Details

Time bar (total: 1.7s)

sample26.0ms

Algorithm
intervals
Results
11.0ms317×body80valid

simplify78.0ms

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

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(* y (- z x))
0.0b
(+ x (* 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:
6.0ms
(* y (- z x))
6.0ms
(+ x (* y (- z x)))

series22.0ms

Counts
2 → 6
Calls
2 calls:
8.0ms
(* y (- z x))
14.0ms
(+ x (* y (- z x)))

simplify90.0ms

Algorithm
egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0172180
1731165
23521165
35003165

prune52.0ms

Filtered
47 candidates to 29 candidates (38.3%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New44347
Fresh000
Picked101
Done000
Total45348

Merged error: 0.0b

Counts
48 → 3

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
9×add-log-exp
4×sum-log
2×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt *-un-lft-identity flip3-+ distribute-rgt-neg-out add-cbrt-cube flip-+
1×associate-+l+ unsub-neg
Counts
2 → 26
Calls
2 calls:
2.0ms
(+ x (* z y))
5.0ms
(+ (+ x (* z y)) (* y (neg x)))

series13.0ms

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

simplify86.0ms

Algorithm
egg-herbie
Counts
32 → 32
Iterations

Useful iterations: 3 (82.0ms)

IterNodesCost
0166174
1672155
23139150
35001144

prune38.0ms

Filtered
32 candidates to 23 candidates (28.1%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New32032
Fresh022
Picked011
Done000
Total32335

Merged error: 0.0b

Counts
35 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (* y (- z x)))
0.1b
(sqrt (+ x (* y (- z x))))
0.1b
(sqrt (+ x (* y (- z x))))
0.3b
(* (sqrt (+ x (* y (- z x)))) (sqrt (+ x (* y (- z x)))))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
24×sqrt-prod
21×pow1
16×sqrt-div
14×add-cube-cbrt *-un-lft-identity
10×sqrt-pow1 pow1/2
9×flip3-+ flip-+
8×swap-sqr
6×add-exp-log associate-*r* associate-*l* add-cbrt-cube add-log-exp
5×pow-prod-up
4×frac-times associate-+r+ unswap-sqr
3×pow-prod-down pow-sqr
2×distribute-rgt-in sub-neg rem-sqrt-square distribute-lft-in associate-*r/ associate-*l/
1×+-commutative pow2 pow-plus sqrt-unprod prod-exp sum-log rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 102
Calls
4 calls:
3.0ms
(+ x (* y (- z x)))
2.0ms
(sqrt (+ x (* y (- z x))))
2.0ms
(sqrt (+ x (* y (- z x))))
9.0ms
(* (sqrt (+ x (* y (- z x)))) (sqrt (+ x (* y (- z x)))))

series76.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(+ x (* y (- z x)))
28.0ms
(sqrt (+ x (* y (- z x))))
34.0ms
(sqrt (+ x (* y (- z x))))
7.0ms
(* (sqrt (+ x (* y (- z x)))) (sqrt (+ x (* y (- z x)))))

simplify40.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0233780
1945716
25001696

prune86.0ms

Filtered
114 candidates to 67 candidates (41.2%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1140114
Fresh011
Picked011
Done011
Total1143117

Merged error: 0.0b

Counts
117 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(* y (- z x))
0.0b
(+ x (* y (- z x)))
0.2b
(pow (+ x (* y (- z x))) 3)
34.7b
(cbrt (pow (+ x (* y (- z x))) 3))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
14×*-un-lft-identity
12×cbrt-prod add-cube-cbrt
7×pow1 add-exp-log add-cbrt-cube
6×unpow-prod-down cube-prod add-log-exp
5×associate-*r*
4×cube-div distribute-rgt-in sub-neg associate-+r+ distribute-lft-in
3×pow-unpow flip3-+ associate-*l* flip-+
2×cube-mult cbrt-div unpow3 associate-*r/ sqr-pow
1×+-commutative pow-to-exp flip3-- pow-pow pow1/3 pow-prod-down pow-exp prod-exp sum-log *-commutative flip-- rem-cbrt-cube cbrt-unprod distribute-lft-out-- rem-cube-cbrt difference-of-squares unswap-sqr
Counts
4 → 89
Calls
4 calls:
6.0ms
(* y (- z x))
3.0ms
(+ x (* y (- z x)))
3.0ms
(pow (+ x (* y (- z x))) 3)
3.0ms
(cbrt (pow (+ x (* y (- z x))) 3))

series45.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(* y (- z x))
7.0ms
(+ x (* y (- z x)))
24.0ms
(pow (+ x (* y (- z x))) 3)
7.0ms
(cbrt (pow (+ x (* y (- z x))) 3))

simplify54.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0333549
11720514
25002508

prune87.0ms

Filtered
101 candidates to 57 candidates (43.6%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1010101
Fresh000
Picked011
Done022
Total1013104

Merged error: 0.0b

Counts
104 → 3

regimes235.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0145
1185
2195
3195

end0.0ms

sample586.0ms

Algorithm
intervals
Results
236.0ms10173×body80valid

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