Details

Time bar (total: 20.4s)

sample24.0ms

Algorithm
intervals
Results
14.0ms353×body80valid

simplify31.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06123
110123
223123
344123
458123
done58123

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 1 expressions with local error:

0.1b
(* x (- 1.0 (* x y)))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt
6×prod-diff
5×distribute-rgt-in *-un-lft-identity distribute-lft-in add-cube-cbrt
3×pow1 add-cbrt-cube associate-*r* associate-*l* add-exp-log
2×sub-neg associate-*r/
1×expm1-log1p-u flip3-- pow-prod-down prod-exp *-commutative cbrt-unprod log1p-expm1-u flip-- add-log-exp unswap-sqr
Counts
1 → 32
Calls
1 calls:
28.0ms
(* x (- 1.0 (* x y)))

series55.0ms

Counts
1 → 3
Calls
1 calls:
55.0ms
(* x (- 1.0 (* x y)))

simplify3.5s

Counts
35 → 35
Iterations

Useful iterations: done (3.5s)

IterNodesCost
0718636
11657751
24967329
322476889
done50016089

prune151.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt x) (cbrt x))
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×*-un-lft-identity add-cube-cbrt
11×pow1
9×pow1/3
6×swap-sqr associate-*r* associate-*l* add-exp-log
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
9.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series1.1s

Counts
4 → 12
Calls
4 calls:
352.0ms
(* (cbrt x) (cbrt x))
261.0ms
(cbrt x)
269.0ms
(cbrt x)
241.0ms
(cbrt x)

simplify4.5s

Counts
93 → 93
Iterations

Useful iterations: 3 (421.0ms)

IterNodesCost
06518502
114015989
238215714
3107215034
4410815034
done500015034

prune534.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- 1.0 (* x y)))
0.0b
(sqrt (- 1.0 (* x y)))
0.1b
(* x (sqrt (- 1.0 (* x y))))
0.1b
(* (* x (sqrt (- 1.0 (* x y)))) (sqrt (- 1.0 (* x y))))

rewrite83.0ms

Algorithm
rewrite-expression-head
Rules
18×sqrt-div
17×add-sqr-sqrt
13×pow1 sqrt-prod
12×associate-*r*
11×*-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt
10×associate-*r/
9×flip3-- flip--
4×expm1-log1p-u frac-times associate-*l* pow-prod-down prod-exp cbrt-unprod log1p-expm1-u add-log-exp
2×rem-sqrt-square sqrt-pow1 pow1/2 associate-*l/ *-commutative unswap-sqr
Counts
4 → 91
Calls
4 calls:
5.0ms
(sqrt (- 1.0 (* x y)))
6.0ms
(sqrt (- 1.0 (* x y)))
30.0ms
(* x (sqrt (- 1.0 (* x y))))
39.0ms
(* (* x (sqrt (- 1.0 (* x y)))) (sqrt (- 1.0 (* x y))))

series547.0ms

Counts
4 → 12
Calls
4 calls:
160.0ms
(sqrt (- 1.0 (* x y)))
147.0ms
(sqrt (- 1.0 (* x y)))
184.0ms
(* x (sqrt (- 1.0 (* x y))))
57.0ms
(* (* x (sqrt (- 1.0 (* x y)))) (sqrt (- 1.0 (* x y))))

simplify1.8s

Counts
103 → 103
Iterations

Useful iterations: done (1.8s)

IterNodesCost
014033634
137925387
2131724588
done500524198

prune512.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

localize48.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* x (sqrt (- 1.0 (* x y)))) (* (fabs (cbrt (- 1.0 (* x y)))) (sqrt (cbrt (- 1.0 (* x y))))))
0.1b
(* (fabs (cbrt (- 1.0 (* x y)))) (sqrt (cbrt (- 1.0 (* x y)))))
0.2b
(cbrt (- 1.0 (* x y)))
0.2b
(cbrt (- 1.0 (* x y)))

rewrite115.0ms

Algorithm
rewrite-expression-head
Rules
18×pow1 add-cbrt-cube add-exp-log
16×add-sqr-sqrt associate-*r/
14×sqrt-div
12×cbrt-div
10×cbrt-prod *-un-lft-identity associate-*r* add-cube-cbrt
9×flip3-- pow-prod-down prod-exp cbrt-unprod flip--
8×sqrt-prod
4×expm1-log1p-u frac-times associate-*l* log1p-expm1-u add-log-exp
3×unswap-sqr
2×pow1/3 associate-*l/ *-commutative
Counts
4 → 92
Calls
4 calls:
61.0ms
(* (* x (sqrt (- 1.0 (* x y)))) (* (fabs (cbrt (- 1.0 (* x y)))) (sqrt (cbrt (- 1.0 (* x y))))))
38.0ms
(* (fabs (cbrt (- 1.0 (* x y)))) (sqrt (cbrt (- 1.0 (* x y)))))
5.0ms
(cbrt (- 1.0 (* x y)))
6.0ms
(cbrt (- 1.0 (* x y)))

series2.0s

Counts
4 → 12
Calls
4 calls:
455.0ms
(* (* x (sqrt (- 1.0 (* x y)))) (* (fabs (cbrt (- 1.0 (* x y)))) (sqrt (cbrt (- 1.0 (* x y))))))
468.0ms
(* (fabs (cbrt (- 1.0 (* x y)))) (sqrt (cbrt (- 1.0 (* x y)))))
311.0ms
(cbrt (- 1.0 (* x y)))
727.0ms
(cbrt (- 1.0 (* x y)))

simplify3.6s

Counts
104 → 104
Iterations

Useful iterations: done (3.6s)

IterNodesCost
025357029
172947006
2281346525
done500145985

prune760.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0b

regimes227.0ms

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
06123
18123
done8123

end0.0ms

sample716.0ms

Algorithm
intervals
Results
417.0ms10638×body80valid