Details

Time bar (total: 18.3s)

sample57.0ms

Algorithm
intervals
Results
26.0ms267×body80valid

simplify53.0ms

Counts
1 → 1
Iterations

Useful iterations: 3 (14.0ms)

IterNodesCost
01517
12617
23817
35115
46115
56515
done6515

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 12.2b

localize14.0ms

Local error

Found 3 expressions with local error:

1.2b
(fma (/ y t) b a)
4.2b
(fma (/ y t) z x)
11.9b
(/ (fma (/ y t) z x) (+ (fma (/ y t) b a) 1.0))

rewrite15.0ms

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)
13.0ms
(/ (fma (/ y t) z x) (+ (fma (/ y t) b a) 1.0))

series806.0ms

Counts
3 → 9
Calls
3 calls:
84.0ms
(fma (/ y t) b a)
96.0ms
(fma (/ y t) z x)
626.0ms
(/ (fma (/ y t) z x) (+ (fma (/ y t) b a) 1.0))

simplify2.4s

Counts
64 → 64
Iterations

Useful iterations: 3 (719.0ms)

IterNodesCost
0901058
11681026
2586953
33495951
done5000951

prune319.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 11.8b

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ 1 (+ (fma (/ y t) b a) 1.0))
1.2b
(fma (/ y t) b a)
4.2b
(fma (/ y t) z x)
11.7b
(* (fma (/ y t) z x) (/ 1 (+ (fma (/ y t) b a) 1.0)))

rewrite60.0ms

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:
20.0ms
(/ 1 (+ (fma (/ y t) b a) 1.0))
0.0ms
(fma (/ y t) b a)
0.0ms
(fma (/ y t) z x)
32.0ms
(* (fma (/ y t) z x) (/ 1 (+ (fma (/ y t) b a) 1.0)))

series949.0ms

Counts
4 → 12
Calls
4 calls:
171.0ms
(/ 1 (+ (fma (/ y t) b a) 1.0))
58.0ms
(fma (/ y t) b a)
58.0ms
(fma (/ y t) z x)
661.0ms
(* (fma (/ y t) z x) (/ 1 (+ (fma (/ y t) b a) 1.0)))

simplify3.4s

Counts
114 → 114
Iterations

Useful iterations: done (3.4s)

IterNodesCost
01291750
12861559
222681404
done50001400

prune538.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 11.8b

localize28.0ms

Local error

Found 4 expressions with local error:

0.6b
(/ 1 (/ (+ (fma (/ y t) b a) 1.0) (fma (/ y t) z x)))
1.2b
(fma (/ y t) b a)
4.2b
(fma (/ y t) z x)
11.8b
(/ (+ (fma (/ y t) b a) 1.0) (fma (/ y t) z x))

rewrite70.0ms

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:
25.0ms
(/ 1 (/ (+ (fma (/ y t) b a) 1.0) (fma (/ y t) z x)))
1.0ms
(fma (/ y t) b a)
1.0ms
(fma (/ y t) z x)
37.0ms
(/ (+ (fma (/ y t) b a) 1.0) (fma (/ y t) z x))

series1.2s

Counts
4 → 12
Calls
4 calls:
659.0ms
(/ 1 (/ (+ (fma (/ y t) b a) 1.0) (fma (/ y t) z x)))
67.0ms
(fma (/ y t) b a)
63.0ms
(fma (/ y t) z x)
361.0ms
(/ (+ (fma (/ y t) b a) 1.0) (fma (/ y t) z x))

simplify2.2s

Counts
157 → 157
Iterations

Useful iterations: done (2.2s)

IterNodesCost
01863710
14443419
225443236
done50013097

prune600.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 11.8b

localize27.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ 1 (+ (fma (/ y t) b a) 1.0))
1.2b
(fma (/ y t) b a)
4.2b
(fma (/ y t) z x)
11.7b
(/ (/ 1 (+ (fma (/ y t) b a) 1.0)) (/ 1 (fma (/ y t) z x)))

rewrite121.0ms

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:
16.0ms
(/ 1 (+ (fma (/ y t) b a) 1.0))
1.0ms
(fma (/ y t) b a)
1.0ms
(fma (/ y t) z x)
57.0ms
(/ (/ 1 (+ (fma (/ y t) b a) 1.0)) (/ 1 (fma (/ y t) z x)))

series876.0ms

Counts
4 → 12
Calls
4 calls:
151.0ms
(/ 1 (+ (fma (/ y t) b a) 1.0))
51.0ms
(fma (/ y t) b a)
55.0ms
(fma (/ y t) z x)
618.0ms
(/ (/ 1 (+ (fma (/ y t) b a) 1.0)) (/ 1 (fma (/ y t) z x)))

simplify1.1s

Counts
370 → 370
Iterations

Useful iterations: done (1.0s)

IterNodesCost
047612701
1163411086
done500110290

prune703.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 11.8b

regimes683.0ms

Accuracy

55.4% (1.3b remaining)

Error of 13.0b against oracle of 11.8b and baseline of 14.6b

bsearch212.0ms

Steps
ItersRangePoint
9
9.583765689332696e-69
2.3728196451859003e-59
1.7882390290209218e-59
9
-2.7622561200935657e+33
-1.7659799251733912e+26
-6.397452863800929e+26

simplify10.0ms

Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
02959
14141
24241
done4241

end0.0ms

sample1.9s

Algorithm
intervals
Results
1.2s8256×body80valid