Details

Time bar (total: 7.8s)

sample23.0ms

Algorithm
intervals
Results
10.0ms342×body80valid

simplify6.0ms

Counts
1 → 1
Iterations
IterNodes
done9
29
16
04

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize5.0ms

Local error

Found 1 expressions with local error:

0.2b
(* (* x 3.0) x)

rewrite15.0ms

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:
14.0ms
(* (* x 3.0) x)

series46.0ms

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

simplify703.0ms

Counts
23 → 23
Iterations
IterNodes
done5000
2711
1101
039

prune103.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.1b

localize11.0ms

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)))
17.9b
(sqrt (* (* x 3.0) x))
17.9b
(sqrt (* (* x 3.0) x))

rewrite179.0ms

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:
23.0ms
(* (* x 3.0) x)
112.0ms
(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
14.0ms
(sqrt (* (* x 3.0) x))
22.0ms
(sqrt (* (* x 3.0) x))

series251.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(* (* x 3.0) x)
108.0ms
(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
41.0ms
(sqrt (* (* x 3.0) x))
70.0ms
(sqrt (* (* x 3.0) x))

simplify1.4s

Counts
128 → 128
Iterations
IterNodes
done5000
21543
1219
088

prune435.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

0.2b
(* (* x x) 3.0)

rewrite25.0ms

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:
25.0ms
(* (* x x) 3.0)

series34.0ms

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

simplify800.0ms

Counts
24 → 24
Iterations
IterNodes
done5000
2736
1106
039

prune125.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* x x) 3.0)
0.3b
(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x x) 3.0)))
17.9b
(sqrt (* (* x 3.0) x))
17.9b
(sqrt (* (* x x) 3.0))

rewrite150.0ms

Algorithm
rewrite-expression-head
Rules
59×pow1
38×pow-prod-down
24×sqrt-pow1
11×add-cbrt-cube add-exp-log
10×add-sqr-sqrt
7×*-un-lft-identity associate-*r* add-cube-cbrt
5×associate-*l*
4×expm1-log1p-u pow1/2 prod-exp sqrt-prod cbrt-unprod log1p-expm1-u add-log-exp
2×*-commutative unswap-sqr
1×sqrt-unprod
Counts
4 → 82
Calls
4 calls:
15.0ms
(* (* x x) 3.0)
109.0ms
(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x x) 3.0)))
12.0ms
(sqrt (* (* x 3.0) x))
12.0ms
(sqrt (* (* x x) 3.0))

series253.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(* (* x x) 3.0)
110.0ms
(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x x) 3.0)))
58.0ms
(sqrt (* (* x 3.0) x))
47.0ms
(sqrt (* (* x x) 3.0))

simplify2.3s

Counts
94 → 94
Iterations
IterNodes
done5002
21664
1214
088

prune416.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes119.0ms

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

sample445.0ms

Algorithm
intervals
Results
277.0ms10695×body80valid