Details

Time bar (total: 5.3s)

sample50.0ms

Algorithm
intervals
Results
21.0ms265×body80valid

simplify104.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04116
18816
225416
366316
4161516
5236216
6258416
7312216
8500116

prune6.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 28.1b

Counts
2 → 1

localize22.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ (* (+ y a) y) b) y)
0.1b
(* (+ (* x y) z) y)
0.1b
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
27.3b
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite52.0ms

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:
8.0ms
(* (+ (* (+ y a) y) b) y)
6.0ms
(* (+ (* x y) z) y)
9.0ms
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
26.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series174.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(* (+ (* (+ y a) y) b) y)
8.0ms
(* (+ (* x y) z) y)
14.0ms
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
144.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify60.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
05091200
122221083
250011081

prune244.0ms

Filtered
103 candidates to 75 candidates (27.2%)
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New9013103
Fresh000
Picked101
Done000
Total9113104

Merged error: 27.1b

Counts
104 → 13

localize27.0ms

Local error

Found 4 expressions with local error:

20.3b
(cbrt (* (+ (* x y) z) y))
20.3b
(cbrt (* (+ (* x y) z) y))
20.3b
(cbrt (* (+ (* x y) z) y))
27.3b
(/ (+ (* (+ (* (+ (* (* (cbrt (* (+ (* x y) z) y)) (cbrt (* (+ (* x y) z) y))) (cbrt (* (+ (* 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
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
6×add-exp-log cbrt-div associate-*l/ add-cbrt-cube
5×flip3-+ flip-+
4×pow1 add-log-exp
3×cbrt-prod pow1/3 associate-/r* associate-/l*
2×associate-/r/ associate-/l/
1×cbrt-undiv frac-2neg div-exp clear-num div-inv
Counts
4 → 64
Calls
4 calls:
5.0ms
(cbrt (* (+ (* x y) z) y))
5.0ms
(cbrt (* (+ (* x y) z) y))
5.0ms
(cbrt (* (+ (* x y) z) y))
33.0ms
(/ (+ (* (+ (* (+ (* (* (cbrt (* (+ (* x y) z) y)) (cbrt (* (+ (* x y) z) y))) (cbrt (* (+ (* x y) z) y))) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series269.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(cbrt (* (+ (* x y) z) y))
37.0ms
(cbrt (* (+ (* x y) z) y))
38.0ms
(cbrt (* (+ (* x y) z) y))
156.0ms
(/ (+ (* (+ (* (+ (* (* (cbrt (* (+ (* x y) z) y)) (cbrt (* (+ (* x y) z) y))) (cbrt (* (+ (* x y) z) y))) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify44.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
04011696
112701559
250011540

prune183.0ms

Filtered
76 candidates to 66 candidates (13.2%)
Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New76076
Fresh01212
Picked011
Done000
Total761389

Merged error: 27.1b

Counts
89 → 13

localize30.0ms

Local error

Found 4 expressions with local error:

26.9b
(cbrt (* (+ (* (+ y a) y) b) y))
26.9b
(cbrt (* (+ (* (+ y a) y) b) y))
26.9b
(cbrt (* (+ (* (+ y a) y) b) y))
27.3b
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (* (cbrt (* (+ (* (+ y a) y) b) y)) (cbrt (* (+ (* (+ y a) y) b) y))) (cbrt (* (+ (* (+ y a) y) b) y))) c) y) i))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
6×add-exp-log cbrt-div associate-*l/ add-cbrt-cube
5×flip3-+ flip-+
4×pow1 add-log-exp
3×cbrt-prod pow1/3 associate-/r* associate-/l*
2×associate-/r/ associate-/l/
1×cbrt-undiv frac-2neg div-exp clear-num div-inv
Counts
4 → 64
Calls
4 calls:
7.0ms
(cbrt (* (+ (* (+ y a) y) b) y))
7.0ms
(cbrt (* (+ (* (+ y a) y) b) y))
7.0ms
(cbrt (* (+ (* (+ y a) y) b) y))
30.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (* (cbrt (* (+ (* (+ y a) y) b) y)) (cbrt (* (+ (* (+ y a) y) b) y))) (cbrt (* (+ (* (+ y a) y) b) y))) c) y) i))

series329.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(cbrt (* (+ (* (+ y a) y) b) y))
39.0ms
(cbrt (* (+ (* (+ y a) y) b) y))
53.0ms
(cbrt (* (+ (* (+ y a) y) b) y))
195.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (* (cbrt (* (+ (* (+ y a) y) b) y)) (cbrt (* (+ (* (+ y a) y) b) y))) (cbrt (* (+ (* (+ y a) y) b) y))) c) y) i))

simplify112.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 3 (97.0ms)

IterNodesCost
03281749
110511597
244231522
350021500

prune191.0ms

Filtered
76 candidates to 66 candidates (13.2%)
Pruning

14 alts after pruning (12 fresh and 2 done)

PrunedKeptTotal
New74276
Fresh11011
Picked011
Done011
Total751489

Merged error: 27.1b

Counts
89 → 14

localize36.0ms

Local error

Found 4 expressions with local error:

15.9b
(cbrt (+ (* (+ y a) y) b))
26.9b
(cbrt (* (+ (* (+ y a) y) b) y))
26.9b
(cbrt (* (+ (* (+ y a) y) b) y))
27.3b
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (* (cbrt (* (+ (* (+ y a) y) b) y)) (* (cbrt (+ (* (+ y a) y) b)) (cbrt y))) (cbrt (* (+ (* (+ y a) y) b) y))) c) y) i))

rewrite76.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
6×add-exp-log cbrt-div add-cbrt-cube
5×cbrt-prod flip3-+ flip-+
4×pow1 associate-*l/ add-log-exp
3×pow1/3 associate-/r* associate-/l*
2×associate-/r/ associate-/l/
1×cbrt-undiv frac-2neg div-exp clear-num div-inv
Counts
4 → 66
Calls
4 calls:
7.0ms
(cbrt (+ (* (+ y a) y) b))
14.0ms
(cbrt (* (+ (* (+ y a) y) b) y))
13.0ms
(cbrt (* (+ (* (+ y a) y) b) y))
40.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (* (cbrt (* (+ (* (+ y a) y) b) y)) (* (cbrt (+ (* (+ y a) y) b)) (cbrt y))) (cbrt (* (+ (* (+ y a) y) b) y))) c) y) i))

series270.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(cbrt (+ (* (+ y a) y) b))
39.0ms
(cbrt (* (+ (* (+ y a) y) b) y))
40.0ms
(cbrt (* (+ (* (+ y a) y) b) y))
161.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (* (cbrt (* (+ (* (+ y a) y) b) y)) (* (cbrt (+ (* (+ y a) y) b)) (cbrt y))) (cbrt (* (+ (* (+ y a) y) b) y))) c) y) i))

simplify48.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
04131824
112911670
250011646

prune170.0ms

Filtered
78 candidates to 67 candidates (14.1%)
Pruning

14 alts after pruning (11 fresh and 3 done)

PrunedKeptTotal
New77178
Fresh11011
Picked011
Done022
Total781492

Merged error: 27.1b

Counts
92 → 14

regimes1.3s

Accuracy

0% (1.1b remaining)

Error of 28.9b against oracle of 27.8b and baseline of 28.9b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05030
15030

end0.0ms

sample1.4s

Algorithm
intervals
Results
714.0ms8234×body80valid

Profiling

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