Details

sample41.0ms

Algorithm

intervals

Results

19.0ms

409×

body

valid

simplify134.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	37	9
1	94	9
2	287	9
3	741	9
4	1662	9
5	4195	9
6	5001	9

prune3.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.6b

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 9.0) y)
0.2b	(* (* z 4.0) t)
5.6b	(* (* (* z 4.0) t) a)
15.7b	(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-exp-log` `add-cbrt-cube`
23×	`pow1`
13×	`*-un-lft-identity` `prod-exp` `cbrt-unprod`
12×	`pow-prod-down`
9×	`add-sqr-sqrt` `add-cube-cbrt` `associate-r`
4×	`times-frac` `associate-/l*` `add-log-exp`
3×	`associate-l` `*-commutative`
2×	`cbrt-undiv` `div-exp` `associate-/l/` `distribute-lft-out`
1×	`associate-+l-` `frac-2neg` `flip3-+` `div-sub` `clear-num` `associate-/r*` `flip-+` `div-inv`

Counts

4 → 83

Calls

4 calls:

5.0ms	(* (* x 9.0) y)
5.0ms	(* (* z 4.0) t)
10.0ms	(* (* (* z 4.0) t) a)
10.0ms	(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

series464.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(* (* x 9.0) y)
17.0ms	(* (* z 4.0) t)
29.0ms	(* (* (* z 4.0) t) a)
396.0ms	(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

simplify64.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	465	619
1	2261	504
2	5001	504

prune263.0ms

Filtered

95 candidates to 57 candidates (60.0%)

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 6.9b

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 9.0 (/ (* x y) (* z c)))
3.0b	(/ b (* z c))
6.9b	(/ (* x y) (* z c))
7.4b	(/ (* a t) c)

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-exp-log` `add-cbrt-cube`
15×	`prod-exp` `cbrt-unprod`
12×	`cbrt-undiv` `add-sqr-sqrt` `div-exp`
10×	`add-cube-cbrt` `*-un-lft-identity`
8×	`times-frac`
6×	`pow1`
5×	`associate-r` `associate-/r` `associate-/l`
4×	`div-inv` `add-log-exp`
3×	`frac-2neg` `associate-l` `clear-num`
1×	`associate-r/` `pow-prod-down` `-commutative` `unswap-sqr`

Counts

4 → 92

Calls

4 calls:

8.0ms	(* 9.0 (/ (* x y) (* z c)))
4.0ms	(/ b (* z c))
6.0ms	(/ (* x y) (* z c))
4.0ms	(/ (* a t) c)

series108.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(* 9.0 (/ (* x y) (* z c)))
19.0ms	(/ b (* z c))
31.0ms	(/ (* x y) (* z c))
19.0ms	(/ (* a t) c)

simplify54.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	420	503
1	2365	384
2	5002	384

prune292.0ms

Filtered

104 candidates to 62 candidates (59.6%)

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 0.3b

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 9.0 (/ (* x y) (* z c)))
3.0b	(/ b (* z c))
4.7b	(* a (/ t c))
6.9b	(/ (* x y) (* z c))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-exp-log` `add-cbrt-cube`
23×	`add-sqr-sqrt`
18×	`associate-r`
16×	`add-cube-cbrt` `*-un-lft-identity` `prod-exp` `cbrt-unprod`
15×	`times-frac`
11×	`cbrt-undiv` `div-exp`
8×	`pow1`
6×	`associate-l`
4×	`div-inv` `associate-/l*` `add-log-exp`
3×	`unswap-sqr`
2×	`frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `associate-/r` `*-commutative`

Counts

4 → 103

Calls

4 calls:

8.0ms	(* 9.0 (/ (* x y) (* z c)))
4.0ms	(/ b (* z c))
6.0ms	(* a (/ t c))
6.0ms	(/ (* x y) (* z c))

series109.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(* 9.0 (/ (* x y) (* z c)))
20.0ms	(/ b (* z c))
19.0ms	(* a (/ t c))
28.0ms	(/ (* x y) (* z c))

simplify61.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	475	551
1	2583	432
2	5003	432

prune318.0ms

Filtered

115 candidates to 67 candidates (58.3%)

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
1.2b	(* a (/ (* (cbrt t) (cbrt t)) (* (cbrt c) (cbrt c))))
3.0b	(/ b (* z c))
6.9b	(/ (* x y) (* z c))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

39×	`add-exp-log`
31×	`add-cbrt-cube`
14×	`prod-exp` `cbrt-unprod`
12×	`add-sqr-sqrt`
10×	`cbrt-undiv` `div-exp`
9×	`add-cube-cbrt` `*-un-lft-identity`
6×	`pow1` `times-frac`
5×	`associate-r`
4×	`associate-/l*` `add-log-exp`
3×	`cbrt-prod` `associate-l` `div-inv`
2×	`frac-2neg` `clear-num` `associate-/r*` `unswap-sqr`
1×	`pow1/3` `associate-r/` `pow-prod-down` `-commutative`

Counts

4 → 83

Calls

4 calls:

1.0ms	(cbrt t)
12.0ms	(* a (/ (* (cbrt t) (cbrt t)) (* (cbrt c) (cbrt c))))
4.0ms	(/ b (* z c))
6.0ms	(/ (* x y) (* z c))

series306.0ms

Counts

4 → 12

Calls

4 calls:

178.0ms	(cbrt t)
80.0ms	(* a (/ (* (cbrt t) (cbrt t)) (* (cbrt c) (cbrt c))))
20.0ms	(/ b (* z c))
28.0ms	(/ (* x y) (* z c))

simplify61.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	515	605
1	2513	465
2	5001	438

prune336.0ms

Filtered

95 candidates to 63 candidates (66.3%)

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 0.0b

regimes781.0ms

Accuracy

39.7% (5.1b remaining)

Error of 5.2b against oracle of 0.2b and baseline of 8.5b

bsearch2.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	47
1	63	47

end0.0ms

sample1.1s

Algorithm

intervals

Results

600.0ms

12769×

body

valid