Details

Time bar (total: 5.9s)

sample217.0ms

Algorithm
intervals
Results
31.0ms264×body80valid

simplify106.0ms

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: 31.6b

Counts
2 → 1

localize21.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ (* (+ (* (+ y a) y) b) y) c) y)
0.1b
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
0.1b
(* (+ (* (+ y a) y) b) y)
31.0b
(/ (+ (* (+ (* (+ (* (+ (* 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) c) y)
12.0ms
(* (+ (* (+ (* 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))

series190.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(* (+ (* (+ (* (+ y a) y) b) y) c) y)
17.0ms
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
8.0ms
(* (+ (* (+ y a) y) b) y)
148.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify64.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
05091265
122591154
250021152

prune221.0ms

Filtered
103 candidates to 77 candidates (25.2%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New9211103
Fresh000
Picked101
Done000
Total9311104

Merged error: 30.6b

Counts
104 → 11

localize30.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
31.0b
(/ (+ (* (+ (* (* (+ (* (+ (* x y) z) y) 27464.7644705) (* (cbrt y) (cbrt y))) (cbrt y)) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) 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) (* (cbrt y) (cbrt y))) (cbrt y)) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series241.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(cbrt y)
23.0ms
(cbrt y)
22.0ms
(cbrt y)
172.0ms
(/ (+ (* (+ (* (* (+ (* (+ (* x y) z) y) 27464.7644705) (* (cbrt y) (cbrt y))) (cbrt y)) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify93.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 3 (82.0ms)

IterNodesCost
02761174
18751076
236081046
350021040

prune152.0ms

Filtered
76 candidates to 59 candidates (22.4%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New76076
Fresh01010
Picked011
Done000
Total761187

Merged error: 30.6b

Counts
87 → 11

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)
0.4b
(/ 1 (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))
31.1b
(/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))

rewrite74.0ms

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)
10.0ms
(* (+ (* (+ y a) y) b) 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))

series395.0ms

Counts
4 → 12
Calls
4 calls:
15.0ms
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
8.0ms
(* (+ (* (+ y a) y) b) y)
140.0ms
(/ 1 (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))
233.0ms
(/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))

simplify93.0ms

Algorithm
egg-herbie
Counts
167 → 167
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
06843581
133453306
250013226

prune220.0ms

Filtered
167 candidates to 98 candidates (41.3%)
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New1661167
Fresh189
Picked011
Done011
Total16711178

Merged error: 30.6b

Counts
178 → 11

localize24.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ (* (+ y a) y) b) y)
0.3b
(/ 1 (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))
0.5b
(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
30.4b
(/ (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)) (/ 1 (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))

rewrite92.0ms

Algorithm
rewrite-expression-head
Rules
531×times-frac
248×add-sqr-sqrt
246×add-cube-cbrt *-un-lft-identity
69×associate-/r/
54×add-exp-log
36×div-exp
35×flip3-+ flip-+ div-inv
22×add-cbrt-cube
21×associate-/r* associate-/l*
10×cbrt-undiv rec-exp 1-exp
8×pow1
4×add-log-exp
3×frac-2neg associate-*r* associate-*l* clear-num
2×pow-flip associate-*l/ inv-pow
1×pow-prod-down prod-exp *-commutative cbrt-unprod associate-/l/ unswap-sqr
Counts
4 → 373
Calls
4 calls:
9.0ms
(* (+ (* (+ y a) y) b) y)
16.0ms
(/ 1 (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))
14.0ms
(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
33.0ms
(/ (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)) (/ 1 (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))

series217.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(* (+ (* (+ y a) y) b) y)
40.0ms
(/ 1 (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))
25.0ms
(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
144.0ms
(/ (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)) (/ 1 (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))

simplify139.0ms

Algorithm
egg-herbie
Counts
385 → 385
Iterations

Useful iterations: 1 (37.0ms)

IterNodesCost
0174611990
1500111337

prune544.0ms

Filtered
385 candidates to 191 candidates (50.4%)
Pruning

11 alts after pruning (8 fresh and 3 done)

PrunedKeptTotal
New3850385
Fresh088
Picked011
Done022
Total38511396

Merged error: 30.6b

Counts
396 → 11

regimes1.3s

Accuracy

0% (1.1b remaining)

Error of 29.4b against oracle of 28.3b and baseline of 29.4b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04521
14521

end0.0ms

sample1.4s

Algorithm
intervals
Results
706.0ms8250×body80valid

Profiling

Loading profile data...