Details

Time bar (total: 8.4s)

sample36.0ms

Algorithm
intervals
Results
17.0ms264×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: 32.8b

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)
0.1b
(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
32.0b
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite126.0ms

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:
20.0ms
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
20.0ms
(* (+ (* (+ y a) y) b) y)
32.0ms
(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
51.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series506.0ms

Counts
4 → 12
Calls
4 calls:
52.0ms
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
39.0ms
(* (+ (* (+ y a) y) b) y)
83.0ms
(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
333.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify66.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
05131302
122741176
250021174

prune489.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 31.0b

localize29.0ms

Local error

Found 4 expressions with local error:

20.2b
(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
20.2b
(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
20.2b
(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
32.0b
(/ (+ (* (+ (* (* (cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y)) (cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))) (cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite164.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
6×add-exp-log cbrt-div associate-*l/ add-cbrt-cube
5×flip3-+ flip-+
4×pow1 add-log-exp
3×cbrt-prod pow1/3 associate-/r* associate-/l*
2×associate-/r/ associate-/l/
1×cbrt-undiv frac-2neg div-exp clear-num div-inv
Counts
4 → 64
Calls
4 calls:
7.0ms
(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
7.0ms
(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
7.0ms
(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
141.0ms
(/ (+ (* (+ (* (* (cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y)) (cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))) (cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series1.0s

Counts
4 → 12
Calls
4 calls:
193.0ms
(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
191.0ms
(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
191.0ms
(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
444.0ms
(/ (+ (* (+ (* (* (cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y)) (cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) 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 (33.0ms)

IterNodesCost
04021958
112531790
250011745

prune512.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 31.0b

localize32.0ms

Local error

Found 4 expressions with local error:

18.8b
(cbrt (+ (* (+ (* x y) z) y) 27464.7644705))
20.2b
(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
20.2b
(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
32.0b
(/ (+ (* (+ (* (* (cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y)) (* (cbrt (+ (* (+ (* x y) z) y) 27464.7644705)) (cbrt y))) (cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite335.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
6×add-exp-log cbrt-div add-cbrt-cube
5×cbrt-prod flip3-+ flip-+
4×pow1 associate-*l/ add-log-exp
3×pow1/3 associate-/r* associate-/l*
2×associate-/r/ associate-/l/
1×cbrt-undiv frac-2neg div-exp clear-num div-inv
Counts
4 → 66
Calls
4 calls:
5.0ms
(cbrt (+ (* (+ (* x y) z) y) 27464.7644705))
7.0ms
(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
7.0ms
(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
314.0ms
(/ (+ (* (+ (* (* (cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y)) (* (cbrt (+ (* (+ (* x y) z) y) 27464.7644705)) (cbrt y))) (cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series1.0s

Counts
4 → 12
Calls
4 calls:
173.0ms
(cbrt (+ (* (+ (* x y) z) y) 27464.7644705))
194.0ms
(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
195.0ms
(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
453.0ms
(/ (+ (* (+ (* (* (cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y)) (* (cbrt (+ (* (+ (* x y) z) y) 27464.7644705)) (cbrt y))) (cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify54.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
04892008
114991841
250021818

prune559.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 31.0b

localize32.0ms

Local error

Found 4 expressions with local error:

18.8b
(cbrt (+ (* (+ (* x y) z) y) 27464.7644705))
18.8b
(cbrt (+ (* (+ (* x y) z) y) 27464.7644705))
18.8b
(cbrt (+ (* (+ (* x y) z) y) 27464.7644705))
32.0b
(/ (+ (* (+ (* (* (cbrt (+ (* (+ (* x y) z) y) 27464.7644705)) (cbrt (+ (* (+ (* x y) z) y) 27464.7644705))) (* (cbrt (+ (* (+ (* x y) z) y) 27464.7644705)) y)) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite242.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×cbrt-prod times-frac
6×add-exp-log cbrt-div add-cbrt-cube
5×flip3-+ flip-+
4×pow1 add-log-exp
3×pow1/3 associate-/r* associate-/l*
2×associate-/r/ associate-/l/
1×cbrt-undiv frac-2neg div-exp clear-num div-inv
Counts
4 → 70
Calls
4 calls:
5.0ms
(cbrt (+ (* (+ (* x y) z) y) 27464.7644705))
5.0ms
(cbrt (+ (* (+ (* x y) z) y) 27464.7644705))
5.0ms
(cbrt (+ (* (+ (* x y) z) y) 27464.7644705))
225.0ms
(/ (+ (* (+ (* (* (cbrt (+ (* (+ (* x y) z) y) 27464.7644705)) (cbrt (+ (* (+ (* x y) z) y) 27464.7644705))) (* (cbrt (+ (* (+ (* x y) z) y) 27464.7644705)) y)) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series824.0ms

Counts
4 → 12
Calls
4 calls:
168.0ms
(cbrt (+ (* (+ (* x y) z) y) 27464.7644705))
168.0ms
(cbrt (+ (* (+ (* x y) z) y) 27464.7644705))
166.0ms
(cbrt (+ (* (+ (* x y) z) y) 27464.7644705))
322.0ms
(/ (+ (* (+ (* (* (cbrt (+ (* (+ (* x y) z) y) 27464.7644705)) (cbrt (+ (* (+ (* x y) z) y) 27464.7644705))) (* (cbrt (+ (* (+ (* x y) z) y) 27464.7644705)) y)) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify53.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
03711878
112091727
250011712

prune463.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 31.0b

regimes769.0ms

Accuracy

36.4% (0.7b remaining)

Error of 28.7b against oracle of 28.0b and baseline of 29.1b

bsearch4.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06148
16148

end0.0ms

sample890.0ms

Algorithm
intervals
Results
531.0ms8248×body80valid