Details

Time bar (total: 2.0s)

analyze287.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
6.2%93.6%0.1%6
15.6%84.3%0.1%7
29.6%70.2%0.1%8
33.5%63.2%3.3%9
43.3%49.5%7.2%10
52.1%39.2%8.7%11
54.5%34.2%11.3%12
60.6%25.6%13.8%13
65.2%20.4%14.4%14

sample16.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
0.0ms15×body80invalid

simplify13.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (11.0ms)

IterNodesCost
03459
13459

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- 1.0 x) z)
0.0b
(+ (* x y) (* (- 1.0 x) z))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt
*-un-lft-identity
associate-*l*
pow1 add-exp-log add-cube-cbrt add-cbrt-cube add-log-exp
associate-*r*
associate-*l/
+-commutative flip3-- flip3-+ pow-prod-down prod-exp sum-log *-commutative flip-- cbrt-unprod flip-+ distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 33
Calls
2 calls:
9.0ms
(* (- 1.0 x) z)
4.0ms
(+ (* x y) (* (- 1.0 x) z))

series12.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(* (- 1.0 x) z)
8.0ms
(+ (* x y) (* (- 1.0 x) z))

simplify39.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
05197345

prune61.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New36339
Fresh000
Picked011
Done000
Total36440

Merged error: 0.0b

Counts
40 → 4

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x y) (* (sqrt (- 1.0 x)) (* z (sqrt (- 1.0 x)))))
0.1b
(* z (sqrt (- 1.0 x)))
0.1b
(* (sqrt (- 1.0 x)) (* z (sqrt (- 1.0 x))))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
14×sqrt-div
12×*-un-lft-identity
11×associate-*l* sqrt-prod
10×pow1 add-exp-log associate-*r/ add-cbrt-cube
associate-*r*
add-cube-cbrt
flip3-- flip--
add-log-exp
frac-times pow-prod-down prod-exp cbrt-unprod
associate-*l/ *-commutative distribute-lft-out-- difference-of-squares unswap-sqr
+-commutative flip3-+ sum-log flip-+
Counts
3 → 68
Calls
3 calls:
4.0ms
(+ (* x y) (* (sqrt (- 1.0 x)) (* z (sqrt (- 1.0 x)))))
7.0ms
(* z (sqrt (- 1.0 x)))
12.0ms
(* (sqrt (- 1.0 x)) (* z (sqrt (- 1.0 x))))

series21.0ms

Counts
3 → 9
Calls
3 calls:
8.0ms
(+ (* x y) (* (sqrt (- 1.0 x)) (* z (sqrt (- 1.0 x)))))
8.0ms
(* z (sqrt (- 1.0 x)))
5.0ms
(* (sqrt (- 1.0 x)) (* z (sqrt (- 1.0 x))))

simplify46.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
04967824
14967824

prune133.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New77077
Fresh022
Picked011
Done011
Total77481

Merged error: 0.0b

Counts
81 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (* (- 1.0 x) z))
0.0b
(sqrt (* (- 1.0 x) z))
0.0b
(+ (* x y) (* (sqrt (* (- 1.0 x) z)) (sqrt (* (- 1.0 x) z))))
0.2b
(* (sqrt (* (- 1.0 x) z)) (sqrt (* (- 1.0 x) z)))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
59×pow1
32×sqrt-pow1
22×pow-prod-down
18×associate-*l/
16×sqrt-div
12×pow1/2
10×add-sqr-sqrt pow-prod-up
add-cube-cbrt flip3-- *-un-lft-identity flip--
add-exp-log sqrt-prod pow-sqr add-cbrt-cube add-log-exp
frac-times swap-sqr associate-*r* associate-*l*
associate-*r/
+-commutative pow2 flip3-+ pow-plus sqrt-unprod prod-exp sum-log rem-square-sqrt *-commutative cbrt-unprod flip-+ unswap-sqr
Counts
4 → 94
Calls
4 calls:
5.0ms
(sqrt (* (- 1.0 x) z))
5.0ms
(sqrt (* (- 1.0 x) z))
4.0ms
(+ (* x y) (* (sqrt (* (- 1.0 x) z)) (sqrt (* (- 1.0 x) z))))
14.0ms
(* (sqrt (* (- 1.0 x) z)) (sqrt (* (- 1.0 x) z)))

series47.0ms

Counts
4 → 12
Calls
4 calls:
12.0ms
(sqrt (* (- 1.0 x) z))
12.0ms
(sqrt (* (- 1.0 x) z))
10.0ms
(+ (* x y) (* (sqrt (* (- 1.0 x) z)) (sqrt (* (- 1.0 x) z))))
13.0ms
(* (sqrt (* (- 1.0 x) z)) (sqrt (* (- 1.0 x) z)))

simplify62.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
04958884
14958884

prune171.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1051106
Fresh011
Picked011
Done022
Total1055110

Merged error: 0.0b

Counts
110 → 5

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b
(pow (cbrt (sqrt (* (- 1.0 x) z))) 2)
0.3b
(cbrt (sqrt (* (- 1.0 x) z)))
0.3b
(cbrt (sqrt (* (- 1.0 x) z)))
0.5b
(pow (cbrt (sqrt (* (- 1.0 x) z))) 4)

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
16×cbrt-prod
14×unpow-prod-down
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
pow1 add-exp-log pow-unpow
cbrt-div pow-pow pow1/3 sqrt-div associate-*l/ sqrt-prod add-cbrt-cube add-log-exp
pow-to-exp flip3-- pow-exp flip-- sqr-pow
unpow2
Counts
4 → 73
Calls
4 calls:
4.0ms
(pow (cbrt (sqrt (* (- 1.0 x) z))) 2)
6.0ms
(cbrt (sqrt (* (- 1.0 x) z)))
6.0ms
(cbrt (sqrt (* (- 1.0 x) z)))
4.0ms
(pow (cbrt (sqrt (* (- 1.0 x) z))) 4)

series106.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(pow (cbrt (sqrt (* (- 1.0 x) z))) 2)
23.0ms
(cbrt (sqrt (* (- 1.0 x) z)))
20.0ms
(cbrt (sqrt (* (- 1.0 x) z)))
35.0ms
(pow (cbrt (sqrt (* (- 1.0 x) z))) 4)

simplify41.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (31.0ms)

IterNodesCost
051221225

prune254.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New85085
Fresh011
Picked011
Done033
Total85590

Merged error: 0.0b

Counts
90 → 5

regimes206.0ms

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
0219
1219

end0.0ms

sample389.0ms

Algorithm
intervals
Results
211.0ms8000×body80valid
18.0ms622×body80invalid

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