Details

Time bar (total: 14.1s)

sample20.0ms

Algorithm
intervals
Results
8.0ms331×body80valid

simplify20.0ms

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

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* x x) 3.0)
0.1b
(/ (- (* x x) 3.0) 6.0)

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
12×add-cube-cbrt *-un-lft-identity times-frac
5×difference-of-squares
4×add-exp-log add-cbrt-cube associate-/l* add-log-exp
3×prod-diff associate-/r*
2×pow1 expm1-log1p-u flip3-- flip-- log1p-expm1-u associate-/l/
1×cbrt-undiv sub-neg frac-2neg fma-neg diff-log div-sub div-exp clear-num div-inv
Counts
2 → 55
Calls
2 calls:
9.0ms
(- (* x x) 3.0)
22.0ms
(/ (- (* x x) 3.0) 6.0)

series180.0ms

Counts
2 → 6
Calls
2 calls:
75.0ms
(- (* x x) 3.0)
105.0ms
(/ (- (* x x) 3.0) 6.0)

simplify2.0s

Counts
61 → 61
Iterations

Useful iterations: done (2.0s)

IterNodesCost
0109680
1245630
2567570
31610561
done5000560

prune204.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x x) (- 3.0))
0.1b
(/ (+ (* x x) (- 3.0)) 6.0)

rewrite87.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
6×add-log-exp
4×add-exp-log add-cbrt-cube
3×div-sub associate-/r* associate-/l*
2×pow1 neg-sub0 expm1-log1p-u associate-+r- flip3-+ unsub-neg sum-log flip-+ log1p-expm1-u associate-/l/
1×cbrt-undiv +-commutative fma-def frac-2neg div-exp neg-log clear-num div-inv
Counts
2 → 52
Calls
2 calls:
21.0ms
(+ (* x x) (- 3.0))
64.0ms
(/ (+ (* x x) (- 3.0)) 6.0)

series179.0ms

Counts
2 → 6
Calls
2 calls:
70.0ms
(+ (* x x) (- 3.0))
109.0ms
(/ (+ (* x x) (- 3.0)) 6.0)

simplify4.1s

Counts
58 → 58
Iterations

Useful iterations: done (4.1s)

IterNodesCost
089652
1205570
2601513
31796508
done5000506

prune141.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize15.0ms

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))

series45.0ms

Counts
1 → 3
Calls
1 calls:
45.0ms
(* 0.16666666666666666 (pow x 2))

simplify3.5s

Counts
32 → 32
Iterations

Useful iterations: 4 (1.4s)

IterNodesCost
053244
1109221
2237188
3672188
43356185
done5001185

prune80.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
14×add-exp-log
9×prod-exp
7×associate-*r*
6×add-cbrt-cube
3×add-sqr-sqrt add-cube-cbrt unpow-prod-down *-un-lft-identity cbrt-unprod
2×pow-to-exp pow-exp
1×pow1 expm1-log1p-u associate-*l* *-commutative log1p-expm1-u add-log-exp sqr-pow
Counts
1 → 26
Calls
1 calls:
29.0ms
(* (* x 0.16666666666666666) (pow x (/ 2 2)))

series41.0ms

Counts
1 → 3
Calls
1 calls:
41.0ms
(* (* x 0.16666666666666666) (pow x (/ 2 2)))

simplify2.6s

Counts
29 → 29
Iterations

Useful iterations: 3 (741.0ms)

IterNodesCost
059344
1149251
2438172
31545169
done5001169

prune83.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes77.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078
188
done88

end0.0ms

sample622.0ms

Algorithm
intervals
Results
392.0ms10637×body80valid