Details

Time bar (total: 10.9s)

sample60.0ms

Algorithm
intervals
Results
21.0ms270×body80valid

simplify108.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04116
18816
225416
366316
4161516
5236216
6258416
7316516
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:
11.0ms
(* (+ (* (+ y a) y) b) y)
10.0ms
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
11.0ms
(* (+ (* (+ (* (+ 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))

series575.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(* (+ (* (+ y a) y) b) y)
68.0ms
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
87.0ms
(* (+ (* (+ (* (+ y a) y) b) y) c) y)
377.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify63.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
05091265
122591154
250031152

prune824.0ms

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

localize26.0ms

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))

rewrite36.0ms

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) y) c) (* (cbrt y) (cbrt y))) (cbrt y)) i))

series1.2s

Counts
4 → 12
Calls
4 calls:
199.0ms
(cbrt y)
197.0ms
(cbrt y)
202.0ms
(cbrt y)
578.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (* (+ (* (+ (* (+ y a) y) b) y) c) (* (cbrt y) (cbrt y))) (cbrt y)) i))

simplify37.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
02561138
19281034
250021029

prune494.0ms

Filtered
76 candidates to 62 candidates (18.4%)
Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New74276
Fresh11011
Picked011
Done000
Total751388

Merged error: 27.2b

Counts
88 → 13

localize31.0ms

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))

rewrite46.0ms

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)
6.0ms
(cbrt (* (cbrt y) (cbrt y)))
1.0ms
(cbrt (cbrt y))
36.0ms
(/ (+ (* (+ (* (+ (* (+ (* 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))

series1.6s

Counts
4 → 12
Calls
4 calls:
204.0ms
(cbrt y)
316.0ms
(cbrt (* (cbrt y) (cbrt y)))
483.0ms
(cbrt (cbrt y))
604.0ms
(/ (+ (* (+ (* (+ (* (+ (* 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))

simplify43.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
03271473
111611346
250011335

prune647.0ms

Filtered
77 candidates to 66 candidates (14.3%)
Pruning

13 alts after pruning (11 fresh and 2 done)

PrunedKeptTotal
New77077
Fresh01111
Picked011
Done011
Total771390

Merged error: 27.2b

Counts
90 → 13

localize23.0ms

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))

rewrite75.0ms

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)
25.0ms
(/ 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))

series1.2s

Counts
4 → 12
Calls
4 calls:
79.0ms
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
88.0ms
(* (+ (* (+ (* (+ y a) y) b) y) c) y)
515.0ms
(/ 1 (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))
515.0ms
(/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))

simplify96.0ms

Algorithm
egg-herbie
Counts
167 → 167
Iterations

Useful iterations: 2 (67.0ms)

IterNodesCost
06823635
133683356
250023276

prune841.0ms

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

regimes1.4s

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
681.0ms8230×body80valid

Profiling

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