Details

sample105.0ms

Algorithm

intervals

Results

22.0ms	51×	body	1280	valid
21.0ms	316×	body	80	nan
11.0ms	180×	body	80	valid
10.0ms	16×	body	2560	valid
7.0ms	28×	body	640	valid
2.0ms	9×	body	320	valid
1.0ms	6×	body	160	valid

simplify13.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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: 19.1b

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ a (* b 3.0))
0.2b	(/ (* z t) 3.0)
0.2b	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
23.9b	(cos (- y (/ (* z t) 3.0)))

rewrite39.0ms

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))
3.0ms	(/ (* z t) 3.0)
14.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
15.0ms	(cos (- y (/ (* z t) 3.0)))

series160.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(/ a (* b 3.0))
20.0ms	(/ (* z t) 3.0)
90.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
32.0ms	(cos (- y (/ (* z t) 3.0)))

simplify64.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 2 (51.0ms)

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

prune409.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 15.4b

localize28.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (sin y) (sin (/ (* z t) 3.0)))
1.1b	(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
28.6b	(cos (/ (* z t) 3.0))
28.9b	(sin (/ (* z t) 3.0))

rewrite24.0ms

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×	`expm1-log1p-u` `associate-r` `associate-l` `log1p-expm1-u` `add-log-exp`
2×	`*-commutative` `sin-mult`
1×	`associate-*r/` `unswap-sqr`

Counts

4 → 64

Calls

4 calls:

5.0ms	(* (sin y) (sin (/ (* z t) 3.0)))
15.0ms	(* (* 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))

series160.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(* (sin y) (sin (/ (* z t) 3.0)))
93.0ms	(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
9.0ms	(cos (/ (* z t) 3.0))
15.0ms	(sin (/ (* z t) 3.0))

simplify148.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	233	598
1	961	490
2	4991	488
3	5001	488

prune433.0ms

Pruning

24 alts after pruning (24 fresh and 0 done)

Merged error: 15.3b

localize29.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (sin y) (sin (/ (* z t) 3.0)))
1.1b	(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
28.8b	(cos (* 0.3333333333333333 (* t z)))
28.9b	(sin (/ (* z t) 3.0))

rewrite29.0ms

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×	`expm1-log1p-u` `associate-r` `associate-l` `log1p-expm1-u` `add-log-exp`
2×	`*-commutative` `sin-mult`
1×	`associate-*r/` `unswap-sqr`

Counts

4 → 64

Calls

4 calls:

5.0ms	(* (sin y) (sin (/ (* z t) 3.0)))
15.0ms	(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
6.0ms	(cos (* 0.3333333333333333 (* t z)))
1.0ms	(sin (/ (* z t) 3.0))

series161.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(* (sin y) (sin (/ (* z t) 3.0)))
94.0ms	(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
10.0ms	(cos (* 0.3333333333333333 (* t z)))
16.0ms	(sin (/ (* z t) 3.0))

simplify160.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	232	598
1	960	490
2	4990	488
3	5001	488

prune431.0ms

Pruning

24 alts after pruning (24 fresh and 0 done)

Merged error: 15.3b

localize31.0ms

Local error

Found 4 expressions with local error:

28.6b	(cos (/ (* z t) 3.0))
28.9b	(sin (/ (* z t) 3.0))
28.9b	(sin (/ (* z t) 3.0))
28.9b	(sin (/ (* z t) 3.0))

rewrite6.0ms

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`

Counts

4 → 36

Calls

4 calls:

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

series57.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(cos (/ (* z t) 3.0))
15.0ms	(sin (/ (* z t) 3.0))
15.0ms	(sin (/ (* z t) 3.0))
18.0ms	(sin (/ (* z t) 3.0))

simplify106.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	40	222
1	56	194
2	67	194
3	76	194
4	104	194
5	178	194
6	697	194
7	2269	194
8	5001	194

prune322.0ms

Pruning

25 alts after pruning (24 fresh and 1 done)

Merged error: 15.3b

regimes2.3s

Accuracy

60.3% (1.7b remaining)

Error of 17.9b against oracle of 16.3b and baseline of 20.5b

bsearch3.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	51
1	55	51

end0.0ms

sample3.0s

Algorithm

intervals

Results

630.0ms	9287×	body	80	nan
621.0ms	1551×	body	1280	valid
360.0ms	5626×	body	80	valid
269.0ms	397×	body	2560	valid
258.0ms	946×	body	640	valid
86.0ms	411×	body	320	valid
29.0ms	209×	body	160	valid