Details

Time bar (total: 16.8s)

sample61.0ms

Algorithm
intervals
Results
28.0ms265×body80valid

simplify76.0ms

Counts
1 → 1
Iterations

Useful iterations: 3 (26.0ms)

IterNodesCost
01517
12617
23817
35015
46015
56415
done6415

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 10.7b

localize18.0ms

Local error

Found 3 expressions with local error:

3.2b
(fma (/ y t) b a)
4.0b
(fma (/ y t) z x)
10.5b
(/ (fma (/ y t) z x) (+ (fma (/ y t) b a) 1.0))

rewrite14.0ms

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)
12.0ms
(/ (fma (/ y t) z x) (+ (fma (/ y t) b a) 1.0))

series610.0ms

Counts
3 → 9
Calls
3 calls:
55.0ms
(fma (/ y t) b a)
45.0ms
(fma (/ y t) z x)
509.0ms
(/ (fma (/ y t) z x) (+ (fma (/ y t) b a) 1.0))

simplify1.1s

Counts
64 → 64
Iterations

Useful iterations: 2 (69.0ms)

IterNodesCost
0901058
11661023
2439951
31585951
done5000951

prune267.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 10.3b

localize19.0ms

Local error

Found 4 expressions with local error:

0.4b
(/ 1 (+ (fma (/ y t) b a) 1.0))
3.2b
(fma (/ y t) b a)
4.0b
(fma (/ y t) z x)
10.4b
(* (fma (/ y t) z x) (/ 1 (+ (fma (/ y t) b a) 1.0)))

rewrite63.0ms

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:
16.0ms
(/ 1 (+ (fma (/ y t) b a) 1.0))
1.0ms
(fma (/ y t) b a)
1.0ms
(fma (/ y t) z x)
42.0ms
(* (fma (/ y t) z x) (/ 1 (+ (fma (/ y t) b a) 1.0)))

series859.0ms

Counts
4 → 12
Calls
4 calls:
158.0ms
(/ 1 (+ (fma (/ y t) b a) 1.0))
49.0ms
(fma (/ y t) b a)
57.0ms
(fma (/ y t) z x)
594.0ms
(* (fma (/ y t) z x) (/ 1 (+ (fma (/ y t) b a) 1.0)))

simplify2.5s

Counts
114 → 114
Iterations

Useful iterations: 2 (173.0ms)

IterNodesCost
01291750
12681556
27471398
329281398
done50001398

prune418.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 10.3b

localize27.0ms

Local error

Found 4 expressions with local error:

0.4b
(/ 1 (/ (+ (fma (/ y t) b a) 1.0) (fma (/ y t) z x)))
3.2b
(fma (/ y t) b a)
4.0b
(fma (/ y t) z x)
10.5b
(/ (+ (fma (/ y t) b a) 1.0) (fma (/ y t) z x))

rewrite65.0ms

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:
18.0ms
(/ 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)
36.0ms
(/ (+ (fma (/ y t) b a) 1.0) (fma (/ y t) z x))

series1.0s

Counts
4 → 12
Calls
4 calls:
571.0ms
(/ 1 (/ (+ (fma (/ y t) b a) 1.0) (fma (/ y t) z x)))
74.0ms
(fma (/ y t) b a)
72.0ms
(fma (/ y t) z x)
315.0ms
(/ (+ (fma (/ y t) b a) 1.0) (fma (/ y t) z x))

simplify2.4s

Counts
157 → 157
Iterations

Useful iterations: 3 (1.1s)

IterNodesCost
01863710
13803416
29343121
336343092
done50013092

prune553.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 10.3b

localize23.0ms

Local error

Found 4 expressions with local error:

4.6b
(cbrt (/ (fma (/ y t) z x) (+ (fma (/ y t) b a) 1.0)))
10.5b
(/ (fma (/ y t) z x) (+ (fma (/ y t) b a) 1.0))
10.5b
(/ (fma (/ y t) z x) (+ (fma (/ y t) b a) 1.0))
10.5b
(/ (fma (/ y t) z x) (+ (fma (/ y t) b a) 1.0))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
69×*-un-lft-identity
48×times-frac
39×add-sqr-sqrt add-cube-cbrt
18×cbrt-prod
15×distribute-lft-out
12×associate-/r*
10×add-exp-log add-cbrt-cube
9×associate-/l*
8×associate-/r/
4×pow1 expm1-log1p-u flip3-+ flip-+ log1p-expm1-u div-inv add-log-exp
3×cbrt-undiv frac-2neg div-exp clear-num
1×cbrt-div pow1/3
Counts
4 → 134
Calls
4 calls:
6.0ms
(cbrt (/ (fma (/ y t) z x) (+ (fma (/ y t) b a) 1.0)))
12.0ms
(/ (fma (/ y t) z x) (+ (fma (/ y t) b a) 1.0))
11.0ms
(/ (fma (/ y t) z x) (+ (fma (/ y t) b a) 1.0))
23.0ms
(/ (fma (/ y t) z x) (+ (fma (/ y t) b a) 1.0))

series2.3s

Counts
4 → 12
Calls
4 calls:
578.0ms
(cbrt (/ (fma (/ y t) z x) (+ (fma (/ y t) b a) 1.0)))
623.0ms
(/ (fma (/ y t) z x) (+ (fma (/ y t) b a) 1.0))
594.0ms
(/ (fma (/ y t) z x) (+ (fma (/ y t) b a) 1.0))
538.0ms
(/ (fma (/ y t) z x) (+ (fma (/ y t) b a) 1.0))

simplify1.1s

Counts
146 → 146
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01323393
12463322
25843109
318153091
done50013083

prune728.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 10.3b

regimes542.0ms

Accuracy

-3.6% (3.1b remaining)

Error of 14.7b against oracle of 11.6b and baseline of 14.6b

bsearch102.0ms

Steps
ItersRangePoint
8
1.7363984909850848e+159
1.9034926037327424e+163
4.58856497749852e+159
7
-1.9408587555071196e-141
-1.9883461805222869e-143
-3.198654496605673e-142

simplify4.0ms

Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
02859
14043
done4043

end0.0ms

sample1.8s

Algorithm
intervals
Results
1.2s8274×body80valid