Details

sample17.0ms

Algorithm

intervals

Results

8.0ms

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

prune6.0ms

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)
14.4b	(/ (- (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0))

rewrite33.0ms

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:

24.0ms	(+ (/ (- (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))

series159.0ms

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)
25.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
73.0ms	(/ (- (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0))

simplify123.0ms

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

prune362.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma x (fma 0.04481 x 0.99229) 1.0)
1.6b	(expm1 (log1p (fma x (fma 0.04481 x 0.99229) 1.0)))
14.4b	(/ (- (fma 0.27061 x 2.30753)) (expm1 (log1p (fma x (fma 0.04481 x 0.99229) 1.0))))
14.8b	(log1p (fma x (fma 0.04481 x 0.99229) 1.0))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

30×	`times-frac`
27×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
12×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
10×	`associate-/l*`
6×	`add-exp-log` `add-cbrt-cube`
5×	`expm1-log1p-u`
4×	`pow1` `neg-mul-1` `log1p-expm1-u` `add-log-exp`
3×	`associate-/r*`
1×	`cbrt-undiv` `neg-sub0` `log1p-udef` `expm1-log1p` `frac-2neg` `div-sub` `log1p-expm1` `distribute-frac-neg` `div-exp` `clear-num` `fma-udef` `div-inv` `expm1-udef`

Counts

4 → 91

Calls

4 calls:

0.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
0.0ms	(expm1 (log1p (fma x (fma 0.04481 x 0.99229) 1.0)))
5.0ms	(/ (- (fma 0.27061 x 2.30753)) (expm1 (log1p (fma x (fma 0.04481 x 0.99229) 1.0))))
0.0ms	(log1p (fma x (fma 0.04481 x 0.99229) 1.0))

series476.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
143.0ms	(expm1 (log1p (fma x (fma 0.04481 x 0.99229) 1.0)))
210.0ms	(/ (- (fma 0.27061 x 2.30753)) (expm1 (log1p (fma x (fma 0.04481 x 0.99229) 1.0))))
98.0ms	(log1p (fma x (fma 0.04481 x 0.99229) 1.0))

simplify58.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	618	1189
1	2304	1002
2	5001	977

prune346.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize13.0ms

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)))
0.1b	(* (/ -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))))
14.3b	(sqrt (fma x (fma 0.04481 x 0.99229) 1.0))
14.3b	(sqrt (fma x (fma 0.04481 x 0.99229) 1.0))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

79×	`add-sqr-sqrt`
66×	`times-frac`
47×	`add-cube-cbrt` `*-un-lft-identity`
42×	`sqrt-prod`
22×	`associate-r` `associate-l`
18×	`add-exp-log` `add-cbrt-cube`
9×	`unswap-sqr`
8×	`pow1`
6×	`associate-/r*`
5×	`cbrt-undiv` `div-exp`
4×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`div-inv` `associate-/l*`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`
1×	`frac-times` `frac-2neg` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `*-commutative`

Counts

4 → 146

Calls

4 calls:

3.0ms	(/ (fma 0.27061 x 2.30753) (sqrt (fma x (fma 0.04481 x 0.99229) 1.0)))
23.0ms	(* (/ -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))

series429.0ms

Counts

4 → 12

Calls

4 calls:

173.0ms	(/ (fma 0.27061 x 2.30753) (sqrt (fma x (fma 0.04481 x 0.99229) 1.0)))
76.0ms	(* (/ -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))))
90.0ms	(sqrt (fma x (fma 0.04481 x 0.99229) 1.0))
90.0ms	(sqrt (fma x (fma 0.04481 x 0.99229) 1.0))

simplify82.0ms

Algorithm

egg-herbie

Counts

158 → 158

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	661	1751
1	2798	1607
2	5001	1522

prune467.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (sqrt (sqrt (fma x (fma 0.04481 x 0.99229) 1.0))) (sqrt (sqrt (fma x (fma 0.04481 x 0.99229) 1.0))))
14.3b	(sqrt (fma x (fma 0.04481 x 0.99229) 1.0))
14.3b	(sqrt (fma x (fma 0.04481 x 0.99229) 1.0))
14.3b	(sqrt (fma x (fma 0.04481 x 0.99229) 1.0))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

75×	`sqrt-prod`
52×	`add-sqr-sqrt`
35×	`sqrt-pow1`
30×	`pow1`
19×	`add-cube-cbrt` `*-un-lft-identity` `pow1/2`
15×	`swap-sqr`
9×	`associate-r` `associate-l` `pow-prod-up` `unswap-sqr`
6×	`add-exp-log` `add-cbrt-cube`
5×	`pow-prod-down` `pow-sqr`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`rem-sqrt-square`
1×	`pow2` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 122

Calls

4 calls:

12.0ms	(* (sqrt (sqrt (fma x (fma 0.04481 x 0.99229) 1.0))) (sqrt (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))
1.0ms	(sqrt (fma x (fma 0.04481 x 0.99229) 1.0))

series363.0ms

Counts

4 → 12

Calls

4 calls:

88.0ms	(* (sqrt (sqrt (fma x (fma 0.04481 x 0.99229) 1.0))) (sqrt (sqrt (fma x (fma 0.04481 x 0.99229) 1.0))))
88.0ms	(sqrt (fma x (fma 0.04481 x 0.99229) 1.0))
93.0ms	(sqrt (fma x (fma 0.04481 x 0.99229) 1.0))
94.0ms	(sqrt (fma x (fma 0.04481 x 0.99229) 1.0))

simplify44.0ms

Algorithm

egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	227	810
1	940	752
2	5002	708

prune368.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes21.0ms

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

sample345.0ms

Algorithm

intervals

Results

255.0ms

8000×

body

valid