Details

sample17.0ms

Algorithm

intervals

Results

8.0ms

256×

body

valid

simplify129.0ms

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

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (- x) 0.70711 (/ (* 0.70711 (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0)))
0.1b	(fma x (fma 0.04481 x 0.99229) 1.0)
0.1b	(* 0.70711 (fma 0.27061 x 2.30753))
13.7b	(/ (* 0.70711 (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-exp-log` `add-cbrt-cube`
10×	`add-sqr-sqrt`
8×	`add-cube-cbrt` `*-un-lft-identity`
6×	`pow1`
4×	`expm1-log1p-u` `fma-udef` `log1p-expm1-u` `add-log-exp`
3×	`times-frac` `associate-r` `associate-l` `associate-/r*`
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

4 → 65

Calls

4 calls:

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

series229.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(fma (- x) 0.70711 (/ (* 0.70711 (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0)))
27.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
48.0ms	(* 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))

simplify35.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	272	452
1	1121	382
2	5002	382

prune227.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (- x) 0.70711 (* 0.70711 (/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))))
0.1b	(fma x (fma 0.04481 x 0.99229) 1.0)
0.1b	(* 0.70711 (/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0)))
13.8b	(/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
20×	`add-cube-cbrt` `*-un-lft-identity`
19×	`times-frac`
13×	`associate-r`
11×	`add-exp-log` `add-cbrt-cube`
6×	`pow1`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`associate-l` `associate-/r` `associate-/l`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `fma-udef` `div-inv` `unswap-sqr`
1×	`frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `-commutative`

Counts

4 → 83

Calls

4 calls:

0.0ms	(fma (- x) 0.70711 (* 0.70711 (/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))))
0.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
7.0ms	(* 0.70711 (/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0)))
2.0ms	(/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))

series231.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(fma (- x) 0.70711 (* 0.70711 (/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))))
25.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
71.0ms	(* 0.70711 (/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0)))
63.0ms	(/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))

simplify42.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	338	694
1	1313	613
2	5001	613

prune283.0ms

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	(fma x (fma 0.04481 x 0.99229) 1.0)
0.1b	(* 0.70711 (fma 0.27061 x 2.30753))
0.2b	(/ 1 (/ (fma x (fma 0.04481 x 0.99229) 1.0) (* 0.70711 (fma 0.27061 x 2.30753))))
13.7b	(/ (fma x (fma 0.04481 x 0.99229) 1.0) (* 0.70711 (fma 0.27061 x 2.30753)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

36×	`times-frac`
32×	`add-exp-log`
26×	`add-sqr-sqrt`
24×	`add-cube-cbrt` `*-un-lft-identity`
20×	`add-cbrt-cube`
14×	`div-exp`
8×	`associate-/r*`
7×	`pow1` `cbrt-undiv`
6×	`div-inv` `associate-/l*`
5×	`prod-exp`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`rec-exp` `1-exp` `associate-r` `associate-l` `cbrt-unprod` `fma-udef`
2×	`frac-2neg` `clear-num`
1×	`distribute-rgt-in` `pow-flip` `distribute-lft-in` `pow-prod-down` `associate-/r/` `*-commutative` `inv-pow` `unswap-sqr`

Counts

4 → 113

Calls

4 calls:

0.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
3.0ms	(* 0.70711 (fma 0.27061 x 2.30753))
6.0ms	(/ 1 (/ (fma x (fma 0.04481 x 0.99229) 1.0) (* 0.70711 (fma 0.27061 x 2.30753))))
3.0ms	(/ (fma x (fma 0.04481 x 0.99229) 1.0) (* 0.70711 (fma 0.27061 x 2.30753)))

series214.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
50.0ms	(* 0.70711 (fma 0.27061 x 2.30753))
70.0ms	(/ 1 (/ (fma x (fma 0.04481 x 0.99229) 1.0) (* 0.70711 (fma 0.27061 x 2.30753))))
68.0ms	(/ (fma x (fma 0.04481 x 0.99229) 1.0) (* 0.70711 (fma 0.27061 x 2.30753)))

simplify53.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	427	907
1	1980	776
2	5001	736

prune353.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b	(* 0.70711 (fma 0.27061 x 2.30753))
0.2b	(/ 1 (/ (fma x (fma 0.04481 x 0.99229) 1.0) (cbrt (pow (* 0.70711 (fma 0.27061 x 2.30753)) 3))))
13.7b	(/ (fma x (fma 0.04481 x 0.99229) 1.0) (cbrt (pow (* 0.70711 (fma 0.27061 x 2.30753)) 3)))
18.6b	(cbrt (pow (* 0.70711 (fma 0.27061 x 2.30753)) 3))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

276×	`times-frac`
139×	`add-sqr-sqrt`
137×	`add-cube-cbrt` `*-un-lft-identity`
136×	`cbrt-prod`
48×	`associate-/r*`
19×	`add-exp-log`
17×	`cube-mult` `unpow-prod-down` `unpow3` `cube-prod` `sqr-pow`
11×	`add-cbrt-cube`
8×	`div-exp`
7×	`pow1`
6×	`div-inv` `associate-/l*`
4×	`cbrt-undiv` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`associate-r` `associate-l`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `fma-udef`
1×	`distribute-rgt-in` `pow-flip` `distribute-lft-in` `pow1/3` `pow-prod-down` `prod-exp` `associate-/r/` `*-commutative` `rem-cbrt-cube` `cbrt-unprod` `inv-pow` `unswap-sqr`

Counts

4 → 276

Calls

4 calls:

3.0ms	(* 0.70711 (fma 0.27061 x 2.30753))
12.0ms	(/ 1 (/ (fma x (fma 0.04481 x 0.99229) 1.0) (cbrt (pow (* 0.70711 (fma 0.27061 x 2.30753)) 3))))
4.0ms	(/ (fma x (fma 0.04481 x 0.99229) 1.0) (cbrt (pow (* 0.70711 (fma 0.27061 x 2.30753)) 3)))
1.0ms	(cbrt (pow (* 0.70711 (fma 0.27061 x 2.30753)) 3))

series244.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(* 0.70711 (fma 0.27061 x 2.30753))
72.0ms	(/ 1 (/ (fma x (fma 0.04481 x 0.99229) 1.0) (cbrt (pow (* 0.70711 (fma 0.27061 x 2.30753)) 3))))
70.0ms	(/ (fma x (fma 0.04481 x 0.99229) 1.0) (cbrt (pow (* 0.70711 (fma 0.27061 x 2.30753)) 3)))
50.0ms	(cbrt (pow (* 0.70711 (fma 0.27061 x 2.30753)) 3))

simplify108.0ms

Algorithm

egg-herbie

Counts

288 → 288

Iterations

Useful iterations: 2 (71.0ms)

Iter	Nodes	Cost
0	786	3499
1	3800	3071
2	5001	2825

prune681.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes13.0ms

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	7
1	15	7

end0.0ms

sample350.0ms

Algorithm

intervals

Results

263.0ms

8000×

body

valid