Details

Time bar (total: 6.4s)

sample26.0ms

Algorithm
intervals
Results
10.0ms336×body80valid

simplify6.0ms

Counts
1 → 1
Iterations
IterNodes
done9
29
16
04

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize9.0ms

Local error

Found 1 expressions with local error:

0.2b
(* (* x 3.0) x)

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-cbrt-cube add-exp-log
3×associate-*r* pow-prod-down prod-exp cbrt-unprod
2×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
1×expm1-log1p-u associate-*l* *-commutative log1p-expm1-u add-log-exp
Counts
1 → 20
Calls
1 calls:
18.0ms
(* (* x 3.0) x)

series34.0ms

Counts
1 → 3
Calls
1 calls:
34.0ms
(* (* x 3.0) x)

simplify702.0ms

Counts
23 → 23
Iterations
IterNodes
done5000
2711
1101
039

prune69.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize19.0ms

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)))
18.1b
(sqrt (* (* x 3.0) x))
18.1b
(sqrt (* (* x 3.0) x))

rewrite148.0ms

Algorithm
rewrite-expression-head
Rules
148×pow1
80×pow-prod-down
66×sqrt-pow1
17×pow-prod-up
14×pow1/2
11×add-sqr-sqrt add-cbrt-cube add-exp-log pow-sqr
9×*-un-lft-identity add-cube-cbrt
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 rem-square-sqrt pow-plus sqrt-unprod unswap-sqr
Counts
4 → 116
Calls
4 calls:
13.0ms
(* (* x 3.0) x)
91.0ms
(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
17.0ms
(sqrt (* (* x 3.0) x))
22.0ms
(sqrt (* (* x 3.0) x))

series256.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(* (* x 3.0) x)
96.0ms
(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
65.0ms
(sqrt (* (* x 3.0) x))
62.0ms
(sqrt (* (* x 3.0) x))

simplify1.3s

Counts
128 → 128
Iterations
IterNodes
done5000
21543
1219
088

prune441.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.2b
(* (* x x) 3.0)

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-cbrt-cube add-exp-log
3×add-sqr-sqrt associate-*r* pow-prod-down prod-exp cbrt-unprod
2×*-un-lft-identity add-cube-cbrt
1×expm1-log1p-u associate-*l* *-commutative log1p-expm1-u add-log-exp unswap-sqr
Counts
1 → 21
Calls
1 calls:
31.0ms
(* (* x x) 3.0)

series36.0ms

Counts
1 → 3
Calls
1 calls:
35.0ms
(* (* x x) 3.0)

simplify771.0ms

Counts
24 → 24
Iterations
IterNodes
done5000
2736
1106
039

prune103.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (sqrt (* (* x 3.0) x)) (sqrt (sqrt (* (* x 3.0) x))))
18.1b
(sqrt (* (* x 3.0) x))
18.1b
(sqrt (* (* x 3.0) x))
18.1b
(sqrt (* (* x 3.0) x))

rewrite158.0ms

Algorithm
rewrite-expression-head
Rules
84×pow1
56×sqrt-pow1
41×pow-prod-down
18×pow-prod-up
14×pow1/2
12×add-sqr-sqrt
10×sqrt-prod
7×*-un-lft-identity associate-*r* add-cube-cbrt
6×add-cbrt-cube add-exp-log
4×expm1-log1p-u associate-*l* log1p-expm1-u add-log-exp
2×unswap-sqr
1×sqrt-unprod pow3 prod-exp *-commutative cbrt-unprod
Counts
4 → 92
Calls
4 calls:
115.0ms
(* (sqrt (* (* x 3.0) x)) (sqrt (sqrt (* (* x 3.0) x))))
17.0ms
(sqrt (* (* x 3.0) x))
10.0ms
(sqrt (* (* x 3.0) x))
10.0ms
(sqrt (* (* x 3.0) x))

series322.0ms

Counts
4 → 12
Calls
4 calls:
158.0ms
(* (sqrt (* (* x 3.0) x)) (sqrt (sqrt (* (* x 3.0) x))))
72.0ms
(sqrt (* (* x 3.0) x))
42.0ms
(sqrt (* (* x 3.0) x))
50.0ms
(sqrt (* (* x 3.0) x))

simplify917.0ms

Counts
104 → 104
Iterations
IterNodes
done5001
2900
1230
095

prune313.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes124.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done6
16
04

end0.0ms

sample523.0ms

Algorithm
intervals
Results
240.0ms10677×body80valid