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

sample14.0ms

Algorithm

intervals

Results

5.0ms	235×	body	128	valid
1.0ms	9×	body	2048	valid
1.0ms	7×	body	1024	valid
0.0ms	4×	body	512	valid
0.0ms	1×	body	256	valid

simplify12.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (6.0ms)

Iter	Nodes	Cost
0	98	7
1	98	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))

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 3/8 y))

series42.0ms

Counts

1 → 3

Calls

1 calls:

42.0ms

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

simplify81.0ms

Algorithm

egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	4857	161
1	4857	161

prune15.0ms

Filtered

10 candidates to 14 candidates (-40.0%)

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: 0.0b

Counts

15 → 4

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

rewrite26.0ms

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))))
3.0ms	(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)))

series941.0ms

Counts

4 → 12

Calls

4 calls:

249.0ms	(.f64 (cbrt.f64 (-.f64 x (.f64 3/8 y))) (cbrt.f64 (-.f64 x (*.f64 3/8 y))))
224.0ms	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))
235.0ms	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))
233.0ms	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))

simplify115.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (92.0ms)

Iter	Nodes	Cost
0	4825	1829
1	4825	1829

prune119.0ms

Filtered

80 candidates to 99 candidates (-23.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	97	2	99
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	98	5	103

Merged error: 0.0b

Counts

103 → 5

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-prod_binary64`
10×	`cbrt-div_binary64`
9×	`*-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 → 55

Calls

4 calls:

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

series899.0ms

Counts

4 → 12

Calls

4 calls:

221.0ms	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))
229.0ms	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))
221.0ms	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))
227.0ms	(cbrt.f64 (cbrt.f64 (-.f64 x (*.f64 3/8 y))))

simplify107.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 0 (88.0ms)

Iter	Nodes	Cost
0	4825	1147
1	4825	1147

prune126.0ms

Filtered

63 candidates to 67 candidates (-6.3%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	67	0	67
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	67	5	72

Merged error: 0.0b

Counts

72 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (*.f64 3/8 y))
0.1b	(.f64 y (.f64 y 9/64))
2.6b	(-.f64 (.f64 x x) (.f64 y (*.f64 y 9/64)))
29.5b	(/.f64 (-.f64 (.f64 x x) (.f64 y (.f64 y 9/64))) (+.f64 x (.f64 3/8 y)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

13×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
11×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`pow1_binary64` `times-frac_binary64`
8×	`add-log-exp_binary64`
3×	`pow-prod-down_binary64` `associate-/r_binary64` `cbrt-unprod_binary64` `associate-l_binary64` `prod-exp_binary64` `associate-/l_binary64`
2×	`flip3-+_binary64` `associate-/l/_binary64` `flip3--_binary64` `associate-/r/_binary64` `flip--_binary64` `flip-+_binary64`
1×	`sub-neg_binary64` `diff-log_binary64` `associate-r_binary64` `cbrt-undiv_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `+-commutative_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

4 → 72

Calls

4 calls:

3.0ms	(+.f64 x (*.f64 3/8 y))
5.0ms	(.f64 y (.f64 y 9/64))
4.0ms	(-.f64 (.f64 x x) (.f64 y (*.f64 y 9/64)))
7.0ms	(/.f64 (-.f64 (.f64 x x) (.f64 y (.f64 y 9/64))) (+.f64 x (.f64 3/8 y)))

series229.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(+.f64 x (*.f64 3/8 y))
35.0ms	(.f64 y (.f64 y 9/64))
61.0ms	(-.f64 (.f64 x x) (.f64 y (*.f64 y 9/64)))
100.0ms	(/.f64 (-.f64 (.f64 x x) (.f64 y (.f64 y 9/64))) (+.f64 x (.f64 3/8 y)))

simplify55.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	4938	1453
1	4938	1453

prune65.0ms

Filtered

61 candidates to 84 candidates (-37.7%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	81	3	84
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	81	8	89

Merged error: 0.0b

Counts

89 → 8

regimes40.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	33	7
1	33	7

end0.0ms

sample357.0ms

Algorithm

intervals

Results

168.0ms	7402×	body	128	valid
17.0ms	185×	body	2048	valid
16.0ms	215×	body	1024	valid
7.0ms	127×	body	512	valid
3.0ms	71×	body	256	valid

Details

analyze24.0ms

sample14.0ms

simplify12.0ms

prune3.0ms

localize4.0ms

rewrite4.0ms

series42.0ms

simplify81.0ms

prune15.0ms

localize8.0ms

rewrite26.0ms

series941.0ms

simplify115.0ms

prune119.0ms

localize14.0ms

rewrite20.0ms

series899.0ms

simplify107.0ms

prune126.0ms

localize9.0ms

rewrite26.0ms

series229.0ms

simplify55.0ms

prune65.0ms

regimes40.0ms

bsearch0.0ms

simplify4.0ms

end0.0ms

sample357.0ms

Profiling