Details

sample19.0ms

Algorithm

intervals

Results

8.0ms

256×

body

valid

simplify83.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	22	8
1	39	6
2	66	6
3	98	6
4	108	6
5	130	6
6	158	6
7	211	6
8	277	6
9	512	6
10	881	6
11	1338	6
12	2728	6
13	5001	6

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 0.99229 (* x 0.04481))
0.0b	(+ 2.30753 (* x 0.27061))
0.1b	(* (+ 0.99229 (* x 0.04481)) x)
11.3b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
16×	`add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
8×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
6×	`pow1` `fma-def`
5×	`flip3-+` `flip-+`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`associate-r` `associate-l` `associate-/r` `associate-/l`
2×	`+-commutative` `associate-*l/` `sum-log` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

4 → 87

Calls

4 calls:

3.0ms	(+ 0.99229 (* x 0.04481))
3.0ms	(+ 2.30753 (* x 0.27061))
5.0ms	(* (+ 0.99229 (* x 0.04481)) x)
7.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

series201.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(+ 0.99229 (* x 0.04481))
33.0ms	(+ 2.30753 (* x 0.27061))
67.0ms	(* (+ 0.99229 (* x 0.04481)) x)
62.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

simplify47.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	400	644
1	1540	555
2	5001	539

prune258.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (/ 1 (/ (fma x (fma 0.04481 x 0.99229) 1.0) (fma 0.27061 x 2.30753))))
0.1b	(fma x (fma 0.04481 x 0.99229) 1.0)
0.1b	(/ 1 (/ (fma x (fma 0.04481 x 0.99229) 1.0) (fma 0.27061 x 2.30753)))
11.3b	(/ (fma x (fma 0.04481 x 0.99229) 1.0) (fma 0.27061 x 2.30753))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

288×	`times-frac`
218×	`add-sqr-sqrt`
209×	`*-un-lft-identity`
204×	`add-cube-cbrt`
132×	`prod-diff`
19×	`div-inv`
17×	`add-exp-log`
16×	`associate-/r*`
11×	`add-cbrt-cube`
8×	`div-exp`
6×	`associate-/l*` `add-log-exp`
5×	`pow1` `difference-of-squares`
4×	`cbrt-undiv` `expm1-log1p-u` `associate-/r/` `log1p-expm1-u`
3×	`fma-neg`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `distribute-lft-out--`
1×	`sub-neg` `flip3--` `pow-flip` `diff-log` `flip--` `fma-udef` `inv-pow`

Counts

4 → 273

Calls

4 calls:

18.0ms	(- x (/ 1 (/ (fma x (fma 0.04481 x 0.99229) 1.0) (fma 0.27061 x 2.30753))))
1.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
6.0ms	(/ 1 (/ (fma x (fma 0.04481 x 0.99229) 1.0) (fma 0.27061 x 2.30753)))
3.0ms	(/ (fma x (fma 0.04481 x 0.99229) 1.0) (fma 0.27061 x 2.30753))

series218.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(- x (/ 1 (/ (fma x (fma 0.04481 x 0.99229) 1.0) (fma 0.27061 x 2.30753))))
31.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
68.0ms	(/ 1 (/ (fma x (fma 0.04481 x 0.99229) 1.0) (fma 0.27061 x 2.30753)))
61.0ms	(/ (fma x (fma 0.04481 x 0.99229) 1.0) (fma 0.27061 x 2.30753))

simplify95.0ms

Algorithm

egg-herbie

Counts

285 → 285

Iterations

Useful iterations: 1 (26.0ms)

Iter	Nodes	Cost
0	1325	7919
1	5001	5321

prune432.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ 1 (cbrt (pow (/ (fma x (fma 0.04481 x 0.99229) 1.0) (fma 0.27061 x 2.30753)) 3)))
0.1b	(pow (/ (fma x (fma 0.04481 x 0.99229) 1.0) (fma 0.27061 x 2.30753)) 3)
11.3b	(/ (fma x (fma 0.04481 x 0.99229) 1.0) (fma 0.27061 x 2.30753))
16.4b	(cbrt (pow (/ (fma x (fma 0.04481 x 0.99229) 1.0) (fma 0.27061 x 2.30753)) 3))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

222×	`times-frac`
160×	`cbrt-prod`
142×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
78×	`unpow-prod-down` `cube-prod`
38×	`associate-/r*`
14×	`div-inv`
13×	`add-exp-log`
10×	`add-cbrt-cube`
6×	`pow1` `cube-mult` `unpow3` `associate-/l*` `sqr-pow`
4×	`expm1-log1p-u` `div-exp` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `cube-div` `pow-unpow`
2×	`cbrt-div` `pow-flip` `frac-2neg` `pow1/3` `pow-exp` `clear-num` `rem-cube-cbrt`
1×	`pow-to-exp` `rec-exp` `pow-pow` `1-exp` `associate-/r/` `rem-cbrt-cube` `inv-pow`

Counts

4 → 284

Calls

4 calls:

15.0ms	(/ 1 (cbrt (pow (/ (fma x (fma 0.04481 x 0.99229) 1.0) (fma 0.27061 x 2.30753)) 3)))
5.0ms	(pow (/ (fma x (fma 0.04481 x 0.99229) 1.0) (fma 0.27061 x 2.30753)) 3)
3.0ms	(/ (fma x (fma 0.04481 x 0.99229) 1.0) (fma 0.27061 x 2.30753))
5.0ms	(cbrt (pow (/ (fma x (fma 0.04481 x 0.99229) 1.0) (fma 0.27061 x 2.30753)) 3))

series278.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(/ 1 (cbrt (pow (/ (fma x (fma 0.04481 x 0.99229) 1.0) (fma 0.27061 x 2.30753)) 3)))
86.0ms	(pow (/ (fma x (fma 0.04481 x 0.99229) 1.0) (fma 0.27061 x 2.30753)) 3)
59.0ms	(/ (fma x (fma 0.04481 x 0.99229) 1.0) (fma 0.27061 x 2.30753))
66.0ms	(cbrt (pow (/ (fma x (fma 0.04481 x 0.99229) 1.0) (fma 0.27061 x 2.30753)) 3))

simplify105.0ms

Algorithm

egg-herbie

Counts

296 → 296

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	632	3264
1	2889	2653
2	5001	2628

prune482.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ 1 (cbrt (pow (/ (fma x (fma 0.04481 x 0.99229) 1.0) (fma 0.27061 x 2.30753)) 3)))
0.1b	(pow (/ (fma x (fma 0.04481 x 0.99229) 1.0) (fma 0.27061 x 2.30753)) 3)
11.3b	(/ (fma x (fma 0.04481 x 0.99229) 1.0) (fma 0.27061 x 2.30753))
16.4b	(cbrt (pow (/ (fma x (fma 0.04481 x 0.99229) 1.0) (fma 0.27061 x 2.30753)) 3))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

222×	`times-frac`
160×	`cbrt-prod`
142×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
78×	`unpow-prod-down` `cube-prod`
38×	`associate-/r*`
14×	`div-inv`
13×	`add-exp-log`
10×	`add-cbrt-cube`
6×	`pow1` `cube-mult` `unpow3` `associate-/l*` `sqr-pow`
4×	`expm1-log1p-u` `div-exp` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `cube-div` `pow-unpow`
2×	`cbrt-div` `pow-flip` `frac-2neg` `pow1/3` `pow-exp` `clear-num` `rem-cube-cbrt`
1×	`pow-to-exp` `rec-exp` `pow-pow` `1-exp` `associate-/r/` `rem-cbrt-cube` `inv-pow`

Counts

4 → 284

Calls

4 calls:

12.0ms	(/ 1 (cbrt (pow (/ (fma x (fma 0.04481 x 0.99229) 1.0) (fma 0.27061 x 2.30753)) 3)))
5.0ms	(pow (/ (fma x (fma 0.04481 x 0.99229) 1.0) (fma 0.27061 x 2.30753)) 3)
3.0ms	(/ (fma x (fma 0.04481 x 0.99229) 1.0) (fma 0.27061 x 2.30753))
5.0ms	(cbrt (pow (/ (fma x (fma 0.04481 x 0.99229) 1.0) (fma 0.27061 x 2.30753)) 3))

series290.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(/ 1 (cbrt (pow (/ (fma x (fma 0.04481 x 0.99229) 1.0) (fma 0.27061 x 2.30753)) 3)))
88.0ms	(pow (/ (fma x (fma 0.04481 x 0.99229) 1.0) (fma 0.27061 x 2.30753)) 3)
66.0ms	(/ (fma x (fma 0.04481 x 0.99229) 1.0) (fma 0.27061 x 2.30753))
67.0ms	(cbrt (pow (/ (fma x (fma 0.04481 x 0.99229) 1.0) (fma 0.27061 x 2.30753)) 3))

simplify98.0ms

Algorithm

egg-herbie

Counts

296 → 296

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	632	3276
1	2889	2662
2	5002	2628

prune568.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes14.0ms

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	18	8
1	18	8

end0.0ms

sample337.0ms

Algorithm

intervals

Results

248.0ms

8000×

body

valid