Details

sample155.0ms

Algorithm

intervals

Results

64.0ms	55×	body	2560	valid
45.0ms	77×	body	1280	valid
12.0ms	31×	body	640	valid
5.0ms	64×	body	80	valid
5.0ms	17×	body	320	valid
2.0ms	12×	body	160	valid

simplify112.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	42	14
1	99	14
2	222	14
3	402	14
4	676	14
5	928	14
6	1116	14
7	1206	14
8	1368	14
9	1380	14
10	1380	14

prune5.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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: 44.9b

Counts

2 → 1

localize28.0ms

Local error

Found 4 expressions with local error:

2.0b	(* (* (+ (* a 2.0) 1.0) b) t)
2.9b	(* (* (+ (* y 2.0) 1.0) z) t)
32.7b	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))
35.1b	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

40×	`associate-l`
26×	`add-sqr-sqrt`
20×	`*-un-lft-identity`
14×	`pow1` `add-exp-log` `add-cbrt-cube`
12×	`add-cube-cbrt` `associate-r`
8×	`associate-*l/` `unswap-sqr`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`*-commutative` `distribute-lft-out` `add-log-exp`
2×	`flip3-+` `flip-+`

Counts

4 → 84

Calls

4 calls:

18.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
15.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
20.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))
21.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

series167.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
48.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
36.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))
36.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

simplify76.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 1 (19.0ms)

Iter	Nodes	Cost
0	437	590
1	1927	506
2	5002	506

prune448.0ms

Filtered

96 candidates to 74 candidates (22.9%)

Pruning

24 alts after pruning (24 fresh and 0 done)

	Pruned	Kept	Total
New	72	24	96
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	73	24	97

Merged error: 40.3b

Counts

97 → 24

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ (* y 2.0) 1.0) z)
0.1b	(* x (cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)))
2.9b	(* (* (+ (* y 2.0) 1.0) z) t)
35.1b	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

29×	`associate-l`
23×	`add-sqr-sqrt`
20×	`*-un-lft-identity`
13×	`pow1` `add-exp-log` `add-cbrt-cube`
12×	`add-cube-cbrt` `associate-r`
6×	`associate-*l/` `unswap-sqr`
5×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`*-commutative` `distribute-lft-out` `add-log-exp`
2×	`flip3-+` `flip-+`

Counts

4 → 82

Calls

4 calls:

14.0ms	(* (+ (* y 2.0) 1.0) z)
18.0ms	(* x (cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)))
15.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
20.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

series195.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(* (+ (* y 2.0) 1.0) z)
70.0ms	(* x (cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)))
46.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
36.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

simplify50.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	303	612
1	1388	521
2	5001	521

prune329.0ms

Filtered

94 candidates to 66 candidates (29.8%)

Pruning

37 alts after pruning (37 fresh and 0 done)

	Pruned	Kept	Total
New	74	20	94
Fresh	6	17	23
Picked	1	0	1
Done	0	0	0
Total	81	37	118

Merged error: 38.9b

Counts

118 → 37

localize22.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (+ (* y 2.0) 1.0)) (cbrt (+ (* y 2.0) 1.0)))
0.3b	(* (* (cbrt (+ (* y 2.0) 1.0)) z) t)
0.4b	(* (* (cbrt (+ (* y 2.0) 1.0)) (cbrt (+ (* y 2.0) 1.0))) (* (* (cbrt (+ (* y 2.0) 1.0)) z) t))
35.1b	(cos (/ (* (* (cbrt (+ (* y 2.0) 1.0)) (cbrt (+ (* y 2.0) 1.0))) (* (* (cbrt (+ (* y 2.0) 1.0)) z) t)) 16.0))

rewrite197.0ms

Algorithm

rewrite-expression-head

Rules

205×	`add-sqr-sqrt`
125×	`associate-l`
119×	`cbrt-prod` `unswap-sqr`
112×	`*-un-lft-identity`
75×	`add-cbrt-cube`
70×	`cbrt-unprod`
68×	`cbrt-div`
57×	`associate-r`
56×	`associate-*l/`
37×	`pow1`
36×	`swap-sqr` `distribute-lft-out`
34×	`flip3-+` `flip-+`
32×	`add-exp-log` `frac-times` `add-cube-cbrt`
20×	`pow-prod-down`
19×	`prod-exp`
11×	`*-commutative`
10×	`associate-*r/`
6×	`pow1/3`
4×	`add-log-exp`
2×	`pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus`

Counts

4 → 281

Calls

4 calls:

20.0ms	(* (cbrt (+ (* y 2.0) 1.0)) (cbrt (+ (* y 2.0) 1.0)))
16.0ms	(* (* (cbrt (+ (* y 2.0) 1.0)) z) t)
62.0ms	(* (* (cbrt (+ (* y 2.0) 1.0)) (cbrt (+ (* y 2.0) 1.0))) (* (* (cbrt (+ (* y 2.0) 1.0)) z) t))
82.0ms	(cos (/ (* (* (cbrt (+ (* y 2.0) 1.0)) (cbrt (+ (* y 2.0) 1.0))) (* (* (cbrt (+ (* y 2.0) 1.0)) z) t)) 16.0))

series481.0ms

Counts

4 → 12

Calls

4 calls:

145.0ms	(* (cbrt (+ (* y 2.0) 1.0)) (cbrt (+ (* y 2.0) 1.0)))
248.0ms	(* (* (cbrt (+ (* y 2.0) 1.0)) z) t)
44.0ms	(* (* (cbrt (+ (* y 2.0) 1.0)) (cbrt (+ (* y 2.0) 1.0))) (* (* (cbrt (+ (* y 2.0) 1.0)) z) t))
43.0ms	(cos (/ (* (* (cbrt (+ (* y 2.0) 1.0)) (cbrt (+ (* y 2.0) 1.0))) (* (* (cbrt (+ (* y 2.0) 1.0)) z) t)) 16.0))

simplify82.0ms

Algorithm

egg-herbie

Counts

293 → 293

Iterations

Useful iterations: 1 (34.0ms)

Iter	Nodes	Cost
0	1159	4767
1	5001	3995

prune825.0ms

Filtered

293 candidates to 159 candidates (45.7%)

Pruning

44 alts after pruning (44 fresh and 0 done)

	Pruned	Kept	Total
New	276	17	293
Fresh	9	27	36
Picked	1	0	1
Done	0	0	0
Total	286	44	330

Merged error: 38.7b

Counts

330 → 44

localize21.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (cbrt (+ (* y 2.0) 1.0))) (cbrt (cbrt (+ (* y 2.0) 1.0))))
0.4b	(* (* (cbrt (cbrt (+ (* y 2.0) 1.0))) (cbrt (cbrt (+ (* y 2.0) 1.0)))) (* (* (cbrt (cbrt (+ (* y 2.0) 1.0))) z) t))
0.4b	(* (* (cbrt (+ (* y 2.0) 1.0)) (cbrt (+ (* y 2.0) 1.0))) (* (* (cbrt (cbrt (+ (* y 2.0) 1.0))) (cbrt (cbrt (+ (* y 2.0) 1.0)))) (* (* (cbrt (cbrt (+ (* y 2.0) 1.0))) z) t)))
34.7b	(cos (/ (* (* (cbrt (+ (* y 2.0) 1.0)) (cbrt (+ (* y 2.0) 1.0))) (* (* (cbrt (cbrt (+ (* y 2.0) 1.0))) (cbrt (cbrt (+ (* y 2.0) 1.0)))) (* (* (cbrt (cbrt (+ (* y 2.0) 1.0))) z) t))) 16.0))

rewrite991.0ms

Algorithm

rewrite-expression-head

Rules

4514×	`add-sqr-sqrt`
3514×	`unswap-sqr`
2627×	`cbrt-prod`
1428×	`cbrt-div`
600×	`frac-times`
564×	`associate-*l/`
559×	`cbrt-unprod`
478×	`add-cbrt-cube`
438×	`flip3-+` `flip-+`
382×	`swap-sqr`
288×	`associate-r`
286×	`associate-l`
218×	`*-un-lft-identity`
162×	`associate-*r/`
142×	`*-commutative`
97×	`pow1`
92×	`add-exp-log`
68×	`pow-prod-down` `distribute-lft-out`
67×	`prod-exp`
66×	`add-cube-cbrt`
6×	`pow1/3`
4×	`add-log-exp`
2×	`pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus`

Counts

4 → 1585

Calls

4 calls:

27.0ms	(* (cbrt (cbrt (+ (* y 2.0) 1.0))) (cbrt (cbrt (+ (* y 2.0) 1.0))))
76.0ms	(* (* (cbrt (cbrt (+ (* y 2.0) 1.0))) (cbrt (cbrt (+ (* y 2.0) 1.0)))) (* (* (cbrt (cbrt (+ (* y 2.0) 1.0))) z) t))
207.0ms	(* (* (cbrt (+ (* y 2.0) 1.0)) (cbrt (+ (* y 2.0) 1.0))) (* (* (cbrt (cbrt (+ (* y 2.0) 1.0))) (cbrt (cbrt (+ (* y 2.0) 1.0)))) (* (* (cbrt (cbrt (+ (* y 2.0) 1.0))) z) t)))
421.0ms	(cos (/ (* (* (cbrt (+ (* y 2.0) 1.0)) (cbrt (+ (* y 2.0) 1.0))) (* (* (cbrt (cbrt (+ (* y 2.0) 1.0))) (cbrt (cbrt (+ (* y 2.0) 1.0)))) (* (* (cbrt (cbrt (+ (* y 2.0) 1.0))) z) t))) 16.0))

series494.0ms

Counts

4 → 12

Calls

4 calls:

147.0ms	(* (cbrt (cbrt (+ (* y 2.0) 1.0))) (cbrt (cbrt (+ (* y 2.0) 1.0))))
255.0ms	(* (* (cbrt (cbrt (+ (* y 2.0) 1.0))) (cbrt (cbrt (+ (* y 2.0) 1.0)))) (* (* (cbrt (cbrt (+ (* y 2.0) 1.0))) z) t))
53.0ms	(* (* (cbrt (+ (* y 2.0) 1.0)) (cbrt (+ (* y 2.0) 1.0))) (* (* (cbrt (cbrt (+ (* y 2.0) 1.0))) (cbrt (cbrt (+ (* y 2.0) 1.0)))) (* (* (cbrt (cbrt (+ (* y 2.0) 1.0))) z) t)))
38.0ms	(cos (/ (* (* (cbrt (+ (* y 2.0) 1.0)) (cbrt (+ (* y 2.0) 1.0))) (* (* (cbrt (cbrt (+ (* y 2.0) 1.0))) (cbrt (cbrt (+ (* y 2.0) 1.0)))) (* (* (cbrt (cbrt (+ (* y 2.0) 1.0))) z) t))) 16.0))

simplify569.0ms

Algorithm

egg-herbie

Counts

1597 → 1597

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5001	66173

prune4.2s

Filtered

1597 candidates to 672 candidates (57.9%)

Pruning

51 alts after pruning (51 fresh and 0 done)

	Pruned	Kept	Total
New	1583	14	1597
Fresh	6	37	43
Picked	1	0	1
Done	0	0	0
Total	1590	51	1641

Merged error: 38.6b

Counts

1641 → 51

regimes3.4s

Accuracy

0% (5.7b remaining)

Error of 45.3b against oracle of 39.6b and baseline of 45.3b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	29
1	36	29
2	36	29

end0.0ms

sample4.8s

Algorithm

intervals

Results

2.2s	1859×	body	2560	valid
1.3s	2234×	body	1280	valid
432.0ms	1169×	body	640	valid
159.0ms	1892×	body	80	valid
145.0ms	537×	body	320	valid
83.0ms	31×	body	5120	valid
49.0ms	278×	body	160	valid