Details

Time bar (total: 4.3s)

sample38.0ms

Algorithm
intervals
Results
14.0ms294×body80nan
13.0ms256×body80valid

simplify60.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02710
17210
218210
337010
471310
5106610
6120110
7130810
8130810

prune2.0ms

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

localize10.0ms

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))

rewrite41.0ms

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

series582.0ms

Counts
4 → 12
Calls
4 calls:
75.0ms
(sqrt (- 1.0 (* 3.0 (* v v))))
292.0ms
(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
190.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
24.0ms
(* 3.0 (* v v))

simplify90.0ms

Algorithm
egg-herbie
Counts
140 → 140
Iterations

Useful iterations: 2 (74.0ms)

IterNodesCost
08091605
136211516
250011513

prune301.0ms

Filtered
140 candidates to 99 candidates (70.7%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1382140
Fresh000
Picked011
Done000
Total1383141

Merged error: 0b

Counts
141 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

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)))))
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:
14.0ms
(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (+ (sqrt 1.0) v))
11.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
24.0ms
(* (* (* (/ (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))

series756.0ms

Counts
4 → 12
Calls
4 calls:
161.0ms
(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (+ (sqrt 1.0) v))
193.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
377.0ms
(* (* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (+ (sqrt 1.0) v)) (- (sqrt 1.0) v))
24.0ms
(* 3.0 (* v v))

simplify63.0ms

Algorithm
egg-herbie
Counts
206 → 206
Iterations

Useful iterations: 1 (32.0ms)

IterNodesCost
014253299
150013169

prune621.0ms

Filtered
206 candidates to 160 candidates (77.7%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New2060206
Fresh011
Picked011
Done011
Total2063209

Merged error: 0b

Counts
209 → 3

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b
(cbrt (- 1.0 (* 3.0 (* v v))))
0.0b
(* (sqrt 2.0) (fabs (cbrt (- 1.0 (* 3.0 (* v v))))))
0.2b
(* 3.0 (* v v))
0.2b
(* 3.0 (* v v))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
16×pow1 add-exp-log add-sqr-sqrt add-cbrt-cube
12×associate-*l*
10×add-cube-cbrt *-un-lft-identity
7×pow-prod-down prod-exp cbrt-unprod
5×associate-*r*
4×sqrt-prod add-log-exp unswap-sqr
3×cbrt-prod *-commutative
2×cbrt-div
1×flip3-- pow1/3 flip--
Counts
4 → 73
Calls
4 calls:
2.0ms
(cbrt (- 1.0 (* 3.0 (* v v))))
5.0ms
(* (sqrt 2.0) (fabs (cbrt (- 1.0 (* 3.0 (* v v))))))
6.0ms
(* 3.0 (* v v))
6.0ms
(* 3.0 (* v v))

series333.0ms

Counts
4 → 12
Calls
4 calls:
239.0ms
(cbrt (- 1.0 (* 3.0 (* v v))))
40.0ms
(* (sqrt 2.0) (fabs (cbrt (- 1.0 (* 3.0 (* v v))))))
29.0ms
(* 3.0 (* v v))
24.0ms
(* 3.0 (* v v))

simplify40.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0362599
11304545
25001521

prune224.0ms

Filtered
85 candidates to 58 candidates (68.2%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New85085
Fresh000
Picked011
Done022
Total85388

Merged error: 0b

Counts
88 → 3

regimes49.0ms

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
01710
11710

end0.0ms

sample970.0ms

Algorithm
intervals
Results
394.0ms8000×body80valid
387.0ms7948×body80nan

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