Details

Time bar (total: 8.6s)

analyze2.0s

Algorithm
search
Search
TrueOtherFalseIter
0%99.6%0.4%0
0%99.6%0.4%1
0%99.6%0.4%2
0%99.6%0.4%3
0%99.6%0.4%4
0%99.6%0.4%5
0%99.6%0.4%6
0%99.6%0.4%7
0%99.6%0.4%8
0%99.6%0.4%9
0%99.6%0.4%10
0%99.6%0.4%11
0%99.6%0.4%12
0%99.6%0.4%13
0%99.6%0.4%14

sample44.0ms

Algorithm
intervals
Results
21.0ms256×body80valid
0.0ms6×body80invalid

simplify102.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04116
18816
225416
366316
4161516
5236216
6258416
7312216
8500116

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 29.1b

Counts
2 → 1

localize23.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ (* x y) z) y)
0.1b
(* (+ (* (+ (* (+ y a) y) b) y) c) y)
0.1b
(* (+ (* (+ y a) y) b) y)
28.5b
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
18×add-cube-cbrt *-un-lft-identity
12×add-exp-log add-cbrt-cube
10×pow1
9×times-frac associate-*r* associate-*l*
6×associate-*l/
5×flip3-+ flip-+
4×add-log-exp
3×pow-prod-down prod-exp associate-/r* *-commutative cbrt-unprod associate-/l* unswap-sqr
2×associate-/r/ associate-/l/
1×cbrt-undiv frac-2neg div-exp clear-num div-inv
Counts
4 → 91
Calls
4 calls:
6.0ms
(* (+ (* x y) z) y)
11.0ms
(* (+ (* (+ (* (+ y a) y) b) y) c) y)
8.0ms
(* (+ (* (+ y a) y) b) y)
24.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series177.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(* (+ (* x y) z) y)
16.0ms
(* (+ (* (+ (* (+ y a) y) b) y) c) y)
8.0ms
(* (+ (* (+ y a) y) b) y)
143.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify61.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
05071214
122271108
250011108

prune232.0ms

Filtered
75 candidates to 103 candidates (-37.3%)
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New9013103
Fresh000
Picked101
Done000
Total9113104

Merged error: 28.1b

Counts
104 → 13

localize25.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ (* (+ (* (+ y a) y) b) y) c) y)
0.1b
(* (+ (* (+ y a) y) b) y)
0.5b
(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
28.1b
(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
35×add-sqr-sqrt
25×*-un-lft-identity
24×add-cube-cbrt
21×add-exp-log associate-*r*
20×times-frac
15×add-cbrt-cube
11×pow1
9×associate-*l*
6×flip3-+ associate-*l/ prod-exp flip-+
5×unswap-sqr
4×div-exp associate-/r/ cbrt-unprod add-log-exp
3×pow-prod-down associate-/r* *-commutative associate-/l*
2×cbrt-undiv frac-times rec-exp 1-exp div-inv
1×pow-flip frac-2neg associate-*r/ clear-num un-div-inv inv-pow
Counts
4 → 115
Calls
4 calls:
11.0ms
(* (+ (* (+ (* (+ y a) y) b) y) c) y)
9.0ms
(* (+ (* (+ y a) y) b) y)
13.0ms
(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
30.0ms
(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

series195.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(* (+ (* (+ (* (+ y a) y) b) y) c) y)
8.0ms
(* (+ (* (+ y a) y) b) y)
23.0ms
(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
148.0ms
(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

simplify76.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
05521671
126911491
250011465

prune197.0ms

Filtered
80 candidates to 127 candidates (-58.8%)
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New1261127
Fresh21012
Picked011
Done000
Total12812140

Merged error: 28.1b

Counts
140 → 12

localize28.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
28.5b
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (* (+ (* (+ y a) y) b) (* (cbrt y) (cbrt y))) (cbrt y)) c) y) i))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×cbrt-prod times-frac
6×add-exp-log add-cbrt-cube
4×pow1 add-log-exp
3×pow1/3 associate-/r* associate-/l*
2×flip3-+ associate-/r/ flip-+ associate-/l/
1×cbrt-undiv frac-2neg div-exp clear-num div-inv
Counts
4 → 64
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)
31.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (* (+ (* (+ y a) y) b) (* (cbrt y) (cbrt y))) (cbrt y)) c) y) i))

series230.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt y)
21.0ms
(cbrt y)
22.0ms
(cbrt y)
165.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (* (+ (* (+ y a) y) b) (* (cbrt y) (cbrt y))) (cbrt y)) c) y) i))

simplify94.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 3 (81.0ms)

IterNodesCost
02761174
18751076
236101046
350031040

prune154.0ms

Filtered
59 candidates to 76 candidates (-28.8%)
Pruning

12 alts after pruning (10 fresh and 2 done)

PrunedKeptTotal
New76076
Fresh01010
Picked011
Done011
Total761288

Merged error: 28.1b

Counts
88 → 12

localize30.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
28.5b
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (* (+ (* (+ (* (+ y a) y) b) y) c) (* (cbrt y) (cbrt y))) (cbrt y)) i))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×cbrt-prod times-frac
6×add-exp-log add-cbrt-cube
4×pow1 add-log-exp
3×pow1/3 associate-/r* associate-/l*
2×flip3-+ associate-/r/ flip-+ associate-/l/
1×cbrt-undiv frac-2neg div-exp clear-num div-inv
Counts
4 → 64
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)
30.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (* (+ (* (+ (* (+ y a) y) b) y) c) (* (cbrt y) (cbrt y))) (cbrt y)) i))

series235.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(cbrt y)
23.0ms
(cbrt y)
22.0ms
(cbrt y)
168.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (* (+ (* (+ (* (+ y a) y) b) y) c) (* (cbrt y) (cbrt y))) (cbrt y)) i))

simplify130.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 3 (119.0ms)

IterNodesCost
02761174
19181065
245571032
350031029

prune93.0ms

Filtered
59 candidates to 76 candidates (-28.8%)
Pruning

12 alts after pruning (9 fresh and 3 done)

PrunedKeptTotal
New76076
Fresh099
Picked011
Done022
Total761288

Merged error: 28.1b

Counts
88 → 12

regimes1.2s

Accuracy

0% (1.1b remaining)

Error of 29.2b against oracle of 28.0b and baseline of 29.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04617
14617

end0.0ms

analyze2.0s

Algorithm
search
Search
TrueOtherFalseIter
0%99.6%0.4%0
0%99.6%0.4%1
0%99.6%0.4%2
0%99.6%0.4%3
0%99.6%0.4%4
0%99.6%0.4%5
0%99.6%0.4%6
0%99.6%0.4%7
0%99.6%0.4%8
0%99.6%0.4%9
0%99.6%0.4%10
0%99.6%0.4%11
0%99.6%0.4%12
0%99.6%0.4%13
0%99.6%0.4%14

sample1.1s

Algorithm
intervals
Results
712.0ms8000×body80valid
20.0ms235×body80invalid

Profiling

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