Details

Time bar (total: 17.3s)

sample15.0ms

Algorithm
intervals
Results
7.0ms351×body80valid

simplify19.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1127
2177
3217
4237
5247
done247

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 x) 3.0) 6.0)

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
12×times-frac
10×add-cube-cbrt *-un-lft-identity
4×associate-/l* difference-of-squares
3×add-exp-log associate-/r* add-cbrt-cube
2×associate-/l/
1×pow1 cbrt-undiv expm1-log1p-u flip3-- frac-2neg div-sub div-exp clear-num flip-- log1p-expm1-u div-inv add-log-exp
Counts
1 → 36
Calls
1 calls:
32.0ms
(/ (- (* x x) 3.0) 6.0)

series105.0ms

Counts
1 → 3
Calls
1 calls:
105.0ms
(/ (- (* x x) 3.0) 6.0)

simplify3.1s

Counts
39 → 39
Iterations

Useful iterations: 4 (1.4s)

IterNodesCost
080467
1181451
2425419
31020419
42786418
done5000418

prune102.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 1 expressions with local error:

0.2b
(* (/ x 6.0) x)

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
13×associate-*l*
10×times-frac
9×add-cube-cbrt *-un-lft-identity
6×add-exp-log add-cbrt-cube
3×pow1 associate-*r*
2×prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv expm1-log1p-u div-exp pow-prod-down associate-*l/ *-commutative log1p-expm1-u div-inv add-log-exp
Counts
1 → 34
Calls
1 calls:
23.0ms
(* (/ x 6.0) x)

series31.0ms

Counts
1 → 3
Calls
1 calls:
31.0ms
(* (/ x 6.0) x)

simplify5.4s

Counts
37 → 37
Iterations

Useful iterations: 4 (2.3s)

IterNodesCost
065273
1149268
2370228
3899228
42132224
done5000224

prune93.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 1 expressions with local error:

0.2b
(* 0.16666666666666666 (pow x 2))

rewrite27.0ms

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:
25.0ms
(* 0.16666666666666666 (pow x 2))

series53.0ms

Counts
1 → 3
Calls
1 calls:
53.0ms
(* 0.16666666666666666 (pow x 2))

simplify4.4s

Counts
32 → 32
Iterations

Useful iterations: 4 (2.1s)

IterNodesCost
053244
1109221
2237188
3672188
43356185
done5001185

prune84.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.2b
(* (sqrt 0.16666666666666666) (pow x 2))
0.2b
(* (sqrt 0.16666666666666666) (* (sqrt 0.16666666666666666) (pow x 2)))

rewrite81.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
17×add-exp-log
12×associate-*l*
10×prod-exp sqrt-prod
9×associate-*r* add-cbrt-cube
8×add-cube-cbrt *-un-lft-identity unswap-sqr
5×unpow-prod-down
4×pow1 cbrt-unprod
3×unpow2 sqr-pow
2×expm1-log1p-u pow-to-exp pow-exp *-commutative log1p-expm1-u add-log-exp
1×pow-prod-down
Counts
2 → 60
Calls
2 calls:
26.0ms
(* (sqrt 0.16666666666666666) (pow x 2))
52.0ms
(* (sqrt 0.16666666666666666) (* (sqrt 0.16666666666666666) (pow x 2)))

series159.0ms

Counts
2 → 6
Calls
2 calls:
76.0ms
(* (sqrt 0.16666666666666666) (pow x 2))
83.0ms
(* (sqrt 0.16666666666666666) (* (sqrt 0.16666666666666666) (pow x 2)))

simplify2.8s

Counts
66 → 66
Iterations

Useful iterations: done (2.8s)

IterNodesCost
078685
1170526
2515457
31843457
done5000448

prune156.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes24.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079
189
done89

end0.0ms

sample546.0ms

Algorithm
intervals
Results
294.0ms10703×body80valid