Details

Time bar (total: 13.9s)

sample22.0ms

Algorithm
intervals
Results
9.0ms256×body80valid

simplify2.9s

Counts
1 → 1
Iterations

Useful iterations: 6 (1.1s)

IterNodesCost
01317
12517
25917
313917
434117
572015
6248613
done500013

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 3.2b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (/ z (- (/ (* z z) y) (/ t 2.0))))
0.0b
(- (/ (* z z) y) (/ t 2.0))
6.7b
(/ z (- (/ (* z z) y) (/ t 2.0)))
9.2b
(/ (* z z) y)

rewrite130.0ms

Algorithm
rewrite-expression-head
Rules
74×add-sqr-sqrt
48×times-frac
31×*-un-lft-identity
22×difference-of-squares
19×add-cube-cbrt
11×add-exp-log associate-/r* add-cbrt-cube
8×add-log-exp
6×distribute-lft-out--
4×pow1 associate-/l*
3×cbrt-undiv flip3-- div-exp associate-/r/ flip--
2×sub-neg frac-2neg diff-log clear-num frac-sub div-inv
1×prod-exp cbrt-unprod
Counts
4 → 104
Calls
4 calls:
60.0ms
(- x (/ z (- (/ (* z z) y) (/ t 2.0))))
23.0ms
(- (/ (* z z) y) (/ t 2.0))
34.0ms
(/ z (- (/ (* z z) y) (/ t 2.0)))
10.0ms
(/ (* z z) y)

series148.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(- x (/ z (- (/ (* z z) y) (/ t 2.0))))
38.0ms
(- (/ (* z z) y) (/ t 2.0))
43.0ms
(/ z (- (/ (* z z) y) (/ t 2.0)))
21.0ms
(/ (* z z) y)

simplify1.6s

Counts
116 → 116
Iterations

Useful iterations: done (1.6s)

IterNodesCost
01821857
13671783
29061685
324471685
done50001679

prune269.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(- x (/ 1 (- (/ z y) (/ (/ t 2.0) z))))
0.6b
(/ 1 (- (/ z y) (/ (/ t 2.0) z)))

rewrite205.0ms

Algorithm
rewrite-expression-head
Rules
109×add-sqr-sqrt
79×times-frac
46×*-un-lft-identity
27×difference-of-squares
18×add-cube-cbrt
11×associate-/r*
10×distribute-lft-out--
6×add-exp-log
4×add-cbrt-cube add-log-exp
3×pow1 associate-/r/ associate-/l*
2×flip3-- div-exp flip-- div-inv
1×cbrt-undiv sub-neg rec-exp pow-flip frac-2neg diff-log 1-exp clear-num frac-sub inv-pow
Counts
2 → 83
Calls
2 calls:
122.0ms
(- x (/ 1 (- (/ z y) (/ (/ t 2.0) z))))
78.0ms
(/ 1 (- (/ z y) (/ (/ t 2.0) z)))

series61.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(- x (/ 1 (- (/ z y) (/ (/ t 2.0) z))))
27.0ms
(/ 1 (- (/ z y) (/ (/ t 2.0) z)))

simplify2.2s

Counts
89 → 89
Iterations

Useful iterations: 4 (1.3s)

IterNodesCost
01571751
12991583
25581537
312971535
444181534
done50011534

prune146.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ z (/ y z)) (/ t 2.0))
0.0b
(- x (/ z (- (/ z (/ y z)) (/ t 2.0))))
0.1b
(/ z (/ y z))
6.7b
(/ z (- (/ z (/ y z)) (/ t 2.0)))

rewrite297.0ms

Algorithm
rewrite-expression-head
Rules
172×add-sqr-sqrt
164×times-frac
94×*-un-lft-identity
62×add-cube-cbrt
32×difference-of-squares
24×associate-/r*
11×add-exp-log add-cbrt-cube distribute-lft-out--
8×add-log-exp
6×div-inv associate-/l*
4×pow1 cbrt-undiv div-exp associate-/r/
3×flip3-- flip--
2×sub-neg frac-2neg diff-log clear-num frac-sub
Counts
4 → 168
Calls
4 calls:
59.0ms
(- (/ z (/ y z)) (/ t 2.0))
134.0ms
(- x (/ z (- (/ z (/ y z)) (/ t 2.0))))
8.0ms
(/ z (/ y z))
84.0ms
(/ z (- (/ z (/ y z)) (/ t 2.0)))

series147.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(- (/ z (/ y z)) (/ t 2.0))
48.0ms
(- x (/ z (- (/ z (/ y z)) (/ t 2.0))))
20.0ms
(/ z (/ y z))
44.0ms
(/ z (- (/ z (/ y z)) (/ t 2.0)))

simplify1.5s

Counts
180 → 180
Iterations

Useful iterations: done (1.5s)

IterNodesCost
02922961
15882811
218362611
done50002593

prune421.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (* (/ 1 (- (* z z) (* y (/ t 2.0)))) (* y z)))
0.5b
(/ 1 (- (* z z) (* y (/ t 2.0))))
0.7b
(- (* z z) (* y (/ t 2.0)))
19.8b
(* (/ 1 (- (* z z) (* y (/ t 2.0)))) (* y z))

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
30×add-exp-log
19×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
18×times-frac add-cbrt-cube
15×associate-*l*
12×prod-exp
10×pow1
8×add-log-exp
6×div-exp cbrt-unprod
4×flip3-- associate-/r/ flip--
3×cbrt-undiv rec-exp 1-exp pow-prod-down associate-/r* associate-/l*
2×sub-neg diff-log div-inv
1×pow-flip frac-2neg associate-*r* associate-*l/ clear-num *-commutative inv-pow
Counts
4 → 96
Calls
4 calls:
6.0ms
(- x (* (/ 1 (- (* z z) (* y (/ t 2.0)))) (* y z)))
16.0ms
(/ 1 (- (* z z) (* y (/ t 2.0))))
8.0ms
(- (* z z) (* y (/ t 2.0)))
48.0ms
(* (/ 1 (- (* z z) (* y (/ t 2.0)))) (* y z))

series197.0ms

Counts
4 → 12
Calls
4 calls:
57.0ms
(- x (* (/ 1 (- (* z z) (* y (/ t 2.0)))) (* y z)))
36.0ms
(/ 1 (- (* z z) (* y (/ t 2.0))))
46.0ms
(- (* z z) (* y (/ t 2.0)))
58.0ms
(* (/ 1 (- (* z z) (* y (/ t 2.0)))) (* y z))

simplify2.8s

Counts
108 → 108
Iterations

Useful iterations: 2 (224.0ms)

IterNodesCost
01441953
13751720
212001490
349031490
done50001490

prune205.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes66.0ms

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
01213
11413
done1413

end0.0ms

sample566.0ms

Algorithm
intervals
Results
285.0ms8000×body80valid