Details

sample42.0ms

Algorithm

intervals

Results

10.0ms	185×	body	80	valid
10.0ms	32×	body	1280	valid
7.0ms	33×	body	640	valid
3.0ms	19×	body	320	valid
2.0ms	16×	body	160	valid

simplify10.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	12	4
1	24	4
2	48	4
3	71	4
4	79	4
5	79	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.2b

localize10.0ms

Local error

Found 3 expressions with local error:

0.1b	(* x (/ (sin y) y))
0.1b	(/ (sin y) y)
2.1b	(/ (* x (/ (sin y) y)) z)

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
22×	`times-frac`
21×	`add-cube-cbrt` `*-un-lft-identity`
19×	`add-exp-log` `add-cbrt-cube`
13×	`associate-r`
6×	`cbrt-undiv` `div-exp` `associate-/r*`
5×	`pow1`
4×	`prod-exp` `cbrt-unprod` `associate-/l*`
3×	`associate-l` `div-inv` `add-log-exp`
2×	`frac-2neg` `associate-*r/` `clear-num` `unswap-sqr`
1×	`pow-prod-down` `*-commutative` `associate-/l/`

Counts

3 → 83

Calls

3 calls:

7.0ms	(* x (/ (sin y) y))
3.0ms	(/ (sin y) y)
5.0ms	(/ (* x (/ (sin y) y)) z)

series143.0ms

Counts

3 → 9

Calls

3 calls:

52.0ms	(* x (/ (sin y) y))
24.0ms	(/ (sin y) y)
67.0ms	(/ (* x (/ (sin y) y)) z)

simplify44.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	326	487
1	1643	420
2	5001	420

prune177.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.1b	(* x (/ (sin y) y))
0.1b	(/ (sin y) y)
2.3b	(* (* x (/ (sin y) y)) (/ 1 z))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-exp-log`
31×	`add-sqr-sqrt` `add-cbrt-cube`
28×	`times-frac`
26×	`add-cube-cbrt` `-un-lft-identity` `associate-r*`
22×	`prod-exp`
12×	`div-exp` `cbrt-unprod`
10×	`pow1`
7×	`cbrt-undiv`
4×	`associate-r/` `associate-l*` `pow-prod-down`
3×	`rec-exp` `1-exp` `associate-/r` `div-inv` `associate-/l` `add-log-exp`
2×	`*-commutative` `unswap-sqr`
1×	`frac-times` `frac-2neg` `associate-*l/` `clear-num` `un-div-inv`

Counts

3 → 105

Calls

3 calls:

7.0ms	(* x (/ (sin y) y))
3.0ms	(/ (sin y) y)
18.0ms	(* (* x (/ (sin y) y)) (/ 1 z))

series141.0ms

Counts

3 → 9

Calls

3 calls:

50.0ms	(* x (/ (sin y) y))
24.0ms	(/ (sin y) y)
67.0ms	(* (* x (/ (sin y) y)) (/ 1 z))

simplify64.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	480	667
1	2656	552
2	5001	539

prune202.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

2.3b	(* (* (* (cbrt (* x (/ (sin y) y))) (cbrt (* x (/ (sin y) y)))) (cbrt (* x (/ (sin y) y)))) (/ 1 z))
8.8b	(cbrt (* x (/ (sin y) y)))
8.8b	(cbrt (* x (/ (sin y) y)))
8.8b	(cbrt (* x (/ (sin y) y)))

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

43×	`add-exp-log`
34×	`associate-*r/`
27×	`cbrt-div`
24×	`prod-exp`
17×	`frac-times` `associate-*l/` `add-cbrt-cube`
13×	`pow1` `associate-r`
12×	`cbrt-unprod`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
6×	`div-exp` `pow-prod-down`
4×	`add-log-exp`
3×	`cbrt-undiv` `cbrt-prod` `rec-exp` `pow1/3` `1-exp`
1×	`associate-l` `un-div-inv` `*-commutative` `div-inv`

Counts

4 → 89

Calls

4 calls:

58.0ms	(* (* (* (cbrt (* x (/ (sin y) y))) (cbrt (* x (/ (sin y) y)))) (cbrt (* x (/ (sin y) y)))) (/ 1 z))
3.0ms	(cbrt (* x (/ (sin y) y)))
3.0ms	(cbrt (* x (/ (sin y) y)))
3.0ms	(cbrt (* x (/ (sin y) y)))

series424.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(* (* (* (cbrt (* x (/ (sin y) y))) (cbrt (* x (/ (sin y) y)))) (cbrt (* x (/ (sin y) y)))) (/ 1 z))
120.0ms	(cbrt (* x (/ (sin y) y)))
116.0ms	(cbrt (* x (/ (sin y) y)))
121.0ms	(cbrt (* x (/ (sin y) y)))

simplify56.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	466	1302
1	2114	878
2	5002	747

prune212.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.1b	(* x (sin y))
2.3b	(* (* (* x (sin y)) (/ 1 y)) (/ 1 z))
8.2b	(* (* x (sin y)) (/ 1 y))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

164×	`add-exp-log`
97×	`prod-exp`
58×	`add-cbrt-cube`
38×	`div-exp`
29×	`associate-r` `cbrt-unprod`
21×	`add-sqr-sqrt`
19×	`pow1` `add-cube-cbrt` `rec-exp` `*-un-lft-identity` `1-exp`
18×	`times-frac`
11×	`cbrt-undiv`
10×	`pow-prod-down`
5×	`associate-l`
4×	`associate-*r/` `un-div-inv`
3×	`*-commutative` `add-log-exp`
2×	`frac-times` `associate-*l/` `div-inv`
1×	`unswap-sqr`

Counts

3 → 133

Calls

3 calls:

3.0ms	(* x (sin y))
34.0ms	(* (* (* x (sin y)) (/ 1 y)) (/ 1 z))
11.0ms	(* (* x (sin y)) (/ 1 y))

series150.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(* x (sin y))
66.0ms	(* (* (* x (sin y)) (/ 1 y)) (/ 1 z))
49.0ms	(* (* x (sin y)) (/ 1 y))

simplify78.0ms

Algorithm

egg-herbie

Counts

142 → 142

Iterations

Useful iterations: 2 (66.0ms)

Iter	Nodes	Cost
0	672	939
1	3602	675
2	5002	650

prune158.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes174.0ms

Accuracy

92.8% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 2.7b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	14
1	21	14

end0.0ms

sample1.2s

Algorithm

intervals

Results

343.0ms	5849×	body	80	valid
323.0ms	1010×	body	1280	valid
215.0ms	1008×	body	640	valid
92.0ms	556×	body	320	valid
33.0ms	290×	body	160	valid