Details

analyze438.0ms

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
15.6%	84.2%	0.2%	8
28.1%	71.7%	0.2%	9
37.4%	62.4%	0.2%	10
41.7%	58.1%	0.2%	11
53%	46.8%	0.2%	12
64.1%	35.6%	0.3%	13
66.7%	32.8%	0.5%	14

sample18.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
0.0ms	15×	body	80	invalid

simplify31.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	771	9
1	771	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: 6.5b

Counts

2 → 1

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(*.f64 (-.f64 y z) (-.f64 t z))
6.5b	(/.f64 x (*.f64 (-.f64 y z) (-.f64 t z)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 61

Calls

2 calls:

10.0ms	(*.f64 (-.f64 y z) (-.f64 t z))
10.0ms	(/.f64 x (*.f64 (-.f64 y z) (-.f64 t z)))

series40.0ms

Counts

2 → 6

Calls

2 calls:

8.0ms	(*.f64 (-.f64 y z) (-.f64 t z))
32.0ms	(/.f64 x (*.f64 (-.f64 y z) (-.f64 t z)))

simplify37.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5099	731

prune70.0ms

Filtered

51 candidates to 67 candidates (-31.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	63	4	67
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	63	5	68

Merged error: 0.0b

Counts

68 → 5

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/.f64 x (-.f64 y z))
1.8b	(/.f64 (/.f64 x (-.f64 y z)) (-.f64 t z))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

210×	`times-frac_binary64`
176×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
88×	`add-cube-cbrt_binary64`
44×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
24×	`associate-/l*_binary64`
16×	`associate-/r/_binary64`
10×	`associate-/r*_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`flip3--_binary64` `div-inv_binary64` `flip--_binary64`
4×	`cbrt-undiv_binary64` `div-exp_binary64`
2×	`add-log-exp_binary64` `pow1_binary64` `clear-num_binary64` `frac-2neg_binary64`
1×	`associate-/l/_binary64`

Counts

2 → 185

Calls

2 calls:

5.0ms	(/.f64 x (-.f64 y z))
12.0ms	(/.f64 (/.f64 x (-.f64 y z)) (-.f64 t z))

series43.0ms

Counts

2 → 6

Calls

2 calls:

8.0ms	(/.f64 x (-.f64 y z))
35.0ms	(/.f64 (/.f64 x (-.f64 y z)) (-.f64 t z))

simplify62.0ms

Algorithm

egg-herbie

Counts

191 → 191

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5407	3094

prune126.0ms

Filtered

128 candidates to 191 candidates (-49.2%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	189	2	191
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	189	7	196

Merged error: 0b

Counts

196 → 7

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/.f64 x (-.f64 t z))
0.0b	(/.f64 1 (-.f64 y z))
1.9b	(*.f64 (/.f64 1 (-.f64 y z)) (/.f64 x (-.f64 t z)))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

86×	`add-sqr-sqrt_binary64`
71×	`*-un-lft-identity_binary64`
67×	`times-frac_binary64`
41×	`add-cube-cbrt_binary64`
31×	`add-exp-log_binary64`
21×	`associate-r_binary64` `associate-l_binary64`
19×	`add-cbrt-cube_binary64`
14×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
11×	`div-exp_binary64`
10×	`associate-/r*_binary64`
8×	`associate-/r/_binary64` `prod-exp_binary64`
6×	`pow1_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `associate-/l*_binary64`
4×	`flip3--_binary64` `cbrt-unprod_binary64` `div-inv_binary64` `flip--_binary64`
3×	`add-log-exp_binary64` `1-exp_binary64` `rec-exp_binary64`
2×	`clear-num_binary64` `frac-2neg_binary64`
1×	`pow-prod-down_binary64` `associate-r/_binary64` `inv-pow_binary64` `pow-flip_binary64` `frac-times_binary64` `associate-l/_binary64` `*-commutative_binary64`

Counts

3 → 150

Calls

3 calls:

6.0ms	(/.f64 x (-.f64 t z))
6.0ms	(/.f64 1 (-.f64 y z))
23.0ms	(*.f64 (/.f64 1 (-.f64 y z)) (/.f64 x (-.f64 t z)))

series70.0ms

Counts

3 → 9

Calls

3 calls:

9.0ms	(/.f64 x (-.f64 t z))
8.0ms	(/.f64 1 (-.f64 y z))
54.0ms	(*.f64 (/.f64 1 (-.f64 y z)) (/.f64 x (-.f64 t z)))

simplify54.0ms

Algorithm

egg-herbie

Counts

159 → 159

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5027	1511

prune109.0ms

Filtered

100 candidates to 159 candidates (-59.0%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	158	1	159
Fresh	1	3	4
Picked	0	1	1
Done	0	2	2
Total	159	7	166

Merged error: 0b

Counts

166 → 7

localize10.0ms

Local error

Found 4 expressions with local error:

1.8b	(/.f64 (/.f64 x (-.f64 y z)) (-.f64 t z))
26.9b	(cbrt.f64 (/.f64 (/.f64 x (-.f64 y z)) (-.f64 t z)))
26.9b	(cbrt.f64 (/.f64 (/.f64 x (-.f64 y z)) (-.f64 t z)))
26.9b	(cbrt.f64 (/.f64 (/.f64 x (-.f64 y z)) (-.f64 t z)))

rewrite93.0ms

Algorithm

rewrite-expression-head

Rules

735×	`times-frac_binary64`
577×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
333×	`cbrt-prod_binary64`
281×	`add-cube-cbrt_binary64`
148×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
50×	`associate-/r/_binary64`
25×	`flip3--_binary64` `div-inv_binary64` `flip--_binary64`
21×	`associate-/l*_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`associate-/r*_binary64`
4×	`add-log-exp_binary64` `pow1_binary64`
3×	`cbrt-div_binary64` `cbrt-undiv_binary64` `pow1/3_binary64` `div-exp_binary64`
1×	`associate-/l/_binary64` `clear-num_binary64` `frac-2neg_binary64`

Counts

4 → 508

Calls

4 calls:

15.0ms	(/.f64 (/.f64 x (-.f64 y z)) (-.f64 t z))
14.0ms	(cbrt.f64 (/.f64 (/.f64 x (-.f64 y z)) (-.f64 t z)))
14.0ms	(cbrt.f64 (/.f64 (/.f64 x (-.f64 y z)) (-.f64 t z)))
13.0ms	(cbrt.f64 (/.f64 (/.f64 x (-.f64 y z)) (-.f64 t z)))

series323.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(/.f64 (/.f64 x (-.f64 y z)) (-.f64 t z))
94.0ms	(cbrt.f64 (/.f64 (/.f64 x (-.f64 y z)) (-.f64 t z)))
97.0ms	(cbrt.f64 (/.f64 (/.f64 x (-.f64 y z)) (-.f64 t z)))
100.0ms	(cbrt.f64 (/.f64 (/.f64 x (-.f64 y z)) (-.f64 t z)))

simplify104.0ms

Algorithm

egg-herbie

Counts

520 → 520

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5225	11104

prune327.0ms

Filtered

352 candidates to 520 candidates (-47.7%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	520	0	520
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	520	7	527

Merged error: 0b

Counts

527 → 7

regimes397.0ms

Accuracy

-2.7% (1.9b remaining)

Error of 1.9b against oracle of 0.0b and baseline of 1.9b

bsearch31.0ms

Steps

Iters	Range		Point
9	1.3980126503650563e-202	1.4706047232222897e-193	2.4978070913607958e-195
7	-2.2637928491589324e-178	-2.2327548535795383e-180	-7.78744813119852e-180

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	32	27
1	32	27

end0.0ms

sample464.0ms

Algorithm

intervals

Results

241.0ms	8000×	body	80	valid
13.0ms	447×	body	80	invalid

Details

analyze438.0ms

sample18.0ms

simplify31.0ms

prune3.0ms

localize10.0ms

rewrite21.0ms

series40.0ms

simplify37.0ms

prune70.0ms

localize6.0ms

rewrite28.0ms

series43.0ms

simplify62.0ms

prune126.0ms

localize8.0ms

rewrite40.0ms

series70.0ms

simplify54.0ms

prune109.0ms

localize10.0ms

rewrite93.0ms

series323.0ms

simplify104.0ms

prune327.0ms

regimes397.0ms

bsearch31.0ms

simplify2.0ms

end0.0ms

sample464.0ms

Profiling