Details

Time bar (total: 7.8s)

sample36.0ms

Algorithm
intervals
Results
17.0ms264×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

prune4.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.6b

localize27.0ms

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)
29.8b
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite55.0ms

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:
9.0ms
(* (+ (* (+ y a) y) b) y)
7.0ms
(* (+ (* x y) z) y)
10.0ms
(* (+ (* (+ (* 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))

series466.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(* (+ (* (+ y a) y) b) y)
39.0ms
(* (+ (* x y) z) y)
54.0ms
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
338.0ms
(/ (+ (* (+ (* (+ (* (+ (* 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 (51.0ms)

IterNodesCost
05091200
122221083
250011081

prune475.0ms

Filtered
103 candidates to 75 candidates (72.8%)
Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 29.6b

localize28.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ (* x y) z) y)
0.1b
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
0.7b
(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
29.4b
(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

rewrite66.0ms

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-+ associate-*l/ prod-exp flip-+
5×unswap-sqr
4×div-exp associate-/r/ cbrt-unprod add-log-exp
3×pow-prod-down associate-/r* *-commutative associate-/l*
2×cbrt-undiv frac-times rec-exp 1-exp div-inv
1×pow-flip frac-2neg associate-*r/ clear-num un-div-inv inv-pow
Counts
4 → 115
Calls
4 calls:
7.0ms
(* (+ (* x y) z) y)
10.0ms
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
14.0ms
(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
31.0ms
(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

series481.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(* (+ (* x y) z) y)
57.0ms
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
53.0ms
(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
337.0ms
(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

simplify77.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
05501633
126571447
250011421

prune496.0ms

Filtered
127 candidates to 80 candidates (63.0%)
Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 29.6b

localize23.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ (* x y) z) y)
0.1b
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
0.4b
(/ 1 (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))
29.9b
(/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))

rewrite78.0ms

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:
7.0ms
(* (+ (* x y) z) y)
10.0ms
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
28.0ms
(/ 1 (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))
26.0ms
(/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))

series1.0s

Counts
4 → 12
Calls
4 calls:
39.0ms
(* (+ (* x y) z) y)
55.0ms
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
436.0ms
(/ 1 (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))
483.0ms
(/ (+ (* (+ (* (+ (* (+ 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 (64.0ms)

IterNodesCost
06713550
132513287
250013207

prune600.0ms

Filtered
167 candidates to 98 candidates (58.7%)
Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 29.6b

localize29.0ms

Local error

Found 4 expressions with local error:

20.2b
(cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
20.2b
(cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
20.2b
(cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
29.4b
(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ (/ 1 (* (cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)) (cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))) (cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))))

rewrite136.0ms

Algorithm
rewrite-expression-head
Rules
118×times-frac
96×associate-*r*
80×cbrt-div
69×add-sqr-sqrt
57×cbrt-prod
53×*-un-lft-identity
51×add-cube-cbrt
50×associate-/r/
42×flip3-+ flip-+
32×add-exp-log
26×frac-times
14×associate-*l/
13×associate-*r/ add-cbrt-cube
11×div-exp prod-exp
7×div-inv unswap-sqr
6×pow1
5×cbrt-undiv cbrt-unprod
4×add-log-exp
3×pow1/3 associate-*l*
2×rec-exp 1-exp
1×pow-prod-down *-commutative
Counts
4 → 171
Calls
4 calls:
12.0ms
(cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
12.0ms
(cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
12.0ms
(cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
82.0ms
(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ (/ 1 (* (cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)) (cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))) (cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))))

series775.0ms

Counts
4 → 12
Calls
4 calls:
143.0ms
(cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
142.0ms
(cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
149.0ms
(cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
341.0ms
(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ (/ 1 (* (cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)) (cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))) (cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))))

simplify142.0ms

Algorithm
egg-herbie
Counts
183 → 183
Iterations

Useful iterations: 2 (91.0ms)

IterNodesCost
09866101
147805497
250025341

prune935.0ms

Filtered
183 candidates to 128 candidates (69.9%)
Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 29.6b

regimes727.0ms

Accuracy

0% (1.2b remaining)

Error of 29.4b against oracle of 28.2b and baseline of 29.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04517
14517

end0.0ms

sample890.0ms

Algorithm
intervals
Results
540.0ms8230×body80valid