Details

Time bar (total: 11.5s)

sample15.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify3.0ms

Counts
1 → 1
Iterations
IterNodes
done6
16
05

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ x (/ 1.0 3.0))

rewrite7.0ms

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-+ insert-posit16 log1p-expm1-u distribute-lft-out
Counts
1 → 18
Calls
1 calls:
6.0ms
(+ x (/ 1.0 3.0))

series20.0ms

Counts
1 → 3
Calls
1 calls:
20.0ms
(+ x (/ 1.0 3.0))

simplify2.8s

Counts
21 → 21
Iterations
IterNodes
done5000
54370
41491
3554
2227
184
031

prune54.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

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))))

rewrite60.0ms

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 insert-posit16 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 → 122
Calls
4 calls:
10.0ms
(sqrt (+ x (/ 1.0 3.0)))
6.0ms
(+ x (/ 1.0 3.0))
6.0ms
(+ x (/ 1.0 3.0))
36.0ms
(* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))))

series97.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(sqrt (+ x (/ 1.0 3.0)))
19.0ms
(+ x (/ 1.0 3.0))
20.0ms
(+ x (/ 1.0 3.0))
22.0ms
(* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))))

simplify1.5s

Counts
134 → 134
Iterations
IterNodes
done5001
31917
2638
1264
0118

prune329.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize14.0ms

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))) (fabs (sqrt (+ x (/ 1.0 3.0)))))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
18×*-un-lft-identity
10×add-cube-cbrt
9×sqrt-prod
8×add-log-exp
7×pow1 associate-*l*
6×fma-def add-cbrt-cube add-exp-log
4×expm1-log1p-u flip3-+ sqrt-div flip-+ insert-posit16 log1p-expm1-u distribute-lft-out
3×associate-*r*
2×+-commutative sum-log associate-*l/ hypot-def unswap-sqr
1×rem-sqrt-square sqrt-pow1 times-frac pow1/2 pow-prod-down prod-exp *-commutative cbrt-unprod
Counts
4 → 85
Calls
4 calls:
8.0ms
(sqrt (+ x (/ 1.0 3.0)))
7.0ms
(+ x (/ 1.0 3.0))
6.0ms
(+ x (/ 1.0 3.0))
24.0ms
(* (sqrt (+ x (/ 1.0 3.0))) (fabs (sqrt (+ x (/ 1.0 3.0)))))

series144.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(sqrt (+ x (/ 1.0 3.0)))
27.0ms
(+ x (/ 1.0 3.0))
26.0ms
(+ x (/ 1.0 3.0))
47.0ms
(* (sqrt (+ x (/ 1.0 3.0))) (fabs (sqrt (+ x (/ 1.0 3.0)))))

simplify1.8s

Counts
97 → 97
Iterations
IterNodes
done5000
32631
2797
1289
0122

prune365.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

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

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
47×sqrt-prod
40×add-sqr-sqrt *-un-lft-identity
36×times-frac add-cube-cbrt
8×add-cbrt-cube add-exp-log
7×associate-*l*
6×pow1 associate-/r* associate-/l* add-log-exp
4×expm1-log1p-u insert-posit16 log1p-expm1-u
3×fma-def associate-*r*
2×hypot-udef flip3-+ sqrt-div associate-*l/ flip-+ distribute-lft-out unswap-sqr
1×cbrt-undiv +-commutative sqrt-undiv clear-num sum-log frac-2neg sqrt-unprod div-exp pow-prod-down prod-exp *-commutative cbrt-unprod div-inv
Counts
4 → 122
Calls
4 calls:
0.0ms
(hypot (sqrt x) (/ (sqrt 1.0) (sqrt 3.0)))
9.0ms
(+ x (/ 1.0 3.0))
36.0ms
(* (sqrt (+ x (/ 1.0 3.0))) (hypot (sqrt x) (/ (sqrt 1.0) (sqrt 3.0))))
8.0ms
(/ (sqrt 1.0) (sqrt 3.0))

series1.3s

Counts
4 → 10
Calls
4 calls:
401.0ms
(hypot (sqrt x) (/ (sqrt 1.0) (sqrt 3.0)))
20.0ms
(+ x (/ 1.0 3.0))
839.0ms
(* (sqrt (+ x (/ 1.0 3.0))) (hypot (sqrt x) (/ (sqrt 1.0) (sqrt 3.0))))
0.0ms
(/ (sqrt 1.0) (sqrt 3.0))

simplify1.7s

Counts
132 → 132
Iterations
IterNodes
done5001
21709
1530
0231

prune426.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes40.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done6
16
05

end0.0ms

sample723.0ms

Algorithm
intervals
Results
324.0ms8000×body80valid