Details

sample99.0ms

Algorithm

intervals

Results

21.0ms	54×	body	1280	valid
20.0ms	301×	body	80	nan
10.0ms	172×	body	80	valid
9.0ms	14×	body	2560	valid
7.0ms	28×	body	640	valid
3.0ms	13×	body	320	valid
1.0ms	7×	body	160	valid

simplify13.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	32	10
1	55	10
2	76	10
3	89	10
4	92	10
5	92	10

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 20.5b

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ a (* b 3.0))
0.2b	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
0.4b	(/ (* z t) 3.0)
25.5b	(cos (- y (/ (* z t) 3.0)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

4.0ms	(/ a (* b 3.0))
6.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
4.0ms	(/ (* z t) 3.0)
5.0ms	(cos (- y (/ (* z t) 3.0)))

series161.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(/ a (* b 3.0))
95.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
17.0ms	(/ (* z t) 3.0)
32.0ms	(cos (- y (/ (* z t) 3.0)))

simplify44.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	404	507
1	1689	429
2	5001	426

prune347.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 17.4b

localize24.0ms

Local error

Found 4 expressions with local error:

0.4b	(/ (* z t) 3.0)
0.4b	(/ (* z t) 3.0)
30.0b	(cos (/ (* z t) 3.0))
30.1b	(sin (/ (* z t) 3.0))

rewrite14.0ms

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` `div-exp` `add-log-exp`
2×	`frac-2neg` `prod-exp` `clear-num` `cbrt-unprod` `div-inv` `associate-/l*`

Counts

4 → 56

Calls

4 calls:

4.0ms	(/ (* z t) 3.0)
4.0ms	(/ (* z t) 3.0)
2.0ms	(cos (/ (* z t) 3.0))
2.0ms	(sin (/ (* z t) 3.0))

series61.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(/ (* z t) 3.0)
20.0ms	(/ (* z t) 3.0)
9.0ms	(cos (/ (* z t) 3.0))
15.0ms	(sin (/ (* z t) 3.0))

simplify73.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	136	264
1	557	220
2	2545	220
3	5001	220

prune405.0ms

Pruning

25 alts after pruning (25 fresh and 0 done)

Merged error: 17.1b

localize30.0ms

Local error

Found 4 expressions with local error:

13.6b	(cbrt (/ (* z t) 3.0))
13.6b	(cbrt (/ (* z t) 3.0))
30.1b	(cos (* (* (cbrt (/ (* z t) 3.0)) (cbrt (/ (* z t) 3.0))) (cbrt (/ (* z t) 3.0))))
30.1b	(sin (/ (* z t) 3.0))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

14×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`times-frac`
4×	`pow1` `add-exp-log` `add-cbrt-cube` `add-log-exp`
2×	`cbrt-div` `pow1/3` `div-inv`

Counts

4 → 46

Calls

4 calls:

3.0ms	(cbrt (/ (* z t) 3.0))
3.0ms	(cbrt (/ (* z t) 3.0))
4.0ms	(cos (* (* (cbrt (/ (* z t) 3.0)) (cbrt (/ (* z t) 3.0))) (cbrt (/ (* z t) 3.0))))
2.0ms	(sin (/ (* z t) 3.0))

series464.0ms

Counts

4 → 12

Calls

4 calls:

290.0ms	(cbrt (/ (* z t) 3.0))
100.0ms	(cbrt (/ (* z t) 3.0))
58.0ms	(cos (* (* (cbrt (/ (* z t) 3.0)) (cbrt (/ (* z t) 3.0))) (cbrt (/ (* z t) 3.0))))
16.0ms	(sin (/ (* z t) 3.0))

simplify192.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 5 (187.0ms)

Iter	Nodes	Cost
0	135	412
1	253	366
2	558	350
3	1411	346
4	4438	334
5	5002	332

prune480.0ms

Pruning

36 alts after pruning (36 fresh and 0 done)

Merged error: 17.0b

localize38.0ms

Local error

Found 4 expressions with local error:

13.6b	(cbrt (/ (* z t) 3.0))
13.6b	(cbrt (/ (* z t) 3.0))
30.1b	(sin (/ (* z t) 3.0))
30.1b	(cos (* (* (cbrt (/ (* z t) 3.0)) (cbrt (/ (* z t) 3.0))) (* (* (cbrt (cbrt (/ (* z t) 3.0))) (cbrt (cbrt (/ (* z t) 3.0)))) (cbrt (cbrt (/ (* z t) 3.0))))))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

14×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`times-frac`
4×	`pow1` `add-exp-log` `add-cbrt-cube` `add-log-exp`
2×	`cbrt-div` `pow1/3` `div-inv`

Counts

4 → 46

Calls

4 calls:

3.0ms	(cbrt (/ (* z t) 3.0))
3.0ms	(cbrt (/ (* z t) 3.0))
2.0ms	(sin (/ (* z t) 3.0))
7.0ms	(cos (* (* (cbrt (/ (* z t) 3.0)) (cbrt (/ (* z t) 3.0))) (* (* (cbrt (cbrt (/ (* z t) 3.0))) (cbrt (cbrt (/ (* z t) 3.0)))) (cbrt (cbrt (/ (* z t) 3.0))))))

series254.0ms

Counts

4 → 12

Calls

4 calls:

90.0ms	(cbrt (/ (* z t) 3.0))
95.0ms	(cbrt (/ (* z t) 3.0))
15.0ms	(sin (/ (* z t) 3.0))
54.0ms	(cos (* (* (cbrt (/ (* z t) 3.0)) (cbrt (/ (* z t) 3.0))) (* (* (cbrt (cbrt (/ (* z t) 3.0))) (cbrt (cbrt (/ (* z t) 3.0)))) (cbrt (cbrt (/ (* z t) 3.0))))))

simplify61.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 4 (55.0ms)

Iter	Nodes	Cost
0	143	522
1	279	454
2	615	438
3	1626	434
4	5001	422

prune381.0ms

Pruning

36 alts after pruning (36 fresh and 0 done)

Merged error: 16.9b

regimes3.5s

Accuracy

49.4% (2.0b remaining)

Error of 17.7b against oracle of 15.7b and baseline of 19.6b

bsearch4.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	54
1	62	54

end0.0ms

sample2.9s

Algorithm

intervals

Results

652.0ms	1553×	body	1280	valid
549.0ms	8985×	body	80	nan
365.0ms	5669×	body	80	valid
279.0ms	974×	body	640	valid
250.0ms	365×	body	2560	valid
77.0ms	381×	body	320	valid
33.0ms	205×	body	160	valid