Details

Time bar (total: 23.3s)

sample64.0ms

Algorithm
intervals
Results
38.0ms267×body80valid

simplify3.9s

Counts
1 → 1
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
026650
148475
2102475
3302475
4962475
53986475
done5000475

prune48.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 28.4b

localize53.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (fma x y z) y 27464.7644705)
0.0b
(fma (fma (+ y a) y b) y c)
0.1b
(fma (fma (fma x y z) y 27464.7644705) y 230661.510616)
27.7b
(/ (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 *-un-lft-identity add-cube-cbrt
9×times-frac
6×add-cbrt-cube add-exp-log
4×expm1-log1p-u pow1 log1p-expm1-u add-log-exp
3×associate-/r* fma-udef associate-/l*
1×cbrt-undiv clear-num frac-2neg div-exp div-inv
Counts
4 → 59
Calls
4 calls:
0.0ms
(fma (fma x y z) y 27464.7644705)
0.0ms
(fma (fma (+ y a) y b) y c)
0.0ms
(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))

series779.0ms

Counts
4 → 12
Calls
4 calls:
57.0ms
(fma (fma x y z) y 27464.7644705)
94.0ms
(fma (fma (+ y a) y b) y c)
80.0ms
(fma (fma (fma x y z) y 27464.7644705) y 230661.510616)
548.0ms
(/ (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))

simplify1.9s

Counts
71 → 71
Iterations

Useful iterations: done (1.9s)

IterNodesCost
011729065
120126711
254226501
3226126376
done500026251

prune956.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 26.9b

localize51.0ms

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)
0.1b
(* (fma (+ y a) y b) y)
27.7b
(/ (fma (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y t) (fma (+ (* (fma (+ y a) y b) y) c) y i))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
14×*-un-lft-identity add-cube-cbrt
9×times-frac
8×add-cbrt-cube add-exp-log
6×pow1
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×associate-/r* associate-*r* associate-*l* associate-/l*
2×fma-udef
1×cbrt-undiv clear-num frac-2neg div-exp pow-prod-down prod-exp *-commutative cbrt-unprod div-inv unswap-sqr
Counts
4 → 69
Calls
4 calls:
0.0ms
(fma (fma x y z) y 27464.7644705)
0.0ms
(fma (fma (fma x y z) y 27464.7644705) y 230661.510616)
10.0ms
(* (fma (+ y a) y b) y)
8.0ms
(/ (fma (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y t) (fma (+ (* (fma (+ y a) y b) y) c) y i))

series1.1s

Counts
4 → 12
Calls
4 calls:
66.0ms
(fma (fma x y z) y 27464.7644705)
82.0ms
(fma (fma (fma x y z) y 27464.7644705) y 230661.510616)
54.0ms
(* (fma (+ y a) y b) y)
849.0ms
(/ (fma (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y t) (fma (+ (* (fma (+ y a) y b) y) c) y i))

simplify1.2s

Counts
81 → 81
Iterations

Useful iterations: done (1.1s)

IterNodesCost
013531810
124228495
277028230
done500028105

prune970.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 26.9b

localize99.0ms

Local error

Found 4 expressions with local error:

0.0b
(* y (+ (* y y) b))
0.1b
(fma (fma (fma x y z) y 27464.7644705) y 230661.510616)
10.0b
(fma (* y y) a (* y (+ (* y y) b)))
27.7b
(/ (fma (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y t) (fma (+ (fma (* y y) a (* y (+ (* y y) b))) c) y i))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
14×*-un-lft-identity add-cube-cbrt
9×times-frac
8×add-cbrt-cube add-exp-log
6×pow1
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×associate-/r* associate-*r* associate-*l* associate-/l*
2×associate-*r/ fma-udef
1×distribute-rgt-in cbrt-undiv clear-num frac-2neg distribute-lft-in flip3-+ div-exp pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ div-inv unswap-sqr
Counts
4 → 73
Calls
4 calls:
39.0ms
(* y (+ (* y y) b))
0.0ms
(fma (fma (fma x y z) y 27464.7644705) y 230661.510616)
0.0ms
(fma (* y y) a (* y (+ (* y y) b)))
8.0ms
(/ (fma (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y t) (fma (+ (fma (* y y) a (* y (+ (* y y) b))) c) y i))

series784.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(* y (+ (* y y) b))
107.0ms
(fma (fma (fma x y z) y 27464.7644705) y 230661.510616)
75.0ms
(fma (* y y) a (* y (+ (* y y) b)))
561.0ms
(/ (fma (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y t) (fma (+ (fma (* y y) a (* y (+ (* y y) b))) c) y i))

simplify1.9s

Counts
85 → 85
Iterations

Useful iterations: done (1.9s)

IterNodesCost
014034116
131631135
2154330720
done500030350

prune1.1s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 26.9b

localize102.0ms

Local error

Found 4 expressions with local error:

22.5b
(cbrt (fma (fma (+ y a) y b) y c))
22.5b
(cbrt (fma (fma (+ y a) y b) y c))
22.5b
(cbrt (fma (fma (+ y a) y b) y c))
27.7b
(/ (fma (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y t) (fma (* (* (cbrt (fma (fma (+ y a) y b) y c)) (cbrt (fma (fma (+ y a) y b) y c))) (cbrt (fma (fma (+ y a) y b) y c))) y i))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
9×cbrt-prod times-frac
6×add-cbrt-cube add-exp-log
4×expm1-log1p-u pow1 log1p-expm1-u add-log-exp
3×associate-/r* pow1/3 associate-/l*
1×cbrt-undiv clear-num frac-2neg div-exp div-inv
Counts
4 → 68
Calls
4 calls:
1.0ms
(cbrt (fma (fma (+ y a) y b) y c))
1.0ms
(cbrt (fma (fma (+ y a) y b) y c))
1.0ms
(cbrt (fma (fma (+ y a) y b) y c))
4.0ms
(/ (fma (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y t) (fma (* (* (cbrt (fma (fma (+ y a) y b) y c)) (cbrt (fma (fma (+ y a) y b) y c))) (cbrt (fma (fma (+ y a) y b) y c))) y i))

series1.2s

Counts
4 → 12
Calls
4 calls:
197.0ms
(cbrt (fma (fma (+ y a) y b) y c))
237.0ms
(cbrt (fma (fma (+ y a) y b) y c))
211.0ms
(cbrt (fma (fma (+ y a) y b) y c))
514.0ms
(/ (fma (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y t) (fma (* (* (cbrt (fma (fma (+ y a) y b) y c)) (cbrt (fma (fma (+ y a) y b) y c))) (cbrt (fma (fma (+ y a) y b) y c))) y i))

simplify2.0s

Counts
80 → 80
Iterations

Useful iterations: done (2.0s)

IterNodesCost
09339376
115538470
234538390
3113932392
done500132377

prune1.0s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 26.9b

regimes1.6s

Accuracy

0% (1.0b remaining)

Error of 29.2b against oracle of 28.2b and baseline of 29.2b

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
021540
124540
done24540

end0.0ms

sample2.5s

Algorithm
intervals
Results
1.9s8259×body80valid