Details

analyze231.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
25%	74.9%	0.1%	4
25%	74.9%	0.1%	5
37.4%	62.4%	0.1%	6
46.8%	53%	0.1%	7
52.3%	47.6%	0.1%	8
65.5%	34.3%	0.1%	9
71%	28.9%	0.1%	10
75%	24.9%	0.1%	11
81.6%	18.2%	0.1%	12
84.5%	15.4%	0.1%	13
86.9%	13%	0.1%	14

sample27.0ms

Algorithm

intervals

Results

11.0ms

256×

body

valid

simplify317.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (174.0ms)

Iter	Nodes	Cost
0	4764	18
1	4764	18

prune7.0ms

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: 4.3b

Counts

2 → 1

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b

(*.f64 5081767996463981/4503599627370496 (exp.f64 z))

0.4b

(-.f64 (*.f64 5081767996463981/4503599627370496 (exp.f64 z)) (*.f64 x y))

8.3b

(/.f64 y (-.f64 (*.f64 5081767996463981/4503599627370496 (exp.f64 z)) (*.f64 x y)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt_binary64_5053`
13×	`*-un-lft-identity_binary64_5068` `add-cube-cbrt_binary64_5039`
9×	`times-frac_binary64_5063`
7×	`add-cbrt-cube_binary64_5040`
6×	`add-exp-log_binary64_5032`
5×	`add-log-exp_binary64_5033` `pow1_binary64_5014`
3×	`associate-/l_binary64_5132` `associate-/r_binary64_5131` `associate-l_binary64_5128` `associate-r_binary64_5127`
2×	`associate-/r/_binary64_5133` `flip3--_binary64_5067` `flip--_binary64_5094`
1×	`pow-prod-down_binary64_4995` `cbrt-undiv_binary64_5038` `diff-log_binary64_4984` `frac-2neg_binary64_5061` `clear-num_binary64_5071` `prod-exp_binary64_5019` `unswap-sqr_binary64_5096` `cbrt-unprod_binary64_5037` `div-exp_binary64_5021` `sub-neg_binary64_5072` `div-inv_binary64_5069` `*-commutative_binary64_5136`

Counts

3 → 58

Calls

3 calls:

5.0ms

(*.f64 5081767996463981/4503599627370496 (exp.f64 z))

5.0ms

(-.f64 (*.f64 5081767996463981/4503599627370496 (exp.f64 z)) (*.f64 x y))

8.0ms

(/.f64 y (-.f64 (*.f64 5081767996463981/4503599627370496 (exp.f64 z)) (*.f64 x y)))

series154.0ms

Counts

3 → 9

Calls

3 calls:

11.0ms

(*.f64 5081767996463981/4503599627370496 (exp.f64 z))

53.0ms

(-.f64 (*.f64 5081767996463981/4503599627370496 (exp.f64 z)) (*.f64 x y))

91.0ms

(/.f64 y (-.f64 (*.f64 5081767996463981/4503599627370496 (exp.f64 z)) (*.f64 x y)))

simplify53.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5007	1190

prune274.0ms

Filtered

53 candidates to 67 candidates (-26.4%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	64	3	67
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	65	3	68

Merged error: 0b

Counts

68 → 3

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(*.f64 5081767996463981/4503599627370496 (exp.f64 z))
0.1b	(/.f64 1 (/.f64 (-.f64 (.f64 5081767996463981/4503599627370496 (exp.f64 z)) (.f64 y x)) y))
0.4b	(-.f64 (.f64 5081767996463981/4503599627370496 (exp.f64 z)) (.f64 y x))
8.2b	(/.f64 (-.f64 (.f64 5081767996463981/4503599627370496 (exp.f64 z)) (.f64 y x)) y)

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac_binary64_5063`
58×	`add-sqr-sqrt_binary64_5053`
56×	`*-un-lft-identity_binary64_5068` `add-cube-cbrt_binary64_5039`
16×	`associate-/r*_binary64_5131`
15×	`add-exp-log_binary64_5032`
13×	`add-cbrt-cube_binary64_5040`
7×	`pow1_binary64_5014`
6×	`associate-/l*_binary64_5132` `add-log-exp_binary64_5033` `div-inv_binary64_5069`
5×	`div-exp_binary64_5021`
4×	`cbrt-undiv_binary64_5038`
3×	`associate-l_binary64_5128` `associate-r_binary64_5127`
2×	`associate-/l/_binary64_5134` `frac-2neg_binary64_5061` `clear-num_binary64_5071` `rec-exp_binary64_5020` `flip3--_binary64_5067` `flip--_binary64_5094`
1×	`pow-prod-down_binary64_4995` `diff-log_binary64_4984` `div-sub_binary64_5062` `pow-flip_binary64_4998` `associate-/r/_binary64_5133` `prod-exp_binary64_5019` `unswap-sqr_binary64_5096` `inv-pow_binary64_4990` `cbrt-unprod_binary64_5037` `sub-neg_binary64_5072` `*-commutative_binary64_5136`

Counts

4 → 133

Calls

4 calls:

5.0ms	(*.f64 5081767996463981/4503599627370496 (exp.f64 z))
8.0ms	(/.f64 1 (/.f64 (-.f64 (.f64 5081767996463981/4503599627370496 (exp.f64 z)) (.f64 y x)) y))
5.0ms	(-.f64 (.f64 5081767996463981/4503599627370496 (exp.f64 z)) (.f64 y x))
7.0ms	(/.f64 (-.f64 (.f64 5081767996463981/4503599627370496 (exp.f64 z)) (.f64 y x)) y)

series240.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(*.f64 5081767996463981/4503599627370496 (exp.f64 z))
103.0ms	(/.f64 1 (/.f64 (-.f64 (.f64 5081767996463981/4503599627370496 (exp.f64 z)) (.f64 y x)) y))
50.0ms	(-.f64 (.f64 5081767996463981/4503599627370496 (exp.f64 z)) (.f64 y x))
74.0ms	(/.f64 (-.f64 (.f64 5081767996463981/4503599627370496 (exp.f64 z)) (.f64 y x)) y)

simplify89.0ms

Algorithm

egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4967	3452
1	4967	3452

prune478.0ms

Filtered

100 candidates to 145 candidates (-45.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	144	1	145
Fresh	1	1	2
Picked	1	0	1
Done	0	0	0
Total	146	2	148

Merged error: 0b

Counts

148 → 2

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (*.f64 5081767996463981/4503599627370496 (exp.f64 z)) y)
0.0b	(-.f64 (/.f64 (*.f64 5081767996463981/4503599627370496 (exp.f64 z)) y) x)
0.0b	(*.f64 5081767996463981/4503599627370496 (exp.f64 z))
0.1b	(/.f64 1 (-.f64 (/.f64 (*.f64 5081767996463981/4503599627370496 (exp.f64 z)) y) x))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-sqr-sqrt_binary64_5053`
28×	`*-un-lft-identity_binary64_5068`
18×	`times-frac_binary64_5063` `add-cube-cbrt_binary64_5039`
13×	`add-cbrt-cube_binary64_5040`
12×	`add-exp-log_binary64_5032`
8×	`associate-/r*_binary64_5131`
7×	`pow1_binary64_5014`
6×	`add-log-exp_binary64_5033`
5×	`distribute-lft-out--_binary64_5113` `difference-of-squares_binary64_5097`
4×	`associate-/l*_binary64_5132`
3×	`cbrt-undiv_binary64_5038` `associate-l_binary64_5128` `associate-r_binary64_5127` `div-exp_binary64_5021`
2×	`frac-2neg_binary64_5061` `clear-num_binary64_5071` `associate-/r/_binary64_5133` `prod-exp_binary64_5019` `flip3--_binary64_5067` `flip--_binary64_5094` `cbrt-unprod_binary64_5037` `div-inv_binary64_5069`
1×	`pow-prod-down_binary64_4995` `diff-log_binary64_4984` `pow-flip_binary64_4998` `rec-exp_binary64_5020` `unswap-sqr_binary64_5096` `inv-pow_binary64_4990` `sub-neg_binary64_5072` `*-commutative_binary64_5136`

Counts

4 → 92

Calls

4 calls:

7.0ms	(/.f64 (*.f64 5081767996463981/4503599627370496 (exp.f64 z)) y)
12.0ms	(-.f64 (/.f64 (*.f64 5081767996463981/4503599627370496 (exp.f64 z)) y) x)
5.0ms	(*.f64 5081767996463981/4503599627370496 (exp.f64 z))
10.0ms	(/.f64 1 (-.f64 (/.f64 (*.f64 5081767996463981/4503599627370496 (exp.f64 z)) y) x))

series161.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(/.f64 (*.f64 5081767996463981/4503599627370496 (exp.f64 z)) y)
43.0ms	(-.f64 (/.f64 (*.f64 5081767996463981/4503599627370496 (exp.f64 z)) y) x)
11.0ms	(*.f64 5081767996463981/4503599627370496 (exp.f64 z))
86.0ms	(/.f64 1 (-.f64 (/.f64 (*.f64 5081767996463981/4503599627370496 (exp.f64 z)) y) x))

simplify90.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	5078	1708

prune346.0ms

Filtered

68 candidates to 104 candidates (-52.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	104	0	104
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	104	2	106

Merged error: 0b

Counts

106 → 2

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (/.f64 y (+.f64 5081767996463981/4503599627370496 (.f64 z (+.f64 5081767996463981/4503599627370496 (.f64 z 5081767996463981/9007199254740992))))))
0.0b	(+.f64 5081767996463981/4503599627370496 (*.f64 z 5081767996463981/9007199254740992))
0.1b	(.f64 z (+.f64 5081767996463981/4503599627370496 (.f64 z 5081767996463981/9007199254740992)))
3.1b	(/.f64 y (+.f64 5081767996463981/4503599627370496 (.f64 z (+.f64 5081767996463981/4503599627370496 (.f64 z 5081767996463981/9007199254740992)))))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

16×	`*-un-lft-identity_binary64_5068` `add-sqr-sqrt_binary64_5053`
14×	`add-cube-cbrt_binary64_5039`
9×	`times-frac_binary64_5063`
8×	`add-cbrt-cube_binary64_5040` `add-log-exp_binary64_5033` `add-exp-log_binary64_5032`
6×	`pow1_binary64_5014`
4×	`flip3-+_binary64_5066` `flip-+_binary64_5093`
3×	`associate-/l_binary64_5132` `associate-/r_binary64_5131` `associate-l_binary64_5128` `associate-r_binary64_5127`
2×	`associate-/r/_binary64_5133` `associate-*r/_binary64_5129` `sum-log_binary64_4983` `+-commutative_binary64_5135`
1×	`pow-prod-down_binary64_4995` `cbrt-undiv_binary64_5038` `distribute-lft-in_binary64_5110` `frac-2neg_binary64_5061` `distribute-lft-out_binary64_5112` `clear-num_binary64_5071` `prod-exp_binary64_5019` `unswap-sqr_binary64_5096` `distribute-rgt-in_binary64_5111` `cbrt-unprod_binary64_5037` `div-exp_binary64_5021` `div-inv_binary64_5069` `*-commutative_binary64_5136`

Counts

4 → 74

Calls

4 calls:

7.0ms	(+.f64 x (/.f64 y (+.f64 5081767996463981/4503599627370496 (.f64 z (+.f64 5081767996463981/4503599627370496 (.f64 z 5081767996463981/9007199254740992))))))
3.0ms	(+.f64 5081767996463981/4503599627370496 (*.f64 z 5081767996463981/9007199254740992))
6.0ms	(.f64 z (+.f64 5081767996463981/4503599627370496 (.f64 z 5081767996463981/9007199254740992)))
5.0ms	(/.f64 y (+.f64 5081767996463981/4503599627370496 (.f64 z (+.f64 5081767996463981/4503599627370496 (.f64 z 5081767996463981/9007199254740992)))))

series226.0ms

Counts

4 → 12

Calls

4 calls:

95.0ms	(+.f64 x (/.f64 y (+.f64 5081767996463981/4503599627370496 (.f64 z (+.f64 5081767996463981/4503599627370496 (.f64 z 5081767996463981/9007199254740992))))))
21.0ms	(+.f64 5081767996463981/4503599627370496 (*.f64 z 5081767996463981/9007199254740992))
42.0ms	(.f64 z (+.f64 5081767996463981/4503599627370496 (.f64 z 5081767996463981/9007199254740992)))
68.0ms	(/.f64 y (+.f64 5081767996463981/4503599627370496 (.f64 z (+.f64 5081767996463981/4503599627370496 (.f64 z 5081767996463981/9007199254740992)))))

simplify94.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	5100	1625

prune336.0ms

Filtered

65 candidates to 86 candidates (-32.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	86	0	86
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	86	2	88

Merged error: 0b

Counts

88 → 2

regimes304.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	24	18
1	24	18

end0.0ms

sample583.0ms

Algorithm

intervals

Results

342.0ms	8000×	body	80	valid
0.0ms	1×	body	80	invalid

Details

analyze231.0ms

sample27.0ms

simplify317.0ms

prune7.0ms

localize13.0ms

rewrite23.0ms

series154.0ms

simplify53.0ms

prune274.0ms

localize15.0ms

rewrite31.0ms

series240.0ms

simplify89.0ms

prune478.0ms

localize13.0ms

rewrite37.0ms

series161.0ms

simplify90.0ms

prune346.0ms

localize13.0ms

rewrite23.0ms

series226.0ms

simplify94.0ms

prune336.0ms

regimes304.0ms

bsearch0.0ms

simplify4.0ms

end0.0ms

sample583.0ms

Profiling