Details

analyze1.1s

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

sample22.0ms

Algorithm

intervals

Results

9.0ms	256×	body	128	valid
1.0ms	24×	body	128	invalid

simplify131.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (124.0ms)

Iter	Nodes	Cost
0	4953	16
1	4953	16

prune1.0ms

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: 8.1b

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))
8.5b	(/.f64 (*.f64 y (-.f64 z t)) (-.f64 z a))

rewrite34.0ms

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:

12.0ms	(+.f64 x (/.f64 (*.f64 y (-.f64 z t)) (-.f64 z a)))
7.0ms	(*.f64 y (-.f64 z t))
10.0ms	(/.f64 (*.f64 y (-.f64 z t)) (-.f64 z a))

series457.0ms

Counts

3 → 9

Calls

3 calls:

232.0ms	(+.f64 x (/.f64 (*.f64 y (-.f64 z t)) (-.f64 z a)))
66.0ms	(*.f64 y (-.f64 z t))
159.0ms	(/.f64 (*.f64 y (-.f64 z t)) (-.f64 z a))

simplify56.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	6014	1037

prune55.0ms

Filtered

53 candidates to 74 candidates (-39.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	70	4	74
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	70	5	75

Merged error: 0b

Counts

75 → 5

localize9.0ms

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))
3.5b	(/.f64 y (/.f64 (-.f64 z a) (-.f64 z t)))

rewrite82.0ms

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:

34.0ms	(+.f64 x (/.f64 y (/.f64 (-.f64 z a) (-.f64 z t))))
9.0ms	(/.f64 (-.f64 z a) (-.f64 z t))
13.0ms	(/.f64 y (/.f64 (-.f64 z a) (-.f64 z t)))

series576.0ms

Counts

3 → 9

Calls

3 calls:

244.0ms	(+.f64 x (/.f64 y (/.f64 (-.f64 z a) (-.f64 z t))))
71.0ms	(/.f64 (-.f64 z a) (-.f64 z t))
262.0ms	(/.f64 y (/.f64 (-.f64 z a) (-.f64 z t)))

simplify96.0ms

Algorithm

egg-herbie

Counts

215 → 215

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4987	5192
1	4987	5192

prune122.0ms

Filtered

145 candidates to 215 candidates (-48.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	215	0	215
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	215	5	220

Merged error: 0b

Counts

220 → 5

localize9.0ms

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

rewrite40.0ms

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))))
9.0ms	(/.f64 (-.f64 z t) (-.f64 z a))
16.0ms	(*.f64 y (/.f64 (-.f64 z t) (-.f64 z a)))

series480.0ms

Counts

3 → 9

Calls

3 calls:

237.0ms	(+.f64 x (*.f64 y (/.f64 (-.f64 z t) (-.f64 z a))))
75.0ms	(/.f64 (-.f64 z t) (-.f64 z a))
168.0ms	(*.f64 y (/.f64 (-.f64 z t) (-.f64 z a)))

simplify62.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5068	2068

prune65.0ms

Filtered

82 candidates to 122 candidates (-48.8%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	122	0	122
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	122	5	127

Merged error: 0b

Counts

127 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (-.f64 z a))
0.6b	(cbrt.f64 (-.f64 z a))
3.7b	(/.f64 (.f64 (/.f64 y (.f64 (cbrt.f64 (-.f64 z a)) (cbrt.f64 (-.f64 z a)))) (-.f64 z t)) (cbrt.f64 (-.f64 z a)))
6.9b	(.f64 (/.f64 y (.f64 (cbrt.f64 (-.f64 z a)) (cbrt.f64 (-.f64 z a)))) (-.f64 z t))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-exp-log_binary64` `add-sqr-sqrt_binary64`
23×	`*-un-lft-identity_binary64`
20×	`cbrt-prod_binary64`
19×	`add-cbrt-cube_binary64`
18×	`cbrt-div_binary64`
15×	`associate-l_binary64`
13×	`flip3--_binary64` `add-cube-cbrt_binary64` `flip--_binary64`
12×	`times-frac_binary64`
10×	`associate-/r/_binary64`
8×	`associate-/r*_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `prod-exp_binary64` `div-exp_binary64` `frac-times_binary64`
6×	`pow1_binary64` `associate-*r/_binary64`
5×	`associate-/l/_binary64` `associate-r_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64`
4×	`add-log-exp_binary64` `associate-*l/_binary64`
2×	`sub-neg_binary64` `pow1/3_binary64` `unswap-sqr_binary64` `div-inv_binary64`
1×	`pow-prod-down_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `-commutative_binary64`

Counts

4 → 116

Calls

4 calls:

3.0ms	(cbrt.f64 (-.f64 z a))
3.0ms	(cbrt.f64 (-.f64 z a))
23.0ms	(/.f64 (.f64 (/.f64 y (.f64 (cbrt.f64 (-.f64 z a)) (cbrt.f64 (-.f64 z a)))) (-.f64 z t)) (cbrt.f64 (-.f64 z a)))
23.0ms	(.f64 (/.f64 y (.f64 (cbrt.f64 (-.f64 z a)) (cbrt.f64 (-.f64 z a)))) (-.f64 z t))

series1.4s

Counts

4 → 12

Calls

4 calls:

219.0ms	(cbrt.f64 (-.f64 z a))
212.0ms	(cbrt.f64 (-.f64 z a))
290.0ms	(/.f64 (.f64 (/.f64 y (.f64 (cbrt.f64 (-.f64 z a)) (cbrt.f64 (-.f64 z a)))) (-.f64 z t)) (cbrt.f64 (-.f64 z a)))
690.0ms	(.f64 (/.f64 y (.f64 (cbrt.f64 (-.f64 z a)) (cbrt.f64 (-.f64 z a)))) (-.f64 z t))

simplify54.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5006	2732

prune90.0ms

Filtered

97 candidates to 128 candidates (-32.0%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	128	0	128
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	128	5	133

Merged error: 0b

Counts

133 → 5

regimes152.0ms

Accuracy

80.8% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 1.3b

bsearch1.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	46	70
1	46	70

end0.0ms

sample605.0ms

Algorithm

intervals

Results

304.0ms	7998×	body	128	valid
35.0ms	760×	body	128	invalid
0.0ms	1×	body	1024	valid
0.0ms	1×	body	512	valid

Details

analyze1.1s

sample22.0ms

simplify131.0ms

prune1.0ms

localize9.0ms

rewrite34.0ms

series457.0ms

simplify56.0ms

prune55.0ms

localize9.0ms

rewrite82.0ms

series576.0ms

simplify96.0ms

prune122.0ms

localize9.0ms

rewrite40.0ms

series480.0ms

simplify62.0ms

prune65.0ms

localize13.0ms

rewrite66.0ms

series1.4s

simplify54.0ms

prune90.0ms

regimes152.0ms

bsearch1.0ms

simplify3.0ms

end0.0ms

sample605.0ms

Profiling