Details

Time bar (total: 8.9s)

sample15.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify196.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079
1159
2369
3749
41239
51559
61679
71709
done1709

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.6b

localize12.0ms

Local error

Found 1 expressions with local error:

13.3b
(/ (* (* x 2.0) y) (- x y))

rewrite49.0ms

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:
48.0ms
(/ (* (* x 2.0) y) (- x y))

series96.0ms

Counts
1 → 3
Calls
1 calls:
96.0ms
(/ (* (* x 2.0) y) (- x y))

simplify1.3s

Counts
34 → 34
Iterations

Useful iterations: 2 (177.0ms)

IterNodesCost
079420
1211400
2995334
done5000334

prune62.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- x y))
7.2b
(* (* x 2.0) (/ y (- x y)))

rewrite60.0ms

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:
14.0ms
(/ y (- x y))
43.0ms
(* (* x 2.0) (/ y (- x y)))

series169.0ms

Counts
2 → 6
Calls
2 calls:
80.0ms
(/ y (- x y))
88.0ms
(* (* x 2.0) (/ y (- x y)))

simplify1.7s

Counts
88 → 88
Iterations

Useful iterations: 2 (279.0ms)

IterNodesCost
0120947
1304888
21244788
done5000788

prune178.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- x y) y)
8.0b
(/ (* x 2.0) (/ (- x y) y))

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
64×times-frac
50×add-sqr-sqrt *-un-lft-identity
30×add-cube-cbrt
22×associate-/r*
16×add-exp-log add-cbrt-cube
10×distribute-lft-out-- difference-of-squares
7×cbrt-undiv div-exp
6×associate-/l*
4×div-inv
2×pow1 expm1-log1p-u frac-2neg prod-exp clear-num cbrt-unprod log1p-expm1-u associate-/l/ add-log-exp
1×flip3-- div-sub associate-/r/ flip--
Counts
2 → 100
Calls
2 calls:
30.0ms
(/ (- x y) y)
36.0ms
(/ (* x 2.0) (/ (- x y) y))

series120.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(/ (- x y) y)
87.0ms
(/ (* x 2.0) (/ (- x y) y))

simplify1.5s

Counts
106 → 106
Iterations

Useful iterations: done (1.5s)

IterNodesCost
01551282
13771208
213241094
done50001092

prune262.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ -1 (/ x y))
8.0b
(/ x (/ (+ -1 (/ x y)) 2.0))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
96×times-frac
78×*-un-lft-identity
52×add-sqr-sqrt add-cube-cbrt
16×associate-/r*
13×distribute-lft-out
7×add-exp-log add-cbrt-cube
5×div-inv
4×add-log-exp
3×cbrt-undiv fma-def div-exp associate-/l*
2×pow1 expm1-log1p-u log1p-expm1-u
1×+-commutative frac-2neg flip3-+ clear-num sum-log associate-/r/ flip-+
Counts
2 → 101
Calls
2 calls:
11.0ms
(+ -1 (/ x y))
37.0ms
(/ x (/ (+ -1 (/ x y)) 2.0))

series103.0ms

Counts
2 → 6
Calls
2 calls:
20.0ms
(+ -1 (/ x y))
83.0ms
(/ x (/ (+ -1 (/ x y)) 2.0))

simplify2.1s

Counts
107 → 107
Iterations

Useful iterations: 3 (1.2s)

IterNodesCost
01721669
13861555
211721480
336701477
done50001477

prune241.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes116.0ms

Accuracy

92% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 7.4b

bsearch1.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02693
13093
done3093

end0.0ms

sample466.0ms

Algorithm
intervals
Results
231.0ms8000×body80valid