Details

Time bar (total: 2.0s)

analyze315.0ms

Algorithm
search

sample14.0ms

Algorithm
intervals
Results
6.0ms256×body80valid
0.0ms20×body80invalid

simplify75.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0103
1173
2313
3463
4533
5623
6803
71183
82353
94673
107503
1111363
1218183
1350023

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

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:
3.0ms
(+ x (* y (- z x)))
8.0ms
(* y (- z x))

series21.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(+ x (* y (- z x)))
14.0ms
(* y (- z x))

simplify82.0ms

Algorithm
egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0172180
1731165
23520165
35001165

prune47.0ms

Filtered
29 candidates to 47 candidates (-62.1%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New44347
Fresh000
Picked011
Done000
Total44448

Merged error: 0b

Counts
48 → 4

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (+ (* y z) (* y (neg x))))
0.0b
(+ (* y z) (* y (neg x)))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
9×add-log-exp
4×*-un-lft-identity sum-log distribute-rgt-neg-out
2×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt associate-+r- flip3-+ unsub-neg add-cbrt-cube flip-+ distribute-lft-out
1×associate-+r+
Counts
2 → 30
Calls
2 calls:
5.0ms
(+ x (+ (* y z) (* y (neg x))))
3.0ms
(+ (* y z) (* y (neg x)))

series13.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(+ x (+ (* y z) (* y (neg x))))
7.0ms
(+ (* y z) (* y (neg x)))

simplify103.0ms

Algorithm
egg-herbie
Counts
36 → 36
Iterations

Useful iterations: 2 (21.0ms)

IterNodesCost
0181209
1786168
23584162
35001162

prune35.0ms

Filtered
24 candidates to 36 candidates (-50.0%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New36036
Fresh022
Picked011
Done011
Total36440

Merged error: 0b

Counts
40 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (* y (- z x)))
0.3b
(* (* y (- z x)) (* y (- z x)))
5.4b
(- (* x x) (* (* y (- z x)) (* y (- z x))))
27.7b
(/ (- (* x x) (* (* y (- z x)) (* y (- z x)))) (- x (* y (- z x))))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
43×pow1
18×add-exp-log distribute-rgt-in distribute-lft-in add-cbrt-cube
17×pow-prod-down
14×associate-*r/
13×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
12×sub-neg times-frac associate--r+
10×flip3-- flip--
8×prod-exp cbrt-unprod add-log-exp
5×difference-of-squares
4×frac-times pow-sqr pow-prod-up associate-/l*
3×associate-/r*
2×pow-plus diff-log associate-*l/ associate-/r/ associate-/l/
1×cbrt-undiv pow2 frac-2neg div-sub swap-sqr div-exp associate-*r* associate-*l* clear-num *-commutative div-inv
Counts
4 → 123
Calls
4 calls:
3.0ms
(- x (* y (- z x)))
11.0ms
(* (* y (- z x)) (* y (- z x)))
4.0ms
(- (* x x) (* (* y (- z x)) (* y (- z x))))
7.0ms
(/ (- (* x x) (* (* y (- z x)) (* y (- z x)))) (- x (* y (- z x))))

series77.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(- x (* y (- z x)))
9.0ms
(* (* y (- z x)) (* y (- z x)))
21.0ms
(- (* x x) (* (* y (- z x)) (* y (- z x))))
40.0ms
(/ (- (* x x) (* (* y (- z x)) (* y (- z x)))) (- x (* y (- z x))))

simplify70.0ms

Algorithm
egg-herbie
Counts
135 → 135
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
05391253
125261096
250011078

prune90.0ms

Filtered
79 candidates to 135 candidates (-70.9%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1350135
Fresh011
Picked011
Done022
Total1354139

Merged error: 0b

Counts
139 → 4

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (* (* y (sqrt (- z x))) (sqrt (- z x))))
0.1b
(* y (sqrt (- z x)))
0.2b
(* (* y (sqrt (- z x))) (sqrt (- z x)))

rewrite22.0ms

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:
2.0ms
(+ x (* (* y (sqrt (- z x))) (sqrt (- z x))))
7.0ms
(* y (sqrt (- z x)))
11.0ms
(* (* y (sqrt (- z x))) (sqrt (- z x)))

series33.0ms

Counts
3 → 9
Calls
3 calls:
10.0ms
(+ x (* (* y (sqrt (- z x))) (sqrt (- z x))))
16.0ms
(* y (sqrt (- z x)))
7.0ms
(* (* y (sqrt (- z x))) (sqrt (- z x)))

simplify48.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0351546
11586457
25001444

prune59.0ms

Filtered
48 candidates to 77 candidates (-60.4%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New77077
Fresh000
Picked011
Done033
Total77481

Merged error: 0b

Counts
81 → 4

regimes192.0ms

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
083
183

end0.0ms

analyze277.0ms

Algorithm
search

sample338.0ms

Algorithm
intervals
Results
171.0ms8000×body80valid
15.0ms606×body80invalid

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