Details

sample176.0ms

Algorithm

intervals

Results

47.0ms	279×	body	80	nan
40.0ms	57×	body	1280	valid
26.0ms	183×	body	80	valid
17.0ms	33×	body	640	valid
10.0ms	10×	body	2560	valid
3.0ms	8×	body	320	valid
1.0ms	5×	body	160	valid

simplify24.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

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: 20.2b

localize19.0ms

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))))
0.2b	(/ a (* b 3.0))
23.1b	(cos (- y (/ (* z t) 3.0)))

rewrite38.0ms

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	(/ (* z t) 3.0)
15.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
3.0ms	(/ a (* b 3.0))
13.0ms	(cos (- y (/ (* z t) 3.0)))

series188.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(/ (* z t) 3.0)
105.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
20.0ms	(/ a (* b 3.0))
43.0ms	(cos (- y (/ (* z t) 3.0)))

simplify84.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 2 (69.0ms)

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

prune476.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 15.4b

localize28.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ a (* b 3.0))
0.3b	(* (* 2.0 (sqrt x)) (+ (* (cos y) (cos (/ (* z t) 3.0))) (* (sin y) (sin (/ (* z t) 3.0)))))
27.7b	(cos (/ (* z t) 3.0))
27.9b	(sin (/ (* z t) 3.0))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-exp-log` `add-cbrt-cube`
9×	`pow1`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`times-frac` `associate-r/` `associate-r` `pow-prod-down` `associate-/l`
2×	`cbrt-undiv` `div-exp`
1×	`distribute-rgt-in` `frac-2neg` `distribute-lft-in` `flip3-+` `associate-l` `frac-add` `clear-num` `associate-/r` `cos-mult` `-commutative` `flip-+` `div-inv` `sin-mult`

Counts

4 → 66

Calls

4 calls:

3.0ms	(/ a (* b 3.0))
17.0ms	(* (* 2.0 (sqrt x)) (+ (* (cos y) (cos (/ (* z t) 3.0))) (* (sin y) (sin (/ (* z t) 3.0)))))
1.0ms	(cos (/ (* z t) 3.0))
2.0ms	(sin (/ (* z t) 3.0))

series274.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(/ a (* b 3.0))
219.0ms	(* (* 2.0 (sqrt x)) (+ (* (cos y) (cos (/ (* z t) 3.0))) (* (sin y) (sin (/ (* z t) 3.0)))))
16.0ms	(cos (/ (* z t) 3.0))
19.0ms	(sin (/ (* z t) 3.0))

simplify70.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	448	738
1	2011	624
2	5002	619

prune512.0ms

Pruning

24 alts after pruning (24 fresh and 0 done)

Merged error: 14.6b

localize32.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (pow (cos (/ (* z t) 3.0)) 3))
0.4b	(pow (cos (/ (* z t) 3.0)) 3)
27.7b	(cos (/ (* z t) 3.0))
27.9b	(sin (/ (* z t) 3.0))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`unpow-prod-down` `cube-prod`
5×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow`
2×	`cube-mult` `unpow3` `sqr-pow`
1×	`pow-to-exp` `pow-pow` `pow1/3` `pow-exp` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

4 → 66

Calls

4 calls:

1.0ms	(cbrt (pow (cos (/ (* z t) 3.0)) 3))
1.0ms	(pow (cos (/ (* z t) 3.0)) 3)
1.0ms	(cos (/ (* z t) 3.0))
2.0ms	(sin (/ (* z t) 3.0))

series70.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(cbrt (pow (cos (/ (* z t) 3.0)) 3))
25.0ms	(pow (cos (/ (* z t) 3.0)) 3)
15.0ms	(cos (/ (* z t) 3.0))
18.0ms	(sin (/ (* z t) 3.0))

simplify152.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 2 (25.0ms)

Iter	Nodes	Cost
0	128	407
1	419	381
2	2839	375
3	5003	375

prune497.0ms

Pruning

25 alts after pruning (25 fresh and 0 done)

Merged error: 14.6b

localize42.0ms

Local error

Found 4 expressions with local error:

27.7b	(cos (/ (* z t) 3.0))
27.9b	(sin (/ (* z t) 3.0))
27.9b	(sin (/ (* z t) 3.0))
27.9b	(sin (/ (* z t) 3.0))

rewrite7.0ms

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))
2.0ms	(sin (/ (* z t) 3.0))
1.0ms	(sin (/ (* z t) 3.0))
2.0ms	(sin (/ (* z t) 3.0))

series64.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(cos (/ (* z t) 3.0))
17.0ms	(sin (/ (* z t) 3.0))
17.0ms	(sin (/ (* z t) 3.0))
19.0ms	(sin (/ (* z t) 3.0))

simplify135.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 1 (6.0ms)

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

prune374.0ms

Pruning

24 alts after pruning (24 fresh and 0 done)

Merged error: 14.6b

regimes2.5s

Accuracy

43% (2.7b remaining)

Error of 17.9b against oracle of 15.2b and baseline of 19.9b

bsearch3.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	56	32
1	56	32

end0.0ms

sample5.2s

Algorithm

intervals

Results

1.4s	9136×	body	80	nan
1.1s	1547×	body	1280	valid
821.0ms	5567×	body	80	valid
506.0ms	961×	body	640	valid
410.0ms	396×	body	2560	valid
175.0ms	424×	body	320	valid
61.0ms	217×	body	160	valid