Details

Time bar (total: 11.8s)

sample28.0ms

Algorithm
intervals
Results
10.0ms265×body80valid

simplify43.0ms

Counts
1 → 1
Iterations

Useful iterations: 3 (14.0ms)

IterNodesCost
01517
12617
23817
35015
46015
56415
done6415

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 9.9b

localize11.0ms

Local error

Found 3 expressions with local error:

1.9b
(fma (/ y t) b a)
2.7b
(fma (/ y t) z x)
9.7b
(/ (fma (/ y t) z x) (+ (fma (/ y t) b a) 1.0))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
20×*-un-lft-identity
12×add-sqr-sqrt add-cube-cbrt times-frac
5×add-exp-log add-cbrt-cube
4×associate-/r* distribute-lft-out
3×pow1 expm1-log1p-u log1p-expm1-u associate-/l* add-log-exp
2×associate-/r/ fma-udef
1×cbrt-undiv frac-2neg flip3-+ div-exp clear-num flip-+ div-inv
Counts
3 → 55
Calls
3 calls:
0.0ms
(fma (/ y t) b a)
0.0ms
(fma (/ y t) z x)
11.0ms
(/ (fma (/ y t) z x) (+ (fma (/ y t) b a) 1.0))

series548.0ms

Counts
3 → 9
Calls
3 calls:
43.0ms
(fma (/ y t) b a)
44.0ms
(fma (/ y t) z x)
462.0ms
(/ (fma (/ y t) z x) (+ (fma (/ y t) b a) 1.0))

simplify891.0ms

Counts
64 → 64
Iterations

Useful iterations: 2 (67.0ms)

IterNodesCost
0901058
11661023
2439951
31585951
done5000951

prune227.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 9.6b

localize13.0ms

Local error

Found 4 expressions with local error:

0.4b
(/ 1 (+ (fma (/ y t) b a) 1.0))
1.9b
(fma (/ y t) b a)
2.7b
(fma (/ y t) z x)
9.6b
(* (fma (/ y t) z x) (/ 1 (+ (fma (/ y t) b a) 1.0)))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
37×*-un-lft-identity
29×add-sqr-sqrt
26×times-frac
22×add-cube-cbrt
18×associate-*r*
17×add-exp-log
11×add-cbrt-cube
7×pow1 distribute-lft-out
4×expm1-log1p-u div-exp prod-exp associate-/r* associate-/r/ log1p-expm1-u add-log-exp
3×associate-*l* associate-/l* unswap-sqr
2×cbrt-undiv rec-exp flip3-+ 1-exp cbrt-unprod flip-+ fma-udef div-inv
1×pow-flip frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv *-commutative inv-pow
Counts
4 → 102
Calls
4 calls:
14.0ms
(/ 1 (+ (fma (/ y t) b a) 1.0))
0.0ms
(fma (/ y t) b a)
0.0ms
(fma (/ y t) z x)
28.0ms
(* (fma (/ y t) z x) (/ 1 (+ (fma (/ y t) b a) 1.0)))

series692.0ms

Counts
4 → 12
Calls
4 calls:
131.0ms
(/ 1 (+ (fma (/ y t) b a) 1.0))
51.0ms
(fma (/ y t) b a)
45.0ms
(fma (/ y t) z x)
465.0ms
(* (fma (/ y t) z x) (/ 1 (+ (fma (/ y t) b a) 1.0)))

simplify1.9s

Counts
114 → 114
Iterations

Useful iterations: 2 (120.0ms)

IterNodesCost
01291750
12681556
27471398
329281398
done50001398

prune315.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 9.6b

localize13.0ms

Local error

Found 4 expressions with local error:

0.7b
(/ 1 (/ (+ (fma (/ y t) b a) 1.0) (fma (/ y t) z x)))
1.9b
(fma (/ y t) b a)
2.7b
(fma (/ y t) z x)
9.7b
(/ (+ (fma (/ y t) b a) 1.0) (fma (/ y t) z x))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
108×times-frac
94×*-un-lft-identity
62×add-sqr-sqrt add-cube-cbrt
19×associate-/r*
17×add-exp-log
16×distribute-lft-out
11×add-cbrt-cube
8×div-exp
7×associate-/l*
6×div-inv
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 associate-/l/
1×pow-flip flip3-+ associate-/r/ flip-+ inv-pow
Counts
4 → 145
Calls
4 calls:
16.0ms
(/ 1 (/ (+ (fma (/ y t) b a) 1.0) (fma (/ y t) z x)))
0.0ms
(fma (/ y t) b a)
0.0ms
(fma (/ y t) z x)
21.0ms
(/ (+ (fma (/ y t) b a) 1.0) (fma (/ y t) z x))

series811.0ms

Counts
4 → 12
Calls
4 calls:
461.0ms
(/ 1 (/ (+ (fma (/ y t) b a) 1.0) (fma (/ y t) z x)))
47.0ms
(fma (/ y t) b a)
50.0ms
(fma (/ y t) z x)
252.0ms
(/ (+ (fma (/ y t) b a) 1.0) (fma (/ y t) z x))

simplify1.7s

Counts
157 → 157
Iterations

Useful iterations: 3 (823.0ms)

IterNodesCost
01863710
13803416
29343121
336343092
done50013092

prune371.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 9.6b

localize17.0ms

Local error

Found 4 expressions with local error:

0.4b
(/ 1 (+ (fma (/ y t) b a) 1.0))
1.9b
(fma (/ y t) b a)
2.7b
(fma (/ y t) z x)
9.6b
(/ (/ 1 (+ (fma (/ y t) b a) 1.0)) (/ 1 (fma (/ y t) z x)))

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
585×times-frac
350×*-un-lft-identity
258×add-sqr-sqrt add-cube-cbrt
48×add-exp-log
46×distribute-lft-out
35×div-inv
34×div-exp
31×associate-/r/
21×associate-/l*
18×add-cbrt-cube
17×associate-/r*
15×flip3-+ flip-+
9×cbrt-undiv rec-exp 1-exp
5×pow1
4×expm1-log1p-u log1p-expm1-u add-log-exp
2×frac-2neg clear-num fma-udef
1×pow-flip associate-/l/ inv-pow
Counts
4 → 358
Calls
4 calls:
12.0ms
(/ 1 (+ (fma (/ y t) b a) 1.0))
0.0ms
(fma (/ y t) b a)
0.0ms
(fma (/ y t) z x)
30.0ms
(/ (/ 1 (+ (fma (/ y t) b a) 1.0)) (/ 1 (fma (/ y t) z x)))

series717.0ms

Counts
4 → 12
Calls
4 calls:
136.0ms
(/ 1 (+ (fma (/ y t) b a) 1.0))
54.0ms
(fma (/ y t) b a)
47.0ms
(fma (/ y t) z x)
480.0ms
(/ (/ 1 (+ (fma (/ y t) b a) 1.0)) (/ 1 (fma (/ y t) z x)))

simplify1.5s

Counts
370 → 370
Iterations

Useful iterations: done (1.5s)

IterNodesCost
047612701
1130110660
224049874
done50009772

prune510.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 9.6b

regimes444.0ms

Accuracy

54.9% (1.3b remaining)

Error of 12.8b against oracle of 11.5b and baseline of 14.4b

bsearch127.0ms

Steps
ItersRangePoint
9
6.854932338340262e-44
1.0765940818455114e-38
1.2179192080200545e-40
11
-1.3745957543301417e+35
-414955164346800.75
-6.886886549445264e+22

simplify4.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
02859
14043
done4043

end0.0ms

sample717.0ms

Algorithm
intervals
Results
328.0ms8290×body80valid