Details

Time bar (total: 6.8s)

sample42.0ms

Algorithm
intervals
Results
18.0ms264×body80valid

simplify91.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
04816
110216
229216
380316
4214316
5361616
6416616
7500216

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.6b

localize23.0ms

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))

rewrite60.0ms

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)
11.0ms
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
30.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series471.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(* (+ (* (+ y a) y) b) y)
34.0ms
(* (+ (* x y) z) y)
59.0ms
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
338.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify67.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
05341179
121481042
250011024

prune616.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 29.6b

localize22.0ms

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))

rewrite8.0ms

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)
5.0ms
(/ (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))

series479.0ms

Counts
4 → 12
Calls
4 calls:
62.0ms
(fma (fma (+ y a) y b) y c)
39.0ms
(fma (fma x y z) y 27464.7644705)
61.0ms
(fma (fma (fma x y z) y 27464.7644705) y 230661.510616)
316.0ms
(/ (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))

simplify82.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 2 (19.0ms)

IterNodesCost
0228497
1651415
22915411
35002411

prune369.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 29.6b

localize26.0ms

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
(* (/ 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))

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-*l*
11×add-cbrt-cube
7×pow1
4×expm1-log1p-u div-exp prod-exp fma-udef log1p-expm1-u add-log-exp
3×associate-*r* associate-/r* associate-/l* unswap-sqr
2×cbrt-undiv rec-exp 1-exp cbrt-unprod div-inv
1×distribute-rgt-in pow-flip frac-2neg distribute-lft-in pow-prod-down associate-*l/ clear-num *-commutative inv-pow
Counts
4 → 92
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
(* (/ 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))

series615.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(fma (fma x y z) y 27464.7644705)
62.0ms
(fma (fma (fma x y z) y 27464.7644705) y 230661.510616)
58.0ms
(/ 1 (fma (fma (fma (+ y a) y b) y c) y i))
456.0ms
(* (/ 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))

simplify44.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0290912
11074795
25001768

prune488.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 29.6b

localize22.0ms

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:
38.0ms
(fma (fma x y z) y 27464.7644705)
60.0ms
(fma (fma (fma x y z) y 27464.7644705) y 230661.510616)
449.0ms
(/ 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)))
495.0ms
(/ (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))

simplify58.0ms

Algorithm
egg-herbie
Counts
139 → 139
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
04001944
116701773
250021694

prune523.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 29.6b

regimes662.0ms

Accuracy

0% (1.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02711
12911
22911

end0.0ms

sample969.0ms

Algorithm
intervals
Results
584.0ms8230×body80valid