Details

analyze400.0ms

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
25%	74.9%	0.2%	7
25%	74.9%	0.2%	8
34.3%	65.5%	0.2%	9
39%	60.8%	0.2%	10
48.3%	51.5%	0.2%	11
53.7%	46.1%	0.2%	12
63.1%	36.7%	0.2%	13
64%	35.6%	0.4%	14

sample18.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
0.0ms	9×	body	80	invalid

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (7.0ms)

Iter	Nodes	Cost
0	125	7
1	125	7

prune2.0ms

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: 3.4b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(-.f64 y (*.f64 z t))
3.4b	(/.f64 x (-.f64 y (*.f64 z t)))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

10×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
9×	`times-frac_binary64`
4×	`add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`associate-/r_binary64` `associate-/l_binary64`
2×	`pow1_binary64` `flip3--_binary64` `associate-/r/_binary64` `flip--_binary64`
1×	`sub-neg_binary64` `diff-log_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64`

Counts

2 → 40

Calls

2 calls:

3.0ms	(-.f64 y (*.f64 z t))
5.0ms	(/.f64 x (-.f64 y (*.f64 z t)))

series21.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(-.f64 y (*.f64 z t))
14.0ms	(/.f64 x (-.f64 y (*.f64 z t)))

simplify48.0ms

Algorithm

egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4953	449
1	4953	449

prune46.0ms

Filtered

36 candidates to 46 candidates (-27.8%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	39	7	46
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	39	8	47

Merged error: 3.3b

Counts

47 → 8

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(-.f64 y (*.f64 z t))
0.7b	(/.f64 1 (/.f64 (-.f64 y (*.f64 z t)) x))
3.4b	(/.f64 (-.f64 y (*.f64 z t)) x)

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac_binary64`
53×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
16×	`associate-/r*_binary64` `add-exp-log_binary64`
10×	`add-cbrt-cube_binary64`
8×	`div-exp_binary64`
6×	`associate-/l*_binary64` `div-inv_binary64`
5×	`add-log-exp_binary64`
4×	`pow1_binary64` `cbrt-undiv_binary64`
2×	`associate-/l/_binary64` `flip3--_binary64` `1-exp_binary64` `clear-num_binary64` `frac-2neg_binary64` `rec-exp_binary64` `flip--_binary64`
1×	`sub-neg_binary64` `diff-log_binary64` `associate-/r/_binary64` `div-sub_binary64` `inv-pow_binary64` `pow-flip_binary64`

Counts

3 → 117

Calls

3 calls:

3.0ms	(-.f64 y (*.f64 z t))
8.0ms	(/.f64 1 (/.f64 (-.f64 y (*.f64 z t)) x))
6.0ms	(/.f64 (-.f64 y (*.f64 z t)) x)

series54.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(-.f64 y (*.f64 z t))
32.0ms	(/.f64 1 (/.f64 (-.f64 y (*.f64 z t)) x))
14.0ms	(/.f64 (-.f64 y (*.f64 z t)) x)

simplify60.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5764	1562

prune62.0ms

Filtered

80 candidates to 126 candidates (-57.5%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	123	3	126
Fresh	1	5	6
Picked	1	0	1
Done	0	1	1
Total	125	9	134

Merged error: 3.3b

Counts

134 → 9

localize9.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
1.8b	(/.f64 (-.f64 y (*.f64 z t)) (cbrt.f64 x))
1.9b	(/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (/.f64 (-.f64 y (.f64 z t)) (cbrt.f64 x)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

76×	`times-frac_binary64`
47×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
36×	`cbrt-prod_binary64`
28×	`associate-/r*_binary64`
18×	`add-exp-log_binary64`
11×	`add-cbrt-cube_binary64`
7×	`cbrt-undiv_binary64` `div-exp_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `associate-/l*_binary64` `div-inv_binary64`
2×	`associate-/l/_binary64` `cbrt-unprod_binary64` `pow1/3_binary64` `clear-num_binary64` `prod-exp_binary64` `frac-2neg_binary64`
1×	`flip3--_binary64` `associate-/r/_binary64` `div-sub_binary64` `flip--_binary64`

Counts

4 → 128

Calls

4 calls:

1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
6.0ms	(/.f64 (-.f64 y (*.f64 z t)) (cbrt.f64 x))
12.0ms	(/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (/.f64 (-.f64 y (.f64 z t)) (cbrt.f64 x)))

series85.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(cbrt.f64 x)
15.0ms	(cbrt.f64 x)
38.0ms	(/.f64 (-.f64 y (*.f64 z t)) (cbrt.f64 x))
17.0ms	(/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (/.f64 (-.f64 y (.f64 z t)) (cbrt.f64 x)))

simplify50.0ms

Algorithm

egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5199	1729

prune82.0ms

Filtered

119 candidates to 140 candidates (-17.6%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	140	0	140
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	140	9	149

Merged error: 3.3b

Counts

149 → 9

localize14.0ms

Local error

Found 4 expressions with local error:

0.8b	(/.f64 1 (.f64 (cbrt.f64 (-.f64 y (.f64 z t))) (cbrt.f64 (-.f64 y (*.f64 z t)))))
8.4b	(cbrt.f64 (-.f64 y (*.f64 z t)))
8.4b	(cbrt.f64 (-.f64 y (*.f64 z t)))
8.4b	(cbrt.f64 (-.f64 y (*.f64 z t)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-div_binary64`
15×	`add-exp-log_binary64`
12×	`pow1_binary64`
9×	`*-un-lft-identity_binary64` `flip3--_binary64` `pow1/3_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `flip--_binary64` `pow-flip_binary64` `cbrt-prod_binary64`
8×	`associate-/r/_binary64`
7×	`add-cbrt-cube_binary64`
4×	`add-log-exp_binary64` `div-exp_binary64` `frac-times_binary64`
3×	`prod-exp_binary64` `associate-/l*_binary64` `times-frac_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `1-exp_binary64` `cbrt-undiv_binary64` `associate-r/_binary64` `rec-exp_binary64` `pow-sqr_binary64` `associate-l/_binary64`
1×	`associate-/r*_binary64` `cbrt-unprod_binary64` `pow-plus_binary64` `clear-num_binary64` `inv-pow_binary64` `frac-2neg_binary64` `div-inv_binary64` `pow2_binary64`

Counts

4 → 82

Calls

4 calls:

11.0ms	(/.f64 1 (.f64 (cbrt.f64 (-.f64 y (.f64 z t))) (cbrt.f64 (-.f64 y (*.f64 z t)))))
3.0ms	(cbrt.f64 (-.f64 y (*.f64 z t)))
3.0ms	(cbrt.f64 (-.f64 y (*.f64 z t)))
3.0ms	(cbrt.f64 (-.f64 y (*.f64 z t)))

series157.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(/.f64 1 (.f64 (cbrt.f64 (-.f64 y (.f64 z t))) (cbrt.f64 (-.f64 y (*.f64 z t)))))
34.0ms	(cbrt.f64 (-.f64 y (*.f64 z t)))
33.0ms	(cbrt.f64 (-.f64 y (*.f64 z t)))
36.0ms	(cbrt.f64 (-.f64 y (*.f64 z t)))

simplify46.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5425	1015

prune45.0ms

Filtered

73 candidates to 94 candidates (-28.8%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	94	0	94
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	94	9	103

Merged error: 3.3b

Counts

103 → 9

regimes496.0ms

Accuracy

0% (0.1b remaining)

Error of 3.0b against oracle of 3.0b and baseline of 3.0b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	34	7
1	34	7

end0.0ms

sample494.0ms

Algorithm

intervals

Results

257.0ms	8000×	body	80	valid
11.0ms	323×	body	80	invalid

Details

analyze400.0ms

sample18.0ms

simplify9.0ms

prune2.0ms

localize5.0ms

rewrite9.0ms

series21.0ms

simplify48.0ms

prune46.0ms

localize7.0ms

rewrite23.0ms

series54.0ms

simplify60.0ms

prune62.0ms

localize9.0ms

rewrite27.0ms

series85.0ms

simplify50.0ms

prune82.0ms

localize14.0ms

rewrite22.0ms

series157.0ms

simplify46.0ms

prune45.0ms

regimes496.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample494.0ms

Profiling