Details

Time bar (total: 6.9s)

sample16.0ms

Algorithm
intervals
Results
8.0ms329×body80valid

simplify18.0ms

Counts
1 → 1

prune1.0ms

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 3.0) x)

rewrite19.0ms

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:
18.0ms
(* (* x 3.0) x)

series46.0ms

Counts
1 → 3
Calls
1 calls:
46.0ms
(* (* x 3.0) x)

simplify731.0ms

Counts
21 → 21

prune62.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* x 3.0) x)
0.4b
(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
18.9b
(sqrt (* (* x 3.0) x))
18.9b
(sqrt (* (* x 3.0) x))

rewrite201.0ms

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:
24.0ms
(* (* x 3.0) x)
121.0ms
(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
25.0ms
(sqrt (* (* x 3.0) x))
26.0ms
(sqrt (* (* x 3.0) x))

series239.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(* (* x 3.0) x)
98.0ms
(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
53.0ms
(sqrt (* (* x 3.0) x))
55.0ms
(sqrt (* (* x 3.0) x))

simplify762.0ms

Counts
120 → 120

prune229.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (sqrt (sqrt (* (* x 3.0) x))) (sqrt (sqrt (* (* x 3.0) x))))
18.9b
(sqrt (* (* x 3.0) x))
18.9b
(sqrt (* (* x 3.0) x))
18.9b
(sqrt (* (* x 3.0) x))

rewrite305.0ms

Algorithm
rewrite-expression-head
Rules
157×pow1
149×sqrt-pow1
82×pow-prod-down
29×sqrt-prod
24×add-sqr-sqrt
23×pow1/2
21×pow-prod-up
13×pow-sqr
12×add-cube-cbrt *-un-lft-identity
9×swap-sqr
7×associate-*r* associate-*l*
6×add-exp-log add-cbrt-cube
4×add-log-exp unswap-sqr
1×pow2 pow-plus sqrt-unprod prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 124
Calls
4 calls:
205.0ms
(* (sqrt (sqrt (* (* x 3.0) x))) (sqrt (sqrt (* (* x 3.0) x))))
25.0ms
(sqrt (* (* x 3.0) x))
32.0ms
(sqrt (* (* x 3.0) x))
25.0ms
(sqrt (* (* x 3.0) x))

series234.0ms

Counts
4 → 12
Calls
4 calls:
57.0ms
(* (sqrt (sqrt (* (* x 3.0) x))) (sqrt (sqrt (* (* x 3.0) x))))
73.0ms
(sqrt (* (* x 3.0) x))
52.0ms
(sqrt (* (* x 3.0) x))
52.0ms
(sqrt (* (* x 3.0) x))

simplify548.0ms

Counts
136 → 136

prune286.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.7b
(cbrt x)
0.7b
(cbrt x)
18.9b
(sqrt (* (* (* x 3.0) (* (cbrt x) (cbrt x))) (cbrt x)))
18.9b
(sqrt (* (* x 3.0) x))

rewrite171.0ms

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:
2.0ms
(cbrt x)
2.0ms
(cbrt x)
152.0ms
(sqrt (* (* (* x 3.0) (* (cbrt x) (cbrt x))) (cbrt x)))
13.0ms
(sqrt (* (* x 3.0) x))

series772.0ms

Counts
4 → 12
Calls
4 calls:
278.0ms
(cbrt x)
294.0ms
(cbrt x)
132.0ms
(sqrt (* (* (* x 3.0) (* (cbrt x) (cbrt x))) (cbrt x)))
67.0ms
(sqrt (* (* x 3.0) x))

simplify1.2s

Counts
61 → 61

prune227.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes79.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify21.0ms

end0.0ms

sample620.0ms

Algorithm
intervals
Results
329.0ms10682×body80valid