Details

sample50.0ms

Algorithm

intervals

Results

24.0ms

402×

body

valid

simplify155.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 6 (153.0ms)

Iter	Nodes	Cost
0	38	9
1	103	9
2	327	9
3	921	9
4	1996	9
5	4841	9
6	5001	8

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 12.1b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (- 4.0) (/ (* t a) c) (/ (fma x (* 9.0 y) b) (* z c)))
0.1b	(fma x (* 9.0 y) b)
5.4b	(/ (* t a) c)
10.7b	(/ (fma x (* 9.0 y) b) (* z c))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-exp-log` `add-cbrt-cube`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`times-frac`
4×	`pow1` `cbrt-undiv` `expm1-log1p-u` `div-exp` `associate-/r` `log1p-expm1-u` `associate-/l` `add-log-exp`
2×	`frac-2neg` `prod-exp` `clear-num` `cbrt-unprod` `fma-udef` `div-inv`

Counts

4 → 66

Calls

4 calls:

0.0ms	(fma (- 4.0) (/ (* t a) c) (/ (fma x (* 9.0 y) b) (* z c)))
0.0ms	(fma x (* 9.0 y) b)
10.0ms	(/ (* t a) c)
8.0ms	(/ (fma x (* 9.0 y) b) (* z c))

series352.0ms

Counts

4 → 12

Calls

4 calls:

228.0ms	(fma (- 4.0) (/ (* t a) c) (/ (fma x (* 9.0 y) b) (* z c)))
36.0ms	(fma x (* 9.0 y) b)
21.0ms	(/ (* t a) c)
66.0ms	(/ (fma x (* 9.0 y) b) (* z c))

simplify51.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	284	424
1	1137	356
2	5001	355

prune495.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 4.9b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (- 4.0) (/ (* t a) c) (/ (fma (* 9.0 x) y b) (* z c)))
0.1b	(fma (* 9.0 x) y b)
5.4b	(/ (* t a) c)
10.7b	(/ (fma (* 9.0 x) y b) (* z c))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-exp-log` `add-cbrt-cube`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`times-frac`
4×	`pow1` `cbrt-undiv` `expm1-log1p-u` `div-exp` `associate-/r` `log1p-expm1-u` `associate-/l` `add-log-exp`
2×	`frac-2neg` `prod-exp` `clear-num` `cbrt-unprod` `fma-udef` `div-inv`

Counts

4 → 66

Calls

4 calls:

0.0ms	(fma (- 4.0) (/ (* t a) c) (/ (fma (* 9.0 x) y b) (* z c)))
0.0ms	(fma (* 9.0 x) y b)
12.0ms	(/ (* t a) c)
8.0ms	(/ (fma (* 9.0 x) y b) (* z c))

series304.0ms

Counts

4 → 12

Calls

4 calls:

197.0ms	(fma (- 4.0) (/ (* t a) c) (/ (fma (* 9.0 x) y b) (* z c)))
35.0ms	(fma (* 9.0 x) y b)
19.0ms	(/ (* t a) c)
53.0ms	(/ (fma (* 9.0 x) y b) (* z c))

simplify40.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	280	421
1	1179	356
2	5001	355

prune414.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 4.9b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (- 4.0) (* (* t a) (/ 1 c)) (/ (fma (* 9.0 x) y b) (* z c)))
0.1b	(fma (* 9.0 x) y b)
5.5b	(* (* t a) (/ 1 c))
10.7b	(/ (fma (* 9.0 x) y b) (* z c))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-exp-log`
21×	`add-cbrt-cube`
13×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r*` `prod-exp`
12×	`times-frac`
9×	`pow1`
7×	`cbrt-unprod`
6×	`div-exp`
4×	`cbrt-undiv` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow-prod-down` `associate-/l*`
2×	`rec-exp` `1-exp` `fma-udef` `div-inv`
1×	`frac-2neg` `associate-r/` `associate-l` `clear-num` `associate-/r` `un-div-inv` `*-commutative`

Counts

4 → 83

Calls

4 calls:

0.0ms	(fma (- 4.0) (* (* t a) (/ 1 c)) (/ (fma (* 9.0 x) y b) (* z c)))
0.0ms	(fma (* 9.0 x) y b)
23.0ms	(* (* t a) (/ 1 c))
8.0ms	(/ (fma (* 9.0 x) y b) (* z c))

series303.0ms

Counts

4 → 12

Calls

4 calls:

197.0ms	(fma (- 4.0) (* (* t a) (/ 1 c)) (/ (fma (* 9.0 x) y b) (* z c)))
31.0ms	(fma (* 9.0 x) y b)
19.0ms	(* (* t a) (/ 1 c))
56.0ms	(/ (fma (* 9.0 x) y b) (* z c))

simplify59.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	412	533
1	1947	437
2	5001	423

prune465.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 4.9b

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma (* 9.0 x) y b)
0.6b	(/ 1 (/ c (* t a)))
5.4b	(/ c (* t a))
10.7b	(/ (fma (* 9.0 x) y b) (* z c))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

39×	`times-frac`
35×	`add-exp-log`
24×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
23×	`add-cbrt-cube`
16×	`div-exp`
9×	`cbrt-undiv` `associate-/r` `associate-/l`
7×	`div-inv`
5×	`pow1` `prod-exp`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `cbrt-unprod`
1×	`pow-flip` `associate-/r/` `fma-udef` `inv-pow`

Counts

4 → 114

Calls

4 calls:

0.0ms	(fma (* 9.0 x) y b)
14.0ms	(/ 1 (/ c (* t a)))
8.0ms	(/ c (* t a))
10.0ms	(/ (fma (* 9.0 x) y b) (* z c))

series125.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(fma (* 9.0 x) y b)
20.0ms	(/ 1 (/ c (* t a)))
19.0ms	(/ c (* t a))
54.0ms	(/ (fma (* 9.0 x) y b) (* z c))

simplify53.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	407	622
1	1837	524
2	5001	485

prune468.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 4.9b

regimes566.0ms

Accuracy

36.2% (4.8b remaining)

Error of 8.6b against oracle of 3.9b and baseline of 11.3b

bsearch338.0ms

Steps

Iters	Range		Point
9	5.9790464235888496e-05	99709.83201960094	235.044381614611
7	-0.35854456780334687	-0.0028283830622303887	-0.06283972916805422
3	-1.3072147069417628e+192	-1.0060361422034324e+192	-1.279980170882985e+192
8	-1.1882884701165526e+241	-5.160580509763629e+237	-9.112218066403588e+240

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	44
1	49	44

end0.0ms

sample1.1s

Algorithm

intervals

Results

639.0ms

12712×

body

valid