Details

sample23.0ms

Algorithm

intervals

Results

14.0ms

256×

body

valid

simplify84.0ms

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

localize15.0ms

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)
14.8b	(/ (- (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0))

rewrite32.0ms

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:

23.0ms	(+ (/ (- (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))

series163.0ms

Counts

3 → 9

Calls

3 calls:

61.0ms	(+ (/ (- (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)
74.0ms	(/ (- (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0))

simplify131.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 2 (27.0ms)

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

prune356.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b	(pow (fma x (fma 0.04481 x 0.99229) 1.0) 3)
0.1b	(fma x (fma 0.04481 x 0.99229) 1.0)
12.1b	(cbrt (pow (fma x (fma 0.04481 x 0.99229) 1.0) 3))
14.8b	(/ (- (fma 0.27061 x 2.30753)) (cbrt (pow (fma x (fma 0.04481 x 0.99229) 1.0) 3)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

150×	`times-frac`
144×	`cbrt-prod`
102×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
48×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
39×	`unpow-prod-down` `cube-prod`
16×	`neg-mul-1`
15×	`associate-/r*`
13×	`cube-mult` `unpow3` `sqr-pow`
10×	`associate-/l*`
7×	`add-exp-log`
6×	`add-cbrt-cube`
5×	`pow1`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow`
1×	`cbrt-undiv` `neg-sub0` `pow-to-exp` `pow-pow` `frac-2neg` `pow1/3` `div-sub` `distribute-frac-neg` `div-exp` `pow-exp` `clear-num` `rem-cbrt-cube` `fma-udef` `div-inv` `rem-cube-cbrt`

Counts

4 → 249

Calls

4 calls:

1.0ms	(pow (fma x (fma 0.04481 x 0.99229) 1.0) 3)
0.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
5.0ms	(cbrt (pow (fma x (fma 0.04481 x 0.99229) 1.0) 3))
9.0ms	(/ (- (fma 0.27061 x 2.30753)) (cbrt (pow (fma x (fma 0.04481 x 0.99229) 1.0) 3)))

series180.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(pow (fma x (fma 0.04481 x 0.99229) 1.0) 3)
25.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
26.0ms	(cbrt (pow (fma x (fma 0.04481 x 0.99229) 1.0) 3))
75.0ms	(/ (- (fma 0.27061 x 2.30753)) (cbrt (pow (fma x (fma 0.04481 x 0.99229) 1.0) 3)))

simplify76.0ms

Algorithm

egg-herbie

Counts

261 → 261

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	583	2781
1	1937	2552
2	5001	2495

prune560.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma 3.0191289436999997 x (- (fma 1.900161040244073 (pow x 2) 2.30753)))
0.1b	(fma 1.900161040244073 (pow x 2) 2.30753)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

2×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

2 → 20

Calls

2 calls:

0.0ms	(fma 3.0191289436999997 x (- (fma 1.900161040244073 (pow x 2) 2.30753)))
0.0ms	(fma 1.900161040244073 (pow x 2) 2.30753)

series77.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(fma 3.0191289436999997 x (- (fma 1.900161040244073 (pow x 2) 2.30753)))
47.0ms	(fma 1.900161040244073 (pow x 2) 2.30753)

simplify79.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	46	117
1	127	103
2	464	103
3	2346	103
4	5001	103

prune56.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes12.0ms

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

sample540.0ms

Algorithm

intervals

Results

447.0ms

8000×

body

valid