Details

sample45.0ms

Algorithm

intervals

Results

22.0ms

408×

body

valid

simplify138.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 6 (136.0ms)

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

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 8.7b

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)
4.7b	(/ (* t a) c)
10.2b	(/ (fma x (* 9.0 y) b) (* z c))

rewrite12.0ms

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:

1.0ms	(fma (- 4.0) (/ (* t a) c) (/ (fma x (* 9.0 y) b) (* z c)))
1.0ms	(fma x (* 9.0 y) b)
4.0ms	(/ (* t a) c)
4.0ms	(/ (fma x (* 9.0 y) b) (* z c))

series328.0ms

Counts

4 → 12

Calls

4 calls:

219.0ms	(fma (- 4.0) (/ (* t a) c) (/ (fma x (* 9.0 y) b) (* z c)))
31.0ms	(fma x (* 9.0 y) b)
20.0ms	(/ (* t a) c)
58.0ms	(/ (fma x (* 9.0 y) b) (* z c))

simplify50.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 2 (37.0ms)

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

prune355.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 4.3b

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma 9.0 (/ (* x y) (* z c)) (- (/ b (* z c)) (* 4.0 (/ (* a t) c))))
4.7b	(/ (* a t) c)
4.9b	(/ b (* z c))
9.4b	(/ (* x y) (* z c))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 79

Calls

4 calls:

1.0ms	(fma 9.0 (/ (* x y) (* z c)) (- (/ b (* z c)) (* 4.0 (/ (* a t) c))))
5.0ms	(/ (* a t) c)
5.0ms	(/ b (* z c))
6.0ms	(/ (* x y) (* z c))

series329.0ms

Counts

4 → 12

Calls

4 calls:

257.0ms	(fma 9.0 (/ (* x y) (* z c)) (- (/ b (* z c)) (* 4.0 (/ (* a t) c))))
20.0ms	(/ (* a t) c)
21.0ms	(/ b (* z c))
31.0ms	(/ (* x y) (* z c))

simplify56.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	366	480
1	1832	391
2	5001	391

prune590.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.8b

localize16.0ms

Local error

Found 4 expressions with local error:

3.3b	(/ (* z c) y)
4.7b	(/ (* a t) c)
4.9b	(/ b (* z c))
6.7b	(/ x (/ (* z c) y))

rewrite29.0ms

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` `expm1-log1p-u` `frac-2neg` `prod-exp` `clear-num` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
1×	`associate-/r/`

Counts

4 → 119

Calls

4 calls:

5.0ms	(/ (* z c) y)
5.0ms	(/ (* a t) c)
5.0ms	(/ b (* z c))
11.0ms	(/ x (/ (* z c) y))

series103.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(/ (* z c) y)
21.0ms	(/ (* a t) c)
22.0ms	(/ b (* z c))
35.0ms	(/ x (/ (* z c) y))

simplify68.0ms

Algorithm

egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 1 (18.0ms)

Iter	Nodes	Cost
0	465	594
1	2245	520
2	5001	520

prune534.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.3b

localize22.0ms

Local error

Found 4 expressions with local error:

4.7b	(/ (* a t) c)
4.9b	(/ b (* z c))
5.4b	(* (/ x (* z c)) y)
5.4b	(/ x (* z c))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-exp-log` `add-cbrt-cube`
15×	`add-sqr-sqrt`
13×	`add-cube-cbrt` `*-un-lft-identity`
12×	`times-frac`
8×	`cbrt-undiv` `div-exp`
7×	`associate-l` `prod-exp` `cbrt-unprod` `associate-/l*`
6×	`pow1`
5×	`associate-/r*`
4×	`expm1-log1p-u` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`frac-2neg` `associate-r` `clear-num`
1×	`pow-prod-down` `associate-l/` `-commutative` `unswap-sqr`

Counts

4 → 98

Calls

4 calls:

5.0ms	(/ (* a t) c)
5.0ms	(/ b (* z c))
7.0ms	(* (/ x (* z c)) y)
5.0ms	(/ x (* z c))

series107.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(/ (* a t) c)
29.0ms	(/ b (* z c))
34.0ms	(* (/ x (* z c)) y)
23.0ms	(/ x (* z c))

simplify59.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	373	425
1	1728	351
2	5001	351

prune390.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.2b

regimes728.0ms

Accuracy

29.6% (8.0b remaining)

Error of 8.1b against oracle of 0.1b and baseline of 11.5b

bsearch302.0ms

Steps

Iters	Range		Point
5	1.4191525171374846e+235	4.385424544624239e+235	3.170978639894234e+235
7	0.0006712911081351373	0.014595942767833709	0.0014459186212377087
6	-49163007.26937309	-7734045.553468821	-32082327.647484176
9	-3.34981171974524e+247	-8.793726186635205e+238	-1.252202118917326e+240

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	73	54
1	75	54
2	75	54

end0.0ms

sample1.2s

Algorithm

intervals

Results

635.0ms

12776×

body

valid