Details

Time bar (total: 5.9s)

sample39.0ms

Algorithm
intervals
Results
12.0ms264×body80nan
12.0ms256×body80valid

simplify57.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02710
17210
218210
337010
471310
5106610
6120110
7130810
8130810

prune4.0ms

Filtered
1 candidates to 0 candidates (100.0%)
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))))) (- 1.0 (* v v)))
0.0b
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* 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:
2.0ms
(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)))
10.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
5.0ms
(* 3.0 (* v v))

series35.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(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)))
11.0ms
(* (/ (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 (73.0ms)

IterNodesCost
08131605
136491515
250011512

prune888.0ms

Filtered
140 candidates to 99 candidates (29.3%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New1373140
Fresh000
Picked101
Done000
Total1383141

Merged error: 0b

Counts
141 → 3

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt
29×associate-*l*
23×add-cube-cbrt *-un-lft-identity
22×times-frac
20×frac-times log-div exp-diff sqrt-div
17×sqrt-prod
16×pow1 flip3-- add-cbrt-cube flip--
15×add-exp-log
12×associate-*r/
11×associate-*r*
10×associate-*l/
8×unswap-sqr
6×pow-prod-down prod-exp cbrt-unprod
5×exp-prod
4×add-log-exp
3×*-commutative
2×distribute-rgt-in sub-neg log-prod distribute-lft-in exp-sum log-pow
1×cbrt-undiv div-exp div-inv rem-exp-log difference-of-squares
Counts
4 → 131
Calls
4 calls:
14.0ms
(* (exp (log (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))))) (- 1.0 (* v v)))
10.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
8.0ms
(exp (log (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))))
5.0ms
(* 3.0 (* v v))

series41.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(* (exp (log (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))))) (- 1.0 (* v v)))
10.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
11.0ms
(exp (log (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))))
3.0ms
(* 3.0 (* v v))

simplify84.0ms

Algorithm
egg-herbie
Counts
143 → 143
Iterations

Useful iterations: 2 (68.0ms)

IterNodesCost
07571733
132051631
250021628

prune1.2s

Filtered
143 candidates to 106 candidates (25.9%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New1421143
Fresh112
Picked101
Done000
Total1442146

Merged error: 0b

Counts
146 → 2

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(exp (+ (log (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))) (log (- 1.0 (* v v)))))
0.0b
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
0.2b
(* 3.0 (* v v))
2.5b
(log (- 1.0 (* v v)))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
40×add-sqr-sqrt
27×*-un-lft-identity
25×associate-*l*
22×add-cube-cbrt times-frac
21×pow1
17×sqrt-prod
15×add-exp-log
14×add-cbrt-cube
9×log-div exp-prod
8×sqrt-div log-pow
7×exp-diff associate-*r* unswap-sqr
6×flip3-- pow-prod-down flip-- distribute-lft-out
5×associate-+l- prod-exp cbrt-unprod add-log-exp
4×frac-times log-prod associate-*r/
2×associate-+r- associate-*l/ *-commutative rem-exp-log
1×cbrt-undiv div-exp rem-log-exp exp-sum sum-log div-inv difference-of-squares
Counts
4 → 112
Calls
4 calls:
12.0ms
(exp (+ (log (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))) (log (- 1.0 (* v v)))))
10.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
5.0ms
(* 3.0 (* v v))
2.0ms
(log (- 1.0 (* v v)))

series59.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(exp (+ (log (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))) (log (- 1.0 (* v v)))))
11.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
3.0ms
(* 3.0 (* v v))
7.0ms
(log (- 1.0 (* v v)))

simplify76.0ms

Algorithm
egg-herbie
Counts
124 → 124
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
08371411
132371321
250031312

prune1.3s

Filtered
124 candidates to 86 candidates (30.6%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1240124
Fresh011
Picked011
Done000
Total1242126

Merged error: 0b

Counts
126 → 2

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* 3.0 (* v v)) (* 3.0 (* v v)))
0.2b
(* 3.0 (* v v))
0.2b
(* 3.0 (* v v))
0.2b
(* 3.0 (* v v))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
133×pow1
75×pow-prod-down
55×add-exp-log add-cbrt-cube
36×prod-exp cbrt-unprod
10×add-sqr-sqrt associate-*l*
9×pow-sqr pow-prod-up
7×add-cube-cbrt *-un-lft-identity
4×associate-*r* *-commutative add-log-exp
3×pow-plus unswap-sqr
1×pow2 swap-sqr
Counts
4 → 117
Calls
4 calls:
12.0ms
(* (* 3.0 (* v v)) (* 3.0 (* v v)))
5.0ms
(* 3.0 (* v v))
5.0ms
(* 3.0 (* v v))
6.0ms
(* 3.0 (* v v))

series13.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(* (* 3.0 (* v v)) (* 3.0 (* v v)))
3.0ms
(* 3.0 (* v v))
3.0ms
(* 3.0 (* v v))
3.0ms
(* 3.0 (* v v))

simplify138.0ms

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 2 (24.0ms)

IterNodesCost
0200526
1782349
24098319
35001319

prune616.0ms

Filtered
129 candidates to 49 candidates (62.0%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1290129
Fresh000
Picked011
Done011
Total1292131

Merged error: 0b

Counts
131 → 2

regimes56.0ms

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
02013
12013

end0.0ms

sample995.0ms

Algorithm
intervals
Results
381.0ms8000×body80valid
372.0ms7997×body80nan

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