Details

sample45.0ms

Algorithm

intervals

Results

11.0ms	185×	body	80	valid
10.0ms	32×	body	1280	valid
9.0ms	33×	body	640	valid
3.0ms	19×	body	320	valid
2.0ms	16×	body	160	valid

simplify12.0ms

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

localize8.0ms

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×	`expm1-log1p-u` `associate-l` `log1p-expm1-u` `div-inv` `add-log-exp`
2×	`frac-2neg` `associate-*r/` `clear-num` `unswap-sqr`
1×	`pow-prod-down` `*-commutative` `associate-/l/`

Counts

3 → 89

Calls

3 calls:

8.0ms	(* x (/ (sin y) y))
3.0ms	(/ (sin y) y)
5.0ms	(/ (* x (/ (sin y) y)) z)

series150.0ms

Counts

3 → 9

Calls

3 calls:

54.0ms	(* x (/ (sin y) y))
26.0ms	(/ (sin y) y)
69.0ms	(/ (* x (/ (sin y) y)) z)

simplify48.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	333	511
1	1655	443
2	5001	443

prune211.0ms

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))

rewrite31.0ms

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×	`expm1-log1p-u` `rec-exp` `1-exp` `associate-/r` `log1p-expm1-u` `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 → 111

Calls

3 calls:

7.0ms	(* x (/ (sin y) y))
3.0ms	(/ (sin y) y)
17.0ms	(* (* x (/ (sin y) y)) (/ 1 z))

series148.0ms

Counts

3 → 9

Calls

3 calls:

55.0ms	(* x (/ (sin y) y))
25.0ms	(/ (sin y) y)
68.0ms	(* (* x (/ (sin y) y)) (/ 1 z))

simplify69.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	487	693
1	2670	577
2	5001	564

prune235.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

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×	`expm1-log1p-u` `log1p-expm1-u` `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 → 97

Calls

4 calls:

57.0ms	(* (* (* (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)))

series432.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(* (* (* (cbrt (* x (/ (sin y) y))) (cbrt (* x (/ (sin y) y)))) (cbrt (* x (/ (sin y) y)))) (/ 1 z))
123.0ms	(cbrt (* x (/ (sin y) y)))
120.0ms	(cbrt (* x (/ (sin y) y)))
124.0ms	(cbrt (* x (/ (sin y) y)))

simplify65.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	470	1366
1	2121	942
2	5002	811

prune259.0ms

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))

rewrite59.0ms

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×	`expm1-log1p-u` `*-commutative` `log1p-expm1-u` `add-log-exp`
2×	`frac-times` `associate-*l/` `div-inv`
1×	`unswap-sqr`

Counts

3 → 139

Calls

3 calls:

3.0ms	(* x (sin y))
38.0ms	(* (* (* x (sin y)) (/ 1 y)) (/ 1 z))
12.0ms	(* (* x (sin y)) (/ 1 y))

series160.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(* x (sin y))
69.0ms	(* (* (* x (sin y)) (/ 1 y)) (/ 1 z))
52.0ms	(* (* x (sin y)) (/ 1 y))

simplify81.0ms

Algorithm

egg-herbie

Counts

148 → 148

Iterations

Useful iterations: 2 (72.0ms)

Iter	Nodes	Cost
0	678	969
1	3610	705
2	5002	680

prune186.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes180.0ms

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

331.0ms	5849×	body	80	valid
326.0ms	1010×	body	1280	valid
221.0ms	1008×	body	640	valid
87.0ms	556×	body	320	valid
33.0ms	290×	body	160	valid