Details

Time bar (total: 20.9s)

sample85.0ms

Algorithm
intervals
Results
38.0ms390×body80valid

simplify3.7s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01717
13217
26917
312717
433917
5100617
6336717
done500017

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 3 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))

rewrite429.0ms

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:
71.0ms
(- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))
343.0ms
(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)
11.0ms
(+ (* x y) (/ (* z t) 16.0))

series395.0ms

Counts
3 → 9
Calls
3 calls:
124.0ms
(- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))
211.0ms
(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)
60.0ms
(+ (* x y) (/ (* z t) 16.0))

simplify661.0ms

Counts
57 → 57
Iterations

Useful iterations: done (658.0ms)

IterNodesCost
01011203
12801119
210481083
done50001055

prune208.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* x y) (/ (* z t) 16.0))
0.0b
(+ (* x y) (/ (* z t) 16.0))
0.2b
(* (- (* x y) (/ (* z t) 16.0)) (- (* 4.0 (+ (* x y) (/ (* z t) 16.0))) (* a b)))
24.2b
(/ (* (- (* x y) (/ (* z t) 16.0)) (- (* 4.0 (+ (* x y) (/ (* z t) 16.0))) (* a b))) (* (- (* x y) (/ (* z t) 16.0)) 4.0))

rewrite238.0ms

Algorithm
rewrite-expression-head
Rules
18×add-exp-log add-cbrt-cube
14×flip3-- flip--
8×add-sqr-sqrt frac-times associate-/l/ add-log-exp
6×pow1 distribute-rgt-in add-cube-cbrt *-un-lft-identity distribute-lft-in associate-*l/
5×prod-exp cbrt-unprod
4×cbrt-undiv associate-*r/ div-exp associate--l+
3×sub-neg associate-*r* associate-*l*
2×associate-/r/
1×+-commutative frac-2neg flip3-+ times-frac diff-log pow-prod-down clear-num associate-/r* sum-log *-commutative flip-+ div-inv associate-/l* unswap-sqr
Counts
4 → 88
Calls
4 calls:
10.0ms
(- (* x y) (/ (* z t) 16.0))
11.0ms
(+ (* x y) (/ (* z t) 16.0))
124.0ms
(* (- (* x y) (/ (* z t) 16.0)) (- (* 4.0 (+ (* x y) (/ (* z t) 16.0))) (* a b)))
90.0ms
(/ (* (- (* x y) (/ (* z t) 16.0)) (- (* 4.0 (+ (* x y) (/ (* z t) 16.0))) (* a b))) (* (- (* x y) (/ (* z t) 16.0)) 4.0))

series624.0ms

Counts
4 → 12
Calls
4 calls:
81.0ms
(- (* x y) (/ (* z t) 16.0))
65.0ms
(+ (* x y) (/ (* z t) 16.0))
358.0ms
(* (- (* x y) (/ (* z t) 16.0)) (- (* 4.0 (+ (* x y) (/ (* z t) 16.0))) (* a b)))
119.0ms
(/ (* (- (* x y) (/ (* z t) 16.0)) (- (* 4.0 (+ (* x y) (/ (* z t) 16.0))) (* a b))) (* (- (* x y) (/ (* z t) 16.0)) 4.0))

simplify2.0s

Counts
100 → 100
Iterations

Useful iterations: done (2.0s)

IterNodesCost
01843558
16143177
237892615
done50012561

prune522.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- (* 4.0 (+ (* x y) (/ (* z t) 16.0))) (* a b)))
0.6b
(cbrt (- (* 4.0 (+ (* x y) (/ (* z t) 16.0))) (* a b)))
0.6b
(cbrt (- (* 4.0 (+ (* x y) (/ (* z t) 16.0))) (* a b)))
24.2b
(/ (* (* (- (* x y) (/ (* z t) 16.0)) (* (cbrt (- (* 4.0 (+ (* x y) (/ (* z t) 16.0))) (* a b))) (cbrt (- (* 4.0 (+ (* x y) (/ (* z t) 16.0))) (* a b))))) (cbrt (- (* 4.0 (+ (* x y) (/ (* z t) 16.0))) (* a b)))) (* (- (* x y) (/ (* z t) 16.0)) 4.0))

rewrite1.1s

Algorithm
rewrite-expression-head
Rules
168×cbrt-div
136×frac-times
112×flip3-- flip--
80×associate-/l/
52×associate-*l/
44×associate-*r/
36×add-exp-log
26×add-cbrt-cube
16×prod-exp cbrt-unprod
9×cbrt-prod
8×cbrt-undiv div-exp
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-log-exp
3×pow1/3
2×associate-/r/
1×frac-2neg times-frac clear-num associate-/r* div-inv associate-/l*
Counts
4 → 150
Calls
4 calls:
37.0ms
(cbrt (- (* 4.0 (+ (* x y) (/ (* z t) 16.0))) (* a b)))
22.0ms
(cbrt (- (* 4.0 (+ (* x y) (/ (* z t) 16.0))) (* a b)))
22.0ms
(cbrt (- (* 4.0 (+ (* x y) (/ (* z t) 16.0))) (* a b)))
995.0ms
(/ (* (* (- (* x y) (/ (* z t) 16.0)) (* (cbrt (- (* 4.0 (+ (* x y) (/ (* z t) 16.0))) (* a b))) (cbrt (- (* 4.0 (+ (* x y) (/ (* z t) 16.0))) (* a b))))) (cbrt (- (* 4.0 (+ (* x y) (/ (* z t) 16.0))) (* a b)))) (* (- (* x y) (/ (* z t) 16.0)) 4.0))

series1.2s

Counts
4 → 12
Calls
4 calls:
310.0ms
(cbrt (- (* 4.0 (+ (* x y) (/ (* z t) 16.0))) (* a b)))
333.0ms
(cbrt (- (* 4.0 (+ (* x y) (/ (* z t) 16.0))) (* a b)))
350.0ms
(cbrt (- (* 4.0 (+ (* x y) (/ (* z t) 16.0))) (* a b)))
164.0ms
(/ (* (* (- (* x y) (/ (* z t) 16.0)) (* (cbrt (- (* 4.0 (+ (* x y) (/ (* z t) 16.0))) (* a b))) (cbrt (- (* 4.0 (+ (* x y) (/ (* z t) 16.0))) (* a b))))) (cbrt (- (* 4.0 (+ (* x y) (/ (* z t) 16.0))) (* a b)))) (* (- (* x y) (/ (* z t) 16.0)) 4.0))

simplify2.0s

Counts
162 → 162
Iterations

Useful iterations: done (2.0s)

IterNodesCost
025911848
187011209
238759178
done50018861

prune1.5s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize52.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x y) (/ (* z t) 16.0))
0.1b
(sqrt (+ (* x y) (/ (* z t) 16.0)))
0.1b
(sqrt (+ (* x y) (/ (* z t) 16.0)))
0.3b
(* (sqrt (+ (* x y) (/ (* z t) 16.0))) (sqrt (+ (* x y) (/ (* z t) 16.0))))

rewrite165.0ms

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:
11.0ms
(+ (* x y) (/ (* z t) 16.0))
15.0ms
(sqrt (+ (* x y) (/ (* z t) 16.0)))
14.0ms
(sqrt (+ (* x y) (/ (* z t) 16.0)))
122.0ms
(* (sqrt (+ (* x y) (/ (* z t) 16.0))) (sqrt (+ (* x y) (/ (* z t) 16.0))))

series482.0ms

Counts
4 → 12
Calls
4 calls:
77.0ms
(+ (* x y) (/ (* z t) 16.0))
165.0ms
(sqrt (+ (* x y) (/ (* z t) 16.0)))
170.0ms
(sqrt (+ (* x y) (/ (* z t) 16.0)))
70.0ms
(* (sqrt (+ (* x y) (/ (* z t) 16.0))) (sqrt (+ (* x y) (/ (* z t) 16.0))))

simplify1.4s

Counts
110 → 110
Iterations

Useful iterations: done (1.4s)

IterNodesCost
01102494
12701803
213161655
done50001608

prune376.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes899.0ms

Accuracy

0% (0.0b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01717
12217
done2217

end0.0ms

sample2.8s

Algorithm
intervals
Results
1.2s11929×body80valid