Details

analyze4.0ms

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

sample22.0ms

Algorithm

intervals

Results

6.0ms	71×	body	640	valid
3.0ms	128×	body	80	valid
3.0ms	38×	body	320	valid
1.0ms	19×	body	160	valid

simplify144.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (7.0ms)

Iter	Nodes	Cost
0	73	13
1	73	13

prune10.0ms

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: 16.0b

Counts

2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/.f64 1 (+.f64 x 1))
3.7b	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

48×	`*-un-lft-identity_binary64_574`
39×	`add-sqr-sqrt_binary64_559`
36×	`times-frac_binary64_569`
15×	`add-cube-cbrt_binary64_545`
10×	`distribute-lft-out--_binary64_619`
9×	`difference-of-squares_binary64_603`
7×	`distribute-lft-out_binary64_618`
5×	`div-inv_binary64_575` `add-exp-log_binary64_538`
4×	`add-cbrt-cube_binary64_546` `associate-/r*_binary64_637` `add-log-exp_binary64_539`
3×	`pow1_binary64_520` `associate-/l*_binary64_638`
2×	`associate-/r/_binary64_639`
1×	`flip3--_binary64_573` `frac-sub_binary64_565` `inv-pow_binary64_496` `pow-flip_binary64_504` `div-exp_binary64_527` `flip3-+_binary64_572` `frac-2neg_binary64_567` `rec-exp_binary64_526` `flip-+_binary64_599` `diff-log_binary64_490` `clear-num_binary64_577` `sub-neg_binary64_578` `flip--_binary64_600` `cbrt-undiv_binary64_544`

Counts

2 → 67

Calls

2 calls:

6.0ms	(/.f64 1 (+.f64 x 1))
18.0ms	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))

series21.0ms

Counts

2 → 6

Calls

2 calls:

9.0ms	(/.f64 1 (+.f64 x 1))
12.0ms	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))

simplify110.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (93.0ms)

Iter	Nodes	Cost
0	5047	1176

prune209.0ms

Filtered

45 candidates to 73 candidates (-62.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	70	3	73
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	70	4	74

Merged error: 0.0b

Counts

74 → 4

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(*.f64 x (+.f64 1 x))
0.4b	(/.f64 -1 (*.f64 x (+.f64 1 x)))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-cbrt-cube_binary64_546` `add-exp-log_binary64_538`
8×	`*-un-lft-identity_binary64_574` `add-sqr-sqrt_binary64_559`
6×	`add-cube-cbrt_binary64_545`
4×	`pow1_binary64_520` `associate-r_binary64_633` `associate-*r/_binary64_635`
3×	`associate-l_binary64_634` `associate-/l*_binary64_638` `times-frac_binary64_569`
2×	`associate-/r/_binary64_639` `div-exp_binary64_527` `flip3-+_binary64_572` `flip-+_binary64_599` `cbrt-unprod_binary64_543` `cbrt-undiv_binary64_544` `add-log-exp_binary64_539` `prod-exp_binary64_525`
1×	`div-inv_binary64_575` `unswap-sqr_binary64_602` `frac-2neg_binary64_567` `clear-num_binary64_577` `distribute-lft-in_binary64_616` `associate-/r_binary64_637` `distribute-rgt-in_binary64_617` `distribute-lft-out_binary64_618` `-commutative_binary64_642` `pow-prod-down_binary64_501`

Counts

2 → 46

Calls

2 calls:

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

series42.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(*.f64 x (+.f64 1 x))
12.0ms	(/.f64 -1 (*.f64 x (+.f64 1 x)))

simplify62.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5009	560

prune182.0ms

Filtered

37 candidates to 52 candidates (-40.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	48	4	52
Fresh	2	0	2
Picked	0	1	1
Done	1	0	1
Total	51	5	56

Merged error: 0.0b

Counts

56 → 5

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

97×	`times-frac_binary64_569`
78×	`*-un-lft-identity_binary64_574`
50×	`add-cube-cbrt_binary64_545` `add-sqr-sqrt_binary64_559`
14×	`distribute-lft-out_binary64_618`
13×	`associate-/l*_binary64_638`
6×	`add-cbrt-cube_binary64_546` `div-inv_binary64_575` `add-exp-log_binary64_538`
4×	`associate-/r*_binary64_637`
3×	`div-exp_binary64_527` `cbrt-undiv_binary64_544`
2×	`associate-/r/_binary64_639`
1×	`pow1_binary64_520` `associate-/l/_binary64_640` `flip3-+_binary64_572` `frac-2neg_binary64_567` `flip-+_binary64_599` `clear-num_binary64_577` `add-log-exp_binary64_539`

Counts

1 → 86

Calls

1 calls:

8.0ms

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

series11.0ms

Counts

1 → 3

Calls

1 calls:

11.0ms

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

simplify81.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5048	1866

prune256.0ms

Filtered

61 candidates to 89 candidates (-45.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	87	2	89
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	88	6	94

Merged error: 0b

Counts

94 → 6

localize22.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 x)
0.5b	(cbrt.f64 x)
0.5b	(cbrt.f64 x)
0.5b	(*.f64 (cbrt.f64 x) (cbrt.f64 x))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_541`
23×	`add-sqr-sqrt_binary64_559`
15×	`*-un-lft-identity_binary64_574` `add-cube-cbrt_binary64_545`
11×	`pow1_binary64_520`
9×	`pow1/3_binary64_512`
6×	`associate-l_binary64_634` `swap-sqr_binary64_601` `associate-r_binary64_633` `add-exp-log_binary64_538`
4×	`add-cbrt-cube_binary64_546` `unswap-sqr_binary64_602` `add-log-exp_binary64_539`
2×	`pow-prod-up_binary64_500` `pow-sqr_binary64_607` `pow-prod-down_binary64_501`
1×	`pow-plus_binary64_515` `pow2_binary64_511` `cbrt-unprod_binary64_543` `*-commutative_binary64_642` `prod-exp_binary64_525`

Counts

4 → 73

Calls

4 calls:

1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
5.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))

series350.0ms

Counts

4 → 12

Calls

4 calls:

81.0ms	(cbrt.f64 x)
81.0ms	(cbrt.f64 x)
86.0ms	(cbrt.f64 x)
101.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))

simplify73.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5309	608

prune262.0ms

Filtered

65 candidates to 85 candidates (-30.8%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	85	6	91

Merged error: 0b

Counts

91 → 6

regimes77.0ms

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 (1.0ms)

Iter	Nodes	Cost
0	8	10
1	8	10

end0.0ms

sample531.0ms

Algorithm

intervals

Results

173.0ms	1930×	body	640	valid
116.0ms	4231×	body	80	valid
85.0ms	1208×	body	320	valid
32.0ms	631×	body	160	valid

Details

analyze4.0ms

sample22.0ms

simplify144.0ms

prune10.0ms

localize8.0ms

rewrite29.0ms

series21.0ms

simplify110.0ms

prune209.0ms

localize6.0ms

rewrite13.0ms

series42.0ms

simplify62.0ms

prune182.0ms

localize6.0ms

rewrite12.0ms

series11.0ms

simplify81.0ms

prune256.0ms

localize22.0ms

rewrite10.0ms

series350.0ms

simplify73.0ms

prune262.0ms

regimes77.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample531.0ms

Profiling