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

sample12.0ms

Algorithm

intervals

Results

5.0ms	236×	body	80	valid
1.0ms	9×	body	1280	valid
0.0ms	5×	body	640	valid
0.0ms	3×	body	2560	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	160	valid

simplify16.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (8.0ms)

Iter	Nodes	Cost
0	99	7
1	99	7

prune3.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.1b

Counts

2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b	(-.f64 x (*.f64 3/8 y))

rewrite3.0ms

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:

3.0ms

(-.f64 x (*.f64 3/8 y))

series20.0ms

Counts

1 → 3

Calls

1 calls:

20.0ms

(-.f64 x (*.f64 3/8 y))

simplify102.0ms

Algorithm

egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 0 (91.0ms)

Iter	Nodes	Cost
0	5762	161

prune15.0ms

Filtered

10 candidates to 14 candidates (-40.0%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	10	4	14
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	10	5	15

Merged error: 0.0b

Counts

15 → 5

localize8.0ms

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (-.f64 x (.f64 3/8 y))) (cbrt.f64 (-.f64 x (*.f64 3/8 y))))
0.6b	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))
0.6b	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))
0.6b	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))

rewrite19.0ms

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 3/8 y))) (cbrt.f64 (-.f64 x (*.f64 3/8 y))))
2.0ms	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))
3.0ms	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))
3.0ms	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))

series495.0ms

Counts

4 → 12

Calls

4 calls:

137.0ms	(.f64 (cbrt.f64 (-.f64 x (.f64 3/8 y))) (cbrt.f64 (-.f64 x (*.f64 3/8 y))))
118.0ms	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))
118.0ms	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))
122.0ms	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))

simplify100.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	4914	1829
1	4914	1829

prune114.0ms

Filtered

80 candidates to 99 candidates (-23.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	98	1	99
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	98	6	104

Merged error: 0.0b

Counts

104 → 6

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))
0.6b	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))
0.6b	(cbrt.f64 (cbrt.f64 (-.f64 x (*.f64 3/8 y))))
0.6b	(cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 x (*.f64 3/8 y))) 2))

rewrite15.0ms

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 3/8 y)))
2.0ms	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))
3.0ms	(cbrt.f64 (cbrt.f64 (-.f64 x (*.f64 3/8 y))))
5.0ms	(cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 x (*.f64 3/8 y))) 2))

series495.0ms

Counts

4 → 12

Calls

4 calls:

116.0ms	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))
116.0ms	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))
123.0ms	(cbrt.f64 (cbrt.f64 (-.f64 x (*.f64 3/8 y))))
139.0ms	(cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 x (*.f64 3/8 y))) 2))

simplify102.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (81.0ms)

Iter	Nodes	Cost
0	4883	1322
1	4883	1322

prune128.0ms

Filtered

66 candidates to 73 candidates (-10.6%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	72	1	73
Fresh	0	3	3
Picked	0	1	1
Done	1	1	2
Total	73	6	79

Merged error: 0.0b

Counts

79 → 6

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (cbrt.f64 (-.f64 x (*.f64 3/8 y))))
0.6b	(cbrt.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 x (.f64 3/8 y)))) 2) (cbrt.f64 (cbrt.f64 (-.f64 x (*.f64 3/8 y))))))
0.6b	(pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 x (*.f64 3/8 y)))) 2)
0.6b	(cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 x (*.f64 3/8 y))) 2))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

33×	`cbrt-prod_binary64`
15×	`unpow-prod-down_binary64`
13×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
10×	`cbrt-div_binary64`
5×	`pow1_binary64` `add-exp-log_binary64`
4×	`add-log-exp_binary64` `pow1/3_binary64` `add-cbrt-cube_binary64`
3×	`pow-unpow_binary64` `unpow2_binary64`
2×	`flip3--_binary64` `associate-*r/_binary64` `pow-pow_binary64` `sqr-pow_binary64` `flip--_binary64`
1×	`pow-to-exp_binary64` `rem-cbrt-cube_binary64` `pow3_binary64` `pow-exp_binary64`

Counts

4 → 72

Calls

4 calls:

3.0ms	(cbrt.f64 (cbrt.f64 (-.f64 x (*.f64 3/8 y))))
10.0ms	(cbrt.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 x (.f64 3/8 y)))) 2) (cbrt.f64 (cbrt.f64 (-.f64 x (*.f64 3/8 y))))))
6.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 x (*.f64 3/8 y)))) 2)
4.0ms	(cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 x (*.f64 3/8 y))) 2))

series571.0ms

Counts

4 → 12

Calls

4 calls:

121.0ms	(cbrt.f64 (cbrt.f64 (-.f64 x (*.f64 3/8 y))))
126.0ms	(cbrt.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 x (.f64 3/8 y)))) 2) (cbrt.f64 (cbrt.f64 (-.f64 x (*.f64 3/8 y))))))
186.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 x (*.f64 3/8 y)))) 2)
137.0ms	(cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 x (*.f64 3/8 y))) 2))

simplify82.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5091	1584

prune163.0ms

Filtered

67 candidates to 84 candidates (-25.4%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	84	6	90

Merged error: 0.0b

Counts

90 → 6

regimes29.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	33	7
1	33	7

end0.0ms

sample334.0ms

Algorithm

intervals

Results

163.0ms	7394×	body	80	valid
20.0ms	214×	body	1280	valid
12.0ms	160×	body	640	valid
10.0ms	89×	body	2560	valid
5.0ms	84×	body	320	valid
2.0ms	59×	body	160	valid

Details

analyze24.0ms

sample12.0ms

simplify16.0ms

prune3.0ms

localize4.0ms

rewrite3.0ms

series20.0ms

simplify102.0ms

prune15.0ms

localize8.0ms

rewrite19.0ms

series495.0ms

simplify100.0ms

prune114.0ms

localize15.0ms

rewrite15.0ms

series495.0ms

simplify102.0ms

prune128.0ms

localize19.0ms

rewrite25.0ms

series571.0ms

simplify82.0ms

prune163.0ms

regimes29.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample334.0ms

Profiling