Details

Time bar (total: 22.2s)

sample102.0ms

Algorithm
intervals
Results
42.0ms393×body80valid

simplify4.8s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01717
13217
26917
312717
433917
5100617
6336717
done500017

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize40.0ms

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

rewrite556.0ms

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:
18.0ms
(/ (* a b) 4.0)
401.0ms
(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)
114.0ms
(- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))
19.0ms
(+ (* x y) (/ (* z t) 16.0))

series479.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(/ (* a b) 4.0)
232.0ms
(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)
145.0ms
(- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))
72.0ms
(+ (* x y) (/ (* z t) 16.0))

simplify1.1s

Counts
81 → 81
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01411389
13831288
216921236
done50001228

prune612.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize49.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ (* x y) (/ (* z t) 16.0))) (cbrt (+ (* x y) (/ (* z t) 16.0))))
1.5b
(cbrt (+ (* x y) (/ (* z t) 16.0)))
1.5b
(cbrt (+ (* x y) (/ (* z t) 16.0)))
1.5b
(cbrt (+ (* x y) (/ (* z t) 16.0)))

rewrite170.0ms

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:
116.0ms
(* (cbrt (+ (* x y) (/ (* z t) 16.0))) (cbrt (+ (* x y) (/ (* z t) 16.0))))
14.0ms
(cbrt (+ (* x y) (/ (* z t) 16.0)))
21.0ms
(cbrt (+ (* x y) (/ (* z t) 16.0)))
14.0ms
(cbrt (+ (* x y) (/ (* z t) 16.0)))

series1.2s

Counts
4 → 12
Calls
4 calls:
240.0ms
(* (cbrt (+ (* x y) (/ (* z t) 16.0))) (cbrt (+ (* x y) (/ (* z t) 16.0))))
601.0ms
(cbrt (+ (* x y) (/ (* z t) 16.0)))
194.0ms
(cbrt (+ (* x y) (/ (* z t) 16.0)))
192.0ms
(cbrt (+ (* x y) (/ (* z t) 16.0)))

simplify1.1s

Counts
99 → 99
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01382452
13502275
211942123
done50011962

prune927.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize80.0ms

Local error

Found 4 expressions with local error:

1.5b
(cbrt (+ (* x y) (/ (* z t) 16.0)))
1.5b
(cbrt (+ (* x y) (/ (* z t) 16.0)))
1.5b
(cbrt (+ (* x y) (/ (* z t) 16.0)))
1.5b
(cbrt (+ (* x y) (/ (* z t) 16.0)))

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt cbrt-div *-un-lft-identity
4×pow1 add-exp-log flip3-+ pow1/3 add-cbrt-cube flip-+ add-log-exp
Counts
4 → 52
Calls
4 calls:
21.0ms
(cbrt (+ (* x y) (/ (* z t) 16.0)))
13.0ms
(cbrt (+ (* x y) (/ (* z t) 16.0)))
13.0ms
(cbrt (+ (* x y) (/ (* z t) 16.0)))
13.0ms
(cbrt (+ (* x y) (/ (* z t) 16.0)))

series884.0ms

Counts
4 → 12
Calls
4 calls:
208.0ms
(cbrt (+ (* x y) (/ (* z t) 16.0)))
231.0ms
(cbrt (+ (* x y) (/ (* z t) 16.0)))
231.0ms
(cbrt (+ (* x y) (/ (* z t) 16.0)))
214.0ms
(cbrt (+ (* x y) (/ (* z t) 16.0)))

simplify1.2s

Counts
64 → 64
Iterations

Useful iterations: done (1.2s)

IterNodesCost
0741232
11881188
24961104
316081080
done50011024

prune806.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize50.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x y) (/ (* z t) 16.0))
0.3b
(* (sqrt (+ (* x y) (/ (* z t) 16.0))) (sqrt (+ (* x y) (/ (* z t) 16.0))))
1.0b
(sqrt (+ (* x y) (/ (* z t) 16.0)))
1.0b
(sqrt (+ (* x y) (/ (* z t) 16.0)))

rewrite187.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
24×sqrt-prod
21×pow1
16×sqrt-div
14×add-cube-cbrt *-un-lft-identity
10×sqrt-pow1 pow1/2
9×flip3-+ flip-+
8×swap-sqr
6×add-exp-log associate-*r* associate-*l* add-cbrt-cube add-log-exp
5×pow-prod-up
4×frac-times unswap-sqr
3×pow-prod-down pow-sqr
2×rem-sqrt-square associate-*r/ associate-*l/
1×+-commutative pow2 pow-plus sqrt-unprod prod-exp sum-log rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 98
Calls
4 calls:
19.0ms
(+ (* x y) (/ (* z t) 16.0))
116.0ms
(* (sqrt (+ (* x y) (/ (* z t) 16.0))) (sqrt (+ (* x y) (/ (* z t) 16.0))))
23.0ms
(sqrt (+ (* x y) (/ (* z t) 16.0)))
24.0ms
(sqrt (+ (* x y) (/ (* z t) 16.0)))

series472.0ms

Counts
4 → 12
Calls
4 calls:
76.0ms
(+ (* x y) (/ (* z t) 16.0))
69.0ms
(* (sqrt (+ (* x y) (/ (* z t) 16.0))) (sqrt (+ (* x y) (/ (* z t) 16.0))))
167.0ms
(sqrt (+ (* x y) (/ (* z t) 16.0)))
161.0ms
(sqrt (+ (* x y) (/ (* z t) 16.0)))

simplify1.2s

Counts
110 → 110
Iterations

Useful iterations: done (1.2s)

IterNodesCost
01102494
12691803
211681655
done50001608

prune878.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0.0b

regimes2.3s

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

sample3.0s

Algorithm
intervals
Results
1.5s12001×body80valid