Details

sample15.0ms

Algorithm

intervals

Results

7.0ms

256×

body

valid

simplify98.0ms

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

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

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)
0.0b	(fma x (fma 0.04481 x 0.99229) 1.0)
16.9b	(/ (- (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0))

rewrite38.0ms

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:

29.0ms	(+ (/ (- (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0)) x)
0.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
4.0ms	(/ (- (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0))

series160.0ms

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)
25.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
74.0ms	(/ (- (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0))

simplify124.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 2 (26.0ms)

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

prune350.0ms

Filtered

127 candidates to 106 candidates (83.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ 1 (sqrt (fma x (fma 0.04481 x 0.99229) 1.0)))
0.1b	(/ (- (fma 0.27061 x 2.30753)) (sqrt (fma x (fma 0.04481 x 0.99229) 1.0)))
16.8b	(sqrt (fma x (fma 0.04481 x 0.99229) 1.0))
16.8b	(sqrt (fma x (fma 0.04481 x 0.99229) 1.0))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

78×	`times-frac`
66×	`add-sqr-sqrt`
64×	`add-cube-cbrt` `*-un-lft-identity`
51×	`sqrt-prod`
21×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
13×	`associate-/l*`
12×	`associate-/r*`
10×	`add-exp-log`
8×	`pow1` `add-cbrt-cube`
7×	`neg-mul-1`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow-flip` `sqrt-pow1` `pow1/2` `div-exp`
2×	`cbrt-undiv` `rem-sqrt-square` `frac-2neg` `clear-num` `div-inv`
1×	`neg-sub0` `rec-exp` `1-exp` `div-sub` `distribute-frac-neg` `inv-pow`

Counts

4 → 169

Calls

4 calls:

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

series491.0ms

Counts

4 → 12

Calls

4 calls:

110.0ms	(/ 1 (sqrt (fma x (fma 0.04481 x 0.99229) 1.0)))
204.0ms	(/ (- (fma 0.27061 x 2.30753)) (sqrt (fma x (fma 0.04481 x 0.99229) 1.0)))
89.0ms	(sqrt (fma x (fma 0.04481 x 0.99229) 1.0))
88.0ms	(sqrt (fma x (fma 0.04481 x 0.99229) 1.0))

simplify69.0ms

Algorithm

egg-herbie

Counts

181 → 181

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	589	1789
1	2298	1669
2	5002	1627

prune494.0ms

Filtered

181 candidates to 112 candidates (61.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (fma 0.27061 x 2.30753))
0.8b	(* (cbrt (fma 0.27061 x 2.30753)) (cbrt (fma 0.27061 x 2.30753)))
3.0b	(/ (cbrt (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0))
13.7b	(* (- (* (cbrt (fma 0.27061 x 2.30753)) (cbrt (fma 0.27061 x 2.30753)))) (/ (cbrt (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

58×	`add-sqr-sqrt`
42×	`add-cube-cbrt` `*-un-lft-identity`
41×	`cbrt-prod`
38×	`times-frac`
28×	`associate-r`
13×	`pow1` `add-exp-log`
12×	`associate-l`
9×	`add-cbrt-cube`
7×	`pow1/3` `unswap-sqr`
6×	`swap-sqr` `associate-/l*`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow-prod-down` `prod-exp` `associate-/r*` `cbrt-unprod`
2×	`cbrt-undiv` `div-exp` `pow-sqr` `*-commutative` `pow-prod-up` `div-inv`
1×	`distribute-lft-neg-out` `pow2` `distribute-lft-neg-in` `neg-mul-1` `distribute-rgt-neg-in` `frac-2neg` `pow-plus` `associate-*r/` `clear-num`

Counts

4 → 144

Calls

4 calls:

1.0ms	(cbrt (fma 0.27061 x 2.30753))
9.0ms	(* (cbrt (fma 0.27061 x 2.30753)) (cbrt (fma 0.27061 x 2.30753)))
3.0ms	(/ (cbrt (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0))
14.0ms	(* (- (* (cbrt (fma 0.27061 x 2.30753)) (cbrt (fma 0.27061 x 2.30753)))) (/ (cbrt (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0)))

series517.0ms

Counts

4 → 12

Calls

4 calls:

118.0ms	(cbrt (fma 0.27061 x 2.30753))
142.0ms	(* (cbrt (fma 0.27061 x 2.30753)) (cbrt (fma 0.27061 x 2.30753)))
188.0ms	(/ (cbrt (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0))
68.0ms	(* (- (* (cbrt (fma 0.27061 x 2.30753)) (cbrt (fma 0.27061 x 2.30753)))) (/ (cbrt (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0)))

simplify99.0ms

Algorithm

egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 2 (81.0ms)

Iter	Nodes	Cost
0	812	1769
1	3823	1661
2	5002	1605

prune484.0ms

Filtered

156 candidates to 119 candidates (76.3%)

Pruning

3 alts after pruning (0 fresh and 3 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

sample316.0ms

Algorithm

intervals

Results

232.0ms

8000×

body

valid