Details

analyze653.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
16.4%	83.4%	0.2%	9
21.4%	78.4%	0.2%	10
25.1%	74.7%	0.2%	11
28%	70.2%	1.9%	12
39.6%	55.8%	4.6%	13
43.9%	50.4%	5.8%	14

sample22.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
2.0ms	64×	body	80	invalid

simplify43.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	733	9
1	733	9

prune4.0ms

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: 6.5b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t))
0.0b	(*.f64 (-.f64 y x) z)
6.9b	(/.f64 (*.f64 (-.f64 y x) z) t)

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 57

Calls

3 calls:

5.0ms	(+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t))
7.0ms	(*.f64 (-.f64 y x) z)
11.0ms	(/.f64 (*.f64 (-.f64 y x) z) t)

series31.0ms

Counts

3 → 9

Calls

3 calls:

11.0ms	(+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t))
7.0ms	(*.f64 (-.f64 y x) z)
13.0ms	(/.f64 (*.f64 (-.f64 y x) z) t)

simplify39.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5581	558

prune82.0ms

Filtered

45 candidates to 66 candidates (-46.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	59	7	66
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	59	8	67

Merged error: 0.0b

Counts

67 → 8

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (/.f64 (-.f64 y x) (/.f64 t z)))
8.3b	(/.f64 (-.f64 y x) (/.f64 t z))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

119×	`times-frac_binary64`
88×	`*-un-lft-identity_binary64`
86×	`add-sqr-sqrt_binary64`
58×	`add-cube-cbrt_binary64`
14×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
13×	`associate-/r*_binary64`
7×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `div-inv_binary64`
5×	`associate-/l*_binary64`
4×	`add-log-exp_binary64`
3×	`cbrt-undiv_binary64` `div-exp_binary64`
2×	`associate-/l/_binary64` `pow1_binary64` `div-sub_binary64`
1×	`flip3-+_binary64` `associate-+r-_binary64` `flip3--_binary64` `distribute-lft-out_binary64` `associate-/r/_binary64` `clear-num_binary64` `frac-2neg_binary64` `+-commutative_binary64` `flip--_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

2 → 114

Calls

2 calls:

19.0ms	(+.f64 x (/.f64 (-.f64 y x) (/.f64 t z)))
9.0ms	(/.f64 (-.f64 y x) (/.f64 t z))

series26.0ms

Counts

2 → 6

Calls

2 calls:

12.0ms	(+.f64 x (/.f64 (-.f64 y x) (/.f64 t z)))
14.0ms	(/.f64 (-.f64 y x) (/.f64 t z))

simplify51.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5387	1677

prune111.0ms

Filtered

84 candidates to 120 candidates (-42.9%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	117	3	120
Fresh	2	4	6
Picked	1	0	1
Done	1	0	1
Total	121	7	128

Merged error: 0b

Counts

128 → 7

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (/.f64 y (/.f64 t z)))
0.0b	(-.f64 (+.f64 x (/.f64 y (/.f64 t z))) (/.f64 x (/.f64 t z)))
5.5b	(/.f64 y (/.f64 t z))
6.0b	(/.f64 x (/.f64 t z))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

153×	`times-frac_binary64`
97×	`add-sqr-sqrt_binary64`
95×	`*-un-lft-identity_binary64`
88×	`add-cube-cbrt_binary64`
26×	`associate-/r*_binary64`
14×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
11×	`add-log-exp_binary64`
10×	`div-inv_binary64`
6×	`cbrt-undiv_binary64` `associate-/l*_binary64` `div-exp_binary64`
4×	`pow1_binary64`
3×	`difference-of-squares_binary64`
2×	`flip3-+_binary64` `diff-log_binary64` `distribute-lft-out_binary64` `associate-/r/_binary64` `clear-num_binary64` `frac-2neg_binary64` `distribute-lft-out--_binary64` `flip-+_binary64` `frac-sub_binary64` `sum-log_binary64`
1×	`sub-neg_binary64` `flip3--_binary64` `+-commutative_binary64` `flip--_binary64` `associate--l+_binary64`

Counts

4 → 172

Calls

4 calls:

13.0ms	(+.f64 x (/.f64 y (/.f64 t z)))
27.0ms	(-.f64 (+.f64 x (/.f64 y (/.f64 t z))) (/.f64 x (/.f64 t z)))
6.0ms	(/.f64 y (/.f64 t z))
6.0ms	(/.f64 x (/.f64 t z))

series35.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(+.f64 x (/.f64 y (/.f64 t z)))
12.0ms	(-.f64 (+.f64 x (/.f64 y (/.f64 t z))) (/.f64 x (/.f64 t z)))
6.0ms	(/.f64 y (/.f64 t z))
6.0ms	(/.f64 x (/.f64 t z))

simplify56.0ms

Algorithm

egg-herbie

Counts

184 → 184

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5000	2152

prune166.0ms

Filtered

148 candidates to 184 candidates (-24.3%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	183	1	184
Fresh	1	5	6
Picked	1	0	1
Done	0	0	0
Total	185	6	191

Merged error: 0b

Counts

191 → 6

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (/.f64 y (/.f64 t z)))
0.0b	(-.f64 (+.f64 x (/.f64 y (/.f64 t z))) (*.f64 x (/.f64 z t)))
5.5b	(/.f64 y (/.f64 t z))
5.9b	(*.f64 x (/.f64 z t))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

85×	`times-frac_binary64`
59×	`add-sqr-sqrt_binary64`
56×	`*-un-lft-identity_binary64`
54×	`add-cube-cbrt_binary64`
14×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
13×	`associate-/r_binary64` `associate-r*_binary64`
11×	`add-log-exp_binary64`
6×	`pow1_binary64` `div-inv_binary64`
4×	`cbrt-undiv_binary64` `div-exp_binary64`
3×	`associate-r/_binary64` `associate-l_binary64` `associate-/l_binary64`
2×	`flip3-+_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `flip-+_binary64` `frac-sub_binary64` `sum-log_binary64`
1×	`pow-prod-down_binary64` `sub-neg_binary64` `flip3--_binary64` `distribute-lft-out_binary64` `associate-/r/_binary64` `clear-num_binary64` `frac-2neg_binary64` `+-commutative_binary64` `flip--_binary64` `associate--l+_binary64` `*-commutative_binary64`

Counts

4 → 129

Calls

4 calls:

15.0ms	(+.f64 x (/.f64 y (/.f64 t z)))
17.0ms	(-.f64 (+.f64 x (/.f64 y (/.f64 t z))) (*.f64 x (/.f64 z t)))
6.0ms	(/.f64 y (/.f64 t z))
7.0ms	(*.f64 x (/.f64 z t))

series34.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(+.f64 x (/.f64 y (/.f64 t z)))
12.0ms	(-.f64 (+.f64 x (/.f64 y (/.f64 t z))) (*.f64 x (/.f64 z t)))
6.0ms	(/.f64 y (/.f64 t z))
5.0ms	(*.f64 x (/.f64 z t))

simplify49.0ms

Algorithm

egg-herbie

Counts

141 → 141

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	4968	1453
1	4968	1453

prune107.0ms

Filtered

109 candidates to 141 candidates (-29.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	141	0	141
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	141	6	147

Merged error: 0b

Counts

147 → 6

regimes284.0ms

Accuracy

-6.3% (2.1b remaining)

Error of 2.1b against oracle of 0.0b and baseline of 2.0b

bsearch35.0ms

Steps

Iters	Range		Point
9	4.412157151018234e-96	4.6568498045436184e-91	4.6167735875353816e-91
7	-1.7734739871949599e+84	-1.2203372729980879e+82	-1.6504017164332703e+82

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	67	43
1	67	43

end0.0ms

sample584.0ms

Algorithm

intervals

Results

249.0ms	8000×	body	80	valid
69.0ms	2063×	body	80	invalid

Details

analyze653.0ms

sample22.0ms

simplify43.0ms

prune4.0ms

localize7.0ms

rewrite25.0ms

series31.0ms

simplify39.0ms

prune82.0ms

localize7.0ms

rewrite34.0ms

series26.0ms

simplify51.0ms

prune111.0ms

localize8.0ms

rewrite60.0ms

series35.0ms

simplify56.0ms

prune166.0ms

localize9.0ms

rewrite49.0ms

series34.0ms

simplify49.0ms

prune107.0ms

regimes284.0ms

bsearch35.0ms

simplify2.0ms

end0.0ms

sample584.0ms

Profiling