Details

sample62.0ms

Algorithm

intervals

Results

36.0ms

396×

body

valid

simplify145.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 6 (143.0ms)

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

prune33.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 8.3b

localize14.0ms

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))

series103.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(fma (- 4.0) (/ (* t a) c) (/ (fma x (* 9.0 y) b) (* z c)))
8.0ms	(fma x (* 9.0 y) b)
5.0ms	(/ (* t a) c)
21.0ms	(/ (fma x (* 9.0 y) b) (* z c))

simplify37.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 2 (30.0ms)

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

prune827.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 2.5b

localize14.0ms

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))

rewrite14.0ms

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))

series101.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(fma (- 4.0) (/ t (/ c a)) (/ (fma x (* 9.0 y) b) (* z c)))
8.0ms	(fma x (* 9.0 y) b)
6.0ms	(/ t (/ c a))
21.0ms	(/ (fma x (* 9.0 y) b) (* z c))

simplify54.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 2 (44.0ms)

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

prune1.4s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 2.5b

localize15.0ms

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))

rewrite17.0ms

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))
4.0ms	(/ (* x y) (* z c))

series47.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(fma 9.0 (/ (* x y) (* z c)) (/ b (* z c)))
5.0ms	(/ b (* z c))
6.0ms	(/ t (/ c a))
9.0ms	(/ (* x y) (* z c))

simplify63.0ms

Algorithm

egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 1 (15.0ms)

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

prune1.5s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

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))

rewrite22.0ms

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:

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

series27.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(/ (* z c) y)
6.0ms	(/ b (* z c))
10.0ms	(/ x (/ (* z c) y))
6.0ms	(/ t (/ c a))

simplify76.0ms

Algorithm

egg-herbie

Counts

180 → 180

Iterations

Useful iterations: 1 (19.0ms)

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

prune1.8s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

regimes1.3s

Accuracy

16% (8.5b remaining)

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

bsearch74.0ms

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 (0.0ms)

Iter	Nodes	Cost
0	45	31
1	45	31

end0.0ms

sample1.7s

Algorithm

intervals

Results

1.2s

12787×

body

valid