Details

Time bar (total: 1.7s)

analyze305.0ms

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
0.0ms19×body80invalid

simplify27.0ms

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: 4.1b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- 1.0 y) z)
3.9b
(* 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)))

simplify35.0ms

Algorithm
egg-herbie
Counts
50 → 50
Iterations

Useful iterations: 0 (28.0ms)

IterNodesCost
04969430
14969430

prune95.0ms

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

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New391150
Fresh000
Picked101
Done000
Total401151

Merged error: 3.9b

Counts
51 → 11

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x 1.0) (* x (* z (- y 1.0))))
0.0b
(* z (- y 1.0))
3.9b
(* x (* z (- y 1.0)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
10×pow1 add-exp-log add-sqr-sqrt sub-neg add-cbrt-cube
9×distribute-rgt-in distribute-lft-in
8×*-un-lft-identity
6×add-cube-cbrt associate-*r/ associate-*r* associate-*l*
5×add-log-exp
4×associate-+r+ pow-prod-down prod-exp cbrt-unprod
2×flip3-- *-commutative flip--
1×+-commutative flip3-+ sum-log flip-+ distribute-lft-out distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 64
Calls
3 calls:
4.0ms
(+ (* x 1.0) (* x (* z (- y 1.0))))
8.0ms
(* z (- y 1.0))
7.0ms
(* x (* z (- y 1.0)))

series23.0ms

Counts
3 → 9
Calls
3 calls:
10.0ms
(+ (* x 1.0) (* x (* z (- y 1.0))))
4.0ms
(* z (- y 1.0))
8.0ms
(* x (* z (- y 1.0)))

simplify43.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
04997615
14997615

prune80.0ms

Filtered
46 candidates to 73 candidates (-58.7%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New71273
Fresh8210
Picked011
Done000
Total79584

Merged error: 0.0b

Counts
84 → 5

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x 1.0) (* (* x z) (- y 1.0)))
3.8b
(* (* 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×sub-neg add-log-exp
3×add-cube-cbrt pow-prod-down prod-exp cbrt-unprod
2×distribute-rgt-in associate-+r+ distribute-lft-in associate-*r/
1×+-commutative flip3-- flip3-+ associate-*l* sum-log *-commutative flip-- flip-+ distribute-lft-out-- difference-of-squares
Counts
2 → 37
Calls
2 calls:
4.0ms
(+ (* x 1.0) (* (* x z) (- y 1.0)))
7.0ms
(* (* x z) (- y 1.0))

series18.0ms

Counts
2 → 6
Calls
2 calls:
10.0ms
(+ (* x 1.0) (* (* x z) (- y 1.0)))
8.0ms
(* (* x z) (- y 1.0))

simplify39.0ms

Algorithm
egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
04963415
14963415

prune54.0ms

Filtered
30 candidates to 43 candidates (-43.3%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New43043
Fresh033
Picked011
Done011
Total43548

Merged error: 0.0b

Counts
48 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

3.9b
(* x (- 1.0 (* (* (cbrt (* (- 1.0 y) z)) (cbrt (* (- 1.0 y) z))) (cbrt (* (- 1.0 y) z)))))
4.4b
(cbrt (* (- 1.0 y) z))
4.4b
(cbrt (* (- 1.0 y) z))
4.4b
(cbrt (* (- 1.0 y) z))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt
6×pow1 add-exp-log add-cube-cbrt cbrt-div *-un-lft-identity associate-*l/ add-cbrt-cube
4×flip3-- flip-- add-log-exp
3×cbrt-prod pow1/3 associate-*r* associate-*l*
2×sub-neg associate-*r/
1×distribute-rgt-in distribute-lft-in pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 55
Calls
4 calls:
5.0ms
(* x (- 1.0 (* (* (cbrt (* (- 1.0 y) z)) (cbrt (* (- 1.0 y) z))) (cbrt (* (- 1.0 y) z)))))
5.0ms
(cbrt (* (- 1.0 y) z))
5.0ms
(cbrt (* (- 1.0 y) z))
5.0ms
(cbrt (* (- 1.0 y) z))

series68.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(* x (- 1.0 (* (* (cbrt (* (- 1.0 y) z)) (cbrt (* (- 1.0 y) z))) (cbrt (* (- 1.0 y) z)))))
16.0ms
(cbrt (* (- 1.0 y) z))
18.0ms
(cbrt (* (- 1.0 y) z))
17.0ms
(cbrt (* (- 1.0 y) z))

simplify59.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
04916775
14916775

prune132.0ms

Filtered
59 candidates to 67 candidates (-13.6%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New66167
Fresh112
Picked101
Done022
Total68472

Merged error: 0b

Counts
72 → 4

regimes154.0ms

Accuracy

96% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 1.8b

bsearch27.0ms

Steps
ItersRangePoint
8
7.510456399796017e-06
0.020135066194765572
0.003410362954560997
9
-2.8873890999162107e+20
-1556320928583.838
-3.674152695645306e+16

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04141
14141

end0.0ms

sample406.0ms

Algorithm
intervals
Results
220.0ms8000×body80valid
18.0ms685×body80invalid

Profiling

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