Details

Time bar (total: 18.9s)

sample75.0ms

Algorithm
intervals
Results
32.0ms422×body80valid

simplify4.1s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01717
13217
26917
312717
433917
5100617
6336717
done500017

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 3 expressions with local error:

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

rewrite153.0ms

Algorithm
rewrite-expression-head
Rules
10×add-log-exp
8×add-exp-log add-cbrt-cube
7×add-sqr-sqrt *-un-lft-identity
5×add-cube-cbrt
3×pow1 times-frac associate-/r*
2×cbrt-undiv flip3-+ diff-log div-exp sum-log frac-sub flip-+
1×+-commutative sub-neg flip3-- frac-2neg prod-exp associate--l+ clear-num flip-- cbrt-unprod div-inv associate-/l* distribute-lft-out-- difference-of-squares
Counts
3 → 50
Calls
3 calls:
19.0ms
(+ (* x y) (/ (* z t) 16.0))
19.0ms
(/ (* z t) 16.0)
114.0ms
(- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))

series208.0ms

Counts
3 → 9
Calls
3 calls:
59.0ms
(+ (* x y) (/ (* z t) 16.0))
38.0ms
(/ (* z t) 16.0)
111.0ms
(- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))

simplify753.0ms

Counts
59 → 59
Iterations

Useful iterations: done (750.0ms)

IterNodesCost
0117922
1313859
21381813
done5000795

prune264.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ (* x y) (/ (* z t) 16.0))) (cbrt (+ (* x y) (/ (* z t) 16.0))))
1.1b
(cbrt (+ (* x y) (/ (* z t) 16.0)))
1.1b
(cbrt (+ (* x y) (/ (* z t) 16.0)))
1.1b
(cbrt (+ (* x y) (/ (* z t) 16.0)))

rewrite156.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×flip3-+ pow1/3 flip-+
6×add-exp-log swap-sqr associate-*r* associate-*l*
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 → 87
Calls
4 calls:
100.0ms
(* (cbrt (+ (* x y) (/ (* z t) 16.0))) (cbrt (+ (* x y) (/ (* z t) 16.0))))
20.0ms
(cbrt (+ (* x y) (/ (* z t) 16.0)))
16.0ms
(cbrt (+ (* x y) (/ (* z t) 16.0)))
16.0ms
(cbrt (+ (* x y) (/ (* z t) 16.0)))

series668.0ms

Counts
4 → 12
Calls
4 calls:
178.0ms
(* (cbrt (+ (* x y) (/ (* z t) 16.0))) (cbrt (+ (* x y) (/ (* z t) 16.0))))
178.0ms
(cbrt (+ (* x y) (/ (* z t) 16.0)))
147.0ms
(cbrt (+ (* x y) (/ (* z t) 16.0)))
165.0ms
(cbrt (+ (* x y) (/ (* z t) 16.0)))

simplify874.0ms

Counts
99 → 99
Iterations

Useful iterations: done (871.0ms)

IterNodesCost
01382452
13502275
211942123
done50011962

prune623.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize53.0ms

Local error

Found 4 expressions with local error:

0.7b
(pow (cbrt (+ (* x y) (/ (* z t) 16.0))) (* 2 3))
1.1b
(cbrt (+ (* x y) (/ (* z t) 16.0)))
1.1b
(cbrt (+ (* x y) (/ (* z t) 16.0)))
24.5b
(cbrt (pow (cbrt (+ (* x y) (/ (* z t) 16.0))) (* 2 3)))

rewrite82.0ms

Algorithm
rewrite-expression-head
Rules
22×cbrt-prod
12×unpow-prod-down
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
5×pow1 add-exp-log
4×cbrt-div pow1/3 add-cbrt-cube add-log-exp
2×pow-pow flip3-+ flip-+ sqr-pow
1×pow-to-exp pow-unpow pow-exp
Counts
4 → 63
Calls
4 calls:
31.0ms
(pow (cbrt (+ (* x y) (/ (* z t) 16.0))) (* 2 3))
8.0ms
(cbrt (+ (* x y) (/ (* z t) 16.0)))
8.0ms
(cbrt (+ (* x y) (/ (* z t) 16.0)))
33.0ms
(cbrt (pow (cbrt (+ (* x y) (/ (* z t) 16.0))) (* 2 3)))

series818.0ms

Counts
4 → 12
Calls
4 calls:
225.0ms
(pow (cbrt (+ (* x y) (/ (* z t) 16.0))) (* 2 3))
176.0ms
(cbrt (+ (* x y) (/ (* z t) 16.0)))
186.0ms
(cbrt (+ (* x y) (/ (* z t) 16.0)))
231.0ms
(cbrt (pow (cbrt (+ (* x y) (/ (* z t) 16.0))) (* 2 3)))

simplify2.7s

Counts
75 → 75
Iterations

Useful iterations: done (2.7s)

IterNodesCost
01401611
13721375
210481286
341051170
done50011163

prune482.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (* z t) 16.0)
0.0b
(- (cbrt (pow (+ (* x y) (/ (* z t) 16.0)) 3)) (/ (* a b) 4.0))
0.3b
(pow (+ (* x y) (/ (* z t) 16.0)) 3)
35.1b
(cbrt (pow (+ (* x y) (/ (* z t) 16.0)) 3))

rewrite311.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
16×cbrt-prod
14×*-un-lft-identity
12×add-cube-cbrt
10×add-exp-log add-cbrt-cube
7×unpow-prod-down cube-prod
6×cube-div add-log-exp
5×pow1 difference-of-squares
4×cbrt-div
3×pow-unpow flip3-+ times-frac associate-/r* flip-+ sqr-pow
2×cbrt-undiv cube-mult unpow3 div-exp frac-sub
1×pow-to-exp sub-neg flip3-- pow-pow frac-2neg pow1/3 diff-log pow-exp prod-exp clear-num flip-- rem-cbrt-cube cbrt-unprod div-inv associate-/l* distribute-lft-out-- rem-cube-cbrt
Counts
4 → 89
Calls
4 calls:
20.0ms
(/ (* z t) 16.0)
231.0ms
(- (cbrt (pow (+ (* x y) (/ (* z t) 16.0)) 3)) (/ (* a b) 4.0))
32.0ms
(pow (+ (* x y) (/ (* z t) 16.0)) 3)
22.0ms
(cbrt (pow (+ (* x y) (/ (* z t) 16.0)) 3))

series492.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(/ (* z t) 16.0)
172.0ms
(- (cbrt (pow (+ (* x y) (/ (* z t) 16.0)) 3)) (/ (* a b) 4.0))
216.0ms
(pow (+ (* x y) (/ (* z t) 16.0)) 3)
81.0ms
(cbrt (pow (+ (* x y) (/ (* z t) 16.0)) 3))

simplify2.1s

Counts
101 → 101
Iterations

Useful iterations: done (2.1s)

IterNodesCost
01842040
15431728
230771572
done50021564

prune508.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes596.0ms

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
1.6s11909×body80valid