Details

analyze974.0ms

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
0%	99.8%	0.2%	9
4.7%	95.1%	0.2%	10
12.7%	87.1%	0.2%	11
15.9%	83.9%	0.2%	12
18.4%	81.3%	0.2%	13
29.5%	70.3%	0.2%	14

sample26.0ms

Algorithm

intervals

Results

13.0ms	256×	body	80	valid
1.0ms	16×	body	80	invalid

simplify149.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (147.0ms)

Iter	Nodes	Cost
0	4786	11
1	4786	11

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: 10.4b

Counts

2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (/.f64 (*.f64 (-.f64 y z) t) (-.f64 a z)))
0.0b	(*.f64 (-.f64 y z) t)
10.7b	(/.f64 (*.f64 (-.f64 y z) t) (-.f64 a z))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 63

Calls

3 calls:

8.0ms	(+.f64 x (/.f64 (*.f64 (-.f64 y z) t) (-.f64 a z)))
7.0ms	(*.f64 (-.f64 y z) t)
10.0ms	(/.f64 (*.f64 (-.f64 y z) t) (-.f64 a z))

series59.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(+.f64 x (/.f64 (*.f64 (-.f64 y z) t) (-.f64 a z)))
8.0ms	(*.f64 (-.f64 y z) t)
18.0ms	(/.f64 (*.f64 (-.f64 y z) t) (-.f64 a z))

simplify41.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5590	683

prune76.0ms

Filtered

53 candidates to 72 candidates (-35.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	68	4	72
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	68	5	73

Merged error: 0.0b

Counts

73 → 5

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (*.f64 (-.f64 y z) (/.f64 t (-.f64 a z))))
0.0b	(/.f64 t (-.f64 a z))
12.7b	(*.f64 (-.f64 y z) (/.f64 t (-.f64 a z)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-sqr-sqrt_binary64`
39×	`*-un-lft-identity_binary64`
31×	`times-frac_binary64`
23×	`add-cube-cbrt_binary64`
21×	`associate-r_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
5×	`associate-/r_binary64` `add-log-exp_binary64` `pow1_binary64` `associate-l*_binary64`
4×	`flip3--_binary64` `associate-/r/_binary64` `flip--_binary64`
3×	`associate-/l*_binary64`
2×	`cbrt-unprod_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `div-inv_binary64` `div-exp_binary64` `frac-times_binary64` `associate-*l/_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `associate-r/_binary64` `clear-num_binary64` `frac-2neg_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64` `-commutative_binary64`

Counts

3 → 94

Calls

3 calls:

4.0ms	(+.f64 x (*.f64 (-.f64 y z) (/.f64 t (-.f64 a z))))
6.0ms	(/.f64 t (-.f64 a z))
13.0ms	(*.f64 (-.f64 y z) (/.f64 t (-.f64 a z)))

series60.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(+.f64 x (*.f64 (-.f64 y z) (/.f64 t (-.f64 a z))))
9.0ms	(/.f64 t (-.f64 a z))
18.0ms	(*.f64 (-.f64 y z) (/.f64 t (-.f64 a z)))

simplify57.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4972	1059
1	4972	1059

prune86.0ms

Filtered

74 candidates to 103 candidates (-39.2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	102	1	103
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	102	6	108

Merged error: 0b

Counts

108 → 6

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (.f64 (-.f64 y z) (.f64 t (/.f64 1 (-.f64 a z)))))
0.0b	(/.f64 1 (-.f64 a z))
0.2b	(*.f64 t (/.f64 1 (-.f64 a z)))
12.7b	(.f64 (-.f64 y z) (.f64 t (/.f64 1 (-.f64 a z))))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

48×	`add-sqr-sqrt_binary64`
42×	`*-un-lft-identity_binary64`
32×	`add-exp-log_binary64` `times-frac_binary64`
25×	`add-cube-cbrt_binary64`
22×	`associate-r_binary64`
20×	`add-cbrt-cube_binary64`
13×	`prod-exp_binary64`
12×	`pow1_binary64`
8×	`associate-l_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64`
7×	`cbrt-unprod_binary64`
6×	`add-log-exp_binary64` `associate-*r/_binary64` `div-exp_binary64`
5×	`associate-/r*_binary64` `flip3--_binary64` `flip--_binary64`
4×	`pow-prod-down_binary64` `associate-/r/_binary64` `un-div-inv_binary64` `frac-times_binary64`
3×	`1-exp_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `rec-exp_binary64` `associate-/l*_binary64`
2×	`div-inv_binary64` `associate-l/_binary64` `-commutative_binary64`
1×	`flip3-+_binary64` `clear-num_binary64` `inv-pow_binary64` `frac-2neg_binary64` `+-commutative_binary64` `pow-flip_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

4 → 128

Calls

4 calls:

5.0ms	(+.f64 x (.f64 (-.f64 y z) (.f64 t (/.f64 1 (-.f64 a z)))))
6.0ms	(/.f64 1 (-.f64 a z))
11.0ms	(*.f64 t (/.f64 1 (-.f64 a z)))
15.0ms	(.f64 (-.f64 y z) (.f64 t (/.f64 1 (-.f64 a z))))

series68.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(+.f64 x (.f64 (-.f64 y z) (.f64 t (/.f64 1 (-.f64 a z)))))
5.0ms	(/.f64 1 (-.f64 a z))
8.0ms	(*.f64 t (/.f64 1 (-.f64 a z)))
19.0ms	(.f64 (-.f64 y z) (.f64 t (/.f64 1 (-.f64 a z))))

simplify56.0ms

Algorithm

egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5949	1199

prune99.0ms

Filtered

84 candidates to 140 candidates (-66.7%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	140	0	140
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	140	6	146

Merged error: 0b

Counts

146 → 6

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (/.f64 (-.f64 y z) (/.f64 (-.f64 a z) t)))
0.0b	(/.f64 (-.f64 a z) t)
13.3b	(/.f64 (-.f64 y z) (/.f64 (-.f64 a z) t))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

200×	`times-frac_binary64`
173×	`*-un-lft-identity_binary64`
171×	`add-sqr-sqrt_binary64`
87×	`add-cube-cbrt_binary64`
42×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
22×	`associate-/r*_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-/l*_binary64`
8×	`div-inv_binary64`
5×	`add-log-exp_binary64`
4×	`associate-/l/_binary64` `cbrt-undiv_binary64` `div-exp_binary64`
3×	`pow1_binary64` `div-sub_binary64`
2×	`flip3--_binary64` `clear-num_binary64` `frac-2neg_binary64` `flip--_binary64`
1×	`flip3-+_binary64` `associate-+r-_binary64` `distribute-lft-out_binary64` `associate-/r/_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

3 → 188

Calls

3 calls:

26.0ms	(+.f64 x (/.f64 (-.f64 y z) (/.f64 (-.f64 a z) t)))
6.0ms	(/.f64 (-.f64 a z) t)
12.0ms	(/.f64 (-.f64 y z) (/.f64 (-.f64 a z) t))

series68.0ms

Counts

3 → 9

Calls

3 calls:

31.0ms	(+.f64 x (/.f64 (-.f64 y z) (/.f64 (-.f64 a z) t)))
7.0ms	(/.f64 (-.f64 a z) t)
30.0ms	(/.f64 (-.f64 y z) (/.f64 (-.f64 a z) t))

simplify63.0ms

Algorithm

egg-herbie

Counts

197 → 197

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5575	3054

prune124.0ms

Filtered

132 candidates to 197 candidates (-49.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	196	1	197
Fresh	1	1	2
Picked	1	0	1
Done	1	2	3
Total	199	4	203

Merged error: 0b

Counts

203 → 4

regimes440.0ms

Accuracy

0% (1.4b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	24	11
1	24	11

end0.0ms

sample595.0ms

Algorithm

intervals

Results

298.0ms	7997×	body	80	valid
33.0ms	719×	body	80	invalid
0.0ms	1×	body	2560	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid

Details

analyze974.0ms

sample26.0ms

simplify149.0ms

prune4.0ms

localize8.0ms

rewrite26.0ms

series59.0ms

simplify41.0ms

prune76.0ms

localize10.0ms

rewrite26.0ms

series60.0ms

simplify57.0ms

prune86.0ms

localize9.0ms

rewrite41.0ms

series68.0ms

simplify56.0ms

prune99.0ms

localize8.0ms

rewrite54.0ms

series68.0ms

simplify63.0ms

prune124.0ms

regimes440.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample595.0ms

Profiling