Details

sample157.0ms

Algorithm

intervals

Results

39.0ms	323×	body	80	nan
33.0ms	53×	body	1280	valid
24.0ms	171×	body	80	valid
11.0ms	24×	body	640	valid
8.0ms	9×	body	2560	valid
5.0ms	16×	body	320	valid
4.0ms	14×	body	160	valid

simplify23.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	33	10
1	58	10
2	82	10
3	99	10
4	107	10
5	109	10
6	109	10

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.5b

localize25.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ a (* b 3.0))
0.3b	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
0.4b	(/ (* z t) 3.0)
21.2b	(cos (- y (/ (* z t) 3.0)))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

23×	`cos-sum`
22×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
21×	`prod-diff`
19×	`add-exp-log` `add-cbrt-cube`
15×	`times-frac`
9×	`pow1`
5×	`prod-exp` `cbrt-unprod` `div-inv`
4×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `associate-/r` `log1p-expm1-u` `associate-/l` `add-log-exp`
3×	`cos-diff` `associate-r` `pow-prod-down`
2×	`frac-2neg` `clear-num`
1×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-l` `*-commutative`

Counts

4 → 101

Calls

4 calls:

3.0ms	(/ a (* b 3.0))
15.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
3.0ms	(/ (* z t) 3.0)
15.0ms	(cos (- y (/ (* z t) 3.0)))

series189.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(/ a (* b 3.0))
106.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
24.0ms	(/ (* z t) 3.0)
38.0ms	(cos (- y (/ (* z t) 3.0)))

simplify83.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 2 (68.0ms)

Iter	Nodes	Cost
0	685	1511
1	2361	1261
2	5001	1258

prune499.0ms

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 13.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.4b	(/ (* z t) 3.0)
0.4b	(/ (* z t) 3.0)
24.6b	(cos (/ (* z t) 3.0))
25.1b	(sin (- (/ (* z t) 3.0)))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-exp-log` `add-cbrt-cube`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`times-frac` `associate-/r*`
4×	`pow1` `cbrt-undiv` `expm1-log1p-u` `div-exp` `log1p-expm1-u` `add-log-exp`
2×	`frac-2neg` `prod-exp` `clear-num` `cbrt-unprod` `div-inv` `associate-/l*`
1×	`neg-sub0` `sin-neg` `sin-diff`

Counts

4 → 66

Calls

4 calls:

3.0ms	(/ (* z t) 3.0)
3.0ms	(/ (* z t) 3.0)
1.0ms	(cos (/ (* z t) 3.0))
4.0ms	(sin (- (/ (* z t) 3.0)))

series77.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(/ (* z t) 3.0)
24.0ms	(/ (* z t) 3.0)
11.0ms	(cos (/ (* z t) 3.0))
22.0ms	(sin (- (/ (* z t) 3.0)))

simplify85.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	164	317
1	637	266
2	2847	266
3	5001	266

prune541.0ms

Pruning

27 alts after pruning (27 fresh and 0 done)

Merged error: 13.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.4b	(/ (* z t) 3.0)
3.1b	(log (exp (sin (- (/ (* z t) 3.0)))))
24.6b	(cos (/ (* z t) 3.0))
25.1b	(sin (- (/ (* z t) 3.0)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-exp-log` `add-cbrt-cube`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`pow1`
4×	`expm1-log1p-u` `log-pow` `log1p-expm1-u` `add-log-exp`
3×	`log-prod` `exp-prod` `times-frac` `sin-neg` `associate-/r*`
2×	`cbrt-undiv` `neg-sub0` `exp-neg` `log-div` `div-exp` `sin-diff`
1×	`frac-2neg` `exp-diff` `rem-log-exp` `log-rec` `prod-exp` `clear-num` `cbrt-unprod` `div-inv` `associate-/l*`

Counts

4 → 63

Calls

4 calls:

3.0ms	(/ (* z t) 3.0)
10.0ms	(log (exp (sin (- (/ (* z t) 3.0)))))
1.0ms	(cos (/ (* z t) 3.0))
4.0ms	(sin (- (/ (* z t) 3.0)))

series81.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(/ (* z t) 3.0)
22.0ms	(log (exp (sin (- (/ (* z t) 3.0)))))
12.0ms	(cos (/ (* z t) 3.0))
28.0ms	(sin (- (/ (* z t) 3.0)))

simplify89.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	201	361
1	708	313
2	3177	313
3	5002	313

prune604.0ms

Pruning

26 alts after pruning (26 fresh and 0 done)

Merged error: 13.0b

localize37.0ms

Local error

Found 4 expressions with local error:

24.6b	(cos (/ (* z t) 3.0))
24.6b	(cos (/ (* z t) 3.0))
24.6b	(cos (/ (* z t) 3.0))
25.1b	(sin (- (/ (* z t) 3.0)))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

4×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
1×	`neg-sub0` `sin-neg` `sin-diff`

Counts

4 → 38

Calls

4 calls:

1.0ms	(cos (/ (* z t) 3.0))
1.0ms	(cos (/ (* z t) 3.0))
1.0ms	(cos (/ (* z t) 3.0))
4.0ms	(sin (- (/ (* z t) 3.0)))

series59.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(cos (/ (* z t) 3.0))
11.0ms	(cos (/ (* z t) 3.0))
11.0ms	(cos (/ (* z t) 3.0))
27.0ms	(sin (- (/ (* z t) 3.0)))

simplify388.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	63	239
1	122	208
2	244	208
3	478	208
4	2847	208
5	5002	208

prune407.0ms

Pruning

28 alts after pruning (28 fresh and 0 done)

Merged error: 13.0b

regimes2.9s

Accuracy

61.2% (1.8b remaining)

Error of 17.8b against oracle of 16.1b and baseline of 20.6b

bsearch3.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	60	55
1	66	55
2	66	55

end0.0ms

sample4.7s

Algorithm

intervals

Results

1.2s	9076×	body	80	nan
1.0s	1636×	body	1280	valid
714.0ms	5538×	body	80	valid
439.0ms	940×	body	640	valid
346.0ms	367×	body	2560	valid
157.0ms	442×	body	320	valid
54.0ms	215×	body	160	valid