Details

Time bar (total: 36.3s)

sample39.0ms

Algorithm
intervals
Results
17.0ms358×body80valid

simplify363.0ms

Counts
1 → 1
Iterations
IterNodes
done86
586
479
362
231
112
06

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 1 expressions with local error:

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

rewrite115.0ms

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:
113.0ms
(* (* x y) (- 1.0 y))

series96.0ms

Counts
1 → 3
Calls
1 calls:
96.0ms
(* (* x y) (- 1.0 y))

simplify7.8s

Counts
29 → 29
Iterations
IterNodes
done5002
32860
2569
1174
060

prune322.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize50.0ms

Local error

Found 4 expressions with local error:

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

rewrite119.0ms

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:
85.0ms
(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))
8.0ms
(cbrt (- 1.0 y))
9.0ms
(cbrt (- 1.0 y))
9.0ms
(cbrt (- 1.0 y))

series1.0s

Counts
4 → 12
Calls
4 calls:
328.0ms
(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))
168.0ms
(cbrt (- 1.0 y))
164.0ms
(cbrt (- 1.0 y))
346.0ms
(cbrt (- 1.0 y))

simplify4.4s

Counts
113 → 113
Iterations
IterNodes
done5001
32009
2811
1340
0148

prune1.3s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 2 expressions with local error:

0.0b
(* y (- 1.0 y))
5.2b
(* x (* y (- 1.0 y)))

rewrite121.0ms

Algorithm
rewrite-expression-head
Rules
10×distribute-rgt-in distribute-lft-in
9×pow1 add-exp-log add-sqr-sqrt add-cbrt-cube
7×*-un-lft-identity
6×sub-neg associate-*r/ associate-*r* associate-*l*
5×add-cube-cbrt
4×pow-prod-down prod-exp cbrt-unprod
2×flip3-- *-commutative flip-- add-log-exp
1×distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 54
Calls
2 calls:
43.0ms
(* y (- 1.0 y))
68.0ms
(* x (* y (- 1.0 y)))

series183.0ms

Counts
2 → 6
Calls
2 calls:
91.0ms
(* y (- 1.0 y))
92.0ms
(* x (* y (- 1.0 y)))

simplify7.5s

Counts
60 → 60
Iterations
IterNodes
done5003
33336
2662
1214
084

prune352.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize48.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* x y) (cbrt (* (- 1.0 y) (- 1.0 y))))
0.1b
(* (* (* x y) (cbrt (* (- 1.0 y) (- 1.0 y)))) (cbrt (- 1.0 y)))
0.2b
(cbrt (- 1.0 y))
5.4b
(cbrt (* (- 1.0 y) (- 1.0 y)))

rewrite320.0ms

Algorithm
rewrite-expression-head
Rules
60×cbrt-div
44×associate-*r/
40×flip3-- flip--
36×frac-times
18×pow1 add-exp-log associate-*l/
12×cbrt-prod add-sqr-sqrt *-un-lft-identity associate-*r*
11×add-cbrt-cube
9×pow-prod-down prod-exp cbrt-unprod
8×add-cube-cbrt
4×add-log-exp
2×pow1/3 associate-*l* *-commutative distribute-lft-out-- difference-of-squares
Counts
4 → 111
Calls
4 calls:
61.0ms
(* (* x y) (cbrt (* (- 1.0 y) (- 1.0 y))))
215.0ms
(* (* (* x y) (cbrt (* (- 1.0 y) (- 1.0 y)))) (cbrt (- 1.0 y)))
8.0ms
(cbrt (- 1.0 y))
24.0ms
(cbrt (* (- 1.0 y) (- 1.0 y)))

series1.4s

Counts
4 → 12
Calls
4 calls:
948.0ms
(* (* x y) (cbrt (* (- 1.0 y) (- 1.0 y))))
84.0ms
(* (* (* x y) (cbrt (* (- 1.0 y) (- 1.0 y)))) (cbrt (- 1.0 y)))
164.0ms
(cbrt (- 1.0 y))
190.0ms
(cbrt (* (- 1.0 y) (- 1.0 y)))

simplify6.8s

Counts
123 → 123
Iterations
IterNodes
done5001
22072
1688
0257

prune1.3s

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0.0b

regimes293.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done8
18
06

end0.0ms

sample2.3s

Algorithm
intervals
Results
1.8s10661×body80valid