Details

Time bar (total: 6.9s)

sample36.0ms

Algorithm
intervals
Results
17.0ms261×body80valid

simplify108.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04116
18816
225416
366316
4161516
5236216
6258416
7312216
8500116

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.6b

localize26.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ (* (+ (* (+ y a) y) b) y) c) y)
0.1b
(* (+ (* x y) z) y)
0.1b
(* (+ (* (+ y a) y) b) y)
28.9b
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite57.0ms

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
times-frac associate-*r* associate-*l*
associate-*l/
flip3-+ flip-+
add-log-exp
pow-prod-down prod-exp associate-/r* *-commutative cbrt-unprod associate-/l* unswap-sqr
associate-/r/ associate-/l/
cbrt-undiv frac-2neg div-exp clear-num div-inv
Counts
4 → 91
Calls
4 calls:
12.0ms
(* (+ (* (+ (* (+ y a) y) b) y) c) y)
7.0ms
(* (+ (* x y) z) y)
9.0ms
(* (+ (* (+ y a) y) b) y)
27.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series474.0ms

Counts
4 → 12
Calls
4 calls:
70.0ms
(* (+ (* (+ (* (+ y a) y) b) y) c) y)
33.0ms
(* (+ (* x y) z) y)
33.0ms
(* (+ (* (+ y a) y) b) y)
338.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify65.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
05071214
122271108
250021108

prune479.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 28.7b

localize27.0ms

Local error

Found 4 expressions with local error:

23.9b
(cbrt (* (+ (* x y) z) y))
23.9b
(cbrt (* (+ (* x y) z) y))
23.9b
(cbrt (* (+ (* x y) z) y))
28.9b
(/ (+ (* (+ (* (+ (* (* (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))

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
times-frac
add-exp-log cbrt-div associate-*l/ add-cbrt-cube
flip3-+ flip-+
pow1 add-log-exp
cbrt-prod pow1/3 associate-/r* associate-/l*
associate-/r/ associate-/l/
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))
37.0ms
(/ (+ (* (+ (* (+ (* (* (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))

series780.0ms

Counts
4 → 12
Calls
4 calls:
123.0ms
(cbrt (* (+ (* x y) z) y))
127.0ms
(cbrt (* (+ (* x y) z) y))
123.0ms
(cbrt (* (+ (* x y) z) y))
406.0ms
(/ (+ (* (+ (* (+ (* (* (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))

simplify47.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
03931666
112261529
250011486

prune482.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 28.7b

localize32.0ms

Local error

Found 4 expressions with local error:

23.9b
(cbrt (* (+ (* x y) z) y))
23.9b
(cbrt (* (+ (* x y) z) y))
23.9b
(cbrt (* (+ (* x y) z) y))
28.9b
(/ (+ (* (+ (* (+ (* (* (cbrt (* (+ (* x y) z) y)) (* (* (cbrt (cbrt (* (+ (* x y) z) y))) (cbrt (cbrt (* (+ (* x y) z) y)))) (cbrt (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))

rewrite87.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
times-frac
add-exp-log cbrt-div associate-*l/ add-cbrt-cube
flip3-+ flip-+
pow1 add-log-exp
cbrt-prod pow1/3 associate-/r* associate-/l*
associate-/r/ associate-/l/
cbrt-undiv frac-2neg div-exp clear-num div-inv
Counts
4 → 64
Calls
4 calls:
6.0ms
(cbrt (* (+ (* x y) z) y))
6.0ms
(cbrt (* (+ (* x y) z) y))
6.0ms
(cbrt (* (+ (* x y) z) y))
68.0ms
(/ (+ (* (+ (* (+ (* (* (cbrt (* (+ (* x y) z) y)) (* (* (cbrt (cbrt (* (+ (* x y) z) y))) (cbrt (cbrt (* (+ (* x y) z) y)))) (cbrt (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))

series792.0ms

Counts
4 → 12
Calls
4 calls:
128.0ms
(cbrt (* (+ (* x y) z) y))
123.0ms
(cbrt (* (+ (* x y) z) y))
128.0ms
(cbrt (* (+ (* x y) z) y))
412.0ms
(/ (+ (* (+ (* (+ (* (* (cbrt (* (+ (* x y) z) y)) (* (* (cbrt (cbrt (* (+ (* x y) z) y))) (cbrt (cbrt (* (+ (* x y) z) y)))) (cbrt (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))

simplify50.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
04022264
112492075
250022045

prune540.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 28.7b

localize27.0ms

Local error

Found 4 expressions with local error:

17.8b
(cbrt (+ (* (+ y a) y) b))
17.8b
(cbrt (+ (* (+ y a) y) b))
17.8b
(cbrt (+ (* (+ y a) y) b))
28.9b
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (* (cbrt (+ (* (+ y a) y) b)) (cbrt (+ (* (+ y a) y) b))) (* (cbrt (+ (* (+ y a) y) b)) y)) c) y) i))

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
cbrt-prod times-frac
add-exp-log cbrt-div add-cbrt-cube
flip3-+ flip-+
pow1 add-log-exp
pow1/3 associate-/r* associate-/l*
associate-/r/ associate-/l/
cbrt-undiv frac-2neg div-exp clear-num div-inv
Counts
4 → 70
Calls
4 calls:
9.0ms
(cbrt (+ (* (+ y a) y) b))
6.0ms
(cbrt (+ (* (+ y a) y) b))
6.0ms
(cbrt (+ (* (+ y a) y) b))
46.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (* (cbrt (+ (* (+ y a) y) b)) (cbrt (+ (* (+ y a) y) b))) (* (cbrt (+ (* (+ y a) y) b)) y)) c) y) i))

series668.0ms

Counts
4 → 12
Calls
4 calls:
112.0ms
(cbrt (+ (* (+ y a) y) b))
106.0ms
(cbrt (+ (* (+ y a) y) b))
104.0ms
(cbrt (+ (* (+ y a) y) b))
345.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (* (cbrt (+ (* (+ y a) y) b)) (cbrt (+ (* (+ y a) y) b))) (* (cbrt (+ (* (+ y a) y) b)) y)) c) y) i))

simplify44.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
03311684
111221547
250021523

prune439.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 28.7b

regimes673.0ms

Accuracy

0% (1.2b remaining)

Error of 29.2b against oracle of 28.0b and baseline of 29.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05040
15040

end0.0ms

sample880.0ms

Algorithm
intervals
Results
526.0ms8229×body80valid