Details

sample79.0ms

Algorithm

intervals

Results

32.0ms

384×

body

valid

simplify793.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 3 expressions with local error:

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

rewrite452.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-log-exp`
10×	`*-un-lft-identity`
6×	`sum-log`
5×	`add-sqr-sqrt`
4×	`diff-log`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-+l+` `flip3-+` `add-cbrt-cube` `flip-+`
2×	`+-commutative` `sub-neg` `associate--l+` `frac-sub` `distribute-lft-out` `distribute-lft-out--`
1×	`associate-+l-` `flip3--` `flip--` `difference-of-squares`

Counts

3 → 48

Calls

3 calls:

18.0ms	(+ (* x y) (/ (* z t) 16.0))
338.0ms	(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)
93.0ms	(- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))

series388.0ms

Counts

3 → 9

Calls

3 calls:

60.0ms	(+ (* x y) (/ (* z t) 16.0))
227.0ms	(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)
101.0ms	(- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))

simplify2.3s

Counts: 57 → 57

prune229.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 4 expressions with local error:

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

rewrite2.2s

Algorithm

rewrite-expression-head

Rules

74×	`*-un-lft-identity`
51×	`cbrt-prod`
23×	`add-sqr-sqrt`
22×	`distribute-lft-out`
18×	`cbrt-div`
15×	`add-cube-cbrt`
14×	`swap-sqr`
11×	`pow1` `distribute-lft-out--`
9×	`flip3-+` `pow1/3` `flip-+`
8×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 105

Calls

4 calls:

1.5s	(* (cbrt (+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)) (cbrt (+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)))
216.0ms	(cbrt (+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c))
210.0ms	(cbrt (+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c))
194.0ms	(cbrt (+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c))

series927.0ms

Counts

4 → 12

Calls

4 calls:

382.0ms	(* (cbrt (+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)) (cbrt (+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)))
157.0ms	(cbrt (+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c))
217.0ms	(cbrt (+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c))
169.0ms	(cbrt (+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c))

simplify1.4s

Counts: 117 → 117

prune529.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize47.0ms

Local error

Found 4 expressions with local error:

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

rewrite708.0ms

Algorithm

rewrite-expression-head

Rules

28×	`*-un-lft-identity`
20×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `cbrt-div` `distribute-lft-out`
4×	`pow1` `add-exp-log` `flip3-+` `pow1/3` `add-cbrt-cube` `flip-+` `distribute-lft-out--` `add-log-exp`

Counts

4 → 60

Calls

4 calls:

160.0ms	(cbrt (+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c))
185.0ms	(cbrt (+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c))
191.0ms	(cbrt (+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c))
170.0ms	(cbrt (+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c))

series663.0ms

Counts

4 → 12

Calls

4 calls:

170.0ms	(cbrt (+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c))
155.0ms	(cbrt (+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c))
160.0ms	(cbrt (+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c))
178.0ms	(cbrt (+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c))

simplify707.0ms

Counts: 72 → 72

prune512.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize98.0ms

Local error

Found 4 expressions with local error:

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

rewrite2.2s

Algorithm

rewrite-expression-head

Rules

109×	`cbrt-prod`
78×	`*-un-lft-identity`
37×	`add-sqr-sqrt`
30×	`cbrt-div`
22×	`distribute-lft-out`
19×	`add-cube-cbrt`
17×	`swap-sqr`
11×	`pow1` `associate-r` `associate-l` `distribute-lft-out--`
9×	`flip3-+` `pow1/3` `flip-+` `unswap-sqr`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 119

Calls

4 calls:

141.0ms	(cbrt (+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c))
151.0ms	(cbrt (+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c))
202.0ms	(cbrt (+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c))
1.7s	(* (cbrt (cbrt (+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c))) (cbrt (cbrt (+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c))))

series921.0ms

Counts

4 → 12

Calls

4 calls:

158.0ms	(cbrt (+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c))
186.0ms	(cbrt (+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c))
211.0ms	(cbrt (+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c))
366.0ms	(* (cbrt (cbrt (+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c))) (cbrt (cbrt (+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c))))

simplify1.3s

Counts: 131 → 131

prune807.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes853.0ms

Accuracy

0% (0.0b remaining)

Error of 0.2b against oracle of 0.2b and baseline of 0.2b

bsearch0.0ms

simplify845.0ms

end0.0ms

sample2.5s

Algorithm

intervals

Results

1.2s

12092×

body

valid