Details

Time bar (total: 10.3s)

sample30.0ms

Algorithm
intervals
Results
13.0ms256×body80valid

simplify202.0ms

Counts
1 → 1
Iterations
IterNodes
done174
8174
7170
6160
5136
488
348
227
115
07

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.1b

localize10.0ms

Local error

Found 1 expressions with local error:

12.8b
(/ (* (* x 2.0) y) (- x y))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
10×add-cbrt-cube add-exp-log
7×add-sqr-sqrt *-un-lft-identity
5×associate-/r* times-frac
3×cbrt-undiv div-exp prod-exp add-cube-cbrt cbrt-unprod
2×associate-/r/ distribute-lft-out-- difference-of-squares
1×pow1 clear-num frac-2neg flip3-- div-inv flip-- associate-/l* add-log-exp
Counts
1 → 29
Calls
1 calls:
28.0ms
(/ (* (* x 2.0) y) (- x y))

series86.0ms

Counts
1 → 3
Calls
1 calls:
86.0ms
(/ (* (* x 2.0) y) (- x y))

simplify1.4s

Counts
32 → 32
Iterations
IterNodes
done5000
2877
1219
077

prune172.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- x y))
0.6b
(cbrt (- x y))
0.6b
(cbrt (- x y))
6.3b
(* (/ (* x 2.0) (* (cbrt (- x y)) (cbrt (- x y)))) (/ y (cbrt (- x y))))

rewrite124.0ms

Algorithm
rewrite-expression-head
Rules
45×add-exp-log
43×add-sqr-sqrt
35×*-un-lft-identity
32×add-cbrt-cube
31×cbrt-prod
30×associate-*r*
27×times-frac
23×add-cube-cbrt
20×cbrt-div
18×prod-exp cbrt-unprod
13×cbrt-undiv div-exp associate-*l*
10×flip3-- associate-/r/ flip--
6×pow1 distribute-lft-out-- difference-of-squares
5×frac-times
4×add-log-exp
3×pow1/3 associate-*l/ associate-*r/ unswap-sqr
2×div-inv
1×pow-prod-down *-commutative
Counts
4 → 123
Calls
4 calls:
3.0ms
(cbrt (- x y))
3.0ms
(cbrt (- x y))
7.0ms
(cbrt (- x y))
106.0ms
(* (/ (* x 2.0) (* (cbrt (- x y)) (cbrt (- x y)))) (/ y (cbrt (- x y))))

series606.0ms

Counts
4 → 12
Calls
4 calls:
164.0ms
(cbrt (- x y))
178.0ms
(cbrt (- x y))
172.0ms
(cbrt (- x y))
91.0ms
(* (/ (* x 2.0) (* (cbrt (- x y)) (cbrt (- x y)))) (/ y (cbrt (- x y))))

simplify2.1s

Counts
135 → 135
Iterations
IterNodes
done5000
23058
1622
0213

prune698.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
35×add-sqr-sqrt *-un-lft-identity
30×times-frac
21×associate-*r* add-cube-cbrt
16×add-cbrt-cube add-exp-log
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×flip3-- div-inv flip-- add-log-exp
1×clear-num frac-2neg associate-*l* associate-*r/ *-commutative
Counts
2 → 78
Calls
2 calls:
14.0ms
(/ y (- x y))
43.0ms
(* (* 2.0 x) (/ y (- x y)))

series179.0ms

Counts
2 → 6
Calls
2 calls:
74.0ms
(/ y (- x y))
105.0ms
(* (* 2.0 x) (/ y (- x y)))

simplify1.5s

Counts
84 → 84
Iterations
IterNodes
done5001
21185
1325
0116

prune383.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
64×times-frac
50×add-sqr-sqrt *-un-lft-identity
30×add-cube-cbrt
22×associate-/r*
16×add-cbrt-cube add-exp-log
10×distribute-lft-out-- difference-of-squares
7×cbrt-undiv div-exp
6×associate-/l*
4×div-inv
2×pow1 clear-num frac-2neg prod-exp cbrt-unprod add-log-exp associate-/l/
1×flip3-- div-sub associate-/r/ flip--
Counts
2 → 96
Calls
2 calls:
19.0ms
(/ (- x y) y)
22.0ms
(/ (* x 2.0) (/ (- x y) y))

series109.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(/ (- x y) y)
78.0ms
(/ (* x 2.0) (/ (- x y) y))

simplify1.3s

Counts
102 → 102
Iterations
IterNodes
done5000
21363
1415
0151

prune431.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes115.0ms

Accuracy

93.1% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 7.2b

bsearch77.0ms

Steps
ItersRangePoint
7
1.1799038613984208e-111
3.675373565137037e-110
3.623788386587476e-110
11
-55576812.421804816
-5.808948663910877e-13
-5.017767382818573e-05

simplify3.0ms

Iterations
IterNodes
done22
122
016

end0.0ms

sample599.0ms

Algorithm
intervals
Results
406.0ms8000×body80valid