Details

Time bar (total: 20.0s)

sample32.0ms

Algorithm
intervals
Results
15.0ms333×body80valid

simplify1.7s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08164
114164
225164
345164
488164
5144164
6200164
7384164
8915164
93129164
done5000164

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.5b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(* y (- z x))
0.0b
(+ x (/ (* y (- z x)) t))
5.7b
(/ (* y (- z x)) t)

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt *-un-lft-identity
10×add-cbrt-cube add-exp-log
add-cube-cbrt
pow1 associate-*r* add-log-exp
associate-*r/
associate-/r* times-frac associate-*l*
distribute-rgt-in cbrt-undiv sub-neg distribute-lft-in flip3-- div-exp prod-exp cbrt-unprod flip-- associate-/l/
+-commutative clear-num sum-log frac-2neg flip3-+ pow-prod-down *-commutative flip-+ div-inv distribute-lft-out associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 61
Calls
3 calls:
16.0ms
(* y (- z x))
10.0ms
(+ x (/ (* y (- z x)) t))
12.0ms
(/ (* y (- z x)) t)

series132.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(* y (- z x))
42.0ms
(+ x (/ (* y (- z x)) t))
51.0ms
(/ (* y (- z x)) t)

simplify1.3s

Counts
70 → 70
Iterations

Useful iterations: done (1.3s)

IterNodesCost
011313747
130912511
2116412431
done500011711

prune378.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
0.6b
(cbrt t)
3.4b
(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t)))

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
54×add-sqr-sqrt
40×times-frac
38×*-un-lft-identity
34×associate-*r*
26×cbrt-prod add-cube-cbrt
25×add-exp-log
18×add-cbrt-cube
prod-exp cbrt-unprod
cbrt-undiv div-exp associate-*l*
pow1 distribute-lft-out-- difference-of-squares unswap-sqr
add-log-exp
pow1/3
div-inv
frac-times pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
4 → 104
Calls
4 calls:
1.0ms
(cbrt t)
1.0ms
(cbrt t)
1.0ms
(cbrt t)
51.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t)))

series971.0ms

Counts
4 → 12
Calls
4 calls:
275.0ms
(cbrt t)
283.0ms
(cbrt t)
282.0ms
(cbrt t)
131.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t)))

simplify2.5s

Counts
116 → 116
Iterations

Useful iterations: done (2.5s)

IterNodesCost
016137522
151634523
2351034039
done500029999

prune642.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0b

localize87.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
0.8b
(* (/ (cbrt y) (cbrt t)) (/ (- z x) (cbrt t)))

rewrite98.0ms

Algorithm
rewrite-expression-head
Rules
113×add-sqr-sqrt
88×times-frac
77×cbrt-prod
61×*-un-lft-identity
49×add-cube-cbrt
40×associate-*l*
34×associate-*r*
16×add-exp-log
15×unswap-sqr
10×add-cbrt-cube
pow1 distribute-lft-out-- difference-of-squares
cbrt-undiv div-exp prod-exp cbrt-unprod add-log-exp
pow1/3
div-inv
frac-times pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
4 → 142
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)
91.0ms
(* (/ (cbrt y) (cbrt t)) (/ (- z x) (cbrt t)))

series1.3s

Counts
4 → 12
Calls
4 calls:
302.0ms
(cbrt y)
299.0ms
(cbrt y)
312.0ms
(cbrt y)
349.0ms
(* (/ (cbrt y) (cbrt t)) (/ (- z x) (cbrt t)))

simplify3.0s

Counts
154 → 154
Iterations

Useful iterations: done (3.0s)

IterNodesCost
021562698
163859968
2318059484
done500058924

prune1.3s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
0.6b
(cbrt t)
3.4b
(* (/ (/ y (cbrt t)) (cbrt t)) (/ (- z x) (cbrt t)))

rewrite151.0ms

Algorithm
rewrite-expression-head
Rules
314×times-frac
245×add-sqr-sqrt
166×cbrt-prod
159×*-un-lft-identity
147×add-cube-cbrt
136×associate-*l*
34×associate-*r*
25×add-exp-log
21×unswap-sqr
16×add-cbrt-cube
cbrt-undiv div-exp
div-inv
pow1 prod-exp cbrt-unprod distribute-lft-out-- difference-of-squares
add-log-exp
pow1/3
frac-times pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
4 → 248
Calls
4 calls:
1.0ms
(cbrt t)
1.0ms
(cbrt t)
1.0ms
(cbrt t)
133.0ms
(* (/ (/ y (cbrt t)) (cbrt t)) (/ (- z x) (cbrt t)))

series976.0ms

Counts
4 → 12
Calls
4 calls:
262.0ms
(cbrt t)
325.0ms
(cbrt t)
281.0ms
(cbrt t)
108.0ms
(* (/ (/ y (cbrt t)) (cbrt t)) (/ (- z x) (cbrt t)))

simplify1.4s

Counts
260 → 260
Iterations

Useful iterations: done (1.3s)

IterNodesCost
0302105769
11015102840
done5000101030

prune2.0s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

regimes597.0ms

Accuracy

0% (2.7b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
014484
116484
done16484

end0.0ms

sample1.4s

Algorithm
intervals
Results
924.0ms10676×body80valid