Details

Time bar (total: 2.0s)

analyze5.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
0%50%50%3
25%25%50%4
37.5%12.5%50%5
43.7%6.2%50%6
46.9%3.1%50%7
48.4%1.6%50%8
49.2%0.8%50%9
49.6%0.4%50%10
49.8%0.2%50%11
49.9%0.1%50%12
49.9%0%50.1%13
49.9%0%50.1%14

sample25.0ms

Algorithm
intervals
Results
18.0ms256×body80valid
0.0ms1×body80nan

simplify179.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (177.0ms)

IterNodesCost
0236419
1236419

prune9.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 2

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
33×add-sqr-sqrt
23×add-exp-log add-cbrt-cube
18×add-cube-cbrt *-un-lft-identity associate-*r*
17×pow1
15×associate-*l*
14×times-frac
11×sqrt-prod
10×sqrt-div prod-exp cbrt-unprod
7×associate-*r/ pow-prod-down
5×flip3-- flip-- unswap-sqr
4×frac-times associate-*l/ add-log-exp
3×*-commutative difference-of-squares
2×cbrt-undiv div-exp
1×rem-sqrt-square sqrt-pow1 pow1/2 div-inv
Counts
4 → 106
Calls
4 calls:
3.0ms
(sqrt (- 1.0 (* 3.0 (* v v))))
12.0ms
(* (sqrt 2.0) (* (sqrt (- 1.0 (* 3.0 (* v v)))) (/ (- 1.0 (* v v)) 4.0)))
11.0ms
(* (sqrt (- 1.0 (* 3.0 (* v v)))) (/ (- 1.0 (* v v)) 4.0))
5.0ms
(* 3.0 (* v v))

series36.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(sqrt (- 1.0 (* 3.0 (* v v))))
14.0ms
(* (sqrt 2.0) (* (sqrt (- 1.0 (* 3.0 (* v v)))) (/ (- 1.0 (* v v)) 4.0)))
13.0ms
(* (sqrt (- 1.0 (* 3.0 (* v v)))) (/ (- 1.0 (* v v)) 4.0))
3.0ms
(* 3.0 (* v v))

simplify33.0ms

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 0 (21.0ms)

IterNodesCost
050652096

prune216.0ms

Filtered
86 candidates to 118 candidates (-37.2%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New1162118
Fresh101
Picked101
Done000
Total1182120

Merged error: 0b

Counts
120 → 2

localize11.0ms

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

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
17×pow1
16×add-exp-log add-cbrt-cube
15×associate-*l*
11×add-cube-cbrt *-un-lft-identity
10×associate-*r/ sqrt-prod
8×flip3-- sqrt-div flip--
7×pow-prod-down prod-exp cbrt-unprod
6×sub-neg associate-*r*
5×distribute-rgt-in distribute-lft-in
4×frac-times add-log-exp
3×*-commutative unswap-sqr
2×associate-*l/
1×rem-sqrt-square sqrt-pow1 pow1/2 difference-of-squares
Counts
4 → 94
Calls
4 calls:
3.0ms
(sqrt (- 1.0 (* 3.0 (* v v))))
11.0ms
(* (sqrt (- 1.0 (* 3.0 (* v v)))) (* (sqrt 2.0) (- 1.0 (* v v))))
7.0ms
(* (sqrt 2.0) (- 1.0 (* v v)))
6.0ms
(* 3.0 (* v v))

series30.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(sqrt (- 1.0 (* 3.0 (* v v))))
12.0ms
(* (sqrt (- 1.0 (* 3.0 (* v v)))) (* (sqrt 2.0) (- 1.0 (* v v))))
10.0ms
(* (sqrt 2.0) (- 1.0 (* v v)))
3.0ms
(* 3.0 (* v v))

simplify30.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 0 (19.0ms)

IterNodesCost
050401578

prune176.0ms

Filtered
73 candidates to 106 candidates (-45.2%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1060106
Fresh011
Picked011
Done000
Total1062108

Merged error: 0b

Counts
108 → 2

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
37×add-sqr-sqrt
21×associate-*r*
19×add-cube-cbrt *-un-lft-identity
16×pow1 add-cbrt-cube
15×add-exp-log associate-*l*
14×times-frac
12×sqrt-div
10×log-div exp-diff
9×sqrt-prod
8×associate-*r/
7×unswap-sqr
6×frac-times flip3-- pow-prod-down associate-*l/ prod-exp flip-- cbrt-unprod
5×exp-prod
4×add-log-exp
3×*-commutative difference-of-squares
2×log-prod exp-sum log-pow
1×cbrt-undiv div-exp div-inv rem-exp-log
Counts
4 → 110
Calls
4 calls:
16.0ms
(* (sqrt 2.0) (exp (log (* (sqrt (- 1.0 (* 3.0 (* v v)))) (/ (- 1.0 (* v v)) 4.0)))))
12.0ms
(* (sqrt (- 1.0 (* 3.0 (* v v)))) (/ (- 1.0 (* v v)) 4.0))
9.0ms
(exp (log (* (sqrt (- 1.0 (* 3.0 (* v v)))) (/ (- 1.0 (* v v)) 4.0))))
6.0ms
(* 3.0 (* v v))

series39.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(* (sqrt 2.0) (exp (log (* (sqrt (- 1.0 (* 3.0 (* v v)))) (/ (- 1.0 (* v v)) 4.0)))))
11.0ms
(* (sqrt (- 1.0 (* 3.0 (* v v)))) (/ (- 1.0 (* v v)) 4.0))
11.0ms
(exp (log (* (sqrt (- 1.0 (* 3.0 (* v v)))) (/ (- 1.0 (* v v)) 4.0))))
3.0ms
(* 3.0 (* v v))

simplify49.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
049792385
149792385

prune261.0ms

Filtered
92 candidates to 122 candidates (-32.6%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1220122
Fresh000
Picked011
Done011
Total1222124

Merged error: 0b

Counts
124 → 2

regimes239.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05319
15319

end0.0ms

sample504.0ms

Algorithm
intervals
Results
412.0ms8000×body80valid
0.0ms4×body80nan

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