Details

Time bar (total: 8.0s)

sample36.0ms

Algorithm
intervals
Results
17.0ms266×body80valid

simplify93.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
04816
110216
229216
380316
4214316
5361616
6416616
7500216

prune4.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 25.5b

Counts
2 → 1

localize22.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
0.1b
(* (+ (* (+ y a) y) b) y)
0.1b
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
25.0b
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite149.0ms

Algorithm
rewrite-expression-head
Rules
652×*-un-lft-identity
434×distribute-lft-out
357×associate-*l*
110×times-frac
39×add-sqr-sqrt
33×add-cube-cbrt
12×add-exp-log add-cbrt-cube
11×associate-/l*
10×pow1 associate-/r*
9×associate-*r*
6×associate-*l/
5×flip3-+ flip-+
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
2×associate-/r/ associate-/l/
1×cbrt-undiv frac-2neg div-exp clear-num div-inv
Counts
4 → 228
Calls
4 calls:
27.0ms
(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
14.0ms
(* (+ (* (+ y a) y) b) y)
23.0ms
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
66.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series488.0ms

Counts
4 → 12
Calls
4 calls:
78.0ms
(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
36.0ms
(* (+ (* (+ y a) y) b) y)
51.0ms
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
323.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify88.0ms

Algorithm
egg-herbie
Counts
240 → 240
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
05393531
122022896
250032869

prune609.0ms

Filtered
240 candidates to 97 candidates (40.4%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New23010240
Fresh000
Picked101
Done000
Total23110241

Merged error: 24.6b

Counts
241 → 10

localize23.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
0.1b
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
0.3b
(/ 1 (* (fma (fma (fma (+ y a) y b) y c) y i) 1))
24.9b
(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (* (fma (fma (fma (+ y a) y b) y c) y i) 1)))

rewrite127.0ms

Algorithm
rewrite-expression-head
Rules
142×*-un-lft-identity
123×add-sqr-sqrt
86×associate-*l*
84×times-frac
79×associate-*r*
70×add-cube-cbrt
52×associate-/r*
49×add-exp-log
38×frac-times distribute-lft-out
33×unswap-sqr
24×prod-exp
22×flip3-+ add-cbrt-cube flip-+
19×associate-*r/
13×pow1 *-commutative associate-/l*
12×1-exp div-exp
7×cbrt-unprod
6×rec-exp associate-*l/
5×clear-num
4×cbrt-undiv expm1-log1p-u frac-2neg pow-prod-down log1p-expm1-u add-log-exp
3×un-div-inv
2×pow-flip div-inv
1×inv-pow
Counts
4 → 282
Calls
4 calls:
30.0ms
(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
19.0ms
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
7.0ms
(/ 1 (* (fma (fma (fma (+ y a) y b) y c) y i) 1))
58.0ms
(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (* (fma (fma (fma (+ y a) y b) y c) y i) 1)))

series500.0ms

Counts
4 → 12
Calls
4 calls:
79.0ms
(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
54.0ms
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
56.0ms
(/ 1 (* (fma (fma (fma (+ y a) y b) y c) y i) 1))
311.0ms
(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (* (fma (fma (fma (+ y a) y b) y c) y i) 1)))

simplify134.0ms

Algorithm
egg-herbie
Counts
294 → 294
Iterations

Useful iterations: 2 (94.0ms)

IterNodesCost
09273831
145053386
250013381

prune1.0s

Filtered
294 candidates to 157 candidates (53.4%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New2913294
Fresh459
Picked011
Done000
Total2959304

Merged error: 24.6b

Counts
304 → 9

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (fma (fma (+ y a) y b) y c) y i)
0.0b
(fma (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y t)
0.1b
(fma (fma (fma x y z) y 27464.7644705) y 230661.510616)
25.0b
(/ (fma (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y t) (fma (fma (fma (+ y a) y b) y c) y i))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
6×add-exp-log add-cbrt-cube
4×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
3×associate-/r* fma-udef associate-/l*
1×cbrt-undiv frac-2neg div-exp clear-num div-inv
Counts
4 → 59
Calls
4 calls:
1.0ms
(fma (fma (fma (+ y a) y b) y c) y i)
1.0ms
(fma (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y t)
1.0ms
(fma (fma (fma x y z) y 27464.7644705) y 230661.510616)
3.0ms
(/ (fma (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y t) (fma (fma (fma (+ y a) y b) y c) y i))

series544.0ms

Counts
4 → 12
Calls
4 calls:
92.0ms
(fma (fma (fma (+ y a) y b) y c) y i)
96.0ms
(fma (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y t)
54.0ms
(fma (fma (fma x y z) y 27464.7644705) y 230661.510616)
301.0ms
(/ (fma (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y t) (fma (fma (fma (+ y a) y b) y c) y i))

simplify71.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 3 (63.0ms)

IterNodesCost
0193647
1550584
22350582
35001580

prune426.0ms

Filtered
71 candidates to 61 candidates (85.9%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New68371
Fresh257
Picked101
Done011
Total71980

Merged error: 24.6b

Counts
80 → 9

localize29.0ms

Local error

Found 4 expressions with local error:

17.1b
(cbrt (* (fma (fma (fma (+ y a) y b) y c) y i) 1))
17.1b
(cbrt (fma (fma (fma (+ y a) y b) y c) y i))
17.1b
(cbrt (fma (fma (fma (+ y a) y b) y c) y i))
22.2b
(/ (fma (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y t) (* (cbrt (fma (fma (fma (+ y a) y b) y c) y i)) (cbrt (fma (fma (fma (+ y a) y b) y c) y i))))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
108×add-sqr-sqrt
83×cbrt-prod
81×times-frac
74×*-un-lft-identity
73×add-cube-cbrt
27×associate-*r* associate-*l* associate-/r*
24×swap-sqr
18×unswap-sqr
14×add-cbrt-cube
9×add-exp-log
5×cbrt-undiv *-commutative
4×pow1 expm1-log1p-u cbrt-unprod log1p-expm1-u add-log-exp
3×pow1/3 associate-/l*
2×div-exp
1×frac-2neg prod-exp clear-num div-inv
Counts
4 → 179
Calls
4 calls:
6.0ms
(cbrt (* (fma (fma (fma (+ y a) y b) y c) y i) 1))
1.0ms
(cbrt (fma (fma (fma (+ y a) y b) y c) y i))
1.0ms
(cbrt (fma (fma (fma (+ y a) y b) y c) y i))
12.0ms
(/ (fma (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y t) (* (cbrt (fma (fma (fma (+ y a) y b) y c) y i)) (cbrt (fma (fma (fma (+ y a) y b) y c) y i))))

series927.0ms

Counts
4 → 12
Calls
4 calls:
143.0ms
(cbrt (* (fma (fma (fma (+ y a) y b) y c) y i) 1))
140.0ms
(cbrt (fma (fma (fma (+ y a) y b) y c) y i))
142.0ms
(cbrt (fma (fma (fma (+ y a) y b) y c) y i))
502.0ms
(/ (fma (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y t) (* (cbrt (fma (fma (fma (+ y a) y b) y c) y i)) (cbrt (fma (fma (fma (+ y a) y b) y c) y i))))

simplify83.0ms

Algorithm
egg-herbie
Counts
191 → 191
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
05373954
122303668
250013491

prune1.0s

Filtered
191 candidates to 126 candidates (66.0%)
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New1892191
Fresh077
Picked011
Done011
Total18911200

Merged error: 24.6b

Counts
200 → 11

regimes626.0ms

Accuracy

0% (1.3b remaining)

Error of 28.9b against oracle of 27.6b and baseline of 28.9b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03915
14115
24115

end0.0ms

sample904.0ms

Algorithm
intervals
Results
540.0ms8247×body80valid