Details

Time bar (total: 10.6s)

sample10.0ms

Algorithm
intervals
Results
4.0ms336×body80valid

simplify4.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
045
165
295
done95

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize3.0ms

Local error

Found 1 expressions with local error:

0.2b
(* (* x 3.0) x)

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-cbrt-cube
associate-*r* pow-prod-down prod-exp cbrt-unprod
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
expm1-log1p-u associate-*l* *-commutative log1p-expm1-u add-log-exp
Counts
1 → 20
Calls
1 calls:
6.0ms
(* (* x 3.0) x)

series30.0ms

Counts
1 → 3
Calls
1 calls:
29.0ms
(* (* x 3.0) x)

simplify3.2s

Counts
23 → 23
Iterations

Useful iterations: 4 (1.3s)

IterNodesCost
039169
192164
2349134
31185134
42796133
done5000133

prune37.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

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)))
19.7b
(sqrt (* (* x 3.0) x))
19.7b
(sqrt (* (* x 3.0) x))

rewrite60.0ms

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
add-cube-cbrt *-un-lft-identity
associate-*r*
sqrt-prod
associate-*l*
expm1-log1p-u swap-sqr prod-exp cbrt-unprod log1p-expm1-u add-log-exp
*-commutative
pow2 pow-plus sqrt-unprod rem-square-sqrt unswap-sqr
Counts
4 → 116
Calls
4 calls:
7.0ms
(* (* x 3.0) x)
37.0ms
(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
5.0ms
(sqrt (* (* x 3.0) x))
6.0ms
(sqrt (* (* x 3.0) x))

series165.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* (* x 3.0) x)
69.0ms
(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
34.0ms
(sqrt (* (* x 3.0) x))
37.0ms
(sqrt (* (* x 3.0) x))

simplify2.0s

Counts
128 → 128
Iterations

Useful iterations: 3 (795.0ms)

IterNodesCost
0881171
1175809
2627696
33292639
done5000639

prune176.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize4.0ms

Local error

Found 1 expressions with local error:

0.2b
(* 3.0 (pow x 2))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
associate-*r*
add-exp-log
add-cube-cbrt unpow-prod-down *-un-lft-identity unswap-sqr
associate-*l* prod-exp add-cbrt-cube
unpow2 sqr-pow
pow1 expm1-log1p-u pow-to-exp pow-exp *-commutative cbrt-unprod log1p-expm1-u add-log-exp
Counts
1 → 29
Calls
1 calls:
6.0ms
(* 3.0 (pow x 2))

series25.0ms

Counts
1 → 3
Calls
1 calls:
25.0ms
(* 3.0 (pow x 2))

simplify2.2s

Counts
32 → 32
Iterations

Useful iterations: 4 (536.0ms)

IterNodesCost
053244
1110221
2280188
3699188
43190185
done5001185

prune53.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* x 3.0) x)
0.4b
(* (fabs (* x (sqrt 3.0))) (sqrt (* (* x 3.0) x)))
0.4b
(* x (sqrt 3.0))
19.7b
(sqrt (* (* x 3.0) x))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
19×pow1
16×add-sqr-sqrt
13×add-exp-log associate-*r* add-cbrt-cube
10×add-cube-cbrt *-un-lft-identity
pow-prod-down
associate-*l*
sqrt-prod
prod-exp cbrt-unprod
expm1-log1p-u log1p-expm1-u add-log-exp
sqrt-pow1 *-commutative unswap-sqr
pow1/2
Counts
4 → 79
Calls
4 calls:
7.0ms
(* (* x 3.0) x)
18.0ms
(* (fabs (* x (sqrt 3.0))) (sqrt (* (* x 3.0) x)))
4.0ms
(* x (sqrt 3.0))
8.0ms
(sqrt (* (* x 3.0) x))

series186.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* (* x 3.0) x)
83.0ms
(* (fabs (* x (sqrt 3.0))) (sqrt (* (* x 3.0) x)))
45.0ms
(* x (sqrt 3.0))
34.0ms
(sqrt (* (* x 3.0) x))

simplify1.9s

Counts
91 → 91
Iterations

Useful iterations: 3 (511.0ms)

IterNodesCost
0111819
1233762
2696688
32343569
done5001569

prune177.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes31.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045
165
done65

end0.0ms

sample235.0ms

Algorithm
intervals
Results
133.0ms10574×body80valid