Details

Time bar (total: 2.7s)

analyze269.0ms

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
0%99.9%0.1%6
12.5%87.4%0.1%7
31.2%68.6%0.1%8
35.9%60.8%3.3%9
44.1%48%7.9%10
54.8%36.9%8.3%11
57.6%31.5%10.9%12
61.9%24%14.1%13
67.2%18.6%14.2%14

sample27.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify26.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (25.0ms)

IterNodesCost
07339
17339

prune6.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 2.3b

Counts
2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- 1.0 y) z)
2.1b
(* x (- 1.0 (* (- 1.0 y) z)))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
8×*-un-lft-identity associate-*l*
6×pow1 add-exp-log add-cube-cbrt associate-*r* add-cbrt-cube
2×sub-neg flip3-- associate-*r/ pow-prod-down associate-*l/ prod-exp *-commutative flip-- cbrt-unprod add-log-exp unswap-sqr
1×distribute-rgt-in distribute-lft-in distribute-lft-out-- difference-of-squares
Counts
2 → 44
Calls
2 calls:
6.0ms
(* (- 1.0 y) z)
5.0ms
(* x (- 1.0 (* (- 1.0 y) z)))

series15.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(* (- 1.0 y) z)
10.0ms
(* x (- 1.0 (* (- 1.0 y) z)))

simplify32.0ms

Algorithm
egg-herbie
Counts
50 → 50
Iterations

Useful iterations: 0 (27.0ms)

IterNodesCost
04969430
14969430

prune75.0ms

Filtered
36 candidates to 50 candidates (-38.9%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New45550
Fresh000
Picked011
Done000
Total45651

Merged error: 2.2b

Counts
51 → 6

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt
3×pow1 add-exp-log add-cube-cbrt *-un-lft-identity associate-*r* associate-*l* add-cbrt-cube
2×sub-neg associate-*r/
1×distribute-rgt-in flip3-- distribute-lft-in pow-prod-down prod-exp *-commutative flip-- cbrt-unprod add-log-exp unswap-sqr
Counts
1 → 22
Calls
1 calls:
5.0ms
(* x (- 1.0 (* 1.0 z)))

series6.0ms

Counts
1 → 3
Calls
1 calls:
6.0ms
(* x (- 1.0 (* 1.0 z)))

simplify36.0ms

Algorithm
egg-herbie
Counts
25 → 25
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
05079216

prune53.0ms

Filtered
16 candidates to 25 candidates (-56.3%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New20525
Fresh134
Picked101
Done011
Total22931

Merged error: 2.2b

Counts
31 → 9

localize8.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (cbrt (- 1.0 (* 1.0 z))) (cbrt (- 1.0 (* 1.0 z))))
0.2b
(cbrt (- 1.0 (* 1.0 z)))
0.2b
(cbrt (- 1.0 (* 1.0 z)))
0.2b
(cbrt (- 1.0 (* 1.0 z)))

rewrite17.0ms

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:
8.0ms
(* (cbrt (- 1.0 (* 1.0 z))) (cbrt (- 1.0 (* 1.0 z))))
2.0ms
(cbrt (- 1.0 (* 1.0 z)))
2.0ms
(cbrt (- 1.0 (* 1.0 z)))
2.0ms
(cbrt (- 1.0 (* 1.0 z)))

series27.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(* (cbrt (- 1.0 (* 1.0 z))) (cbrt (- 1.0 (* 1.0 z))))
6.0ms
(cbrt (- 1.0 (* 1.0 z)))
6.0ms
(cbrt (- 1.0 (* 1.0 z)))
7.0ms
(cbrt (- 1.0 (* 1.0 z)))

simplify64.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
051281421

prune251.0ms

Filtered
79 candidates to 99 candidates (-25.3%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New95499
Fresh347
Picked101
Done011
Total999108

Merged error: 2.2b

Counts
108 → 9

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (- 1.0 (* 1.0 z)))
0.2b
(cbrt (- 1.0 (* 1.0 z)))
0.2b
(cbrt (- 1.0 (* 1.0 z)))
0.4b
(pow (cbrt (cbrt (- 1.0 (* 1.0 z)))) 5)

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-prod
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×unpow-prod-down
6×cbrt-div
5×pow1 add-exp-log
4×pow1/3 add-cbrt-cube add-log-exp
3×pow-unpow flip3-- flip--
2×pow-pow
1×pow-to-exp pow-exp sqr-pow
Counts
4 → 63
Calls
4 calls:
2.0ms
(cbrt (- 1.0 (* 1.0 z)))
2.0ms
(cbrt (- 1.0 (* 1.0 z)))
2.0ms
(cbrt (- 1.0 (* 1.0 z)))
5.0ms
(pow (cbrt (cbrt (- 1.0 (* 1.0 z)))) 5)

series38.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(cbrt (- 1.0 (* 1.0 z)))
6.0ms
(cbrt (- 1.0 (* 1.0 z)))
7.0ms
(cbrt (- 1.0 (* 1.0 z)))
19.0ms
(pow (cbrt (cbrt (- 1.0 (* 1.0 z)))) 5)

simplify33.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 0 (25.0ms)

IterNodesCost
051831060

prune415.0ms

Filtered
67 candidates to 75 candidates (-11.9%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New74175
Fresh257
Picked101
Done011
Total77784

Merged error: 2.2b

Counts
84 → 7

regimes426.0ms

Accuracy

0% (0.1b remaining)

Error of 3.5b against oracle of 3.3b and baseline of 3.5b

bsearch0.0ms

simplify5.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (4.0ms)

IterNodesCost
02039
12039

end0.0ms

sample768.0ms

Algorithm
intervals
Results
192.0ms8000×body80valid

Profiling

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