Details

Time bar (total: 11.1s)

sample38.0ms

Algorithm
intervals
Results
17.0ms391×body80valid

simplify776.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01717
13217
26817
312117
419217
527117
639317
755317
872717
977617
done77617

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

rewrite181.0ms

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:
137.0ms
(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)
5.0ms
(+ (* x y) (/ (* z t) 16.0))
38.0ms
(- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))

series278.0ms

Counts
3 → 9
Calls
3 calls:
148.0ms
(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)
42.0ms
(+ (* x y) (/ (* z t) 16.0))
87.0ms
(- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))

simplify1.3s

Counts
57 → 57
Iterations

Useful iterations: 3 (383.0ms)

IterNodesCost
01011203
12831119
29331083
340441055
done50001055

prune182.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x y) (/ (* 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)
34.0b
(cbrt (pow (+ (* x y) (/ (* z t) 16.0)) 3))

rewrite113.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
16×cbrt-prod
12×*-un-lft-identity
10×add-cube-cbrt
8×add-log-exp
7×unpow-prod-down cube-prod
6×cube-div
5×pow1 add-exp-log add-cbrt-cube difference-of-squares
4×cbrt-div flip3-+ flip-+
3×pow-unpow sqr-pow
2×cube-mult unpow3 frac-sub
1×+-commutative pow-to-exp sub-neg flip3-- pow-pow pow1/3 diff-log pow-exp sum-log flip-- rem-cbrt-cube distribute-lft-out-- rem-cube-cbrt
Counts
4 → 79
Calls
4 calls:
5.0ms
(+ (* x y) (/ (* z t) 16.0))
89.0ms
(- (cbrt (pow (+ (* x y) (/ (* z t) 16.0)) 3)) (/ (* a b) 4.0))
8.0ms
(pow (+ (* x y) (/ (* z t) 16.0)) 3)
9.0ms
(cbrt (pow (+ (* x y) (/ (* z t) 16.0)) 3))

series328.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(+ (* x y) (/ (* z t) 16.0))
89.0ms
(- (cbrt (pow (+ (* x y) (/ (* z t) 16.0)) 3)) (/ (* a b) 4.0))
144.0ms
(pow (+ (* x y) (/ (* z t) 16.0)) 3)
48.0ms
(cbrt (pow (+ (* x y) (/ (* z t) 16.0)) 3))

simplify547.0ms

Counts
91 → 91
Iterations

Useful iterations: 2 (142.0ms)

IterNodesCost
01482054
13891737
214301581
done50001581

prune290.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

2.5b
(- (* (- (* (* x y) (* x y)) (* (/ (* z t) 16.0) (/ (* z t) 16.0))) 4.0) (* (- (* x y) (/ (* z t) 16.0)) (* a b)))
2.7b
(- (* (* x y) (* x y)) (* (/ (* z t) 16.0) (/ (* z t) 16.0)))
4.6b
(* (- (* x y) (/ (* z t) 16.0)) (* a b))
26.4b
(/ (- (* (- (* (* x y) (* x y)) (* (/ (* z t) 16.0) (/ (* z t) 16.0))) 4.0) (* (- (* x y) (/ (* z t) 16.0)) (* a b))) (* (- (* x y) (/ (* z t) 16.0)) 4.0))

rewrite110.0ms

Algorithm
rewrite-expression-head
Rules
20×associate-*l/
14×add-exp-log add-cbrt-cube
13×flip3-- flip--
9×pow1
8×frac-sub add-log-exp
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×associate-/l/
4×prod-exp cbrt-unprod
3×times-frac associate-*l* pow-prod-down associate-/l*
2×cbrt-undiv sub-neg diff-log div-exp associate-/r/
1×frac-2neg div-sub associate-*r* clear-num associate-/r* *-commutative div-inv difference-of-squares
Counts
4 → 79
Calls
4 calls:
27.0ms
(- (* (- (* (* x y) (* x y)) (* (/ (* z t) 16.0) (/ (* z t) 16.0))) 4.0) (* (- (* x y) (/ (* z t) 16.0)) (* a b)))
11.0ms
(- (* (* x y) (* x y)) (* (/ (* z t) 16.0) (/ (* z t) 16.0)))
19.0ms
(* (- (* x y) (/ (* z t) 16.0)) (* a b))
50.0ms
(/ (- (* (- (* (* x y) (* x y)) (* (/ (* z t) 16.0) (/ (* z t) 16.0))) 4.0) (* (- (* x y) (/ (* z t) 16.0)) (* a b))) (* (- (* x y) (/ (* z t) 16.0)) 4.0))

series778.0ms

Counts
4 → 12
Calls
4 calls:
291.0ms
(- (* (- (* (* x y) (* x y)) (* (/ (* z t) 16.0) (/ (* z t) 16.0))) 4.0) (* (- (* x y) (/ (* z t) 16.0)) (* a b)))
126.0ms
(- (* (* x y) (* x y)) (* (/ (* z t) 16.0) (/ (* z t) 16.0)))
123.0ms
(* (- (* x y) (/ (* z t) 16.0)) (* a b))
238.0ms
(/ (- (* (- (* (* x y) (* x y)) (* (/ (* z t) 16.0) (/ (* z t) 16.0))) 4.0) (* (- (* x y) (/ (* z t) 16.0)) (* a b))) (* (- (* x y) (/ (* z t) 16.0)) 4.0))

simplify1.0s

Counts
91 → 91
Iterations

Useful iterations: done (1.0s)

IterNodesCost
01954333
16364045
230233057
done50012985

prune371.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

4.6b
(* (- (* x y) (/ (* z t) 16.0)) (* a b))
11.0b
(/ (- (* (- (* (* x y) (* x y)) (* (/ (* z t) 16.0) (/ (* z t) 16.0))) 4.0) (* (sqrt (* (- (* x y) (/ (* z t) 16.0)) (* a b))) (sqrt (* (- (* x y) (/ (* z t) 16.0)) (* a b))))) (* (- (* x y) (/ (* z t) 16.0)) 4.0))
13.0b
(sqrt (* (- (* x y) (/ (* z t) 16.0)) (* a b)))
13.0b
(sqrt (* (- (* x y) (/ (* z t) 16.0)) (* a b)))

rewrite119.0ms

Algorithm
rewrite-expression-head
Rules
52×associate-*l/
28×sqrt-div
25×flip3-- flip--
21×pow1
18×associate-/l/
16×frac-sub
14×add-exp-log add-cbrt-cube
9×pow-prod-down
8×frac-times
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×sqrt-pow1
4×associate-*r/ prod-exp cbrt-unprod add-log-exp
3×times-frac associate-*l* associate-/l*
2×cbrt-undiv pow1/2 div-exp sqrt-prod associate-/r/
1×frac-2neg div-sub associate-*r* clear-num associate-/r* *-commutative div-inv
Counts
4 → 90
Calls
4 calls:
18.0ms
(* (- (* x y) (/ (* z t) 16.0)) (* a b))
74.0ms
(/ (- (* (- (* (* x y) (* x y)) (* (/ (* z t) 16.0) (/ (* z t) 16.0))) 4.0) (* (sqrt (* (- (* x y) (/ (* z t) 16.0)) (* a b))) (sqrt (* (- (* x y) (/ (* z t) 16.0)) (* a b))))) (* (- (* x y) (/ (* z t) 16.0)) 4.0))
12.0ms
(sqrt (* (- (* x y) (/ (* z t) 16.0)) (* a b)))
9.0ms
(sqrt (* (- (* x y) (/ (* z t) 16.0)) (* a b)))

series1.8s

Counts
4 → 12
Calls
4 calls:
120.0ms
(* (- (* x y) (/ (* z t) 16.0)) (* a b))
438.0ms
(/ (- (* (- (* (* x y) (* x y)) (* (/ (* z t) 16.0) (/ (* z t) 16.0))) 4.0) (* (sqrt (* (- (* x y) (/ (* z t) 16.0)) (* a b))) (sqrt (* (- (* x y) (/ (* z t) 16.0)) (* a b))))) (* (- (* x y) (/ (* z t) 16.0)) 4.0))
625.0ms
(sqrt (* (- (* x y) (/ (* z t) 16.0)) (* a b)))
615.0ms
(sqrt (* (- (* x y) (/ (* z t) 16.0)) (* a b)))

simplify831.0ms

Counts
102 → 102
Iterations

Useful iterations: 2 (194.0ms)

IterNodesCost
01894695
15493731
223693253
done50003253

prune509.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes389.0ms

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

sample1.0s

Algorithm
intervals
Results
542.0ms11970×body80valid