Details

sample16.0ms

Algorithm

intervals

Results

8.0ms

256×

body

valid

simplify82.0ms

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

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ (- (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0)) x)
0.1b	(fma x (fma 0.04481 x 0.99229) 1.0)
15.7b	(/ (- (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

60×	`times-frac`
48×	`*-un-lft-identity`
46×	`add-sqr-sqrt` `add-cube-cbrt`
34×	`fma-def`
21×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
10×	`associate-/l*`
7×	`neg-mul-1`
5×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`pow1` `expm1-log1p-u` `associate-/r*` `log1p-expm1-u`
2×	`neg-sub0` `div-sub` `div-inv`
1×	`cbrt-undiv` `+-commutative` `associate-+l-` `frac-2neg` `flip3-+` `distribute-frac-neg` `div-exp` `clear-num` `sum-log` `flip-+` `fma-udef` `distribute-lft-out`

Counts

3 → 118

Calls

3 calls:

13.0ms	(+ (/ (- (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0)) x)
1.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
5.0ms	(/ (- (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0))

series162.0ms

Counts

3 → 9

Calls

3 calls:

60.0ms	(+ (/ (- (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0)) x)
27.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
75.0ms	(/ (- (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0))

simplify126.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	335	784
1	1079	748
2	4829	733
3	5001	733

prune329.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma (- (fma 0.27061 x 2.30753)) (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0)) x)
0.1b	(fma x (fma 0.04481 x 0.99229) 1.0)
0.7b	(/ 1 (fma x (fma 0.04481 x 0.99229) 1.0))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
7×	`add-exp-log`
5×	`add-cbrt-cube`
4×	`pow1`
3×	`expm1-log1p-u` `associate-/r` `log1p-expm1-u` `associate-/l` `add-log-exp`
2×	`div-exp` `fma-udef`
1×	`cbrt-undiv` `rec-exp` `pow-flip` `frac-2neg` `1-exp` `clear-num` `div-inv` `inv-pow`

Counts

3 → 53

Calls

3 calls:

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

series132.0ms

Counts

3 → 9

Calls

3 calls:

62.0ms	(fma (- (fma 0.27061 x 2.30753)) (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0)) x)
24.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
45.0ms	(/ 1 (fma x (fma 0.04481 x 0.99229) 1.0))

simplify102.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 3 (96.0ms)

Iter	Nodes	Cost
0	216	370
1	707	323
2	3378	303
3	5001	298

prune136.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (- (fma 0.27061 x 2.30753)))
0.2b	(cbrt (- (fma 0.27061 x 2.30753)))
0.8b	(* (cbrt (- (fma 0.27061 x 2.30753))) (cbrt (- (fma 0.27061 x 2.30753))))
3.2b	(/ (cbrt (- (fma 0.27061 x 2.30753))) (fma x (fma 0.04481 x 0.99229) 1.0))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

108×	`cbrt-prod`
64×	`add-sqr-sqrt`
60×	`*-un-lft-identity`
56×	`add-cube-cbrt`
39×	`times-frac`
32×	`distribute-rgt-neg-in`
30×	`distribute-lft-neg-in`
15×	`swap-sqr`
13×	`associate-r` `associate-l` `associate-/l*`
11×	`pow1`
10×	`neg-mul-1`
8×	`add-exp-log` `pow1/3`
5×	`add-cbrt-cube`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`associate-/r*`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`cbrt-undiv` `pow2` `frac-2neg` `pow-plus` `div-exp` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `div-inv`

Counts

4 → 174

Calls

4 calls:

2.0ms	(cbrt (- (fma 0.27061 x 2.30753)))
2.0ms	(cbrt (- (fma 0.27061 x 2.30753)))
9.0ms	(* (cbrt (- (fma 0.27061 x 2.30753))) (cbrt (- (fma 0.27061 x 2.30753))))
5.0ms	(/ (cbrt (- (fma 0.27061 x 2.30753))) (fma x (fma 0.04481 x 0.99229) 1.0))

series771.0ms

Counts

4 → 12

Calls

4 calls:

167.0ms	(cbrt (- (fma 0.27061 x 2.30753)))
165.0ms	(cbrt (- (fma 0.27061 x 2.30753)))
203.0ms	(* (cbrt (- (fma 0.27061 x 2.30753))) (cbrt (- (fma 0.27061 x 2.30753))))
235.0ms	(/ (cbrt (- (fma 0.27061 x 2.30753))) (fma x (fma 0.04481 x 0.99229) 1.0))

simplify89.0ms

Algorithm

egg-herbie

Counts

186 → 186

Iterations

Useful iterations: 2 (67.0ms)

Iter	Nodes	Cost
0	763	2099
1	3301	2030
2	5002	1957

prune787.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes16.0ms

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	15	6
1	15	6

end0.0ms

sample331.0ms

Algorithm

intervals

Results

244.0ms

8000×

body

valid