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

sample17.0ms

Algorithm

intervals

Results

6.0ms	63×	body	640	valid
3.0ms	131×	body	80	valid
3.0ms	46×	body	320	valid
1.0ms	16×	body	160	valid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	72	9
1	72	9

prune3.0ms

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: 15.6b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/.f64 1 (+.f64 x 1))
2.8b	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))

rewrite26.0ms

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`
6×	`add-exp-log_binary64`
5×	`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` `div-exp_binary64`
1×	`flip3-+_binary64` `sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `1-exp_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `inv-pow_binary64` `frac-2neg_binary64` `rec-exp_binary64` `flip--_binary64` `pow-flip_binary64` `flip-+_binary64` `frac-sub_binary64`

Counts

2 → 68

Calls

2 calls:

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

series5.0ms

Counts

2 → 6

Calls

2 calls:

2.0ms	(/.f64 1 (+.f64 x 1))
3.0ms	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))

simplify85.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 0 (78.0ms)

Iter	Nodes	Cost
0	4839	787
1	4839	787

prune37.0ms

Filtered

45 candidates to 74 candidates (-64.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	73	1	74
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	73	2	75

Merged error: 0.6b

Counts

75 → 2

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b	(*.f64 x (+.f64 1 x))
0.6b	(/.f64 -1 (*.f64 x (+.f64 1 x)))

rewrite16.0ms

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))
7.0ms	(/.f64 -1 (*.f64 x (+.f64 1 x)))

series8.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(*.f64 x (+.f64 1 x))
3.0ms	(/.f64 -1 (*.f64 x (+.f64 1 x)))

simplify53.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4967	376
1	4967	376

prune34.0ms

Filtered

38 candidates to 52 candidates (-36.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	48	4	52
Fresh	0	0	0
Picked	0	1	1
Done	1	0	1
Total	49	5	54

Merged error: 0.0b

Counts

54 → 5

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite13.0ms

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))

series3.0ms

Counts

1 → 3

Calls

1 calls:

3.0ms

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

simplify63.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4915	1214
1	4915	1214

prune49.0ms

Filtered

64 candidates to 89 candidates (-39.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	88	1	89
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	89	5	94

Merged error: 0b

Counts

94 → 5

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(-.f64 x (pow.f64 x 3))
0.3b	(/.f64 -1 (-.f64 x (pow.f64 x 3)))
5.2b	(*.f64 (/.f64 -1 (-.f64 x (pow.f64 x 3))) (-.f64 1 x))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

95×	`add-sqr-sqrt_binary64`
58×	`*-un-lft-identity_binary64`
55×	`times-frac_binary64`
34×	`difference-of-squares_binary64`
33×	`associate-l_binary64`
31×	`add-cube-cbrt_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`associate-/r*_binary64` `distribute-lft-out--_binary64`
8×	`distribute-rgt-out--_binary64` `sqr-pow_binary64` `unpow-prod-down_binary64` `cube-prod_binary64` `unpow3_binary64`
6×	`associate-r_binary64`
5×	`add-log-exp_binary64` `pow1_binary64` `flip3--_binary64` `flip--_binary64`
4×	`associate-/r/_binary64`
3×	`sub-neg_binary64` `associate-/l*_binary64`
2×	`cbrt-unprod_binary64` `cbrt-undiv_binary64` `associate-*r/_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `div-inv_binary64` `div-exp_binary64` `frac-times_binary64`
1×	`pow-prod-down_binary64` `diff-log_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-l/_binary64` `-commutative_binary64`

Counts

3 → 131

Calls

3 calls:

6.0ms	(-.f64 x (pow.f64 x 3))
9.0ms	(/.f64 -1 (-.f64 x (pow.f64 x 3)))
18.0ms	(*.f64 (/.f64 -1 (-.f64 x (pow.f64 x 3))) (-.f64 1 x))

series15.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(-.f64 x (pow.f64 x 3))
4.0ms	(/.f64 -1 (-.f64 x (pow.f64 x 3)))
4.0ms	(*.f64 (/.f64 -1 (-.f64 x (pow.f64 x 3))) (-.f64 1 x))

simplify64.0ms

Algorithm

egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4936	1625
1	4936	1625

prune80.0ms

Filtered

101 candidates to 140 candidates (-38.6%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	140	0	140
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	140	5	145

Merged error: 0b

Counts

145 → 5

regimes19.0ms

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	7
1	8	7

end0.0ms

sample484.0ms

Algorithm

intervals

Results

177.0ms	1962×	body	640	valid
102.0ms	4161×	body	80	valid
87.0ms	1270×	body	320	valid
27.0ms	607×	body	160	valid
0.0ms	1×	body	80	invalid

Details

analyze5.0ms

sample17.0ms

simplify7.0ms

prune3.0ms

localize5.0ms

rewrite26.0ms

series5.0ms

simplify85.0ms

prune37.0ms

localize4.0ms

rewrite16.0ms

series8.0ms

simplify53.0ms

prune34.0ms

localize4.0ms

rewrite13.0ms

series3.0ms

simplify63.0ms

prune49.0ms

localize7.0ms

rewrite41.0ms

series15.0ms

simplify64.0ms

prune80.0ms

regimes19.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample484.0ms

Profiling