Details

Time bar (total: 20.4s)

sample70.0ms

Algorithm
intervals
Results
31.0ms263×body80valid

simplify75.0ms

Counts
1 → 1
Iterations

Useful iterations: 3 (23.0ms)

IterNodesCost
01517
12617
23817
35115
46115
56515
done6515

prune26.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 12.3b

localize16.0ms

Local error

Found 3 expressions with local error:

1.9b
(fma (/ y t) z x)
2.0b
(fma (/ y t) b a)
11.9b
(/ (fma (/ y t) z x) (+ (fma (/ y t) b a) 1.0))

rewrite25.0ms

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) z x)
1.0ms
(fma (/ y t) b a)
20.0ms
(/ (fma (/ y t) z x) (+ (fma (/ y t) b a) 1.0))

series777.0ms

Counts
3 → 9
Calls
3 calls:
66.0ms
(fma (/ y t) z x)
77.0ms
(fma (/ y t) b a)
634.0ms
(/ (fma (/ y t) z x) (+ (fma (/ y t) b a) 1.0))

simplify2.1s

Counts
64 → 64
Iterations

Useful iterations: 3 (531.0ms)

IterNodesCost
0901058
11691026
2597953
33647951
done5000951

prune547.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 11.9b

localize37.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ 1 (+ (fma (/ y t) b a) 1.0))
1.9b
(fma (/ y t) z x)
2.0b
(fma (/ y t) b a)
12.0b
(* (fma (/ y t) z x) (/ 1 (+ (fma (/ y t) b a) 1.0)))

rewrite81.0ms

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:
21.0ms
(/ 1 (+ (fma (/ y t) b a) 1.0))
0.0ms
(fma (/ y t) z x)
0.0ms
(fma (/ y t) b a)
55.0ms
(* (fma (/ y t) z x) (/ 1 (+ (fma (/ y t) b a) 1.0)))

series933.0ms

Counts
4 → 12
Calls
4 calls:
160.0ms
(/ 1 (+ (fma (/ y t) b a) 1.0))
56.0ms
(fma (/ y t) z x)
74.0ms
(fma (/ y t) b a)
643.0ms
(* (fma (/ y t) z x) (/ 1 (+ (fma (/ y t) b a) 1.0)))

simplify3.5s

Counts
114 → 114
Iterations

Useful iterations: done (3.5s)

IterNodesCost
01291750
12841559
222151404
done50011402

prune711.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 11.9b

localize20.0ms

Local error

Found 4 expressions with local error:

0.4b
(/ 1 (/ (+ (fma (/ y t) b a) 1.0) (fma (/ y t) z x)))
1.9b
(fma (/ y t) z x)
2.0b
(fma (/ y t) b a)
11.9b
(/ (+ (fma (/ y t) b a) 1.0) (fma (/ y t) z x))

rewrite74.0ms

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:
44.0ms
(/ 1 (/ (+ (fma (/ y t) b a) 1.0) (fma (/ y t) z x)))
0.0ms
(fma (/ y t) z x)
0.0ms
(fma (/ y t) b a)
21.0ms
(/ (+ (fma (/ y t) b a) 1.0) (fma (/ y t) z x))

series1.1s

Counts
4 → 12
Calls
4 calls:
623.0ms
(/ 1 (/ (+ (fma (/ y t) b a) 1.0) (fma (/ y t) z x)))
71.0ms
(fma (/ y t) z x)
72.0ms
(fma (/ y t) b a)
292.0ms
(/ (+ (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
225403236
done50013097

prune823.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 11.9b

localize37.0ms

Local error

Found 4 expressions with local error:

0.4b
(/ 1 (/ (+ (fma (/ y t) b a) 1.0) (+ (/ z (/ t y)) x)))
2.0b
(fma (/ y t) b a)
3.3b
(/ z (/ t y))
11.9b
(/ (+ (fma (/ y t) b a) 1.0) (+ (/ z (/ t y)) x))

rewrite315.0ms

Algorithm
rewrite-expression-head
Rules
221×times-frac
199×*-un-lft-identity
115×add-sqr-sqrt add-cube-cbrt
42×distribute-lft-out
39×associate-/r*
22×add-exp-log
16×add-cbrt-cube
12×associate-/r/
11×div-exp div-inv
10×associate-/l*
7×cbrt-undiv
6×flip3-+ flip-+
5×pow1
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×frac-2neg clear-num
2×rec-exp 1-exp associate-/l/
1×pow-flip fma-udef inv-pow
Counts
4 → 238
Calls
4 calls:
137.0ms
(/ 1 (/ (+ (fma (/ y t) b a) 1.0) (+ (/ z (/ t y)) x)))
1.0ms
(fma (/ y t) b a)
17.0ms
(/ z (/ t y))
135.0ms
(/ (+ (fma (/ y t) b a) 1.0) (+ (/ z (/ t y)) x))

series1.2s

Counts
4 → 12
Calls
4 calls:
652.0ms
(/ 1 (/ (+ (fma (/ y t) b a) 1.0) (+ (/ z (/ t y)) x)))
88.0ms
(fma (/ y t) b a)
27.0ms
(/ z (/ t y))
421.0ms
(/ (+ (fma (/ y t) b a) 1.0) (+ (/ z (/ t y)) x))

simplify1.9s

Counts
250 → 250
Iterations

Useful iterations: done (1.9s)

IterNodesCost
03495582
18825124
240874603
done50004599

prune1.4s

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 11.9b

regimes1.1s

Accuracy

0% (2.8b remaining)

Error of 14.8b against oracle of 12.0b and baseline of 14.8b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01215
11315
done1315

end0.0ms

sample1.3s

Algorithm
intervals
Results
730.0ms8279×body80valid