Details

Time bar (total: 9.1s)

sample20.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify5.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0583
1683
done683

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ x (/ 1.0 3.0))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
4×*-un-lft-identity
3×fma-def add-log-exp
2×add-sqr-sqrt add-cube-cbrt
1×expm1-log1p-u pow1 +-commutative sum-log flip3-+ add-cbrt-cube add-exp-log flip-+ log1p-expm1-u distribute-lft-out
Counts
1 → 17
Calls
1 calls:
18.0ms
(+ x (/ 1.0 3.0))

series35.0ms

Counts
1 → 3
Calls
1 calls:
35.0ms
(+ x (/ 1.0 3.0))

simplify1.8s

Counts
20 → 20
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
0302832
1832436
22262411
36262411
419022411
done50012411

prune84.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ x (/ 1.0 3.0)))
0.0b
(+ x (/ 1.0 3.0))
0.0b
(+ x (/ 1.0 3.0))
0.1b
(* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))))

rewrite137.0ms

Algorithm
rewrite-expression-head
Rules
35×*-un-lft-identity
33×add-sqr-sqrt
30×sqrt-prod
20×pow1
15×add-cube-cbrt
14×sqrt-div
11×swap-sqr
9×sqrt-pow1 flip3-+ pow1/2 flip-+ distribute-lft-out
8×add-log-exp
7×associate-*r* associate-*l*
6×fma-def add-cbrt-cube add-exp-log
5×pow-prod-up
4×expm1-log1p-u frac-times log1p-expm1-u unswap-sqr
3×pow-prod-down pow-sqr
2×+-commutative sum-log associate-*l/ associate-*r/ hypot-def
1×pow2 rem-sqrt-square rem-square-sqrt times-frac pow-plus sqrt-unprod prod-exp *-commutative cbrt-unprod
Counts
4 → 118
Calls
4 calls:
26.0ms
(sqrt (+ x (/ 1.0 3.0)))
11.0ms
(+ x (/ 1.0 3.0))
14.0ms
(+ x (/ 1.0 3.0))
81.0ms
(* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))))

series150.0ms

Counts
4 → 12
Calls
4 calls:
56.0ms
(sqrt (+ x (/ 1.0 3.0)))
30.0ms
(+ x (/ 1.0 3.0))
30.0ms
(+ x (/ 1.0 3.0))
33.0ms
(* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))))

simplify1.1s

Counts
130 → 130
Iterations

Useful iterations: done (1.1s)

IterNodesCost
011529444
126521185
2117020703
done500020670

prune411.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(log (+ x (/ 1.0 3.0)))
0.0b
(+ x (/ 1.0 3.0))
1.5b
(exp (log (+ x (/ 1.0 3.0))))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
13×*-un-lft-identity
8×log-prod
7×add-sqr-sqrt add-cube-cbrt
5×pow1 add-log-exp
4×log-div exp-prod exp-sum add-exp-log
3×expm1-log1p-u fma-def flip3-+ add-cbrt-cube flip-+ log1p-expm1-u distribute-lft-out
2×exp-diff log-pow
1×+-commutative sum-log rem-log-exp rem-exp-log
Counts
3 → 54
Calls
3 calls:
8.0ms
(log (+ x (/ 1.0 3.0)))
12.0ms
(+ x (/ 1.0 3.0))
10.0ms
(exp (log (+ x (/ 1.0 3.0))))

series83.0ms

Counts
3 → 9
Calls
3 calls:
45.0ms
(log (+ x (/ 1.0 3.0)))
19.0ms
(+ x (/ 1.0 3.0))
20.0ms
(exp (log (+ x (/ 1.0 3.0))))

simplify1.7s

Counts
63 → 63
Iterations

Useful iterations: 3 (754.0ms)

IterNodesCost
09316525
120311384
267111132
3343811107
done500011107

prune262.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))
0.1b
(fma (* x x) x (* (/ 1.0 3.0) (* (/ 1.0 3.0) (/ 1.0 3.0))))
0.3b
(* x (/ 1.0 3.0))
20.0b
(/ (fma (* x x) x (* (/ 1.0 3.0) (* (/ 1.0 3.0) (/ 1.0 3.0)))) (+ (* x x) (- (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))))

rewrite81.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
20×*-un-lft-identity add-cube-cbrt
19×times-frac
13×associate-*r*
11×add-cbrt-cube add-exp-log
8×associate-*r/
6×pow1 add-log-exp
4×expm1-log1p-u log1p-expm1-u
3×associate-/r* associate-*l* frac-sub associate-/l*
2×cbrt-undiv div-exp associate-*l/ prod-exp associate-/r/ cbrt-unprod div-inv sub-div unswap-sqr
1×frac-times clear-num sub-neg frac-2neg flip3-+ flip3-- distribute-rgt-out-- fma-neg diff-log prod-diff pow-prod-down *-commutative flip-+ fma-udef flip--
Counts
4 → 97
Calls
4 calls:
12.0ms
(- (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))
0.0ms
(fma (* x x) x (* (/ 1.0 3.0) (* (/ 1.0 3.0) (/ 1.0 3.0))))
11.0ms
(* x (/ 1.0 3.0))
54.0ms
(/ (fma (* x x) x (* (/ 1.0 3.0) (* (/ 1.0 3.0) (/ 1.0 3.0)))) (+ (* x x) (- (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))))

series412.0ms

Counts
4 → 12
Calls
4 calls:
51.0ms
(- (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))
114.0ms
(fma (* x x) x (* (/ 1.0 3.0) (* (/ 1.0 3.0) (/ 1.0 3.0))))
33.0ms
(* x (/ 1.0 3.0))
212.0ms
(/ (fma (* x x) x (* (/ 1.0 3.0) (* (/ 1.0 3.0) (/ 1.0 3.0)))) (+ (* x x) (- (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))))

simplify1.7s

Counts
109 → 109
Iterations

Useful iterations: done (1.7s)

IterNodesCost
018133332
145930670
2186429938
done500029503

prune619.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes85.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0583
1683
done683

end0.0ms

sample305.0ms

Algorithm
intervals
Results
145.0ms8000×body80valid