Details

Time bar (total: 2.2s)

analyze5.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
0%50%50%3
25%25%50%4
37.5%12.5%50%5
43.7%6.2%50%6
46.9%3.1%50%7
48.4%1.6%50%8
49.2%0.8%50%9
49.6%0.4%50%10
49.8%0.2%50%11
49.9%0.1%50%12
49.9%0%50.1%13
49.9%0%50.1%14

sample19.0ms

Algorithm
intervals
Results
12.0ms256×body80valid

simplify179.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (177.0ms)

IterNodesCost
0236419
1236419

prune8.0ms

Filtered
1 candidates to 1 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 → 2

localize15.0ms

Local error

Found 3 expressions with local error:

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

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
30×add-sqr-sqrt
22×add-exp-log add-cbrt-cube
18×associate-*r*
16×add-cube-cbrt *-un-lft-identity
15×pow1 associate-*l*
14×times-frac
10×prod-exp cbrt-unprod
8×sqrt-div sqrt-prod
7×associate-*r/ pow-prod-down
5×unswap-sqr
4×frac-times flip3-- associate-*l/ flip--
3×*-commutative add-log-exp difference-of-squares
2×cbrt-undiv div-exp
1×div-inv
Counts
3 → 91
Calls
3 calls:
12.0ms
(* (sqrt 2.0) (* (sqrt (- 1.0 (* 3.0 (* v v)))) (/ (- 1.0 (* v v)) 4.0)))
11.0ms
(* (sqrt (- 1.0 (* 3.0 (* v v)))) (/ (- 1.0 (* v v)) 4.0))
5.0ms
(* 3.0 (* v v))

series28.0ms

Counts
3 → 9
Calls
3 calls:
14.0ms
(* (sqrt 2.0) (* (sqrt (- 1.0 (* 3.0 (* v v)))) (/ (- 1.0 (* v v)) 4.0)))
11.0ms
(* (sqrt (- 1.0 (* 3.0 (* v v)))) (/ (- 1.0 (* v v)) 4.0))
3.0ms
(* 3.0 (* v v))

simplify49.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
050241819

prune183.0ms

Filtered
71 candidates to 100 candidates (-40.8%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New982100
Fresh011
Picked101
Done000
Total993102

Merged error: 0b

Counts
102 → 3

localize10.0ms

Local error

Found 3 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)))))
0.2b
(* 3.0 (* v v))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt
26×associate-*l*
22×add-exp-log times-frac add-cbrt-cube
20×add-cube-cbrt *-un-lft-identity
18×frac-times
17×sqrt-prod
16×sqrt-div
15×pow1
14×flip3-- flip--
11×associate-*r*
10×associate-*r/ prod-exp cbrt-unprod
9×associate-*l/
7×pow-prod-down unswap-sqr
3×*-commutative add-log-exp
2×cbrt-undiv sub-neg div-exp
1×distribute-rgt-in distribute-lft-in div-inv difference-of-squares
Counts
3 → 111
Calls
3 calls:
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)))))
5.0ms
(* 3.0 (* v v))

series29.0ms

Counts
3 → 9
Calls
3 calls:
17.0ms
(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
9.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
3.0ms
(* 3.0 (* v v))

simplify36.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 0 (22.0ms)

IterNodesCost
052422330

prune219.0ms

Filtered
85 candidates to 120 candidates (-41.2%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1200120
Fresh022
Picked011
Done000
Total1203123

Merged error: 0b

Counts
123 → 3

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (sqrt 2.0) (cbrt (pow (* (sqrt (- 1.0 (* 3.0 (* v v)))) (/ (- 1.0 (* v v)) 4.0)) 3)))
0.0b
(pow (* (sqrt (- 1.0 (* 3.0 (* v v)))) (/ (- 1.0 (* v v)) 4.0)) 3)
0.2b
(* 3.0 (* v v))
1.0b
(cbrt (pow (* (sqrt (- 1.0 (* 3.0 (* v v)))) (/ (- 1.0 (* v v)) 4.0)) 3))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt
20×cbrt-prod
17×add-exp-log
16×add-cbrt-cube
15×cube-div
14×pow1
12×sqrt-div associate-*r*
11×add-cube-cbrt *-un-lft-identity
10×cbrt-div
9×associate-*l*
8×associate-*r/
7×unswap-sqr
6×frac-times flip3-- associate-*l/ prod-exp sqrt-prod flip-- cbrt-unprod
5×pow-prod-down sqr-pow
4×add-log-exp
3×cube-mult unpow-prod-down pow-unpow unpow3 cube-prod pow-exp rem-cube-cbrt
2×pow-pow *-commutative
1×cbrt-undiv pow-to-exp pow1/3 div-exp rem-cbrt-cube
Counts
4 → 109
Calls
4 calls:
8.0ms
(* (sqrt 2.0) (cbrt (pow (* (sqrt (- 1.0 (* 3.0 (* v v)))) (/ (- 1.0 (* v v)) 4.0)) 3)))
9.0ms
(pow (* (sqrt (- 1.0 (* 3.0 (* v v)))) (/ (- 1.0 (* v v)) 4.0)) 3)
5.0ms
(* 3.0 (* v v))
3.0ms
(cbrt (pow (* (sqrt (- 1.0 (* 3.0 (* v v)))) (/ (- 1.0 (* v v)) 4.0)) 3))

series47.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(* (sqrt 2.0) (cbrt (pow (* (sqrt (- 1.0 (* 3.0 (* v v)))) (/ (- 1.0 (* v v)) 4.0)) 3)))
19.0ms
(pow (* (sqrt (- 1.0 (* 3.0 (* v v)))) (/ (- 1.0 (* v v)) 4.0)) 3)
5.0ms
(* 3.0 (* v v))
9.0ms
(cbrt (pow (* (sqrt (- 1.0 (* 3.0 (* v v)))) (/ (- 1.0 (* v v)) 4.0)) 3))

simplify50.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
050632589

prune256.0ms

Filtered
89 candidates to 121 candidates (-36.0%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1210121
Fresh011
Picked011
Done011
Total1213124

Merged error: 0b

Counts
124 → 3

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(exp (sqrt (- 1.0 (* 3.0 (* v v)))))
0.0b
(* (sqrt 2.0) (log (pow (exp (sqrt (- 1.0 (* 3.0 (* v v))))) (/ (- 1.0 (* v v)) 4.0))))
0.2b
(* 3.0 (* v v))
2.0b
(log (pow (exp (sqrt (- 1.0 (* 3.0 (* v v))))) (/ (- 1.0 (* v v)) 4.0)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt log-prod
16×add-cube-cbrt *-un-lft-identity
12×add-exp-log
11×pow1 add-cbrt-cube
9×unpow-prod-down associate-*l*
7×distribute-rgt-in distribute-lft-in sqrt-prod
6×exp-prod
5×associate-*r* add-log-exp
4×pow-prod-down prod-exp cbrt-unprod
3×rem-log-exp unswap-sqr sqr-pow
2×log-pow *-commutative
1×pow-to-exp log-div div-sub pow-exp rem-exp-log pow-sub
Counts
4 → 89
Calls
4 calls:
4.0ms
(exp (sqrt (- 1.0 (* 3.0 (* v v)))))
8.0ms
(* (sqrt 2.0) (log (pow (exp (sqrt (- 1.0 (* 3.0 (* v v))))) (/ (- 1.0 (* v v)) 4.0))))
5.0ms
(* 3.0 (* v v))
4.0ms
(log (pow (exp (sqrt (- 1.0 (* 3.0 (* v v))))) (/ (- 1.0 (* v v)) 4.0)))

series78.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(exp (sqrt (- 1.0 (* 3.0 (* v v)))))
37.0ms
(* (sqrt 2.0) (log (pow (exp (sqrt (- 1.0 (* 3.0 (* v v))))) (/ (- 1.0 (* v v)) 4.0))))
3.0ms
(* 3.0 (* v v))
33.0ms
(log (pow (exp (sqrt (- 1.0 (* 3.0 (* v v))))) (/ (- 1.0 (* v v)) 4.0)))

simplify57.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
049991902
149991902

prune165.0ms

Filtered
64 candidates to 101 candidates (-57.8%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1010101
Fresh000
Picked011
Done022
Total1013104

Merged error: 0b

Counts
104 → 3

regimes83.0ms

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 (1.0ms)

IterNodesCost
05319
15319

end0.0ms

sample500.0ms

Algorithm
intervals
Results
401.0ms8000×body80valid
0.0ms3×body80nan

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