Details

Time bar (total: 15.3s)

sample81.0ms

Algorithm
intervals
Results
40.0ms383×body80valid

simplify779.0ms

Counts
1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize22.0ms

Local error

Found 4 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))
0.2b
(/ (* z t) 16.0)

rewrite340.0ms

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:
236.0ms
(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)
11.0ms
(+ (* x y) (/ (* z t) 16.0))
76.0ms
(- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))
15.0ms
(/ (* z t) 16.0)

series365.0ms

Counts
4 → 12
Calls
4 calls:
170.0ms
(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)
64.0ms
(+ (* x y) (/ (* z t) 16.0))
112.0ms
(- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))
19.0ms
(/ (* z t) 16.0)

simplify613.0ms

Counts
81 → 81

prune310.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 3 expressions with local error:

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

rewrite261.0ms

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:
189.0ms
(+ (- (+ (* x y) (* (/ z (sqrt 16.0)) (/ t (sqrt 16.0)))) (/ (* a b) 4.0)) c)
8.0ms
(+ (* x y) (* (/ z (sqrt 16.0)) (/ t (sqrt 16.0))))
61.0ms
(- (+ (* x y) (* (/ z (sqrt 16.0)) (/ t (sqrt 16.0)))) (/ (* a b) 4.0))

series1.1s

Counts
3 → 9
Calls
3 calls:
498.0ms
(+ (- (+ (* x y) (* (/ z (sqrt 16.0)) (/ t (sqrt 16.0)))) (/ (* a b) 4.0)) c)
254.0ms
(+ (* x y) (* (/ z (sqrt 16.0)) (/ t (sqrt 16.0))))
328.0ms
(- (+ (* x y) (* (/ z (sqrt 16.0)) (/ t (sqrt 16.0)))) (/ (* a b) 4.0))

simplify813.0ms

Counts
57 → 57

prune257.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

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

rewrite1.8s

Algorithm
rewrite-expression-head
Rules
75×times-frac
52×*-un-lft-identity
46×add-sqr-sqrt add-cube-cbrt
29×add-log-exp
16×sum-log
13×associate-/r*
9×add-exp-log add-cbrt-cube
5×div-inv
4×pow1 associate-+l-
3×cbrt-undiv +-commutative neg-sub0 flip3-+ div-exp neg-log flip-+ distribute-lft-out associate-/l*
2×associate-+r-
1×associate-+l+ associate-+r+ distribute-rgt-neg-in frac-2neg frac-add clear-num associate-/r/ distribute-neg-frac
Counts
4 → 118
Calls
4 calls:
1.4s
(+ (+ (* x y) (+ (- (/ (* a b) 4.0)) (/ t (/ 16.0 z)))) c)
218.0ms
(+ (* x y) (+ (- (/ (* a b) 4.0)) (/ t (/ 16.0 z))))
69.0ms
(+ (- (/ (* a b) 4.0)) (/ t (/ 16.0 z)))
13.0ms
(/ t (/ 16.0 z))

series477.0ms

Counts
4 → 12
Calls
4 calls:
220.0ms
(+ (+ (* x y) (+ (- (/ (* a b) 4.0)) (/ t (/ 16.0 z)))) c)
130.0ms
(+ (* x y) (+ (- (/ (* a b) 4.0)) (/ t (/ 16.0 z))))
98.0ms
(+ (- (/ (* a b) 4.0)) (/ t (/ 16.0 z)))
29.0ms
(/ t (/ 16.0 z))

simplify1.1s

Counts
130 → 130

prune670.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (+ (* x y) (/ (- (* 4.0 t) (* (* a b) (/ 16.0 z))) (* 4.0 (/ 16.0 z)))) c)
0.0b
(+ (* x y) (/ (- (* 4.0 t) (* (* a b) (/ 16.0 z))) (* 4.0 (/ 16.0 z))))
3.1b
(* (* a b) (/ 16.0 z))
8.8b
(/ (- (* 4.0 t) (* (* a b) (/ 16.0 z))) (* 4.0 (/ 16.0 z)))

rewrite272.0ms

Algorithm
rewrite-expression-head
Rules
25×add-exp-log add-cbrt-cube
15×*-un-lft-identity
13×add-sqr-sqrt add-cube-cbrt associate-*r*
12×times-frac
11×add-log-exp
9×pow1
8×prod-exp cbrt-unprod
6×cbrt-undiv div-exp
4×sum-log
3×div-sub pow-prod-down associate-/l*
2×+-commutative associate-+r- flip3-+ associate-*r/ flip-+ div-inv associate-/l/
1×associate-+l- associate-+l+ flip3-- frac-2neg associate-*l* clear-num associate-/r* associate-/r/ *-commutative flip-- distribute-lft-out
Counts
4 → 87
Calls
4 calls:
163.0ms
(+ (+ (* x y) (/ (- (* 4.0 t) (* (* a b) (/ 16.0 z))) (* 4.0 (/ 16.0 z)))) c)
21.0ms
(+ (* x y) (/ (- (* 4.0 t) (* (* a b) (/ 16.0 z))) (* 4.0 (/ 16.0 z))))
42.0ms
(* (* a b) (/ 16.0 z))
43.0ms
(/ (- (* 4.0 t) (* (* a b) (/ 16.0 z))) (* 4.0 (/ 16.0 z)))

series499.0ms

Counts
4 → 12
Calls
4 calls:
218.0ms
(+ (+ (* x y) (/ (- (* 4.0 t) (* (* a b) (/ 16.0 z))) (* 4.0 (/ 16.0 z)))) c)
125.0ms
(+ (* x y) (/ (- (* 4.0 t) (* (* a b) (/ 16.0 z))) (* 4.0 (/ 16.0 z))))
42.0ms
(* (* a b) (/ 16.0 z))
113.0ms
(/ (- (* 4.0 t) (* (* a b) (/ 16.0 z))) (* 4.0 (/ 16.0 z)))

simplify1.1s

Counts
99 → 99

prune430.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes279.0ms

Accuracy

-1953.1% (0.1b remaining)

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

bsearch0.0ms

simplify1.1s

end0.0ms

sample2.7s

Algorithm
intervals
Results
1.5s11948×body80valid