Details

Time bar (total: 2.3s)

sample35.0ms

Algorithm
intervals
Results
13.0ms256×body80valid
12.0ms241×body80nan

simplify59.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02710
17210
218210
337010
471310
5106610
6120110
7130810
8130810

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

rewrite40.0ms

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
associate-*l/
pow-prod-down unswap-sqr
add-log-exp
*-commutative
cbrt-undiv distribute-rgt-in sub-neg distribute-lft-in div-exp
rem-sqrt-square sqrt-pow1 pow1/2 div-inv difference-of-squares
Counts
4 → 128
Calls
4 calls:
16.0ms
(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
2.0ms
(sqrt (- 1.0 (* 3.0 (* v v))))
11.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
6.0ms
(* 3.0 (* v v))

series32.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
5.0ms
(sqrt (- 1.0 (* 3.0 (* v v))))
10.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
3.0ms
(* 3.0 (* v v))

simplify88.0ms

Algorithm
egg-herbie
Counts
140 → 140
Iterations

Useful iterations: 2 (72.0ms)

IterNodesCost
08131605
136491515
250011512

prune272.0ms

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

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1391140
Fresh000
Picked011
Done000
Total1392141

Merged error: 0b

Counts
141 → 2

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
82×sqrt-div
58×frac-times
38×associate-*r/
34×sqrt-prod
29×flip3-- associate-*l* flip--
27×pow1
24×add-sqr-sqrt
23×add-exp-log associate-*l/ add-cbrt-cube
21×add-cube-cbrt *-un-lft-identity
18×times-frac
16×pow-prod-down
12×prod-exp cbrt-unprod
associate-*r*
sqrt-pow1 pow1/2 add-log-exp
*-commutative
distribute-rgt-in sub-neg distribute-lft-in sqrt-unprod
rem-sqrt-square div-inv difference-of-squares unswap-sqr
Counts
4 → 149
Calls
4 calls:
2.0ms
(sqrt (- 1.0 (* 3.0 (* v v))))
24.0ms
(* (* (sqrt (/ (sqrt 2.0) 4.0)) (* (sqrt (/ (sqrt 2.0) 4.0)) (sqrt (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v)))
6.0ms
(* 3.0 (* v v))
18.0ms
(* (sqrt (/ (sqrt 2.0) 4.0)) (* (sqrt (/ (sqrt 2.0) 4.0)) (sqrt (- 1.0 (* 3.0 (* v v))))))

series42.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(sqrt (- 1.0 (* 3.0 (* v v))))
20.0ms
(* (* (sqrt (/ (sqrt 2.0) 4.0)) (* (sqrt (/ (sqrt 2.0) 4.0)) (sqrt (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v)))
3.0ms
(* 3.0 (* v v))
14.0ms
(* (sqrt (/ (sqrt 2.0) 4.0)) (* (sqrt (/ (sqrt 2.0) 4.0)) (sqrt (- 1.0 (* 3.0 (* v v))))))

simplify122.0ms

Algorithm
egg-herbie
Counts
161 → 161
Iterations

Useful iterations: 2 (96.0ms)

IterNodesCost
010282458
147192203
250012202

prune399.0ms

Filtered
114 candidates to 161 candidates (-41.2%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1610161
Fresh000
Picked011
Done011
Total1612163

Merged error: 0b

Counts
163 → 2

regimes74.0ms

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 (0.0ms)

IterNodesCost
01710
11710

end0.0ms

sample1.0s

Algorithm
intervals
Results
400.0ms8000×body80valid
386.0ms7796×body80nan

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