Details

Time bar (total: 4.7s)

sample28.0ms

Algorithm
intervals
Results
9.0ms288×body80nan
8.0ms256×body80valid

simplify91.0ms

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 (- 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:
3.0ms
(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)))))
6.0ms
(* 3.0 (* v v))

series639.0ms

Counts
4 → 12
Calls
4 calls:
84.0ms
(sqrt (- 1.0 (* 3.0 (* v v))))
324.0ms
(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
205.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
25.0ms
(* 3.0 (* v v))

simplify90.0ms

Algorithm
egg-herbie
Counts
140 → 140
Iterations

Useful iterations: 2 (74.0ms)

IterNodesCost
08091605
136211516
250011513

prune321.0ms

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

localize12.0ms

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

rewrite61.0ms

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:
20.0ms
(* (* (* (/ (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)))
15.0ms
(* (* (/ (sqrt 2.0) 4.0) (sqrt (sqrt (- 1.0 (* 3.0 (* v v)))))) (sqrt (sqrt (- 1.0 (* 3.0 (* v v))))))
5.0ms
(* 3.0 (* v v))
10.0ms
(* 3.0 (* v v))

series584.0ms

Counts
4 → 12
Calls
4 calls:
320.0ms
(* (* (* (/ (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)))
208.0ms
(* (* (/ (sqrt 2.0) 4.0) (sqrt (sqrt (- 1.0 (* 3.0 (* v v)))))) (sqrt (sqrt (- 1.0 (* 3.0 (* v v))))))
30.0ms
(* 3.0 (* v v))
26.0ms
(* 3.0 (* v v))

simplify56.0ms

Algorithm
egg-herbie
Counts
174 → 174
Iterations

Useful iterations: 1 (27.0ms)

IterNodesCost
010823416
150012912

prune455.0ms

Filtered
174 candidates to 108 candidates (62.1%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1740174
Fresh011
Picked011
Done000
Total1742176

Merged error: 0b

Counts
176 → 2

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
100×frac-times
52×sqrt-div
50×associate-*l/
44×flip3-- flip--
43×add-sqr-sqrt
37×add-exp-log add-cbrt-cube
36×associate-*r/
27×associate-*l*
26×*-un-lft-identity
25×pow1
24×flip3-+ flip-+
22×add-cube-cbrt times-frac
19×prod-exp cbrt-unprod
18×sqrt-prod
17×associate-*r*
13×pow-prod-down
7×unswap-sqr
4×*-commutative add-log-exp
3×cbrt-undiv distribute-rgt-in distribute-lft-in div-exp
2×sub-neg difference-of-squares
1×div-inv distribute-lft-out distribute-lft-out--
Counts
4 → 194
Calls
4 calls:
11.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
14.0ms
(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (+ (sqrt 1.0) v))
26.0ms
(* (* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (+ (sqrt 1.0) v)) (- (sqrt 1.0) v))
6.0ms
(* 3.0 (* v v))

series821.0ms

Counts
4 → 12
Calls
4 calls:
214.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
170.0ms
(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (+ (sqrt 1.0) v))
411.0ms
(* (* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (+ (sqrt 1.0) v)) (- (sqrt 1.0) v))
25.0ms
(* 3.0 (* v v))

simplify62.0ms

Algorithm
egg-herbie
Counts
206 → 206
Iterations

Useful iterations: 1 (32.0ms)

IterNodesCost
014253299
150013169

prune637.0ms

Filtered
206 candidates to 160 candidates (77.7%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New2060206
Fresh000
Picked011
Done011
Total2062208

Merged error: 0b

Counts
208 → 2

regimes28.0ms

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
02017
12017

end0.0ms

sample683.0ms

Algorithm
intervals
Results
266.0ms8000×body80valid
250.0ms7924×body80nan