Details

Time bar (total: 10.1s)

sample37.0ms

Algorithm
intervals
Results
17.0ms368×body80valid

simplify1.7s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01717
13217
26817
312117
419217
528717
645217
766717
888817
9100817
10102417
done102417

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (+ (* x y) (/ (* z t) 16.0)) (/ (* 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))
0.2b
(/ (* z t) 16.0)

rewrite168.0ms

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:
34.0ms
(- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))
124.0ms
(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)
4.0ms
(+ (* x y) (/ (* z t) 16.0))
3.0ms
(/ (* z t) 16.0)

series289.0ms

Counts
4 → 12
Calls
4 calls:
84.0ms
(- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))
146.0ms
(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)
42.0ms
(+ (* x y) (/ (* z t) 16.0))
17.0ms
(/ (* z t) 16.0)

simplify427.0ms

Counts
81 → 81
Iterations

Useful iterations: done (424.0ms)

IterNodesCost
01421389
13831288
213581232
done50001204

prune250.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

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)))

rewrite86.0ms

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:
65.0ms
(+ (- (+ (* x y) (* z (/ t 16.0))) (/ (* a b) 4.0)) c)
17.0ms
(- (+ (* x y) (* z (/ t 16.0))) (/ (* a b) 4.0))
3.0ms
(+ (* x y) (* z (/ t 16.0)))

series276.0ms

Counts
3 → 9
Calls
3 calls:
145.0ms
(+ (- (+ (* x y) (* z (/ t 16.0))) (/ (* a b) 4.0)) c)
85.0ms
(- (+ (* x y) (* z (/ t 16.0))) (/ (* a b) 4.0))
45.0ms
(+ (* x y) (* z (/ t 16.0)))

simplify1.3s

Counts
57 → 57
Iterations

Useful iterations: 3 (334.0ms)

IterNodesCost
01011203
12891119
29891083
344121055
done50001055

prune168.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (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))

rewrite425.0ms

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:
305.0ms
(* (cbrt (+ (- (+ (* x y) (* z (/ t 16.0))) (/ (* a b) 4.0)) c)) (cbrt (+ (- (+ (* x y) (* z (/ t 16.0))) (/ (* a b) 4.0)) c)))
38.0ms
(cbrt (+ (- (+ (* x y) (* z (/ t 16.0))) (/ (* a b) 4.0)) c))
38.0ms
(cbrt (+ (- (+ (* x y) (* z (/ t 16.0))) (/ (* a b) 4.0)) c))
40.0ms
(cbrt (+ (- (+ (* x y) (* z (/ t 16.0))) (/ (* a b) 4.0)) c))

series547.0ms

Counts
4 → 12
Calls
4 calls:
235.0ms
(* (cbrt (+ (- (+ (* x y) (* z (/ t 16.0))) (/ (* a b) 4.0)) c)) (cbrt (+ (- (+ (* x y) (* z (/ t 16.0))) (/ (* a b) 4.0)) c)))
104.0ms
(cbrt (+ (- (+ (* x y) (* z (/ t 16.0))) (/ (* a b) 4.0)) c))
104.0ms
(cbrt (+ (- (+ (* x y) (* z (/ t 16.0))) (/ (* a b) 4.0)) c))
103.0ms
(cbrt (+ (- (+ (* x y) (* z (/ t 16.0))) (/ (* a b) 4.0)) c))

simplify1.4s

Counts
117 → 117
Iterations

Useful iterations: 3 (414.0ms)

IterNodesCost
01264520
12804288
29224002
333923366
done50003366

prune366.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.6b
(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))

rewrite156.0ms

Algorithm
rewrite-expression-head
Rules
28×*-un-lft-identity
20×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt cbrt-div distribute-lft-out
4×pow1 add-exp-log flip3-+ pow1/3 add-cbrt-cube flip-+ distribute-lft-out-- add-log-exp
Counts
4 → 60
Calls
4 calls:
39.0ms
(cbrt (+ (- (+ (* x y) (* z (/ t 16.0))) (/ (* a b) 4.0)) c))
38.0ms
(cbrt (+ (- (+ (* x y) (* z (/ t 16.0))) (/ (* a b) 4.0)) c))
40.0ms
(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))

series422.0ms

Counts
4 → 12
Calls
4 calls:
106.0ms
(cbrt (+ (- (+ (* x y) (* z (/ t 16.0))) (/ (* a b) 4.0)) c))
106.0ms
(cbrt (+ (- (+ (* x y) (* z (/ t 16.0))) (/ (* a b) 4.0)) c))
105.0ms
(cbrt (+ (- (+ (* x y) (* z (/ t 16.0))) (/ (* a b) 4.0)) c))
105.0ms
(cbrt (+ (- (+ (* x y) (* z (/ t 16.0))) (/ (* a b) 4.0)) c))

simplify389.0ms

Counts
72 → 72
Iterations

Useful iterations: done (386.0ms)

IterNodesCost
0632008
11421976
23281828
311371756
done50001752

prune314.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes331.0ms

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

sample970.0ms

Algorithm
intervals
Results
512.0ms11819×body80valid