Details

Time bar (total: 2.8s)

sample43.0ms

Algorithm
intervals
Results
17.0ms250×body80nan
13.0ms256×body80valid

simplify64.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
02710
17210
218210
337010
471310
5106610
6120110
7130810
8130810

prune3.0ms

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))

rewrite37.0ms

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))))) (- 1.0 (* v v)))
11.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
6.0ms
(* 3.0 (* v v))

series35.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(sqrt (- 1.0 (* 3.0 (* v v))))
17.0ms
(* (* (/ (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)))))
3.0ms
(* 3.0 (* v v))

simplify89.0ms

Algorithm
egg-herbie
Counts
140 → 140
Iterations

Useful iterations: 2 (73.0ms)

IterNodesCost
08131606
136491515
250011512

prune267.0ms

Filtered
140 candidates to 99 candidates (29.3%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New1382140
Fresh000
Picked101
Done000
Total1392141

Merged error: 0b

Counts
141 → 2

localize12.0ms

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 (- 1.0 (* 3.0 (* v v)))) (- 1.0 (* v v)))
0.2b
(* 3.0 (* v v))

rewrite35.0ms

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:
2.0ms
(sqrt (- 1.0 (* 3.0 (* v v))))
14.0ms
(* (/ (sqrt 2.0) 4.0) (* (sqrt (- 1.0 (* 3.0 (* v v)))) (- 1.0 (* v v))))
8.0ms
(* (sqrt (- 1.0 (* 3.0 (* v v)))) (- 1.0 (* v v)))
6.0ms
(* 3.0 (* v v))

series35.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(sqrt (- 1.0 (* 3.0 (* v v))))
18.0ms
(* (/ (sqrt 2.0) 4.0) (* (sqrt (- 1.0 (* 3.0 (* v v)))) (- 1.0 (* v v))))
9.0ms
(* (sqrt (- 1.0 (* 3.0 (* v v)))) (- 1.0 (* v v)))
3.0ms
(* 3.0 (* v v))

simplify91.0ms

Algorithm
egg-herbie
Counts
147 → 147
Iterations

Useful iterations: 2 (74.0ms)

IterNodesCost
08701771
137181674
250011673

prune265.0ms

Filtered
147 candidates to 103 candidates (29.9%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1470147
Fresh011
Picked011
Done000
Total1472149

Merged error: 0b

Counts
149 → 2

localize16.0ms

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))))))

rewrite55.0ms

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
6×associate-*r*
4×sqrt-pow1 pow1/2 add-log-exp
3×*-commutative
2×distribute-rgt-in sub-neg distribute-lft-in sqrt-unprod
1×rem-sqrt-square div-inv difference-of-squares unswap-sqr
Counts
4 → 149
Calls
4 calls:
3.0ms
(sqrt (- 1.0 (* 3.0 (* v v))))
21.0ms
(* (* (sqrt (/ (sqrt 2.0) 4.0)) (* (sqrt (/ (sqrt 2.0) 4.0)) (sqrt (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v)))
5.0ms
(* 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))))))

series46.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(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)))
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))))))

simplify120.0ms

Algorithm
egg-herbie
Counts
161 → 161
Iterations

Useful iterations: 2 (98.0ms)

IterNodesCost
010282458
147192203
250012202

prune379.0ms

Filtered
161 candidates to 115 candidates (28.6%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1610161
Fresh000
Picked011
Done011
Total1612163

Merged error: 0b

Counts
163 → 2

regimes52.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01710
11710

end0.0ms

sample1.1s

Algorithm
intervals
Results
419.0ms8136×body80nan
409.0ms8000×body80valid

Profiling

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