Details

sample101.0ms

Algorithm

intervals

Results

27.0ms	77×	body	1280	valid
20.0ms	285×	body	80	nan
9.0ms	164×	body	80	valid
5.0ms	22×	body	640	valid
5.0ms	7×	body	2560	valid
1.0ms	8×	body	320	valid
1.0ms	6×	body	160	valid

simplify11.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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: 23.1b

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (* z t) 3.0)
0.2b	(/ a (* b 3.0))
0.2b	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
22.6b	(cos (- y (/ (* z t) 3.0)))

rewrite65.0ms

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:

10.0ms	(/ (* z t) 3.0)
8.0ms	(/ a (* b 3.0))
30.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
16.0ms	(cos (- y (/ (* z t) 3.0)))

series174.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(/ (* z t) 3.0)
18.0ms	(/ a (* b 3.0))
98.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
39.0ms	(cos (- y (/ (* z t) 3.0)))

simplify46.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (40.0ms)

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

prune329.0ms

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 18.3b

localize26.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ a (* b 3.0))
2.1b	(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
28.4b	(sin (/ (* z t) 3.0))
28.7b	(cos (/ (* z t) 3.0))

rewrite60.0ms

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:

8.0ms	(/ a (* b 3.0))
43.0ms	(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
3.0ms	(sin (/ (* z t) 3.0))
4.0ms	(cos (/ (* z t) 3.0))

series154.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(/ a (* b 3.0))
104.0ms	(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
17.0ms	(sin (/ (* z t) 3.0))
13.0ms	(cos (/ (* z t) 3.0))

simplify46.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 2 (37.0ms)

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

prune402.0ms

Pruning

27 alts after pruning (27 fresh and 0 done)

Merged error: 18.2b

localize29.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ a (* b 3.0))
2.1b	(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
28.4b	(sin (/ (* z t) 3.0))
28.6b	(cos (* 0.3333333333333333 (* t z)))

rewrite77.0ms

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:

8.0ms	(/ a (* b 3.0))
41.0ms	(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
4.0ms	(sin (/ (* z t) 3.0))
21.0ms	(cos (* 0.3333333333333333 (* t z)))

series152.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(/ a (* b 3.0))
103.0ms	(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
17.0ms	(sin (/ (* z t) 3.0))
14.0ms	(cos (* 0.3333333333333333 (* t z)))

simplify36.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 2 (31.0ms)

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

prune418.0ms

Pruning

29 alts after pruning (29 fresh and 0 done)

Merged error: 18.1b

localize26.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (sin y) (sin (* 0.3333333333333333 (* t z))))
2.1b	(* (* 2.0 (sqrt x)) (* (sin y) (sin (* 0.3333333333333333 (* t z)))))
28.6b	(sin (* 0.3333333333333333 (* t z)))
28.6b	(cos (* 0.3333333333333333 (* t z)))

rewrite167.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`add-sqr-sqrt`
6×	`add-cube-cbrt` `*-un-lft-identity`
4×	`associate-r` `associate-l` `add-log-exp`
2×	`*-commutative` `sin-mult`
1×	`associate-*r/` `unswap-sqr`

Counts

4 → 56

Calls

4 calls:

37.0ms	(* (sin y) (sin (* 0.3333333333333333 (* t z))))
90.0ms	(* (* 2.0 (sqrt x)) (* (sin y) (sin (* 0.3333333333333333 (* t z)))))
20.0ms	(sin (* 0.3333333333333333 (* t z)))
18.0ms	(cos (* 0.3333333333333333 (* t z)))

series182.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(* (sin y) (sin (* 0.3333333333333333 (* t z))))
106.0ms	(* (* 2.0 (sqrt x)) (* (sin y) (sin (* 0.3333333333333333 (* t z)))))
18.0ms	(sin (* 0.3333333333333333 (* t z)))
12.0ms	(cos (* 0.3333333333333333 (* t z)))

simplify204.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	216	552
1	935	444
2	4932	442
3	5001	442

prune272.0ms

Pruning

30 alts after pruning (30 fresh and 0 done)

Merged error: 18.1b

regimes2.9s

Accuracy

51.4% (1.8b remaining)

Error of 18.6b against oracle of 16.8b and baseline of 20.5b

bsearch2.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	59	42
1	61	42
2	61	42

end0.0ms

sample3.1s

Algorithm

intervals

Results

598.0ms	9232×	body	80	nan
587.0ms	1552×	body	1280	valid
324.0ms	5605×	body	80	valid
266.0ms	407×	body	2560	valid
242.0ms	947×	body	640	valid
89.0ms	451×	body	320	valid
27.0ms	202×	body	160	valid