Details

analyze237.0ms

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

sample18.0ms

Algorithm

intervals

Results

10.0ms

256×

body

valid

simplify142.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (139.0ms)

Iter	Nodes	Cost
0	4743	12
1	4743	12

prune2.0ms

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: 2.5b

Counts

2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (/.f64 y (-.f64 (.f64 5081767996463981/4503599627370496 (exp.f64 z)) (.f64 x y))))
0.0b	(*.f64 5081767996463981/4503599627370496 (exp.f64 z))
0.6b	(-.f64 (.f64 5081767996463981/4503599627370496 (exp.f64 z)) (.f64 x y))
7.3b	(/.f64 y (-.f64 (.f64 5081767996463981/4503599627370496 (exp.f64 z)) (.f64 x y)))

rewrite29.0ms

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

series52.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(+.f64 x (/.f64 y (-.f64 (.f64 5081767996463981/4503599627370496 (exp.f64 z)) (.f64 x y))))
3.0ms	(*.f64 5081767996463981/4503599627370496 (exp.f64 z))
12.0ms	(-.f64 (.f64 5081767996463981/4503599627370496 (exp.f64 z)) (.f64 x y))
24.0ms	(/.f64 y (-.f64 (.f64 5081767996463981/4503599627370496 (exp.f64 z)) (.f64 x y)))

simplify71.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4923	997
1	4923	997

prune61.0ms

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

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (/.f64 1 (-.f64 (/.f64 (exp.f64 z) (*.f64 y 4503599627370496/5081767996463981)) x)))
0.1b	(/.f64 1 (-.f64 (/.f64 (exp.f64 z) (*.f64 y 4503599627370496/5081767996463981)) x))
0.1b	(/.f64 (exp.f64 z) (*.f64 y 4503599627370496/5081767996463981))
0.2b	(*.f64 y 4503599627370496/5081767996463981)

rewrite38.0ms

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`
7×	`pow1_binary64`
6×	`associate-/r_binary64` `add-log-exp_binary64` `associate-/l_binary64`
4×	`difference-of-squares_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 (exp.f64 z) (*.f64 y 4503599627370496/5081767996463981)) x)))
10.0ms	(/.f64 1 (-.f64 (/.f64 (exp.f64 z) (*.f64 y 4503599627370496/5081767996463981)) x))
6.0ms	(/.f64 (exp.f64 z) (*.f64 y 4503599627370496/5081767996463981))
4.0ms	(*.f64 y 4503599627370496/5081767996463981)

series52.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(+.f64 x (/.f64 1 (-.f64 (/.f64 (exp.f64 z) (*.f64 y 4503599627370496/5081767996463981)) x)))
22.0ms	(/.f64 1 (-.f64 (/.f64 (exp.f64 z) (*.f64 y 4503599627370496/5081767996463981)) x))
6.0ms	(/.f64 (exp.f64 z) (*.f64 y 4503599627370496/5081767996463981))
2.0ms	(*.f64 y 4503599627370496/5081767996463981)

simplify85.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	5034	1132

prune92.0ms

Filtered

67 candidates to 105 candidates (-56.7%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	104	1	105
Fresh	1	1	2
Picked	1	0	1
Done	1	0	1
Total	107	2	109

Merged error: 0b

Counts

109 → 2

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

51×	`add-sqr-sqrt_binary64`
43×	`times-frac_binary64`
39×	`*-un-lft-identity_binary64`
34×	`add-cube-cbrt_binary64`
27×	`add-exp-log_binary64`
20×	`add-cbrt-cube_binary64`
13×	`associate-r_binary64` `associate-l_binary64`
11×	`div-exp_binary64`
8×	`prod-exp_binary64`
7×	`pow1_binary64`
6×	`associate-/r_binary64` `add-log-exp_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `associate-/l_binary64`
5×	`div-inv_binary64`
4×	`cbrt-unprod_binary64`
3×	`1-exp_binary64` `rec-exp_binary64`
2×	`distribute-lft-out_binary64` `associate-/r/_binary64` `clear-num_binary64` `frac-2neg_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `flip3--_binary64` `associate-r/_binary64` `inv-pow_binary64` `+-commutative_binary64` `flip--_binary64` `pow-flip_binary64` `flip-+_binary64` `frac-times_binary64` `associate-l/_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

4 → 129

Calls

4 calls:

16.0ms	(+.f64 x (/.f64 1 (-.f64 (*.f64 (/.f64 1 y) (/.f64 (exp.f64 z) 4503599627370496/5081767996463981)) x)))
5.0ms	(/.f64 (exp.f64 z) 4503599627370496/5081767996463981)
12.0ms	(/.f64 1 (-.f64 (*.f64 (/.f64 1 y) (/.f64 (exp.f64 z) 4503599627370496/5081767996463981)) x))
25.0ms	(*.f64 (/.f64 1 y) (/.f64 (exp.f64 z) 4503599627370496/5081767996463981))

series42.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(+.f64 x (/.f64 1 (-.f64 (*.f64 (/.f64 1 y) (/.f64 (exp.f64 z) 4503599627370496/5081767996463981)) x)))
3.0ms	(/.f64 (exp.f64 z) 4503599627370496/5081767996463981)
22.0ms	(/.f64 1 (-.f64 (*.f64 (/.f64 1 y) (/.f64 (exp.f64 z) 4503599627370496/5081767996463981)) x))
6.0ms	(*.f64 (/.f64 1 y) (/.f64 (exp.f64 z) 4503599627370496/5081767996463981))

simplify71.0ms

Algorithm

egg-herbie

Counts

141 → 141

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4984	1451
1	4984	1451

prune78.0ms

Filtered

99 candidates to 141 candidates (-42.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	141	0	141
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	141	2	143

Merged error: 0b

Counts

143 → 2

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b	(pow.f64 (-.f64 (.f64 5081767996463981/4503599627370496 (exp.f64 z)) (.f64 y x)) 3)
0.6b	(-.f64 (.f64 5081767996463981/4503599627370496 (exp.f64 z)) (.f64 y x))
7.3b	(/.f64 y (cbrt.f64 (pow.f64 (-.f64 (.f64 5081767996463981/4503599627370496 (exp.f64 z)) (.f64 y x)) 3)))
14.9b	(cbrt.f64 (pow.f64 (-.f64 (.f64 5081767996463981/4503599627370496 (exp.f64 z)) (.f64 y x)) 3))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

60×	`cbrt-prod_binary64`
45×	`times-frac_binary64`
42×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
18×	`unpow-prod-down_binary64` `cube-prod_binary64`
15×	`associate-/r*_binary64`
7×	`add-exp-log_binary64`
6×	`add-log-exp_binary64` `sqr-pow_binary64` `add-cbrt-cube_binary64` `cube-div_binary64` `unpow3_binary64` `cube-mult_binary64`
5×	`pow1_binary64`
4×	`cbrt-div_binary64` `flip3--_binary64` `flip--_binary64`
3×	`pow-unpow_binary64` `associate-/l*_binary64`
2×	`associate-/r/_binary64`
1×	`pow-to-exp_binary64` `sub-neg_binary64` `rem-cbrt-cube_binary64` `diff-log_binary64` `cbrt-undiv_binary64` `pow1/3_binary64` `pow-pow_binary64` `clear-num_binary64` `rem-cube-cbrt_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `pow-exp_binary64`

Counts

4 → 136

Calls

4 calls:

6.0ms	(pow.f64 (-.f64 (.f64 5081767996463981/4503599627370496 (exp.f64 z)) (.f64 y x)) 3)
6.0ms	(-.f64 (.f64 5081767996463981/4503599627370496 (exp.f64 z)) (.f64 y x))
11.0ms	(/.f64 y (cbrt.f64 (pow.f64 (-.f64 (.f64 5081767996463981/4503599627370496 (exp.f64 z)) (.f64 y x)) 3)))
9.0ms	(cbrt.f64 (pow.f64 (-.f64 (.f64 5081767996463981/4503599627370496 (exp.f64 z)) (.f64 y x)) 3))

series82.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(pow.f64 (-.f64 (.f64 5081767996463981/4503599627370496 (exp.f64 z)) (.f64 y x)) 3)
12.0ms	(-.f64 (.f64 5081767996463981/4503599627370496 (exp.f64 z)) (.f64 y x))
25.0ms	(/.f64 y (cbrt.f64 (pow.f64 (-.f64 (.f64 5081767996463981/4503599627370496 (exp.f64 z)) (.f64 y x)) 3)))
13.0ms	(cbrt.f64 (pow.f64 (-.f64 (.f64 5081767996463981/4503599627370496 (exp.f64 z)) (.f64 y x)) 3))

simplify59.0ms

Algorithm

egg-herbie

Counts

148 → 148

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5008	2342

prune63.0ms

Filtered

84 candidates to 148 candidates (-76.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	148	0	148
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	148	2	150

Merged error: 0b

Counts

150 → 2

regimes139.0ms

Accuracy

0% (0.0b 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	24	14
1	24	14

end0.0ms

sample516.0ms

Algorithm

intervals

Results

339.0ms

8000×

body

valid

Details

analyze237.0ms

sample18.0ms

simplify142.0ms

prune2.0ms

localize11.0ms

rewrite29.0ms

series52.0ms

simplify71.0ms

prune61.0ms

localize8.0ms

rewrite38.0ms

series52.0ms

simplify85.0ms

prune92.0ms

localize19.0ms

rewrite62.0ms

series42.0ms

simplify71.0ms

prune78.0ms

localize12.0ms

rewrite38.0ms

series82.0ms

simplify59.0ms

prune63.0ms

regimes139.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample516.0ms

Profiling