Details

Time bar (total: 8.1s)

sample20.0ms

Algorithm
intervals
Results
10.0ms277×body80valid

simplify107.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
01011
1199
2449
3819
41259
51659
61949
72059
done2059

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.2b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* z (- y t))
6.1b
(/ (* x 2.0) (* z (- y t)))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
16×add-exp-log add-cbrt-cube
8×add-sqr-sqrt
6×*-un-lft-identity
5×associate-*r* prod-exp cbrt-unprod
4×pow1 cbrt-undiv add-cube-cbrt associate-*r/ div-exp
3×associate-*l*
2×distribute-rgt-in sub-neg flip3-- distribute-lft-in associate-/r/ flip-- add-log-exp
1×frac-2neg times-frac pow-prod-down clear-num associate-/r* *-commutative div-inv associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 49
Calls
2 calls:
10.0ms
(* z (- y t))
7.0ms
(/ (* x 2.0) (* z (- y t)))

series82.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(* z (- y t))
48.0ms
(/ (* x 2.0) (* z (- y t)))

simplify449.0ms

Counts
55 → 55
Iterations

Useful iterations: 2 (87.0ms)

IterNodesCost
093556
1250543
21220427
done5001427

prune107.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
16×add-exp-log add-cbrt-cube
14×*-un-lft-identity
13×times-frac associate-*r*
12×add-cube-cbrt
5×cbrt-undiv div-exp associate-*l* associate-/r/
4×pow1 frac-times flip3-- associate-*l/ prod-exp flip-- cbrt-unprod
3×associate-/l*
2×associate-*r/ div-inv add-log-exp unswap-sqr
1×frac-2neg pow-prod-down clear-num associate-/r* *-commutative distribute-lft-out-- difference-of-squares
Counts
2 → 66
Calls
2 calls:
15.0ms
(* (- y t) (/ z 2.0))
7.0ms
(/ x (* (- y t) (/ z 2.0)))

series111.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(* (- y t) (/ z 2.0))
74.0ms
(/ x (* (- y t) (/ z 2.0)))

simplify571.0ms

Counts
72 → 72
Iterations

Useful iterations: 2 (101.0ms)

IterNodesCost
0137819
1341790
21333672
done5000672

prune160.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt x)
0.5b
(cbrt x)
0.5b
(cbrt x)
4.9b
(* (/ (* (cbrt x) (cbrt x)) (- y t)) (/ (cbrt x) (/ z 2.0)))

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
154×times-frac
112×add-sqr-sqrt
83×associate-*r*
80×*-un-lft-identity
78×add-cube-cbrt
52×cbrt-prod
40×add-exp-log
28×add-cbrt-cube
15×cbrt-undiv div-exp
12×prod-exp cbrt-unprod
11×associate-*l*
10×unswap-sqr
8×div-inv
6×pow1
4×add-log-exp
3×pow1/3 associate-/r/
1×frac-times flip3-- associate-*r/ pow-prod-down associate-*l/ *-commutative flip-- distribute-lft-out-- difference-of-squares
Counts
4 → 167
Calls
4 calls:
0.0ms
(cbrt x)
0.0ms
(cbrt x)
1.0ms
(cbrt x)
58.0ms
(* (/ (* (cbrt x) (cbrt x)) (- y t)) (/ (cbrt x) (/ z 2.0)))

series626.0ms

Counts
4 → 12
Calls
4 calls:
173.0ms
(cbrt x)
177.0ms
(cbrt x)
174.0ms
(cbrt x)
101.0ms
(* (/ (* (cbrt x) (cbrt x)) (- y t)) (/ (cbrt x) (/ z 2.0)))

simplify1.6s

Counts
179 → 179
Iterations

Useful iterations: 2 (522.0ms)

IterNodesCost
03133137
110182945
244222357
done50002357

prune517.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt x)
0.5b
(cbrt (pow (cbrt x) 3))
0.7b
(pow (cbrt x) 3)
4.9b
(* (/ (* (cbrt x) (cbrt x)) (- y t)) (/ (cbrt (pow (cbrt x) 3)) (/ z 2.0)))

rewrite177.0ms

Algorithm
rewrite-expression-head
Rules
524×times-frac
377×cbrt-prod
343×add-sqr-sqrt
278×associate-*r*
245×*-un-lft-identity
243×add-cube-cbrt
98×unpow-prod-down cube-prod
41×add-exp-log
30×unswap-sqr
28×add-cbrt-cube
23×div-inv
19×sqr-pow
15×cbrt-undiv cube-mult unpow3 div-exp
12×prod-exp cbrt-unprod
11×associate-*l*
7×pow1
4×add-log-exp
3×pow-unpow pow1/3 associate-/r/
2×pow-pow
1×frac-times pow-to-exp flip3-- associate-*r/ pow-prod-down associate-*l/ pow-exp *-commutative flip-- rem-cbrt-cube distribute-lft-out-- rem-cube-cbrt difference-of-squares
Counts
4 → 417
Calls
4 calls:
0.0ms
(cbrt x)
2.0ms
(cbrt (pow (cbrt x) 3))
2.0ms
(pow (cbrt x) 3)
139.0ms
(* (/ (* (cbrt x) (cbrt x)) (- y t)) (/ (cbrt (pow (cbrt x) 3)) (/ z 2.0)))

series676.0ms

Counts
4 → 12
Calls
4 calls:
179.0ms
(cbrt x)
180.0ms
(cbrt (pow (cbrt x) 3))
213.0ms
(pow (cbrt x) 3)
104.0ms
(* (/ (* (cbrt x) (cbrt x)) (- y t)) (/ (cbrt (pow (cbrt x) 3)) (/ z 2.0)))

simplify1.2s

Counts
429 → 429
Iterations

Useful iterations: done (1.2s)

IterNodesCost
06049309
119987206
done50007143

prune810.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes169.0ms

Accuracy

45.2% (2.7b remaining)

Error of 2.7b against oracle of 0.0b and baseline of 4.9b

bsearch64.0ms

Steps
ItersRangePoint
9
5.073148275473809e-159
3.5480336755382726e-154
3.501200984228306e-154
7
-3.2044824261361356e-57
-1.8753900531125599e-59
-1.6653143676812737e-57

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
01735
12127
done2127

end0.0ms

sample476.0ms

Algorithm
intervals
Results
256.0ms8741×body80valid