Details

Time bar (total: 2.9s)

sample13.0ms

Algorithm
intervals
Results
5.0ms256×body80valid

simplify16.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0154
1364
2734
31274
41674
51854
61874
71874
done1874

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.8b

localize5.0ms

Local error

Found 1 expressions with local error:

13.4b
(/ (* (* x 2.0) y) (- x y))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
10×add-exp-log add-cbrt-cube
7×add-sqr-sqrt *-un-lft-identity
5×times-frac associate-/r*
3×cbrt-undiv add-cube-cbrt div-exp prod-exp cbrt-unprod
2×associate-/r/ distribute-lft-out-- difference-of-squares
1×pow1 expm1-log1p-u flip3-- frac-2neg clear-num flip-- log1p-expm1-u div-inv associate-/l* add-log-exp
Counts
1 → 31
Calls
1 calls:
25.0ms
(/ (* (* x 2.0) y) (- x y))

series81.0ms

Counts
1 → 3
Calls
1 calls:
81.0ms
(/ (* (* x 2.0) y) (- x y))

simplify31.0ms

Counts
34 → 34
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0214194
11150161
25001161
done5001161

prune54.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- x y))
7.8b
(* (* x 2.0) (/ y (- x y)))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
35×add-sqr-sqrt *-un-lft-identity
30×times-frac
21×add-cube-cbrt associate-*r*
16×add-exp-log add-cbrt-cube
7×pow1 distribute-lft-out-- difference-of-squares
6×prod-exp cbrt-unprod
5×associate-/r*
4×associate-/r/
3×cbrt-undiv div-exp pow-prod-down associate-/l*
2×expm1-log1p-u flip3-- flip-- log1p-expm1-u div-inv add-log-exp
1×frac-2neg associate-*r/ associate-*l* clear-num *-commutative
Counts
2 → 82
Calls
2 calls:
10.0ms
(/ y (- x y))
34.0ms
(* (* x 2.0) (/ y (- x y)))

series105.0ms

Counts
2 → 6
Calls
2 calls:
43.0ms
(/ y (- x y))
62.0ms
(* (* x 2.0) (/ y (- x y)))

simplify42.0ms

Counts
88 → 88
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0315451
11665401
25001401
done5001401

prune131.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
1.6b
(* (* x 2.0) (/ (* (cbrt y) (cbrt y)) (* (cbrt (- x y)) (cbrt (- x y)))))

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
45×add-exp-log
29×add-cbrt-cube
23×prod-exp cbrt-unprod
13×associate-*r*
12×cbrt-div
9×pow1 cbrt-prod
8×cbrt-undiv add-sqr-sqrt add-cube-cbrt *-un-lft-identity div-exp associate-/r/
6×flip3-- flip--
4×expm1-log1p-u frac-times log1p-expm1-u add-log-exp
3×pow1/3 associate-*r/ pow-prod-down
2×associate-*l/
1×times-frac associate-*l* *-commutative div-inv
Counts
4 → 86
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)
73.0ms
(* (* x 2.0) (/ (* (cbrt y) (cbrt y)) (* (cbrt (- x y)) (cbrt (- x y)))))

series794.0ms

Counts
4 → 12
Calls
4 calls:
177.0ms
(cbrt y)
169.0ms
(cbrt y)
174.0ms
(cbrt y)
273.0ms
(* (* x 2.0) (/ (* (cbrt y) (cbrt y)) (* (cbrt (- x y)) (cbrt (- x y)))))

simplify67.0ms

Counts
98 → 98
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
0499853
12511647
25001585
done5001585

prune238.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(expm1 (/ y (- x y)))
0.0b
(log1p (expm1 (/ y (- x y))))
0.0b
(/ y (- x y))
7.8b
(* (* x 2.0) (log1p (expm1 (/ y (- x y)))))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt *-un-lft-identity
15×add-cube-cbrt times-frac
11×add-exp-log add-cbrt-cube
9×pow1
5×associate-/r* log1p-expm1-u
4×expm1-log1p-u distribute-lft-out-- add-log-exp difference-of-squares
3×associate-*r* pow-prod-down prod-exp cbrt-unprod associate-/l*
2×associate-/r/
1×cbrt-undiv log1p-udef expm1-log1p flip3-- frac-2neg log1p-expm1 div-exp associate-*l* clear-num *-commutative flip-- div-inv expm1-udef
Counts
4 → 81
Calls
4 calls:
0.0ms
(expm1 (/ y (- x y)))
0.0ms
(log1p (expm1 (/ y (- x y))))
10.0ms
(/ y (- x y))
21.0ms
(* (* x 2.0) (log1p (expm1 (/ y (- x y)))))

series334.0ms

Counts
4 → 12
Calls
4 calls:
96.0ms
(expm1 (/ y (- x y)))
96.0ms
(log1p (expm1 (/ y (- x y))))
43.0ms
(/ y (- x y))
99.0ms
(* (* x 2.0) (log1p (expm1 (/ y (- x y)))))

simplify134.0ms

Counts
93 → 93
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0246444
1974378
24815378
35001378
done5001378

prune183.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes72.0ms

Accuracy

0% (2.4b remaining)

Error of 2.4b against oracle of 0.1b and baseline of 2.4b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01616
11616
done1616

end0.0ms

sample342.0ms

Algorithm
intervals
Results
173.0ms8000×body80valid