Merged error: 0b

Counts

88 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(*.f64 x (-.f64 y z))
0.0b	(+.f64 z (*.f64 x (-.f64 y z)))
0.2b	(pow.f64 (+.f64 z (*.f64 x (-.f64 y z))) 3)
39.2b	(cbrt.f64 (pow.f64 (+.f64 z (*.f64 x (-.f64 y z))) 3))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64`
14×	`*-un-lft-identity_binary64`
12×	`add-cube-cbrt_binary64` `cbrt-prod_binary64`
7×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`add-log-exp_binary64` `unpow-prod-down_binary64` `cube-prod_binary64`
5×	`associate-r_binary64`
4×	`sub-neg_binary64` `cube-div_binary64`
3×	`flip3-+_binary64` `pow-unpow_binary64` `associate-l_binary64` `flip-+_binary64`
2×	`cbrt-div_binary64` `associate-*r/_binary64` `sqr-pow_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `associate-+r+_binary64` `unpow3_binary64` `cube-mult_binary64`
1×	`pow-to-exp_binary64` `pow-prod-down_binary64` `rem-cbrt-cube_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `pow1/3_binary64` `pow-pow_binary64` `unswap-sqr_binary64` `rem-cube-cbrt_binary64` `prod-exp_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `+-commutative_binary64` `flip--_binary64` `pow-exp_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

4 → 85

Calls

4 calls:

7.0ms	(*.f64 x (-.f64 y z))
4.0ms	(+.f64 z (*.f64 x (-.f64 y z)))
4.0ms	(pow.f64 (+.f64 z (*.f64 x (-.f64 y z))) 3)
6.0ms	(cbrt.f64 (pow.f64 (+.f64 z (*.f64 x (-.f64 y z))) 3))

series369.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(*.f64 x (-.f64 y z))
52.0ms	(+.f64 z (*.f64 x (-.f64 y z)))
197.0ms	(pow.f64 (+.f64 z (*.f64 x (-.f64 y z))) 3)
55.0ms	(cbrt.f64 (pow.f64 (+.f64 z (*.f64 x (-.f64 y z))) 3))

simplify66.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5031	1470

prune43.0ms

Filtered

57 candidates to 97 candidates (-70.2%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	97	0	97
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	97	4	101

Merged error: 0b

Counts

101 → 4

regimes46.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	10
1	19	10

end0.0ms

sample410.0ms

Algorithm

intervals

Results

213.0ms	8000×	body	128	valid
20.0ms	654×	body	128	invalid

Details

analyze306.0ms

sample15.0ms

simplify23.0ms

prune3.0ms

localize5.0ms

rewrite14.0ms

series117.0ms

simplify58.0ms

prune24.0ms

localize6.0ms

rewrite15.0ms

series96.0ms

simplify71.0ms

prune21.0ms

localize9.0ms

rewrite31.0ms

series1.2s

simplify64.0ms

prune59.0ms

localize8.0ms

rewrite29.0ms

series369.0ms

simplify66.0ms

prune43.0ms

regimes46.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample410.0ms

Profiling