Details

Time bar (total: 10.4s)

sample39.0ms

Algorithm
intervals
Results
14.0ms270×body80nan
13.0ms256×body80valid

simplify1.5s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01419
12719
26919
316619
431619
557319
682319
791619
893519
done93519

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

localize11.0ms

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))

rewrite39.0ms

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)))))
13.0ms
(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
6.0ms
(* 3.0 (* v v))

series38.0ms

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)))))
19.0ms
(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
3.0ms
(* 3.0 (* v v))

simplify1.2s

Counts
140 → 140
Iterations

Useful iterations: 2 (579.0ms)

IterNodesCost
02763102
18022836
230202648
done50002648

prune314.0ms

Filtered
99 candidates to 140 candidates (-41.4%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New1373140
Fresh000
Picked101
Done000
Total1383141

Merged error: 0b

Counts
141 → 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))
13.0ms
(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (neg (* v v)))

series29.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(* (/ (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)))

simplify861.0ms

Counts
131 → 131
Iterations

Useful iterations: 2 (302.0ms)

IterNodesCost
02302210
16101991
223301872
done50001872

prune312.0ms

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

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1310131
Fresh022
Picked011
Done000
Total1313134

Merged error: 0b

Counts
134 → 3

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- 1.0 (* 3.0 (* v v))))
0.0b
(* (sqrt (- 1.0 (* 3.0 (* v v)))) (- 1.0 (* 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))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
31×associate-*l*
29×add-sqr-sqrt
23×add-exp-log add-cbrt-cube
22×add-cube-cbrt *-un-lft-identity
20×frac-times sqrt-div
19×flip3-- flip--
18×times-frac
17×pow1
16×sqrt-prod
14×associate-*r/
10×distribute-rgt-in distribute-lft-in prod-exp cbrt-unprod
7×pow-prod-down associate-*l/
6×sub-neg associate-*r*
4×add-log-exp
3×*-commutative unswap-sqr
2×cbrt-undiv div-exp
1×rem-sqrt-square sqrt-pow1 pow1/2 div-inv difference-of-squares
Counts
4 → 135
Calls
4 calls:
3.0ms
(sqrt (- 1.0 (* 3.0 (* v v))))
9.0ms
(* (sqrt (- 1.0 (* 3.0 (* v v)))) (- 1.0 (* v v)))
15.0ms
(* (/ (sqrt 2.0) 4.0) (* (sqrt (- 1.0 (* 3.0 (* v v)))) (- 1.0 (* v v))))
7.0ms
(* 3.0 (* v v))

series37.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(sqrt (- 1.0 (* 3.0 (* v v))))
12.0ms
(* (sqrt (- 1.0 (* 3.0 (* v v)))) (- 1.0 (* v v)))
15.0ms
(* (/ (sqrt 2.0) 4.0) (* (sqrt (- 1.0 (* 3.0 (* v v)))) (- 1.0 (* v v))))
3.0ms
(* 3.0 (* v v))

simplify965.0ms

Counts
147 → 147
Iterations

Useful iterations: 2 (350.0ms)

IterNodesCost
02983472
18533204
231212986
done50002986

prune292.0ms

Filtered
103 candidates to 147 candidates (-42.7%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1470147
Fresh011
Picked011
Done011
Total1473150

Merged error: 0b

Counts
150 → 3

localize28.0ms

Local error

Found 4 expressions with local error:

0.1b
(pow (* 3.0 (* v v)) 3)
0.2b
(* 3.0 (pow v 2))
0.2b
(* 3.0 (* v v))
0.2b
(* 3.0 (* v v))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
25×add-exp-log
22×add-cbrt-cube
20×pow1
18×add-sqr-sqrt
12×prod-exp
10×add-cube-cbrt *-un-lft-identity associate-*r* cbrt-unprod
9×associate-*l* pow-prod-down
6×unswap-sqr
5×unpow-prod-down
4×pow-exp add-log-exp
3×pow-unpow pow-pow *-commutative rem-cube-cbrt sqr-pow
2×pow-to-exp unpow2
1×cube-mult unpow3 cube-prod
Counts
4 → 90
Calls
4 calls:
9.0ms
(pow (* 3.0 (* v v)) 3)
7.0ms
(* 3.0 (pow v 2))
6.0ms
(* 3.0 (* v v))
6.0ms
(* 3.0 (* v v))

series15.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(pow (* 3.0 (* v v)) 3)
3.0ms
(* 3.0 (pow v 2))
3.0ms
(* 3.0 (* v v))
3.0ms
(* 3.0 (* v v))

simplify3.1s

Counts
102 → 102
Iterations

Useful iterations: 2 (104.0ms)

IterNodesCost
099777
1224628
2681601
34308601
done5000601

prune293.0ms

Filtered
65 candidates to 102 candidates (-56.9%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1020102
Fresh000
Picked011
Done022
Total1023105

Merged error: 0b

Counts
105 → 3

regimes62.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify8.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01634
12634
22934
33634
43834
done3834

end0.0ms

sample1.1s

Algorithm
intervals
Results
419.0ms8034×body80nan
415.0ms8000×body80valid

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