Details

sample18.0ms

Algorithm

intervals

Results

9.0ms

256×

body

valid

simplify132.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 3 (6.0ms)

Iter	Nodes	Cost
0	31	9
1	59	9
2	90	9
3	116	7
4	130	7
5	148	7
6	188	7
7	264	7
8	304	7
9	377	7
10	580	7
11	851	7
12	1402	7
13	2787	7
14	3168	7
15	4321	7
16	5001	7

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.1b	(fma x (fma 0.04481 x 0.99229) 1.0)
0.1b	(* 0.70711 (fma 0.27061 x 2.30753))
11.4b	(/ (* 0.70711 (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-exp-log` `add-cbrt-cube`
9×	`add-sqr-sqrt`
7×	`add-cube-cbrt` `*-un-lft-identity`
5×	`pow1`
3×	`expm1-log1p-u` `times-frac` `associate-r` `associate-l` `associate-/r*` `fma-udef` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod`
1×	`distribute-rgt-in` `frac-2neg` `distribute-lft-in` `pow-prod-down` `clear-num` `-commutative` `div-inv` `associate-/l` `unswap-sqr`

Counts

3 → 55

Calls

3 calls:

0.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
3.0ms	(* 0.70711 (fma 0.27061 x 2.30753))
4.0ms	(/ (* 0.70711 (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0))

series159.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
51.0ms	(* 0.70711 (fma 0.27061 x 2.30753))
83.0ms	(/ (* 0.70711 (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0))

simplify33.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	238	335
1	1024	281
2	5002	281

prune162.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.1b	(fma x (fma 0.04481 x 0.99229) 1.0)
0.1b	(/ 0.70711 (/ (fma x (fma 0.04481 x 0.99229) 1.0) (fma 0.27061 x 2.30753)))
11.3b	(/ (fma x (fma 0.04481 x 0.99229) 1.0) (fma 0.27061 x 2.30753))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
53×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
16×	`associate-/r*`
10×	`add-exp-log` `add-cbrt-cube`
6×	`div-inv` `associate-/l*`
4×	`cbrt-undiv` `div-exp`
3×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`frac-2neg` `clear-num`
1×	`associate-/r/` `fma-udef`

Counts

3 → 111

Calls

3 calls:

0.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
5.0ms	(/ 0.70711 (/ (fma x (fma 0.04481 x 0.99229) 1.0) (fma 0.27061 x 2.30753)))
2.0ms	(/ (fma x (fma 0.04481 x 0.99229) 1.0) (fma 0.27061 x 2.30753))

series156.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
70.0ms	(/ 0.70711 (/ (fma x (fma 0.04481 x 0.99229) 1.0) (fma 0.27061 x 2.30753)))
60.0ms	(/ (fma x (fma 0.04481 x 0.99229) 1.0) (fma 0.27061 x 2.30753))

simplify55.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	449	1106
1	1869	1036
2	5002	1035

prune357.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (sqrt (fma x (fma 0.04481 x 0.99229) 1.0)) (fma 0.27061 x 2.30753))
0.2b	(* (sqrt (fma x (fma 0.04481 x 0.99229) 1.0)) (/ (sqrt (fma x (fma 0.04481 x 0.99229) 1.0)) (fma 0.27061 x 2.30753)))
11.3b	(sqrt (fma x (fma 0.04481 x 0.99229) 1.0))
11.3b	(sqrt (fma x (fma 0.04481 x 0.99229) 1.0))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

54×	`add-sqr-sqrt`
40×	`times-frac`
36×	`add-cube-cbrt` `*-un-lft-identity`
35×	`sqrt-prod`
22×	`associate-r`
11×	`add-exp-log` `add-cbrt-cube`
8×	`pow1`
6×	`associate-l` `associate-/l*` `unswap-sqr`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`associate-/r*`
2×	`cbrt-undiv` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `div-exp` `prod-exp` `cbrt-unprod` `div-inv`
1×	`frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `-commutative`

Counts

4 → 121

Calls

4 calls:

3.0ms	(/ (sqrt (fma x (fma 0.04481 x 0.99229) 1.0)) (fma 0.27061 x 2.30753))
14.0ms	(* (sqrt (fma x (fma 0.04481 x 0.99229) 1.0)) (/ (sqrt (fma x (fma 0.04481 x 0.99229) 1.0)) (fma 0.27061 x 2.30753)))
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))

series402.0ms

Counts

4 → 12

Calls

4 calls:

172.0ms	(/ (sqrt (fma x (fma 0.04481 x 0.99229) 1.0)) (fma 0.27061 x 2.30753))
60.0ms	(* (sqrt (fma x (fma 0.04481 x 0.99229) 1.0)) (/ (sqrt (fma x (fma 0.04481 x 0.99229) 1.0)) (fma 0.27061 x 2.30753)))
83.0ms	(sqrt (fma x (fma 0.04481 x 0.99229) 1.0))
85.0ms	(sqrt (fma x (fma 0.04481 x 0.99229) 1.0))

simplify59.0ms

Algorithm

egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	482	1294
1	1929	1150
2	5001	1106

prune416.0ms

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	14	7

end0.0ms

sample367.0ms

Algorithm

intervals

Results

276.0ms

8000×

body

valid