Details

analyze5.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
62.5%	37.5%	0%	4
81.2%	18.7%	0%	5
90.6%	9.4%	0%	6
95.3%	4.7%	0%	7
97.6%	2.3%	0%	8
98.8%	1.2%	0%	9
99.4%	0.6%	0%	10
99.7%	0.3%	0%	11
99.8%	0.1%	0%	12
99.9%	0.1%	0%	13
99.9%	0%	0%	14

sample16.0ms

Algorithm

intervals

Results

5.0ms	76×	body	512	valid
4.0ms	147×	body	128	valid
1.0ms	28×	body	256	valid
0.0ms	5×	body	1024	valid
0.0ms	1×	body	128	invalid

simplify10.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	73	13
1	73	13

prune2.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 15.4b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/.f64 1 (+.f64 x 1))
2.6b	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

48×	`*-un-lft-identity_binary64`
39×	`add-sqr-sqrt_binary64`
36×	`times-frac_binary64`
15×	`add-cube-cbrt_binary64`
10×	`distribute-lft-out--_binary64`
9×	`difference-of-squares_binary64`
7×	`distribute-lft-out_binary64`
5×	`add-exp-log_binary64` `div-inv_binary64`
4×	`associate-/r*_binary64` `add-log-exp_binary64` `add-cbrt-cube_binary64`
3×	`pow1_binary64` `associate-/l*_binary64`
2×	`associate-/r/_binary64`
1×	`flip3-+_binary64` `sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `inv-pow_binary64` `frac-2neg_binary64` `rec-exp_binary64` `div-exp_binary64` `flip--_binary64` `pow-flip_binary64` `flip-+_binary64` `frac-sub_binary64`

Counts

2 → 67

Calls

2 calls:

6.0ms	(/.f64 1 (+.f64 x 1))
20.0ms	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))

series50.0ms

Counts

2 → 6

Calls

2 calls:

17.0ms	(/.f64 1 (+.f64 x 1))
33.0ms	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))

simplify90.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	4845	1170
1	4845	1170

prune47.0ms

Filtered

45 candidates to 73 candidates (-62.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	71	2	73
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	71	3	74

Merged error: 0.2b

Counts

74 → 3

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b	(*.f64 x (+.f64 1 x))
0.2b	(/.f64 -1 (*.f64 x (+.f64 1 x)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
6×	`add-cube-cbrt_binary64`
4×	`pow1_binary64` `associate-r_binary64` `associate-*r/_binary64`
3×	`associate-l_binary64` `associate-/l*_binary64` `times-frac_binary64`
2×	`flip3-+_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `associate-/r/_binary64` `prod-exp_binary64` `div-exp_binary64` `flip-+_binary64`
1×	`pow-prod-down_binary64` `associate-/r_binary64` `distribute-lft-out_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `-commutative_binary64`

Counts

2 → 46

Calls

2 calls:

6.0ms	(*.f64 x (+.f64 1 x))
6.0ms	(/.f64 -1 (*.f64 x (+.f64 1 x)))

series89.0ms

Counts

2 → 6

Calls

2 calls:

65.0ms	(*.f64 x (+.f64 1 x))
24.0ms	(/.f64 -1 (*.f64 x (+.f64 1 x)))

simplify54.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5886	553

prune38.0ms

Filtered

38 candidates to 52 candidates (-36.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	49	3	52
Fresh	1	0	1
Picked	0	1	1
Done	1	0	1
Total	51	4	55

Merged error: 0b

Counts

55 → 4

localize4.0ms

Local error

Found 1 expressions with local error:

0.1b	(/.f64 (/.f64 -1 x) (+.f64 1 x))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

97×	`times-frac_binary64`
78×	`*-un-lft-identity_binary64`
50×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
14×	`distribute-lft-out_binary64`
13×	`associate-/l*_binary64`
6×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `div-inv_binary64`
4×	`associate-/r*_binary64`
3×	`cbrt-undiv_binary64` `div-exp_binary64`
2×	`associate-/r/_binary64`
1×	`flip3-+_binary64` `associate-/l/_binary64` `add-log-exp_binary64` `pow1_binary64` `clear-num_binary64` `frac-2neg_binary64` `flip-+_binary64`

Counts

1 → 86

Calls

1 calls:

9.0ms

(/.f64 (/.f64 -1 x) (+.f64 1 x))

series28.0ms

Counts

1 → 3

Calls

1 calls:

27.0ms

(/.f64 (/.f64 -1 x) (+.f64 1 x))

simplify80.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4919	1866
1	4919	1866

prune64.0ms

Filtered

64 candidates to 89 candidates (-39.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	89	0	89
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	89	4	93

Merged error: 0b

Counts

93 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

0.4b	(.f64 (cbrt.f64 (.f64 x (+.f64 x 1))) (cbrt.f64 (*.f64 x (+.f64 x 1))))
16.7b	(cbrt.f64 (*.f64 x (+.f64 x 1)))
16.7b	(cbrt.f64 (*.f64 x (+.f64 x 1)))
16.7b	(cbrt.f64 (*.f64 x (+.f64 x 1)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-*r/_binary64`
18×	`cbrt-div_binary64`
11×	`pow1_binary64`
10×	`add-sqr-sqrt_binary64`
9×	`flip3-+_binary64` `pow1/3_binary64` `flip-+_binary64`
8×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
7×	`cbrt-prod_binary64`
6×	`add-exp-log_binary64`
4×	`add-log-exp_binary64` `swap-sqr_binary64` `associate-r_binary64` `add-cbrt-cube_binary64` `associate-l_binary64` `frac-times_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64` `associate-*l/_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 72

Calls

4 calls:

7.0ms	(.f64 (cbrt.f64 (.f64 x (+.f64 x 1))) (cbrt.f64 (*.f64 x (+.f64 x 1))))
5.0ms	(cbrt.f64 (*.f64 x (+.f64 x 1)))
5.0ms	(cbrt.f64 (*.f64 x (+.f64 x 1)))
5.0ms	(cbrt.f64 (*.f64 x (+.f64 x 1)))

series280.0ms

Counts

4 → 12

Calls

4 calls:

82.0ms	(.f64 (cbrt.f64 (.f64 x (+.f64 x 1))) (cbrt.f64 (*.f64 x (+.f64 x 1))))
63.0ms	(cbrt.f64 (*.f64 x (+.f64 x 1)))
62.0ms	(cbrt.f64 (*.f64 x (+.f64 x 1)))
72.0ms	(cbrt.f64 (*.f64 x (+.f64 x 1)))

simplify95.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	4887	1373
1	4887	1373

prune94.0ms

Filtered

67 candidates to 84 candidates (-25.4%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	84	4	88

Merged error: 0b

Counts

88 → 4

regimes12.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	8	10

end0.0ms

sample455.0ms

Algorithm

intervals

Results

141.0ms	1975×	body	512	valid
125.0ms	4590×	body	128	valid
48.0ms	983×	body	256	valid
43.0ms	452×	body	1024	valid
0.0ms	1×	body	128	invalid

Details

analyze5.0ms

sample16.0ms

simplify10.0ms

prune2.0ms

localize5.0ms

rewrite31.0ms

series50.0ms

simplify90.0ms

prune47.0ms

localize4.0ms

rewrite15.0ms

series89.0ms

simplify54.0ms

prune38.0ms

localize4.0ms

rewrite17.0ms

series28.0ms

simplify80.0ms

prune64.0ms

localize8.0ms

rewrite29.0ms

series280.0ms

simplify95.0ms

prune94.0ms

regimes12.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample455.0ms

Profiling