Details

Time bar (total: 19.4s)

sample53.0ms

Algorithm
intervals
Results
28.0ms256×body80valid

simplify4.0s

Counts
1 → 1
Iterations

Useful iterations: 6 (1.7s)

IterNodesCost
01317
12517
25917
313917
434117
572015
6248613
done500013

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 4.2b

localize15.0ms

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))
7.5b
(/ z (- (/ (* z z) y) (/ t 2.0)))
7.9b
(/ (* z z) y)

rewrite178.0ms

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:
83.0ms
(- x (/ z (- (/ (* z z) y) (/ t 2.0))))
26.0ms
(- (/ (* z z) y) (/ t 2.0))
48.0ms
(/ z (- (/ (* z z) y) (/ t 2.0)))
16.0ms
(/ (* z z) y)

series212.0ms

Counts
4 → 12
Calls
4 calls:
71.0ms
(- x (/ z (- (/ (* z z) y) (/ t 2.0))))
53.0ms
(- (/ (* z z) y) (/ t 2.0))
65.0ms
(/ z (- (/ (* z z) y) (/ t 2.0)))
23.0ms
(/ (* z z) y)

simplify2.1s

Counts
116 → 116
Iterations

Useful iterations: done (2.1s)

IterNodesCost
01821857
13671783
29061685
324471685
done50001679

prune412.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 3 expressions with local error:

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

rewrite424.0ms

Algorithm
rewrite-expression-head
Rules
131×add-sqr-sqrt
90×times-frac
53×*-un-lft-identity
33×difference-of-squares
19×add-cube-cbrt
12×distribute-lft-out--
11×associate-/r*
7×add-exp-log add-log-exp
5×add-cbrt-cube
4×pow1
3×flip3-- associate-/r/ flip-- associate-/l*
2×sub-neg diff-log div-exp frac-sub div-inv
1×cbrt-undiv rec-exp pow-flip frac-2neg 1-exp clear-num inv-pow
Counts
3 → 104
Calls
3 calls:
186.0ms
(- x (/ 1 (- (/ z y) (/ (/ t 2.0) z))))
81.0ms
(- (/ z y) (/ (/ t 2.0) z))
152.0ms
(/ 1 (- (/ z y) (/ (/ t 2.0) z)))

series138.0ms

Counts
3 → 9
Calls
3 calls:
53.0ms
(- x (/ 1 (- (/ z y) (/ (/ t 2.0) z))))
42.0ms
(- (/ z y) (/ (/ t 2.0) z))
43.0ms
(/ 1 (- (/ z y) (/ (/ t 2.0) z)))

simplify3.7s

Counts
113 → 113
Iterations

Useful iterations: 4 (2.1s)

IterNodesCost
01712151
13301976
26341912
314581910
446711909
done50011909

prune422.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (/ z (- (/ z (/ y z)) (/ t 2.0))))
0.0b
(- (/ z (/ y z)) (/ t 2.0))
0.1b
(/ z (/ y z))
7.5b
(/ z (- (/ z (/ y z)) (/ t 2.0)))

rewrite489.0ms

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:
230.0ms
(- x (/ z (- (/ z (/ y z)) (/ t 2.0))))
83.0ms
(- (/ z (/ y z)) (/ t 2.0))
15.0ms
(/ z (/ y z))
139.0ms
(/ z (- (/ z (/ y z)) (/ t 2.0)))

series232.0ms

Counts
4 → 12
Calls
4 calls:
83.0ms
(- x (/ z (- (/ z (/ y z)) (/ t 2.0))))
47.0ms
(- (/ z (/ y z)) (/ t 2.0))
26.0ms
(/ z (/ y z))
76.0ms
(/ z (- (/ z (/ y z)) (/ t 2.0)))

simplify2.0s

Counts
180 → 180
Iterations

Useful iterations: done (2.0s)

IterNodesCost
02922961
15882811
218352611
done50002593

prune617.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* z 2.0) (* (/ y z) t))
0.7b
(/ z (- (* z 2.0) (* (/ y z) t)))
4.0b
(* (/ y z) t)
14.1b
(* (/ z (- (* z 2.0) (* (/ y z) t))) (* (/ y z) 2.0))

rewrite173.0ms

Algorithm
rewrite-expression-head
Rules
32×add-exp-log add-sqr-sqrt add-cbrt-cube
28×times-frac associate-*l*
27×add-cube-cbrt *-un-lft-identity
12×prod-exp cbrt-unprod
11×pow1
7×cbrt-undiv div-exp
6×add-log-exp
4×associate-*r* pow-prod-down associate-*l/ associate-/r/
3×flip3-- associate-/r* flip-- div-inv associate-/l*
2×*-commutative unswap-sqr
1×frac-times sub-neg frac-2neg diff-log associate-*r/ clear-num
Counts
4 → 114
Calls
4 calls:
19.0ms
(- (* z 2.0) (* (/ y z) t))
25.0ms
(/ z (- (* z 2.0) (* (/ y z) t)))
29.0ms
(* (/ y z) t)
93.0ms
(* (/ z (- (* z 2.0) (* (/ y z) t))) (* (/ y z) 2.0))

series230.0ms

Counts
4 → 12
Calls
4 calls:
64.0ms
(- (* z 2.0) (* (/ y z) t))
72.0ms
(/ z (- (* z 2.0) (* (/ y z) t)))
37.0ms
(* (/ y z) t)
57.0ms
(* (/ z (- (* z 2.0) (* (/ y z) t))) (* (/ y z) 2.0))

simplify1.7s

Counts
126 → 126
Iterations

Useful iterations: 2 (362.0ms)

IterNodesCost
01812031
14851979
217931655
done50001655

prune433.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes83.0ms

Accuracy

0% (1.3b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 1.3b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01113
done1113

end0.0ms

sample1.7s

Algorithm
intervals
Results
1.2s8000×body80valid