Details

Time bar (total: 16.1s)

sample46.0ms

Algorithm
intervals
Results
18.0ms327×body80valid

simplify2.4s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01417
12517
24617
39617
417817
528117
686717
7389917
done500017

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.2b

localize35.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
0.0b
(* (* z 2.0) (- 1.0 t))
8.2b
(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

rewrite130.0ms

Algorithm
rewrite-expression-head
Rules
13×add-exp-log add-cbrt-cube
10×*-un-lft-identity
8×pow1 add-sqr-sqrt
6×add-cube-cbrt
5×associate-*r* add-log-exp
4×prod-exp cbrt-unprod
3×times-frac pow-prod-down associate-/l*
2×cbrt-undiv distribute-rgt-in sub-neg distribute-lft-in flip3-+ associate-*r/ div-exp flip-+ associate-/l/
1×+-commutative flip3-- frac-2neg associate-*l* frac-add clear-num associate-/r* sum-log *-commutative flip-- div-inv distribute-lft-out distribute-lft-out-- difference-of-squares
Counts
3 → 62
Calls
3 calls:
59.0ms
(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
30.0ms
(* (* z 2.0) (- 1.0 t))
36.0ms
(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

series226.0ms

Counts
3 → 9
Calls
3 calls:
60.0ms
(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
54.0ms
(* (* z 2.0) (- 1.0 t))
111.0ms
(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

simplify1.3s

Counts
71 → 71
Iterations

Useful iterations: done (1.3s)

IterNodesCost
01401189
14221116
22081986
done5001984

prune349.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (+ (/ 2.0 t) (/ 2.0 (* t z))) 2.0)
0.0b
(+ (/ x y) (- (+ (/ 2.0 t) (/ 2.0 (* t z))) 2.0))
0.0b
(+ (/ 2.0 t) (/ 2.0 (* t z)))
0.4b
(/ 2.0 (* t z))

rewrite613.0ms

Algorithm
rewrite-expression-head
Rules
22×*-un-lft-identity
20×add-log-exp
9×add-exp-log add-cbrt-cube
8×add-sqr-sqrt
7×distribute-lft-out
6×add-cube-cbrt sum-log
4×pow1 diff-log distribute-lft-out--
3×associate-+r+ times-frac frac-add div-inv associate-/l*
2×cbrt-undiv +-commutative sub-neg flip3-- flip3-+ div-exp associate--l+ flip-- flip-+
1×associate-+r- frac-2neg prod-exp clear-num associate-/r* cbrt-unprod difference-of-squares
Counts
4 → 74
Calls
4 calls:
201.0ms
(- (+ (/ 2.0 t) (/ 2.0 (* t z))) 2.0)
373.0ms
(+ (/ x y) (- (+ (/ 2.0 t) (/ 2.0 (* t z))) 2.0))
23.0ms
(+ (/ 2.0 t) (/ 2.0 (* t z)))
14.0ms
(/ 2.0 (* t z))

series210.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(- (+ (/ 2.0 t) (/ 2.0 (* t z))) 2.0)
67.0ms
(+ (/ x y) (- (+ (/ 2.0 t) (/ 2.0 (* t z))) 2.0))
78.0ms
(+ (/ 2.0 t) (/ 2.0 (* t z)))
25.0ms
(/ 2.0 (* t z))

simplify1.1s

Counts
86 → 86
Iterations

Useful iterations: 2 (285.0ms)

IterNodesCost
01351372
13771269
218191201
done50001201

prune399.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (+ (/ 2.0 t) (/ (/ 2.0 t) z)) 2.0)
0.0b
(+ (/ x y) (- (+ (/ 2.0 t) (/ (/ 2.0 t) z)) 2.0))
0.0b
(+ (/ 2.0 t) (/ (/ 2.0 t) z))
0.2b
(/ (/ 2.0 t) z)

rewrite1.5s

Algorithm
rewrite-expression-head
Rules
77×times-frac
66×*-un-lft-identity
48×add-sqr-sqrt
46×add-cube-cbrt
20×add-log-exp
13×associate-/l*
9×add-exp-log add-cbrt-cube
7×distribute-lft-out
6×sum-log
5×div-inv
4×pow1 diff-log distribute-lft-out--
3×cbrt-undiv associate-+r+ div-exp frac-add associate-/r*
2×+-commutative sub-neg flip3-- flip3-+ associate--l+ flip-- flip-+
1×associate-+r- frac-2neg clear-num associate-/l/ difference-of-squares
Counts
4 → 123
Calls
4 calls:
599.0ms
(- (+ (/ 2.0 t) (/ (/ 2.0 t) z)) 2.0)
752.0ms
(+ (/ x y) (- (+ (/ 2.0 t) (/ (/ 2.0 t) z)) 2.0))
82.0ms
(+ (/ 2.0 t) (/ (/ 2.0 t) z))
16.0ms
(/ (/ 2.0 t) z)

series239.0ms

Counts
4 → 12
Calls
4 calls:
50.0ms
(- (+ (/ 2.0 t) (/ (/ 2.0 t) z)) 2.0)
83.0ms
(+ (/ x y) (- (+ (/ 2.0 t) (/ (/ 2.0 t) z)) 2.0))
78.0ms
(+ (/ 2.0 t) (/ (/ 2.0 t) z))
28.0ms
(/ (/ 2.0 t) z)

simplify1.4s

Counts
135 → 135
Iterations

Useful iterations: 2 (503.0ms)

IterNodesCost
02382047
16381894
229171830
done50021830

prune675.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (+ (/ 2.0 t) (* (/ 1 t) (/ 2.0 z))) 2.0)
0.0b
(+ (/ x y) (- (+ (/ 2.0 t) (* (/ 1 t) (/ 2.0 z))) 2.0))
0.0b
(+ (/ 2.0 t) (* (/ 1 t) (/ 2.0 z)))
0.3b
(* (/ 1 t) (/ 2.0 z))

rewrite462.0ms

Algorithm
rewrite-expression-head
Rules
37×add-sqr-sqrt
27×*-un-lft-identity
26×add-exp-log
25×times-frac
20×add-log-exp
18×add-cube-cbrt
16×add-cbrt-cube
13×associate-*r* associate-*l*
8×div-exp prod-exp
6×pow1 sum-log unswap-sqr
5×frac-add
4×cbrt-undiv diff-log cbrt-unprod
3×associate-+r+
2×+-commutative frac-times sub-neg rec-exp flip3-- flip3-+ 1-exp associate-*r/ associate-*l/ associate--l+ flip-- flip-+ div-inv distribute-lft-out distribute-lft-out--
1×associate-+r- pow-prod-down *-commutative difference-of-squares
Counts
4 → 107
Calls
4 calls:
141.0ms
(- (+ (/ 2.0 t) (* (/ 1 t) (/ 2.0 z))) 2.0)
236.0ms
(+ (/ x y) (- (+ (/ 2.0 t) (* (/ 1 t) (/ 2.0 z))) 2.0))
30.0ms
(+ (/ 2.0 t) (* (/ 1 t) (/ 2.0 z)))
50.0ms
(* (/ 1 t) (/ 2.0 z))

series231.0ms

Counts
4 → 12
Calls
4 calls:
55.0ms
(- (+ (/ 2.0 t) (* (/ 1 t) (/ 2.0 z))) 2.0)
86.0ms
(+ (/ x y) (- (+ (/ 2.0 t) (* (/ 1 t) (/ 2.0 z))) 2.0))
66.0ms
(+ (/ 2.0 t) (* (/ 1 t) (/ 2.0 z)))
24.0ms
(* (/ 1 t) (/ 2.0 z))

simplify2.2s

Counts
119 → 119
Iterations

Useful iterations: 2 (620.0ms)

IterNodesCost
02121960
16651796
236971446
done50001446

prune476.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes290.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01115
11315
done1315

end0.0ms

sample1.8s

Algorithm
intervals
Results
1.2s10459×body80valid