Details

Time bar (total: 7.4s)

sample41.0ms

Algorithm
intervals
Results
15.0ms270×body80nan
14.0ms256×body80valid

simplify543.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01419
12719
26919
316719
432519
559419
685019
795619
897319
done97319

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))))
12.0ms
(* (/ (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))

series36.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(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))

simplify784.0ms

Counts
140 → 140
Iterations

Useful iterations: done (779.0ms)

IterNodesCost
02763102
18102877
232832670
done50002650

prune326.0ms

Filtered
103 candidates to 140 candidates (-35.9%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New1373140
Fresh000
Picked101
Done000
Total1383141

Merged error: 0b

Counts
141 → 3

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
40×add-exp-log add-cbrt-cube
24×associate-*r/
19×pow1
18×prod-exp cbrt-unprod
12×flip3-- sqrt-div flip--
10×add-sqr-sqrt associate-*l*
9×distribute-rgt-in distribute-lft-in pow-prod-down
8×frac-times add-cube-cbrt *-un-lft-identity associate-/l/
6×cbrt-undiv div-exp
5×associate-*r*
4×sub-neg associate-*l/ add-log-exp
3×sqrt-prod *-commutative
2×flip3-+ associate-/r/ flip-+ unswap-sqr
1×frac-2neg times-frac clear-num associate-/r* div-inv associate-/l*
Counts
4 → 114
Calls
4 calls:
22.0ms
(* (sqrt 2.0) (* (sqrt (- 1.0 (* 3.0 (* v v)))) (- (pow 1.0 3) (pow v 6))))
30.0ms
(/ (* (sqrt 2.0) (* (sqrt (- 1.0 (* 3.0 (* v v)))) (- (pow 1.0 3) (pow v 6)))) (* 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))

series46.0ms

Counts
4 → 12
Calls
4 calls:
12.0ms
(* (sqrt 2.0) (* (sqrt (- 1.0 (* 3.0 (* v v)))) (- (pow 1.0 3) (pow v 6))))
22.0ms
(/ (* (sqrt 2.0) (* (sqrt (- 1.0 (* 3.0 (* v v)))) (- (pow 1.0 3) (pow v 6)))) (* 4.0 (+ (* (* v v) (+ 1.0 (* v v))) (* 1.0 1.0))))
9.0ms
(* (* v v) (+ 1.0 (* v v)))
4.0ms
(* 3.0 (* v v))

simplify1.1s

Counts
126 → 126
Iterations

Useful iterations: 2 (309.0ms)

IterNodesCost
02973591
19613353
248352739
done50002739

prune576.0ms

Filtered
88 candidates to 126 candidates (-43.2%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1260126
Fresh022
Picked011
Done000
Total1263129

Merged error: 0b

Counts
129 → 3

localize17.0ms

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)))

rewrite42.0ms

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))
12.0ms
(* (* (/ (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))
13.0ms
(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (neg (* v v)))

simplify683.0ms

Counts
131 → 131
Iterations

Useful iterations: done (674.0ms)

IterNodesCost
02302210
16172048
226571890
done50001876

prune357.0ms

Filtered
96 candidates to 131 candidates (-36.5%)
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) (* (sqrt (- (* 1.0 1.0) (* (* 3.0 3.0) (pow v 4)))) (- 1.0 (* v v)))) (* 4.0 (sqrt (+ 1.0 (* 3.0 (* v v))))))
0.0b
(* (sqrt 2.0) (* (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))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
48×add-exp-log
40×add-cbrt-cube
24×prod-exp
22×associate-*r/
18×cbrt-unprod
14×pow1 sqrt-div
12×add-sqr-sqrt flip3-- flip--
10×associate-*l*
9×add-cube-cbrt *-un-lft-identity associate-*r*
8×distribute-rgt-in frac-times distribute-lft-in associate-/l/
6×cbrt-undiv div-exp pow-prod-down
4×sub-neg unpow-prod-down associate-*l/ add-log-exp unswap-sqr
3×sqrt-prod *-commutative
2×pow-to-exp pow-exp associate-/r/ sqr-pow
1×frac-2neg flip3-+ times-frac clear-num associate-/r* flip-+ div-inv associate-/l*
Counts
4 → 118
Calls
4 calls:
18.0ms
(/ (* (sqrt 2.0) (* (sqrt (- (* 1.0 1.0) (* (* 3.0 3.0) (pow v 4)))) (- 1.0 (* v v)))) (* 4.0 (sqrt (+ 1.0 (* 3.0 (* v v))))))
17.0ms
(* (sqrt 2.0) (* (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))

series39.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(/ (* (sqrt 2.0) (* (sqrt (- (* 1.0 1.0) (* (* 3.0 3.0) (pow v 4)))) (- 1.0 (* v v)))) (* 4.0 (sqrt (+ 1.0 (* 3.0 (* v v))))))
11.0ms
(* (sqrt 2.0) (* (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))
4.0ms
(* 3.0 (* v v))

simplify969.0ms

Counts
130 → 130
Iterations

Useful iterations: done (964.0ms)

IterNodesCost
03023515
19113157
242212765
done50002745

prune342.0ms

Filtered
88 candidates to 130 candidates (-47.7%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1300130
Fresh000
Picked011
Done022
Total1303133

Merged error: 0b

Counts
133 → 3

regimes64.0ms

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
452.0ms8000×body80valid
444.0ms8034×body80nan

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