Details

Time bar (total: 8.8s)

sample14.0ms

Algorithm
intervals
Results
6.0ms362×body80valid

simplify22.0ms

Counts
1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize7.0ms

Local error

Found 1 expressions with local error:

0.2b
(* (* x 3.0) x)

rewrite36.0ms

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×associate-*l* *-commutative add-log-exp
Counts
1 → 18
Calls
1 calls:
36.0ms
(* (* x 3.0) x)

series28.0ms

Counts
1 → 3
Calls
1 calls:
27.0ms
(* (* x 3.0) x)

simplify731.0ms

Counts
21 → 21

prune39.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* x 3.0) x)
0.3b
(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
20.5b
(sqrt (* (* x 3.0) x))
20.5b
(sqrt (* (* x 3.0) x))

rewrite251.0ms

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×swap-sqr prod-exp cbrt-unprod add-log-exp
2×*-commutative
1×pow2 pow-plus sqrt-unprod rem-square-sqrt unswap-sqr
Counts
4 → 108
Calls
4 calls:
26.0ms
(* (* x 3.0) x)
165.0ms
(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
28.0ms
(sqrt (* (* x 3.0) x))
23.0ms
(sqrt (* (* x 3.0) x))

series245.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(* (* x 3.0) x)
93.0ms
(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
49.0ms
(sqrt (* (* x 3.0) x))
56.0ms
(sqrt (* (* x 3.0) x))

simplify802.0ms

Counts
120 → 120

prune272.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
20.5b
(sqrt (* (* (* x 3.0) (* (cbrt x) (cbrt x))) (cbrt x)))
20.5b
(sqrt (* (* x 3.0) x))

rewrite149.0ms

Algorithm
rewrite-expression-head
Rules
29×pow1
16×pow-prod-down
9×sqrt-pow1
6×cbrt-prod add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×add-exp-log add-cbrt-cube add-log-exp
2×pow1/2 pow1/3 sqrt-prod
Counts
4 → 49
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
125.0ms
(sqrt (* (* (* x 3.0) (* (cbrt x) (cbrt x))) (cbrt x)))
20.0ms
(sqrt (* (* x 3.0) x))

series782.0ms

Counts
4 → 12
Calls
4 calls:
317.0ms
(cbrt x)
318.0ms
(cbrt x)
96.0ms
(sqrt (* (* (* x 3.0) (* (cbrt x) (cbrt x))) (cbrt x)))
51.0ms
(sqrt (* (* x 3.0) x))

simplify1.0s

Counts
61 → 61

prune344.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt (* (cbrt x) (cbrt x)))
20.5b
(sqrt (* (* x 3.0) x))
20.5b
(sqrt (* (* (* x 3.0) (* (cbrt x) (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x))))) (cbrt x)))

rewrite342.0ms

Algorithm
rewrite-expression-head
Rules
40×pow1
25×pow-prod-down
11×sqrt-pow1
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×add-exp-log cbrt-prod add-cbrt-cube add-log-exp
2×pow1/2 pow1/3 sqrt-prod
Counts
4 → 49
Calls
4 calls:
1.0ms
(cbrt x)
6.0ms
(cbrt (* (cbrt x) (cbrt x)))
13.0ms
(sqrt (* (* x 3.0) x))
320.0ms
(sqrt (* (* (* x 3.0) (* (cbrt x) (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x))))) (cbrt x)))

series843.0ms

Counts
4 → 12
Calls
4 calls:
338.0ms
(cbrt x)
374.0ms
(cbrt (* (cbrt x) (cbrt x)))
50.0ms
(sqrt (* (* x 3.0) x))
80.0ms
(sqrt (* (* (* x 3.0) (* (cbrt x) (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x))))) (cbrt x)))

simplify1.9s

Counts
61 → 61

prune303.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

regimes100.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify18.0ms

end0.0ms

sample468.0ms

Algorithm
intervals
Results
243.0ms10749×body80valid