Details

Time bar (total: 7.0s)

sample47.0ms

Algorithm
intervals
Results
19.0ms270×body80nan
15.0ms256×body80valid

simplify523.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01419
12719
26919
316719
432519
559419
685019
794619
896319
done96319

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- 1.0 (* 3.0 (* v v))))
0.0b
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
0.0b
(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
0.2b
(* 3.0 (* v v))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
26×associate-*l*
23×add-exp-log add-cbrt-cube
22×add-cube-cbrt *-un-lft-identity times-frac
20×sqrt-prod
18×frac-times sqrt-div
17×pow1
15×flip3-- flip--
11×associate-*r*
10×associate-*r/ prod-exp cbrt-unprod
9×associate-*l/
7×pow-prod-down unswap-sqr
4×add-log-exp
3×*-commutative
2×cbrt-undiv distribute-rgt-in sub-neg distribute-lft-in div-exp
1×rem-sqrt-square sqrt-pow1 pow1/2 div-inv difference-of-squares
Counts
4 → 128
Calls
4 calls:
3.0ms
(sqrt (- 1.0 (* 3.0 (* v v))))
16.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
14.0ms
(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
6.0ms
(* 3.0 (* v v))

series35.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(sqrt (- 1.0 (* 3.0 (* v v))))
11.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
16.0ms
(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
3.0ms
(* 3.0 (* v v))

simplify738.0ms

Counts
140 → 140
Iterations

Useful iterations: 2 (256.0ms)

IterNodesCost
02763102
18102868
231622648
done50002648

prune320.0ms

Filtered
102 candidates to 140 candidates (-37.3%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New1373140
Fresh000
Picked101
Done000
Total1383141

Merged error: 0b

Counts
141 → 3

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (* (sqrt (- 1.0 (* 3.0 (* v v)))) (- (pow 1.0 3) (pow v 6))) (sqrt 2.0))
0.0b
(/ (* (* (sqrt (- 1.0 (* 3.0 (* v v)))) (- (pow 1.0 3) (pow v 6))) (sqrt 2.0)) (* 4.0 (+ (* (* v v) (+ 1.0 (* v v))) (* 1.0 1.0))))
0.0b
(* (* v v) (+ 1.0 (* v v)))
0.2b
(* 3.0 (* v v))

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
40×add-exp-log add-cbrt-cube
20×associate-*l/
19×pow1
18×prod-exp cbrt-unprod
12×flip3-- sqrt-div flip--
10×add-sqr-sqrt associate-*r*
9×pow-prod-down
8×frac-times add-cube-cbrt *-un-lft-identity associate-*r/ associate-/l/
6×cbrt-undiv div-exp
5×associate-*l*
4×add-log-exp
3×sqrt-prod *-commutative
2×flip3-+ associate-/r/ flip-+ unswap-sqr
1×distribute-rgt-in frac-2neg distribute-lft-in times-frac clear-num associate-/r* div-inv associate-/l*
Counts
4 → 106
Calls
4 calls:
18.0ms
(* (* (sqrt (- 1.0 (* 3.0 (* v v)))) (- (pow 1.0 3) (pow v 6))) (sqrt 2.0))
28.0ms
(/ (* (* (sqrt (- 1.0 (* 3.0 (* v v)))) (- (pow 1.0 3) (pow v 6))) (sqrt 2.0)) (* 4.0 (+ (* (* v v) (+ 1.0 (* v v))) (* 1.0 1.0))))
8.0ms
(* (* v v) (+ 1.0 (* v v)))
6.0ms
(* 3.0 (* v v))

series49.0ms

Counts
4 → 12
Calls
4 calls:
12.0ms
(* (* (sqrt (- 1.0 (* 3.0 (* v v)))) (- (pow 1.0 3) (pow v 6))) (sqrt 2.0))
25.0ms
(/ (* (* (sqrt (- 1.0 (* 3.0 (* v v)))) (- (pow 1.0 3) (pow v 6))) (sqrt 2.0)) (* 4.0 (+ (* (* v v) (+ 1.0 (* v v))) (* 1.0 1.0))))
8.0ms
(* (* v v) (+ 1.0 (* v v)))
3.0ms
(* 3.0 (* v v))

simplify1.0s

Counts
118 → 118
Iterations

Useful iterations: 2 (333.0ms)

IterNodesCost
02893334
19423040
246482444
done50002444

prune318.0ms

Filtered
80 candidates to 118 candidates (-47.5%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1180118
Fresh022
Picked011
Done000
Total1183121

Merged error: 0b

Counts
121 → 3

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
0.2b
(* 3.0 (* v v))
0.2b
(* 3.0 (* v v))
0.2b
(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (neg (* v v)))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
40×add-sqr-sqrt
29×associate-*l*
28×add-exp-log add-cbrt-cube
22×add-cube-cbrt *-un-lft-identity times-frac
21×pow1
17×sqrt-prod
14×associate-*r*
13×prod-exp cbrt-unprod
10×pow-prod-down
8×sqrt-div unswap-sqr
7×associate-*l/
4×frac-times flip3-- associate-*r/ *-commutative flip-- add-log-exp
2×cbrt-undiv div-exp
1×distribute-lft-neg-in neg-mul-1 distribute-rgt-neg-in distribute-rgt-neg-out div-inv
Counts
4 → 119
Calls
4 calls:
12.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
6.0ms
(* 3.0 (* v v))
6.0ms
(* 3.0 (* v v))
15.0ms
(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (neg (* v v)))

series30.0ms

Counts
4 → 12
Calls
4 calls:
11.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
3.0ms
(* 3.0 (* v v))
3.0ms
(* 3.0 (* v v))
12.0ms
(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (neg (* v v)))

simplify603.0ms

Counts
131 → 131
Iterations

Useful iterations: 2 (196.0ms)

IterNodesCost
02302210
16172031
224861872
done50001872

prune309.0ms

Filtered
86 candidates to 131 candidates (-52.3%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1310131
Fresh011
Picked011
Done011
Total1313134

Merged error: 0b

Counts
134 → 3

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (* (/ (sqrt 2.0) 4.0) (* (sqrt (- (* 1.0 1.0) (* (* 3.0 3.0) (pow v 4)))) (- 1.0 (* v v)))) (sqrt (+ 1.0 (* 3.0 (* v v)))))
0.0b
(* (/ (sqrt 2.0) 4.0) (* (sqrt (- (* 1.0 1.0) (* (* 3.0 3.0) (pow v 4)))) (- 1.0 (* v v))))
0.1b
(* (* 3.0 3.0) (pow v 4))
0.2b
(* 3.0 (* v v))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
52×add-exp-log
44×add-cbrt-cube
32×frac-times
27×add-sqr-sqrt
26×sqrt-div associate-*l*
24×add-cube-cbrt flip3-- *-un-lft-identity times-frac associate-*r/ prod-exp flip--
18×cbrt-unprod
17×associate-/l/
15×sqrt-prod
14×pow1
10×associate-*l/
9×cbrt-undiv div-exp associate-*r*
8×distribute-rgt-in distribute-lft-in
6×pow-prod-down associate-/r*
4×sub-neg unpow-prod-down add-log-exp unswap-sqr
3×*-commutative
2×pow-to-exp pow-exp associate-/r/ div-inv sqr-pow
1×frac-2neg flip3-+ clear-num flip-+ associate-/l*
Counts
4 → 164
Calls
4 calls:
20.0ms
(/ (* (/ (sqrt 2.0) 4.0) (* (sqrt (- (* 1.0 1.0) (* (* 3.0 3.0) (pow v 4)))) (- 1.0 (* v v)))) (sqrt (+ 1.0 (* 3.0 (* v v)))))
16.0ms
(* (/ (sqrt 2.0) 4.0) (* (sqrt (- (* 1.0 1.0) (* (* 3.0 3.0) (pow v 4)))) (- 1.0 (* v v))))
8.0ms
(* (* 3.0 3.0) (pow v 4))
6.0ms
(* 3.0 (* v v))

series45.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(/ (* (/ (sqrt 2.0) 4.0) (* (sqrt (- (* 1.0 1.0) (* (* 3.0 3.0) (pow v 4)))) (- 1.0 (* v v)))) (sqrt (+ 1.0 (* 3.0 (* v v)))))
16.0ms
(* (/ (sqrt 2.0) 4.0) (* (sqrt (- (* 1.0 1.0) (* (* 3.0 3.0) (pow v 4)))) (- 1.0 (* v v))))
4.0ms
(* (* 3.0 3.0) (pow v 4))
3.0ms
(* 3.0 (* v v))

simplify946.0ms

Counts
176 → 176
Iterations

Useful iterations: 2 (354.0ms)

IterNodesCost
03735265
111034770
245214248
done50004248

prune506.0ms

Filtered
122 candidates to 176 candidates (-44.3%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1760176
Fresh000
Picked011
Done022
Total1763179

Merged error: 0b

Counts
179 → 3

regimes62.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02335
13035
done3035

end0.0ms

sample1.2s

Algorithm
intervals
Results
451.0ms8034×body80nan
448.0ms8000×body80valid

Profiling

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