Details

analyze695.0ms

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

sample21.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
2.0ms	56×	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: 4.2b

Counts

2 → 1

localize6.0ms

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)
4.6b	(/.f64 (*.f64 (-.f64 y x) z) t)

rewrite22.0ms

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:

6.0ms	(+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t))
7.0ms	(*.f64 (-.f64 y x) z)
8.0ms	(/.f64 (*.f64 (-.f64 y x) z) t)

series32.0ms

Counts

3 → 9

Calls

3 calls:

12.0ms	(+.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)

simplify42.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5581	558

prune49.0ms

Filtered

45 candidates to 66 candidates (-46.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	60	6	66
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	60	7	67

Merged error: 0.0b

Counts

67 → 7

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (/.f64 (-.f64 y x) (/.f64 t z)))
7.7b	(/.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))

series26.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify53.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5387	1677

prune57.0ms

Filtered

85 candidates to 120 candidates (-41.2%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	118	2	120
Fresh	2	3	5
Picked	0	1	1
Done	0	1	1
Total	120	7	127

Merged error: 0b

Counts

127 → 7

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))
7.5b	(*.f64 (-.f64 y x) (/.f64 z t))

rewrite16.0ms

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))

simplify50.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5329	557

prune31.0ms

Filtered

38 candidates to 55 candidates (-44.7%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	55	0	55
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	55	7	62

Merged error: 0b

Counts

62 → 7

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 t)
0.5b	(cbrt.f64 t)
1.0b	(/.f64 (.f64 (/.f64 (-.f64 y x) (.f64 (cbrt.f64 t) (cbrt.f64 t))) z) (cbrt.f64 t))
3.6b	(.f64 (/.f64 (-.f64 y x) (.f64 (cbrt.f64 t) (cbrt.f64 t))) z)

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-exp-log_binary64`
19×	`add-cbrt-cube_binary64` `add-sqr-sqrt_binary64`
15×	`*-un-lft-identity_binary64`
13×	`add-cube-cbrt_binary64`
12×	`times-frac_binary64` `cbrt-prod_binary64`
9×	`associate-l_binary64`
8×	`cbrt-unprod_binary64` `cbrt-undiv_binary64` `prod-exp_binary64` `div-exp_binary64`
6×	`associate-/r*_binary64` `pow1_binary64`
4×	`add-log-exp_binary64`
3×	`associate-r_binary64`
2×	`pow1/3_binary64` `unswap-sqr_binary64` `div-inv_binary64` `associate-*l/_binary64`
1×	`pow-prod-down_binary64` `associate-/l/_binary64` `clear-num_binary64` `frac-2neg_binary64` `difference-of-squares_binary64` `associate-/l_binary64` `distribute-lft-out--_binary64` `-commutative_binary64`

Counts

4 → 84

Calls

4 calls:

1.0ms	(cbrt.f64 t)
1.0ms	(cbrt.f64 t)
13.0ms	(/.f64 (.f64 (/.f64 (-.f64 y x) (.f64 (cbrt.f64 t) (cbrt.f64 t))) z) (cbrt.f64 t))
12.0ms	(.f64 (/.f64 (-.f64 y x) (.f64 (cbrt.f64 t) (cbrt.f64 t))) z)

series115.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(cbrt.f64 t)
14.0ms	(cbrt.f64 t)
19.0ms	(/.f64 (.f64 (/.f64 (-.f64 y x) (.f64 (cbrt.f64 t) (cbrt.f64 t))) z) (cbrt.f64 t))
67.0ms	(.f64 (/.f64 (-.f64 y x) (.f64 (cbrt.f64 t) (cbrt.f64 t))) z)

simplify36.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5063	810

prune41.0ms

Filtered

71 candidates to 96 candidates (-35.2%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	96	0	96
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	96	7	103

Merged error: 0b

Counts

103 → 7

regimes266.0ms

Accuracy

46.9% (1.0b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 1.9b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	34	43
1	34	43

end0.0ms

sample573.0ms

Algorithm

intervals

Results

247.0ms	8000×	body	80	valid
64.0ms	2087×	body	80	invalid

Details

analyze695.0ms

sample21.0ms

simplify43.0ms

prune3.0ms

localize6.0ms

rewrite22.0ms

series32.0ms

simplify42.0ms

prune49.0ms

localize7.0ms

rewrite35.0ms

series26.0ms

simplify53.0ms

prune57.0ms

localize7.0ms

rewrite16.0ms

series25.0ms

simplify50.0ms

prune31.0ms

localize10.0ms

rewrite30.0ms

series115.0ms

simplify36.0ms

prune41.0ms

regimes266.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample573.0ms

Profiling