Details

Time bar (total: 4.2s)

sample36.0ms

Algorithm
intervals
Results
12.0ms256×body80valid
10.0ms231×body80nan

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 (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

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
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:
12.0ms
(* (* (/ (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)))))
9.0ms
(* 3.0 (* v v))

series616.0ms

Counts
4 → 12
Calls
4 calls:
312.0ms
(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
77.0ms
(sqrt (- 1.0 (* 3.0 (* v v))))
201.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
25.0ms
(* 3.0 (* v v))

simplify97.0ms

Algorithm
egg-herbie
Counts
140 → 140
Iterations

Useful iterations: 2 (74.0ms)

IterNodesCost
08131605
136491515
250011512

prune422.0ms

Filtered
140 candidates to 99 candidates (70.7%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New1382140
Fresh000
Picked101
Done000
Total1392141

Merged error: 0b

Counts
141 → 2

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite39.0ms

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:
8.0ms
(* (sqrt (- 1.0 (* 3.0 (* v v)))) (- 1.0 (* v v)))
17.0ms
(* (/ (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))))
5.0ms
(* 3.0 (* v v))

series601.0ms

Counts
4 → 12
Calls
4 calls:
178.0ms
(* (sqrt (- 1.0 (* 3.0 (* v v)))) (- 1.0 (* v v)))
318.0ms
(* (/ (sqrt 2.0) 4.0) (* (sqrt (- 1.0 (* 3.0 (* v v)))) (- 1.0 (* v v))))
80.0ms
(sqrt (- 1.0 (* 3.0 (* v v))))
25.0ms
(* 3.0 (* v v))

simplify91.0ms

Algorithm
egg-herbie
Counts
147 → 147
Iterations

Useful iterations: 2 (74.0ms)

IterNodesCost
08701771
137181674
250011673

prune435.0ms

Filtered
147 candidates to 103 candidates (70.1%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1461147
Fresh101
Picked011
Done000
Total1472149

Merged error: 0b

Counts
149 → 2

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1
9×add-exp-log add-sqr-sqrt add-cbrt-cube
8×exp-sum
7×add-cube-cbrt log-prod *-un-lft-identity add-log-exp
4×distribute-rgt-in sub-neg distribute-lft-in
3×associate-*l* pow-prod-down prod-exp sqrt-prod log-pow cbrt-unprod
2×exp-prod exp-to-pow sqrt-div
1×rem-sqrt-square flip3-- sqrt-pow1 pow1/2 rem-log-exp associate-*r* *-commutative flip-- rem-exp-log unswap-sqr
Counts
4 → 66
Calls
4 calls:
4.0ms
(exp (* (sqrt (- 1.0 (* 3.0 (* v v)))) (- 1.0 (* v v))))
2.0ms
(sqrt (- 1.0 (* 3.0 (* v v))))
2.0ms
(log (exp (* (sqrt (- 1.0 (* 3.0 (* v v)))) (- 1.0 (* v v)))))
5.0ms
(* 3.0 (* v v))

series449.0ms

Counts
4 → 12
Calls
4 calls:
148.0ms
(exp (* (sqrt (- 1.0 (* 3.0 (* v v)))) (- 1.0 (* v v))))
80.0ms
(sqrt (- 1.0 (* 3.0 (* v v))))
191.0ms
(log (exp (* (sqrt (- 1.0 (* 3.0 (* v v)))) (- 1.0 (* v v)))))
29.0ms
(* 3.0 (* v v))

simplify46.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0374691
11264631
25001626

prune231.0ms

Filtered
78 candidates to 53 candidates (67.9%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New78078
Fresh000
Picked011
Done011
Total78280

Merged error: 0b

Counts
80 → 2

regimes48.0ms

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

sample965.0ms

Algorithm
intervals
Results
365.0ms8045×body80nan
363.0ms8000×body80valid

Profiling

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