Details

Time bar (total: 4.4s)

sample31.0ms

Algorithm
intervals
Results
10.0ms321×body80valid

simplify76.0ms

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

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt
*-un-lft-identity
associate-*r*
pow1 add-exp-log distribute-rgt-in add-cube-cbrt sub-neg associate-+r+ distribute-lft-in add-cbrt-cube add-log-exp
associate-*l*
associate-*r/
+-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))

series87.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(+ x (* y (- z x)))
53.0ms
(* y (- z x))

simplify86.0ms

Algorithm
egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0172180
1731165
23520165
35001165

prune97.0ms

Filtered
47 candidates to 29 candidates (38.3%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New44347
Fresh000
Picked011
Done000
Total44448

Merged error: 0.0b

Counts
48 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (* y (- z x))) (cbrt (* y (- z x))))
2.8b
(cbrt (* y (- z x)))
2.8b
(cbrt (* y (- z x)))
2.8b
(cbrt (* y (- z x)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
20×associate-*r/
18×cbrt-div
11×pow1
10×add-sqr-sqrt
flip3-- pow1/3 flip--
add-cube-cbrt *-un-lft-identity
cbrt-prod
add-exp-log
frac-times swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp
pow-prod-down associate-*l/ pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 72
Calls
4 calls:
6.0ms
(* (cbrt (* y (- z x))) (cbrt (* y (- z x))))
4.0ms
(cbrt (* y (- z x)))
5.0ms
(cbrt (* y (- z x)))
5.0ms
(cbrt (* y (- z x)))

series795.0ms

Counts
4 → 12
Calls
4 calls:
211.0ms
(* (cbrt (* y (- z x))) (cbrt (* y (- z x))))
202.0ms
(cbrt (* y (- z x)))
188.0ms
(cbrt (* y (- z x)))
194.0ms
(cbrt (* y (- z x)))

simplify106.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 3 (99.0ms)

IterNodesCost
0254606
1837553
23945507
35001496

prune389.0ms

Filtered
84 candidates to 67 candidates (20.2%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New83184
Fresh022
Picked011
Done011
Total83588

Merged error: 0.0b

Counts
88 → 5

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- z x))
0.7b
(cbrt y)
2.8b
(cbrt (* y (- z x)))
2.8b
(cbrt (* y (- z x)))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
10×cbrt-prod
add-sqr-sqrt *-un-lft-identity
add-cube-cbrt cbrt-div
pow1 add-exp-log pow1/3 associate-*r/ add-cbrt-cube add-log-exp
flip3-- flip--
distribute-lft-out-- difference-of-squares
Counts
4 → 48
Calls
4 calls:
3.0ms
(cbrt (- z x))
1.0ms
(cbrt y)
4.0ms
(cbrt (* y (- z x)))
5.0ms
(cbrt (* y (- z x)))

series757.0ms

Counts
4 → 12
Calls
4 calls:
183.0ms
(cbrt (- z x))
199.0ms
(cbrt y)
186.0ms
(cbrt (* y (- z x)))
188.0ms
(cbrt (* y (- z x)))

simplify49.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 3 (45.0ms)

IterNodesCost
0242318
1558296
21850278
35001265

prune352.0ms

Filtered
60 candidates to 52 candidates (13.3%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New60060
Fresh022
Picked011
Done022
Total60565

Merged error: 0.0b

Counts
65 → 5

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
18×distribute-rgt-in distribute-lft-in
14×add-sqr-sqrt
12×associate-*l*
10×pow1 add-exp-log sub-neg *-un-lft-identity add-cbrt-cube
add-cube-cbrt associate-+r+
sqrt-prod
associate-*r/ associate-*r*
add-log-exp
pow-prod-down prod-exp cbrt-unprod
flip3-- *-commutative flip-- unswap-sqr
+-commutative flip3-+ sum-log flip-+ distribute-lft-out-- difference-of-squares
Counts
3 → 80
Calls
3 calls:
4.0ms
(+ x (* (sqrt y) (* (sqrt y) (- z x))))
9.0ms
(* (sqrt y) (* (sqrt y) (- z x)))
7.0ms
(* (sqrt y) (- z x))

series309.0ms

Counts
3 → 9
Calls
3 calls:
75.0ms
(+ x (* (sqrt y) (* (sqrt y) (- z x))))
93.0ms
(* (sqrt y) (* (sqrt y) (- z x)))
141.0ms
(* (sqrt y) (- z x))

simplify44.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0359473
11563404
25002399

prune358.0ms

Filtered
89 candidates to 55 candidates (38.2%)
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New89089
Fresh011
Picked011
Done033
Total89594

Merged error: 0.0b

Counts
94 → 5

regimes225.0ms

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

sample540.0ms

Algorithm
intervals
Results
212.0ms10123×body80valid

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