Details

Time bar (total: 16.6s)

sample13.0ms

Algorithm
intervals
Results
6.0ms337×body80valid

simplify4.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045
175
2105
done105

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize4.0ms

Local error

Found 1 expressions with local error:

0.1b
(* (* x 3.0) x)

rewrite28.0ms

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×expm1-log1p-u associate-*l* *-commutative log1p-expm1-u add-log-exp
Counts
1 → 20
Calls
1 calls:
27.0ms
(* (* x 3.0) x)

series60.0ms

Counts
1 → 3
Calls
1 calls:
60.0ms
(* (* x 3.0) x)

simplify4.8s

Counts
23 → 23
Iterations

Useful iterations: 4 (1.2s)

IterNodesCost
039169
194164
2314134
3654134
4983133
52724133
done5001133

prune44.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.2b
(* 3.0 (pow x 2))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
8×associate-*r*
6×add-exp-log
4×add-cube-cbrt unpow-prod-down *-un-lft-identity unswap-sqr
3×associate-*l* prod-exp add-cbrt-cube
2×unpow2 sqr-pow
1×pow1 expm1-log1p-u pow-to-exp pow-exp *-commutative cbrt-unprod log1p-expm1-u add-log-exp
Counts
1 → 29
Calls
1 calls:
13.0ms
(* 3.0 (pow x 2))

series32.0ms

Counts
1 → 3
Calls
1 calls:
32.0ms
(* 3.0 (pow x 2))

simplify4.0s

Counts
32 → 32
Iterations

Useful iterations: 4 (1.7s)

IterNodesCost
053244
1109221
2237188
3672188
43356185
done5001185

prune65.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* x 3.0) x)
0.3b
(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
20.3b
(sqrt (* (* x 3.0) x))
20.3b
(sqrt (* (* x 3.0) x))

rewrite199.0ms

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×expm1-log1p-u swap-sqr prod-exp cbrt-unprod log1p-expm1-u add-log-exp
2×*-commutative
1×pow2 pow-plus sqrt-unprod rem-square-sqrt unswap-sqr
Counts
4 → 116
Calls
4 calls:
20.0ms
(* (* x 3.0) x)
123.0ms
(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
21.0ms
(sqrt (* (* x 3.0) x))
27.0ms
(sqrt (* (* x 3.0) x))

series244.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(* (* x 3.0) x)
108.0ms
(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
43.0ms
(sqrt (* (* x 3.0) x))
54.0ms
(sqrt (* (* x 3.0) x))

simplify3.8s

Counts
128 → 128
Iterations

Useful iterations: done (3.8s)

IterNodesCost
0881171
1175809
2567696
32088617
done5000607

prune257.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (pow (sqrt (fabs (* x (sqrt 3.0)))) 3) (sqrt (sqrt (* (* x 3.0) x))))
0.4b
(* x (sqrt 3.0))
0.5b
(pow (sqrt (fabs (* x (sqrt 3.0)))) 3)
20.3b
(sqrt (* (* x 3.0) x))

rewrite122.0ms

Algorithm
rewrite-expression-head
Rules
45×add-sqr-sqrt
32×sqrt-prod
21×associate-*l*
19×add-cube-cbrt *-un-lft-identity
16×unpow-prod-down cube-prod
14×pow1 unswap-sqr
13×associate-*r*
12×add-exp-log
9×add-cbrt-cube
4×expm1-log1p-u sqrt-pow1 pow-prod-down prod-exp log1p-expm1-u add-log-exp sqr-pow
3×pow-unpow pow-pow
2×cube-mult pow-to-exp pow1/2 unpow3 pow-exp *-commutative cbrt-unprod
1×sqrt-pow2 rem-cube-cbrt
Counts
4 → 123
Calls
4 calls:
85.0ms
(* (pow (sqrt (fabs (* x (sqrt 3.0)))) 3) (sqrt (sqrt (* (* x 3.0) x))))
10.0ms
(* x (sqrt 3.0))
5.0ms
(pow (sqrt (fabs (* x (sqrt 3.0)))) 3)
15.0ms
(sqrt (* (* x 3.0) x))

series340.0ms

Counts
4 → 12
Calls
4 calls:
112.0ms
(* (pow (sqrt (fabs (* x (sqrt 3.0)))) 3) (sqrt (sqrt (* (* x 3.0) x))))
72.0ms
(* x (sqrt 3.0))
89.0ms
(pow (sqrt (fabs (* x (sqrt 3.0)))) 3)
67.0ms
(sqrt (* (* x 3.0) x))

simplify1.5s

Counts
135 → 135
Iterations

Useful iterations: done (1.5s)

IterNodesCost
01712064
13931824
213251771
done50001248

prune453.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0b

regimes64.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045
165
done65

end0.0ms

sample477.0ms

Algorithm
intervals
Results
313.0ms10619×body80valid