Details

Time bar (total: 3.1s)

analyze275.0ms

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

sample16.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
1.0ms25×body80invalid

simplify224.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0144
1344
2844
32064
44064
55404
67064
79574
814584
923844
1033754
1137624
1243764
1350024

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 2.9b

Counts
2 → 1

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(- 1.0 (* (- 1.0 y) z))
0.0b
(* (- 1.0 y) z)
2.7b
(* x (- 1.0 (* (- 1.0 y) z)))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
9×*-un-lft-identity
8×associate-*l*
7×pow1 add-exp-log add-cube-cbrt add-cbrt-cube
6×associate-*r*
5×add-log-exp
3×sub-neg flip3-- flip--
2×distribute-rgt-in distribute-lft-in associate-*r/ pow-prod-down associate-*l/ prod-exp *-commutative cbrt-unprod unswap-sqr
1×diff-log distribute-lft-out-- difference-of-squares
Counts
3 → 58
Calls
3 calls:
3.0ms
(- 1.0 (* (- 1.0 y) z))
7.0ms
(* (- 1.0 y) z)
9.0ms
(* x (- 1.0 (* (- 1.0 y) z)))

series19.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(- 1.0 (* (- 1.0 y) z))
4.0ms
(* (- 1.0 y) z)
10.0ms
(* x (- 1.0 (* (- 1.0 y) z)))

simplify99.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 2 (26.0ms)

IterNodesCost
0233336
1920299
24132288
35001288

prune81.0ms

Filtered
43 candidates to 67 candidates (-55.8%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New62567
Fresh000
Picked011
Done000
Total62668

Merged error: 0.0b

Counts
68 → 6

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x 1.0) (* (* x z) (- y 1.0)))
4.3b
(* (* x z) (- y 1.0))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube
5×add-sqr-sqrt *-un-lft-identity associate-*r*
4×distribute-rgt-in sub-neg associate-+r+ distribute-lft-in add-log-exp
3×add-cube-cbrt pow-prod-down prod-exp cbrt-unprod
2×associate-*r/
1×+-commutative flip3-- flip3-+ associate-*l* sum-log *-commutative flip-- flip-+ distribute-lft-out-- difference-of-squares
Counts
2 → 41
Calls
2 calls:
4.0ms
(+ (* x 1.0) (* (* x z) (- y 1.0)))
7.0ms
(* (* x z) (- y 1.0))

series21.0ms

Counts
2 → 6
Calls
2 calls:
12.0ms
(+ (* x 1.0) (* (* x z) (- y 1.0)))
8.0ms
(* (* x z) (- y 1.0))

simplify39.0ms

Algorithm
egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0257266
11177224
25002219

prune62.0ms

Filtered
30 candidates to 47 candidates (-56.7%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New45247
Fresh134
Picked011
Done101
Total47653

Merged error: 0.0b

Counts
53 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (- y 1.0))
0.2b
(cbrt (- y 1.0))
0.7b
(* (* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (cbrt (- y 1.0)))
3.8b
(* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
70×cbrt-div
42×associate-*r/
35×flip3-- flip--
34×pow1 add-exp-log
32×frac-times
21×pow-prod-down prod-exp add-cbrt-cube cbrt-unprod
16×associate-*l/
15×cbrt-prod
14×add-sqr-sqrt *-un-lft-identity
9×associate-*r*
8×add-cube-cbrt
4×add-log-exp
3×distribute-lft-out-- difference-of-squares
2×pow1/3 associate-*l* *-commutative
Counts
4 → 118
Calls
4 calls:
3.0ms
(cbrt (- y 1.0))
3.0ms
(cbrt (- y 1.0))
23.0ms
(* (* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (cbrt (- y 1.0)))
23.0ms
(* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))

series69.0ms

Counts
4 → 12
Calls
4 calls:
13.0ms
(cbrt (- y 1.0))
13.0ms
(cbrt (- y 1.0))
14.0ms
(* (* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (cbrt (- y 1.0)))
29.0ms
(* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))

simplify85.0ms

Algorithm
egg-herbie
Counts
130 → 130
Iterations

Useful iterations: 2 (65.0ms)

IterNodesCost
06641639
125771433
250021371

prune236.0ms

Filtered
77 candidates to 130 candidates (-68.8%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1300130
Fresh044
Picked011
Done011
Total1306136

Merged error: 0.0b

Counts
136 → 6

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x (* z y)) (* (* x z) (neg 1.0)))
0.0b
(+ (* x 1.0) (+ (* x (* z y)) (* (* x z) (neg 1.0))))
6.3b
(* x (* z y))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
10×add-log-exp
8×pow1 add-exp-log add-cbrt-cube
4×add-sqr-sqrt add-cube-cbrt *-un-lft-identity sum-log distribute-rgt-neg-out
3×associate-*l* pow-prod-down prod-exp cbrt-unprod
2×+-commutative associate-+r- flip3-+ unsub-neg flip-+
1×associate-+r+ associate-*r* *-commutative
Counts
3 → 46
Calls
3 calls:
5.0ms
(+ (* x (* z y)) (* (* x z) (neg 1.0)))
7.0ms
(+ (* x 1.0) (+ (* x (* z y)) (* (* x z) (neg 1.0))))
4.0ms
(* x (* z y))

series26.0ms

Counts
3 → 9
Calls
3 calls:
10.0ms
(+ (* x (* z y)) (* (* x z) (neg 1.0)))
10.0ms
(+ (* x 1.0) (+ (* x (* z y)) (* (* x z) (neg 1.0))))
6.0ms
(* x (* z y))

simplify42.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0274370
11218318
25001293

prune93.0ms

Filtered
38 candidates to 55 candidates (-44.7%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New55055
Fresh033
Picked011
Done022
Total55661

Merged error: 0.0b

Counts
61 → 6

regimes609.0ms

Accuracy

95.1% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 1.7b

bsearch271.0ms

Steps
ItersRangePoint
9
1.0408098703117876e-30
9.591250493210355e-23
2.265787835982034e-29
7
-28591923403.78751
-1184312126.3152893
-7549656209.83605

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03513
13913
24613
34613

end0.0ms

analyze294.0ms

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

sample400.0ms

Algorithm
intervals
Results
217.0ms8000×body80valid
17.0ms673×body80invalid

Profiling

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