Details

Time bar (total: 24.2s)

sample67.0ms

Algorithm
intervals
Results
31.0ms416×body80valid

simplify1.1s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01717
13217
26917
312617
420117
528417
638917
752617
863017
963817
done63817

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

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))

rewrite370.0ms

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:
13.0ms
(+ (* x y) (/ (* z t) 16.0))
237.0ms
(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)
118.0ms
(- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))

series371.0ms

Counts
3 → 9
Calls
3 calls:
60.0ms
(+ (* x y) (/ (* z t) 16.0))
207.0ms
(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)
104.0ms
(- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))

simplify2.6s

Counts
57 → 57
Iterations

Useful iterations: 3 (843.0ms)

IterNodesCost
01011203
12791119
210061083
346581055
done50011055

prune180.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)
0.3b
(* (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)))
6.7b
(- (* (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))) (* c c))
36.0b
(/ (- (* (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))) (* c c)) (- (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c))

rewrite2.1s

Algorithm
rewrite-expression-head
Rules
64×*-un-lft-identity
42×add-sqr-sqrt
24×times-frac distribute-lft-out--
20×add-cube-cbrt frac-sub
18×difference-of-squares
16×frac-times
15×add-log-exp
14×flip3-- associate--l+ flip--
11×pow1
10×flip3-+ flip-+
8×add-exp-log add-cbrt-cube
7×sub-neg swap-sqr
6×distribute-rgt-in distribute-lft-in diff-log associate-/r*
5×associate-*r* associate-*l*
4×associate-*r/ associate-*l/ associate-/l*
2×associate-/r/ associate-/l/
1×cbrt-undiv associate--l- pow2 frac-2neg pow-plus div-sub div-exp pow-prod-down prod-exp clear-num sum-log pow-sqr *-commutative pow-prod-up cbrt-unprod div-inv unswap-sqr
Counts
4 → 154
Calls
4 calls:
409.0ms
(- (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)
501.0ms
(* (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)))
276.0ms
(- (* (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))) (* c c))
892.0ms
(/ (- (* (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))) (* c c)) (- (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c))

series5.8s

Counts
4 → 12
Calls
4 calls:
217.0ms
(- (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)
731.0ms
(* (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)))
4.0s
(- (* (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))) (* c c))
759.0ms
(/ (- (* (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))) (* c c)) (- (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c))

simplify1.9s

Counts
166 → 166
Iterations

Useful iterations: done (1.9s)

IterNodesCost
02709403
17228626
231427650
done50006629

prune678.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.6b
(* (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
58×cbrt-prod
37×add-sqr-sqrt
33×distribute-lft-out--
18×cbrt-div
15×add-cube-cbrt swap-sqr
11×pow1
9×flip3-- pow1/3 associate-*r* associate-*l* flip--
7×difference-of-squares
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 → 111
Calls
4 calls:
1.6s
(* (cbrt (- (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)) (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))
234.0ms
(cbrt (- (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c))
199.0ms
(cbrt (- (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c))

series1.0s

Counts
4 → 12
Calls
4 calls:
434.0ms
(* (cbrt (- (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)) (cbrt (- (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)))
205.0ms
(cbrt (- (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c))
197.0ms
(cbrt (- (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c))
167.0ms
(cbrt (- (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c))

simplify1.7s

Counts
123 → 123
Iterations

Useful iterations: done (1.7s)

IterNodesCost
01404815
12954562
27814295
325543658
done50003618

prune745.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes429.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01717
12217
done2217

end0.0ms

sample2.8s

Algorithm
intervals
Results
1.1s11968×body80valid