Details

analyze229.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
25%	74.9%	0.1%	4
37.5%	62.4%	0.1%	5
62.4%	37.5%	0.1%	6
87.4%	12.5%	0.1%	7
87.4%	12.5%	0.1%	8
93.7%	6.2%	0.1%	9
93.7%	6.2%	0.1%	10
96.8%	3.1%	0.1%	11
96.8%	3.1%	0.1%	12
98.3%	1.6%	0.1%	13
98.3%	1.6%	0.1%	14

sample15.0ms

Algorithm

intervals

Results

7.0ms

256×

body

128

valid

simplify237.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	782	10
1	782	10

prune6.0ms

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: 0.0b

Counts

2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(/.f64 (+.f64 f n) (-.f64 n f))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity_binary64`
22×	`add-sqr-sqrt_binary64`
20×	`times-frac_binary64`
12×	`add-cube-cbrt_binary64`
6×	`distribute-lft-out_binary64`
5×	`associate-/r*_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64`
4×	`associate-/l*_binary64`
3×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
2×	`associate-/l/_binary64` `associate-/r/_binary64`
1×	`flip3-+_binary64` `add-log-exp_binary64` `pow1_binary64` `flip3--_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `flip--_binary64` `flip-+_binary64`

Counts

1 → 45

Calls

1 calls:

10.0ms

(/.f64 (+.f64 f n) (-.f64 n f))

series101.0ms

Counts

1 → 3

Calls

1 calls:

101.0ms

(/.f64 (+.f64 f n) (-.f64 n f))

simplify63.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5379	802

prune32.0ms

Filtered

32 candidates to 48 candidates (-50.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	45	3	48
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	45	4	49

Merged error: 0b

Counts

49 → 4

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(exp.f64 (/.f64 (+.f64 f n) (-.f64 n f)))
0.0b	(/.f64 (+.f64 f n) (-.f64 n f))
0.0b	(log.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

93×	`*-un-lft-identity_binary64`
61×	`add-sqr-sqrt_binary64`
60×	`times-frac_binary64`
52×	`exp-prod_binary64`
35×	`add-cube-cbrt_binary64`
27×	`log-pow_binary64`
16×	`distribute-lft-out_binary64`
13×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
6×	`associate-/r/_binary64`
5×	`associate-/r*_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `associate-/l*_binary64`
3×	`flip3--_binary64` `log-prod_binary64` `div-inv_binary64` `flip--_binary64`
2×	`associate-/l/_binary64`
1×	`flip3-+_binary64` `cbrt-undiv_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-exp_binary64` `flip-+_binary64`

Counts

3 → 117

Calls

3 calls:

10.0ms	(exp.f64 (/.f64 (+.f64 f n) (-.f64 n f)))
8.0ms	(/.f64 (+.f64 f n) (-.f64 n f))
11.0ms	(log.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))))

series343.0ms

Counts

3 → 9

Calls

3 calls:

131.0ms	(exp.f64 (/.f64 (+.f64 f n) (-.f64 n f)))
80.0ms	(/.f64 (+.f64 f n) (-.f64 n f))
132.0ms	(log.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))))

simplify75.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4996	1790
1	4996	1790

prune60.0ms

Filtered

83 candidates to 126 candidates (-51.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	126	0	126
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	126	4	130

Merged error: 0b

Counts

130 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 (+.f64 f n)) (cbrt.f64 (+.f64 f n)))
0.5b	(cbrt.f64 (+.f64 f n))
0.5b	(cbrt.f64 (+.f64 f n))
0.5b	(cbrt.f64 (+.f64 f n))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod_binary64`
35×	`*-un-lft-identity_binary64`
23×	`add-sqr-sqrt_binary64`
18×	`cbrt-div_binary64`
15×	`add-cube-cbrt_binary64`
11×	`pow1_binary64`
9×	`flip3-+_binary64` `swap-sqr_binary64` `distribute-lft-out_binary64` `pow1/3_binary64` `flip-+_binary64`
7×	`associate-r_binary64` `associate-l_binary64`
6×	`add-exp-log_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 → 95

Calls

4 calls:

11.0ms	(*.f64 (cbrt.f64 (+.f64 f n)) (cbrt.f64 (+.f64 f n)))
3.0ms	(cbrt.f64 (+.f64 f n))
3.0ms	(cbrt.f64 (+.f64 f n))
3.0ms	(cbrt.f64 (+.f64 f n))

series945.0ms

Counts

4 → 12

Calls

4 calls:

279.0ms	(*.f64 (cbrt.f64 (+.f64 f n)) (cbrt.f64 (+.f64 f n)))
227.0ms	(cbrt.f64 (+.f64 f n))
223.0ms	(cbrt.f64 (+.f64 f n))
215.0ms	(cbrt.f64 (+.f64 f n))

simplify73.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4928	1508
1	4928	1508

prune66.0ms

Filtered

74 candidates to 107 candidates (-44.6%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	107	4	111

Merged error: 0b

Counts

111 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b	(.f64 (-.f64 n f) (+.f64 (.f64 f f) (*.f64 n (-.f64 n f))))
1.6b	(+.f64 (.f64 f f) (.f64 n (-.f64 n f)))
3.1b	(+.f64 (pow.f64 f 3) (pow.f64 n 3))
40.8b	(/.f64 (+.f64 (pow.f64 f 3) (pow.f64 n 3)) (.f64 (-.f64 n f) (+.f64 (.f64 f f) (*.f64 n (-.f64 n f)))))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

40×	`*-un-lft-identity_binary64`
15×	`distribute-lft-out_binary64`
12×	`unpow-prod-down_binary64` `add-sqr-sqrt_binary64` `cube-prod_binary64`
11×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`flip3-+_binary64` `associate-/l*_binary64` `times-frac_binary64` `flip-+_binary64`
8×	`add-log-exp_binary64` `add-cube-cbrt_binary64` `associate-/r/_binary64` `frac-times_binary64`
6×	`pow1_binary64` `flip3--_binary64` `flip--_binary64`
5×	`associate-l_binary64`
4×	`associate-r/_binary64` `associate-l/_binary64`
3×	`associate-r_binary64` `sum-cubes_binary64`
2×	`associate-/l/_binary64` `sub-neg_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `prod-exp_binary64` `div-exp_binary64` `+-commutative_binary64` `associate-+r+_binary64` `sum-log_binary64`
1×	`pow-prod-down_binary64` `associate-/r_binary64` `unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `div-inv_binary64` `-commutative_binary64`

Counts

4 → 103

Calls

4 calls:

10.0ms	(.f64 (-.f64 n f) (+.f64 (.f64 f f) (*.f64 n (-.f64 n f))))
5.0ms	(+.f64 (.f64 f f) (.f64 n (-.f64 n f)))
11.0ms	(+.f64 (pow.f64 f 3) (pow.f64 n 3))
22.0ms	(/.f64 (+.f64 (pow.f64 f 3) (pow.f64 n 3)) (.f64 (-.f64 n f) (+.f64 (.f64 f f) (*.f64 n (-.f64 n f)))))

series338.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(.f64 (-.f64 n f) (+.f64 (.f64 f f) (*.f64 n (-.f64 n f))))
37.0ms	(+.f64 (.f64 f f) (.f64 n (-.f64 n f)))
63.0ms	(+.f64 (pow.f64 f 3) (pow.f64 n 3))
161.0ms	(/.f64 (+.f64 (pow.f64 f 3) (pow.f64 n 3)) (.f64 (-.f64 n f) (+.f64 (.f64 f f) (*.f64 n (-.f64 n f)))))

simplify69.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5205	2965

prune93.0ms

Filtered

80 candidates to 115 candidates (-43.8%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	115	0	115
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	115	4	119

Merged error: 0b

Counts

119 → 4

regimes23.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	10
1	17	10

end0.0ms

sample311.0ms

Algorithm

intervals

Results

181.0ms

8000×

body

128

valid

Details

analyze229.0ms

sample15.0ms

simplify237.0ms

prune6.0ms

localize6.0ms

rewrite14.0ms

series101.0ms

simplify63.0ms

prune32.0ms

localize8.0ms

rewrite44.0ms

series343.0ms

simplify75.0ms

prune60.0ms

localize8.0ms

rewrite29.0ms

series945.0ms

simplify73.0ms

prune66.0ms

localize12.0ms

rewrite59.0ms

series338.0ms

simplify69.0ms

prune93.0ms

regimes23.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample311.0ms

Profiling