Details

Time bar (total: 18.3s)

sample52.0ms

Algorithm
intervals
Results
22.0ms260×body80valid

simplify81.0ms

Counts
1 → 1
Iterations

Useful iterations: 3 (15.0ms)

IterNodesCost
01517
12617
23817
35015
46015
56415
done6415

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 13.4b

localize14.0ms

Local error

Found 3 expressions with local error:

2.9b
(fma (/ y t) b a)
3.2b
(fma (/ y t) z x)
13.1b
(/ (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))

series968.0ms

Counts
3 → 9
Calls
3 calls:
96.0ms
(fma (/ y t) b a)
59.0ms
(fma (/ y t) z x)
814.0ms
(/ (fma (/ y t) z x) (+ (fma (/ y t) b a) 1.0))

simplify1.5s

Counts
64 → 64
Iterations

Useful iterations: 2 (132.0ms)

IterNodesCost
0901058
11661023
2439951
31585951
done5000951

prune322.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 12.7b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* (/ y t) z) x)
2.9b
(fma (/ y t) b a)
5.0b
(* (/ y t) z)
13.1b
(/ (+ (* (/ y t) z) x) (+ (fma (/ y t) b a) 1.0))

rewrite121.0ms

Algorithm
rewrite-expression-head
Rules
29×*-un-lft-identity
26×add-sqr-sqrt
22×times-frac
21×add-cube-cbrt
13×associate-*l*
11×add-exp-log add-cbrt-cube
6×pow1 add-log-exp
4×expm1-log1p-u associate-/r* log1p-expm1-u distribute-lft-out
3×flip3-+ associate-*r* flip-+ associate-/l*
2×cbrt-undiv div-exp prod-exp associate-/r/ cbrt-unprod div-inv associate-/l/ unswap-sqr
1×+-commutative fma-def frac-2neg pow-prod-down associate-*l/ clear-num sum-log *-commutative fma-udef
Counts
4 → 95
Calls
4 calls:
20.0ms
(+ (* (/ y t) z) x)
1.0ms
(fma (/ y t) b a)
26.0ms
(* (/ y t) z)
65.0ms
(/ (+ (* (/ y t) z) x) (+ (fma (/ y t) b a) 1.0))

series976.0ms

Counts
4 → 12
Calls
4 calls:
54.0ms
(+ (* (/ y t) z) x)
88.0ms
(fma (/ y t) b a)
36.0ms
(* (/ y t) z)
798.0ms
(/ (+ (* (/ y t) z) x) (+ (fma (/ y t) b a) 1.0))

simplify3.1s

Counts
107 → 107
Iterations

Useful iterations: 3 (1.5s)

IterNodesCost
01651502
13721380
211321286
343491278
done50001278

prune514.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 12.7b

localize42.0ms

Local error

Found 4 expressions with local error:

0.4b
(/ 1 (+ (fma (/ y t) b a) 1.0))
2.9b
(fma (/ y t) b a)
5.0b
(* (/ y t) z)
12.9b
(* (+ (* (/ y t) z) x) (/ 1 (+ (fma (/ y t) b a) 1.0)))

rewrite118.0ms

Algorithm
rewrite-expression-head
Rules
45×*-un-lft-identity
42×add-sqr-sqrt
36×times-frac
30×add-cube-cbrt
22×add-exp-log
21×associate-*r*
16×associate-*l* add-cbrt-cube
9×pow1
7×distribute-lft-out
6×prod-exp
5×div-exp unswap-sqr
4×expm1-log1p-u flip3-+ associate-/r* associate-/r/ cbrt-unprod flip-+ log1p-expm1-u add-log-exp
3×cbrt-undiv associate-*l/ div-inv associate-/l*
2×frac-times rec-exp 1-exp pow-prod-down *-commutative
1×pow-flip frac-2neg associate-*r/ clear-num un-div-inv fma-udef inv-pow
Counts
4 → 130
Calls
4 calls:
19.0ms
(/ 1 (+ (fma (/ y t) b a) 1.0))
1.0ms
(fma (/ y t) b a)
21.0ms
(* (/ y t) z)
72.0ms
(* (+ (* (/ y t) z) x) (/ 1 (+ (fma (/ y t) b a) 1.0)))

series989.0ms

Counts
4 → 12
Calls
4 calls:
166.0ms
(/ 1 (+ (fma (/ y t) b a) 1.0))
87.0ms
(fma (/ y t) b a)
45.0ms
(* (/ y t) z)
690.0ms
(* (+ (* (/ y t) z) x) (/ 1 (+ (fma (/ y t) b a) 1.0)))

simplify1.7s

Counts
142 → 142
Iterations

Useful iterations: done (1.7s)

IterNodesCost
02012090
14801820
215071652
done50001648

prune1.0s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 12.7b

localize30.0ms

Local error

Found 4 expressions with local error:

0.8b
(/ 1 (/ (+ (fma (/ y t) b a) 1.0) (fma (/ y t) z x)))
2.9b
(fma (/ y t) b a)
3.2b
(fma (/ y t) z x)
13.0b
(/ (+ (fma (/ y t) b a) 1.0) (fma (/ y t) z x))

rewrite98.0ms

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:
46.0ms
(/ 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)
38.0ms
(/ (+ (fma (/ y t) b a) 1.0) (fma (/ y t) z x))

series1.1s

Counts
4 → 12
Calls
4 calls:
640.0ms
(/ 1 (/ (+ (fma (/ y t) b a) 1.0) (fma (/ y t) z x)))
54.0ms
(fma (/ y t) b a)
66.0ms
(fma (/ y t) z x)
379.0ms
(/ (+ (fma (/ y t) b a) 1.0) (fma (/ y t) z x))

simplify2.6s

Counts
157 → 157
Iterations

Useful iterations: 3 (1.2s)

IterNodesCost
01863710
13803416
29343121
336343092
done50013092

prune546.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 12.7b

regimes611.0ms

Accuracy

48.2% (1.5b remaining)

Error of 13.3b against oracle of 11.8b and baseline of 14.6b

bsearch156.0ms

Steps
ItersRangePoint
7
3.6768097587958064e+112
1.2168398260579186e+114
5.561447179273978e+112
9
-2.9625493475007595e+22
-12147316583886.191
-12951009003417.23

simplify9.0ms

Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
02857
13942
done3942

end0.0ms

sample1.5s

Algorithm
intervals
Results
894.0ms8272×body80valid