Details

analyze18.0ms

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

sample13.0ms

Algorithm

intervals

Results

5.0ms	234×	body	80	valid
1.0ms	11×	body	1280	valid
0.0ms	4×	body	2560	valid
0.0ms	4×	body	640	valid
0.0ms	2×	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

localize10.0ms

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:

3.0ms

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

series6.0ms

Counts

1 → 3

Calls

1 calls:

6.0ms

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

simplify41.0ms

Algorithm

egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	4999	145
1	4999	145

prune23.0ms

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:

0.5b	(.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)))

rewrite24.0ms

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:

10.0ms	(.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)))

series179.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(.f64 (cbrt.f64 (-.f64 x (.f64 (/.f64 3.0 8.0) y))) (cbrt.f64 (-.f64 x (*.f64 (/.f64 3.0 8.0) y))))
43.0ms	(cbrt.f64 (-.f64 x (*.f64 (/.f64 3.0 8.0) y)))
41.0ms	(cbrt.f64 (-.f64 x (*.f64 (/.f64 3.0 8.0) y)))
42.0ms	(cbrt.f64 (-.f64 x (*.f64 (/.f64 3.0 8.0) y)))

simplify72.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4915	1451
1	4915	1451

prune156.0ms

Filtered

80 candidates to 99 candidates (-23.8%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	94	5	99
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	95	8	103

Merged error: 0.0b

Counts

103 → 8

localize13.0ms

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

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod_binary64`
8×	`cbrt-div_binary64` `*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `flip3--_binary64` `pow1/3_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `flip--_binary64`

Counts

4 → 52

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)))
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:

42.0ms	(cbrt.f64 (-.f64 x (*.f64 (/.f64 3.0 8.0) y)))
43.0ms	(cbrt.f64 (-.f64 x (*.f64 (/.f64 3.0 8.0) y)))
43.0ms	(cbrt.f64 (-.f64 x (*.f64 (/.f64 3.0 8.0) y)))
43.0ms	(cbrt.f64 (-.f64 x (*.f64 (/.f64 3.0 8.0) y)))

simplify52.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5191	812

prune143.0ms

Filtered

60 candidates to 64 candidates (-6.7%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	64	8	72

Merged error: 0.0b

Counts

72 → 8

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 70

Calls

4 calls:

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

series202.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(cbrt.f64 (-.f64 x (*.f64 (/.f64 3.0 8.0) y)))
51.0ms	(cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 x (*.f64 (/.f64 3.0 8.0) y))) 2))
53.0ms	(cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 x (*.f64 (/.f64 3.0 8.0) y))) 2))
54.0ms	(cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 x (*.f64 (/.f64 3.0 8.0) y))) 2))

simplify43.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	4902	1208
1	4902	1208

prune175.0ms

Filtered

69 candidates to 82 candidates (-18.8%)

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	80	2	82
Fresh	0	4	4
Picked	0	1	1
Done	0	3	3
Total	80	10	90

Merged error: 0.0b

Counts

90 → 10

regimes244.0ms

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

sample338.0ms

Algorithm

intervals

Results

154.0ms	7377×	body	80	valid
19.0ms	212×	body	1280	valid
13.0ms	119×	body	2560	valid
12.0ms	165×	body	640	valid
8.0ms	86×	body	320	valid
5.0ms	41×	body	160	valid

Details

analyze18.0ms

sample13.0ms

simplify19.0ms

prune3.0ms

localize10.0ms

rewrite4.0ms

series6.0ms

simplify41.0ms

prune23.0ms

localize8.0ms

rewrite24.0ms

series179.0ms

simplify72.0ms

prune156.0ms

localize13.0ms

rewrite14.0ms

series171.0ms

simplify52.0ms

prune143.0ms

localize14.0ms

rewrite19.0ms

series202.0ms

simplify43.0ms

prune175.0ms

regimes244.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample338.0ms

Profiling