Details

analyze641.0ms

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	80×	body	80	invalid

simplify45.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (42.0ms)

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: 5.9b

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))
5.7b	(/.f64 (*.f64 (-.f64 y x) z) t)

rewrite20.0ms

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

series38.0ms

Counts

3 → 9

Calls

3 calls:

8.0ms	(*.f64 (-.f64 y x) z)
13.0ms	(+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t))
17.0ms	(/.f64 (*.f64 (-.f64 y x) z) t)

simplify39.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5581	558

prune75.0ms

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

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (/.f64 (-.f64 y x) (/.f64 t z)))
5.6b	(/.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:

18.0ms	(+.f64 x (/.f64 (-.f64 y x) (/.f64 t z)))
11.0ms	(/.f64 (-.f64 y x) (/.f64 t z))

series28.0ms

Counts

2 → 6

Calls

2 calls:

13.0ms	(+.f64 x (/.f64 (-.f64 y x) (/.f64 t z)))
15.0ms	(/.f64 (-.f64 y x) (/.f64 t z))

simplify46.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5387	1677

prune90.0ms

Filtered

84 candidates to 120 candidates (-42.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	119	1	120
Fresh	3	3	6
Picked	0	1	1
Done	0	1	1
Total	122	6	128

Merged error: 0b

Counts

128 → 6

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

42×	`add-sqr-sqrt_binary64`
37×	`*-un-lft-identity_binary64`
31×	`times-frac_binary64`
23×	`add-cube-cbrt_binary64`
19×	`associate-l_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
5×	`add-log-exp_binary64` `pow1_binary64` `associate-/l*_binary64`
3×	`associate-/r_binary64` `associate-r*_binary64`
2×	`associate-/l/_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `div-inv_binary64` `div-exp_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `flip3--_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `+-commutative_binary64` `flip--_binary64` `flip-+_binary64` `associate-l/_binary64` `sum-log_binary64` `-commutative_binary64`

Counts

3 → 87

Calls

3 calls:

4.0ms	(+.f64 x (*.f64 (/.f64 (-.f64 y x) t) z))
6.0ms	(/.f64 (-.f64 y x) t)
9.0ms	(*.f64 (/.f64 (-.f64 y x) t) z)

series37.0ms

Counts

3 → 9

Calls

3 calls:

13.0ms	(+.f64 x (*.f64 (/.f64 (-.f64 y x) t) z))
7.0ms	(/.f64 (-.f64 y x) t)
17.0ms	(*.f64 (/.f64 (-.f64 y x) t) z)

simplify54.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5934	891

prune71.0ms

Filtered

66 candidates to 96 candidates (-45.5%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	96	0	96
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	96	6	102

Merged error: 0b

Counts

102 → 6

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (-.f64 y x) z)
0.0b	(+.f64 x (/.f64 1 (/.f64 t (*.f64 (-.f64 y x) z))))
0.4b	(/.f64 1 (/.f64 t (*.f64 (-.f64 y x) z)))
5.6b	(/.f64 t (*.f64 (-.f64 y x) z))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

42×	`times-frac_binary64`
32×	`add-exp-log_binary64`
31×	`*-un-lft-identity_binary64`
30×	`add-sqr-sqrt_binary64`
26×	`add-cube-cbrt_binary64`
20×	`add-cbrt-cube_binary64`
14×	`div-exp_binary64`
12×	`associate-*l/_binary64`
11×	`associate-/r/_binary64`
10×	`associate-/r*_binary64`
7×	`pow1_binary64` `cbrt-undiv_binary64` `div-inv_binary64`
6×	`add-log-exp_binary64` `flip3--_binary64` `associate-/l*_binary64` `flip--_binary64`
5×	`associate-l_binary64` `prod-exp_binary64`
3×	`cbrt-unprod_binary64` `associate-r_binary64` `1-exp_binary64` `rec-exp_binary64`
2×	`distribute-lft-out_binary64` `clear-num_binary64` `frac-2neg_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `unswap-sqr_binary64` `inv-pow_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `+-commutative_binary64` `pow-flip_binary64` `flip-+_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

4 → 122

Calls

4 calls:

6.0ms	(*.f64 (-.f64 y x) z)
11.0ms	(+.f64 x (/.f64 1 (/.f64 t (*.f64 (-.f64 y x) z))))
11.0ms	(/.f64 1 (/.f64 t (*.f64 (-.f64 y x) z)))
7.0ms	(/.f64 t (*.f64 (-.f64 y x) z))

series51.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(*.f64 (-.f64 y x) z)
12.0ms	(+.f64 x (/.f64 1 (/.f64 t (*.f64 (-.f64 y x) z))))
15.0ms	(/.f64 1 (/.f64 t (*.f64 (-.f64 y x) z)))
16.0ms	(/.f64 t (*.f64 (-.f64 y x) z))

simplify46.0ms

Algorithm

egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5092	1333

prune79.0ms

Filtered

82 candidates to 134 candidates (-63.4%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	134	0	134
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	134	6	140

Merged error: 0b

Counts

140 → 6

regimes322.0ms

Accuracy

34.5% (1.4b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 2.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	34	43
1	34	43

end0.0ms

sample599.0ms

Algorithm

intervals

Results

268.0ms	8000×	body	80	valid
68.0ms	2161×	body	80	invalid

Details

analyze641.0ms

sample22.0ms

simplify45.0ms

prune3.0ms

localize6.0ms

rewrite20.0ms

series38.0ms

simplify39.0ms

prune75.0ms

localize6.0ms

rewrite34.0ms

series28.0ms

simplify46.0ms

prune90.0ms

localize6.0ms

rewrite21.0ms

series37.0ms

simplify54.0ms

prune71.0ms

localize8.0ms

rewrite39.0ms

series51.0ms

simplify46.0ms

prune79.0ms

regimes322.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample599.0ms

Profiling