Details

Time bar (total: 16.3s)

sample29.0ms

Algorithm
intervals
Results
15.0ms342×body80valid

simplify40.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1127
2177
3217
4237
5247
done247

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 1 expressions with local error:

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

rewrite36.0ms

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:
35.0ms
(/ (- (* x x) 3.0) 6.0)

series121.0ms

Counts
1 → 3
Calls
1 calls:
121.0ms
(/ (- (* x x) 3.0) 6.0)

simplify3.1s

Counts
39 → 39
Iterations

Useful iterations: 4 (1.3s)

IterNodesCost
080467
1181451
2425419
31020419
42786418
done5000418

prune123.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 1 expressions with local error:

0.2b
(* (/ x 6.0) x)

rewrite31.0ms

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:
29.0ms
(* (/ x 6.0) x)

series29.0ms

Counts
1 → 3
Calls
1 calls:
29.0ms
(* (/ x 6.0) x)

simplify6.0s

Counts
37 → 37
Iterations

Useful iterations: 4 (2.6s)

IterNodesCost
065273
1149268
2370228
3899228
42132224
done5000224

prune106.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (sqrt 3.0))
0.0b
(- x (sqrt 3.0))
0.1b
(/ (+ x (sqrt 3.0)) (/ 6.0 (- x (sqrt 3.0))))
0.7b
(/ 6.0 (- x (sqrt 3.0)))

rewrite118.0ms

Algorithm
rewrite-expression-head
Rules
204×times-frac
196×*-un-lft-identity
184×add-sqr-sqrt
104×add-cube-cbrt
40×difference-of-squares
30×associate-/r*
29×sqrt-prod
26×distribute-lft-out
20×distribute-lft-out--
18×prod-diff
13×associate-/r/
11×add-exp-log add-cbrt-cube
8×add-log-exp
7×flip3-- flip-- div-inv associate-/l*
4×pow1 cbrt-undiv expm1-log1p-u div-exp log1p-expm1-u
3×fma-def fma-neg
2×frac-2neg flip3-+ clear-num flip-+ associate-/l/
1×+-commutative sub-neg diff-log sum-log
Counts
4 → 241
Calls
4 calls:
7.0ms
(+ x (sqrt 3.0))
9.0ms
(- x (sqrt 3.0))
66.0ms
(/ (+ x (sqrt 3.0)) (/ 6.0 (- x (sqrt 3.0))))
19.0ms
(/ 6.0 (- x (sqrt 3.0)))

series478.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(+ x (sqrt 3.0))
69.0ms
(- x (sqrt 3.0))
268.0ms
(/ (+ x (sqrt 3.0)) (/ 6.0 (- x (sqrt 3.0))))
94.0ms
(/ 6.0 (- x (sqrt 3.0)))

simplify2.5s

Counts
253 → 253
Iterations

Useful iterations: done (2.5s)

IterNodesCost
03034687
16674176
223183813
done50013711

prune521.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma 3.0 (fma x x 3.0) (pow x 4))
0.1b
(* 6.0 (fma 3.0 (fma x x 3.0) (pow x 4)))
0.2b
(pow (* x x) 3)
10.9b
(/ (- (pow (* x x) 3) (pow 3.0 3)) (* 6.0 (fma 3.0 (fma x x 3.0) (pow x 4))))

rewrite102.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt
32×difference-of-squares
21×times-frac associate-/l*
17×unpow-prod-down cube-prod sqr-pow
14×pow1 add-exp-log add-cbrt-cube
13×*-un-lft-identity
9×add-cube-cbrt
6×pow-pow
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow-unpow associate-*r* associate-*l* prod-exp cbrt-unprod fma-udef
2×difference-cubes cbrt-undiv div-exp pow-prod-down pow-exp associate-/l/ distribute-lft-out-- rem-cube-cbrt
1×pow2 distribute-rgt-in cube-mult pow-to-exp flip3-- frac-2neg distribute-lft-in pow-plus unpow3 div-sub clear-num associate-/r* pow-sqr *-commutative pow-prod-up flip-- div-inv unswap-sqr
Counts
4 → 122
Calls
4 calls:
0.0ms
(fma 3.0 (fma x x 3.0) (pow x 4))
7.0ms
(* 6.0 (fma 3.0 (fma x x 3.0) (pow x 4)))
7.0ms
(pow (* x x) 3)
80.0ms
(/ (- (pow (* x x) 3) (pow 3.0 3)) (* 6.0 (fma 3.0 (fma x x 3.0) (pow x 4))))

series602.0ms

Counts
4 → 12
Calls
4 calls:
77.0ms
(fma 3.0 (fma x x 3.0) (pow x 4))
78.0ms
(* 6.0 (fma 3.0 (fma x x 3.0) (pow x 4)))
75.0ms
(pow (* x x) 3)
373.0ms
(/ (- (pow (* x x) 3) (pow 3.0 3)) (* 6.0 (fma 3.0 (fma x x 3.0) (pow x 4))))

simplify1.0s

Counts
134 → 134
Iterations

Useful iterations: done (998.0ms)

IterNodesCost
01962453
14362204
214252011
done50022008

prune545.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes57.0ms

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
079
189
done89

end0.0ms

sample731.0ms

Algorithm
intervals
Results
448.0ms10681×body80valid