Details

Time bar (total: 34.3s)

sample44.0ms

Algorithm
intervals
Results
24.0ms358×body80valid

simplify169.0ms

Counts
1 → 1
Iterations
IterNodes
done116
6116
5112
499
366
231
112
06

prune41.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize35.0ms

Local error

Found 1 expressions with local error:

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

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
18×prod-diff
16×add-sqr-sqrt *-un-lft-identity
14×add-cube-cbrt
11×distribute-rgt-in distribute-lft-in
6×pow1 add-exp-log add-cbrt-cube
5×associate-*r*
3×pow-prod-down prod-exp cbrt-unprod
2×sub-neg associate-*r/
1×expm1-log1p-u flip3-- associate-*l* *-commutative flip-- log1p-expm1-u distribute-lft-out-- add-log-exp difference-of-squares
Counts
1 → 46
Calls
1 calls:
77.0ms
(* (* x y) (- 1.0 y))

series101.0ms

Counts
1 → 3
Calls
1 calls:
101.0ms
(* (* x y) (- 1.0 y))

simplify6.6s

Counts
49 → 49
Iterations
IterNodes
done5000
33379
2864
1335
0110

prune575.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize118.0ms

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))

rewrite597.0ms

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×expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u 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 → 109
Calls
4 calls:
505.0ms
(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))
10.0ms
(cbrt (- 1.0 y))
9.0ms
(cbrt (- 1.0 y))
16.0ms
(cbrt (- 1.0 y))

series1.5s

Counts
4 → 12
Calls
4 calls:
201.0ms
(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))
158.0ms
(cbrt (- 1.0 y))
421.0ms
(cbrt (- 1.0 y))
739.0ms
(cbrt (- 1.0 y))

simplify4.5s

Counts
121 → 121
Iterations
IterNodes
done5002
32200
2861
1353
0152

prune1.8s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 2 expressions with local error:

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

rewrite146.0ms

Algorithm
rewrite-expression-head
Rules
55×distribute-rgt-in distribute-lft-in
54×prod-diff
45×add-sqr-sqrt
43×*-un-lft-identity
41×add-cube-cbrt
9×pow1 add-exp-log add-cbrt-cube
6×sub-neg associate-*r/ associate-*r* associate-*l*
4×pow-prod-down prod-exp cbrt-unprod
2×expm1-log1p-u flip3-- *-commutative flip-- log1p-expm1-u add-log-exp
1×distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 112
Calls
2 calls:
54.0ms
(* y (- 1.0 y))
79.0ms
(* x (* y (- 1.0 y)))

series190.0ms

Counts
2 → 6
Calls
2 calls:
104.0ms
(* y (- 1.0 y))
85.0ms
(* x (* y (- 1.0 y)))

simplify8.0s

Counts
118 → 118
Iterations
IterNodes
done5000
34574
2997
1461
0182

prune442.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize42.0ms

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)))

rewrite326.0ms

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×expm1-log1p-u log1p-expm1-u add-log-exp
2×pow1/3 associate-*l* *-commutative distribute-lft-out-- difference-of-squares
Counts
4 → 119
Calls
4 calls:
61.0ms
(* (* x y) (cbrt (* (- 1.0 y) (- 1.0 y))))
221.0ms
(* (* (* 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)))

series922.0ms

Counts
4 → 12
Calls
4 calls:
456.0ms
(* (* x y) (cbrt (* (- 1.0 y) (- 1.0 y))))
88.0ms
(* (* (* x y) (cbrt (* (- 1.0 y) (- 1.0 y)))) (cbrt (- 1.0 y)))
170.0ms
(cbrt (- 1.0 y))
208.0ms
(cbrt (* (- 1.0 y) (- 1.0 y)))

simplify4.6s

Counts
131 → 131
Iterations
IterNodes
done5002
22193
1710
0265

prune1.6s

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0.0b

regimes307.0ms

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

sample1.5s

Algorithm
intervals
Results
489.0ms10661×body80valid