Details

analyze23.0ms

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

sample11.0ms

Algorithm

intervals

Results

5.0ms

256×

body

valid

simplify46.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	781	7
1	781	7

prune6.0ms

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: 0.0b

Counts

2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(/.f64 (+.f64 x y) (-.f64 x y))

rewrite9.0ms

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:

8.0ms

(/.f64 (+.f64 x y) (-.f64 x y))

series10.0ms

Counts

1 → 3

Calls

1 calls:

10.0ms

(/.f64 (+.f64 x y) (-.f64 x y))

simplify49.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4959	532
1	4959	532

prune43.0ms

Filtered

32 candidates to 48 candidates (-50.0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	45	3	48
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	46	3	49

Merged error: 0.0b

Counts

49 → 3

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(log.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
0.0b	(exp.f64 (/.f64 (+.f64 x y) (-.f64 x y)))
0.0b	(/.f64 (+.f64 x y) (-.f64 x y))

rewrite31.0ms

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	(log.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
9.0ms	(exp.f64 (/.f64 (+.f64 x y) (-.f64 x y)))
8.0ms	(/.f64 (+.f64 x y) (-.f64 x y))

series36.0ms

Counts

3 → 9

Calls

3 calls:

10.0ms	(log.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
16.0ms	(exp.f64 (/.f64 (+.f64 x y) (-.f64 x y)))
10.0ms	(/.f64 (+.f64 x y) (-.f64 x y))

simplify69.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4951	1164
1	4951	1164

prune84.0ms

Filtered

83 candidates to 126 candidates (-51.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	125	1	126
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	125	4	129

Merged error: 0.0b

Counts

129 → 4

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(log.f64 (pow.f64 E.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
0.0b	(/.f64 (+.f64 x y) (-.f64 x y))
0.0b	(pow.f64 E.f64 (/.f64 (+.f64 x y) (-.f64 x y)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

67×	`*-un-lft-identity_binary64`
45×	`add-sqr-sqrt_binary64`
40×	`times-frac_binary64`
27×	`add-cube-cbrt_binary64`
26×	`pow-unpow_binary64`
11×	`distribute-lft-out_binary64`
9×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
8×	`add-exp-log_binary64`
7×	`log-prod_binary64`
6×	`unpow-prod-down_binary64`
5×	`associate-/r*_binary64` `add-cbrt-cube_binary64`
4×	`pow1_binary64` `rem-log-exp_binary64` `associate-/r/_binary64` `associate-/l*_binary64` `pow-exp_binary64`
3×	`add-log-exp_binary64`
2×	`pow-to-exp_binary64` `associate-/l/_binary64` `flip3--_binary64` `sqr-pow_binary64` `e-exp-1_binary64` `div-inv_binary64` `flip--_binary64`
1×	`flip3-+_binary64` `cbrt-undiv_binary64` `pow-pow_binary64` `log-pow_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-exp_binary64` `flip-+_binary64`

Counts

3 → 105

Calls

3 calls:

5.0ms	(log.f64 (pow.f64 E.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
8.0ms	(/.f64 (+.f64 x y) (-.f64 x y))
8.0ms	(pow.f64 E.f64 (/.f64 (+.f64 x y) (-.f64 x y)))

series49.0ms

Counts

3 → 9

Calls

3 calls:

21.0ms	(log.f64 (pow.f64 E.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
10.0ms	(/.f64 (+.f64 x y) (-.f64 x y))
18.0ms	(pow.f64 E.f64 (/.f64 (+.f64 x y) (-.f64 x y)))

simplify64.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4999	1137
1	4999	1137

prune76.0ms

Filtered

71 candidates to 114 candidates (-60.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	114	0	114
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	114	4	118

Merged error: 0.0b

Counts

118 → 4

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 3))
0.0b	(/.f64 (+.f64 x y) (-.f64 x y))
0.0b	(pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 3)

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

150×	`*-un-lft-identity_binary64`
100×	`times-frac_binary64`
98×	`add-sqr-sqrt_binary64`
58×	`cbrt-prod_binary64`
56×	`add-cube-cbrt_binary64`
52×	`unpow-prod-down_binary64` `cube-prod_binary64`
26×	`distribute-lft-out_binary64`
21×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
10×	`associate-/r/_binary64`
8×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`associate-/r*_binary64` `flip3--_binary64` `div-inv_binary64` `flip--_binary64`
4×	`pow1_binary64` `associate-/l*_binary64`
3×	`pow-unpow_binary64` `add-log-exp_binary64`
2×	`associate-/l/_binary64` `cbrt-undiv_binary64` `sqr-pow_binary64` `cube-div_binary64` `rem-cube-cbrt_binary64` `div-exp_binary64` `pow-exp_binary64` `unpow3_binary64` `cube-mult_binary64`
1×	`cbrt-div_binary64` `pow-to-exp_binary64` `flip3-+_binary64` `rem-cbrt-cube_binary64` `pow1/3_binary64` `pow-pow_binary64` `clear-num_binary64` `frac-2neg_binary64` `flip-+_binary64`

Counts

3 → 185

Calls

3 calls:

11.0ms	(cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 3))
8.0ms	(/.f64 (+.f64 x y) (-.f64 x y))
10.0ms	(pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 3)

series48.0ms

Counts

3 → 9

Calls

3 calls:

22.0ms	(cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 3))
10.0ms	(/.f64 (+.f64 x y) (-.f64 x y))
16.0ms	(pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 3)

simplify65.0ms

Algorithm

egg-herbie

Counts

194 → 194

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5492	2496

prune92.0ms

Filtered

86 candidates to 194 candidates (-125.6%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	194	0	194
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	194	4	198

Merged error: 0.0b

Counts

198 → 4

regimes112.0ms

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 (1.0ms)

Iter	Nodes	Cost
0	18	9
1	18	9

end0.0ms

sample282.0ms

Algorithm

intervals

Results

169.0ms

8000×

body

valid

Details

analyze23.0ms

sample11.0ms

simplify46.0ms

prune6.0ms

localize5.0ms

rewrite9.0ms

series10.0ms

simplify49.0ms

prune43.0ms

localize8.0ms

rewrite31.0ms

series36.0ms

simplify69.0ms

prune84.0ms

localize9.0ms

rewrite25.0ms

series49.0ms

simplify64.0ms

prune76.0ms

localize7.0ms

rewrite37.0ms

series48.0ms

simplify65.0ms

prune92.0ms

regimes112.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample282.0ms

Profiling