Details

analyze24.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
50%	50%	0.1%	3
74.9%	25%	0.1%	4
74.9%	25%	0.1%	5
87.4%	12.5%	0.1%	6
87.4%	12.5%	0.1%	7
93.7%	6.2%	0.1%	8
93.7%	6.2%	0.1%	9
96.8%	3.1%	0.1%	10
96.8%	3.1%	0.1%	11
98.3%	1.6%	0.1%	12
98.3%	1.6%	0.1%	13
99.1%	0.8%	0.1%	14

sample15.0ms

Algorithm

intervals

Results

5.0ms	226×	body	80	valid
1.0ms	13×	body	1280	valid
1.0ms	5×	body	2560	valid
1.0ms	6×	body	640	valid
0.0ms	5×	body	320	valid
0.0ms	1×	body	160	valid

simplify19.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (16.0ms)

Iter	Nodes	Cost
0	297	7
1	297	7

prune3.0ms

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: 0.1b

Counts

2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(-.f64 x (*.f64 (/.f64 3.0 8.0) y))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp_binary64`
1×	`*-un-lft-identity_binary64` `sub-neg_binary64` `pow1_binary64` `flip3--_binary64` `diff-log_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64` `flip--_binary64`

Counts

1 → 11

Calls

1 calls:

4.0ms

(-.f64 x (*.f64 (/.f64 3.0 8.0) y))

series5.0ms

Counts

1 → 3

Calls

1 calls:

5.0ms

(-.f64 x (*.f64 (/.f64 3.0 8.0) y))

simplify39.0ms

Algorithm

egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	4999	145
1	4999	145

prune25.0ms

Filtered

11 candidates to 14 candidates (-27.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	11	3	14
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	11	4	15

Merged error: 0.1b

Counts

15 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

0.4b	(.f64 (cbrt.f64 (-.f64 x (.f64 (/.f64 3.0 8.0) y))) (cbrt.f64 (-.f64 x (*.f64 (/.f64 3.0 8.0) y))))
0.5b	(cbrt.f64 (-.f64 x (*.f64 (/.f64 3.0 8.0) y)))
0.5b	(cbrt.f64 (-.f64 x (*.f64 (/.f64 3.0 8.0) y)))
0.5b	(cbrt.f64 (-.f64 x (*.f64 (/.f64 3.0 8.0) y)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 87

Calls

4 calls:

9.0ms	(.f64 (cbrt.f64 (-.f64 x (.f64 (/.f64 3.0 8.0) y))) (cbrt.f64 (-.f64 x (*.f64 (/.f64 3.0 8.0) y))))
3.0ms	(cbrt.f64 (-.f64 x (*.f64 (/.f64 3.0 8.0) y)))
3.0ms	(cbrt.f64 (-.f64 x (*.f64 (/.f64 3.0 8.0) y)))
3.0ms	(cbrt.f64 (-.f64 x (*.f64 (/.f64 3.0 8.0) y)))

series171.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(.f64 (cbrt.f64 (-.f64 x (.f64 (/.f64 3.0 8.0) y))) (cbrt.f64 (-.f64 x (*.f64 (/.f64 3.0 8.0) y))))
39.0ms	(cbrt.f64 (-.f64 x (*.f64 (/.f64 3.0 8.0) y)))
41.0ms	(cbrt.f64 (-.f64 x (*.f64 (/.f64 3.0 8.0) y)))
40.0ms	(cbrt.f64 (-.f64 x (*.f64 (/.f64 3.0 8.0) y)))

simplify68.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4915	1451
1	4915	1451

prune164.0ms

Filtered

80 candidates to 99 candidates (-23.8%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	90	9	99
Fresh	1	1	2
Picked	1	0	1
Done	0	1	1
Total	92	11	103

Merged error: 0.0b

Counts

103 → 11

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (-.f64 x (*.f64 (/.f64 3.0 8.0) y)))
0.5b	(cbrt.f64 (-.f64 x (*.f64 (/.f64 3.0 8.0) y)))
0.6b	(cbrt.f64 (cbrt.f64 (-.f64 x (*.f64 (/.f64 3.0 8.0) y))))
0.6b	(cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 x (*.f64 (/.f64 3.0 8.0) y))) 2))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

29×	`cbrt-prod_binary64`
11×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
8×	`cbrt-div_binary64`
6×	`unpow-prod-down_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `pow1/3_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`flip3--_binary64` `flip--_binary64`
1×	`unpow2_binary64` `sqr-pow_binary64`

Counts

4 → 61

Calls

4 calls:

3.0ms	(cbrt.f64 (-.f64 x (*.f64 (/.f64 3.0 8.0) y)))
3.0ms	(cbrt.f64 (-.f64 x (*.f64 (/.f64 3.0 8.0) y)))
4.0ms	(cbrt.f64 (cbrt.f64 (-.f64 x (*.f64 (/.f64 3.0 8.0) y))))
5.0ms	(cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 x (*.f64 (/.f64 3.0 8.0) y))) 2))

series172.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(cbrt.f64 (-.f64 x (*.f64 (/.f64 3.0 8.0) y)))
39.0ms	(cbrt.f64 (-.f64 x (*.f64 (/.f64 3.0 8.0) y)))
40.0ms	(cbrt.f64 (cbrt.f64 (-.f64 x (*.f64 (/.f64 3.0 8.0) y))))
52.0ms	(cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 x (*.f64 (/.f64 3.0 8.0) y))) 2))

simplify69.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4948	986
1	4948	986

prune175.0ms

Filtered

66 candidates to 73 candidates (-10.6%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	72	1	73
Fresh	0	9	9
Picked	0	1	1
Done	0	1	1
Total	72	12	84

Merged error: 0.0b

Counts

84 → 12

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (-.f64 x (*.f64 (/.f64 3.0 8.0) y)))
0.5b	(pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 x (*.f64 (/.f64 3.0 8.0) y)))) 2)
0.6b	(cbrt.f64 (cbrt.f64 (-.f64 x (*.f64 (/.f64 3.0 8.0) y))))
0.6b	(cbrt.f64 (cbrt.f64 (-.f64 x (*.f64 (/.f64 3.0 8.0) y))))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

30×	`cbrt-prod_binary64`
13×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
10×	`cbrt-div_binary64`
9×	`unpow-prod-down_binary64`
5×	`pow1_binary64` `add-exp-log_binary64`
4×	`add-log-exp_binary64` `pow1/3_binary64` `add-cbrt-cube_binary64`
3×	`pow-unpow_binary64` `flip3--_binary64` `flip--_binary64`
2×	`pow-pow_binary64`
1×	`pow-to-exp_binary64` `unpow2_binary64` `sqr-pow_binary64` `pow-exp_binary64`

Counts

4 → 70

Calls

4 calls:

3.0ms	(cbrt.f64 (-.f64 x (*.f64 (/.f64 3.0 8.0) y)))
6.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 x (*.f64 (/.f64 3.0 8.0) y)))) 2)
4.0ms	(cbrt.f64 (cbrt.f64 (-.f64 x (*.f64 (/.f64 3.0 8.0) y))))
4.0ms	(cbrt.f64 (cbrt.f64 (-.f64 x (*.f64 (/.f64 3.0 8.0) y))))

series174.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(cbrt.f64 (-.f64 x (*.f64 (/.f64 3.0 8.0) y)))
48.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 x (*.f64 (/.f64 3.0 8.0) y)))) 2)
43.0ms	(cbrt.f64 (cbrt.f64 (-.f64 x (*.f64 (/.f64 3.0 8.0) y))))
41.0ms	(cbrt.f64 (cbrt.f64 (-.f64 x (*.f64 (/.f64 3.0 8.0) y))))

simplify52.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5053	1107

prune146.0ms

Filtered

68 candidates to 82 candidates (-20.6%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	82	0	82
Fresh	0	9	9
Picked	0	1	1
Done	0	2	2
Total	82	12	94

Merged error: 0.0b

Counts

94 → 12

regimes273.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	41	7
1	41	7

end0.0ms

sample347.0ms

Algorithm

intervals

Results

167.0ms	7384×	body	80	valid
21.0ms	213×	body	1280	valid
15.0ms	102×	body	2560	valid
12.0ms	151×	body	640	valid
6.0ms	101×	body	320	valid
2.0ms	49×	body	160	valid

Details

analyze24.0ms

sample15.0ms

simplify19.0ms

prune3.0ms

localize5.0ms

rewrite4.0ms

series5.0ms

simplify39.0ms

prune25.0ms

localize8.0ms

rewrite21.0ms

series171.0ms

simplify68.0ms

prune164.0ms

localize14.0ms

rewrite16.0ms

series172.0ms

simplify69.0ms

prune175.0ms

localize15.0ms

rewrite18.0ms

series174.0ms

simplify52.0ms

prune146.0ms

regimes273.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample347.0ms

Profiling