Details

Time bar (total: 10.8s)

sample295.0ms

Algorithm
intervals
Results
31.0ms563×body80valid

simplify943.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
02229
15129
215029
358029
4260729
done500029

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.7b

localize20.0ms

Local error

Found 4 expressions with local error:

2.7b
(* (* (* w w) r) r)
5.0b
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
6.4b
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
12.3b
(* (* w w) r)

rewrite224.0ms

Algorithm
rewrite-expression-head
Rules
92×add-exp-log add-cbrt-cube
57×prod-exp cbrt-unprod
50×pow1
33×pow-prod-down
13×add-sqr-sqrt
12×*-un-lft-identity
9×cbrt-undiv div-exp
8×add-cube-cbrt
7×associate-*r*
5×times-frac associate-/r*
4×associate-*r/ associate-*l/ add-log-exp
3×flip3-- associate-*l* *-commutative flip--
2×associate-/r/ associate-/l/ distribute-lft-out-- difference-of-squares
1×frac-2neg clear-num div-inv associate-/l* unswap-sqr
Counts
4 → 119
Calls
4 calls:
27.0ms
(* (* (* w w) r) r)
85.0ms
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
94.0ms
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
10.0ms
(* (* w w) r)

series218.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(* (* (* w w) r) r)
86.0ms
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
74.0ms
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
26.0ms
(* (* w w) r)

simplify1.6s

Counts
131 → 131
Iterations

Useful iterations: 2 (271.0ms)

IterNodesCost
02032751
16662663
236331923
done50001923

prune274.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 2.9b

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ 2.0 (* r r))
2.7b
(* (* w (* w r)) r)
5.0b
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* w (* w r)) r))
6.4b
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* w (* w r)) r)) (- 1.0 v))

rewrite159.0ms

Algorithm
rewrite-expression-head
Rules
92×add-exp-log add-cbrt-cube
55×prod-exp cbrt-unprod
45×pow1
30×pow-prod-down
13×add-sqr-sqrt *-un-lft-identity
11×cbrt-undiv div-exp
9×add-cube-cbrt
8×times-frac
6×associate-/r*
4×associate-*r/ associate-*r* associate-*l/ associate-/l* add-log-exp
3×flip3-- flip--
2×frac-2neg associate-*l* clear-num associate-/r/ *-commutative div-inv associate-/l/ distribute-lft-out-- difference-of-squares
Counts
4 → 121
Calls
4 calls:
3.0ms
(/ 2.0 (* r r))
20.0ms
(* (* w (* w r)) r)
61.0ms
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* w (* w r)) r))
69.0ms
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* w (* w r)) r)) (- 1.0 v))

series209.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(/ 2.0 (* r r))
35.0ms
(* (* w (* w r)) r)
80.0ms
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* w (* w r)) r))
71.0ms
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* w (* w r)) r)) (- 1.0 v))

simplify1.6s

Counts
133 → 133
Iterations

Useful iterations: 2 (276.0ms)

IterNodesCost
02302773
17382687
240501939
done50001939

prune305.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 1.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (- 1.0 v) (* (* w (* w r)) r))
0.2b
(/ 2.0 (* r r))
2.7b
(* (* w (* w r)) r)
4.7b
(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (* (* w (* w r)) r)))

rewrite83.0ms

Algorithm
rewrite-expression-head
Rules
77×add-exp-log add-cbrt-cube
30×prod-exp cbrt-unprod
27×times-frac
24×cbrt-undiv div-exp
21×add-sqr-sqrt *-un-lft-identity
13×pow1 add-cube-cbrt
11×associate-/r*
9×associate-/l*
6×pow-prod-down
5×div-inv
4×associate-/l/ distribute-lft-out-- add-log-exp difference-of-squares
3×frac-2neg associate-*r* clear-num
2×flip3-- associate-*r/ flip--
1×div-sub associate-*l* associate-/r/ *-commutative
Counts
4 → 126
Calls
4 calls:
24.0ms
(/ (- 1.0 v) (* (* w (* w r)) r))
3.0ms
(/ 2.0 (* r r))
18.0ms
(* (* w (* w r)) r)
32.0ms
(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (* (* w (* w r)) r)))

series183.0ms

Counts
4 → 12
Calls
4 calls:
51.0ms
(/ (- 1.0 v) (* (* w (* w r)) r))
28.0ms
(/ 2.0 (* r r))
32.0ms
(* (* w (* w r)) r)
72.0ms
(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (* (* w (* w r)) r)))

simplify1.5s

Counts
138 → 138
Iterations

Useful iterations: 2 (306.0ms)

IterNodesCost
02442700
17742620
243451960
done50001960

prune373.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (/ 2.0 r) r)
0.2b
(/ (- 1.0 v) (* (* w (* w r)) r))
2.7b
(* (* w (* w r)) r)
4.7b
(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (* (* w (* w r)) r)))

rewrite90.0ms

Algorithm
rewrite-expression-head
Rules
99×times-frac
77×add-exp-log add-cbrt-cube
61×add-sqr-sqrt *-un-lft-identity
53×add-cube-cbrt
29×prod-exp cbrt-unprod
25×cbrt-undiv div-exp
19×associate-/l*
13×pow1 associate-/r*
9×div-inv
6×pow-prod-down
5×associate-/l/
4×distribute-lft-out-- add-log-exp difference-of-squares
3×frac-2neg associate-*r* clear-num
2×flip3-- associate-*r/ flip--
1×div-sub associate-*l* associate-/r/ *-commutative
Counts
4 → 175
Calls
4 calls:
6.0ms
(/ (/ 2.0 r) r)
24.0ms
(/ (- 1.0 v) (* (* w (* w r)) r))
18.0ms
(* (* w (* w r)) r)
33.0ms
(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (* (* w (* w r)) r)))

series186.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(/ (/ 2.0 r) r)
56.0ms
(/ (- 1.0 v) (* (* w (* w r)) r))
32.0ms
(* (* w (* w r)) r)
74.0ms
(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (* (* w (* w r)) r)))

simplify353.0ms

Counts
187 → 187
Iterations

Useful iterations: done (348.0ms)

IterNodesCost
03383377
19913251
done50013211

prune510.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

regimes204.0ms

Accuracy

92.2% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 2.6b

bsearch162.0ms

Steps
ItersRangePoint
9
2.885819472276085e+135
3.477401369923578e+143
3.482628925649384e+139
4
-8.638519114283913e-09
-4.5188859777623525e-09
-6.832602897595849e-09

simplify4.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
03495
14667
done4667

end0.0ms

sample1.3s

Algorithm
intervals
Results
911.0ms17132×body80valid