Details

Time bar (total: 2.0s)

analyze290.0ms

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
1.0ms22×body80invalid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0119
1119

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

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt
6×*-un-lft-identity
5×associate-*l*
4×pow1 add-exp-log add-cube-cbrt add-cbrt-cube add-log-exp
3×associate-*r*
2×associate-*l/
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 → 33
Calls
2 calls:
6.0ms
(* (- 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))

simplify53.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
05759345

prune57.0ms

Filtered
26 candidates to 39 candidates (-50.0%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New34539
Fresh000
Picked011
Done000
Total34640

Merged error: 0.0b

Counts
40 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt z) (cbrt z))
0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
5.0ms
(* (cbrt z) (cbrt z))
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)

series91.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* (cbrt z) (cbrt z))
22.0ms
(cbrt z)
23.0ms
(cbrt z)
21.0ms
(cbrt z)

simplify42.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
05084341

prune76.0ms

Filtered
50 candidates to 85 candidates (-70.0%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New85085
Fresh044
Picked011
Done011
Total85691

Merged error: 0.0b

Counts
91 → 6

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite23.0ms

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
9×associate-*r*
8×add-cube-cbrt
7×flip3-- flip--
5×add-log-exp
4×frac-times pow-prod-down prod-exp cbrt-unprod
2×associate-*l/ *-commutative distribute-lft-out-- difference-of-squares unswap-sqr
1×+-commutative flip3-+ sum-log flip-+
Counts
3 → 68
Calls
3 calls:
3.0ms
(+ (* x y) (* (sqrt (- 1.0 x)) (* z (sqrt (- 1.0 x)))))
7.0ms
(* z (sqrt (- 1.0 x)))
11.0ms
(* (sqrt (- 1.0 x)) (* z (sqrt (- 1.0 x))))

series20.0ms

Counts
3 → 9
Calls
3 calls:
7.0ms
(+ (* 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))))

simplify28.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 0 (22.0ms)

IterNodesCost
05230814

prune105.0ms

Filtered
54 candidates to 77 candidates (-42.6%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New77077
Fresh033
Picked011
Done022
Total77683

Merged error: 0.0b

Counts
83 → 6

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ (* x y) (* (- 1.0 x) z)))
0.0b
(+ (* x y) (* (- 1.0 x) z))
0.0b
(+ (* x y) (* (- 1.0 x) z))
0.3b
(* (sqrt (+ (* x y) (* (- 1.0 x) z))) (sqrt (+ (* x y) (* (- 1.0 x) z))))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
21×sqrt-prod
20×pow1
14×sqrt-div
13×add-cube-cbrt *-un-lft-identity
9×sqrt-pow1 flip3-+ pow1/2 flip-+
8×swap-sqr add-log-exp
6×add-exp-log associate-*r* associate-*l* add-cbrt-cube
5×pow-prod-up
4×frac-times unswap-sqr
3×pow-prod-down pow-sqr
2×+-commutative associate-*r/ associate-*l/ sum-log
1×pow2 rem-sqrt-square pow-plus sqrt-unprod prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 94
Calls
4 calls:
3.0ms
(sqrt (+ (* x y) (* (- 1.0 x) z)))
4.0ms
(+ (* x y) (* (- 1.0 x) z))
4.0ms
(+ (* x y) (* (- 1.0 x) z))
12.0ms
(* (sqrt (+ (* x y) (* (- 1.0 x) z))) (sqrt (+ (* x y) (* (- 1.0 x) z))))

series40.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(sqrt (+ (* x y) (* (- 1.0 x) z)))
7.0ms
(+ (* x y) (* (- 1.0 x) z))
8.0ms
(+ (* x y) (* (- 1.0 x) z))
8.0ms
(* (sqrt (+ (* x y) (* (- 1.0 x) z))) (sqrt (+ (* x y) (* (- 1.0 x) z))))

simplify46.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
053391488

prune112.0ms

Filtered
59 candidates to 106 candidates (-79.7%)
Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New1051106
Fresh022
Picked011
Done033
Total1057112

Merged error: 0.0b

Counts
112 → 7

regimes239.0ms

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
0119
1119

end0.0ms

analyze286.0ms

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

sample409.0ms

Algorithm
intervals
Results
226.0ms8000×body80valid
18.0ms673×body80invalid

Profiling

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