Details

sample17.0ms

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

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 0.99229 (* x 0.04481))
0.0b	(+ 2.30753 (* x 0.27061))
0.1b	(* (+ 0.99229 (* x 0.04481)) x)
17.7b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
16×	`add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
8×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
6×	`pow1` `fma-def`
5×	`flip3-+` `flip-+`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`associate-r` `associate-l` `associate-/r` `associate-/l`
2×	`+-commutative` `associate-*l/` `sum-log` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

4 → 87

Calls

4 calls:

3.0ms	(+ 0.99229 (* x 0.04481))
3.0ms	(+ 2.30753 (* x 0.27061))
5.0ms	(* (+ 0.99229 (* x 0.04481)) x)
6.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

series202.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(+ 0.99229 (* x 0.04481))
39.0ms	(+ 2.30753 (* x 0.27061))
64.0ms	(* (+ 0.99229 (* x 0.04481)) x)
64.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

simplify48.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	400	644
1	1540	555
2	5001	539

prune265.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

6.4b	(* (/ 1 (* (cbrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))) (cbrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))) (/ (fma 0.27061 x 2.30753) (cbrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))))
18.1b	(cbrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
18.1b	(cbrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
18.1b	(cbrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-exp-log`
43×	`add-sqr-sqrt`
33×	`times-frac`
25×	`*-un-lft-identity`
24×	`associate-r`
22×	`add-cube-cbrt`
21×	`cbrt-prod`
20×	`cbrt-div` `prod-exp`
18×	`add-cbrt-cube`
15×	`div-exp` `associate-l`
10×	`flip3-+` `associate-/r/` `flip-+`
9×	`unswap-sqr`
8×	`cbrt-unprod`
7×	`cbrt-undiv`
6×	`pow1`
5×	`frac-times`
4×	`expm1-log1p-u` `rec-exp` `1-exp` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `associate-r/` `associate-l/`
2×	`div-inv`
1×	`pow-prod-down` `*-commutative`

Counts

4 → 127

Calls

4 calls:

24.0ms	(* (/ 1 (* (cbrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))) (cbrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))) (/ (fma 0.27061 x 2.30753) (cbrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))))
2.0ms	(cbrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
2.0ms	(cbrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
3.0ms	(cbrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

series517.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(* (/ 1 (* (cbrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))) (cbrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))) (/ (fma 0.27061 x 2.30753) (cbrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))))
153.0ms	(cbrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
153.0ms	(cbrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
153.0ms	(cbrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

simplify100.0ms

Algorithm

egg-herbie

Counts

139 → 139

Iterations

Useful iterations: 2 (71.0ms)

Iter	Nodes	Cost
0	742	2728
1	3290	2385
2	5002	2176

prune591.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* (+ 0.99229 (* x 0.04481)) x) (* (+ 0.99229 (* x 0.04481)) x))
1.7b	(/ (fma 0.27061 x 2.30753) (fma (pow (fma 0.04481 x 0.99229) 3) (pow x 3) (pow 1.0 3)))
15.0b	(- (* (* (+ 0.99229 (* x 0.04481)) x) (* (+ 0.99229 (* x 0.04481)) x)) (* 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
25.8b	(* (/ (fma 0.27061 x 2.30753) (fma (pow (fma 0.04481 x 0.99229) 3) (pow x 3) (pow 1.0 3))) (+ (* 1.0 1.0) (- (* (* (+ 0.99229 (* x 0.04481)) x) (* (+ 0.99229 (* x 0.04481)) x)) (* 1.0 (* (+ 0.99229 (* x 0.04481)) x)))))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

69×	`associate-*l/`
45×	`pow1`
32×	`flip3-+` `flip-+`
30×	`associate-*r/`
25×	`add-sqr-sqrt`
23×	`add-exp-log` `add-cbrt-cube`
20×	`add-cube-cbrt` `*-un-lft-identity`
19×	`times-frac`
18×	`pow-prod-down`
16×	`frac-sub`
14×	`frac-times` `associate-l`
10×	`prod-exp` `cbrt-unprod`
6×	`add-log-exp`
4×	`expm1-log1p-u` `associate-r` `pow-sqr` `pow-prod-up` `log1p-expm1-u` `sub-div`
3×	`associate-/r` `associate-/l`
2×	`cbrt-undiv` `pow-plus` `div-exp` `*-commutative` `div-inv` `unswap-sqr`
1×	`pow2` `distribute-rgt-in` `sub-neg` `flip3--` `distribute-rgt-out--` `frac-2neg` `distribute-lft-in` `fma-neg` `diff-log` `swap-sqr` `prod-diff` `clear-num` `flip--`

Counts

4 → 150

Calls

4 calls:

10.0ms	(* (* (+ 0.99229 (* x 0.04481)) x) (* (+ 0.99229 (* x 0.04481)) x))
3.0ms	(/ (fma 0.27061 x 2.30753) (fma (pow (fma 0.04481 x 0.99229) 3) (pow x 3) (pow 1.0 3)))
13.0ms	(- (* (* (+ 0.99229 (* x 0.04481)) x) (* (+ 0.99229 (* x 0.04481)) x)) (* 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
15.0ms	(* (/ (fma 0.27061 x 2.30753) (fma (pow (fma 0.04481 x 0.99229) 3) (pow x 3) (pow 1.0 3))) (+ (* 1.0 1.0) (- (* (* (+ 0.99229 (* x 0.04481)) x) (* (+ 0.99229 (* x 0.04481)) x)) (* 1.0 (* (+ 0.99229 (* x 0.04481)) x)))))

series322.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(* (* (+ 0.99229 (* x 0.04481)) x) (* (+ 0.99229 (* x 0.04481)) x))
92.0ms	(/ (fma 0.27061 x 2.30753) (fma (pow (fma 0.04481 x 0.99229) 3) (pow x 3) (pow 1.0 3)))
40.0ms	(- (* (* (+ 0.99229 (* x 0.04481)) x) (* (+ 0.99229 (* x 0.04481)) x)) (* 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
146.0ms	(* (/ (fma 0.27061 x 2.30753) (fma (pow (fma 0.04481 x 0.99229) 3) (pow x 3) (pow 1.0 3))) (+ (* 1.0 1.0) (- (* (* (+ 0.99229 (* x 0.04481)) x) (* (+ 0.99229 (* x 0.04481)) x)) (* 1.0 (* (+ 0.99229 (* x 0.04481)) x)))))

simplify57.0ms

Algorithm

egg-herbie

Counts

162 → 162

Iterations

Useful iterations: 1 (29.0ms)

Iter	Nodes	Cost
0	1104	2931
1	5001	2429

prune641.0ms

Pruning

2 alts after pruning (0 fresh and 2 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	25	21
1	25	21

end0.0ms

sample339.0ms

Algorithm

intervals

Results

251.0ms

8000×

body

valid