Details

Time bar (total: 1.9s)

analyze5.0ms

Algorithm
search

sample18.0ms

Algorithm
intervals
Results
12.0ms256×body80valid

simplify59.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02710
17210
218210
337010
471310
5106610
6120110
7130810
8130810

prune3.0ms

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 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
0.0b
(sqrt (- 1.0 (* 3.0 (* v v))))
0.1b
(* 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:
13.0ms
(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
14.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
2.0ms
(sqrt (- 1.0 (* 3.0 (* v v))))
5.0ms
(* 3.0 (* v v))

series32.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(* (* (/ (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
(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 (72.0ms)

IterNodesCost
08131605
136491515
250011512

prune269.0ms

Filtered
99 candidates to 140 candidates (-41.4%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New1382140
Fresh000
Picked101
Done000
Total1392141

Merged error: 0b

Counts
141 → 2

localize15.0ms

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 (- 1.0 (* 3.0 (* v v))))
0.0b
(exp (log (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))))
0.1b
(* 3.0 (* v v))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
40×add-sqr-sqrt
25×associate-*l*
22×add-cube-cbrt *-un-lft-identity times-frac
20×sqrt-prod
15×pow1
14×add-exp-log add-cbrt-cube
10×sqrt-div
7×associate-*r* unswap-sqr
5×log-div exp-prod flip3-- exp-diff pow-prod-down prod-exp flip-- cbrt-unprod
4×frac-times associate-*r/ add-log-exp
2×associate-*l/ log-pow *-commutative
1×cbrt-undiv rem-sqrt-square log-prod sqrt-pow1 pow1/2 div-exp exp-sum div-inv rem-exp-log
Counts
4 → 105
Calls
4 calls:
11.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
2.0ms
(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))

series31.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
5.0ms
(sqrt (- 1.0 (* 3.0 (* v v))))
13.0ms
(exp (log (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))))
3.0ms
(* 3.0 (* v v))

simplify53.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
05211057
119441011
250021006

prune245.0ms

Filtered
83 candidates to 117 candidates (-41.0%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1170117
Fresh011
Picked011
Done000
Total1172119

Merged error: 0b

Counts
119 → 2

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- 1.0 (* 3.0 (* v v))))
0.1b
(* 3.0 (* v v))
0.1b
(* 3.0 (* v v))
1.0b
(* (sqrt (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))) (sqrt (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
110×sqrt-div
64×pow1
49×frac-times
29×sqrt-pow1 associate-*r/
26×pow-prod-down
25×flip3-- flip--
17×associate-*l/
16×add-exp-log add-sqr-sqrt add-cbrt-cube
11×add-cube-cbrt *-un-lft-identity pow1/2
10×associate-*l* pow-prod-up
7×prod-exp sqrt-prod cbrt-unprod
6×associate-*r* pow-sqr
4×swap-sqr add-log-exp
3×*-commutative unswap-sqr
1×pow2 rem-sqrt-square pow-plus sqrt-unprod rem-square-sqrt
Counts
4 → 137
Calls
4 calls:
2.0ms
(sqrt (- 1.0 (* 3.0 (* v v))))
7.0ms
(* 3.0 (* v v))
5.0ms
(* 3.0 (* v v))
19.0ms
(* (sqrt (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))) (sqrt (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))))

series26.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(sqrt (- 1.0 (* 3.0 (* v v))))
3.0ms
(* 3.0 (* v v))
3.0ms
(* 3.0 (* v v))
14.0ms
(* (sqrt (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))) (sqrt (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))))

simplify69.0ms

Algorithm
egg-herbie
Counts
149 → 149
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
04831840
120791717
250011699

prune296.0ms

Filtered
82 candidates to 149 candidates (-81.7%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1490149
Fresh000
Picked011
Done011
Total1492151

Merged error: 0b

Counts
151 → 2

regimes54.0ms

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 (0.0ms)

IterNodesCost
01912
11912

end0.0ms

analyze5.0ms

Algorithm
search

sample486.0ms

Algorithm
intervals
Results
395.0ms8000×body80valid
0.0ms3×body80nan

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