Details

Time bar (total: 7.7s)

sample60.0ms

Algorithm
intervals
Results
37.0ms262×body80valid

simplify87.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04816
110216
229216
380316
4214316
5361616
6416616
7500216

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.6b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite109.0ms

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×expm1-log1p-u log1p-expm1-u 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 → 99
Calls
4 calls:
10.0ms
(* (+ (* x y) z) y)
19.0ms
(* (+ (* (+ y a) y) b) y)
29.0ms
(* (+ (* (+ (* (+ y a) y) b) y) c) y)
49.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series465.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(* (+ (* x y) z) y)
35.0ms
(* (+ (* (+ y a) y) b) y)
71.0ms
(* (+ (* (+ (* (+ y a) y) b) y) c) y)
322.0ms
(/ (+ (* (+ (* (+ (* (+ (* 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
111 → 111
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
05331196
121541068
250021049

prune584.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 28.6b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (fma (fma x y z) y 27464.7644705) y 230661.510616)
0.0b
(fma (fma (fma (+ y a) y b) y c) y i)
0.1b
(fma (fma (+ y a) y b) y c)
28.9b
(/ (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) 1))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
11×add-exp-log
9×add-cbrt-cube
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
3×times-frac div-exp fma-udef associate-/l*
2×cbrt-undiv prod-exp
1×frac-2neg 1-exp clear-num associate-/r* cbrt-unprod div-inv
Counts
4 → 54
Calls
4 calls:
0.0ms
(fma (fma (fma x y z) y 27464.7644705) y 230661.510616)
0.0ms
(fma (fma (fma (+ y a) y b) y c) y i)
0.0ms
(fma (fma (+ y a) y b) y c)
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) 1))

series515.0ms

Counts
4 → 12
Calls
4 calls:
59.0ms
(fma (fma (fma x y z) y 27464.7644705) y 230661.510616)
98.0ms
(fma (fma (fma (+ y a) y b) y c) y i)
58.0ms
(fma (fma (+ y a) y b) y c)
298.0ms
(/ (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) 1))

simplify95.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 2 (19.0ms)

IterNodesCost
0227524
1684441
23145435
35002435

prune357.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 28.6b

localize22.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
0.1b
(* (+ (* x y) z) y)
0.2b
(/ 1 (* (fma (fma (fma (+ y a) y b) y c) y i) 1))
29.0b
(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (* (fma (fma (fma (+ y a) y b) y c) y i) 1)))

rewrite99.0ms

Algorithm
rewrite-expression-head
Rules
49×add-exp-log
24×prod-exp
22×add-cbrt-cube
19×add-sqr-sqrt
13×pow1 add-cube-cbrt *-un-lft-identity associate-*r*
12×1-exp div-exp
9×associate-*l*
7×cbrt-unprod
6×rec-exp times-frac associate-*l/
4×cbrt-undiv expm1-log1p-u flip3-+ pow-prod-down flip-+ log1p-expm1-u add-log-exp
3×*-commutative associate-/l* unswap-sqr
2×frac-times pow-flip div-inv
1×frac-2neg associate-*r/ clear-num associate-/r* un-div-inv inv-pow
Counts
4 → 118
Calls
4 calls:
19.0ms
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
10.0ms
(* (+ (* x y) z) y)
4.0ms
(/ 1 (* (fma (fma (fma (+ y a) y b) y c) y i) 1))
60.0ms
(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (* (fma (fma (fma (+ y a) y b) y c) y i) 1)))

series451.0ms

Counts
4 → 12
Calls
4 calls:
55.0ms
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
32.0ms
(* (+ (* x y) z) y)
58.0ms
(/ 1 (* (fma (fma (fma (+ y a) y b) y c) y i) 1))
305.0ms
(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (* (fma (fma (fma (+ y a) y b) y c) y i) 1)))

simplify65.0ms

Algorithm
egg-herbie
Counts
130 → 130
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
05451168
12207978
25003910

prune569.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 28.6b

localize29.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ (* (+ y a) y) b) y)
0.1b
(* (+ (* (+ (* (+ y a) y) b) y) c) y)
0.2b
(/ 1 (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))
28.9b
(/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))

rewrite145.0ms

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 expm1-log1p-u associate-*l/ log1p-expm1-u 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 → 163
Calls
4 calls:
18.0ms
(* (+ (* (+ y a) y) b) y)
29.0ms
(* (+ (* (+ (* (+ y a) y) b) y) c) y)
46.0ms
(/ 1 (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))
47.0ms
(/ (+ (* (+ (* (+ (* (+ 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:
35.0ms
(* (+ (* (+ y a) y) b) y)
73.0ms
(* (+ (* (+ (* (+ y a) y) b) y) c) y)
431.0ms
(/ 1 (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))
475.0ms
(/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))

simplify106.0ms

Algorithm
egg-herbie
Counts
175 → 175
Iterations

Useful iterations: 2 (72.0ms)

IterNodesCost
07013476
131933062
250012902

prune702.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 28.6b

regimes531.0ms

Accuracy

0% (1.1b remaining)

Error of 29.0b against oracle of 27.9b and baseline of 29.0b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03915
14115
24115

end0.0ms

sample1.6s

Algorithm
intervals
Results
1.2s8221×body80valid