Details

sample17.0ms

Algorithm

intervals

Results

7.0ms

294×

body

valid

simplify8.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	13	4
1	24	3
2	28	3
3	30	3
4	30	3

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (+ (/ x 2.0) (* y x)) z)
0.0b	(+ (/ x 2.0) (* y x))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

16×	`fma-def`
12×	`*-un-lft-identity`
10×	`add-sqr-sqrt` `add-cube-cbrt`
9×	`times-frac` `add-log-exp`
4×	`sum-log`
2×	`pow1` `add-exp-log` `+-commutative` `expm1-log1p-u` `flip3-+` `add-cbrt-cube` `flip-+` `log1p-expm1-u`
1×	`associate-+l+` `div-inv` `distribute-lft-out`

Counts

2 → 45

Calls

2 calls:

8.0ms	(+ (+ (/ x 2.0) (* y x)) z)
7.0ms	(+ (/ x 2.0) (* y x))

series71.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(+ (+ (/ x 2.0) (* y x)) z)
39.0ms	(+ (/ x 2.0) (* y x))

simplify55.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 3 (51.0ms)

Iter	Nodes	Cost
0	176	189
1	599	171
2	2217	167
3	5001	166

prune119.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ x 2.0) (* y x))
0.0b	(- (/ x 2.0) (* y x))
0.1b	(* (- (/ x 2.0) (* y x)) (fma x y (/ x 2.0)))
26.2b	(/ (* (- (/ x 2.0) (* y x)) (fma x y (/ x 2.0))) (- (/ x 2.0) (* y x)))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 131

Calls

4 calls:

8.0ms	(- (/ x 2.0) (* y x))
7.0ms	(- (/ x 2.0) (* y x))
12.0ms	(* (- (/ x 2.0) (* y x)) (fma x y (/ x 2.0)))
14.0ms	(/ (* (- (/ x 2.0) (* y x)) (fma x y (/ x 2.0))) (- (/ x 2.0) (* y x)))

series252.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(- (/ x 2.0) (* y x))
43.0ms	(- (/ x 2.0) (* y x))
123.0ms	(* (- (/ x 2.0) (* y x)) (fma x y (/ x 2.0)))
39.0ms	(/ (* (- (/ x 2.0) (* y x)) (fma x y (/ x 2.0))) (- (/ x 2.0) (* y x)))

simplify65.0ms

Algorithm

egg-herbie

Counts

143 → 143

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	363	1116
1	1933	960
2	5002	908

prune390.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ x 2.0) (* y x))
0.0b	(- (/ x 2.0) (* y x))
0.0b	(/ (- (/ x 2.0) (* y x)) (fma x y (/ x 2.0)))
0.0b	(/ (- (/ x 2.0) (* y x)) (/ (- (/ x 2.0) (* y x)) (fma x y (/ x 2.0))))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

120×	`times-frac`
82×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
26×	`fma-neg` `prod-diff`
16×	`associate-/r*`
11×	`add-exp-log` `add-cbrt-cube`
10×	`div-inv`
8×	`add-log-exp`
6×	`associate-/l*`
4×	`pow1` `cbrt-undiv` `expm1-log1p-u` `flip3--` `div-exp` `flip--` `log1p-expm1-u` `associate-/l/`
2×	`sub-neg` `frac-2neg` `diff-log` `div-sub` `clear-num`
1×	`associate-/r/`

Counts

4 → 187

Calls

4 calls:

7.0ms	(- (/ x 2.0) (* y x))
8.0ms	(- (/ x 2.0) (* y x))
9.0ms	(/ (- (/ x 2.0) (* y x)) (fma x y (/ x 2.0)))
19.0ms	(/ (- (/ x 2.0) (* y x)) (/ (- (/ x 2.0) (* y x)) (fma x y (/ x 2.0))))

series200.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(- (/ x 2.0) (* y x))
46.0ms	(- (/ x 2.0) (* y x))
77.0ms	(/ (- (/ x 2.0) (* y x)) (fma x y (/ x 2.0)))
37.0ms	(/ (- (/ x 2.0) (* y x)) (/ (- (/ x 2.0) (* y x)) (fma x y (/ x 2.0))))

simplify103.0ms

Algorithm

egg-herbie

Counts

199 → 199

Iterations

Useful iterations: 2 (78.0ms)

Iter	Nodes	Cost
0	650	2246
1	3227	1843
2	5001	1837

prune546.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes67.0ms

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	13	11
1	13	11

end0.0ms

sample419.0ms

Algorithm

intervals

Results

233.0ms	9168×	body	80	valid
0.0ms	2×	body	640	valid