Details

Time bar (total: 7.5s)

sample29.0ms

Algorithm
intervals
Results
15.0ms322×body80valid

simplify823.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01417
12517
24617
37917
412117
518317
630917
788117
done500117

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.7b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
9.6b
(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
7×add-exp-log add-cbrt-cube
6×*-un-lft-identity
4×add-sqr-sqrt add-cube-cbrt add-log-exp
3×times-frac associate-/l*
2×pow1 cbrt-undiv flip3-+ div-exp flip-+ associate-/l/
1×+-commutative frac-2neg frac-add prod-exp clear-num associate-/r* sum-log cbrt-unprod div-inv distribute-lft-out
Counts
2 → 36
Calls
2 calls:
16.0ms
(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
15.0ms
(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

series115.0ms

Counts
2 → 6
Calls
2 calls:
49.0ms
(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
66.0ms
(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

simplify1.5s

Counts
42 → 42
Iterations

Useful iterations: 2 (82.0ms)

IterNodesCost
094892
1284834
2944738
33944738
done5000738

prune113.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

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)) 2.0))
0.7b
(/ 2.0 (* t z))

rewrite120.0ms

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity
17×add-log-exp
8×add-exp-log frac-add add-cbrt-cube
7×sum-log distribute-lft-out
5×add-sqr-sqrt add-cube-cbrt
3×pow1 associate-+r- associate-+r+ flip3-+ times-frac flip-+ associate-/l*
2×cbrt-undiv +-commutative flip3-- diff-log div-exp flip-- distribute-lft-out--
1×sub-neg frac-2neg prod-exp clear-num associate-/r* cbrt-unprod div-inv
Counts
3 → 62
Calls
3 calls:
87.0ms
(+ (/ x y) (+ (/ 2.0 t) (- (/ 2.0 (* t z)) 2.0)))
28.0ms
(+ (/ 2.0 t) (- (/ 2.0 (* t z)) 2.0))
3.0ms
(/ 2.0 (* t z))

series115.0ms

Counts
3 → 9
Calls
3 calls:
57.0ms
(+ (/ x y) (+ (/ 2.0 t) (- (/ 2.0 (* t z)) 2.0)))
34.0ms
(+ (/ 2.0 t) (- (/ 2.0 (* t z)) 2.0))
23.0ms
(/ 2.0 (* t z))

simplify533.0ms

Counts
71 → 71
Iterations

Useful iterations: done (530.0ms)

IterNodesCost
01391332
14221232
213981172
done50011116

prune164.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ x y) (/ 1 (/ (* t z) (+ 2.0 (* (* z 2.0) (- 1.0 t))))))
0.1b
(/ 1 (/ (* t z) (+ 2.0 (* (* z 2.0) (- 1.0 t)))))
9.5b
(/ (* t z) (+ 2.0 (* (* z 2.0) (- 1.0 t))))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
44×times-frac
30×*-un-lft-identity
29×add-exp-log
23×add-sqr-sqrt add-cube-cbrt
17×add-cbrt-cube
14×div-exp
12×associate-/r*
11×associate-/r/
7×cbrt-undiv div-inv
6×flip3-+ flip-+
5×add-log-exp
4×pow1 prod-exp associate-/l*
3×rec-exp 1-exp distribute-lft-out
2×frac-2neg clear-num cbrt-unprod
1×+-commutative pow-flip frac-add sum-log inv-pow
Counts
3 → 102
Calls
3 calls:
30.0ms
(+ (/ x y) (/ 1 (/ (* t z) (+ 2.0 (* (* z 2.0) (- 1.0 t))))))
9.0ms
(/ 1 (/ (* t z) (+ 2.0 (* (* z 2.0) (- 1.0 t)))))
6.0ms
(/ (* t z) (+ 2.0 (* (* z 2.0) (- 1.0 t))))

series184.0ms

Counts
3 → 9
Calls
3 calls:
58.0ms
(+ (/ x y) (/ 1 (/ (* t z) (+ 2.0 (* (* z 2.0) (- 1.0 t))))))
59.0ms
(/ 1 (/ (* t z) (+ 2.0 (* (* z 2.0) (- 1.0 t)))))
67.0ms
(/ (* t z) (+ 2.0 (* (* z 2.0) (- 1.0 t))))

simplify802.0ms

Counts
111 → 111
Iterations

Useful iterations: 2 (235.0ms)

IterNodesCost
02002668
15372446
219912138
done50002138

prune217.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ x y) (/ (/ 1 t) (/ z (+ 2.0 (* (* z 2.0) (- 1.0 t))))))
0.1b
(/ (/ 1 t) (/ z (+ 2.0 (* (* z 2.0) (- 1.0 t)))))
9.0b
(/ z (+ 2.0 (* (* z 2.0) (- 1.0 t))))

rewrite167.0ms

Algorithm
rewrite-expression-head
Rules
478×times-frac
230×*-un-lft-identity
221×add-sqr-sqrt add-cube-cbrt
33×div-inv
31×associate-/r/
27×add-exp-log
18×associate-/r*
17×div-exp add-cbrt-cube
16×flip3-+ flip-+ associate-/l*
9×cbrt-undiv
5×add-log-exp
3×pow1 distribute-lft-out
2×rec-exp frac-2neg 1-exp clear-num
1×+-commutative frac-add sum-log associate-/l/
Counts
3 → 291
Calls
3 calls:
131.0ms
(+ (/ x y) (/ (/ 1 t) (/ z (+ 2.0 (* (* z 2.0) (- 1.0 t))))))
14.0ms
(/ (/ 1 t) (/ z (+ 2.0 (* (* z 2.0) (- 1.0 t)))))
4.0ms
(/ z (+ 2.0 (* (* z 2.0) (- 1.0 t))))

series190.0ms

Counts
3 → 9
Calls
3 calls:
55.0ms
(+ (/ x y) (/ (/ 1 t) (/ z (+ 2.0 (* (* z 2.0) (- 1.0 t))))))
60.0ms
(/ (/ 1 t) (/ z (+ 2.0 (* (* z 2.0) (- 1.0 t)))))
75.0ms
(/ z (+ 2.0 (* (* z 2.0) (- 1.0 t))))

simplify1.0s

Counts
300 → 300
Iterations

Useful iterations: done (1.0s)

IterNodesCost
05349623
115748775
done50008425

prune519.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes115.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01215
11515
done1515

end0.0ms

sample678.0ms

Algorithm
intervals
Results
416.0ms10529×body80valid