Details

sample19.0ms

Algorithm

intervals

Results

10.0ms

256×

body

valid

simplify11.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	28	8
1	50	8
2	69	8
3	75	8
4	75	8

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.0b

Counts

2 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 0.99229 (* x 0.04481))
0.0b	(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
0.1b	(* x (+ 0.99229 (* x 0.04481)))
13.4b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

312×	`*-un-lft-identity`
126×	`times-frac`
108×	`distribute-lft-out`
101×	`add-sqr-sqrt`
94×	`add-cube-cbrt`
93×	`prod-diff`
57×	`associate-l`
31×	`fma-neg`
10×	`associate-/r/`
8×	`add-exp-log` `flip3-+` `add-cbrt-cube` `flip-+` `add-log-exp`
6×	`pow1`
5×	`associate-r` `associate-/r` `div-inv` `associate-/l`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`+-commutative` `fma-def`
2×	`distribute-rgt-in` `distribute-lft-in` `associate-*r/` `associate-/l/` `difference-of-squares`
1×	`cbrt-undiv` `sub-neg` `flip3--` `frac-2neg` `diff-log` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `sum-log` `*-commutative` `flip--` `cbrt-unprod` `distribute-lft-out--` `unswap-sqr`

Counts

4 → 240

Calls

4 calls:

6.0ms	(+ 0.99229 (* x 0.04481))
34.0ms	(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
9.0ms	(* x (+ 0.99229 (* x 0.04481)))
18.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series252.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(+ 0.99229 (* x 0.04481))
88.0ms	(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
67.0ms	(* x (+ 0.99229 (* x 0.04481)))
64.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify98.0ms

Algorithm

egg-herbie

Counts

252 → 252

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	594	3292
1	2371	2376
2	5001	2275

prune293.0ms

Filtered

252 candidates to 113 candidates (44.8%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	249	3	252
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	250	3	253

Merged error: 0b

Counts

253 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma x (fma 0.04481 x 0.99229) 1.0)
0.1b	(pow (/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0)) 3)
13.4b	(/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))
21.0b	(cbrt (pow (/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0)) 3))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

29×	`*-un-lft-identity`
28×	`add-sqr-sqrt` `add-cube-cbrt`
27×	`times-frac`
26×	`unpow-prod-down`
18×	`cbrt-prod`
9×	`add-exp-log` `add-cbrt-cube`
5×	`pow1`
4×	`expm1-log1p-u` `pow-unpow` `log1p-expm1-u` `add-log-exp`
3×	`associate-/r` `div-inv` `associate-/l`
2×	`cbrt-undiv` `unpow3` `div-exp` `pow-exp` `rem-cbrt-cube` `rem-cube-cbrt` `sqr-pow`
1×	`pow-to-exp` `pow-pow` `frac-2neg` `pow1/3` `clear-num` `fma-udef`

Counts

4 → 102

Calls

4 calls:

1.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
4.0ms	(pow (/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0)) 3)
3.0ms	(/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))
7.0ms	(cbrt (pow (/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0)) 3))

series262.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
101.0ms	(pow (/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0)) 3)
69.0ms	(/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))
64.0ms	(cbrt (pow (/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0)) 3))

simplify51.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	396	869
1	1539	821
2	5001	806

prune269.0ms

Filtered

114 candidates to 85 candidates (74.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	112	2	114
Fresh	2	0	2
Picked	0	1	1
Done	0	0	0
Total	114	3	117

Merged error: 0b

Counts

117 → 3

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b	(pow (/ (fma 0.27061 x 2.30753) (cbrt (pow (fma x (fma 0.04481 x 0.99229) 1.0) 3))) 3)
11.2b	(cbrt (pow (fma x (fma 0.04481 x 0.99229) 1.0) 3))
13.4b	(/ (fma 0.27061 x 2.30753) (cbrt (pow (fma x (fma 0.04481 x 0.99229) 1.0) 3)))
21.0b	(cbrt (pow (/ (fma 0.27061 x 2.30753) (cbrt (pow (fma x (fma 0.04481 x 0.99229) 1.0) 3))) 3))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

130×	`cbrt-prod`
107×	`unpow-prod-down`
99×	`times-frac`
76×	`*-un-lft-identity`
74×	`add-sqr-sqrt` `add-cube-cbrt`
13×	`unpow3` `sqr-pow`
11×	`associate-/r*` `add-cbrt-cube`
9×	`add-exp-log`
5×	`pow1` `pow-unpow`
4×	`cbrt-undiv` `expm1-log1p-u` `rem-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`div-inv` `associate-/l*` `rem-cube-cbrt`
2×	`pow1/3` `div-exp` `pow-exp`
1×	`pow-to-exp` `pow-pow` `frac-2neg` `clear-num`

Counts

4 → 194

Calls

4 calls:

10.0ms	(pow (/ (fma 0.27061 x 2.30753) (cbrt (pow (fma x (fma 0.04481 x 0.99229) 1.0) 3))) 3)
2.0ms	(cbrt (pow (fma x (fma 0.04481 x 0.99229) 1.0) 3))
5.0ms	(/ (fma 0.27061 x 2.30753) (cbrt (pow (fma x (fma 0.04481 x 0.99229) 1.0) 3)))
8.0ms	(cbrt (pow (/ (fma 0.27061 x 2.30753) (cbrt (pow (fma x (fma 0.04481 x 0.99229) 1.0) 3))) 3))

series263.0ms

Counts

4 → 12

Calls

4 calls:

96.0ms	(pow (/ (fma 0.27061 x 2.30753) (cbrt (pow (fma x (fma 0.04481 x 0.99229) 1.0) 3))) 3)
32.0ms	(cbrt (pow (fma x (fma 0.04481 x 0.99229) 1.0) 3))
64.0ms	(/ (fma 0.27061 x 2.30753) (cbrt (pow (fma x (fma 0.04481 x 0.99229) 1.0) 3)))
71.0ms	(cbrt (pow (/ (fma 0.27061 x 2.30753) (cbrt (pow (fma x (fma 0.04481 x 0.99229) 1.0) 3))) 3))

simplify76.0ms

Algorithm

egg-herbie

Counts

206 → 206

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	704	2238
1	2265	2060
2	5001	2000

prune426.0ms

Filtered

206 candidates to 116 candidates (56.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	206	0	206
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	206	3	209

Merged error: 0b

Counts

209 → 3

localize17.0ms

Local error

Found 4 expressions with local error:

13.8b	(cbrt (fma x (fma 0.04481 x 0.99229) 1.0))
13.8b	(cbrt (fma x (fma 0.04481 x 0.99229) 1.0))
13.8b	(cbrt (fma x (fma 0.04481 x 0.99229) 1.0))
21.0b	(cbrt (pow (/ (/ (fma 0.27061 x 2.30753) (* (cbrt (fma x (fma 0.04481 x 0.99229) 1.0)) (cbrt (fma x (fma 0.04481 x 0.99229) 1.0)))) (cbrt (fma x (fma 0.04481 x 0.99229) 1.0))) 3))

rewrite147.0ms

Algorithm

rewrite-expression-head

Rules

1071×	`cbrt-prod`
996×	`times-frac`
653×	`add-sqr-sqrt`
514×	`unpow-prod-down`
510×	`*-un-lft-identity`
509×	`add-cube-cbrt`
108×	`swap-sqr` `associate-r` `associate-l`
72×	`unswap-sqr`
18×	`*-commutative`
7×	`div-inv`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`rem-cbrt-cube`
1×	`pow-unpow` `unpow3` `sqr-pow`

Counts

4 → 570

Calls

4 calls:

1.0ms	(cbrt (fma x (fma 0.04481 x 0.99229) 1.0))
1.0ms	(cbrt (fma x (fma 0.04481 x 0.99229) 1.0))
1.0ms	(cbrt (fma x (fma 0.04481 x 0.99229) 1.0))
73.0ms	(cbrt (pow (/ (/ (fma 0.27061 x 2.30753) (* (cbrt (fma x (fma 0.04481 x 0.99229) 1.0)) (cbrt (fma x (fma 0.04481 x 0.99229) 1.0)))) (cbrt (fma x (fma 0.04481 x 0.99229) 1.0))) 3))

series544.0ms

Counts

4 → 12

Calls

4 calls:

159.0ms	(cbrt (fma x (fma 0.04481 x 0.99229) 1.0))
157.0ms	(cbrt (fma x (fma 0.04481 x 0.99229) 1.0))
156.0ms	(cbrt (fma x (fma 0.04481 x 0.99229) 1.0))
71.0ms	(cbrt (pow (/ (/ (fma 0.27061 x 2.30753) (* (cbrt (fma x (fma 0.04481 x 0.99229) 1.0)) (cbrt (fma x (fma 0.04481 x 0.99229) 1.0)))) (cbrt (fma x (fma 0.04481 x 0.99229) 1.0))) 3))

simplify196.0ms

Algorithm

egg-herbie

Counts

582 → 582

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5001	15271

prune1.3s

Filtered

582 candidates to 328 candidates (56.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	582	0	582
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	582	3	585

Merged error: 0b

Counts

585 → 3

regimes20.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	7

end0.0ms

sample318.0ms

Algorithm

intervals

Results

234.0ms

8000×

body

valid