Details

analyze672.0ms

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
17.2%	82.7%	0.2%	9
22.6%	77.2%	0.2%	10
25.7%	74.1%	0.2%	11
28.3%	69.9%	1.9%	12
40.1%	55.3%	4.6%	13
44.4%	49.9%	5.8%	14

sample20.0ms

Algorithm

intervals

Results

8.0ms	256×	body	128	valid
2.0ms	72×	body	128	invalid

simplify57.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	734	13
1	734	13

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: 1.4b

Counts

2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))
6.0b	(*.f64 (-.f64 y x) (/.f64 z t))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt_binary64`
13×	`associate-r_binary64`
12×	`*-un-lft-identity_binary64`
10×	`add-cube-cbrt_binary64` `times-frac_binary64`
7×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`associate-l_binary64`
4×	`add-log-exp_binary64` `pow1_binary64`
2×	`flip3--_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `flip--_binary64` `frac-times_binary64` `associate-*l/_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `cbrt-undiv_binary64` `associate-r/_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `div-inv_binary64` `div-exp_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64` `-commutative_binary64`

Counts

2 → 49

Calls

2 calls:

4.0ms	(+.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))
11.0ms	(*.f64 (-.f64 y x) (/.f64 z t))

series204.0ms

Counts

2 → 6

Calls

2 calls:

91.0ms	(+.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))
112.0ms	(*.f64 (-.f64 y x) (/.f64 z t))

simplify66.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5350	832

prune43.0ms

Filtered

39 candidates to 55 candidates (-41.0%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	51	4	55
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	51	5	56

Merged error: 0.0b

Counts

56 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (-.f64 y x))
0.5b	(cbrt.f64 (-.f64 y x))
2.6b	(*.f64 (/.f64 z t) (cbrt.f64 (-.f64 y x)))
3.5b	(.f64 (.f64 (cbrt.f64 (-.f64 y x)) (cbrt.f64 (-.f64 y x))) (*.f64 (/.f64 z t) (cbrt.f64 (-.f64 y x))))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

116×	`cbrt-div_binary64`
84×	`frac-times_binary64`
58×	`flip3--_binary64` `flip--_binary64`
37×	`associate-*r/_binary64`
31×	`add-sqr-sqrt_binary64`
30×	`add-exp-log_binary64` `associate-*l/_binary64`
21×	`*-un-lft-identity_binary64`
18×	`pow1_binary64` `add-cbrt-cube_binary64`
17×	`cbrt-prod_binary64`
15×	`cbrt-unprod_binary64` `add-cube-cbrt_binary64` `prod-exp_binary64`
14×	`associate-l_binary64`
11×	`times-frac_binary64`
9×	`pow-prod-down_binary64` `associate-r_binary64`
4×	`add-log-exp_binary64` `unswap-sqr_binary64`
3×	`cbrt-undiv_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `div-exp_binary64`
2×	`pow1/3_binary64` `*-commutative_binary64`
1×	`div-inv_binary64`

Counts

4 → 152

Calls

4 calls:

4.0ms	(cbrt.f64 (-.f64 y x))
4.0ms	(cbrt.f64 (-.f64 y x))
12.0ms	(*.f64 (/.f64 z t) (cbrt.f64 (-.f64 y x)))
23.0ms	(.f64 (.f64 (cbrt.f64 (-.f64 y x)) (cbrt.f64 (-.f64 y x))) (*.f64 (/.f64 z t) (cbrt.f64 (-.f64 y x))))

series813.0ms

Counts

4 → 12

Calls

4 calls:

227.0ms	(cbrt.f64 (-.f64 y x))
236.0ms	(cbrt.f64 (-.f64 y x))
229.0ms	(*.f64 (/.f64 z t) (cbrt.f64 (-.f64 y x)))
120.0ms	(.f64 (.f64 (cbrt.f64 (-.f64 y x)) (cbrt.f64 (-.f64 y x))) (*.f64 (/.f64 z t) (cbrt.f64 (-.f64 y x))))

simplify100.0ms

Algorithm

egg-herbie

Counts

164 → 164

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4997	4583
1	4997	4583

prune116.0ms

Filtered

103 candidates to 164 candidates (-59.2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	163	1	164
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	163	6	169

Merged error: 0.0b

Counts

169 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (-.f64 y x))
1.6b	(.f64 (cbrt.f64 (-.f64 y x)) (.f64 (cbrt.f64 (-.f64 y x)) (/.f64 z t)))
2.0b	(.f64 (cbrt.f64 (-.f64 y x)) (.f64 (cbrt.f64 (-.f64 y x)) (*.f64 (cbrt.f64 (-.f64 y x)) (/.f64 z t))))
2.6b	(*.f64 (cbrt.f64 (-.f64 y x)) (/.f64 z t))

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

138×	`cbrt-div_binary64`
100×	`frac-times_binary64`
69×	`flip3--_binary64` `flip--_binary64`
50×	`associate-*r/_binary64`
36×	`add-sqr-sqrt_binary64` `associate-*l/_binary64`
32×	`add-exp-log_binary64`
26×	`*-un-lft-identity_binary64`
24×	`associate-l_binary64`
22×	`cbrt-prod_binary64`
20×	`pow1_binary64`
18×	`add-cube-cbrt_binary64`
16×	`cbrt-unprod_binary64` `add-cbrt-cube_binary64` `prod-exp_binary64`
15×	`associate-r_binary64`
11×	`times-frac_binary64`
10×	`pow-prod-down_binary64`
4×	`add-log-exp_binary64` `unswap-sqr_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64`
3×	`cbrt-undiv_binary64` `div-exp_binary64` `*-commutative_binary64`
1×	`pow1/3_binary64` `div-inv_binary64`

Counts

4 → 181

Calls

4 calls:

4.0ms	(cbrt.f64 (-.f64 y x))
17.0ms	(.f64 (cbrt.f64 (-.f64 y x)) (.f64 (cbrt.f64 (-.f64 y x)) (/.f64 z t)))
25.0ms	(.f64 (cbrt.f64 (-.f64 y x)) (.f64 (cbrt.f64 (-.f64 y x)) (*.f64 (cbrt.f64 (-.f64 y x)) (/.f64 z t))))
13.0ms	(*.f64 (cbrt.f64 (-.f64 y x)) (/.f64 z t))

series1.1s

Counts

4 → 12

Calls

4 calls:

233.0ms	(cbrt.f64 (-.f64 y x))
358.0ms	(.f64 (cbrt.f64 (-.f64 y x)) (.f64 (cbrt.f64 (-.f64 y x)) (/.f64 z t)))
135.0ms	(.f64 (cbrt.f64 (-.f64 y x)) (.f64 (cbrt.f64 (-.f64 y x)) (*.f64 (cbrt.f64 (-.f64 y x)) (/.f64 z t))))
353.0ms	(*.f64 (cbrt.f64 (-.f64 y x)) (/.f64 z t))

simplify103.0ms

Algorithm

egg-herbie

Counts

193 → 193

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5573	5608

prune142.0ms

Filtered

128 candidates to 193 candidates (-50.8%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	192	1	193
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	192	7	199

Merged error: 0.0b

Counts

199 → 7

localize16.0ms

Local error

Found 4 expressions with local error:

2.6b	(*.f64 (cbrt.f64 (-.f64 y x)) (/.f64 z t))
7.8b	(cbrt.f64 (.f64 (cbrt.f64 (-.f64 y x)) (.f64 (cbrt.f64 (-.f64 y x)) (/.f64 z t))))
7.8b	(cbrt.f64 (.f64 (cbrt.f64 (-.f64 y x)) (.f64 (cbrt.f64 (-.f64 y x)) (/.f64 z t))))
7.8b	(cbrt.f64 (.f64 (cbrt.f64 (-.f64 y x)) (.f64 (cbrt.f64 (-.f64 y x)) (/.f64 z t))))

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

127×	`cbrt-div_binary64`
50×	`frac-times_binary64`
38×	`flip3--_binary64` `flip--_binary64`
26×	`associate-*l/_binary64`
25×	`associate-*r/_binary64` `add-sqr-sqrt_binary64`
15×	`*-un-lft-identity_binary64`
13×	`associate-r_binary64` `add-cube-cbrt_binary64`
11×	`times-frac_binary64`
10×	`cbrt-prod_binary64`
9×	`add-exp-log_binary64`
8×	`associate-l_binary64`
7×	`add-cbrt-cube_binary64`
6×	`pow1_binary64`
4×	`add-log-exp_binary64` `unswap-sqr_binary64`
3×	`pow1/3_binary64`
2×	`cbrt-unprod_binary64` `prod-exp_binary64`
1×	`pow-prod-down_binary64` `cbrt-undiv_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `div-inv_binary64` `div-exp_binary64` `*-commutative_binary64`

Counts

4 → 121

Calls

4 calls:

12.0ms	(*.f64 (cbrt.f64 (-.f64 y x)) (/.f64 z t))
15.0ms	(cbrt.f64 (.f64 (cbrt.f64 (-.f64 y x)) (.f64 (cbrt.f64 (-.f64 y x)) (/.f64 z t))))
16.0ms	(cbrt.f64 (.f64 (cbrt.f64 (-.f64 y x)) (.f64 (cbrt.f64 (-.f64 y x)) (/.f64 z t))))
16.0ms	(cbrt.f64 (.f64 (cbrt.f64 (-.f64 y x)) (.f64 (cbrt.f64 (-.f64 y x)) (/.f64 z t))))

series1.8s

Counts

4 → 12

Calls

4 calls:

374.0ms	(*.f64 (cbrt.f64 (-.f64 y x)) (/.f64 z t))
484.0ms	(cbrt.f64 (.f64 (cbrt.f64 (-.f64 y x)) (.f64 (cbrt.f64 (-.f64 y x)) (/.f64 z t))))
507.0ms	(cbrt.f64 (.f64 (cbrt.f64 (-.f64 y x)) (.f64 (cbrt.f64 (-.f64 y x)) (/.f64 z t))))
483.0ms	(cbrt.f64 (.f64 (cbrt.f64 (-.f64 y x)) (.f64 (cbrt.f64 (-.f64 y x)) (/.f64 z t))))

simplify108.0ms

Algorithm

egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4929	4187
1	4929	4187

prune162.0ms

Filtered

103 candidates to 133 candidates (-29.1%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	133	0	133
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	133	7	140

Merged error: 0.0b

Counts

140 → 7

regimes115.0ms

Accuracy

-2.8% (2.0b remaining)

Error of 2.1b against oracle of 0.0b and baseline of 2.0b

bsearch37.0ms

Steps

Iters	Range		Point
8	-5.306281691337729e-203	-1.2266419346812337e-205	-1.1392261632740454e-203
8	-1.4340727887433608e-59	-2.922138419129709e-62	-2.7844065519120805e-60

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	36	40
1	36	40

end0.0ms

sample591.0ms

Algorithm

intervals

Results

263.0ms	8000×	body	128	valid
68.0ms	2075×	body	128	invalid

Details

analyze672.0ms

sample20.0ms

simplify57.0ms

prune1.0ms

localize7.0ms

rewrite19.0ms

series204.0ms

simplify66.0ms

prune43.0ms

localize11.0ms

rewrite65.0ms

series813.0ms

simplify100.0ms

prune116.0ms

localize11.0ms

rewrite94.0ms

series1.1s

simplify103.0ms

prune142.0ms

localize16.0ms

rewrite94.0ms

series1.8s

simplify108.0ms

prune162.0ms

regimes115.0ms

bsearch37.0ms

simplify3.0ms

end0.0ms

sample591.0ms

Profiling