Details

analyze913.0ms

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
2.3%	97.4%	0.2%	9
4.7%	95.1%	0.2%	10
12.7%	87.1%	0.2%	11
15.9%	83.9%	0.2%	12
24.9%	74.9%	0.2%	13
33.2%	66.5%	0.2%	14

sample24.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
1.0ms	25×	body	80	invalid

simplify113.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (110.0ms)

Iter	Nodes	Cost
0	4952	11
1	4952	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: 11.1b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (/.f64 (*.f64 y (-.f64 z t)) (-.f64 z a)))
0.0b	(*.f64 y (-.f64 z t))
11.0b	(/.f64 (*.f64 y (-.f64 z t)) (-.f64 z a))

rewrite31.0ms

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-r*_binary64` `times-frac_binary64`
4×	`associate-*r/_binary64`
3×	`flip3--_binary64` `associate-l_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `flip--_binary64`
2×	`associate-/l/_binary64` `sub-neg_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` `distribute-lft-in_binary64` `distribute-rgt-in_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 → 65

Calls

3 calls:

8.0ms	(+.f64 x (/.f64 (*.f64 y (-.f64 z t)) (-.f64 z a)))
7.0ms	(*.f64 y (-.f64 z t))
14.0ms	(/.f64 (*.f64 y (-.f64 z t)) (-.f64 z a))

series54.0ms

Counts

3 → 9

Calls

3 calls:

29.0ms	(+.f64 x (/.f64 (*.f64 y (-.f64 z t)) (-.f64 z a)))
8.0ms	(*.f64 y (-.f64 z t))
18.0ms	(/.f64 (*.f64 y (-.f64 z t)) (-.f64 z a))

simplify42.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5408	699

prune77.0ms

Filtered

53 candidates to 74 candidates (-39.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	71	3	74
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	71	4	75

Merged error: 0b

Counts

75 → 4

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (/.f64 y (/.f64 (-.f64 z a) (-.f64 z t))))
0.0b	(/.f64 (-.f64 z a) (-.f64 z t))
1.2b	(/.f64 y (/.f64 (-.f64 z a) (-.f64 z t)))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

218×	`times-frac_binary64`
197×	`*-un-lft-identity_binary64`
195×	`add-sqr-sqrt_binary64`
91×	`add-cube-cbrt_binary64`
52×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
36×	`associate-/r*_binary64`
11×	`associate-/r/_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`associate-/l*_binary64`
6×	`flip3--_binary64` `div-inv_binary64` `flip--_binary64`
5×	`add-log-exp_binary64`
4×	`cbrt-undiv_binary64` `div-exp_binary64`
3×	`pow1_binary64`
2×	`associate-/l/_binary64` `clear-num_binary64` `frac-2neg_binary64`
1×	`flip3-+_binary64` `distribute-lft-out_binary64` `div-sub_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

3 → 206

Calls

3 calls:

30.0ms	(+.f64 x (/.f64 y (/.f64 (-.f64 z a) (-.f64 z t))))
8.0ms	(/.f64 (-.f64 z a) (-.f64 z t))
13.0ms	(/.f64 y (/.f64 (-.f64 z a) (-.f64 z t)))

series63.0ms

Counts

3 → 9

Calls

3 calls:

29.0ms	(+.f64 x (/.f64 y (/.f64 (-.f64 z a) (-.f64 z t))))
9.0ms	(/.f64 (-.f64 z a) (-.f64 z t))
24.0ms	(/.f64 y (/.f64 (-.f64 z a) (-.f64 z t)))

simplify63.0ms

Algorithm

egg-herbie

Counts

215 → 215

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5338	3363

prune142.0ms

Filtered

145 candidates to 215 candidates (-48.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	215	0	215
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	215	4	219

Merged error: 0b

Counts

219 → 4

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (*.f64 y (/.f64 (-.f64 z t) (-.f64 z a))))
0.0b	(/.f64 (-.f64 z t) (-.f64 z a))
1.5b	(*.f64 y (/.f64 (-.f64 z t) (-.f64 z a)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

76×	`add-sqr-sqrt_binary64`
71×	`*-un-lft-identity_binary64`
51×	`times-frac_binary64`
31×	`associate-r_binary64`
27×	`add-cube-cbrt_binary64`
22×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`associate-/r_binary64` `add-log-exp_binary64` `pow1_binary64` `associate-/l_binary64`
4×	`associate-/r/_binary64`
3×	`flip3--_binary64` `associate-l_binary64` `flip--_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` `associate-r/_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64` `-commutative_binary64`

Counts

3 → 113

Calls

3 calls:

4.0ms	(+.f64 x (*.f64 y (/.f64 (-.f64 z t) (-.f64 z a))))
8.0ms	(/.f64 (-.f64 z t) (-.f64 z a))
16.0ms	(*.f64 y (/.f64 (-.f64 z t) (-.f64 z a)))

series56.0ms

Counts

3 → 9

Calls

3 calls:

29.0ms	(+.f64 x (*.f64 y (/.f64 (-.f64 z t) (-.f64 z a))))
9.0ms	(/.f64 (-.f64 z t) (-.f64 z a))
18.0ms	(*.f64 y (/.f64 (-.f64 z t) (-.f64 z a)))

simplify46.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	4994	1366
1	4994	1366

prune82.0ms

Filtered

81 candidates to 122 candidates (-50.6%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	122	0	122
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	122	4	126

Merged error: 0b

Counts

126 → 4

localize10.0ms

Local error

Found 3 expressions with local error:

0.1b	(/.f64 y (sqrt.f64 (-.f64 z a)))
0.2b	(/.f64 (-.f64 z t) (sqrt.f64 (-.f64 z a)))
3.5b	(*.f64 (/.f64 y (sqrt.f64 (-.f64 z a))) (/.f64 (-.f64 z t) (sqrt.f64 (-.f64 z a))))

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

175×	`add-sqr-sqrt_binary64`
145×	`*-un-lft-identity_binary64`
140×	`times-frac_binary64`
96×	`sqrt-prod_binary64`
75×	`add-cube-cbrt_binary64`
46×	`associate-r_binary64`
35×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
30×	`associate-l_binary64`
19×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
16×	`associate-/r*_binary64`
9×	`unswap-sqr_binary64`
8×	`associate-/r/_binary64` `associate-/l*_binary64` `sqrt-div_binary64`
6×	`cbrt-undiv_binary64` `div-exp_binary64`
5×	`pow1_binary64` `flip3--_binary64` `flip--_binary64`
4×	`cbrt-unprod_binary64` `prod-exp_binary64` `div-inv_binary64`
3×	`add-log-exp_binary64`
2×	`associate-/l/_binary64` `clear-num_binary64` `frac-2neg_binary64`
1×	`pow-prod-down_binary64` `associate-r/_binary64` `div-sub_binary64` `frac-times_binary64` `associate-l/_binary64` `*-commutative_binary64`

Counts

3 → 224

Calls

3 calls:

7.0ms	(/.f64 y (sqrt.f64 (-.f64 z a)))
10.0ms	(/.f64 (-.f64 z t) (sqrt.f64 (-.f64 z a)))
41.0ms	(*.f64 (/.f64 y (sqrt.f64 (-.f64 z a))) (/.f64 (-.f64 z t) (sqrt.f64 (-.f64 z a))))

series79.0ms

Counts

3 → 9

Calls

3 calls:

26.0ms	(/.f64 y (sqrt.f64 (-.f64 z a)))
28.0ms	(/.f64 (-.f64 z t) (sqrt.f64 (-.f64 z a)))
25.0ms	(*.f64 (/.f64 y (sqrt.f64 (-.f64 z a))) (/.f64 (-.f64 z t) (sqrt.f64 (-.f64 z a))))

simplify70.0ms

Algorithm

egg-herbie

Counts

233 → 233

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4965	3290
1	4965	3290

prune512.0ms

Filtered

141 candidates to 233 candidates (-65.2%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	233	0	233
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	233	4	237

Merged error: 0b

Counts

237 → 4

regimes464.0ms

Accuracy

0% (1.3b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 1.3b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	29	11
1	29	11

end0.0ms

sample606.0ms

Algorithm

intervals

Results

304.0ms	7998×	body	80	valid
25.0ms	706×	body	80	invalid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid

Details

analyze913.0ms

sample24.0ms

simplify113.0ms

prune4.0ms

localize9.0ms

rewrite31.0ms

series54.0ms

simplify42.0ms

prune77.0ms

localize8.0ms

rewrite64.0ms

series63.0ms

simplify63.0ms

prune142.0ms

localize8.0ms

rewrite33.0ms

series56.0ms

simplify46.0ms

prune82.0ms

localize10.0ms

rewrite69.0ms

series79.0ms

simplify70.0ms

prune512.0ms

regimes464.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample606.0ms

Profiling