Details

sample33.0ms

Algorithm

intervals

Results

17.0ms

280×

body

valid

simplify17.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	21	5
1	40	4
2	69	4
3	104	4
4	146	4
5	160	4
6	160	4

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 3.8b

localize6.0ms

Local error

Found 2 expressions with local error:

3.1b	(/ (/ (/ 1.0 x) (fma z z 1.0)) y)
3.8b	(/ (/ 1.0 x) (fma z z 1.0))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

468×	`times-frac`
228×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
56×	`associate-/l*`
22×	`div-inv`
16×	`add-exp-log` `add-cbrt-cube`
9×	`cbrt-undiv` `div-exp`
6×	`associate-/r*`
2×	`pow1` `expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u` `associate-/l/` `add-log-exp`

Counts

2 → 266

Calls

2 calls:

14.0ms	(/ (/ (/ 1.0 x) (fma z z 1.0)) y)
6.0ms	(/ (/ 1.0 x) (fma z z 1.0))

series132.0ms

Counts

2 → 6

Calls

2 calls:

69.0ms	(/ (/ (/ 1.0 x) (fma z z 1.0)) y)
62.0ms	(/ (/ 1.0 x) (fma z z 1.0))

simplify107.0ms

Algorithm

egg-herbie

Counts

272 → 272

Iterations

Useful iterations: 1 (24.0ms)

Iter	Nodes	Cost
0	1148	2808
1	4638	2733
2	5002	2733

prune829.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 3.6b

localize9.0ms

Local error

Found 4 expressions with local error:

0.8b	(/ (/ 1.0 (sqrt (fma z z 1.0))) (* y (* (sqrt (fma z z 1.0)) x)))
3.3b	(* y (* (sqrt (fma z z 1.0)) x))
13.6b	(sqrt (fma z z 1.0))
13.6b	(sqrt (fma z z 1.0))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

58×	`times-frac`
35×	`add-sqr-sqrt`
33×	`add-cube-cbrt` `*-un-lft-identity`
30×	`add-exp-log` `add-cbrt-cube`
24×	`sqrt-prod`
22×	`associate-/l*`
11×	`pow1`
9×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`associate-l` `pow-prod-down` `div-inv`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`
1×	`frac-2neg` `associate-r` `clear-num` `associate-/r` `-commutative` `associate-/l/`

Counts

4 → 120

Calls

4 calls:

14.0ms	(/ (/ 1.0 (sqrt (fma z z 1.0))) (* y (* (sqrt (fma z z 1.0)) x)))
8.0ms	(* y (* (sqrt (fma z z 1.0)) x))
1.0ms	(sqrt (fma z z 1.0))
1.0ms	(sqrt (fma z z 1.0))

series242.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(/ (/ 1.0 (sqrt (fma z z 1.0))) (* y (* (sqrt (fma z z 1.0)) x)))
62.0ms	(* y (* (sqrt (fma z z 1.0)) x))
55.0ms	(sqrt (fma z z 1.0))
55.0ms	(sqrt (fma z z 1.0))

simplify59.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	567	1118
1	2247	960
2	5001	891

prune338.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 3.6b

localize9.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (/ 1.0 (sqrt (fma z z 1.0))) y)
1.2b	(/ (/ (/ 1.0 (sqrt (fma z z 1.0))) y) (* (sqrt (fma z z 1.0)) x))
13.6b	(sqrt (fma z z 1.0))
13.6b	(sqrt (fma z z 1.0))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

448×	`times-frac`
207×	`add-sqr-sqrt`
205×	`add-cube-cbrt` `*-un-lft-identity`
96×	`sqrt-prod`
92×	`associate-/l*`
30×	`add-exp-log` `add-cbrt-cube`
15×	`cbrt-undiv` `div-exp`
14×	`div-inv`
6×	`pow1`
4×	`expm1-log1p-u` `associate-/r*` `log1p-expm1-u` `add-log-exp`
3×	`prod-exp` `cbrt-unprod`
2×	`rem-sqrt-square` `frac-2neg` `sqrt-pow1` `pow1/2` `clear-num` `associate-/l/`

Counts

4 → 304

Calls

4 calls:

8.0ms	(/ (/ 1.0 (sqrt (fma z z 1.0))) y)
21.0ms	(/ (/ (/ 1.0 (sqrt (fma z z 1.0))) y) (* (sqrt (fma z z 1.0)) x))
1.0ms	(sqrt (fma z z 1.0))
1.0ms	(sqrt (fma z z 1.0))

series340.0ms

Counts

4 → 12

Calls

4 calls:

164.0ms	(/ (/ 1.0 (sqrt (fma z z 1.0))) y)
69.0ms	(/ (/ (/ 1.0 (sqrt (fma z z 1.0))) y) (* (sqrt (fma z z 1.0)) x))
56.0ms	(sqrt (fma z z 1.0))
50.0ms	(sqrt (fma z z 1.0))

simplify111.0ms

Algorithm

egg-herbie

Counts

316 → 316

Iterations

Useful iterations: 2 (79.0ms)

Iter	Nodes	Cost
0	1115	3443
1	4663	3199
2	5002	3178

prune811.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 3.6b

localize6.0ms

Local error

Found 3 expressions with local error:

0.3b	(/ 1.0 (* (fma z z 1.0) x))
3.1b	(/ (/ 1.0 (* (fma z z 1.0) x)) y)
3.8b	(* (fma z z 1.0) x)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 93

Calls

3 calls:

3.0ms	(/ 1.0 (* (fma z z 1.0) x))
6.0ms	(/ (/ 1.0 (* (fma z z 1.0) x)) y)
3.0ms	(* (fma z z 1.0) x)

series169.0ms

Counts

3 → 9

Calls

3 calls:

57.0ms	(/ 1.0 (* (fma z z 1.0) x))
66.0ms	(/ (/ 1.0 (* (fma z z 1.0) x)) y)
46.0ms	(* (fma z z 1.0) x)

simplify52.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	414	626
1	1769	553
2	5001	552

prune218.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 3.6b

regimes110.0ms

Accuracy

0% (1.1b remaining)

Error of 5.9b against oracle of 4.8b and baseline of 5.9b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	8
1	11	8

end0.0ms

sample398.0ms

Algorithm

intervals

Results

233.0ms

8642×

body

valid