Details

Time bar (total: 8.7s)

sample35.0ms

Algorithm
intervals
Results
16.0ms381×body80valid

simplify800.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01717
13217
26817
312117
419217
527117
639217
755317
872717
977617
done77617

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (* 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)
0.2b
(/ (* z t) 16.0)

rewrite138.0ms

Algorithm
rewrite-expression-head
Rules
15×add-log-exp
14×add-exp-log add-cbrt-cube
13×*-un-lft-identity
8×add-sqr-sqrt add-cube-cbrt
6×times-frac associate-/r*
5×sum-log
4×pow1 cbrt-undiv div-exp
3×associate-+l+
2×+-commutative frac-2neg flip3-+ diff-log prod-exp clear-num cbrt-unprod flip-+ div-inv distribute-lft-out associate-/l*
1×associate-+l- sub-neg associate--l+ distribute-lft-out--
Counts
4 → 72
Calls
4 calls:
3.0ms
(/ (* a b) 4.0)
4.0ms
(+ (* x y) (/ (* z t) 16.0))
125.0ms
(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)
3.0ms
(/ (* z t) 16.0)

series238.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(/ (* a b) 4.0)
48.0ms
(+ (* x y) (/ (* z t) 16.0))
150.0ms
(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)
19.0ms
(/ (* z t) 16.0)

simplify491.0ms

Counts
84 → 84
Iterations

Useful iterations: done (488.0ms)

IterNodesCost
01581039
14051000
21341896
done5001882

prune253.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite89.0ms

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
(- (+ (* x y) (* z (/ t 16.0))) (/ (* a b) 4.0))
3.0ms
(/ (* a b) 4.0)
2.0ms
(+ (* x y) (* z (/ t 16.0)))
64.0ms
(+ (- (+ (* x y) (* z (/ t 16.0))) (/ (* a b) 4.0)) c)

series310.0ms

Counts
4 → 12
Calls
4 calls:
89.0ms
(- (+ (* x y) (* z (/ t 16.0))) (/ (* a b) 4.0))
21.0ms
(/ (* a b) 4.0)
48.0ms
(+ (* x y) (* z (/ t 16.0)))
152.0ms
(+ (- (+ (* x y) (* z (/ t 16.0))) (/ (* a b) 4.0)) c)

simplify478.0ms

Counts
81 → 81
Iterations

Useful iterations: done (475.0ms)

IterNodesCost
01411389
13811288
213161232
done50001204

prune248.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ (* x y) (/ (* z t) 16.0))) (cbrt (+ (* x y) (/ (* z t) 16.0))))
2.5b
(cbrt (+ (* x y) (/ (* z t) 16.0)))
2.5b
(cbrt (+ (* x y) (/ (* z t) 16.0)))
2.5b
(cbrt (+ (* x y) (/ (* z t) 16.0)))

rewrite46.0ms

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:
32.0ms
(* (cbrt (+ (* x y) (/ (* z t) 16.0))) (cbrt (+ (* x y) (/ (* z t) 16.0))))
4.0ms
(cbrt (+ (* x y) (/ (* z t) 16.0)))
4.0ms
(cbrt (+ (* x y) (/ (* z t) 16.0)))
4.0ms
(cbrt (+ (* x y) (/ (* z t) 16.0)))

series554.0ms

Counts
4 → 12
Calls
4 calls:
161.0ms
(* (cbrt (+ (* x y) (/ (* z t) 16.0))) (cbrt (+ (* x y) (/ (* z t) 16.0))))
129.0ms
(cbrt (+ (* x y) (/ (* z t) 16.0)))
130.0ms
(cbrt (+ (* x y) (/ (* z t) 16.0)))
134.0ms
(cbrt (+ (* x y) (/ (* z t) 16.0)))

simplify946.0ms

Counts
99 → 99
Iterations

Useful iterations: 3 (392.0ms)

IterNodesCost
01382452
13282275
28652123
324051918
done50001918

prune397.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

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

rewrite426.0ms

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:
38.0ms
(cbrt (+ (- (+ (* x y) (* z (/ t 16.0))) (/ (* a b) 4.0)) c))
37.0ms
(cbrt (+ (- (+ (* x y) (* z (/ t 16.0))) (/ (* a b) 4.0)) c))
39.0ms
(cbrt (+ (- (+ (* x y) (* z (/ t 16.0))) (/ (* a b) 4.0)) c))
307.0ms
(* (cbrt (+ (- (+ (* x y) (* z (/ t 16.0))) (/ (* a b) 4.0)) c)) (cbrt (+ (- (+ (* x y) (* z (/ t 16.0))) (/ (* a b) 4.0)) c)))

series618.0ms

Counts
4 → 12
Calls
4 calls:
119.0ms
(cbrt (+ (- (+ (* x y) (* z (/ t 16.0))) (/ (* a b) 4.0)) c))
117.0ms
(cbrt (+ (- (+ (* x y) (* z (/ t 16.0))) (/ (* a b) 4.0)) c))
119.0ms
(cbrt (+ (- (+ (* x y) (* z (/ t 16.0))) (/ (* a b) 4.0)) c))
262.0ms
(* (cbrt (+ (- (+ (* x y) (* z (/ t 16.0))) (/ (* a b) 4.0)) c)) (cbrt (+ (- (+ (* x y) (* z (/ t 16.0))) (/ (* a b) 4.0)) c)))

simplify868.0ms

Counts
117 → 117
Iterations

Useful iterations: 3 (327.0ms)

IterNodesCost
01264520
12774264
27114002
323423366
done50013366

prune359.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes400.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01717
12217
done2217

end0.0ms

sample962.0ms

Algorithm
intervals
Results
522.0ms11802×body80valid