Details

Time bar (total: 3.9s)

sample15.0ms

Algorithm
intervals
Results
6.0ms347×body80valid

simplify10.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0123
1323
2703
3903
4973
5973
done973

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 1 expressions with local error:

0.1b
(* (* x y) (- 1.0 y))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-exp-log add-cbrt-cube
5×associate-*r*
4×add-sqr-sqrt *-un-lft-identity
3×pow-prod-down prod-exp cbrt-unprod
2×distribute-rgt-in add-cube-cbrt sub-neg distribute-lft-in associate-*r/
1×flip3-- associate-*l* *-commutative flip-- distribute-lft-out-- add-log-exp difference-of-squares
Counts
1 → 26
Calls
1 calls:
26.0ms
(* (* x y) (- 1.0 y))

series49.0ms

Counts
1 → 3
Calls
1 calls:
49.0ms
(* (* x y) (- 1.0 y))

simplify29.0ms

Counts
29 → 29
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0167140
1840114
25002114
done5002114

prune42.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (- 1.0 y))
0.2b
(cbrt (- 1.0 y))
0.2b
(cbrt (- 1.0 y))
0.2b
(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
43×cbrt-prod
37×add-sqr-sqrt
35×*-un-lft-identity
18×cbrt-div
15×add-cube-cbrt
11×pow1
10×swap-sqr
9×flip3-- pow1/3 flip-- distribute-lft-out--
8×associate-*r* associate-*l*
7×difference-of-squares
6×add-exp-log
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 101
Calls
4 calls:
4.0ms
(cbrt (- 1.0 y))
4.0ms
(cbrt (- 1.0 y))
4.0ms
(cbrt (- 1.0 y))
38.0ms
(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))

series381.0ms

Counts
4 → 12
Calls
4 calls:
91.0ms
(cbrt (- 1.0 y))
92.0ms
(cbrt (- 1.0 y))
91.0ms
(cbrt (- 1.0 y))
106.0ms
(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))

simplify140.0ms

Counts
113 → 113
Iterations

Useful iterations: 3 (132.0ms)

IterNodesCost
0316847
11010807
24442753
35001749
done5001749

prune295.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (- 1.0 y))
0.2b
(cbrt (- 1.0 y))
0.2b
(* (cbrt (cbrt (- 1.0 y))) (cbrt (cbrt (- 1.0 y))))
0.2b
(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))

rewrite243.0ms

Algorithm
rewrite-expression-head
Rules
116×cbrt-prod
72×add-sqr-sqrt
58×*-un-lft-identity
40×cbrt-div
26×add-cube-cbrt
23×swap-sqr
19×associate-*r* associate-*l*
18×pow1
14×flip3-- pow1/3 flip-- distribute-lft-out--
13×unswap-sqr
10×difference-of-squares
8×add-exp-log frac-times
4×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up add-cbrt-cube add-log-exp
2×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 156
Calls
4 calls:
4.0ms
(cbrt (- 1.0 y))
4.0ms
(cbrt (- 1.0 y))
193.0ms
(* (cbrt (cbrt (- 1.0 y))) (cbrt (cbrt (- 1.0 y))))
35.0ms
(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))

series399.0ms

Counts
4 → 12
Calls
4 calls:
93.0ms
(cbrt (- 1.0 y))
90.0ms
(cbrt (- 1.0 y))
107.0ms
(* (cbrt (cbrt (- 1.0 y))) (cbrt (cbrt (- 1.0 y))))
108.0ms
(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))

simplify59.0ms

Counts
168 → 168
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
04891504
116541440
250011308
done50011308

prune476.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y))))
0.2b
(cbrt (cbrt (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))))
0.2b
(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))
0.2b
(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))

rewrite102.0ms

Algorithm
rewrite-expression-head
Rules
72×cbrt-div
62×cbrt-prod
53×add-sqr-sqrt
49×*-un-lft-identity
24×flip3-- flip--
21×add-cube-cbrt
20×swap-sqr
18×pow1
16×frac-times associate-*r* associate-*l*
14×pow1/3
12×distribute-lft-out--
8×add-exp-log associate-*r/ associate-*l/ difference-of-squares unswap-sqr
4×pow-prod-down pow-sqr pow-prod-up add-cbrt-cube add-log-exp
2×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 149
Calls
4 calls:
13.0ms
(cbrt (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y))))
7.0ms
(cbrt (cbrt (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))))
35.0ms
(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))
39.0ms
(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))

series433.0ms

Counts
4 → 12
Calls
4 calls:
107.0ms
(cbrt (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y))))
113.0ms
(cbrt (cbrt (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))))
105.0ms
(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))
108.0ms
(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))

simplify53.0ms

Counts
161 → 161
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
04531492
114141420
250011335
done50011335

prune555.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes84.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
083
183
done83

end0.0ms

sample387.0ms

Algorithm
intervals
Results
178.0ms10634×body80valid