Details

Time bar (total: 22.3s)

sample39.0ms

Algorithm
intervals
Results
16.0ms261×body80valid

simplify60.0ms

Counts
1 → 1
Iterations

Useful iterations: 3 (28.0ms)

IterNodesCost
01517
12617
23817
35015
46015
56415
done6415

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 12.7b

localize22.0ms

Local error

Found 3 expressions with local error:

1.5b
(fma (/ y t) b a)
3.5b
(fma (/ y t) z x)
12.4b
(/ (fma (/ y t) z x) (+ (fma (/ y t) b a) 1.0))

rewrite21.0ms

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))

series715.0ms

Counts
3 → 9
Calls
3 calls:
57.0ms
(fma (/ y t) b a)
77.0ms
(fma (/ y t) z x)
581.0ms
(/ (fma (/ y t) z x) (+ (fma (/ y t) b a) 1.0))

simplify1.2s

Counts
64 → 64
Iterations

Useful iterations: 2 (82.0ms)

IterNodesCost
0901058
11661023
2439951
31585951
done5000951

prune283.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 12.1b

localize22.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ 1 (+ (fma (/ y t) b a) 1.0))
1.5b
(fma (/ y t) b a)
3.5b
(fma (/ y t) z x)
12.2b
(* (fma (/ y t) z x) (/ 1 (+ (fma (/ y t) b a) 1.0)))

rewrite51.0ms

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)
33.0ms
(* (fma (/ y t) z x) (/ 1 (+ (fma (/ y t) b a) 1.0)))

series1.1s

Counts
4 → 12
Calls
4 calls:
190.0ms
(/ 1 (+ (fma (/ y t) b a) 1.0))
51.0ms
(fma (/ y t) b a)
81.0ms
(fma (/ y t) z x)
748.0ms
(* (fma (/ y t) z x) (/ 1 (+ (fma (/ y t) b a) 1.0)))

simplify2.7s

Counts
114 → 114
Iterations

Useful iterations: 2 (158.0ms)

IterNodesCost
01291750
12681556
27471398
329281398
done50001398

prune488.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 12.1b

localize22.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ 1 (/ (+ (fma (/ y t) b a) 1.0) (fma (/ y t) z x)))
1.5b
(fma (/ y t) b a)
3.5b
(fma (/ y t) z x)
12.4b
(/ (+ (fma (/ y t) b a) 1.0) (fma (/ y t) z x))

rewrite71.0ms

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:
21.0ms
(/ 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)
38.0ms
(/ (+ (fma (/ y t) b a) 1.0) (fma (/ y t) z x))

series1.2s

Counts
4 → 12
Calls
4 calls:
708.0ms
(/ 1 (/ (+ (fma (/ y t) b a) 1.0) (fma (/ y t) z x)))
72.0ms
(fma (/ y t) b a)
53.0ms
(fma (/ y t) z x)
411.0ms
(/ (+ (fma (/ y t) b a) 1.0) (fma (/ y t) z x))

simplify2.5s

Counts
157 → 157
Iterations

Useful iterations: 3 (1.3s)

IterNodesCost
01863710
13803416
29343121
336343092
done50013092

prune475.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 12.1b

localize38.0ms

Local error

Found 4 expressions with local error:

9.5b
(/ (fma (/ y t) z x) (* (cbrt (+ (fma (/ y t) b a) 1.0)) (cbrt (+ (fma (/ y t) b a) 1.0))))
11.7b
(cbrt (+ (fma (/ y t) b a) 1.0))
11.7b
(cbrt (+ (fma (/ y t) b a) 1.0))
11.7b
(cbrt (+ (fma (/ y t) b a) 1.0))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-div
15×*-un-lft-identity
12×cbrt-prod
9×add-exp-log add-sqr-sqrt add-cube-cbrt flip3-+ flip-+
8×associate-/r/
7×add-cbrt-cube
4×pow1 expm1-log1p-u frac-times log1p-expm1-u add-log-exp
3×times-frac pow1/3 distribute-lft-out associate-/l*
2×cbrt-undiv associate-*r/ div-exp associate-*l/
1×frac-2neg prod-exp clear-num associate-/r* cbrt-unprod div-inv
Counts
4 → 79
Calls
4 calls:
29.0ms
(/ (fma (/ y t) z x) (* (cbrt (+ (fma (/ y t) b a) 1.0)) (cbrt (+ (fma (/ y t) b a) 1.0))))
5.0ms
(cbrt (+ (fma (/ y t) b a) 1.0))
6.0ms
(cbrt (+ (fma (/ y t) b a) 1.0))
9.0ms
(cbrt (+ (fma (/ y t) b a) 1.0))

series6.1s

Counts
4 → 12
Calls
4 calls:
4.5s
(/ (fma (/ y t) z x) (* (cbrt (+ (fma (/ y t) b a) 1.0)) (cbrt (+ (fma (/ y t) b a) 1.0))))
371.0ms
(cbrt (+ (fma (/ y t) b a) 1.0))
858.0ms
(cbrt (+ (fma (/ y t) b a) 1.0))
379.0ms
(cbrt (+ (fma (/ y t) b a) 1.0))

simplify2.0s

Counts
91 → 91
Iterations

Useful iterations: done (2.0s)

IterNodesCost
01612164
13662082
29601890
331461808
done50001781

prune659.0ms

Pruning

12 alts after pruning (8 fresh and 4 done)

Merged error: 11.9b

regimes746.0ms

Accuracy

52.8% (1.4b remaining)

Error of 12.9b against oracle of 11.5b and baseline of 14.4b

bsearch149.0ms

Steps
ItersRangePoint
5
2.519425293309442e-77
7.199107003549781e-77
2.7330830182794247e-77
7
-9.497075983896804e-05
-5.324643129979313e-06
-5.5686025887905015e-05

simplify4.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
02655
13541
done3541

end0.0ms

sample1.6s

Algorithm
intervals
Results
970.0ms8284×body80valid