Details

sample231.0ms

Algorithm

intervals

Results

97.0ms	70×	body	2560	valid
60.0ms	72×	body	1280	valid
24.0ms	34×	body	640	valid
8.0ms	54×	body	80	valid
8.0ms	18×	body	320	valid
6.0ms	2×	body	5120	valid
2.0ms	6×	body	160	valid

simplify109.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	44	14
1	103	14
2	234	14
3	450	14
4	800	14
5	1136	14
6	1376	14
7	1482	14
8	1676	14
9	1712	14
10	1712	14

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 48.0b

localize27.0ms

Local error

Found 4 expressions with local error:

1.7b	(* (* (+ (* a 2.0) 1.0) b) t)
2.9b	(* (* (+ (* y 2.0) 1.0) z) t)
35.3b	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))
38.8b	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

rewrite40.0ms

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×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`flip3-+` `associate-l` `*-commutative` `flip-+`

Counts

4 → 62

Calls

4 calls:

19.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
16.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
2.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))
2.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

series171.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
48.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
38.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))
38.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

simplify62.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	387	460
1	1897	378
2	5001	372

prune431.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 42.8b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ (* a 2.0) 1.0) b)
0.2b	(* (* x (cos (/ 0 16.0))) (cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)))
1.7b	(* (* (+ (* a 2.0) 1.0) b) t)
35.3b	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1` `add-exp-log` `add-cbrt-cube`
10×	`add-sqr-sqrt`
9×	`associate-r`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`associate-*l/`
5×	`associate-l`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative`
2×	`flip3-+` `flip-+`
1×	`unswap-sqr`

Counts

4 → 73

Calls

4 calls:

11.0ms	(* (+ (* a 2.0) 1.0) b)
7.0ms	(* (* x (cos (/ 0 16.0))) (cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)))
18.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
2.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

series206.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(* (+ (* a 2.0) 1.0) b)
74.0ms	(* (* x (cos (/ 0 16.0))) (cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)))
48.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
39.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

simplify54.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	331	633
1	1459	498
2	5001	467

prune438.0ms

Pruning

31 alts after pruning (31 fresh and 0 done)

Merged error: 40.9b

localize1.0ms

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

prune125.0ms

Pruning

31 alts after pruning (30 fresh and 1 done)

Merged error: 40.9b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0)
0.2b	(* (* x (cos (/ 0 16.0))) (cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0)))
1.7b	(* (+ (* a 2.0) 1.0) (* b t))
35.3b	(cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-exp-log` `add-cbrt-cube`
14×	`pow1`
9×	`prod-exp` `cbrt-unprod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`pow-prod-down`
4×	`expm1-log1p-u` `associate-r` `associate-l` `associate-*l/` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `times-frac` `div-exp` `associate-/r*`
2×	`flip3-+` `*-commutative` `flip-+` `associate-/l/`
1×	`frac-2neg` `clear-num` `div-inv` `associate-/l*`

Counts

4 → 78

Calls

4 calls:

10.0ms	(/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0)
7.0ms	(* (* x (cos (/ 0 16.0))) (cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0)))
14.0ms	(* (+ (* a 2.0) 1.0) (* b t))
2.0ms	(cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0))

series214.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0)
78.0ms	(* (* x (cos (/ 0 16.0))) (cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0)))
44.0ms	(* (+ (* a 2.0) 1.0) (* b t))
41.0ms	(cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0))

simplify86.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 2 (76.0ms)

Iter	Nodes	Cost
0	421	729
1	1935	565
2	5002	540

prune310.0ms

Pruning

35 alts after pruning (34 fresh and 1 done)

Merged error: 40.7b

regimes2.1s

Accuracy

0% (4.5b remaining)

Error of 44.2b against oracle of 39.7b and baseline of 44.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	0

end0.0ms

sample6.2s

Algorithm

intervals

Results

2.4s	1778×	body	2560	valid
1.9s	2292×	body	1280	valid
687.0ms	1154×	body	640	valid
297.0ms	1898×	body	80	valid
256.0ms	566×	body	320	valid
127.0ms	45×	body	5120	valid
85.0ms	267×	body	160	valid