Details

sample30.0ms

Algorithm

intervals

Results

19.0ms

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 4 expressions with local error:

0.0b	(+ 2.30753 (* x 0.27061))
0.0b	(+ 0.99229 (* x 0.04481))
0.1b	(* (+ 0.99229 (* x 0.04481)) x)
14.6b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

rewrite22.0ms

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:

2.0ms	(+ 2.30753 (* x 0.27061))
2.0ms	(+ 0.99229 (* x 0.04481))
7.0ms	(* (+ 0.99229 (* x 0.04481)) x)
9.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

series196.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(+ 2.30753 (* x 0.27061))
32.0ms	(+ 0.99229 (* x 0.04481))
68.0ms	(* (+ 0.99229 (* x 0.04481)) x)
60.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

simplify47.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (39.0ms)

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

prune245.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(log1p (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
0.0b	(expm1 (log1p (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))))
0.1b	(* (+ 0.99229 (* x 0.04481)) x)
14.6b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 77

Calls

4 calls:

0.0ms	(log1p (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
0.0ms	(expm1 (log1p (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))))
7.0ms	(* (+ 0.99229 (* x 0.04481)) x)
9.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

series478.0ms

Counts

4 → 12

Calls

4 calls:

140.0ms	(log1p (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
210.0ms	(expm1 (log1p (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))))
67.0ms	(* (+ 0.99229 (* x 0.04481)) x)
61.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

simplify48.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	446	806
1	1705	703
2	5001	685

prune274.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* (+ 0.99229 (* x 0.04481)) x) (* (+ 0.99229 (* x 0.04481)) x))
1.5b	(/ (fma 0.27061 x 2.30753) (fma (pow (fma 0.04481 x 0.99229) 3) (pow x 3) (pow 1.0 3)))
12.4b	(- (* (* (+ 0.99229 (* x 0.04481)) x) (* (+ 0.99229 (* x 0.04481)) x)) (* 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
22.1b	(* (/ (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)))))

rewrite244.0ms

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:

20.0ms	(* (* (+ 0.99229 (* x 0.04481)) x) (* (+ 0.99229 (* x 0.04481)) x))
2.0ms	(/ (fma 0.27061 x 2.30753) (fma (pow (fma 0.04481 x 0.99229) 3) (pow x 3) (pow 1.0 3)))
27.0ms	(- (* (* (+ 0.99229 (* x 0.04481)) x) (* (+ 0.99229 (* x 0.04481)) x)) (* 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
186.0ms	(* (/ (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)))))

series312.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(* (* (+ 0.99229 (* x 0.04481)) x) (* (+ 0.99229 (* x 0.04481)) x))
91.0ms	(/ (fma 0.27061 x 2.30753) (fma (pow (fma 0.04481 x 0.99229) 3) (pow x 3) (pow 1.0 3)))
42.0ms	(- (* (* (+ 0.99229 (* x 0.04481)) x) (* (+ 0.99229 (* x 0.04481)) x)) (* 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
139.0ms	(* (/ (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)))))

simplify59.0ms

Algorithm

egg-herbie

Counts

162 → 162

Iterations

Useful iterations: 1 (27.0ms)

Iter	Nodes	Cost
0	1104	2931
1	5001	2429

prune650.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes14.0ms

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	22	10
1	22	10

end0.0ms

sample697.0ms

Algorithm

intervals

Results

592.0ms

8000×

body

valid