Details

sample150.0ms

Algorithm

intervals

Results

56.0ms	52×	body	2560	valid
44.0ms	79×	body	1280	valid
17.0ms	48×	body	640	valid
6.0ms	21×	body	320	valid
4.0ms	48×	body	80	valid
3.0ms	1×	body	5120	valid
1.0ms	7×	body	160	valid

simplify77.0ms

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

prune4.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 49.3b

localize26.0ms

Local error

Found 4 expressions with local error:

1.5b	(* (* (+ (* a 2.0) 1.0) b) t)
2.7b	(* (* (+ (* y 2.0) 1.0) z) t)
34.2b	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))
38.0b	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 54

Calls

4 calls:

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

series150.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
39.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
33.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))
37.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

simplify47.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	371	438
1	1835	354
2	5001	354

prune325.0ms

Filtered

66 candidates to 50 candidates (75.8%)

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 43.9b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ (* y 2.0) 1.0) z)
0.2b	(* x (cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)))
2.7b	(* (* (+ (* y 2.0) 1.0) z) t)
38.0b	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

13×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cbrt-cube`
9×	`add-cube-cbrt` `-un-lft-identity` `associate-r*`
7×	`associate-l`
6×	`associate-*l/`
5×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`add-log-exp`
3×	`*-commutative`
2×	`flip3-+` `flip-+` `unswap-sqr`

Counts

4 → 65

Calls

4 calls:

11.0ms	(* (+ (* y 2.0) 1.0) z)
3.0ms	(* x (cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)))
16.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
2.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

series185.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(* (+ (* y 2.0) 1.0) z)
72.0ms	(* x (cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)))
40.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
37.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

simplify45.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	283	530
1	1350	439
2	5001	439

prune305.0ms

Filtered

77 candidates to 54 candidates (70.1%)

Pruning

31 alts after pruning (31 fresh and 0 done)

Merged error: 42.2b

localize5.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify2.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0

prune105.0ms

Pruning

31 alts after pruning (30 fresh and 1 done)

Merged error: 42.2b

localize17.0ms

Local error

Found 4 expressions with local error:

16.6b	(cbrt (* (* (+ (* y 2.0) 1.0) z) t))
16.6b	(cbrt (* (* (+ (* y 2.0) 1.0) z) t))
16.6b	(cbrt (* (* (+ (* y 2.0) 1.0) z) t))
37.9b	(cos (/ (* (* (cbrt (* (* (+ (* y 2.0) 1.0) z) t)) (cbrt (* (* (+ (* y 2.0) 1.0) z) t))) (cbrt (* (* (+ (* y 2.0) 1.0) z) t))) 16.0))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

12×	`associate-*l/`
6×	`cbrt-div`
4×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `add-log-exp`
3×	`cbrt-prod` `flip3-+` `pow1/3` `flip-+`

Counts

4 → 40

Calls

4 calls:

16.0ms	(cbrt (* (* (+ (* y 2.0) 1.0) z) t))
13.0ms	(cbrt (* (* (+ (* y 2.0) 1.0) z) t))
13.0ms	(cbrt (* (* (+ (* y 2.0) 1.0) z) t))
1.0ms	(cos (/ (* (* (cbrt (* (* (+ (* y 2.0) 1.0) z) t)) (cbrt (* (* (+ (* y 2.0) 1.0) z) t))) (cbrt (* (* (+ (* y 2.0) 1.0) z) t))) 16.0))

series449.0ms

Counts

4 → 12

Calls

4 calls:

140.0ms	(cbrt (* (* (+ (* y 2.0) 1.0) z) t))
135.0ms	(cbrt (* (* (+ (* y 2.0) 1.0) z) t))
140.0ms	(cbrt (* (* (+ (* y 2.0) 1.0) z) t))
34.0ms	(cos (/ (* (* (cbrt (* (* (+ (* y 2.0) 1.0) z) t)) (cbrt (* (* (+ (* y 2.0) 1.0) z) t))) (cbrt (* (* (+ (* y 2.0) 1.0) z) t))) 16.0))

simplify63.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 2 (18.0ms)

Iter	Nodes	Cost
0	263	830
1	749	758
2	2631	752
3	5003	752

prune264.0ms

Filtered

52 candidates to 51 candidates (98.1%)

Pruning

41 alts after pruning (40 fresh and 1 done)

Merged error: 42.1b

regimes2.2s

Accuracy

0% (4.3b remaining)

Error of 44.3b against oracle of 40.0b and baseline of 44.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	3
1	13	3
2	13	3

end0.0ms

sample4.7s

Algorithm

intervals

Results

2.0s	1842×	body	2560	valid
1.3s	2210×	body	1280	valid
458.0ms	1188×	body	640	valid
168.0ms	1900×	body	80	valid
154.0ms	552×	body	320	valid
121.0ms	46×	body	5120	valid
48.0ms	262×	body	160	valid