Details

Time bar (total: 2.0s)

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

sample16.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
0.0ms15×body80invalid

simplify27.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (25.0ms)

IterNodesCost
07339
17339

prune5.0ms

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: 3.1b

Counts
2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(- 1.0 (* (- 1.0 y) z))
0.0b
(* (- 1.0 y) z)
2.9b
(* x (- 1.0 (* (- 1.0 y) z)))

rewrite15.0ms

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×associate-*r/ pow-prod-down associate-*l/ prod-exp *-commutative cbrt-unprod unswap-sqr
1×distribute-rgt-in distribute-lft-in diff-log distribute-lft-out-- difference-of-squares
Counts
3 → 55
Calls
3 calls:
3.0ms
(- 1.0 (* (- 1.0 y) z))
6.0ms
(* (- 1.0 y) z)
5.0ms
(* 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)))

simplify39.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 0 (31.0ms)

IterNodesCost
04981580
14981580

prune105.0ms

Filtered
45 candidates to 64 candidates (-42.2%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New541064
Fresh000
Picked101
Done000
Total551065

Merged error: 2.9b

Counts
65 → 10

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))
2.9b
(* x (* z (- y 1.0)))

rewrite19.0ms

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))))
6.0ms
(* z (- y 1.0))
7.0ms
(* x (* z (- y 1.0)))

series23.0ms

Counts
3 → 9
Calls
3 calls:
11.0ms
(+ (* 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

prune86.0ms

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

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New71273
Fresh549
Picked011
Done000
Total76783

Merged error: 0.0b

Counts
83 → 7

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x 1.0) (* (* x z) (- y 1.0)))
3.1b
(* (* 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))

series19.0ms

Counts
2 → 6
Calls
2 calls:
11.0ms
(+ (* x 1.0) (* (* x z) (- y 1.0)))
8.0ms
(* (* x z) (- y 1.0))

simplify40.0ms

Algorithm
egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
04963415
14963415

prune56.0ms

Filtered
28 candidates to 43 candidates (-53.6%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New43043
Fresh055
Picked011
Done011
Total43750

Merged error: 0.0b

Counts
50 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

2.9b
(* x (* z (- y 1.0)))
6.2b
(cbrt (* x (* z (- y 1.0))))
6.2b
(cbrt (* x (* z (- y 1.0))))
6.2b
(cbrt (* x (* z (- y 1.0))))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
16×associate-*r/
9×pow1 add-exp-log add-cbrt-cube
6×cbrt-div
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×distribute-rgt-in sub-neg flip3-- distribute-lft-in flip-- add-log-exp
3×cbrt-prod pow1/3 associate-*l* pow-prod-down prod-exp cbrt-unprod
1×associate-*r* *-commutative
Counts
4 → 57
Calls
4 calls:
7.0ms
(* x (* z (- y 1.0)))
6.0ms
(cbrt (* x (* z (- y 1.0))))
6.0ms
(cbrt (* x (* z (- y 1.0))))
6.0ms
(cbrt (* x (* z (- y 1.0))))

series98.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(* x (* z (- y 1.0)))
29.0ms
(cbrt (* x (* z (- y 1.0))))
31.0ms
(cbrt (* x (* z (- y 1.0))))
29.0ms
(cbrt (* x (* z (- y 1.0))))

simplify34.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 0 (27.0ms)

IterNodesCost
05763915

prune153.0ms

Filtered
54 candidates to 69 candidates (-27.8%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New69069
Fresh044
Picked011
Done022
Total69776

Merged error: 0.0b

Counts
76 → 7

regimes221.0ms

Accuracy

91.6% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 1.6b

bsearch23.0ms

Steps
ItersRangePoint
10
3.923380517623269e-37
1.6481219255007407e-21
1.0557290194481707e-24
4
-1.3680092906563936e+58
-9.579161986211478e+57
-1.0131972330345411e+58

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03831
13831

end0.0ms

sample594.0ms

Algorithm
intervals
Results
406.0ms8000×body80valid
19.0ms635×body80invalid

Profiling

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