Details

sample22.0ms

Algorithm

intervals

Results

14.0ms

363×

body

valid

simplify11.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	10	3
1	23	3
2	44	3
3	62	3
4	63	3
5	63	3

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(- 1.0 (* x y))
0.1b	(* x (- 1.0 (* x y)))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
9×	`prod-diff`
8×	`add-cube-cbrt` `*-un-lft-identity`
5×	`distribute-rgt-in` `distribute-lft-in`
4×	`pow1` `add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`sub-neg` `fma-neg` `associate-r` `associate-l`
2×	`expm1-log1p-u` `flip3--` `associate-*r/` `flip--` `log1p-expm1-u`
1×	`diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 52

Calls

2 calls:

2.0ms	(- 1.0 (* x y))
8.0ms	(* x (- 1.0 (* x y)))

series67.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(- 1.0 (* x y))
41.0ms	(* x (- 1.0 (* x y)))

simplify111.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 3 (102.0ms)

Iter	Nodes	Cost
0	171	294
1	703	256
2	3872	252
3	5002	250

prune98.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 1.0 (* x y))
0.1b	(* x (- 1.0 (* x y)))
49.5b	(fma (- y) x (* y x))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
9×	`add-cube-cbrt` `*-un-lft-identity` `prod-diff`
5×	`pow1` `add-exp-log` `distribute-rgt-in` `distribute-lft-in` `add-cbrt-cube` `add-log-exp`
3×	`expm1-log1p-u` `sub-neg` `fma-neg` `associate-r` `associate-l` `log1p-expm1-u`
2×	`flip3--` `associate-*r/` `flip--`
1×	`diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `unswap-sqr`

Counts

3 → 62

Calls

3 calls:

3.0ms	(- 1.0 (* x y))
8.0ms	(* x (- 1.0 (* x y)))
0.0ms	(fma (- y) x (* y x))

series92.0ms

Counts

3 → 9

Calls

3 calls:

26.0ms	(- 1.0 (* x y))
42.0ms	(* x (- 1.0 (* x y)))
24.0ms	(fma (- y) x (* y x))

simplify116.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 3 (110.0ms)

Iter	Nodes	Cost
0	181	344
1	748	299
2	4048	295
3	5002	293

prune158.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 1.0 (* x y))
0.1b	(* x (fma y x 1.0))
0.1b	(* (* x (fma y x 1.0)) (- 1.0 (* x y)))
5.9b	(/ (* (* x (fma y x 1.0)) (- 1.0 (* x y))) (+ 1.0 (* x y)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-exp-log` `add-cbrt-cube`
15×	`add-sqr-sqrt`
13×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`prod-diff`
7×	`prod-exp` `cbrt-unprod`
6×	`distribute-rgt-in` `distribute-lft-in` `associate-r` `add-log-exp`
4×	`expm1-log1p-u` `associate-r/` `associate-l*` `pow-prod-down` `log1p-expm1-u`
3×	`cbrt-undiv` `sub-neg` `flip3--` `times-frac` `fma-neg` `div-exp` `associate-/r*` `flip--`
2×	`associate-/r/` `*-commutative` `fma-udef` `associate-/l/`
1×	`frac-2neg` `flip3-+` `diff-log` `clear-num` `flip-+` `div-inv` `associate-/l*` `unswap-sqr`

Counts

4 → 103

Calls

4 calls:

2.0ms	(- 1.0 (* x y))
3.0ms	(* x (fma y x 1.0))
13.0ms	(* (* x (fma y x 1.0)) (- 1.0 (* x y)))
14.0ms	(/ (* (* x (fma y x 1.0)) (- 1.0 (* x y))) (+ 1.0 (* x y)))

series257.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(- 1.0 (* x y))
38.0ms	(* x (fma y x 1.0))
88.0ms	(* (* x (fma y x 1.0)) (- 1.0 (* x y)))
102.0ms	(/ (* (* x (fma y x 1.0)) (- 1.0 (* x y))) (+ 1.0 (* x y)))

simplify72.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	427	816
1	2621	673
2	5002	664

prune230.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b	(* x (fma y x 1.0))
0.1b	(/ (fma y x 1.0) (* x (fma y x 1.0)))
0.2b	(/ (/ (fma y x 1.0) (* x (fma y x 1.0))) (- 1.0 (* x y)))
0.2b	(/ 1 (/ (/ (fma y x 1.0) (* x (fma y x 1.0))) (- 1.0 (* x y))))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

237×	`times-frac`
110×	`add-sqr-sqrt`
108×	`add-cube-cbrt` `*-un-lft-identity`
54×	`add-exp-log`
34×	`add-cbrt-cube`
31×	`associate-/r*`
30×	`div-exp`
23×	`div-inv`
16×	`cbrt-undiv`
13×	`associate-/l*`
11×	`associate-/r/`
7×	`pow1`
6×	`prod-exp`
5×	`flip3--` `flip--`
4×	`expm1-log1p-u` `rec-exp` `1-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`frac-2neg` `associate-r` `associate-l` `clear-num`
2×	`fma-udef`
1×	`distribute-rgt-in` `pow-flip` `distribute-lft-in` `pow-prod-down` `*-commutative` `associate-/l/` `inv-pow` `unswap-sqr`

Counts

4 → 239

Calls

4 calls:

3.0ms	(* x (fma y x 1.0))
3.0ms	(/ (fma y x 1.0) (* x (fma y x 1.0)))
8.0ms	(/ (/ (fma y x 1.0) (* x (fma y x 1.0))) (- 1.0 (* x y)))
16.0ms	(/ 1 (/ (/ (fma y x 1.0) (* x (fma y x 1.0))) (- 1.0 (* x y))))

series139.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(* x (fma y x 1.0))
7.0ms	(/ (fma y x 1.0) (* x (fma y x 1.0)))
49.0ms	(/ (/ (fma y x 1.0) (* x (fma y x 1.0))) (- 1.0 (* x y)))
43.0ms	(/ 1 (/ (/ (fma y x 1.0) (* x (fma y x 1.0))) (- 1.0 (* x y))))

simplify55.0ms

Algorithm

egg-herbie

Counts

251 → 251

Iterations

Useful iterations: 1 (27.0ms)

Iter	Nodes	Cost
0	936	2996
1	5001	2418

prune488.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes39.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	8
1	14	8

end0.0ms

sample581.0ms

Algorithm

intervals

Results

412.0ms

10701×

body

valid