Details

Time bar (total: 25.1s)

sample54.0ms

Algorithm
intervals
Results
23.0ms365×body80valid

simplify646.0ms

Counts
1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

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

rewrite418.0ms

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))
11.0ms
(+ (* x y) (/ (* z t) 16.0))
334.0ms
(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)

series402.0ms

Counts
3 → 9
Calls
3 calls:
119.0ms
(- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))
67.0ms
(+ (* x y) (/ (* z t) 16.0))
216.0ms
(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)

simplify1.7s

Counts
57 → 57

prune209.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (+ (* 0.0625 (* t z)) (* x y)) (* 0.25 (* a b)))
0.0b
(+ (* 0.0625 (* t z)) (* x y))

rewrite124.0ms

Algorithm
rewrite-expression-head
Rules
9×add-log-exp
2×pow1 add-exp-log add-sqr-sqrt add-cube-cbrt *-un-lft-identity diff-log sum-log add-cbrt-cube
1×+-commutative sub-neg flip3-- flip3-+ associate--l+ flip-- flip-+
Counts
2 → 25
Calls
2 calls:
107.0ms
(- (+ (* 0.0625 (* t z)) (* x y)) (* 0.25 (* a b)))
16.0ms
(+ (* 0.0625 (* t z)) (* x y))

series146.0ms

Counts
2 → 6
Calls
2 calls:
92.0ms
(- (+ (* 0.0625 (* t z)) (* x y)) (* 0.25 (* a b)))
54.0ms
(+ (* 0.0625 (* t z)) (* x y))

simplify2.5s

Counts
31 → 31

prune119.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (+ (* x y) (/ (* z t) 16.0)) (+ (* x y) (/ (* z t) 16.0)))
0.3b
(* (/ (* a b) 4.0) (/ (* a b) 4.0))
2.4b
(- (* (+ (* x y) (/ (* z t) 16.0)) (+ (* x y) (/ (* z t) 16.0))) (* (/ (* a b) 4.0) (/ (* a b) 4.0)))
27.4b
(/ (- (* (+ (* x y) (/ (* z t) 16.0)) (+ (* x y) (/ (* z t) 16.0))) (* (/ (* a b) 4.0) (/ (* a b) 4.0))) (+ (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)))

rewrite498.0ms

Algorithm
rewrite-expression-head
Rules
48×frac-sub
45×frac-times
44×add-exp-log flip3-+ add-cbrt-cube flip-+
36×*-un-lft-identity
31×associate-*r/ associate-*l/
30×add-sqr-sqrt
28×times-frac
26×add-cube-cbrt associate-/l/
18×pow1
16×prod-exp cbrt-unprod
13×cbrt-undiv div-exp
10×swap-sqr associate-*r* associate-*l*
6×add-log-exp difference-of-squares
5×div-inv distribute-lft-out
4×associate-/r* associate-/r/ associate-/l*
2×pow2 distribute-rgt-in flip3-- distribute-lft-in pow-plus pow-prod-down frac-add associate--l+ pow-sqr *-commutative pow-prod-up flip-- unswap-sqr
1×sub-neg frac-2neg diff-log div-sub clear-num
Counts
4 → 197
Calls
4 calls:
93.0ms
(* (+ (* x y) (/ (* z t) 16.0)) (+ (* x y) (/ (* z t) 16.0)))
67.0ms
(* (/ (* a b) 4.0) (/ (* a b) 4.0))
72.0ms
(- (* (+ (* x y) (/ (* z t) 16.0)) (+ (* x y) (/ (* z t) 16.0))) (* (/ (* a b) 4.0) (/ (* a b) 4.0)))
245.0ms
(/ (- (* (+ (* x y) (/ (* z t) 16.0)) (+ (* x y) (/ (* z t) 16.0))) (* (/ (* a b) 4.0) (/ (* a b) 4.0))) (+ (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)))

series1.3s

Counts
4 → 12
Calls
4 calls:
100.0ms
(* (+ (* x y) (/ (* z t) 16.0)) (+ (* x y) (/ (* z t) 16.0)))
48.0ms
(* (/ (* a b) 4.0) (/ (* a b) 4.0))
798.0ms
(- (* (+ (* x y) (/ (* z t) 16.0)) (+ (* x y) (/ (* z t) 16.0))) (* (/ (* a b) 4.0) (/ (* a b) 4.0)))
393.0ms
(/ (- (* (+ (* x y) (/ (* z t) 16.0)) (+ (* x y) (/ (* z t) 16.0))) (* (/ (* a b) 4.0) (/ (* a b) 4.0))) (+ (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)))

simplify657.0ms

Counts
209 → 209

prune1.1s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize72.0ms

Local error

Found 4 expressions with local error:

26.0b
(cbrt (* (/ (* a b) 4.0) (/ (* a b) 4.0)))
26.0b
(cbrt (* (/ (* a b) 4.0) (/ (* a b) 4.0)))
26.0b
(cbrt (* (/ (* a b) 4.0) (/ (* a b) 4.0)))
27.4b
(/ (- (* (+ (* x y) (/ (* z t) 16.0)) (+ (* x y) (/ (* z t) 16.0))) (* (* (cbrt (* (/ (* a b) 4.0) (/ (* a b) 4.0))) (cbrt (* (/ (* a b) 4.0) (/ (* a b) 4.0)))) (cbrt (* (/ (* a b) 4.0) (/ (* a b) 4.0))))) (+ (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)))

rewrite617.0ms

Algorithm
rewrite-expression-head
Rules
1287×frac-times
1161×cbrt-div
729×associate-*l/
633×associate-*r/
506×associate-/l/
504×frac-sub
380×flip3-+ flip-+
21×*-un-lft-identity
13×add-sqr-sqrt add-cube-cbrt
12×times-frac
6×add-exp-log add-cbrt-cube
4×pow1 associate-/r* associate-/r/ distribute-lft-out add-log-exp
3×cbrt-prod pow1/3 associate-/l*
2×frac-add
1×cbrt-undiv flip3-- frac-2neg div-sub div-exp clear-num flip-- div-inv
Counts
4 → 578
Calls
4 calls:
25.0ms
(cbrt (* (/ (* a b) 4.0) (/ (* a b) 4.0)))
30.0ms
(cbrt (* (/ (* a b) 4.0) (/ (* a b) 4.0)))
23.0ms
(cbrt (* (/ (* a b) 4.0) (/ (* a b) 4.0)))
402.0ms
(/ (- (* (+ (* x y) (/ (* z t) 16.0)) (+ (* x y) (/ (* z t) 16.0))) (* (* (cbrt (* (/ (* a b) 4.0) (/ (* a b) 4.0))) (cbrt (* (/ (* a b) 4.0) (/ (* a b) 4.0)))) (cbrt (* (/ (* a b) 4.0) (/ (* a b) 4.0))))) (+ (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)))

series1.0s

Counts
4 → 12
Calls
4 calls:
183.0ms
(cbrt (* (/ (* a b) 4.0) (/ (* a b) 4.0)))
183.0ms
(cbrt (* (/ (* a b) 4.0) (/ (* a b) 4.0)))
194.0ms
(cbrt (* (/ (* a b) 4.0) (/ (* a b) 4.0)))
478.0ms
(/ (- (* (+ (* x y) (/ (* z t) 16.0)) (+ (* x y) (/ (* z t) 16.0))) (* (* (cbrt (* (/ (* a b) 4.0) (/ (* a b) 4.0))) (cbrt (* (/ (* a b) 4.0) (/ (* a b) 4.0)))) (cbrt (* (/ (* a b) 4.0) (/ (* a b) 4.0))))) (+ (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)))

simplify2.3s

Counts
590 → 590

prune7.9s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes479.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify769.0ms

end0.0ms

sample1.9s

Algorithm
intervals
Results
853.0ms11779×body80valid