Details

Time bar (total: 17.0s)

sample17.0ms

Algorithm
intervals
Results
7.0ms337×body80valid

simplify4.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045
175
2105
done105

prune2.0ms

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)

rewrite20.0ms

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:
19.0ms
(* (* x 3.0) x)

series46.0ms

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

simplify4.8s

Counts
23 → 23
Iterations

Useful iterations: 4 (1.4s)

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))

series51.0ms

Counts
1 → 3
Calls
1 calls:
50.0ms
(* 3.0 (pow x 2))

simplify4.1s

Counts
32 → 32
Iterations

Useful iterations: 4 (1.6s)

IterNodesCost
053244
1109221
2237188
3672188
43356185
done5001185

prune68.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

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))

rewrite249.0ms

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:
34.0ms
(* (* x 3.0) x)
162.0ms
(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
16.0ms
(sqrt (* (* x 3.0) x))
29.0ms
(sqrt (* (* x 3.0) x))

series235.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(* (* x 3.0) x)
96.0ms
(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
47.0ms
(sqrt (* (* x 3.0) x))
58.0ms
(sqrt (* (* x 3.0) x))

simplify4.0s

Counts
128 → 128
Iterations

Useful iterations: done (4.0s)

IterNodesCost
0881171
1175809
2567696
32088617
done5000607

prune253.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

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

rewrite196.0ms

Algorithm
rewrite-expression-head
Rules
45×add-sqr-sqrt
32×sqrt-prod
24×associate-*r*
19×add-cube-cbrt *-un-lft-identity
16×unpow-prod-down cube-prod
14×pow1 unswap-sqr
12×add-exp-log
10×associate-*l*
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:
144.0ms
(* (sqrt (sqrt (* (* x 3.0) x))) (pow (sqrt (fabs (* x (sqrt 3.0)))) 3))
12.0ms
(* x (sqrt 3.0))
4.0ms
(pow (sqrt (fabs (* x (sqrt 3.0)))) 3)
28.0ms
(sqrt (* (* x 3.0) x))

series360.0ms

Counts
4 → 12
Calls
4 calls:
130.0ms
(* (sqrt (sqrt (* (* x 3.0) x))) (pow (sqrt (fabs (* x (sqrt 3.0)))) 3))
67.0ms
(* x (sqrt 3.0))
119.0ms
(pow (sqrt (fabs (* x (sqrt 3.0)))) 3)
44.0ms
(sqrt (* (* x 3.0) x))

simplify1.4s

Counts
135 → 135
Iterations

Useful iterations: done (1.4s)

IterNodesCost
01712071
13901781
213081728
done50001255

prune411.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0b

regimes67.0ms

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

sample599.0ms

Algorithm
intervals
Results
310.0ms10619×body80valid