Details

Time bar (total: 6.5s)

sample27.0ms

Algorithm
intervals
Results
13.0ms343×body80valid

simplify724.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01417
12517
24617
38117
412617
518817
632017
7100517
done500017

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.4b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (* z 2.0) (- 1.0 t))
0.0b
(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
7.3b
(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

rewrite42.0ms

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:
13.0ms
(* (* z 2.0) (- 1.0 t))
17.0ms
(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
10.0ms
(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

series163.0ms

Counts
3 → 9
Calls
3 calls:
45.0ms
(* (* z 2.0) (- 1.0 t))
53.0ms
(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
66.0ms
(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

simplify725.0ms

Counts
71 → 71
Iterations

Useful iterations: 2 (120.0ms)

IterNodesCost
01401189
14181116
21608980
done5000980

prune165.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ x y) (- (+ (/ 2.0 t) (/ 2.0 (* t z))) 2.0))
0.0b
(+ (/ 2.0 t) (/ 2.0 (* t z)))
0.7b
(/ 2.0 (* t z))

rewrite196.0ms

Algorithm
rewrite-expression-head
Rules
16×*-un-lft-identity
14×add-log-exp
8×add-exp-log add-cbrt-cube
6×distribute-lft-out
5×add-sqr-sqrt add-cube-cbrt sum-log
3×pow1 associate-+r+ times-frac frac-add div-inv associate-/l*
2×cbrt-undiv +-commutative flip3-+ diff-log div-exp flip-+ distribute-lft-out--
1×associate-+r- sub-neg flip3-- frac-2neg prod-exp associate--l+ clear-num associate-/r* flip-- cbrt-unprod
Counts
3 → 57
Calls
3 calls:
179.0ms
(+ (/ x y) (- (+ (/ 2.0 t) (/ 2.0 (* t z))) 2.0))
13.0ms
(+ (/ 2.0 t) (/ 2.0 (* t z)))
3.0ms
(/ 2.0 (* t z))

series127.0ms

Counts
3 → 9
Calls
3 calls:
57.0ms
(+ (/ x y) (- (+ (/ 2.0 t) (/ 2.0 (* t z))) 2.0))
46.0ms
(+ (/ 2.0 t) (/ 2.0 (* t z)))
23.0ms
(/ 2.0 (* t z))

simplify394.0ms

Counts
66 → 66
Iterations

Useful iterations: done (392.0ms)

IterNodesCost
01261037
1364967
21179905
done5000877

prune145.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ x y) (- (+ (/ 2.0 t) (* (/ 1 t) (/ 2.0 z))) 2.0))
0.0b
(+ (/ 2.0 t) (* (/ 1 t) (/ 2.0 z)))
0.4b
(* (/ 1 t) (/ 2.0 z))

rewrite129.0ms

Algorithm
rewrite-expression-head
Rules
34×add-sqr-sqrt
25×add-exp-log times-frac
24×*-un-lft-identity
17×add-cube-cbrt
15×add-cbrt-cube
14×add-log-exp
13×associate-*r* associate-*l*
8×div-exp prod-exp
6×unswap-sqr
5×pow1 frac-add sum-log
4×cbrt-undiv cbrt-unprod
3×associate-+r+
2×+-commutative frac-times rec-exp flip3-+ diff-log 1-exp associate-*r/ associate-*l/ flip-+ div-inv distribute-lft-out
1×associate-+r- sub-neg flip3-- pow-prod-down associate--l+ *-commutative flip-- distribute-lft-out--
Counts
3 → 91
Calls
3 calls:
102.0ms
(+ (/ x y) (- (+ (/ 2.0 t) (* (/ 1 t) (/ 2.0 z))) 2.0))
9.0ms
(+ (/ 2.0 t) (* (/ 1 t) (/ 2.0 z)))
15.0ms
(* (/ 1 t) (/ 2.0 z))

series121.0ms

Counts
3 → 9
Calls
3 calls:
55.0ms
(+ (/ x y) (- (+ (/ 2.0 t) (* (/ 1 t) (/ 2.0 z))) 2.0))
45.0ms
(+ (/ 2.0 t) (* (/ 1 t) (/ 2.0 z)))
21.0ms
(* (/ 1 t) (/ 2.0 z))

simplify1.1s

Counts
100 → 100
Iterations

Useful iterations: 2 (195.0ms)

IterNodesCost
02021590
16251291
225611161
done50011161

prune226.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

1.9b
(* y (+ 2.0 (* (* z 2.0) (- 1.0 t))))
2.3b
(+ (* x (* t z)) (* y (+ 2.0 (* (* z 2.0) (- 1.0 t)))))
3.7b
(* x (* t z))
22.7b
(/ (+ (* x (* t z)) (* y (+ 2.0 (* (* z 2.0) (- 1.0 t))))) (* y (* t z)))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
20×add-exp-log add-cbrt-cube
11×pow1 add-sqr-sqrt
9×add-cube-cbrt *-un-lft-identity
7×prod-exp cbrt-unprod
6×associate-*l* add-log-exp
4×associate-*r* pow-prod-down
3×cbrt-undiv flip3-+ times-frac div-exp flip-+ associate-/l*
2×distribute-rgt-in associate-+r+ distribute-lft-in associate-*r/ *-commutative associate-/l/
1×+-commutative frac-2neg clear-num associate-/r* sum-log div-inv unswap-sqr
Counts
4 → 78
Calls
4 calls:
7.0ms
(* y (+ 2.0 (* (* z 2.0) (- 1.0 t))))
6.0ms
(+ (* x (* t z)) (* y (+ 2.0 (* (* z 2.0) (- 1.0 t)))))
6.0ms
(* x (* t z))
24.0ms
(/ (+ (* x (* t z)) (* y (+ 2.0 (* (* z 2.0) (- 1.0 t))))) (* y (* t z)))

series313.0ms

Counts
4 → 12
Calls
4 calls:
55.0ms
(* y (+ 2.0 (* (* z 2.0) (- 1.0 t))))
64.0ms
(+ (* x (* t z)) (* y (+ 2.0 (* (* z 2.0) (- 1.0 t)))))
25.0ms
(* x (* t z))
168.0ms
(/ (+ (* x (* t z)) (* y (+ 2.0 (* (* z 2.0) (- 1.0 t))))) (* y (* t z)))

simplify752.0ms

Counts
90 → 90
Iterations

Useful iterations: 2 (152.0ms)

IterNodesCost
01581838
14891763
223131483
done50011483

prune202.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes150.0ms

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
01417
11917
done1917

end0.0ms

sample683.0ms

Algorithm
intervals
Results
418.0ms10423×body80valid