Details

Time bar (total: 20.4s)

sample27.0ms

Algorithm
intervals
Results
10.0ms348×body80valid

simplify7.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045
185
295
done95

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 1 expressions with local error:

0.1b
(* (* x y) y)

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-exp-log add-cbrt-cube
3×associate-*r* pow-prod-down prod-exp cbrt-unprod
2×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
1×expm1-log1p-u associate-*l* *-commutative log1p-expm1-u add-log-exp
Counts
1 → 20
Calls
1 calls:
34.0ms
(* (* x y) y)

series53.0ms

Counts
1 → 3
Calls
1 calls:
53.0ms
(* (* x y) y)

simplify4.8s

Counts
23 → 23
Iterations

Useful iterations: 4 (1.4s)

IterNodesCost
038169
195164
2337134
3653134
4945133
52719133
done5000133

prune89.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

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)

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
23.0ms
(* (cbrt y) (cbrt y))
2.0ms
(cbrt y)
2.0ms
(cbrt y)
2.0ms
(cbrt y)

series1.2s

Counts
4 → 12
Calls
4 calls:
337.0ms
(* (cbrt y) (cbrt y))
223.0ms
(cbrt y)
315.0ms
(cbrt y)
343.0ms
(cbrt y)

simplify5.1s

Counts
93 → 93
Iterations

Useful iterations: done (5.1s)

IterNodesCost
065554
1119443
2327423
31104405
44523400
done5001390

prune234.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

10.9b
(* x (pow y 2))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
8×associate-*r*
6×add-exp-log
4×add-cube-cbrt unpow-prod-down *-un-lft-identity unswap-sqr
3×associate-*l* prod-exp add-cbrt-cube
2×unpow2 sqr-pow
1×pow1 expm1-log1p-u pow-to-exp pow-exp *-commutative cbrt-unprod log1p-expm1-u add-log-exp
Counts
1 → 29
Calls
1 calls:
15.0ms
(* x (pow y 2))

series32.0ms

Counts
1 → 3
Calls
1 calls:
32.0ms
(* x (pow y 2))

simplify3.2s

Counts
32 → 32
Iterations

Useful iterations: 4 (1.3s)

IterNodesCost
053244
1109221
2237188
3672188
43356185
done5001185

prune75.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* x y) y)
0.2b
(* (sqrt (* (* x y) y)) (sqrt (* (* x y) y)))
14.8b
(sqrt (* (* x y) y))
14.8b
(sqrt (* (* x y) y))

rewrite238.0ms

Algorithm
rewrite-expression-head
Rules
148×pow1
80×pow-prod-down
66×sqrt-pow1
17×pow-prod-up
14×pow1/2
11×add-exp-log add-sqr-sqrt pow-sqr add-cbrt-cube
9×add-cube-cbrt *-un-lft-identity
7×associate-*r*
6×sqrt-prod
5×associate-*l*
4×expm1-log1p-u swap-sqr prod-exp cbrt-unprod log1p-expm1-u add-log-exp
2×*-commutative
1×pow2 pow-plus sqrt-unprod rem-square-sqrt unswap-sqr
Counts
4 → 116
Calls
4 calls:
33.0ms
(* (* x y) y)
155.0ms
(* (sqrt (* (* x y) y)) (sqrt (* (* x y) y)))
26.0ms
(sqrt (* (* x y) y))
14.0ms
(sqrt (* (* x y) y))

series317.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(* (* x y) y)
96.0ms
(* (sqrt (* (* x y) y)) (sqrt (* (* x y) y)))
89.0ms
(sqrt (* (* x y) y))
96.0ms
(sqrt (* (* x y) y))

simplify3.6s

Counts
128 → 128
Iterations

Useful iterations: done (3.6s)

IterNodesCost
01061220
1239850
2815740
32935688
done5000676

prune319.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes104.0ms

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

sample736.0ms

Algorithm
intervals
Results
382.0ms10714×body80valid