Details

analyze3.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
50%	50%	0%	2
50%	50%	0%	3
87.5%	12.5%	0%	4
93.7%	6.2%	0%	5
96.8%	3.1%	0%	6
98.4%	1.6%	0%	7
99.2%	0.8%	0%	8
99.6%	0.4%	0%	9
99.8%	0.2%	0%	10
99.9%	0.1%	0%	11
99.9%	0%	0%	12
99.9%	0%	0%	13
99.9%	0%	0%	14

sample10.0ms

Algorithm

intervals

Results

5.0ms

256×

body

valid

simplify47.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	781	7
1	781	7

prune2.0ms

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

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b	(/.f64 (+.f64 x 1.0) (-.f64 1.0 x))

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 1.0) (-.f64 1.0 x))

series4.0ms

Counts

1 → 3

Calls

1 calls:

4.0ms

(/.f64 (+.f64 x 1.0) (-.f64 1.0 x))

simplify48.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5434	556

prune62.0ms

Filtered

32 candidates to 48 candidates (-50.0%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	43	5	48
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	44	5	49

Merged error: 0b

Counts

49 → 5

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(exp.f64 (/.f64 (+.f64 x 1.0) (-.f64 1.0 x)))
0.0b	(log.f64 (exp.f64 (/.f64 (+.f64 x 1.0) (-.f64 1.0 x))))
0.0b	(/.f64 (+.f64 x 1.0) (-.f64 1.0 x))

rewrite32.0ms

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:

9.0ms	(exp.f64 (/.f64 (+.f64 x 1.0) (-.f64 1.0 x)))
10.0ms	(log.f64 (exp.f64 (/.f64 (+.f64 x 1.0) (-.f64 1.0 x))))
8.0ms	(/.f64 (+.f64 x 1.0) (-.f64 1.0 x))

series13.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(exp.f64 (/.f64 (+.f64 x 1.0) (-.f64 1.0 x)))
4.0ms	(log.f64 (exp.f64 (/.f64 (+.f64 x 1.0) (-.f64 1.0 x))))
3.0ms	(/.f64 (+.f64 x 1.0) (-.f64 1.0 x))

simplify56.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5415	1251

prune113.0ms

Filtered

85 candidates to 126 candidates (-48.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	126	0	126
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	126	5	131

Merged error: 0b

Counts

131 → 5

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 1.0 x) (+.f64 x 1.0))
0.0b	(/.f64 1 (/.f64 (-.f64 1.0 x) (+.f64 x 1.0)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

178×	`times-frac_binary64`
174×	`*-un-lft-identity_binary64`
122×	`add-sqr-sqrt_binary64`
80×	`add-cube-cbrt_binary64`
30×	`associate-/r*_binary64`
26×	`distribute-lft-out_binary64`
21×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
15×	`add-exp-log_binary64`
11×	`associate-/r/_binary64`
9×	`add-cbrt-cube_binary64`
8×	`associate-/l*_binary64` `div-exp_binary64`
6×	`div-inv_binary64`
5×	`flip3-+_binary64` `flip-+_binary64`
4×	`cbrt-undiv_binary64`
3×	`pow1_binary64`
2×	`associate-/l/_binary64` `add-log-exp_binary64` `1-exp_binary64` `clear-num_binary64` `frac-2neg_binary64` `rec-exp_binary64`
1×	`flip3--_binary64` `div-sub_binary64` `inv-pow_binary64` `flip--_binary64` `pow-flip_binary64`

Counts

2 → 174

Calls

2 calls:

8.0ms	(/.f64 (-.f64 1.0 x) (+.f64 x 1.0))
11.0ms	(/.f64 1 (/.f64 (-.f64 1.0 x) (+.f64 x 1.0)))

series7.0ms

Counts

2 → 6

Calls

2 calls:

3.0ms	(/.f64 (-.f64 1.0 x) (+.f64 x 1.0))
3.0ms	(/.f64 1 (/.f64 (-.f64 1.0 x) (+.f64 x 1.0)))

simplify68.0ms

Algorithm

egg-herbie

Counts

180 → 180

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5788	2481

prune130.0ms

Filtered

99 candidates to 180 candidates (-81.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	180	0	180
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	180	5	185

Merged error: 0b

Counts

185 → 5

localize8.0ms

Local error

Found 4 expressions with local error:

0.2b	(*.f64 (cbrt.f64 (-.f64 1.0 x)) (cbrt.f64 (-.f64 1.0 x)))
0.3b	(cbrt.f64 (-.f64 1.0 x))
0.3b	(cbrt.f64 (-.f64 1.0 x))
0.3b	(cbrt.f64 (-.f64 1.0 x))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod_binary64`
37×	`add-sqr-sqrt_binary64`
35×	`*-un-lft-identity_binary64`
18×	`cbrt-div_binary64`
15×	`add-cube-cbrt_binary64`
11×	`pow1_binary64`
10×	`swap-sqr_binary64`
9×	`flip3--_binary64` `pow1/3_binary64` `distribute-lft-out--_binary64` `flip--_binary64`
8×	`associate-r_binary64` `associate-l_binary64`
7×	`difference-of-squares_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 → 101

Calls

4 calls:

11.0ms	(*.f64 (cbrt.f64 (-.f64 1.0 x)) (cbrt.f64 (-.f64 1.0 x)))
3.0ms	(cbrt.f64 (-.f64 1.0 x))
3.0ms	(cbrt.f64 (-.f64 1.0 x))
4.0ms	(cbrt.f64 (-.f64 1.0 x))

series221.0ms

Counts

4 → 12

Calls

4 calls:

199.0ms	(*.f64 (cbrt.f64 (-.f64 1.0 x)) (cbrt.f64 (-.f64 1.0 x)))
7.0ms	(cbrt.f64 (-.f64 1.0 x))
7.0ms	(cbrt.f64 (-.f64 1.0 x))
7.0ms	(cbrt.f64 (-.f64 1.0 x))

simplify66.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4914	1193
1	4914	1193

prune127.0ms

Filtered

86 candidates to 113 candidates (-31.4%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	113	5	118

Merged error: 0b

Counts

118 → 5

regimes61.0ms

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

sample238.0ms

Algorithm

intervals

Results

157.0ms

8000×

body

valid

Details

analyze3.0ms

sample10.0ms

simplify47.0ms

prune2.0ms

localize4.0ms

rewrite9.0ms

series4.0ms

simplify48.0ms

prune62.0ms

localize8.0ms

rewrite32.0ms

series13.0ms

simplify56.0ms

prune113.0ms

localize5.0ms

rewrite28.0ms

series7.0ms

simplify68.0ms

prune130.0ms

localize8.0ms

rewrite24.0ms

series221.0ms

simplify66.0ms

prune127.0ms

regimes61.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample238.0ms

Profiling