Details

Time bar (total: 5.2s)

sample50.0ms

Algorithm
intervals
Results
23.0ms266×body80valid

simplify148.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (146.0ms)

IterNodesCost
0483433
1483433

prune11.0ms

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: 26.6b

Counts
2 → 1

localize24.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ (* x y) z) y)
0.1b
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
0.1b
(* (+ (* (+ y a) y) b) y)
25.9b
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite50.0ms

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)
9.0ms
(* (+ (* (+ (* x y) z) y) 27464.7644705) 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))

series173.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(* (+ (* x y) z) y)
14.0ms
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
7.0ms
(* (+ (* (+ 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))

simplify48.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
054872165

prune201.0ms

Filtered
85 candidates to 103 candidates (-21.2%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New949103
Fresh000
Picked101
Done000
Total959104

Merged error: 25.3b

Counts
104 → 9

localize26.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
0.1b
(* y (+ (* y (+ y a)) b))
0.3b
(/ 1 (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i))
25.8b
(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i)))

rewrite62.0ms

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-+ prod-exp flip-+
5×unswap-sqr
4×div-exp associate-*l/ associate-/r/ cbrt-unprod add-log-exp
3×associate-*r/ pow-prod-down associate-/r* *-commutative associate-/l*
2×cbrt-undiv frac-times rec-exp 1-exp div-inv
1×distribute-rgt-in pow-flip frac-2neg distribute-lft-in clear-num un-div-inv inv-pow
Counts
4 → 117
Calls
4 calls:
9.0ms
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
8.0ms
(* y (+ (* y (+ y a)) b))
13.0ms
(/ 1 (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i))
28.0ms
(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i)))

series185.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
7.0ms
(* y (+ (* y (+ y a)) b))
23.0ms
(/ 1 (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i))
141.0ms
(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i)))

simplify62.0ms

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
049702923
149702923

prune193.0ms

Filtered
89 candidates to 129 candidates (-44.9%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New1263129
Fresh268
Picked011
Done000
Total12810138

Merged error: 25.3b

Counts
138 → 10

localize23.0ms

Local error

Found 4 expressions with local error:

0.1b
(* y (+ (* y (+ (* x y) z)) 27464.7644705))
0.1b
(* y (+ (* y (+ y a)) b))
0.5b
(/ 1 (/ (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i) (+ (* y (+ (* y (+ (* y (+ (* x y) z)) 27464.7644705)) 230661.510616)) t)))
26.0b
(/ (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i) (+ (* y (+ (* y (+ (* y (+ (* x y) z)) 27464.7644705)) 230661.510616)) t))

rewrite73.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
64×add-sqr-sqrt
60×add-cube-cbrt *-un-lft-identity
21×add-exp-log
18×associate-/r*
15×add-cbrt-cube
11×associate-/r/
9×pow1
8×flip3-+ div-exp flip-+
6×associate-*r* associate-*l* div-inv associate-/l*
4×cbrt-undiv associate-*r/ add-log-exp
2×distribute-rgt-in rec-exp frac-2neg distribute-lft-in 1-exp pow-prod-down prod-exp clear-num *-commutative cbrt-unprod associate-/l/ unswap-sqr
1×pow-flip inv-pow
Counts
4 → 159
Calls
4 calls:
10.0ms
(* y (+ (* y (+ (* x y) z)) 27464.7644705))
8.0ms
(* y (+ (* y (+ y a)) b))
24.0ms
(/ 1 (/ (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i) (+ (* y (+ (* y (+ (* y (+ (* x y) z)) 27464.7644705)) 230661.510616)) t)))
26.0ms
(/ (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i) (+ (* y (+ (* y (+ (* y (+ (* x y) z)) 27464.7644705)) 230661.510616)) t))

series375.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(* y (+ (* y (+ (* x y) z)) 27464.7644705))
7.0ms
(* y (+ (* y (+ y a)) b))
132.0ms
(/ 1 (/ (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i) (+ (* y (+ (* y (+ (* y (+ (* x y) z)) 27464.7644705)) 230661.510616)) t)))
227.0ms
(/ (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i) (+ (* y (+ (* y (+ (* y (+ (* x y) z)) 27464.7644705)) 230661.510616)) t))

simplify108.0ms

Algorithm
egg-herbie
Counts
171 → 171
Iterations

Useful iterations: 0 (78.0ms)

IterNodesCost
049366499
149366499

prune267.0ms

Filtered
119 candidates to 171 candidates (-43.7%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New1710171
Fresh088
Picked011
Done011
Total17110181

Merged error: 25.3b

Counts
181 → 10

localize29.0ms

Local error

Found 4 expressions with local error:

16.1b
(cbrt (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i))
16.1b
(cbrt (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i))
16.1b
(cbrt (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i))
21.3b
(/ (+ (* y (+ (* y (+ (* y (+ (* x y) z)) 27464.7644705)) 230661.510616)) t) (* (cbrt (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i)) (cbrt (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i))))

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-div
10×flip3-+ flip-+
9×add-exp-log cbrt-prod add-sqr-sqrt add-cube-cbrt *-un-lft-identity
8×associate-/r/
7×add-cbrt-cube
4×pow1 frac-times add-log-exp
3×times-frac pow1/3 associate-/l*
2×cbrt-undiv associate-*r/ div-exp associate-*l/ associate-/l/
1×frac-2neg prod-exp clear-num associate-/r* cbrt-unprod div-inv
Counts
4 → 70
Calls
4 calls:
11.0ms
(cbrt (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i))
11.0ms
(cbrt (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i))
11.0ms
(cbrt (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i))
44.0ms
(/ (+ (* y (+ (* y (+ (* y (+ (* x y) z)) 27464.7644705)) 230661.510616)) t) (* (cbrt (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i)) (cbrt (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i))))

series367.0ms

Counts
4 → 12
Calls
4 calls:
53.0ms
(cbrt (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i))
51.0ms
(cbrt (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i))
52.0ms
(cbrt (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i))
211.0ms
(/ (+ (* y (+ (* y (+ (* y (+ (* x y) z)) 27464.7644705)) 230661.510616)) t) (* (cbrt (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i)) (cbrt (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i))))

simplify61.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
049392834
149392834

prune135.0ms

Filtered
69 candidates to 82 candidates (-18.8%)
Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New81182
Fresh167
Picked011
Done022
Total821092

Merged error: 25.3b

Counts
92 → 10

regimes1.0s

Accuracy

0% (1.2b remaining)

Error of 28.7b against oracle of 27.6b and baseline of 28.7b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04535
14535

end0.0ms

sample1.4s

Algorithm
intervals
Results
695.0ms8236×body80valid

Profiling

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