Details

Time bar (total: 8.4s)

sample23.0ms

Algorithm
intervals
Results
10.0ms340×body80valid

simplify7.0ms

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: 0.2b

localize7.0ms

Local error

Found 1 expressions with local error:

0.2b
(* (* x 3.0) x)

rewrite37.0ms

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:
36.0ms
(* (* x 3.0) x)

series49.0ms

Counts
1 → 3
Calls
1 calls:
49.0ms
(* (* x 3.0) x)

simplify640.0ms

Counts
23 → 23
Iterations

Useful iterations: done (638.0ms)

IterNodesCost
039169
1101164
2670138
done5001136

prune47.0ms

Pruning

6 alts after pruning (5 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))

series39.0ms

Counts
1 → 3
Calls
1 calls:
39.0ms
(* 3.0 (pow x 2))

simplify3.0s

Counts
32 → 32
Iterations

Useful iterations: done (3.0s)

IterNodesCost
053244
1117221
2432188
32931188
done5001185

prune70.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.2b
(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (pow x 2)))
0.3b
(* (cbrt 3.0) (pow x 2))

rewrite84.0ms

Algorithm
rewrite-expression-head
Rules
31×add-exp-log
21×prod-exp
18×add-sqr-sqrt
9×associate-*r* add-cbrt-cube cbrt-unprod
8×unswap-sqr
7×pow1 cbrt-prod associate-*l*
6×add-cube-cbrt *-un-lft-identity
5×unpow-prod-down
3×pow-to-exp pow-prod-down pow-exp unpow2 sqr-pow
2×expm1-log1p-u *-commutative log1p-expm1-u add-log-exp
Counts
2 → 62
Calls
2 calls:
58.0ms
(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (pow x 2)))
24.0ms
(* (cbrt 3.0) (pow x 2))

series186.0ms

Counts
2 → 6
Calls
2 calls:
128.0ms
(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (pow x 2)))
57.0ms
(* (cbrt 3.0) (pow x 2))

simplify1.1s

Counts
68 → 68
Iterations

Useful iterations: done (1.1s)

IterNodesCost
088801
1225736
21279541
done5000457

prune119.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (fabs x) (sqrt (cbrt 3.0)))
0.1b
(* (fabs x) (sqrt (cbrt 3.0)))
0.2b
(* (* (cbrt 3.0) (cbrt 3.0)) (* (* (fabs x) (sqrt (cbrt 3.0))) (* (fabs x) (sqrt (cbrt 3.0)))))
0.4b
(* (* (fabs x) (sqrt (cbrt 3.0))) (* (fabs x) (sqrt (cbrt 3.0))))

rewrite348.0ms

Algorithm
rewrite-expression-head
Rules
156×pow1
81×pow-prod-down
61×add-exp-log
51×add-cbrt-cube
41×prod-exp cbrt-unprod
24×add-sqr-sqrt
20×associate-*r*
18×pow-prod-up
16×sqrt-prod
12×add-cube-cbrt *-un-lft-identity pow-plus pow-sqr
8×cbrt-prod associate-*l*
7×unswap-sqr
4×expm1-log1p-u *-commutative log1p-expm1-u add-log-exp
3×pow2
1×swap-sqr
Counts
4 → 152
Calls
4 calls:
23.0ms
(* (fabs x) (sqrt (cbrt 3.0)))
15.0ms
(* (fabs x) (sqrt (cbrt 3.0)))
237.0ms
(* (* (cbrt 3.0) (cbrt 3.0)) (* (* (fabs x) (sqrt (cbrt 3.0))) (* (fabs x) (sqrt (cbrt 3.0)))))
61.0ms
(* (* (fabs x) (sqrt (cbrt 3.0))) (* (fabs x) (sqrt (cbrt 3.0))))

series331.0ms

Counts
4 → 12
Calls
4 calls:
63.0ms
(* (fabs x) (sqrt (cbrt 3.0)))
74.0ms
(* (fabs x) (sqrt (cbrt 3.0)))
113.0ms
(* (* (cbrt 3.0) (cbrt 3.0)) (* (* (fabs x) (sqrt (cbrt 3.0))) (* (fabs x) (sqrt (cbrt 3.0)))))
81.0ms
(* (* (fabs x) (sqrt (cbrt 3.0))) (* (fabs x) (sqrt (cbrt 3.0))))

simplify1.5s

Counts
164 → 164
Iterations

Useful iterations: done (1.5s)

IterNodesCost
01182474
13291913
218401300
done50011164

prune295.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes40.0ms

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

sample424.0ms

Algorithm
intervals
Results
213.0ms10769×body80valid