Details

Time bar (total: 16.3s)

sample54.0ms

Algorithm
intervals
Results
20.0ms266×body80valid

simplify71.0ms

Counts
1 → 1
Iterations

Useful iterations: 3 (27.0ms)

IterNodesCost
01517
12617
23817
35015
46015
56415
done6415

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 14.4b

localize12.0ms

Local error

Found 3 expressions with local error:

1.8b
(fma (/ y t) b a)
2.7b
(fma (/ y t) z x)
14.1b
(/ (fma (/ y t) z x) (+ (fma (/ y t) b a) 1.0))

rewrite26.0ms

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:
1.0ms
(fma (/ y t) b a)
1.0ms
(fma (/ y t) z x)
22.0ms
(/ (fma (/ y t) z x) (+ (fma (/ y t) b a) 1.0))

series898.0ms

Counts
3 → 9
Calls
3 calls:
81.0ms
(fma (/ y t) b a)
65.0ms
(fma (/ y t) z x)
751.0ms
(/ (fma (/ y t) z x) (+ (fma (/ y t) b a) 1.0))

simplify1.4s

Counts
64 → 64
Iterations

Useful iterations: 2 (119.0ms)

IterNodesCost
0901058
11661023
2439951
31585951
done5000951

prune313.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 13.3b

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ 1 (+ (fma (/ y t) b a) 1.0))
1.8b
(fma (/ y t) b a)
2.7b
(fma (/ y t) z x)
14.0b
(* (fma (/ y t) z x) (/ 1 (+ (fma (/ y t) b a) 1.0)))

rewrite64.0ms

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:
13.0ms
(/ 1 (+ (fma (/ y t) b a) 1.0))
0.0ms
(fma (/ y t) b a)
0.0ms
(fma (/ y t) z x)
46.0ms
(* (fma (/ y t) z x) (/ 1 (+ (fma (/ y t) b a) 1.0)))

series1.1s

Counts
4 → 12
Calls
4 calls:
214.0ms
(/ 1 (+ (fma (/ y t) b a) 1.0))
77.0ms
(fma (/ y t) b a)
91.0ms
(fma (/ y t) z x)
685.0ms
(* (fma (/ y t) z x) (/ 1 (+ (fma (/ y t) b a) 1.0)))

simplify2.7s

Counts
114 → 114
Iterations

Useful iterations: 2 (174.0ms)

IterNodesCost
01291750
12681556
27471398
329281398
done50001398

prune397.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 13.3b

localize13.0ms

Local error

Found 3 expressions with local error:

1.8b
(fma (/ y t) b a)
2.7b
(fma (/ y t) z x)
14.1b
(/ (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))

series621.0ms

Counts
3 → 9
Calls
3 calls:
65.0ms
(fma (/ y t) b a)
50.0ms
(fma (/ y t) z x)
506.0ms
(/ (fma (/ y t) z x) (+ (fma (/ y t) b a) 1.0))

simplify1.7s

Counts
64 → 64
Iterations

Useful iterations: 2 (114.0ms)

IterNodesCost
0901058
11661023
2439951
31585951
done5000951

prune264.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 13.3b

localize15.0ms

Local error

Found 4 expressions with local error:

0.8b
(/ 1 (/ (+ (fma (/ y t) b a) 1.0) (fma (/ y t) z x)))
1.8b
(fma (/ y t) b a)
2.7b
(fma (/ y t) z x)
14.0b
(/ (+ (fma (/ y t) b a) 1.0) (fma (/ y t) z x))

rewrite50.0ms

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)
26.0ms
(/ (+ (fma (/ y t) b a) 1.0) (fma (/ y t) z x))

series1.1s

Counts
4 → 12
Calls
4 calls:
608.0ms
(/ 1 (/ (+ (fma (/ y t) b a) 1.0) (fma (/ y t) z x)))
70.0ms
(fma (/ y t) b a)
75.0ms
(fma (/ y t) z x)
313.0ms
(/ (+ (fma (/ y t) b a) 1.0) (fma (/ y t) z x))

simplify2.9s

Counts
157 → 157
Iterations

Useful iterations: 3 (1.3s)

IterNodesCost
01863710
13803416
29343121
336343092
done50013092

prune503.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 13.3b

regimes765.0ms

Accuracy

43.6% (1.5b remaining)

Error of 13.5b against oracle of 12.0b and baseline of 14.7b

bsearch155.0ms

Steps
ItersRangePoint
5
4.322073811841672e-122
1.1343932967786033e-121
7.053224262423602e-122
10
-4.391955196719737e-18
-2.893404106319312e-31
-3.352849990458679e-21

simplify11.0ms

Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
02859
14041
done4041

end0.0ms

sample1.2s

Algorithm
intervals
Results
541.0ms8294×body80valid