Details

Time bar (total: 11.7s)

sample17.0ms

Algorithm
intervals
Results
8.0ms348×body80valid

simplify15.0ms

Counts
1 → 1
Iterations
IterNodes
done24
524
423
321
217
112
06

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
12×times-frac
10×*-un-lft-identity add-cube-cbrt
4×associate-/l* difference-of-squares
3×associate-/r* add-cbrt-cube add-exp-log
2×associate-/l/
1×expm1-log1p-u pow1 cbrt-undiv clear-num frac-2neg flip3-- div-sub div-exp log1p-expm1-u div-inv flip-- add-log-exp
Counts
1 → 36
Calls
1 calls:
17.0ms
(/ (- (* x x) 3.0) 6.0)

series84.0ms

Counts
1 → 3
Calls
1 calls:
84.0ms
(/ (- (* x x) 3.0) 6.0)

simplify2.2s

Counts
39 → 39
Iterations
IterNodes
done5000
34029
2651
1189
080

prune159.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.1b
(fma (* x x) 0.16666666666666666 (- 0.5))

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×add-sqr-sqrt expm1-log1p-u pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
0.0ms
(fma (* x x) 0.16666666666666666 (- 0.5))

series69.0ms

Counts
1 → 3
Calls
1 calls:
69.0ms
(fma (* x x) 0.16666666666666666 (- 0.5))

simplify3.5s

Counts
13 → 13
Iterations
IterNodes
done5000
42732
3382
296
131
020

prune46.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ 6.0 (fma x x (- 3.0)))
0.1b
(/ 1 (/ 6.0 (fma x x (- 3.0))))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
84×times-frac
52×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
16×associate-/r*
15×add-exp-log
9×add-cbrt-cube
8×div-exp
6×div-inv associate-/l*
4×cbrt-undiv
3×pow1
2×expm1-log1p-u rec-exp clear-num frac-2neg 1-exp log1p-expm1-u add-log-exp
1×associate-/r/ pow-flip inv-pow
Counts
2 → 107
Calls
2 calls:
4.0ms
(/ 6.0 (fma x x (- 3.0)))
8.0ms
(/ 1 (/ 6.0 (fma x x (- 3.0))))

series198.0ms

Counts
2 → 6
Calls
2 calls:
87.0ms
(/ 6.0 (fma x x (- 3.0)))
111.0ms
(/ 1 (/ 6.0 (fma x x (- 3.0))))

simplify1.1s

Counts
113 → 113
Iterations
IterNodes
done5002
21995
1428
0181

prune268.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize24.0ms

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)))

rewrite103.0ms

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-cbrt-cube add-exp-log
8×add-log-exp
7×flip3-- div-inv flip-- associate-/l*
4×expm1-log1p-u pow1 cbrt-undiv div-exp log1p-expm1-u
3×fma-def fma-neg
2×clear-num frac-2neg flip3-+ flip-+ associate-/l/
1×+-commutative sum-log sub-neg diff-log
Counts
4 → 241
Calls
4 calls:
14.0ms
(+ x (sqrt 3.0))
14.0ms
(- x (sqrt 3.0))
37.0ms
(/ (+ x (sqrt 3.0)) (/ 6.0 (- x (sqrt 3.0))))
19.0ms
(/ 6.0 (- x (sqrt 3.0)))

series465.0ms

Counts
4 → 12
Calls
4 calls:
63.0ms
(+ x (sqrt 3.0))
49.0ms
(- x (sqrt 3.0))
265.0ms
(/ (+ x (sqrt 3.0)) (/ 6.0 (- x (sqrt 3.0))))
88.0ms
(/ 6.0 (- x (sqrt 3.0)))

simplify1.8s

Counts
253 → 253
Iterations
IterNodes
done5001
24278
1780
0303

prune809.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes60.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done6
06

end0.0ms

sample671.0ms

Algorithm
intervals
Results
418.0ms10604×body80valid