Details

Time bar (total: 17.9s)

sample32.0ms

Algorithm
intervals
Results
17.0ms256×body80valid

simplify3.7s

Counts
1 → 1
Iterations

Useful iterations: 6 (1.5s)

IterNodesCost
01317
12517
25917
313917
434117
572015
6248613
done500013

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 3.3b

localize10.0ms

Local error

Found 2 expressions with local error:

7.8b
(/ z (- (/ (* z z) y) (/ t 2.0)))
9.6b
(/ (* z z) y)

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
57×add-sqr-sqrt
43×times-frac
25×*-un-lft-identity
17×add-cube-cbrt
16×difference-of-squares
11×associate-/r*
9×add-exp-log add-cbrt-cube
4×associate-/l* distribute-lft-out--
3×cbrt-undiv div-exp associate-/r/
2×pow1 frac-2neg clear-num div-inv add-log-exp
1×flip3-- prod-exp frac-sub flip-- cbrt-unprod
Counts
2 → 71
Calls
2 calls:
34.0ms
(/ z (- (/ (* z z) y) (/ t 2.0)))
18.0ms
(/ (* z z) y)

series77.0ms

Counts
2 → 6
Calls
2 calls:
56.0ms
(/ z (- (/ (* z z) y) (/ t 2.0)))
21.0ms
(/ (* z z) y)

simplify2.9s

Counts
77 → 77
Iterations

Useful iterations: done (2.9s)

IterNodesCost
01441181
12821147
27161079
319201079
done50001075

prune253.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 1 expressions with local error:

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

rewrite122.0ms

Algorithm
rewrite-expression-head
Rules
101×add-sqr-sqrt
77×times-frac
41×*-un-lft-identity
24×difference-of-squares
17×add-cube-cbrt
11×associate-/r*
8×distribute-lft-out--
5×add-exp-log
3×associate-/r/ add-cbrt-cube associate-/l*
2×pow1 div-exp
1×cbrt-undiv rec-exp flip3-- pow-flip frac-2neg 1-exp clear-num frac-sub flip-- div-inv inv-pow add-log-exp
Counts
1 → 66
Calls
1 calls:
117.0ms
(/ 1 (- (/ z y) (/ (/ t 2.0) z)))

series34.0ms

Counts
1 → 3
Calls
1 calls:
33.0ms
(/ 1 (- (/ z y) (/ (/ t 2.0) z)))

simplify2.7s

Counts
69 → 69
Iterations

Useful iterations: 4 (1.4s)

IterNodesCost
01291353
12361224
24341184
310261184
436321183
done50001183

prune135.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ z (/ y z))
7.8b
(/ z (- (/ z (/ y z)) (/ t 2.0)))

rewrite132.0ms

Algorithm
rewrite-expression-head
Rules
152×times-frac
144×add-sqr-sqrt
84×*-un-lft-identity
60×add-cube-cbrt
24×associate-/r* difference-of-squares
9×add-exp-log add-cbrt-cube
8×distribute-lft-out--
6×div-inv associate-/l*
4×cbrt-undiv div-exp associate-/r/
2×pow1 frac-2neg clear-num add-log-exp
1×flip3-- frac-sub flip--
Counts
2 → 132
Calls
2 calls:
9.0ms
(/ z (/ y z))
116.0ms
(/ z (- (/ z (/ y z)) (/ t 2.0)))

series87.0ms

Counts
2 → 6
Calls
2 calls:
24.0ms
(/ z (/ y z))
63.0ms
(/ z (- (/ z (/ y z)) (/ t 2.0)))

simplify2.4s

Counts
138 → 138
Iterations

Useful iterations: done (2.4s)

IterNodesCost
02542208
15022098
216531940
done50001924

prune557.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (/ y z) 2.0)
1.3b
(/ z (- (* z 2.0) (* (/ y z) t)))
5.9b
(* (/ y z) t)
10.9b
(* (/ z (- (* z 2.0) (* (/ y z) t))) (* (/ y z) 2.0))

rewrite177.0ms

Algorithm
rewrite-expression-head
Rules
45×add-sqr-sqrt
41×associate-*l*
38×times-frac
37×add-exp-log add-cbrt-cube
35×add-cube-cbrt *-un-lft-identity
14×prod-exp cbrt-unprod
13×pow1
8×cbrt-undiv div-exp
7×associate-*r*
5×pow-prod-down associate-*l/
4×associate-/r/ div-inv add-log-exp unswap-sqr
3×associate-/r* *-commutative associate-/l*
2×flip3-- flip--
1×frac-times frac-2neg associate-*r/ clear-num
Counts
4 → 134
Calls
4 calls:
34.0ms
(* (/ y z) 2.0)
16.0ms
(/ z (- (* z 2.0) (* (/ y z) t)))
15.0ms
(* (/ y z) t)
102.0ms
(* (/ z (- (* z 2.0) (* (/ y z) t))) (* (/ y z) 2.0))

series204.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(* (/ y z) 2.0)
69.0ms
(/ z (- (* z 2.0) (* (/ y z) t)))
37.0ms
(* (/ y z) t)
78.0ms
(* (/ z (- (* z 2.0) (* (/ y z) t))) (* (/ y z) 2.0))

simplify2.2s

Counts
146 → 146
Iterations

Useful iterations: 2 (881.0ms)

IterNodesCost
01982072
15322022
218861684
done50001684

prune580.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes77.0ms

Accuracy

0% (1.1b remaining)

Error of 1.1b against oracle of 0.0b and baseline of 1.1b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01113
done1113

end0.0ms

sample1.2s

Algorithm
intervals
Results
870.0ms8000×body80valid