Details

Time bar (total: 5.4s)

sample15.0ms

Algorithm
intervals
Results
9.0ms256×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

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ x (/ 1.0 3.0))

rewrite8.0ms

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:
8.0ms
(+ x (/ 1.0 3.0))

series23.0ms

Counts
1 → 3
Calls
1 calls:
23.0ms
(+ x (/ 1.0 3.0))

simplify652.0ms

Counts
21 → 21
Iterations
IterNodes
done2000
41491
3554
2227
184
031

prune85.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

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))))

rewrite17.0ms

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-+ insert-posit16 log1p-expm1-u distribute-lft-out
2×exp-diff log-pow
1×+-commutative sum-log rem-log-exp rem-exp-log
Counts
3 → 57
Calls
3 calls:
4.0ms
(log (+ x (/ 1.0 3.0)))
6.0ms
(+ x (/ 1.0 3.0))
6.0ms
(exp (log (+ x (/ 1.0 3.0))))

series128.0ms

Counts
3 → 9
Calls
3 calls:
70.0ms
(log (+ x (/ 1.0 3.0)))
29.0ms
(+ x (/ 1.0 3.0))
29.0ms
(exp (log (+ x (/ 1.0 3.0))))

simplify692.0ms

Counts
66 → 66
Iterations
IterNodes
done2000
31226
2497
1206
096

prune193.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma x (- x (/ 1.0 3.0)) (* (/ 1.0 3.0) (/ 1.0 3.0)))
0.0b
(- x (/ 1.0 3.0))
0.0b
(fma (* x x) x (* (/ 1.0 3.0) (* (/ 1.0 3.0) (/ 1.0 3.0))))
19.1b
(/ (fma (* x x) x (* (/ 1.0 3.0) (* (/ 1.0 3.0) (/ 1.0 3.0)))) (fma x (- x (/ 1.0 3.0)) (* (/ 1.0 3.0) (/ 1.0 3.0))))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
52×add-sqr-sqrt
49×*-un-lft-identity
47×add-cube-cbrt
39×prod-diff
37×times-frac
6×add-cbrt-cube add-exp-log add-log-exp
4×expm1-log1p-u pow1 insert-posit16 log1p-expm1-u div-inv
3×associate-/r* fma-neg associate-/l*
2×fma-udef difference-of-squares
1×cbrt-undiv clear-num sub-neg frac-2neg flip3-- diff-log div-exp flip-- distribute-lft-out--
Counts
4 → 112
Calls
4 calls:
0.0ms
(fma x (- x (/ 1.0 3.0)) (* (/ 1.0 3.0) (/ 1.0 3.0)))
7.0ms
(- x (/ 1.0 3.0))
0.0ms
(fma (* x x) x (* (/ 1.0 3.0) (* (/ 1.0 3.0) (/ 1.0 3.0))))
4.0ms
(/ (fma (* x x) x (* (/ 1.0 3.0) (* (/ 1.0 3.0) (/ 1.0 3.0)))) (fma x (- x (/ 1.0 3.0)) (* (/ 1.0 3.0) (/ 1.0 3.0))))

series362.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(fma x (- x (/ 1.0 3.0)) (* (/ 1.0 3.0) (/ 1.0 3.0)))
27.0ms
(- x (/ 1.0 3.0))
79.0ms
(fma (* x x) x (* (/ 1.0 3.0) (* (/ 1.0 3.0) (/ 1.0 3.0))))
228.0ms
(/ (fma (* x x) x (* (/ 1.0 3.0) (* (/ 1.0 3.0) (/ 1.0 3.0)))) (fma x (- x (/ 1.0 3.0)) (* (/ 1.0 3.0) (/ 1.0 3.0))))

simplify592.0ms

Counts
124 → 124
Iterations
IterNodes
done2000
21252
1503
0227

prune436.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma x (- x (/ 1.0 3.0)) (* (/ 1.0 3.0) (/ 1.0 3.0)))
0.0b
(fma (* x x) x (* (/ 1.0 3.0) (* (/ 1.0 3.0) (/ 1.0 3.0))))
0.5b
(/ 1 (fma x (- x (/ 1.0 3.0)) (* (/ 1.0 3.0) (/ 1.0 3.0))))
19.1b
(* (fma (* x x) x (* (/ 1.0 3.0) (* (/ 1.0 3.0) (/ 1.0 3.0)))) (/ 1 (fma x (- x (/ 1.0 3.0)) (* (/ 1.0 3.0) (/ 1.0 3.0)))))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt
21×*-un-lft-identity
20×times-frac add-cube-cbrt
17×add-exp-log
13×associate-*r*
11×add-cbrt-cube
7×pow1
4×expm1-log1p-u div-exp prod-exp insert-posit16 log1p-expm1-u add-log-exp
3×associate-/r* associate-*l* associate-/l* unswap-sqr
2×cbrt-undiv rec-exp 1-exp cbrt-unprod fma-udef div-inv
1×clear-num frac-2neg pow-prod-down associate-*r/ un-div-inv *-commutative pow-flip inv-pow
Counts
4 → 95
Calls
4 calls:
0.0ms
(fma x (- x (/ 1.0 3.0)) (* (/ 1.0 3.0) (/ 1.0 3.0)))
0.0ms
(fma (* x x) x (* (/ 1.0 3.0) (* (/ 1.0 3.0) (/ 1.0 3.0))))
6.0ms
(/ 1 (fma x (- x (/ 1.0 3.0)) (* (/ 1.0 3.0) (/ 1.0 3.0))))
13.0ms
(* (fma (* x x) x (* (/ 1.0 3.0) (* (/ 1.0 3.0) (/ 1.0 3.0)))) (/ 1 (fma x (- x (/ 1.0 3.0)) (* (/ 1.0 3.0) (/ 1.0 3.0)))))

series505.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(fma x (- x (/ 1.0 3.0)) (* (/ 1.0 3.0) (/ 1.0 3.0)))
109.0ms
(fma (* x x) x (* (/ 1.0 3.0) (* (/ 1.0 3.0) (/ 1.0 3.0))))
90.0ms
(/ 1 (fma x (- x (/ 1.0 3.0)) (* (/ 1.0 3.0) (/ 1.0 3.0))))
262.0ms
(* (fma (* x x) x (* (/ 1.0 3.0) (* (/ 1.0 3.0) (/ 1.0 3.0)))) (/ 1 (fma x (- x (/ 1.0 3.0)) (* (/ 1.0 3.0) (/ 1.0 3.0)))))

simplify685.0ms

Counts
107 → 107
Iterations
IterNodes
done2000
2812
1295
0139

prune335.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes59.0ms

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

sample455.0ms

Algorithm
intervals
Results
333.0ms8000×body80valid