Details

Time bar (total: 6.5s)

sample37.0ms

Algorithm
intervals
Results
17.0ms264×body80valid

simplify88.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04816
110216
229216
380316
4214316
5361616
6416616
7500216

prune4.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.6b

localize22.0ms

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))

rewrite58.0ms

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:
9.0ms
(* (+ (* (+ y a) y) b) y)
7.0ms
(* (+ (* x y) z) y)
10.0ms
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
29.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series460.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(* (+ (* (+ y a) y) b) y)
32.0ms
(* (+ (* x y) z) y)
56.0ms
(* (+ (* (+ (* x y) z) y) 27464.7644705) 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
111 → 111
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
05341179
121481042
250011024

prune603.0ms

Filtered
111 candidates to 96 candidates (86.5%)
Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 29.6b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (fma (+ y a) y b) y c)
0.0b
(fma (fma x y z) y 27464.7644705)
0.1b
(fma (fma (fma x y z) y 27464.7644705) y 230661.510616)
29.8b
(/ (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))

rewrite7.0ms

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:
1.0ms
(fma (fma (+ y a) y b) y c)
1.0ms
(fma (fma x y z) y 27464.7644705)
1.0ms
(fma (fma (fma x y z) y 27464.7644705) y 230661.510616)
4.0ms
(/ (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))

series464.0ms

Counts
4 → 12
Calls
4 calls:
55.0ms
(fma (fma (+ y a) y b) y c)
42.0ms
(fma (fma x y z) y 27464.7644705)
57.0ms
(fma (fma (fma x y z) y 27464.7644705) y 230661.510616)
310.0ms
(/ (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))

simplify78.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 2 (18.0ms)

IterNodesCost
0228497
1651415
22915411
35002411

prune365.0ms

Filtered
66 candidates to 54 candidates (81.8%)
Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 29.6b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (fma x y z) y 27464.7644705)
0.1b
(fma (fma (fma x y z) y 27464.7644705) y 230661.510616)
0.7b
(/ 1 (fma (fma (fma (+ y a) y b) y c) y i))
29.4b
(* (fma (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y t) (/ 1 (fma (fma (fma (+ y a) y b) y c) y i)))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt
21×*-un-lft-identity
20×add-cube-cbrt times-frac
17×add-exp-log
13×associate-*r*
11×add-cbrt-cube
7×pow1
4×expm1-log1p-u div-exp prod-exp log1p-expm1-u add-log-exp
3×associate-*l* associate-/r* associate-/l* unswap-sqr
2×cbrt-undiv rec-exp 1-exp cbrt-unprod fma-udef div-inv
1×pow-flip frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv *-commutative inv-pow
Counts
4 → 91
Calls
4 calls:
1.0ms
(fma (fma x y z) y 27464.7644705)
1.0ms
(fma (fma (fma x y z) y 27464.7644705) y 230661.510616)
3.0ms
(/ 1 (fma (fma (fma (+ y a) y b) y c) y i))
7.0ms
(* (fma (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y t) (/ 1 (fma (fma (fma (+ y a) y b) y c) y i)))

series469.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(fma (fma x y z) y 27464.7644705)
58.0ms
(fma (fma (fma x y z) y 27464.7644705) y 230661.510616)
60.0ms
(/ 1 (fma (fma (fma (+ y a) y b) y c) y i))
312.0ms
(* (fma (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y t) (/ 1 (fma (fma (fma (+ y a) y b) y c) y i)))

simplify41.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0278886
11016769
25001737

prune463.0ms

Filtered
103 candidates to 69 candidates (67.0%)
Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 29.6b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (fma x y z) y 27464.7644705)
0.1b
(fma (fma (fma x y z) y 27464.7644705) y 230661.510616)
0.4b
(/ 1 (/ (fma (fma (fma (+ y a) y b) y c) y i) (fma (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y t)))
29.9b
(/ (fma (fma (fma (+ y a) y b) y c) y i) (fma (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y t))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
84×times-frac
54×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
17×add-exp-log
16×associate-/r*
11×add-cbrt-cube
8×div-exp
6×div-inv associate-/l*
5×pow1
4×cbrt-undiv expm1-log1p-u log1p-expm1-u add-log-exp
2×rec-exp frac-2neg 1-exp clear-num fma-udef
1×pow-flip associate-/r/ inv-pow
Counts
4 → 127
Calls
4 calls:
1.0ms
(fma (fma x y z) y 27464.7644705)
1.0ms
(fma (fma (fma x y z) y 27464.7644705) y 230661.510616)
6.0ms
(/ 1 (/ (fma (fma (fma (+ y a) y b) y c) y i) (fma (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y t)))
3.0ms
(/ (fma (fma (fma (+ y a) y b) y c) y i) (fma (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y t))

series1.0s

Counts
4 → 12
Calls
4 calls:
37.0ms
(fma (fma x y z) y 27464.7644705)
58.0ms
(fma (fma (fma x y z) y 27464.7644705) y 230661.510616)
436.0ms
(/ 1 (/ (fma (fma (fma (+ y a) y b) y c) y i) (fma (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y t)))
493.0ms
(/ (fma (fma (fma (+ y a) y b) y c) y i) (fma (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y t))

simplify62.0ms

Algorithm
egg-herbie
Counts
139 → 139
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
04001944
116701773
250021694

prune513.0ms

Filtered
139 candidates to 85 candidates (61.2%)
Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 29.6b

regimes650.0ms

Accuracy

0% (1.1b remaining)

Error of 29.3b against oracle of 28.2b and baseline of 29.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02711
12911
22911

end0.0ms

sample899.0ms

Algorithm
intervals
Results
529.0ms8230×body80valid