Details

Time bar (total: 22.7s)

sample37.0ms

Algorithm
intervals
Results
20.0ms256×body80valid

simplify3.9s

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: 3.9b

localize10.0ms

Local error

Found 2 expressions with local error:

7.9b
(/ (* z z) y)
9.3b
(/ z (- (/ (* z z) y) (/ t 2.0)))

rewrite60.0ms

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:
11.0ms
(/ (* z z) y)
45.0ms
(/ z (- (/ (* z z) y) (/ t 2.0)))

series92.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(/ (* z z) y)
59.0ms
(/ z (- (/ (* z z) y) (/ t 2.0)))

simplify3.0s

Counts
77 → 77
Iterations

Useful iterations: done (3.0s)

IterNodesCost
01441181
12821147
27171079
319261079
done50001075

prune327.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (/ z y) (/ (/ t 2.0) z))
0.7b
(/ 1 (- (/ z y) (/ (/ t 2.0) z)))

rewrite210.0ms

Algorithm
rewrite-expression-head
Rules
123×add-sqr-sqrt
88×times-frac
48×*-un-lft-identity
30×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 frac-sub flip--
1×cbrt-undiv sub-neg rec-exp pow-flip frac-2neg diff-log 1-exp clear-num div-inv inv-pow
Counts
2 → 87
Calls
2 calls:
72.0ms
(- (/ z y) (/ (/ t 2.0) z))
131.0ms
(/ 1 (- (/ z y) (/ (/ t 2.0) z)))

series68.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(- (/ z y) (/ (/ t 2.0) z))
30.0ms
(/ 1 (- (/ z y) (/ (/ t 2.0) z)))

simplify3.4s

Counts
93 → 93
Iterations

Useful iterations: 4 (1.7s)

IterNodesCost
01431753
12671617
25061559
311871559
438961558
done50001558

prune307.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.7b
(/ 1 (- (/ z y) (/ (/ t 2.0) z)))
16.7b
(cbrt (/ 1 (- (/ z y) (/ (/ t 2.0) z))))
16.7b
(cbrt (/ 1 (- (/ z y) (/ (/ t 2.0) z))))
16.7b
(cbrt (/ 1 (- (/ z y) (/ (/ t 2.0) z))))

rewrite364.0ms

Algorithm
rewrite-expression-head
Rules
338×add-sqr-sqrt
275×times-frac
143×*-un-lft-identity
120×cbrt-prod
78×difference-of-squares
65×add-cube-cbrt
26×distribute-lft-out--
12×associate-/r/
11×associate-/r*
8×add-exp-log
6×add-cbrt-cube
5×pow1
4×flip3-- frac-sub flip-- div-inv add-log-exp
3×cbrt-div pow1/3 associate-/l*
2×div-exp
1×cbrt-undiv rec-exp pow-flip frac-2neg 1-exp clear-num inv-pow
Counts
4 → 213
Calls
4 calls:
127.0ms
(/ 1 (- (/ z y) (/ (/ t 2.0) z)))
70.0ms
(cbrt (/ 1 (- (/ z y) (/ (/ t 2.0) z))))
50.0ms
(cbrt (/ 1 (- (/ z y) (/ (/ t 2.0) z))))
82.0ms
(cbrt (/ 1 (- (/ z y) (/ (/ t 2.0) z))))

series866.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(/ 1 (- (/ z y) (/ (/ t 2.0) z)))
125.0ms
(cbrt (/ 1 (- (/ z y) (/ (/ t 2.0) z))))
547.0ms
(cbrt (/ 1 (- (/ z y) (/ (/ t 2.0) z))))
154.0ms
(cbrt (/ 1 (- (/ z y) (/ (/ t 2.0) z))))

simplify4.1s

Counts
225 → 225
Iterations

Useful iterations: 4 (2.7s)

IterNodesCost
02265367
13684875
26604760
315534739
447894708
done50004708

prune742.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize24.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ z (/ y z))
9.3b
(/ z (- (/ z (/ y z)) (/ t 2.0)))

rewrite174.0ms

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:
10.0ms
(/ z (/ y z))
155.0ms
(/ z (- (/ z (/ y z)) (/ t 2.0)))

series88.0ms

Counts
2 → 6
Calls
2 calls:
21.0ms
(/ z (/ y z))
66.0ms
(/ z (- (/ z (/ y z)) (/ t 2.0)))

simplify2.8s

Counts
138 → 138
Iterations

Useful iterations: done (2.7s)

IterNodesCost
02542208
15022098
216531940
done50001924

prune531.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

regimes89.0ms

Accuracy

16.9% (1.1b remaining)

Error of 1.1b against oracle of 0.0b and baseline of 1.3b

bsearch73.0ms

Steps
ItersRangePoint
9
5.722128377857224e-65
3.221731699033729e-59
3.1845660531885534e-59

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02136
12536
done2536

end0.0ms

sample1.4s

Algorithm
intervals
Results
960.0ms8000×body80valid