Details

Time bar (total: 6.7s)

sample40.0ms

Algorithm
intervals
Results
20.0ms268×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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 32.3b

localize23.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ (* x y) z) y)
0.1b
(* (+ (* (+ (* (+ y a) y) b) y) c) y)
0.1b
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
31.5b
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite113.0ms

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:
12.0ms
(* (+ (* x y) z) y)
29.0ms
(* (+ (* (+ (* (+ y a) y) b) y) c) y)
19.0ms
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
50.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series479.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(* (+ (* x y) z) y)
65.0ms
(* (+ (* (+ (* (+ y a) y) b) y) c) y)
55.0ms
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
320.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify69.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
05311215
121501085
250011065

prune603.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 31.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ 1 (* (fma (fma (fma (+ y a) y b) y c) y i) 1))
0.1b
(* (+ (* x y) z) y)
0.1b
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
31.6b
(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (* (fma (fma (fma (+ y a) y b) y c) y i) 1)))

rewrite100.0ms

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:
5.0ms
(/ 1 (* (fma (fma (fma (+ y a) y b) y c) y i) 1))
10.0ms
(* (+ (* x y) z) y)
20.0ms
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
62.0ms
(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (* (fma (fma (fma (+ y a) y b) y c) y i) 1)))

series461.0ms

Counts
4 → 12
Calls
4 calls:
56.0ms
(/ 1 (* (fma (fma (fma (+ y a) y b) y c) y i) 1))
37.0ms
(* (+ (* x y) z) y)
52.0ms
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
316.0ms
(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (* (fma (fma (fma (+ y a) y b) y c) y i) 1)))

simplify74.0ms

Algorithm
egg-herbie
Counts
130 → 130
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
05451168
12207978
25001910

prune556.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 31.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
31.6b
(* (+ (* (+ (* (+ (* (* (* (fma x y z) (cbrt y)) (cbrt y)) (cbrt y)) 27464.7644705) y) 230661.510616) y) t) (/ 1 (* (fma (fma (fma (+ y a) y b) y c) y i) 1)))

rewrite165.0ms

Algorithm
rewrite-expression-head
Rules
30×add-exp-log
16×prod-exp
13×add-cbrt-cube
12×add-sqr-sqrt
10×add-cube-cbrt *-un-lft-identity
9×cbrt-prod
7×associate-*r*
6×pow1 1-exp div-exp
4×expm1-log1p-u cbrt-unprod log1p-expm1-u add-log-exp
3×rec-exp times-frac pow1/3 associate-*l*
2×cbrt-undiv frac-times flip3-+ associate-*l/ flip-+
1×associate-*r/ pow-prod-down un-div-inv *-commutative div-inv unswap-sqr
Counts
4 → 80
Calls
4 calls:
0.0ms
(cbrt y)
0.0ms
(cbrt y)
1.0ms
(cbrt y)
162.0ms
(* (+ (* (+ (* (+ (* (* (* (fma x y z) (cbrt y)) (cbrt y)) (cbrt y)) 27464.7644705) y) 230661.510616) y) t) (/ 1 (* (fma (fma (fma (+ y a) y b) y c) y i) 1)))

series874.0ms

Counts
4 → 12
Calls
4 calls:
175.0ms
(cbrt y)
174.0ms
(cbrt y)
180.0ms
(cbrt y)
344.0ms
(* (+ (* (+ (* (+ (* (* (* (fma x y z) (cbrt y)) (cbrt y)) (cbrt y)) 27464.7644705) y) 230661.510616) y) t) (/ 1 (* (fma (fma (fma (+ y a) y b) y c) y i) 1)))

simplify52.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
03651062
11380893
25001834

prune487.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 31.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ (* (+ (* (+ y a) y) b) y) c) y)
6.4b
(* z (pow y 2))
11.9b
(fma x (pow y 3) (* z (pow y 2)))
31.5b
(/ (+ (* (+ (fma x (pow y 3) (* z (pow y 2))) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
17×add-cube-cbrt *-un-lft-identity
13×add-exp-log
11×associate-*r*
10×add-cbrt-cube
9×times-frac
6×pow1 associate-*l*
5×unswap-sqr
4×expm1-log1p-u unpow-prod-down prod-exp log1p-expm1-u add-log-exp
3×flip3-+ associate-/r* flip-+ associate-/l*
2×associate-*l/ associate-/r/ *-commutative cbrt-unprod associate-/l/ unpow2 sqr-pow
1×cbrt-undiv pow-to-exp frac-2neg div-exp pow-prod-down pow-exp clear-num fma-udef div-inv
Counts
4 → 94
Calls
4 calls:
29.0ms
(* (+ (* (+ (* (+ y a) y) b) y) c) y)
6.0ms
(* z (pow y 2))
0.0ms
(fma x (pow y 3) (* z (pow y 2)))
35.0ms
(/ (+ (* (+ (fma x (pow y 3) (* z (pow y 2))) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series443.0ms

Counts
4 → 12
Calls
4 calls:
69.0ms
(* (+ (* (+ (* (+ y a) y) b) y) c) y)
29.0ms
(* z (pow y 2))
53.0ms
(fma x (pow y 3) (* z (pow y 2)))
293.0ms
(/ (+ (* (+ (fma x (pow y 3) (* z (pow y 2))) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify58.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
04381119
117851008
25002995

prune500.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 31.0b

regimes504.0ms

Accuracy

0% (1.2b remaining)

Error of 29.4b against oracle of 28.2b and baseline of 29.4b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04119
14319
24319

end0.0ms

sample902.0ms

Algorithm
intervals
Results
541.0ms8245×body80valid