Details

Time bar (total: 19.7s)

sample14.0ms

Algorithm
intervals
Results
5.0ms356×body80valid

simplify4.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
045
185
295
done95

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize4.0ms

Local error

Found 1 expressions with local error:

0.2b
(* (* x y) y)

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-cbrt-cube
associate-*r* pow-prod-down prod-exp cbrt-unprod
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
expm1-log1p-u associate-*l* *-commutative log1p-expm1-u add-log-exp
Counts
1 → 20
Calls
1 calls:
7.0ms
(* (* x y) y)

series34.0ms

Counts
1 → 3
Calls
1 calls:
34.0ms
(* (* x y) y)

simplify6.2s

Counts
23 → 23
Iterations

Useful iterations: 4 (3.5s)

IterNodesCost
038169
197164
2379134
31249134
43560133
done5000133

prune55.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt y) (cbrt y))
0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
pow1/3
add-exp-log swap-sqr associate-*r* associate-*l*
expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
pow-prod-down pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
6.0ms
(* (cbrt y) (cbrt y))
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series859.0ms

Counts
4 → 12
Calls
4 calls:
234.0ms
(* (cbrt y) (cbrt y))
215.0ms
(cbrt y)
202.0ms
(cbrt y)
207.0ms
(cbrt y)

simplify4.1s

Counts
93 → 93
Iterations

Useful iterations: 4 (2.1s)

IterNodesCost
065554
1119495
2322423
31163405
43785400
done5000400

prune252.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt (cbrt y))
0.6b
(cbrt (cbrt y))
0.6b
(cbrt (cbrt y))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
30×cbrt-prod
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
Counts
4 → 61
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt (cbrt y))
1.0ms
(cbrt (cbrt y))
1.0ms
(cbrt (cbrt y))

series1.3s

Counts
4 → 12
Calls
4 calls:
206.0ms
(cbrt y)
540.0ms
(cbrt (cbrt y))
284.0ms
(cbrt (cbrt y))
284.0ms
(cbrt (cbrt y))

simplify2.5s

Counts
73 → 73
Iterations

Useful iterations: 3 (58.0ms)

IterNodesCost
046419
179403
2151373
3303361
4863361
53549361
done5001361

prune276.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (cbrt y))
0.6b
(cbrt (cbrt y))
0.6b
(cbrt (cbrt y))
0.6b
(cbrt (cbrt y))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
Counts
4 → 64
Calls
4 calls:
1.0ms
(cbrt (cbrt y))
1.0ms
(cbrt (cbrt y))
1.0ms
(cbrt (cbrt y))
1.0ms
(cbrt (cbrt y))

series1.1s

Counts
4 → 12
Calls
4 calls:
284.0ms
(cbrt (cbrt y))
282.0ms
(cbrt (cbrt y))
282.0ms
(cbrt (cbrt y))
278.0ms
(cbrt (cbrt y))

simplify2.1s

Counts
76 → 76
Iterations

Useful iterations: 3 (41.0ms)

IterNodesCost
036464
158448
293424
3175412
4457412
51774412
done5000412

prune339.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

regimes151.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045
165
done65

end0.0ms

sample331.0ms

Algorithm
intervals
Results
170.0ms10676×body80valid