Details

Time bar (total: 15.6s)

sample62.0ms

Algorithm
intervals
Results
31.0ms384×body80valid

simplify1.0s

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 4 expressions with local error:

0.0b
(/ (* a b) 4.0)
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)

rewrite462.0ms

Algorithm
rewrite-expression-head
Rules
20×add-log-exp
13×*-un-lft-identity
9×add-exp-log add-cbrt-cube
8×add-sqr-sqrt
6×add-cube-cbrt sum-log
4×pow1 diff-log
3×associate-+l+ flip3-+ times-frac associate-/r* flip-+
2×cbrt-undiv +-commutative sub-neg div-exp associate--l+ frac-sub distribute-lft-out distribute-lft-out--
1×associate-+l- flip3-- frac-2neg prod-exp clear-num flip-- cbrt-unprod div-inv associate-/l* difference-of-squares
Counts
4 → 69
Calls
4 calls:
13.0ms
(/ (* a b) 4.0)
96.0ms
(- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))
17.0ms
(+ (* x y) (/ (* z t) 16.0))
333.0ms
(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)

series428.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(/ (* a b) 4.0)
130.0ms
(- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))
65.0ms
(+ (* x y) (/ (* z t) 16.0))
204.0ms
(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)

simplify751.0ms

Counts
81 → 81
Iterations

Useful iterations: done (748.0ms)

IterNodesCost
01411389
13701288
213301232
done50001204

prune295.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x y) (/ (* z t) 16.0))
0.0b
(+ (- (cbrt (pow (+ (* x y) (/ (* z t) 16.0)) 3)) (/ (* a b) 4.0)) c)
0.3b
(pow (+ (* x y) (/ (* z t) 16.0)) 3)
35.3b
(cbrt (pow (+ (* x y) (/ (* z t) 16.0)) 3))

rewrite779.0ms

Algorithm
rewrite-expression-head
Rules
15×*-un-lft-identity
12×cbrt-prod
11×add-log-exp
10×add-sqr-sqrt add-cube-cbrt
6×unpow-prod-down cube-prod
5×pow1 add-exp-log add-cbrt-cube
4×cube-div flip3-+ flip-+
3×pow-unpow sum-log
2×+-commutative cube-mult associate-+l+ cbrt-div unpow3 distribute-lft-out sqr-pow
1×pow-to-exp associate-+l- sub-neg pow-pow pow1/3 diff-log pow-exp rem-cbrt-cube distribute-lft-out-- rem-cube-cbrt
Counts
4 → 76
Calls
4 calls:
15.0ms
(+ (* x y) (/ (* z t) 16.0))
714.0ms
(+ (- (cbrt (pow (+ (* x y) (/ (* z t) 16.0)) 3)) (/ (* a b) 4.0)) c)
25.0ms
(pow (+ (* x y) (/ (* z t) 16.0)) 3)
23.0ms
(cbrt (pow (+ (* x y) (/ (* z t) 16.0)) 3))

series463.0ms

Counts
4 → 12
Calls
4 calls:
54.0ms
(+ (* x y) (/ (* z t) 16.0))
166.0ms
(+ (- (cbrt (pow (+ (* x y) (/ (* z t) 16.0)) 3)) (/ (* a b) 4.0)) c)
180.0ms
(pow (+ (* x y) (/ (* z t) 16.0)) 3)
63.0ms
(cbrt (pow (+ (* x y) (/ (* z t) 16.0)) 3))

simplify832.0ms

Counts
88 → 88
Iterations

Useful iterations: done (828.0ms)

IterNodesCost
01401800
13741531
213191385
done50001371

prune284.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (+ (* x y) (/ (* z t) 16.0)) (- (/ (* a b) 4.0) c))
0.1b
(sqrt (- (+ (* x y) (/ (* z t) 16.0)) (- (/ (* a b) 4.0) c)))
0.1b
(sqrt (- (+ (* x y) (/ (* z t) 16.0)) (- (/ (* a b) 4.0) c)))
0.3b
(* (sqrt (- (+ (* x y) (/ (* z t) 16.0)) (- (/ (* a b) 4.0) c))) (sqrt (- (+ (* x y) (/ (* z t) 16.0)) (- (/ (* a b) 4.0) c))))

rewrite987.0ms

Algorithm
rewrite-expression-head
Rules
96×sqrt-div
73×*-un-lft-identity
68×frac-sub
54×sqrt-prod
51×flip3-- flip--
42×add-sqr-sqrt
36×frac-times
34×flip3-+ flip-+
33×distribute-lft-out--
21×pow1
17×swap-sqr
16×add-log-exp
14×add-cube-cbrt
10×sqrt-pow1 pow1/2
9×associate-*r* associate-*l*
7×difference-of-squares
6×add-exp-log diff-log associate-*r/ associate-*l/ add-cbrt-cube
5×pow-prod-up
4×unswap-sqr
3×pow-prod-down pow-sqr
2×sub-neg rem-sqrt-square sum-log associate--r+
1×pow2 pow-plus sqrt-unprod prod-exp associate--l+ rem-square-sqrt *-commutative cbrt-unprod associate--r-
Counts
4 → 182
Calls
4 calls:
139.0ms
(- (+ (* x y) (/ (* z t) 16.0)) (- (/ (* a b) 4.0) c))
124.0ms
(sqrt (- (+ (* x y) (/ (* z t) 16.0)) (- (/ (* a b) 4.0) c)))
110.0ms
(sqrt (- (+ (* x y) (/ (* z t) 16.0)) (- (/ (* a b) 4.0) c)))
602.0ms
(* (sqrt (- (+ (* x y) (/ (* z t) 16.0)) (- (/ (* a b) 4.0) c))) (sqrt (- (+ (* x y) (/ (* z t) 16.0)) (- (/ (* a b) 4.0) c))))

series4.2s

Counts
4 → 12
Calls
4 calls:
199.0ms
(- (+ (* x y) (/ (* z t) 16.0)) (- (/ (* a b) 4.0) c))
1.9s
(sqrt (- (+ (* x y) (/ (* z t) 16.0)) (- (/ (* a b) 4.0) c)))
1.9s
(sqrt (- (+ (* x y) (/ (* z t) 16.0)) (- (/ (* a b) 4.0) c)))
164.0ms
(* (sqrt (- (+ (* x y) (/ (* z t) 16.0)) (- (/ (* a b) 4.0) c))) (sqrt (- (+ (* x y) (/ (* z t) 16.0)) (- (/ (* a b) 4.0) c))))

simplify975.0ms

Counts
194 → 194
Iterations

Useful iterations: done (961.0ms)

IterNodesCost
026913213
156510833
2204510585
done500210230

prune745.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes487.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01717
12217
done2217

end0.0ms

sample2.7s

Algorithm
intervals
Results
1.1s11831×body80valid