Details

analyze652.0ms

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
12.5%	87.3%	0.2%	8
18.7%	81.1%	0.2%	9
22.6%	77.2%	0.2%	10
25%	74.9%	0.2%	11
39.4%	60.4%	0.2%	12
46.5%	53.2%	0.3%	13
48%	51.4%	0.6%	14

sample18.0ms

Algorithm

intervals

Results

9.0ms	256×	body	128	valid
1.0ms	16×	body	128	invalid

simplify75.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	1196	13
1	1196	13

prune4.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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: 4.5b

Counts

2 → 2

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/.f64 2 (-.f64 y t))
0.2b	(/.f64 (/.f64 2 (-.f64 y t)) z)
4.6b	(*.f64 x (/.f64 (/.f64 2 (-.f64 y t)) z))

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

249×	`times-frac_binary64`
180×	`add-sqr-sqrt_binary64`
171×	`*-un-lft-identity_binary64`
121×	`add-cube-cbrt_binary64`
67×	`associate-r_binary64`
25×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
24×	`associate-/l*_binary64`
19×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
16×	`associate-/r/_binary64`
10×	`div-inv_binary64`
8×	`associate-/r*_binary64` `flip3--_binary64` `flip--_binary64`
7×	`cbrt-undiv_binary64` `div-exp_binary64`
5×	`pow1_binary64`
3×	`add-log-exp_binary64` `cbrt-unprod_binary64` `associate-l_binary64` `unswap-sqr_binary64` `prod-exp_binary64`
2×	`clear-num_binary64` `frac-2neg_binary64`
1×	`pow-prod-down_binary64` `associate-/l/_binary64` `associate-r/_binary64` `-commutative_binary64`

Counts

3 → 228

Calls

3 calls:

6.0ms	(/.f64 2 (-.f64 y t))
15.0ms	(/.f64 (/.f64 2 (-.f64 y t)) z)
25.0ms	(*.f64 x (/.f64 (/.f64 2 (-.f64 y t)) z))

series329.0ms

Counts

3 → 9

Calls

3 calls:

52.0ms	(/.f64 2 (-.f64 y t))
114.0ms	(/.f64 (/.f64 2 (-.f64 y t)) z)
163.0ms	(*.f64 x (/.f64 (/.f64 2 (-.f64 y t)) z))

simplify96.0ms

Algorithm

egg-herbie

Counts

237 → 237

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5005	4394

prune191.0ms

Filtered

177 candidates to 237 candidates (-33.9%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	230	7	237
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	230	9	239

Merged error: 0b

Counts

239 → 9

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)
1.2b	(.f64 x (/.f64 (.f64 (cbrt.f64 (/.f64 2 (-.f64 y t))) (cbrt.f64 (/.f64 2 (-.f64 y t)))) (*.f64 (cbrt.f64 z) (cbrt.f64 z))))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-exp-log_binary64`
14×	`add-cbrt-cube_binary64`
12×	`add-sqr-sqrt_binary64`
9×	`*-un-lft-identity_binary64` `cbrt-unprod_binary64` `add-cube-cbrt_binary64` `prod-exp_binary64` `cbrt-prod_binary64`
6×	`pow1_binary64`
5×	`associate-r_binary64`
4×	`add-log-exp_binary64` `cbrt-undiv_binary64` `div-exp_binary64`
3×	`pow1/3_binary64` `associate-l_binary64`
2×	`unswap-sqr_binary64` `times-frac_binary64`
1×	`pow-prod-down_binary64` `associate-r/_binary64` `div-inv_binary64` `-commutative_binary64`

Counts

4 → 63

Calls

4 calls:

1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)
22.0ms	(.f64 x (/.f64 (.f64 (cbrt.f64 (/.f64 2 (-.f64 y t))) (cbrt.f64 (/.f64 2 (-.f64 y t)))) (*.f64 (cbrt.f64 z) (cbrt.f64 z))))

series942.0ms

Counts

4 → 12

Calls

4 calls:

148.0ms	(cbrt.f64 z)
143.0ms	(cbrt.f64 z)
152.0ms	(cbrt.f64 z)
499.0ms	(.f64 x (/.f64 (.f64 (cbrt.f64 (/.f64 2 (-.f64 y t))) (cbrt.f64 (/.f64 2 (-.f64 y t)))) (*.f64 (cbrt.f64 z) (cbrt.f64 z))))

simplify70.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4946	1172
1	4946	1172

prune96.0ms

Filtered

58 candidates to 75 candidates (-29.3%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	75	0	75
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	75	9	84

Merged error: 0b

Counts

84 → 9

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b	(/.f64 (/.f64 (sqrt.f64 2) (-.f64 y t)) z)
0.4b	(*.f64 (sqrt.f64 2) (/.f64 (/.f64 (sqrt.f64 2) (-.f64 y t)) z))
0.5b	(/.f64 (sqrt.f64 2) (-.f64 y t))
4.6b	(.f64 x (.f64 (sqrt.f64 2) (/.f64 (/.f64 (sqrt.f64 2) (-.f64 y t)) z)))

rewrite147.0ms

Algorithm

rewrite-expression-head

Rules

466×	`times-frac_binary64`
343×	`add-sqr-sqrt_binary64`
317×	`*-un-lft-identity_binary64`
219×	`add-cube-cbrt_binary64`
132×	`sqrt-prod_binary64`
113×	`associate-r_binary64`
49×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
42×	`associate-/l*_binary64`
34×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
16×	`associate-/r/_binary64`
11×	`pow1_binary64`
10×	`cbrt-unprod_binary64` `cbrt-undiv_binary64` `prod-exp_binary64` `div-inv_binary64` `div-exp_binary64`
9×	`associate-l_binary64`
8×	`associate-/r*_binary64` `flip3--_binary64` `unswap-sqr_binary64` `flip--_binary64`
4×	`pow-prod-down_binary64` `add-log-exp_binary64`
3×	`associate-*r/_binary64`
2×	`clear-num_binary64` `frac-2neg_binary64` `*-commutative_binary64`
1×	`associate-/l/_binary64`

Counts

4 → 382

Calls

4 calls:

15.0ms	(/.f64 (/.f64 (sqrt.f64 2) (-.f64 y t)) z)
42.0ms	(*.f64 (sqrt.f64 2) (/.f64 (/.f64 (sqrt.f64 2) (-.f64 y t)) z))
7.0ms	(/.f64 (sqrt.f64 2) (-.f64 y t))
23.0ms	(.f64 x (.f64 (sqrt.f64 2) (/.f64 (/.f64 (sqrt.f64 2) (-.f64 y t)) z)))

series773.0ms

Counts

4 → 12

Calls

4 calls:

162.0ms	(/.f64 (/.f64 (sqrt.f64 2) (-.f64 y t)) z)
241.0ms	(*.f64 (sqrt.f64 2) (/.f64 (/.f64 (sqrt.f64 2) (-.f64 y t)) z))
83.0ms	(/.f64 (sqrt.f64 2) (-.f64 y t))
287.0ms	(.f64 x (.f64 (sqrt.f64 2) (/.f64 (/.f64 (sqrt.f64 2) (-.f64 y t)) z)))

simplify141.0ms

Algorithm

egg-herbie

Counts

394 → 394

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	5155	8365

prune285.0ms

Filtered

232 candidates to 394 candidates (-69.8%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	394	0	394
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	394	9	403

Merged error: 0b

Counts

403 → 9

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/.f64 2 (-.f64 y t))
0.2b	(*.f64 x (/.f64 2 (-.f64 y t)))
5.1b	(.f64 (.f64 x (/.f64 2 (-.f64 y t))) (/.f64 1 z))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 120

Calls

3 calls:

6.0ms	(/.f64 2 (-.f64 y t))
14.0ms	(*.f64 x (/.f64 2 (-.f64 y t)))
14.0ms	(.f64 (.f64 x (/.f64 2 (-.f64 y t))) (/.f64 1 z))

series287.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(/.f64 2 (-.f64 y t))
76.0ms	(*.f64 x (/.f64 2 (-.f64 y t)))
157.0ms	(.f64 (.f64 x (/.f64 2 (-.f64 y t))) (/.f64 1 z))

simplify70.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5240	1691

prune78.0ms

Filtered

83 candidates to 129 candidates (-55.4%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	127	2	129
Fresh	3	2	5
Picked	0	1	1
Done	1	2	3
Total	131	7	138

Merged error: 0b

Counts

138 → 7

regimes141.0ms

Accuracy

52.7% (2.8b remaining)

Error of 2.8b against oracle of 0.0b and baseline of 6.0b

bsearch35.0ms

Steps

Iters	Range		Point
8	3.0494544025874225e+123	1.2962890720908927e+126	7.416951298675344e+123
8	-7.96790353752712e-07	-6.223418819548935e-10	-2.2106545227979478e-08

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	37	43
1	37	43

end0.0ms

sample528.0ms

Algorithm

intervals

Results

284.0ms	8000×	body	128	valid
26.0ms	691×	body	128	invalid

Details

analyze652.0ms

sample18.0ms

simplify75.0ms

prune4.0ms

localize7.0ms

rewrite72.0ms

series329.0ms

simplify96.0ms

prune191.0ms

localize16.0ms

rewrite33.0ms

series942.0ms

simplify70.0ms

prune96.0ms

localize9.0ms

rewrite147.0ms

series773.0ms

simplify141.0ms

prune285.0ms

localize9.0ms

rewrite45.0ms

series287.0ms

simplify70.0ms

prune78.0ms

regimes141.0ms

bsearch35.0ms

simplify2.0ms

end0.0ms

sample528.0ms

Profiling