Details

sample41.0ms

Algorithm

intervals

Results

19.0ms

382×

body

valid

simplify126.0ms

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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 20.6b

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 9.0) y)
0.3b	(- (* (* x 9.0) y) (* (* (* z 4.0) t) a))
5.4b	(* (* (* z 4.0) t) a)
17.7b	(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

rewrite120.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 77

Calls

4 calls:

6.0ms	(* (* x 9.0) y)
6.0ms	(- (* (* x 9.0) y) (* (* (* z 4.0) t) a))
21.0ms	(* (* (* z 4.0) t) a)
84.0ms	(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

series324.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(* (* x 9.0) y)
75.0ms	(- (* (* x 9.0) y) (* (* (* z 4.0) t) a))
32.0ms	(* (* (* z 4.0) t) a)
194.0ms	(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

simplify72.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	491	675
1	2345	574
2	5002	574

prune247.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 6.4b

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 9.0 (/ (* x y) (* z c)))
5.2b	(/ (* a t) c)
5.8b	(/ b (* z c))
9.7b	(/ (* x y) (* z c))

rewrite24.0ms

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:

11.0ms	(* 9.0 (/ (* x y) (* z c)))
3.0ms	(/ (* a t) c)
3.0ms	(/ b (* z c))
4.0ms	(/ (* x y) (* z c))

series107.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(* 9.0 (/ (* x y) (* z c)))
18.0ms	(/ (* a t) c)
23.0ms	(/ b (* z c))
27.0ms	(/ (* x y) (* z 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

prune294.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

5.2b	(/ (* a t) c)
5.6b	(/ (* z c) y)
5.8b	(/ b (* z c))
6.2b	(/ x (/ (* z c) y))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

42×	`times-frac`
28×	`add-exp-log` `add-cbrt-cube`
26×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
14×	`associate-/r*`
11×	`cbrt-undiv` `div-exp`
8×	`div-inv` `associate-/l*`
4×	`pow1` `frac-2neg` `prod-exp` `clear-num` `cbrt-unprod` `add-log-exp`
1×	`associate-/r/`

Counts

4 → 111

Calls

4 calls:

3.0ms	(/ (* a t) c)
3.0ms	(/ (* z c) y)
3.0ms	(/ b (* z c))
5.0ms	(/ x (/ (* z c) y))

series93.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(/ (* a t) c)
18.0ms	(/ (* z c) y)
20.0ms	(/ b (* z c))
36.0ms	(/ x (/ (* z c) y))

simplify49.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	457	568
1	2237	494
2	5001	494

prune454.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

3.4b	(* (/ z (* (cbrt y) (cbrt y))) (/ c (cbrt y)))
5.2b	(/ (* a t) c)
5.8b	(/ b (* z c))
6.2b	(/ x (* (/ z (* (cbrt y) (cbrt y))) (/ c (cbrt y))))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

64×	`add-exp-log`
50×	`add-cbrt-cube`
41×	`add-sqr-sqrt`
37×	`times-frac`
25×	`cbrt-undiv` `add-cube-cbrt` `*-un-lft-identity` `div-exp`
22×	`associate-r`
18×	`prod-exp` `cbrt-unprod`
11×	`cbrt-prod`
7×	`associate-l` `associate-/l*`
6×	`pow1` `unswap-sqr`
5×	`associate-/r*` `div-inv`
4×	`add-log-exp`
3×	`frac-2neg` `clear-num` `associate-/r/`
2×	`frac-times` `associate-r/` `associate-l/`
1×	`pow-prod-down` `*-commutative`

Counts

4 → 135

Calls

4 calls:

24.0ms	(* (/ z (* (cbrt y) (cbrt y))) (/ c (cbrt y)))
3.0ms	(/ (* a t) c)
3.0ms	(/ b (* z c))
19.0ms	(/ x (* (/ z (* (cbrt y) (cbrt y))) (/ c (cbrt y))))

series151.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(* (/ z (* (cbrt y) (cbrt y))) (/ c (cbrt y)))
19.0ms	(/ (* a t) c)
20.0ms	(/ b (* z c))
59.0ms	(/ x (* (/ z (* (cbrt y) (cbrt y))) (/ c (cbrt y))))

simplify80.0ms

Algorithm

egg-herbie

Counts

147 → 147

Iterations

Useful iterations: 2 (69.0ms)

Iter	Nodes	Cost
0	735	1181
1	3687	973
2	5002	928

prune485.0ms

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 0.0b

regimes1.1s

Accuracy

38.3% (6.8b remaining)

Error of 7.2b against oracle of 0.4b and baseline of 11.4b

bsearch5.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	69
1	69	69

end0.0ms

sample1.2s

Algorithm

intervals

Results

656.0ms

12704×

body

valid