Details

sample40.0ms

Algorithm

intervals

Results

18.0ms

399×

body

valid

simplify1.4s

Counts

1 → 1

Iterations

Useful iterations: 4 (53.0ms)

Iter	Nodes	Cost
0	17	17
1	33	16
2	72	16
3	137	16
4	238	15
5	383	15
6	554	15
7	764	15
8	1012	15
9	1097	15
done	1097	15

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma (/ z 16.0) t (fma x y (fma (/ a 4.0) (- b) c)))
0.0b	(fma x y (fma (/ a 4.0) (- b) c))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

2×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

2 → 20

Calls

2 calls:

0.0ms	(fma (/ z 16.0) t (fma x y (fma (/ a 4.0) (- b) c)))
0.0ms	(fma x y (fma (/ a 4.0) (- b) c))

series280.0ms

Counts

2 → 6

Calls

2 calls:

186.0ms	(fma (/ z 16.0) t (fma x y (fma (/ a 4.0) (- b) c)))
94.0ms	(fma x y (fma (/ a 4.0) (- b) c))

simplify1.0s

Counts

26 → 26

Iterations

Useful iterations: 2 (17.0ms)

Iter	Nodes	Cost
0	46	390
1	74	385
2	168	335
3	491	335
4	2368	335
done	5000	335

prune123.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))
0.0b	(+ (* x y) (/ (* z t) 16.0))
0.0b	(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)

rewrite211.0ms

Algorithm

rewrite-expression-head

Rules

42×	`prod-diff`
40×	`*-un-lft-identity`
35×	`add-sqr-sqrt`
31×	`add-cube-cbrt`
24×	`associate-+l+`
19×	`add-log-exp`
18×	`times-frac`
6×	`fma-def` `sum-log` `div-inv`
4×	`diff-log`
3×	`pow1` `add-exp-log` `expm1-log1p-u` `flip3-+` `fma-neg` `add-cbrt-cube` `flip-+` `log1p-expm1-u` `distribute-lft-out--`
2×	`+-commutative` `sub-neg` `associate--l+` `frac-sub` `distribute-lft-out` `difference-of-squares`
1×	`associate-+l-` `flip3--` `flip--`

Counts

3 → 105

Calls

3 calls:

47.0ms	(- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))
4.0ms	(+ (* x y) (/ (* z t) 16.0))
154.0ms	(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)

series345.0ms

Counts

3 → 9

Calls

3 calls:

106.0ms	(- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))
53.0ms	(+ (* x y) (/ (* z t) 16.0))
185.0ms	(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)

simplify770.0ms

Counts

114 → 114

Iterations

Useful iterations: 2 (208.0ms)

Iter	Nodes	Cost
0	175	2987
1	453	2428
2	1531	2040
done	5000	2040

prune427.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))) (cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))))
0.6b	(cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)))
0.6b	(cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)))
0.6b	(cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)))

rewrite208.0ms

Algorithm

rewrite-expression-head

Rules

52×	`cbrt-div`
43×	`cbrt-prod`
37×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
26×	`frac-sub`
16×	`frac-times`
15×	`add-cube-cbrt`
13×	`flip3--` `flip3-+` `flip--` `flip-+`
11×	`pow1`
10×	`swap-sqr`
9×	`pow1/3` `distribute-lft-out--`
8×	`associate-r` `associate-l`
7×	`difference-of-squares`
6×	`add-exp-log`
4×	`expm1-log1p-u` `associate-r/` `associate-l/` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 131

Calls

4 calls:

147.0ms	(* (cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))) (cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))))
17.0ms	(cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)))
21.0ms	(cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)))
17.0ms	(cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)))

series869.0ms

Counts

4 → 12

Calls

4 calls:

302.0ms	(* (cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))) (cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))))
186.0ms	(cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)))
190.0ms	(cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)))
190.0ms	(cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)))

simplify1.8s

Counts

143 → 143

Iterations

Useful iterations: 3 (801.0ms)

Iter	Nodes	Cost
0	206	6401
1	462	5687
2	1338	5466
3	4544	4867
done	5000	4867

prune748.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes342.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	15
done	15	15

end0.0ms

sample1.0s

Algorithm

intervals

Results

535.0ms

11963×

body

valid