Details

Time bar (total: 5.4s)

sample34.0ms

Algorithm
intervals
Results
12.0ms256×body80valid
11.0ms242×body80nan

simplify62.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02710
17210
218210
337010
471310
5106610
6120110
7130810
8130810

prune3.0ms

Filtered
1 candidates to 0 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 → 1

localize14.0ms

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

rewrite38.0ms

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:
2.0ms
(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)))
12.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
6.0ms
(* 3.0 (* v v))

series613.0ms

Counts
4 → 12
Calls
4 calls:
74.0ms
(sqrt (- 1.0 (* 3.0 (* v v))))
312.0ms
(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
202.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
25.0ms
(* 3.0 (* v v))

simplify101.0ms

Algorithm
egg-herbie
Counts
140 → 140
Iterations

Useful iterations: 2 (79.0ms)

IterNodesCost
08131605
136491515
250011512

prune320.0ms

Filtered
140 candidates to 99 candidates (70.7%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New1373140
Fresh000
Picked101
Done000
Total1383141

Merged error: 0b

Counts
141 → 3

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
37×add-sqr-sqrt
27×add-cube-cbrt *-un-lft-identity
26×associate-*l*
23×add-exp-log add-cbrt-cube
20×times-frac
18×pow1
16×sqrt-prod
15×associate-*r*
14×log-pow
12×exp-prod
10×prod-exp cbrt-unprod
9×log-prod
7×pow-prod-down
5×distribute-rgt-in distribute-lft-in associate-*l/
4×add-log-exp unswap-sqr
3×*-commutative
2×cbrt-undiv frac-times sub-neg flip3-- associate-*r/ div-exp flip--
1×rem-log-exp div-inv difference-of-squares
Counts
4 → 122
Calls
4 calls:
4.0ms
(log (exp (sqrt (- 1.0 (* 3.0 (* v v))))))
13.0ms
(* (* (/ (sqrt 2.0) 4.0) (log (exp (sqrt (- 1.0 (* 3.0 (* v v))))))) (- 1.0 (* v v)))
14.0ms
(* (/ (sqrt 2.0) 4.0) (log (exp (sqrt (- 1.0 (* 3.0 (* v v)))))))
6.0ms
(* 3.0 (* v v))

series621.0ms

Counts
4 → 12
Calls
4 calls:
80.0ms
(log (exp (sqrt (- 1.0 (* 3.0 (* v v))))))
311.0ms
(* (* (/ (sqrt 2.0) 4.0) (log (exp (sqrt (- 1.0 (* 3.0 (* v v))))))) (- 1.0 (* v v)))
206.0ms
(* (/ (sqrt 2.0) 4.0) (log (exp (sqrt (- 1.0 (* 3.0 (* v v)))))))
25.0ms
(* 3.0 (* v v))

simplify79.0ms

Algorithm
egg-herbie
Counts
134 → 134
Iterations

Useful iterations: 2 (65.0ms)

IterNodesCost
07181512
130451287
250021280

prune295.0ms

Filtered
134 candidates to 95 candidates (70.9%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1331134
Fresh112
Picked011
Done000
Total1343137

Merged error: 0b

Counts
137 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
192×sqrt-div
98×frac-times
66×flip3-- flip--
49×associate-*l/
37×add-exp-log add-cbrt-cube
34×associate-*r/
28×pow1
20×prod-exp cbrt-unprod
15×associate-*r* pow-prod-down
13×add-sqr-sqrt
10×add-cube-cbrt *-un-lft-identity
9×sqrt-prod
8×associate-*l*
4×*-commutative add-log-exp
2×cbrt-undiv distribute-rgt-in sub-neg distribute-lft-in div-exp unswap-sqr
1×difference-of-squares
Counts
4 → 162
Calls
4 calls:
16.0ms
(* (* (/ (sqrt 2.0) 4.0) (sqrt (sqrt (- 1.0 (* 3.0 (* v v)))))) (sqrt (sqrt (- 1.0 (* 3.0 (* v v))))))
25.0ms
(* (* (* (/ (sqrt 2.0) 4.0) (sqrt (sqrt (- 1.0 (* 3.0 (* v v)))))) (sqrt (sqrt (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v)))
6.0ms
(* 3.0 (* v v))
6.0ms
(* 3.0 (* v v))

series569.0ms

Counts
4 → 12
Calls
4 calls:
207.0ms
(* (* (/ (sqrt 2.0) 4.0) (sqrt (sqrt (- 1.0 (* 3.0 (* v v)))))) (sqrt (sqrt (- 1.0 (* 3.0 (* v v))))))
306.0ms
(* (* (* (/ (sqrt 2.0) 4.0) (sqrt (sqrt (- 1.0 (* 3.0 (* v v)))))) (sqrt (sqrt (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v)))
30.0ms
(* 3.0 (* v v))
25.0ms
(* 3.0 (* v v))

simplify56.0ms

Algorithm
egg-herbie
Counts
174 → 174
Iterations

Useful iterations: 1 (27.0ms)

IterNodesCost
010863416
150012912

prune448.0ms

Filtered
174 candidates to 108 candidates (62.1%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1740174
Fresh011
Picked011
Done011
Total1743177

Merged error: 0b

Counts
177 → 3

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
12×pow1 add-exp-log
11×add-cube-cbrt *-un-lft-identity add-cbrt-cube
8×sqrt-div
7×log-prod flip3-- associate-*r* associate-*l* sqrt-prod flip--
4×frac-times pow-prod-down prod-exp cbrt-unprod add-log-exp
3×unpow-prod-down rem-log-exp unswap-sqr
2×associate-*r/ associate-*l/ *-commutative
1×pow-to-exp rem-sqrt-square sqrt-pow1 pow1/2 pow-exp log-pow difference-of-squares sqr-pow
Counts
4 → 83
Calls
4 calls:
2.0ms
(sqrt (- 1.0 (* 3.0 (* v v))))
8.0ms
(* (- 1.0 (* v v)) (sqrt (- 1.0 (* 3.0 (* v v)))))
5.0ms
(log (pow (exp (/ (sqrt 2.0) 4.0)) (* (- 1.0 (* v v)) (sqrt (- 1.0 (* 3.0 (* v v)))))))
6.0ms
(* 3.0 (* v v))

series740.0ms

Counts
4 → 12
Calls
4 calls:
80.0ms
(sqrt (- 1.0 (* 3.0 (* v v))))
176.0ms
(* (- 1.0 (* v v)) (sqrt (- 1.0 (* 3.0 (* v v)))))
453.0ms
(log (pow (exp (/ (sqrt 2.0) 4.0)) (* (- 1.0 (* v v)) (sqrt (- 1.0 (* 3.0 (* v v)))))))
30.0ms
(* 3.0 (* v v))

simplify61.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
05241000
12132921
25001919

prune267.0ms

Filtered
95 candidates to 71 candidates (74.7%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New95095
Fresh000
Picked011
Done022
Total95398

Merged error: 0b

Counts
98 → 3

regimes34.0ms

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
01912
11912

end0.0ms

sample914.0ms

Algorithm
intervals
Results
369.0ms8000×body80valid
357.0ms7963×body80nan

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