Details

sample157.0ms

Algorithm

intervals

Results

70.0ms	68×	body	2560	valid
38.0ms	71×	body	1280	valid
18.0ms	42×	body	640	valid
4.0ms	55×	body	80	valid
2.0ms	8×	body	320	valid
2.0ms	12×	body	160	valid

simplify77.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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: 47.4b

localize22.0ms

Local error

Found 4 expressions with local error:

1.7b	(* (* (+ (* y 2.0) 1.0) z) t)
3.4b	(* (* (+ (* a 2.0) 1.0) b) t)
35.4b	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
36.1b	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

rewrite87.0ms

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:

38.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
37.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
6.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
4.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

series131.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
35.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
31.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
30.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

simplify50.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 1 (10.0ms)

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

prune335.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 43.0b

localize17.0ms

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)))
1.7b	(* (* (+ (* y 2.0) 1.0) z) t)
35.4b	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

rewrite78.0ms

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:

26.0ms	(* (+ (* y 2.0) 1.0) z)
8.0ms	(* x (cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)))
38.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
4.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

series167.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(* (+ (* y 2.0) 1.0) z)
59.0ms	(* x (cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)))
40.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
31.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

simplify42.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 1 (9.0ms)

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

prune359.0ms

Pruning

30 alts after pruning (30 fresh and 0 done)

Merged error: 41.0b

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

prune98.0ms

Pruning

30 alts after pruning (29 fresh and 1 done)

Merged error: 41.0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.1b	(* x (cos (/ (* (+ (* y 2.0) 1.0) (* z t)) 16.0)))
3.9b	(* (+ (* y 2.0) 1.0) (* z t))
35.4b	(cos (/ (* (+ (* y 2.0) 1.0) (* z t)) 16.0))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 45

Calls

3 calls:

14.0ms	(* x (cos (/ (* (+ (* y 2.0) 1.0) (* z t)) 16.0)))
43.0ms	(* (+ (* y 2.0) 1.0) (* z t))
4.0ms	(cos (/ (* (+ (* y 2.0) 1.0) (* z t)) 16.0))

series128.0ms

Counts

3 → 9

Calls

3 calls:

58.0ms	(* x (cos (/ (* (+ (* y 2.0) 1.0) (* z t)) 16.0)))
38.0ms	(* (+ (* y 2.0) 1.0) (* z t))
31.0ms	(cos (/ (* (+ (* y 2.0) 1.0) (* z t)) 16.0))

simplify96.0ms

Algorithm

egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	244	417
1	992	343
2	3799	343
3	5001	343

prune137.0ms

Pruning

31 alts after pruning (30 fresh and 1 done)

Merged error: 41.0b

regimes1.7s

Accuracy

0% (4.3b remaining)

Error of 43.9b against oracle of 39.7b and baseline of 43.9b

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

sample4.4s

Algorithm

intervals

Results

1.9s	1787×	body	2560	valid
1.2s	2228×	body	1280	valid
414.0ms	1191×	body	640	valid
168.0ms	1917×	body	80	valid
141.0ms	560×	body	320	valid
99.0ms	41×	body	5120	valid
47.0ms	276×	body	160	valid