Details

sample153.0ms

Algorithm

intervals

Results

54.0ms	49×	body	2560	valid
44.0ms	71×	body	1280	valid
21.0ms	42×	body	640	valid
7.0ms	76×	body	80	valid
3.0ms	10×	body	320	valid
3.0ms	1×	body	5120	valid
1.0ms	7×	body	160	valid

simplify87.0ms

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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 42.4b

localize22.0ms

Local error

Found 4 expressions with local error:

1.5b	(* (* (+ (* y 2.0) 1.0) z) t)
3.6b	(* (* (+ (* a 2.0) 1.0) b) t)
30.6b	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
33.5b	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

rewrite39.0ms

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

series146.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify50.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 1 (11.0ms)

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

prune323.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 37.5b

localize13.0ms

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)))
1.5b	(* (* (+ (* y 2.0) 1.0) z) t)
30.6b	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

rewrite34.0ms

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:

10.0ms	(* (+ (* y 2.0) 1.0) z)
3.0ms	(* x (cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)))
17.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
2.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

series192.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(* (+ (* y 2.0) 1.0) z)
64.0ms	(* x (cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)))
56.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
32.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

simplify40.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 1 (8.0ms)

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

prune328.0ms

Pruning

34 alts after pruning (34 fresh and 0 done)

Merged error: 36.4b

localize2.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify3.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune118.0ms

Pruning

34 alts after pruning (33 fresh and 1 done)

Merged error: 36.4b

localize17.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (+ (* y 2.0) 1.0))
0.3b	(cbrt (+ (* y 2.0) 1.0))
1.5b	(* (* (* (cbrt (+ (* y 2.0) 1.0)) (cbrt (+ (* y 2.0) 1.0))) (* (cbrt (+ (* y 2.0) 1.0)) z)) t)
30.5b	(cos (/ (* (* (* (cbrt (+ (* y 2.0) 1.0)) (cbrt (+ (* y 2.0) 1.0))) (* (cbrt (+ (* y 2.0) 1.0)) z)) t) 16.0))

rewrite172.0ms

Algorithm

rewrite-expression-head

Rules

58×	`cbrt-div` `associate-*l/`
29×	`flip3-+` `flip-+`
28×	`frac-times`
22×	`pow1` `add-exp-log`
16×	`add-cbrt-cube`
13×	`pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`associate-*r/`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`cbrt-prod`
4×	`add-log-exp`
3×	`associate-r`
2×	`pow1/3`
1×	`associate-l` `*-commutative`

Counts

4 → 86

Calls

4 calls:

2.0ms	(cbrt (+ (* y 2.0) 1.0))
3.0ms	(cbrt (+ (* y 2.0) 1.0))
160.0ms	(* (* (* (cbrt (+ (* y 2.0) 1.0)) (cbrt (+ (* y 2.0) 1.0))) (* (cbrt (+ (* y 2.0) 1.0)) z)) t)
2.0ms	(cos (/ (* (* (* (cbrt (+ (* y 2.0) 1.0)) (cbrt (+ (* y 2.0) 1.0))) (* (cbrt (+ (* y 2.0) 1.0)) z)) t) 16.0))

series309.0ms

Counts

4 → 12

Calls

4 calls:

118.0ms	(cbrt (+ (* y 2.0) 1.0))
115.0ms	(cbrt (+ (* y 2.0) 1.0))
39.0ms	(* (* (* (cbrt (+ (* y 2.0) 1.0)) (cbrt (+ (* y 2.0) 1.0))) (* (cbrt (+ (* y 2.0) 1.0)) z)) t)
36.0ms	(cos (/ (* (* (* (cbrt (+ (* y 2.0) 1.0)) (cbrt (+ (* y 2.0) 1.0))) (* (cbrt (+ (* y 2.0) 1.0)) z)) t) 16.0))

simplify74.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	686	1488
1	2558	1245
2	5001	1134

prune369.0ms

Pruning

42 alts after pruning (41 fresh and 1 done)

Merged error: 36.2b

regimes2.6s

Accuracy

0% (4.5b remaining)

Error of 44.4b against oracle of 39.9b and baseline of 44.4b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	0
1	8	0
2	8	0

end0.0ms

sample4.7s

Algorithm

intervals

Results

2.1s	1858×	body	2560	valid
1.4s	2264×	body	1280	valid
439.0ms	1118×	body	640	valid
165.0ms	1900×	body	80	valid
162.0ms	562×	body	320	valid
117.0ms	43×	body	5120	valid
52.0ms	255×	body	160	valid