Details

sample16.0ms

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 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)
15.4b	(/ (- (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0))

rewrite37.0ms

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:

28.0ms	(+ (/ (- (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:

63.0ms	(+ (/ (- (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))

simplify130.0ms

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

prune364.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (- (fma 0.27061 x 2.30753)) (sqrt (fma x (fma 0.04481 x 0.99229) 1.0)))
0.2b	(* (/ 1 (sqrt (fma x (fma 0.04481 x 0.99229) 1.0))) (/ (- (fma 0.27061 x 2.30753)) (sqrt (fma x (fma 0.04481 x 0.99229) 1.0))))
15.4b	(sqrt (fma x (fma 0.04481 x 0.99229) 1.0))
15.4b	(sqrt (fma x (fma 0.04481 x 0.99229) 1.0))

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

160×	`times-frac`
149×	`add-sqr-sqrt`
107×	`*-un-lft-identity`
101×	`add-cube-cbrt`
89×	`sqrt-prod`
64×	`associate-r`
39×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
28×	`add-exp-log`
22×	`associate-l`
18×	`add-cbrt-cube`
15×	`unswap-sqr`
13×	`neg-mul-1`
10×	`associate-/l*`
9×	`div-exp`
8×	`pow1` `prod-exp`
6×	`associate-/r*`
5×	`cbrt-undiv`
4×	`expm1-log1p-u` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`div-inv`
2×	`rem-sqrt-square` `rec-exp` `sqrt-pow1` `pow1/2` `1-exp` `distribute-frac-neg`
1×	`neg-sub0` `frac-times` `frac-2neg` `div-sub` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `*-commutative` `distribute-rgt-neg-out`

Counts

4 → 250

Calls

4 calls:

5.0ms	(/ (- (fma 0.27061 x 2.30753)) (sqrt (fma x (fma 0.04481 x 0.99229) 1.0)))
48.0ms	(* (/ 1 (sqrt (fma x (fma 0.04481 x 0.99229) 1.0))) (/ (- (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))

series598.0ms

Counts

4 → 12

Calls

4 calls:

206.0ms	(/ (- (fma 0.27061 x 2.30753)) (sqrt (fma x (fma 0.04481 x 0.99229) 1.0)))
211.0ms	(* (/ 1 (sqrt (fma x (fma 0.04481 x 0.99229) 1.0))) (/ (- (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))
92.0ms	(sqrt (fma x (fma 0.04481 x 0.99229) 1.0))

simplify113.0ms

Algorithm

egg-herbie

Counts

262 → 262

Iterations

Useful iterations: 2 (81.0ms)

Iter	Nodes	Cost
0	959	3240
1	4692	2932
2	5001	2930

prune654.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (fma 0.27061 x 2.30753))
0.1b	(fma x (fma 0.04481 x 0.99229) 1.0)
0.5b	(fma (/ (- (sqrt (fma 0.27061 x 2.30753))) 1) (/ (sqrt (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0)) x)
2.3b	(/ (sqrt (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
20×	`add-cube-cbrt` `*-un-lft-identity`
18×	`times-frac`
15×	`sqrt-prod`
6×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
5×	`pow1`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`associate-/r*`
2×	`fma-udef`
1×	`cbrt-undiv` `rem-sqrt-square` `frac-2neg` `sqrt-pow1` `pow1/2` `div-exp` `clear-num` `div-inv`

Counts

4 → 76

Calls

4 calls:

1.0ms	(sqrt (fma 0.27061 x 2.30753))
0.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
0.0ms	(fma (/ (- (sqrt (fma 0.27061 x 2.30753))) 1) (/ (sqrt (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0)) x)
3.0ms	(/ (sqrt (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0))

series422.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(sqrt (fma 0.27061 x 2.30753))
26.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
228.0ms	(fma (/ (- (sqrt (fma 0.27061 x 2.30753))) 1) (/ (sqrt (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0)) x)
131.0ms	(/ (sqrt (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0))

simplify42.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	348	749
1	1128	676
2	5001	653

prune257.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes15.0ms

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

sample347.0ms

Algorithm

intervals

Results

257.0ms

8000×

body

valid