Details

Time bar (total: 23.6s)

sample56.0ms

Algorithm
intervals
Results
26.0ms334×body80valid

simplify4.5s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1149
2319
3579
4959
51309
61619
71869
83989
910549
1049929
done50009

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.8b

localize21.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* (/ x y) (- z t)) t)
7.8b
(* (/ x y) (- z t))

rewrite92.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*l*
12×*-un-lft-identity
10×add-cube-cbrt times-frac
7×add-exp-log add-cbrt-cube
5×associate-*r*
4×pow1 distribute-rgt-in sub-neg associate-+l+ distribute-lft-in add-log-exp
2×frac-times flip3-- associate-*r/ prod-exp flip-- cbrt-unprod unswap-sqr
1×cbrt-undiv +-commutative flip3-+ div-exp pow-prod-down associate-*l/ sum-log *-commutative flip-+ div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 57
Calls
2 calls:
28.0ms
(+ (* (/ x y) (- z t)) t)
60.0ms
(* (/ x y) (- z t))

series164.0ms

Counts
2 → 6
Calls
2 calls:
66.0ms
(+ (* (/ x y) (- z t)) t)
98.0ms
(* (/ x y) (- z t))

simplify1.2s

Counts
63 → 63
Iterations

Useful iterations: done (1.2s)

IterNodesCost
0120727
1322701
21412649
done5001643

prune413.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize63.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
1.4b
(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) (- z t)))

rewrite173.0ms

Algorithm
rewrite-expression-head
Rules
73×add-exp-log
39×add-cbrt-cube
37×prod-exp cbrt-unprod
17×cbrt-undiv div-exp
9×pow1 cbrt-prod frac-times associate-*r/
8×distribute-rgt-in add-sqr-sqrt add-cube-cbrt *-un-lft-identity distribute-lft-in
5×associate-*l*
4×sub-neg flip3-- flip-- add-log-exp
3×pow1/3 pow-prod-down associate-*l/
1×times-frac associate-*r* *-commutative div-inv
Counts
4 → 98
Calls
4 calls:
2.0ms
(cbrt x)
1.0ms
(cbrt x)
2.0ms
(cbrt x)
160.0ms
(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) (- z t)))

series1.2s

Counts
4 → 12
Calls
4 calls:
383.0ms
(cbrt x)
335.0ms
(cbrt x)
323.0ms
(cbrt x)
113.0ms
(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) (- z t)))

simplify3.2s

Counts
110 → 110
Iterations

Useful iterations: done (3.2s)

IterNodesCost
01682312
16222242
236351256
done5000845

prune621.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize62.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
3.5b
(* (* (cbrt x) (cbrt x)) (/ (* (- z t) (/ (cbrt x) (cbrt y))) (* (cbrt y) (cbrt y))))

rewrite161.0ms

Algorithm
rewrite-expression-head
Rules
69×add-exp-log
35×prod-exp add-cbrt-cube cbrt-unprod
16×cbrt-undiv div-exp
9×pow1 cbrt-prod add-sqr-sqrt
8×add-cube-cbrt *-un-lft-identity
5×associate-*r*
4×add-log-exp
3×pow1/3 pow-prod-down
1×times-frac associate-*r/ associate-*l* *-commutative div-inv unswap-sqr
Counts
4 → 79
Calls
4 calls:
2.0ms
(cbrt x)
1.0ms
(cbrt x)
2.0ms
(cbrt x)
149.0ms
(* (* (cbrt x) (cbrt x)) (/ (* (- z t) (/ (cbrt x) (cbrt y))) (* (cbrt y) (cbrt y))))

series1.1s

Counts
4 → 12
Calls
4 calls:
341.0ms
(cbrt x)
357.0ms
(cbrt x)
345.0ms
(cbrt x)
94.0ms
(* (* (cbrt x) (cbrt x)) (/ (* (- z t) (/ (cbrt x) (cbrt y))) (* (cbrt y) (cbrt y))))

simplify2.9s

Counts
91 → 91
Iterations

Useful iterations: done (2.9s)

IterNodesCost
01261687
14481622
22948978
done5001819

prune1.0s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
2.9b
(* (/ x (cbrt y)) (- z t))
3.9b
(/ (* (/ x (cbrt y)) (- z t)) (* (cbrt y) (cbrt y)))

rewrite122.0ms

Algorithm
rewrite-expression-head
Rules
30×add-exp-log add-sqr-sqrt
22×*-un-lft-identity associate-*l*
21×times-frac add-cbrt-cube
20×add-cube-cbrt
16×cbrt-prod
9×cbrt-undiv div-exp prod-exp cbrt-unprod
6×pow1
5×associate-*r* associate-/l/
4×frac-times flip3-- associate-*r/ flip-- add-log-exp
3×unswap-sqr
2×distribute-rgt-in sub-neg distribute-lft-in pow1/3 associate-*l/ div-inv
1×frac-2neg pow-prod-down clear-num associate-/r* *-commutative associate-/l* distribute-lft-out-- difference-of-squares
Counts
4 → 104
Calls
4 calls:
2.0ms
(cbrt y)
2.0ms
(cbrt y)
57.0ms
(* (/ x (cbrt y)) (- z t))
55.0ms
(/ (* (/ x (cbrt y)) (- z t)) (* (cbrt y) (cbrt y)))

series1.2s

Counts
4 → 12
Calls
4 calls:
336.0ms
(cbrt y)
349.0ms
(cbrt y)
349.0ms
(* (/ x (cbrt y)) (- z t))
177.0ms
(/ (* (/ x (cbrt y)) (- z t)) (* (cbrt y) (cbrt y)))

simplify2.1s

Counts
116 → 116
Iterations

Useful iterations: done (2.1s)

IterNodesCost
01721400
15231350
229351070
done5000983

prune765.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes824.0ms

Accuracy

49.9% (1.0b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 2.0b

bsearch2.0ms

simplify13.0ms

Iterations

Useful iterations: done (12.0ms)

IterNodesCost
02362
13150
23442
33742
done3741

end0.0ms

sample1.6s

Algorithm
intervals
Results
738.0ms10635×body80valid