Details

Time bar (total: 17.1s)

sample36.0ms

Algorithm
intervals
Results
23.0ms347×body80valid

simplify24.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1127
2177
3217
4237
5247
done247

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

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:
34.0ms
(/ (- (* x x) 3.0) 6.0)

series100.0ms

Counts
1 → 3
Calls
1 calls:
100.0ms
(/ (- (* x x) 3.0) 6.0)

simplify3.1s

Counts
39 → 39
Iterations

Useful iterations: 4 (1.1s)

IterNodesCost
080467
1181451
2425419
31020419
42786418
done5000418

prune105.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

0.1b
(* (/ x 6.0) x)

rewrite16.0ms

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:
15.0ms
(* (/ x 6.0) x)

series49.0ms

Counts
1 → 3
Calls
1 calls:
49.0ms
(* (/ x 6.0) x)

simplify5.6s

Counts
37 → 37
Iterations

Useful iterations: 4 (2.3s)

IterNodesCost
065273
1149268
2370228
3899228
42132224
done5000224

prune146.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(/ (* (cbrt x) (cbrt x)) (sqrt 6.0))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×add-exp-log cbrt-prod
7×add-cbrt-cube
6×times-frac associate-/r* sqrt-prod
4×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3
2×cbrt-undiv div-exp
1×frac-2neg prod-exp clear-num cbrt-unprod div-inv associate-/l*
Counts
4 → 68
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
19.0ms
(/ (* (cbrt x) (cbrt x)) (sqrt 6.0))

series1.3s

Counts
4 → 12
Calls
4 calls:
298.0ms
(cbrt x)
272.0ms
(cbrt x)
323.0ms
(cbrt x)
372.0ms
(/ (* (cbrt x) (cbrt x)) (sqrt 6.0))

simplify1.8s

Counts
80 → 80
Iterations

Useful iterations: done (1.8s)

IterNodesCost
083571
1167529
2479439
32105428
done5000425

prune400.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize9.0ms

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))))
0.6b
(/ 6.0 (- x (sqrt 3.0)))

rewrite134.0ms

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:
12.0ms
(- x (sqrt 3.0))
7.0ms
(+ x (sqrt 3.0))
64.0ms
(/ (+ x (sqrt 3.0)) (/ 6.0 (- x (sqrt 3.0))))
23.0ms
(/ 6.0 (- x (sqrt 3.0)))

series465.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(- x (sqrt 3.0))
63.0ms
(+ x (sqrt 3.0))
254.0ms
(/ (+ x (sqrt 3.0)) (/ 6.0 (- x (sqrt 3.0))))
103.0ms
(/ 6.0 (- x (sqrt 3.0)))

simplify2.3s

Counts
253 → 253
Iterations

Useful iterations: done (2.3s)

IterNodesCost
03034687
16674176
223183813
done50013711

prune636.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes92.0ms

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

sample614.0ms

Algorithm
intervals
Results
433.0ms10741×body80valid