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

sample23.0ms

Algorithm

intervals

Results

13.0ms

256×

body

valid

simplify169.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (166.0ms)

Iter	Nodes	Cost
0	4698	12
1	4698	12

prune3.0ms

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: 4.1b

Counts

2 → 1

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (/.f64 y (-.f64 (.f64 1.1283791670955126 (exp.f64 z)) (.f64 x y))))
0.0b	(*.f64 1.1283791670955126 (exp.f64 z))
1.5b	(-.f64 (.f64 1.1283791670955126 (exp.f64 z)) (.f64 x y))
7.6b	(/.f64 y (-.f64 (.f64 1.1283791670955126 (exp.f64 z)) (.f64 x y)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 70

Calls

4 calls:

10.0ms	(+.f64 x (/.f64 y (-.f64 (.f64 1.1283791670955126 (exp.f64 z)) (.f64 x y))))
5.0ms	(*.f64 1.1283791670955126 (exp.f64 z))
5.0ms	(-.f64 (.f64 1.1283791670955126 (exp.f64 z)) (.f64 x y))
7.0ms	(/.f64 y (-.f64 (.f64 1.1283791670955126 (exp.f64 z)) (.f64 x y)))

series62.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(+.f64 x (/.f64 y (-.f64 (.f64 1.1283791670955126 (exp.f64 z)) (.f64 x y))))
3.0ms	(*.f64 1.1283791670955126 (exp.f64 z))
17.0ms	(-.f64 (.f64 1.1283791670955126 (exp.f64 z)) (.f64 x y))
28.0ms	(/.f64 y (-.f64 (.f64 1.1283791670955126 (exp.f64 z)) (.f64 x y)))

simplify64.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5425	1001

prune98.0ms

Filtered

66 candidates to 82 candidates (-24.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	79	3	82
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	79	4	83

Merged error: 0b

Counts

83 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (/.f64 1 (-.f64 (/.f64 (*.f64 1.1283791670955126 (exp.f64 z)) y) x)))
0.0b	(*.f64 1.1283791670955126 (exp.f64 z))
0.0b	(/.f64 1 (-.f64 (/.f64 (*.f64 1.1283791670955126 (exp.f64 z)) y) x))
0.2b	(/.f64 (*.f64 1.1283791670955126 (exp.f64 z)) y)

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

29×	`*-un-lft-identity_binary64`
28×	`add-sqr-sqrt_binary64`
18×	`add-cube-cbrt_binary64` `times-frac_binary64`
13×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`associate-/r*_binary64`
7×	`pow1_binary64`
6×	`add-log-exp_binary64`
4×	`difference-of-squares_binary64` `associate-/l*_binary64` `distribute-lft-out--_binary64` `div-exp_binary64`
3×	`associate-r_binary64` `cbrt-undiv_binary64` `associate-l_binary64` `div-inv_binary64`
2×	`cbrt-unprod_binary64` `distribute-lft-out_binary64` `associate-/r/_binary64` `clear-num_binary64` `prod-exp_binary64` `frac-2neg_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `flip3--_binary64` `1-exp_binary64` `unswap-sqr_binary64` `inv-pow_binary64` `rec-exp_binary64` `+-commutative_binary64` `flip--_binary64` `pow-flip_binary64` `flip-+_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

4 → 93

Calls

4 calls:

14.0ms	(+.f64 x (/.f64 1 (-.f64 (/.f64 (*.f64 1.1283791670955126 (exp.f64 z)) y) x)))
6.0ms	(*.f64 1.1283791670955126 (exp.f64 z))
10.0ms	(/.f64 1 (-.f64 (/.f64 (*.f64 1.1283791670955126 (exp.f64 z)) y) x))
7.0ms	(/.f64 (*.f64 1.1283791670955126 (exp.f64 z)) y)

series51.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(+.f64 x (/.f64 1 (-.f64 (/.f64 (*.f64 1.1283791670955126 (exp.f64 z)) y) x)))
3.0ms	(*.f64 1.1283791670955126 (exp.f64 z))
24.0ms	(/.f64 1 (-.f64 (/.f64 (*.f64 1.1283791670955126 (exp.f64 z)) y) x))
10.0ms	(/.f64 (*.f64 1.1283791670955126 (exp.f64 z)) y)

simplify75.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4955	1162
1	4955	1162

prune89.0ms

Filtered

68 candidates to 105 candidates (-54.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	104	1	105
Fresh	1	1	2
Picked	1	0	1
Done	0	1	1
Total	106	3	109

Merged error: 0b

Counts

109 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (/.f64 1.1283791670955126 (/.f64 y (exp.f64 z))) x)
0.0b	(+.f64 x (/.f64 1 (-.f64 (/.f64 1.1283791670955126 (/.f64 y (exp.f64 z))) x)))
0.0b	(/.f64 1 (-.f64 (/.f64 1.1283791670955126 (/.f64 y (exp.f64 z))) x))
0.2b	(/.f64 y (exp.f64 z))

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

69×	`add-sqr-sqrt_binary64`
45×	`times-frac_binary64`
37×	`*-un-lft-identity_binary64`
24×	`add-cube-cbrt_binary64`
15×	`difference-of-squares_binary64`
10×	`associate-/r*_binary64`
9×	`add-exp-log_binary64`
8×	`add-log-exp_binary64` `add-cbrt-cube_binary64`
6×	`associate-/l*_binary64`
5×	`pow1_binary64` `distribute-lft-out--_binary64`
3×	`div-inv_binary64` `div-exp_binary64`
2×	`flip3--_binary64` `distribute-lft-out_binary64` `cbrt-undiv_binary64` `associate-/r/_binary64` `clear-num_binary64` `frac-2neg_binary64` `flip--_binary64`
1×	`flip3-+_binary64` `sub-neg_binary64` `diff-log_binary64` `1-exp_binary64` `inv-pow_binary64` `rec-exp_binary64` `+-commutative_binary64` `pow-flip_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

4 → 104

Calls

4 calls:

18.0ms	(-.f64 (/.f64 1.1283791670955126 (/.f64 y (exp.f64 z))) x)
26.0ms	(+.f64 x (/.f64 1 (-.f64 (/.f64 1.1283791670955126 (/.f64 y (exp.f64 z))) x)))
18.0ms	(/.f64 1 (-.f64 (/.f64 1.1283791670955126 (/.f64 y (exp.f64 z))) x))
5.0ms	(/.f64 y (exp.f64 z))

series60.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(-.f64 (/.f64 1.1283791670955126 (/.f64 y (exp.f64 z))) x)
13.0ms	(+.f64 x (/.f64 1 (-.f64 (/.f64 1.1283791670955126 (/.f64 y (exp.f64 z))) x)))
24.0ms	(/.f64 1 (-.f64 (/.f64 1.1283791670955126 (/.f64 y (exp.f64 z))) x))
9.0ms	(/.f64 y (exp.f64 z))

simplify68.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5168	1529

prune104.0ms

Filtered

84 candidates to 116 candidates (-38.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	116	0	116
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	116	3	119

Merged error: 0b

Counts

119 → 3

localize17.0ms

Local error

Found 4 expressions with local error:

1.5b	(-.f64 (.f64 1.1283791670955126 (exp.f64 z)) (.f64 y x))
3.7b	(/.f64 y (.f64 (-.f64 (/.f64 (.f64 1.1283791670955126 (exp.f64 z)) y) x) (-.f64 (.f64 1.1283791670955126 (exp.f64 z)) (.f64 y x))))
7.6b	(/.f64 y (-.f64 (.f64 1.1283791670955126 (exp.f64 z)) (.f64 y x)))
25.3b	(/.f64 (-.f64 (.f64 x x) (/.f64 y (.f64 (-.f64 (/.f64 (.f64 1.1283791670955126 (exp.f64 z)) y) x) (-.f64 (.f64 1.1283791670955126 (exp.f64 z)) (.f64 y x))))) (-.f64 x (/.f64 y (-.f64 (.f64 1.1283791670955126 (exp.f64 z)) (*.f64 y x)))))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

58×	`add-sqr-sqrt_binary64`
41×	`times-frac_binary64`
36×	`*-un-lft-identity_binary64`
26×	`add-cube-cbrt_binary64`
17×	`difference-of-squares_binary64`
13×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
12×	`associate-/r/_binary64`
10×	`associate-/r_binary64` `flip3--_binary64` `associate-/l_binary64` `flip--_binary64`
6×	`add-log-exp_binary64`
5×	`distribute-lft-out--_binary64`
4×	`pow1_binary64` `cbrt-undiv_binary64` `div-exp_binary64` `frac-times_binary64`
3×	`clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64`
2×	`associate-/l/_binary64` `associate-r/_binary64` `associate-l/_binary64`
1×	`sub-neg_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `div-sub_binary64` `prod-exp_binary64`

Counts

4 → 120

Calls

4 calls:

5.0ms	(-.f64 (.f64 1.1283791670955126 (exp.f64 z)) (.f64 y x))
17.0ms	(/.f64 y (.f64 (-.f64 (/.f64 (.f64 1.1283791670955126 (exp.f64 z)) y) x) (-.f64 (.f64 1.1283791670955126 (exp.f64 z)) (.f64 y x))))
7.0ms	(/.f64 y (-.f64 (.f64 1.1283791670955126 (exp.f64 z)) (.f64 y x)))
23.0ms	(/.f64 (-.f64 (.f64 x x) (/.f64 y (.f64 (-.f64 (/.f64 (.f64 1.1283791670955126 (exp.f64 z)) y) x) (-.f64 (.f64 1.1283791670955126 (exp.f64 z)) (.f64 y x))))) (-.f64 x (/.f64 y (-.f64 (.f64 1.1283791670955126 (exp.f64 z)) (*.f64 y x)))))

series135.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(-.f64 (.f64 1.1283791670955126 (exp.f64 z)) (.f64 y x))
46.0ms	(/.f64 y (.f64 (-.f64 (/.f64 (.f64 1.1283791670955126 (exp.f64 z)) y) x) (-.f64 (.f64 1.1283791670955126 (exp.f64 z)) (.f64 y x))))
27.0ms	(/.f64 y (-.f64 (.f64 1.1283791670955126 (exp.f64 z)) (.f64 y x)))
48.0ms	(/.f64 (-.f64 (.f64 x x) (/.f64 y (.f64 (-.f64 (/.f64 (.f64 1.1283791670955126 (exp.f64 z)) y) x) (-.f64 (.f64 1.1283791670955126 (exp.f64 z)) (.f64 y x))))) (-.f64 x (/.f64 y (-.f64 (.f64 1.1283791670955126 (exp.f64 z)) (*.f64 y x)))))

simplify53.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5153	4220

prune190.0ms

Filtered

110 candidates to 132 candidates (-20.0%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	132	0	132
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	132	3	135

Merged error: 0b

Counts

135 → 3

regimes287.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	12
1	22	12

end0.0ms

sample493.0ms

Algorithm

intervals

Results

320.0ms

8000×

body

valid

Details

analyze231.0ms

sample23.0ms

simplify169.0ms

prune3.0ms

localize9.0ms

rewrite30.0ms

series62.0ms

simplify64.0ms

prune98.0ms

localize9.0ms

rewrite40.0ms

series51.0ms

simplify75.0ms

prune89.0ms

localize9.0ms

rewrite71.0ms

series60.0ms

simplify68.0ms

prune104.0ms

localize17.0ms

rewrite56.0ms

series135.0ms

simplify53.0ms

prune190.0ms

regimes287.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample493.0ms

Profiling