Details

analyze630.0ms

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	77×	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

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: 4.6b

Counts

2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(*.f64 (-.f64 y x) z)
0.0b	(+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t))
5.1b	(/.f64 (*.f64 (-.f64 y x) z) t)

rewrite21.0ms

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:

7.0ms	(*.f64 (-.f64 y x) z)
5.0ms	(+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t))
8.0ms	(/.f64 (*.f64 (-.f64 y x) z) t)

series37.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(*.f64 (-.f64 y x) z)
16.0ms	(+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t))
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

prune48.0ms

Filtered

45 candidates to 66 candidates (-46.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	61	5	66
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	61	6	67

Merged error: 0b

Counts

67 → 6

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite35.0ms

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:

20.0ms	(+.f64 x (/.f64 (-.f64 y x) (/.f64 t z)))
9.0ms	(/.f64 (-.f64 y x) (/.f64 t z))

series29.0ms

Counts

2 → 6

Calls

2 calls:

15.0ms	(+.f64 x (/.f64 (-.f64 y x) (/.f64 t z)))
14.0ms	(/.f64 (-.f64 y x) (/.f64 t z))

simplify48.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5387	1677

prune51.0ms

Filtered

85 candidates to 120 candidates (-41.2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	120	0	120
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	120	6	126

Merged error: 0b

Counts

126 → 6

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt_binary64`
13×	`associate-r_binary64`
12×	`*-un-lft-identity_binary64`
10×	`add-cube-cbrt_binary64` `times-frac_binary64`
7×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`associate-l_binary64`
4×	`add-log-exp_binary64` `pow1_binary64`
2×	`flip3--_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `flip--_binary64` `frac-times_binary64` `associate-*l/_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `cbrt-undiv_binary64` `associate-r/_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `div-inv_binary64` `div-exp_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64` `-commutative_binary64`

Counts

2 → 49

Calls

2 calls:

4.0ms	(+.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))
10.0ms	(*.f64 (-.f64 y x) (/.f64 z t))

series25.0ms

Counts

2 → 6

Calls

2 calls:

12.0ms	(+.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))
13.0ms	(*.f64 (-.f64 y x) (/.f64 z t))

simplify48.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5329	557

prune27.0ms

Filtered

36 candidates to 55 candidates (-52.8%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	55	0	55
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	55	6	61

Merged error: 0b

Counts

61 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 t)
0.6b	(cbrt.f64 t)
0.6b	(cbrt.f64 t)
4.8b	(.f64 (/.f64 (-.f64 y x) (.f64 (cbrt.f64 t) (cbrt.f64 t))) (/.f64 z (cbrt.f64 t)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-sqr-sqrt_binary64`
30×	`times-frac_binary64`
25×	`add-exp-log_binary64`
24×	`*-un-lft-identity_binary64`
22×	`associate-r_binary64` `add-cube-cbrt_binary64`
20×	`cbrt-prod_binary64`
18×	`add-cbrt-cube_binary64`
9×	`associate-l_binary64`
8×	`cbrt-unprod_binary64` `prod-exp_binary64`
7×	`cbrt-undiv_binary64` `div-exp_binary64`
6×	`pow1_binary64` `unswap-sqr_binary64`
4×	`add-log-exp_binary64`
3×	`pow1/3_binary64`
2×	`div-inv_binary64`
1×	`pow-prod-down_binary64` `associate-r/_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `frac-times_binary64` `associate-l/_binary64` `*-commutative_binary64`

Counts

4 → 94

Calls

4 calls:

1.0ms	(cbrt.f64 t)
1.0ms	(cbrt.f64 t)
2.0ms	(cbrt.f64 t)
18.0ms	(.f64 (/.f64 (-.f64 y x) (.f64 (cbrt.f64 t) (cbrt.f64 t))) (/.f64 z (cbrt.f64 t)))

series67.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(cbrt.f64 t)
15.0ms	(cbrt.f64 t)
17.0ms	(cbrt.f64 t)
20.0ms	(.f64 (/.f64 (-.f64 y x) (.f64 (cbrt.f64 t) (cbrt.f64 t))) (/.f64 z (cbrt.f64 t)))

simplify41.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5061	945

prune44.0ms

Filtered

82 candidates to 106 candidates (-29.3%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	106	0	106
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	106	6	112

Merged error: 0b

Counts

112 → 6

regimes242.0ms

Accuracy

5.2% (2.0b remaining)

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

bsearch34.0ms

Steps

Iters	Range		Point
9	3.2015008582738755e-197	1.6392432400199267e-191	9.622287039753109e-192
9	-6.168021861058758e-227	-2.012780975786221e-236	-1.312051773856559e-230

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	33	27
1	33	27

end0.0ms

sample715.0ms

Algorithm

intervals

Results

390.0ms	8000×	body	80	valid
64.0ms	2088×	body	80	invalid

Details

analyze630.0ms

sample22.0ms

simplify43.0ms

prune3.0ms

localize6.0ms

rewrite21.0ms

series37.0ms

simplify39.0ms

prune48.0ms

localize6.0ms

rewrite35.0ms

series29.0ms

simplify48.0ms

prune51.0ms

localize6.0ms

rewrite15.0ms

series25.0ms

simplify48.0ms

prune27.0ms

localize10.0ms

rewrite26.0ms

series67.0ms

simplify41.0ms

prune44.0ms

regimes242.0ms

bsearch34.0ms

simplify2.0ms

end0.0ms

sample715.0ms

Profiling