Details

Time bar (total: 2.1s)

analyze307.0ms

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
23.4%76.5%0.1%8
33.5%63.2%3.3%9
43.3%49.5%7.2%10
48.2%43.9%7.9%11
54.5%34.2%11.3%12
60.6%25.6%13.8%13
63.1%22.8%14.1%14

sample19.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
1.0ms24×body80invalid

simplify13.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (12.0ms)

IterNodesCost
03459
13459

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

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt
6×*-un-lft-identity
5×associate-*r*
4×pow1 add-exp-log add-cube-cbrt sub-neg add-cbrt-cube add-log-exp
3×associate-*l*
2×distribute-rgt-in associate-+r+ distribute-lft-in 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 → 37
Calls
2 calls:
6.0ms
(* z (- 1.0 y))
4.0ms
(+ (* x y) (* z (- 1.0 y)))

series13.0ms

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

simplify40.0ms

Algorithm
egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
05022369

prune85.0ms

Filtered
29 candidates to 43 candidates (-48.3%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New40343
Fresh000
Picked011
Done000
Total40444

Merged error: 0b

Counts
44 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b
(* (cbrt (+ (* x y) (* z (- 1.0 y)))) (cbrt (+ (* x y) (* z (- 1.0 y)))))
0.6b
(cbrt (+ (* x y) (* z (- 1.0 y))))
0.6b
(cbrt (+ (* x y) (* z (- 1.0 y))))
0.6b
(cbrt (+ (* x y) (* z (- 1.0 y))))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×flip3-+ pow1/3 flip-+
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 87
Calls
4 calls:
11.0ms
(* (cbrt (+ (* x y) (* z (- 1.0 y)))) (cbrt (+ (* x y) (* z (- 1.0 y)))))
3.0ms
(cbrt (+ (* x y) (* z (- 1.0 y))))
3.0ms
(cbrt (+ (* x y) (* z (- 1.0 y))))
3.0ms
(cbrt (+ (* x y) (* z (- 1.0 y))))

series189.0ms

Counts
4 → 12
Calls
4 calls:
62.0ms
(* (cbrt (+ (* x y) (* z (- 1.0 y)))) (cbrt (+ (* x y) (* z (- 1.0 y)))))
44.0ms
(cbrt (+ (* x y) (* z (- 1.0 y))))
40.0ms
(cbrt (+ (* x y) (* z (- 1.0 y))))
43.0ms
(cbrt (+ (* x y) (* z (- 1.0 y))))

simplify58.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
049381763
149381763

prune197.0ms

Filtered
74 candidates to 99 candidates (-33.8%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New99099
Fresh022
Picked011
Done011
Total994103

Merged error: 0b

Counts
103 → 4

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt associate-*r*
14×sqrt-div
12×*-un-lft-identity
11×sqrt-prod
10×pow1 add-exp-log associate-*r/ add-cbrt-cube
8×add-cube-cbrt
7×flip3-- flip--
5×add-log-exp
4×frac-times associate-*l* 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:
4.0ms
(+ (* x y) (* (* z (sqrt (- 1.0 y))) (sqrt (- 1.0 y))))
11.0ms
(* (* z (sqrt (- 1.0 y))) (sqrt (- 1.0 y)))
7.0ms
(* z (sqrt (- 1.0 y)))

series21.0ms

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

simplify60.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
04978829
14978829

prune95.0ms

Filtered
49 candidates to 77 candidates (-57.1%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New77077
Fresh011
Picked011
Done022
Total77481

Merged error: 0b

Counts
81 → 4

localize16.0ms

Local error

Found 4 expressions with local error:

2.5b
(+ (* x (* x (* y y))) (* z (* z (* (- 1.0 y) (- y 1.0)))))
2.6b
(* z (* (- 1.0 y) (- y 1.0)))
7.6b
(* x (* y y))
25.5b
(/ (+ (* x (* x (* y y))) (* z (* z (* (- 1.0 y) (- y 1.0))))) (+ (* x y) (* z (- y 1.0))))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
16×add-exp-log distribute-rgt-in distribute-lft-in add-cbrt-cube
15×add-sqr-sqrt
14×pow1 add-cube-cbrt *-un-lft-identity
12×sub-neg
10×associate-*r/
9×times-frac
8×associate-+r+
6×flip3-- associate-*l* pow-prod-down prod-exp flip-- cbrt-unprod add-log-exp
4×frac-times
3×flip3-+ associate-/r* flip-+ associate-/l*
2×associate-*r* associate-*l/ associate-/r/ *-commutative associate-/l/
1×cbrt-undiv +-commutative frac-2neg div-exp clear-num sum-log div-inv unswap-sqr
Counts
4 → 99
Calls
4 calls:
11.0ms
(+ (* x (* x (* y y))) (* z (* z (* (- 1.0 y) (- y 1.0)))))
10.0ms
(* z (* (- 1.0 y) (- y 1.0)))
5.0ms
(* x (* y y))
12.0ms
(/ (+ (* x (* x (* y y))) (* z (* z (* (- 1.0 y) (- y 1.0))))) (+ (* x y) (* z (- y 1.0))))

series76.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(+ (* x (* x (* y y))) (* z (* z (* (- 1.0 y) (- y 1.0)))))
6.0ms
(* z (* (- 1.0 y) (- y 1.0)))
6.0ms
(* x (* y y))
38.0ms
(/ (+ (* x (* x (* y y))) (* z (* z (* (- 1.0 y) (- y 1.0))))) (+ (* x y) (* z (- y 1.0))))

simplify48.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
053992234

prune167.0ms

Filtered
80 candidates to 111 candidates (-38.8%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New1110111
Fresh000
Picked011
Done033
Total1114115

Merged error: 0b

Counts
115 → 4

regimes185.0ms

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
0219
1219

end0.0ms

sample422.0ms

Algorithm
intervals
Results
222.0ms8000×body80valid
18.0ms661×body80invalid

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