Details

sample96.0ms

Algorithm

intervals

Results

19.0ms	285×	body	80	nan
18.0ms	38×	body	1280	valid
12.0ms	197×	body	80	valid
8.0ms	31×	body	640	valid
6.0ms	9×	body	2560	valid
3.0ms	16×	body	320	valid
1.0ms	4×	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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.3b

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (* z t) 3.0)
0.2b	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
0.5b	(/ a (* b 3.0))
20.8b	(cos (- y (/ (* z t) 3.0)))

rewrite25.0ms

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:

3.0ms	(/ (* z t) 3.0)
10.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
3.0ms	(/ a (* b 3.0))
7.0ms	(cos (- y (/ (* z t) 3.0)))

series165.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(/ (* z t) 3.0)
97.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
18.0ms	(/ a (* b 3.0))
33.0ms	(cos (- y (/ (* z t) 3.0)))

simplify43.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (37.0ms)

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

prune321.0ms

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 13.7b

localize26.0ms

Local error

Found 4 expressions with local error:

0.5b	(/ a (* b 3.0))
1.9b	(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
26.1b	(cos (/ (* z t) 3.0))
26.4b	(sin (/ (* z t) 3.0))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-exp-log` `add-cbrt-cube`
16×	`pow1`
9×	`prod-exp` `cbrt-unprod`
8×	`pow-prod-down`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`add-log-exp`
3×	`times-frac` `associate-/l*`
2×	`cbrt-undiv` `div-exp`
1×	`frac-2neg` `associate-r/` `associate-r` `associate-l` `clear-num` `associate-/r` `*-commutative` `div-inv` `sin-mult`

Counts

4 → 58

Calls

4 calls:

3.0ms	(/ a (* b 3.0))
14.0ms	(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
1.0ms	(cos (/ (* z t) 3.0))
1.0ms	(sin (/ (* z t) 3.0))

series184.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(/ a (* b 3.0))
128.0ms	(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
13.0ms	(cos (/ (* z t) 3.0))
16.0ms	(sin (/ (* z t) 3.0))

simplify54.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	306	482
1	1150	381
2	5001	379

prune484.0ms

Pruning

28 alts after pruning (28 fresh and 0 done)

Merged error: 13.6b

localize28.0ms

Local error

Found 4 expressions with local error:

0.5b	(/ a (* b 3.0))
1.9b	(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
26.4b	(sin (/ (* z t) 3.0))
26.5b	(cos (* 0.3333333333333333 (* t z)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-exp-log` `add-cbrt-cube`
16×	`pow1`
9×	`prod-exp` `cbrt-unprod`
8×	`pow-prod-down`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`add-log-exp`
3×	`times-frac` `associate-/l*`
2×	`cbrt-undiv` `div-exp`
1×	`frac-2neg` `associate-r/` `associate-r` `associate-l` `clear-num` `associate-/r` `*-commutative` `div-inv` `sin-mult`

Counts

4 → 58

Calls

4 calls:

3.0ms	(/ a (* b 3.0))
14.0ms	(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
1.0ms	(sin (/ (* z t) 3.0))
4.0ms	(cos (* 0.3333333333333333 (* t z)))

series141.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(/ a (* b 3.0))
92.0ms	(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
15.0ms	(sin (/ (* z t) 3.0))
10.0ms	(cos (* 0.3333333333333333 (* t z)))

simplify38.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	305	482
1	1147	381
2	5001	379

prune612.0ms

Pruning

28 alts after pruning (28 fresh and 0 done)

Merged error: 13.6b

localize26.0ms

Local error

Found 4 expressions with local error:

0.5b	(/ a (* b 3.0))
1.9b	(* (* 2.0 (sqrt x)) (* (sin y) (sin (* 0.3333333333333333 (* t z)))))
26.5b	(sin (* 0.3333333333333333 (* t z)))
26.5b	(cos (* 0.3333333333333333 (* t z)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-exp-log` `add-cbrt-cube`
16×	`pow1`
9×	`prod-exp` `cbrt-unprod`
8×	`pow-prod-down`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`add-log-exp`
3×	`times-frac` `associate-/l*`
2×	`cbrt-undiv` `div-exp`
1×	`frac-2neg` `associate-r/` `associate-r` `associate-l` `clear-num` `associate-/r` `*-commutative` `div-inv` `sin-mult`

Counts

4 → 58

Calls

4 calls:

3.0ms	(/ a (* b 3.0))
23.0ms	(* (* 2.0 (sqrt x)) (* (sin y) (sin (* 0.3333333333333333 (* t z)))))
4.0ms	(sin (* 0.3333333333333333 (* t z)))
4.0ms	(cos (* 0.3333333333333333 (* t z)))

series139.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(/ a (* b 3.0))
92.0ms	(* (* 2.0 (sqrt x)) (* (sin y) (sin (* 0.3333333333333333 (* t z)))))
19.0ms	(sin (* 0.3333333333333333 (* t z)))
10.0ms	(cos (* 0.3333333333333333 (* t z)))

simplify40.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	299	482
1	1146	381
2	5001	379

prune290.0ms

Pruning

28 alts after pruning (28 fresh and 0 done)

Merged error: 13.6b

regimes2.5s

Accuracy

63.3% (1.4b remaining)

Error of 17.7b against oracle of 16.3b and baseline of 20.2b

bsearch3.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	33
1	56	33
2	56	33

end0.0ms

sample3.0s

Algorithm

intervals

Results

660.0ms	1637×	body	1280	valid
630.0ms	9076×	body	80	nan
358.0ms	5544×	body	80	valid
274.0ms	938×	body	640	valid
258.0ms	381×	body	2560	valid
84.0ms	401×	body	320	valid
28.0ms	199×	body	160	valid