Details

Time bar (total: 26.2s)

sample218.0ms

Algorithm
intervals
Results
119.0ms545×body80valid

simplify3.0s

Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
02229
15129
215229
363329
4284629
done500229

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.4b

localize33.0ms

Local error

Found 4 expressions with local error:

3.4b
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
7.3b
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
7.3b
(* (* (* w w) r) r)
11.8b
(* (* w w) r)

rewrite689.0ms

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:
289.0ms
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
289.0ms
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
76.0ms
(* (* (* w w) r) r)
22.0ms
(* (* w w) r)

series341.0ms

Counts
4 → 12
Calls
4 calls:
132.0ms
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
126.0ms
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
46.0ms
(* (* (* w w) r) r)
37.0ms
(* (* w w) r)

simplify2.1s

Counts
131 → 131
Iterations

Useful iterations: done (2.1s)

IterNodesCost
02032751
15932663
229741923
done50011915

prune474.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 3.4b

localize43.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ 2.0 (* r r))
0.4b
(* (fabs (* w r)) (fabs (* w r)))
3.4b
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r))))
7.3b
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r)))) (- 1.0 v))

rewrite206.0ms

Algorithm
rewrite-expression-head
Rules
41×add-exp-log add-cbrt-cube
23×pow1
18×add-sqr-sqrt prod-exp cbrt-unprod
16×*-un-lft-identity
12×add-cube-cbrt
9×pow-prod-down
8×times-frac
7×cbrt-undiv div-exp
6×associate-/r*
4×associate-*r/ associate-*r* associate-*l* associate-*l/ associate-/l* add-log-exp
3×flip3-- swap-sqr flip--
2×frac-2neg clear-num associate-/r/ *-commutative div-inv associate-/l/ distribute-lft-out-- difference-of-squares
1×pow2 pow-plus pow-sqr pow-prod-up unswap-sqr
Counts
4 → 105
Calls
4 calls:
10.0ms
(/ 2.0 (* r r))
15.0ms
(* (fabs (* w r)) (fabs (* w r)))
58.0ms
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r))))
118.0ms
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r)))) (- 1.0 v))

series207.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(/ 2.0 (* r r))
12.0ms
(* (fabs (* w r)) (fabs (* w r)))
50.0ms
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r))))
112.0ms
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r)))) (- 1.0 v))

simplify1.4s

Counts
117 → 117
Iterations

Useful iterations: done (1.4s)

IterNodesCost
01982324
15181954
221081521
done50001515

prune612.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 0.3b

localize51.0ms

Local error

Found 4 expressions with local error:

6.5b
(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2)))
6.5b
(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2)))
11.3b
(sqrt (/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2))))
11.3b
(sqrt (/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2))))

rewrite304.0ms

Algorithm
rewrite-expression-head
Rules
416×times-frac
218×add-sqr-sqrt
216×*-un-lft-identity
120×add-cube-cbrt
98×sqrt-prod
90×unpow-prod-down
88×associate-/r*
52×add-exp-log
48×distribute-lft-out-- difference-of-squares
30×unpow2 sqr-pow
28×div-exp add-cbrt-cube
12×cbrt-undiv
10×div-inv
8×prod-exp
6×pow1
4×pow-to-exp associate-*r/ pow-exp associate-/r/ cbrt-unprod associate-/l/ add-log-exp
2×rem-sqrt-square flip3-- frac-2neg sqrt-pow1 pow1/2 sqrt-div clear-num flip-- associate-/l*
Counts
4 → 348
Calls
4 calls:
69.0ms
(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2)))
73.0ms
(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2)))
52.0ms
(sqrt (/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2))))
60.0ms
(sqrt (/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2))))

series966.0ms

Counts
4 → 12
Calls
4 calls:
99.0ms
(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2)))
103.0ms
(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2)))
378.0ms
(sqrt (/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2))))
386.0ms
(sqrt (/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2))))

simplify2.0s

Counts
360 → 360
Iterations

Useful iterations: 2 (900.0ms)

IterNodesCost
038910156
19769380
229988574
done50018574

prune2.6s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.3b

localize71.0ms

Local error

Found 4 expressions with local error:

6.5b
(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2)))
8.0b
(/ (- 3.0 (* 2.0 v)) (/ (- 1.0 v) (fabs (* w r))))
11.3b
(sqrt (* (* 0.125 (fabs (* w r))) (/ (- 3.0 (* 2.0 v)) (/ (- 1.0 v) (fabs (* w r))))))
11.3b
(sqrt (/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2))))

rewrite234.0ms

Algorithm
rewrite-expression-head
Rules
325×times-frac
191×add-sqr-sqrt
190×*-un-lft-identity
118×add-cube-cbrt
63×associate-/r*
50×sqrt-prod
45×unpow-prod-down
36×distribute-lft-out-- difference-of-squares
33×add-exp-log
21×add-cbrt-cube
17×div-exp
15×unpow2 sqr-pow
11×pow1
10×div-inv
9×cbrt-undiv
4×sqrt-pow1 prod-exp associate-/l/ associate-/l* add-log-exp
3×associate-*r/ pow-prod-down associate-/r/
2×pow-to-exp flip3-- frac-2neg pow1/2 sqrt-div pow-exp clear-num flip-- cbrt-unprod
1×rem-sqrt-square div-sub
Counts
4 → 284
Calls
4 calls:
45.0ms
(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2)))
49.0ms
(/ (- 3.0 (* 2.0 v)) (/ (- 1.0 v) (fabs (* w r))))
52.0ms
(sqrt (* (* 0.125 (fabs (* w r))) (/ (- 3.0 (* 2.0 v)) (/ (- 1.0 v) (fabs (* w r))))))
70.0ms
(sqrt (/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2))))

series889.0ms

Counts
4 → 12
Calls
4 calls:
92.0ms
(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2)))
86.0ms
(/ (- 3.0 (* 2.0 v)) (/ (- 1.0 v) (fabs (* w r))))
337.0ms
(sqrt (* (* 0.125 (fabs (* w r))) (/ (- 3.0 (* 2.0 v)) (/ (- 1.0 v) (fabs (* w r))))))
374.0ms
(sqrt (/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2))))

simplify3.0s

Counts
296 → 296
Iterations

Useful iterations: 2 (1.6s)

IterNodesCost
05628268
114507642
249017095
done50007095

prune2.5s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

regimes410.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03158
14058
done4058

end0.0ms

sample3.9s

Algorithm
intervals
Results
3.2s17198×body80valid