Details

analyze3.0ms

Algorithm

Search

True	Other	False	Iter
0%	0%	100%	0
0%	0%	100%	1

sample16.0ms

Algorithm

intervals

Results

7.0ms	256×	pre	80	true
5.0ms	256×	body	80	valid

simplify47.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	634	7
1	634	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: 8.4b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

1.0b	(/.f64 x0 (-.f64 1.0 x1))
7.6b	(-.f64 (/.f64 x0 (-.f64 1.0 x1)) x0)

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 51

Calls

2 calls:

6.0ms	(/.f64 x0 (-.f64 1.0 x1))
12.0ms	(-.f64 (/.f64 x0 (-.f64 1.0 x1)) x0)

series16.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(/.f64 x0 (-.f64 1.0 x1))
9.0ms	(-.f64 (/.f64 x0 (-.f64 1.0 x1)) x0)

simplify51.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5110	586

prune54.0ms

Filtered

44 candidates to 57 candidates (-29.5%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	55	2	57
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	56	2	58

Merged error: 6.8b

Counts

58 → 2

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(+.f64 x0 (/.f64 x0 (-.f64 1.0 x1)))
0.5b	(/.f64 (.f64 x0 (-.f64 (/.f64 x0 (.f64 (-.f64 1.0 x1) (-.f64 1.0 x1))) x0)) (+.f64 x0 (/.f64 x0 (-.f64 1.0 x1))))
1.0b	(/.f64 x0 (-.f64 1.0 x1))
6.1b	(-.f64 (/.f64 x0 (*.f64 (-.f64 1.0 x1) (-.f64 1.0 x1))) x0)

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

32×	`*-un-lft-identity_binary64`
28×	`add-sqr-sqrt_binary64`
20×	`times-frac_binary64`
16×	`add-cube-cbrt_binary64`
11×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`associate-/r*_binary64`
8×	`add-log-exp_binary64`
6×	`difference-of-squares_binary64`
5×	`distribute-lft-out--_binary64`
4×	`pow1_binary64` `associate-/r/_binary64` `associate-/l*_binary64`
3×	`flip3--_binary64` `distribute-lft-out_binary64` `cbrt-undiv_binary64` `div-exp_binary64` `flip--_binary64`
2×	`flip3-+_binary64` `associate-/l/_binary64` `associate-*r/_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `flip-+_binary64`
1×	`sub-neg_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `prod-exp_binary64` `+-commutative_binary64` `sum-log_binary64`

Counts

4 → 90

Calls

4 calls:

9.0ms	(+.f64 x0 (/.f64 x0 (-.f64 1.0 x1)))
29.0ms	(/.f64 (.f64 x0 (-.f64 (/.f64 x0 (.f64 (-.f64 1.0 x1) (-.f64 1.0 x1))) x0)) (+.f64 x0 (/.f64 x0 (-.f64 1.0 x1))))
6.0ms	(/.f64 x0 (-.f64 1.0 x1))
15.0ms	(-.f64 (/.f64 x0 (*.f64 (-.f64 1.0 x1) (-.f64 1.0 x1))) x0)

series62.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(+.f64 x0 (/.f64 x0 (-.f64 1.0 x1)))
31.0ms	(/.f64 (.f64 x0 (-.f64 (/.f64 x0 (.f64 (-.f64 1.0 x1) (-.f64 1.0 x1))) x0)) (+.f64 x0 (/.f64 x0 (-.f64 1.0 x1))))
7.0ms	(/.f64 x0 (-.f64 1.0 x1))
16.0ms	(-.f64 (/.f64 x0 (*.f64 (-.f64 1.0 x1) (-.f64 1.0 x1))) x0)

simplify47.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5104	1483

prune106.0ms

Filtered

78 candidates to 102 candidates (-30.8%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	100	2	102
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	102	2	104

Merged error: 5.6b

Counts

104 → 2

localize24.0ms

Local error

Found 4 expressions with local error:

1.0b	(/.f64 x0 (-.f64 1.0 x1))
1.3b	(pow.f64 (-.f64 1.0 x1) 4)
1.3b	(pow.f64 (-.f64 1.0 x1) 6)
4.4b	(-.f64 (/.f64 (pow.f64 x0 3) (pow.f64 (-.f64 1.0 x1) 6)) (pow.f64 x0 3))

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

141×	`add-sqr-sqrt_binary64`
63×	`times-frac_binary64`
58×	`difference-of-squares_binary64`
51×	`unpow-prod-down_binary64`
43×	`sqr-pow_binary64`
32×	`*-un-lft-identity_binary64`
25×	`cube-prod_binary64`
18×	`add-cube-cbrt_binary64`
8×	`add-exp-log_binary64`
7×	`distribute-lft-out--_binary64`
6×	`pow-unpow_binary64` `add-log-exp_binary64` `pow1_binary64` `add-cbrt-cube_binary64`
5×	`associate-/r*_binary64`
3×	`associate-/l*_binary64`
2×	`pow-to-exp_binary64` `flip3--_binary64` `pow-pow_binary64` `associate-/r/_binary64` `flip--_binary64` `pow-exp_binary64`
1×	`sub-neg_binary64` `diff-log_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64`

Counts

4 → 139

Calls

4 calls:

6.0ms	(/.f64 x0 (-.f64 1.0 x1))
5.0ms	(pow.f64 (-.f64 1.0 x1) 4)
5.0ms	(pow.f64 (-.f64 1.0 x1) 6)
71.0ms	(-.f64 (/.f64 (pow.f64 x0 3) (pow.f64 (-.f64 1.0 x1) 6)) (pow.f64 x0 3))

series33.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(/.f64 x0 (-.f64 1.0 x1))
3.0ms	(pow.f64 (-.f64 1.0 x1) 4)
3.0ms	(pow.f64 (-.f64 1.0 x1) 6)
20.0ms	(-.f64 (/.f64 (pow.f64 x0 3) (pow.f64 (-.f64 1.0 x1) 6)) (pow.f64 x0 3))

simplify61.0ms

Algorithm

egg-herbie

Counts

151 → 151

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5152	2499

prune218.0ms

Filtered

91 candidates to 151 candidates (-65.9%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	149	2	151
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	151	2	153

Merged error: 4.0b

Counts

153 → 2

localize38.0ms

Local error

Found 4 expressions with local error:

1.3b	(pow.f64 (-.f64 1.0 x1) 4)
1.3b	(pow.f64 (-.f64 1.0 x1) 6)
1.9b	(pow.f64 (-.f64 1.0 x1) 12)
4.3b	(-.f64 (pow.f64 (/.f64 (pow.f64 x0 3) (pow.f64 (-.f64 1.0 x1) 6)) 3) (pow.f64 (pow.f64 x0 3) 3))

rewrite319.0ms

Algorithm

rewrite-expression-head

Rules

582×	`add-sqr-sqrt_binary64`
457×	`unpow-prod-down_binary64`
362×	`cube-prod_binary64`
283×	`difference-of-squares_binary64`
240×	`times-frac_binary64`
237×	`sqr-pow_binary64`
26×	`*-un-lft-identity_binary64`
10×	`add-cube-cbrt_binary64`
9×	`pow-unpow_binary64`
8×	`distribute-lft-out--_binary64`
7×	`pow1_binary64` `add-exp-log_binary64`
6×	`add-log-exp_binary64`
4×	`add-cbrt-cube_binary64`
3×	`pow-to-exp_binary64` `pow-pow_binary64` `pow-exp_binary64`
1×	`difference-cubes_binary64` `sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `flip--_binary64`

Counts

4 → 354

Calls

4 calls:

5.0ms	(pow.f64 (-.f64 1.0 x1) 4)
5.0ms	(pow.f64 (-.f64 1.0 x1) 6)
5.0ms	(pow.f64 (-.f64 1.0 x1) 12)
267.0ms	(-.f64 (pow.f64 (/.f64 (pow.f64 x0 3) (pow.f64 (-.f64 1.0 x1) 6)) 3) (pow.f64 (pow.f64 x0 3) 3))

series38.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(pow.f64 (-.f64 1.0 x1) 4)
3.0ms	(pow.f64 (-.f64 1.0 x1) 6)
3.0ms	(pow.f64 (-.f64 1.0 x1) 12)
29.0ms	(-.f64 (pow.f64 (/.f64 (pow.f64 x0 3) (pow.f64 (-.f64 1.0 x1) 6)) 3) (pow.f64 (pow.f64 x0 3) 3))

simplify113.0ms

Algorithm

egg-herbie

Counts

366 → 366

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4944	11414
1	4944	11414

prune441.0ms

Filtered

100 candidates to 366 candidates (-266.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	365	1	366
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	366	2	368

Merged error: 3.9b

Counts

368 → 2

regimes60.0ms

Accuracy

100% (0.0b remaining)

Error of 3.9b against oracle of 3.9b and baseline of 5.3b

bsearch11.0ms

Steps

Iters	Range		Point
7	0.000209	0.0186	0.004257901367187499

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	96	144
1	96	144

end0.0ms

sample452.0ms

Algorithm

intervals

Results

210.0ms	8000×	pre	80	true
161.0ms	8000×	body	80	valid

Details

analyze3.0ms

sample16.0ms

simplify47.0ms

prune6.0ms

localize5.0ms

rewrite20.0ms

series16.0ms

simplify51.0ms

prune54.0ms

localize10.0ms

rewrite62.0ms

series62.0ms

simplify47.0ms

prune106.0ms

localize24.0ms

rewrite92.0ms

series33.0ms

simplify61.0ms

prune218.0ms

localize38.0ms

rewrite319.0ms

series38.0ms

simplify113.0ms

prune441.0ms

regimes60.0ms

bsearch11.0ms

simplify3.0ms

end0.0ms

sample452.0ms

Profiling