Details

sample33.0ms

Algorithm

intervals

Results

7.0ms	189×	body	80	valid
7.0ms	28×	body	1280	valid
7.0ms	39×	body	640	valid
1.0ms	10×	body	320	valid
1.0ms	10×	body	160	valid

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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: 2.4b

localize7.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ (sin y) y)
0.1b	(* x (/ (sin y) y))
2.4b	(/ (* x (/ (sin y) y)) z)

rewrite22.0ms

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:

3.0ms	(/ (sin y) y)
11.0ms	(* x (/ (sin y) y))
5.0ms	(/ (* x (/ (sin y) y)) z)

series146.0ms

Counts

3 → 9

Calls

3 calls:

26.0ms	(/ (sin y) y)
56.0ms	(* x (/ (sin y) y))
64.0ms	(/ (* x (/ (sin y) y)) z)

simplify50.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 1 (12.0ms)

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

prune199.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ (sin y) y)
0.1b	(* x (/ (sin y) y))
2.5b	(* (* x (/ (sin y) y)) (/ 1 z))

rewrite35.0ms

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:

6.0ms	(/ (sin y) y)
8.0ms	(* x (/ (sin y) y))
17.0ms	(* (* x (/ (sin y) y)) (/ 1 z))

series143.0ms

Counts

3 → 9

Calls

3 calls:

24.0ms	(/ (sin y) y)
55.0ms	(* x (/ (sin y) y))
64.0ms	(* (* x (/ (sin y) y)) (/ 1 z))

simplify62.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (55.0ms)

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

prune215.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ y (sin y))
0.1b	(* x (/ 1 (/ y (sin y))))
0.1b	(/ 1 (/ y (sin y)))
2.5b	(* (* x (/ 1 (/ y (sin y)))) (/ 1 z))

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

165×	`times-frac`
156×	`add-exp-log`
111×	`add-sqr-sqrt`
99×	`*-un-lft-identity`
97×	`add-cube-cbrt`
67×	`prod-exp`
59×	`div-exp`
57×	`associate-r`
52×	`add-cbrt-cube`
20×	`rec-exp` `1-exp`
17×	`cbrt-undiv` `cbrt-unprod`
16×	`associate-/r*`
12×	`pow1`
11×	`div-inv`
6×	`associate-/l*`
5×	`unswap-sqr`
4×	`associate-r/` `associate-l*` `pow-prod-down` `un-div-inv` `add-log-exp`
2×	`frac-times` `frac-2neg` `associate-l/` `clear-num` `associate-/r/` `-commutative`
1×	`pow-flip` `inv-pow`

Counts

4 → 246

Calls

4 calls:

2.0ms	(/ y (sin y))
21.0ms	(* x (/ 1 (/ y (sin y))))
6.0ms	(/ 1 (/ y (sin y)))
37.0ms	(* (* x (/ 1 (/ y (sin y)))) (/ 1 z))

series170.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(/ y (sin y))
50.0ms	(* x (/ 1 (/ y (sin y))))
29.0ms	(/ 1 (/ y (sin y)))
65.0ms	(* (* x (/ 1 (/ y (sin y)))) (/ 1 z))

simplify97.0ms

Algorithm

egg-herbie

Counts

258 → 258

Iterations

Useful iterations: 2 (81.0ms)

Iter	Nodes	Cost
0	940	1764
1	4708	1437
2	5001	1436

prune486.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ (sin y) y)
0.1b	(* (/ (sin y) y) (/ 1 z))
2.5b	(* x (* (/ (sin y) y) (/ 1 z)))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

59×	`add-exp-log`
43×	`add-sqr-sqrt`
35×	`add-cbrt-cube`
34×	`times-frac`
28×	`*-un-lft-identity`
26×	`add-cube-cbrt`
25×	`prod-exp`
17×	`div-exp`
16×	`associate-l`
14×	`associate-r`
13×	`cbrt-unprod`
10×	`pow1`
9×	`cbrt-undiv`
6×	`associate-*r/` `unswap-sqr`
4×	`rec-exp` `1-exp` `pow-prod-down`
3×	`associate-/r` `div-inv` `associate-/l` `add-log-exp`
2×	`frac-times` `associate-l/` `un-div-inv` `-commutative`
1×	`frac-2neg` `clear-num`

Counts

3 → 116

Calls

3 calls:

3.0ms	(/ (sin y) y)
14.0ms	(* (/ (sin y) y) (/ 1 z))
21.0ms	(* x (* (/ (sin y) y) (/ 1 z)))

series131.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(/ (sin y) y)
35.0ms	(* (/ (sin y) y) (/ 1 z))
70.0ms	(* x (* (/ (sin y) y) (/ 1 z)))

simplify65.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	534	768
1	2389	634
2	5001	610

prune254.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0b

regimes173.0ms

Accuracy

36.2% (1.7b remaining)

Error of 1.7b against oracle of 0.0b and baseline of 2.6b

bsearch11.0ms

Steps

Iters	Range		Point
2	1.494127419153236e+54	1.8174143315383092e+54	1.5167308587843438e+54

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	10
1	22	10

end0.0ms

sample1.0s

Algorithm

intervals

Results

284.0ms	992×	body	1280	valid
244.0ms	5820×	body	80	valid
189.0ms	1016×	body	640	valid
80.0ms	575×	body	320	valid
28.0ms	304×	body	160	valid