Details

Time bar (total: 7.4s)

sample60.0ms

Algorithm
intervals
Results
21.0ms270×body80valid

simplify101.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04116
18816
225416
366316
4161516
5236216
6258416
7312216
8500116

prune8.0ms

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

localize21.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ (* (+ y a) y) b) y)
0.1b
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
0.1b
(* (+ (* (+ (* (+ y a) y) b) y) c) y)
27.4b
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite58.0ms

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)
10.0ms
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
13.0ms
(* (+ (* (+ (* (+ y a) y) b) y) c) y)
24.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series176.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(* (+ (* (+ y a) y) b) y)
14.0ms
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
17.0ms
(* (+ (* (+ (* (+ y a) y) b) y) c) y)
139.0ms
(/ (+ (* (+ (* (+ (* (+ (* 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: 2 (49.0ms)

IterNodesCost
05091265
122591154
250031152

prune816.0ms

Filtered
103 candidates to 77 candidates (25.2%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New9112103
Fresh000
Picked101
Done000
Total9212104

Merged error: 27.2b

Counts
104 → 12

localize28.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
27.4b
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (* (+ (* (+ (* (+ y a) y) b) y) c) (* (cbrt y) (cbrt y))) (cbrt y)) i))

rewrite34.0ms

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)
29.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (* (+ (* (+ (* (+ y a) y) b) y) c) (* (cbrt y) (cbrt y))) (cbrt y)) i))

series234.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt y)
23.0ms
(cbrt y)
21.0ms
(cbrt y)
169.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (* (+ (* (+ (* (+ y a) y) b) y) c) (* (cbrt y) (cbrt y))) (cbrt y)) i))

simplify126.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 3 (115.0ms)

IterNodesCost
02761174
19181065
245571032
350031029

prune458.0ms

Filtered
76 candidates to 59 candidates (22.4%)
Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New74276
Fresh11011
Picked011
Done000
Total751388

Merged error: 27.2b

Counts
88 → 13

localize33.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt (* (cbrt y) (cbrt y)))
0.6b
(cbrt (cbrt y))
27.4b
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (* (+ (* (+ (* (+ y a) y) b) y) c) (* (cbrt y) (cbrt y))) (* (cbrt (* (cbrt y) (cbrt y))) (cbrt (cbrt y)))) i))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
13×cbrt-prod
9×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 → 65
Calls
4 calls:
1.0ms
(cbrt y)
4.0ms
(cbrt (* (cbrt y) (cbrt y)))
1.0ms
(cbrt (cbrt y))
32.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (* (+ (* (+ (* (+ y a) y) b) y) c) (* (cbrt y) (cbrt y))) (* (cbrt (* (cbrt y) (cbrt y))) (cbrt (cbrt y)))) i))

series249.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt y)
35.0ms
(cbrt (* (cbrt y) (cbrt y)))
29.0ms
(cbrt (cbrt y))
164.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (* (+ (* (+ (* (+ y a) y) b) y) c) (* (cbrt y) (cbrt y))) (* (cbrt (* (cbrt y) (cbrt y))) (cbrt (cbrt y)))) i))

simplify42.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
03691512
112051382
250011350

prune683.0ms

Filtered
77 candidates to 62 candidates (19.5%)
Pruning

13 alts after pruning (11 fresh and 2 done)

PrunedKeptTotal
New77077
Fresh01111
Picked011
Done011
Total771390

Merged error: 27.2b

Counts
90 → 13

localize25.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
0.1b
(* (+ (* (+ (* (+ y a) y) b) y) c) y)
0.7b
(/ 1 (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))
27.4b
(/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) 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-*l/ add-log-exp
2×rec-exp frac-2neg 1-exp pow-prod-down prod-exp clear-num *-commutative cbrt-unprod associate-/l/ unswap-sqr
1×pow-flip inv-pow
Counts
4 → 155
Calls
4 calls:
9.0ms
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
11.0ms
(* (+ (* (+ (* (+ y a) y) b) y) c) y)
23.0ms
(/ 1 (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))
24.0ms
(/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))

series394.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
16.0ms
(* (+ (* (+ (* (+ y a) y) b) y) c) y)
136.0ms
(/ 1 (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))
228.0ms
(/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))

simplify94.0ms

Algorithm
egg-herbie
Counts
167 → 167
Iterations

Useful iterations: 2 (65.0ms)

IterNodesCost
06823635
133683356
250023276

prune823.0ms

Filtered
167 candidates to 98 candidates (41.3%)
Pruning

12 alts after pruning (10 fresh and 2 done)

PrunedKeptTotal
New1652167
Fresh2810
Picked101
Done022
Total16812180

Merged error: 27.2b

Counts
180 → 12

regimes1.5s

Accuracy

0% (1.2b remaining)

Error of 29.6b against oracle of 28.4b and baseline of 29.6b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04618
14618

end0.0ms

sample1.3s

Algorithm
intervals
Results
657.0ms8230×body80valid

Profiling

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