Details

sample41.0ms

Algorithm

intervals

Results

19.0ms

396×

body

valid

simplify168.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 6 (166.0ms)

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: 8.3b

localize21.0ms

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)
4.8b	(/ (* t a) c)
9.1b	(/ (fma x (* 9.0 y) b) (* z c))

rewrite9.0ms

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

series388.0ms

Counts

4 → 12

Calls

4 calls:

252.0ms	(fma (- 4.0) (/ (* t a) c) (/ (fma x (* 9.0 y) b) (* z c)))
44.0ms	(fma x (* 9.0 y) b)
24.0ms	(/ (* t a) c)
68.0ms	(/ (fma x (* 9.0 y) b) (* z c))

simplify52.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 2 (44.0ms)

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

prune355.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 2.5b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (- 4.0) (/ t (/ c a)) (/ (fma x (* 9.0 y) b) (* z c)))
0.1b	(fma x (* 9.0 y) b)
6.3b	(/ t (/ c a))
9.1b	(/ (fma x (* 9.0 y) b) (* z c))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 115

Calls

4 calls:

0.0ms	(fma (- 4.0) (/ t (/ c a)) (/ (fma x (* 9.0 y) b) (* z c)))
0.0ms	(fma x (* 9.0 y) b)
5.0ms	(/ t (/ c a))
3.0ms	(/ (fma x (* 9.0 y) b) (* z c))

series355.0ms

Counts

4 → 12

Calls

4 calls:

232.0ms	(fma (- 4.0) (/ t (/ c a)) (/ (fma x (* 9.0 y) b) (* z c)))
34.0ms	(fma x (* 9.0 y) b)
23.0ms	(/ t (/ c a))
66.0ms	(/ (fma x (* 9.0 y) b) (* z c))

simplify72.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	489	787
1	1882	713
2	5001	712

prune590.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 2.5b

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma 9.0 (/ (* x y) (* z c)) (/ b (* z c)))
4.5b	(/ b (* z c))
6.3b	(/ t (/ c a))
8.1b	(/ (* x y) (* z c))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

79×	`times-frac`
48×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
26×	`add-exp-log` `add-cbrt-cube`
15×	`associate-/r*`
9×	`cbrt-undiv` `div-exp`
7×	`div-inv` `associate-/l*`
5×	`prod-exp` `cbrt-unprod`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`frac-2neg` `clear-num`
1×	`associate-/r/` `fma-udef`

Counts

4 → 128

Calls

4 calls:

0.0ms	(fma 9.0 (/ (* x y) (* z c)) (/ b (* z c)))
3.0ms	(/ b (* z c))
5.0ms	(/ t (/ c a))
5.0ms	(/ (* x y) (* z c))

series195.0ms

Counts

4 → 12

Calls

4 calls:

104.0ms	(fma 9.0 (/ (* x y) (* z c)) (/ b (* z c)))
24.0ms	(/ b (* z c))
25.0ms	(/ t (/ c a))
40.0ms	(/ (* x y) (* z c))

simplify84.0ms

Algorithm

egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 1 (22.0ms)

Iter	Nodes	Cost
0	562	788
1	2572	705
2	5001	705

prune632.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

3.9b	(/ (* z c) y)
4.5b	(/ b (* z c))
5.8b	(/ x (/ (* z c) y))
6.3b	(/ t (/ c a))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

114×	`times-frac`
66×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
28×	`add-exp-log` `add-cbrt-cube`
24×	`associate-/r*`
12×	`cbrt-undiv` `div-exp` `div-inv`
10×	`associate-/l*`
4×	`pow1` `expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u` `add-log-exp`
3×	`prod-exp` `cbrt-unprod`
2×	`associate-/r/`

Counts

4 → 168

Calls

4 calls:

4.0ms	(/ (* z c) y)
3.0ms	(/ b (* z c))
5.0ms	(/ x (/ (* z c) y))
5.0ms	(/ t (/ c a))

series123.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(/ (* z c) y)
25.0ms	(/ b (* z c))
46.0ms	(/ x (/ (* z c) y))
27.0ms	(/ t (/ c a))

simplify95.0ms

Algorithm

egg-herbie

Counts

180 → 180

Iterations

Useful iterations: 1 (25.0ms)

Iter	Nodes	Cost
0	678	961
1	3045	882
2	5001	882

prune786.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

regimes643.0ms

Accuracy

16% (8.5b remaining)

Error of 8.8b against oracle of 0.3b and baseline of 10.5b

bsearch167.0ms

Steps

Iters	Range		Point
7	5.857094359846208e+69	1.2102413928282282e+71	1.9776186768340695e+70
8	-1.1761846536653847e+19	-7.93477866908414e+15	-3.906358862777155e+18

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	45	31
1	45	31

end0.0ms

sample1.1s

Algorithm

intervals

Results

624.0ms

12787×

body

valid