Details

Time bar (total: 2.0s)

analyze301.0ms

Algorithm
search

sample16.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
0.0ms16×body80invalid

simplify38.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0134
1204
2344
3494
4574
5694
6904
71274
81764
93044
104394
114494
124494

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

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt
6×*-un-lft-identity
5×associate-*r*
4×pow1 add-exp-log distribute-rgt-in add-cube-cbrt sub-neg associate-+r+ distribute-lft-in add-cbrt-cube add-log-exp
3×associate-*l*
2×associate-*r/
1×+-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 → 41
Calls
2 calls:
4.0ms
(+ (* x y) (* z (- 1.0 y)))
6.0ms
(* z (- 1.0 y))

series13.0ms

Counts
2 → 6
Calls
2 calls:
8.0ms
(+ (* x y) (* z (- 1.0 y)))
5.0ms
(* z (- 1.0 y))

simplify92.0ms

Algorithm
egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0194208
1748188
23250188
35001188

prune56.0ms

Filtered
30 candidates to 47 candidates (-56.7%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New44347
Fresh000
Picked011
Done000
Total44448

Merged error: 0.0b

Counts
48 → 4

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt
6×*-un-lft-identity
5×associate-*r*
4×pow1 add-exp-log distribute-rgt-in add-cube-cbrt sub-neg associate-+r+ distribute-lft-in add-cbrt-cube add-log-exp
3×associate-*l*
2×associate-*r/
1×+-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 → 41
Calls
2 calls:
6.0ms
(* y (- x z))
4.0ms
(+ (* z 1.0) (* y (- x z)))

series14.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(* y (- x z))
7.0ms
(+ (* z 1.0) (* y (- x z)))

simplify112.0ms

Algorithm
egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0195202
1878188
24352188
35001188

prune46.0ms

Filtered
30 candidates to 47 candidates (-56.7%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New45247
Fresh202
Picked101
Done011
Total48351

Merged error: 0b

Counts
51 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* z 1.0) (* (sqrt (* y (- x z))) (sqrt (* y (- x z)))))
0.2b
(* (sqrt (* y (- x z))) (sqrt (* y (- x z))))
2.3b
(sqrt (* y (- x z)))
2.3b
(sqrt (* y (- x z)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
59×pow1
32×sqrt-pow1
22×pow-prod-down
18×associate-*r/
16×sqrt-div
12×pow1/2
10×add-sqr-sqrt pow-prod-up
8×add-cube-cbrt flip3-- *-un-lft-identity flip--
6×add-exp-log sqrt-prod pow-sqr add-cbrt-cube add-log-exp
4×frac-times swap-sqr associate-*r* associate-*l*
2×associate-*l/
1×+-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:
3.0ms
(+ (* z 1.0) (* (sqrt (* y (- x z))) (sqrt (* y (- x z)))))
12.0ms
(* (sqrt (* y (- x z))) (sqrt (* y (- x z))))
4.0ms
(sqrt (* y (- x z)))
4.0ms
(sqrt (* y (- x z)))

series70.0ms

Counts
4 → 12
Calls
4 calls:
11.0ms
(+ (* z 1.0) (* (sqrt (* y (- x z))) (sqrt (* y (- x z)))))
28.0ms
(* (sqrt (* y (- x z))) (sqrt (* y (- x z))))
15.0ms
(sqrt (* y (- x z)))
17.0ms
(sqrt (* y (- x z)))

simplify48.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0277602
11279525
25002505

prune84.0ms

Filtered
66 candidates to 106 candidates (-60.6%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1060106
Fresh011
Picked011
Done011
Total1063109

Merged error: 0b

Counts
109 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
16×*-un-lft-identity sqrt-div associate-*r* sqrt-prod
12×pow1
11×add-exp-log add-cbrt-cube
10×add-cube-cbrt associate-*r/
8×flip3-- flip--
6×add-log-exp
4×frac-times associate-*l* pow-prod-down prod-exp cbrt-unprod
3×distribute-lft-out-- difference-of-squares
2×associate-*l/ *-commutative unswap-sqr
1×+-commutative rem-sqrt-square sqrt-pow1 flip3-+ pow1/2 sum-log flip-+
Counts
4 → 85
Calls
4 calls:
3.0ms
(sqrt (- x z))
3.0ms
(+ (* z 1.0) (* (* y (sqrt (- x z))) (sqrt (- x z))))
7.0ms
(* y (sqrt (- x z)))
11.0ms
(* (* y (sqrt (- x z))) (sqrt (- x z)))

series40.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(sqrt (- x z))
7.0ms
(+ (* z 1.0) (* (* y (sqrt (- x z))) (sqrt (- x z))))
17.0ms
(* y (sqrt (- x z)))
7.0ms
(* (* y (sqrt (- x z))) (sqrt (- x z)))

simplify51.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0409656
11864569
25001556

prune80.0ms

Filtered
64 candidates to 97 candidates (-51.6%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New97097
Fresh000
Picked011
Done022
Total973100

Merged error: 0b

Counts
100 → 3

regimes169.0ms

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
0114
1114

end0.0ms

analyze294.0ms

Algorithm
search

sample412.0ms

Algorithm
intervals
Results
228.0ms8000×body80valid
20.0ms739×body80invalid

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