Details

Time bar (total: 20.8s)

sample63.0ms

Algorithm
intervals
Results
30.0ms273×body80valid

simplify58.0ms

Counts
1 → 1
Iterations

Useful iterations: 3 (20.0ms)

IterNodesCost
01517
12617
23817
35115
46115
56515
done6515

prune22.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 11.8b

localize36.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (fma (/ y t) b a) 1.0)
2.2b
(fma (/ y t) b a)
3.3b
(fma (/ y t) z x)
11.4b
(/ (fma (/ y t) z x) (+ (fma (/ y t) b a) 1.0))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
24×*-un-lft-identity
14×add-sqr-sqrt add-cube-cbrt
12×times-frac
6×add-exp-log add-cbrt-cube add-log-exp
5×distribute-lft-out
4×pow1 expm1-log1p-u associate-/r* log1p-expm1-u
3×fma-def fma-udef associate-/l*
2×flip3-+ associate-/r/ flip-+
1×cbrt-undiv +-commutative associate-+l+ frac-2neg div-exp clear-num sum-log div-inv
Counts
4 → 73
Calls
4 calls:
9.0ms
(+ (fma (/ y t) b a) 1.0)
0.0ms
(fma (/ y t) b a)
0.0ms
(fma (/ y t) z x)
18.0ms
(/ (fma (/ y t) z x) (+ (fma (/ y t) b a) 1.0))

series917.0ms

Counts
4 → 12
Calls
4 calls:
60.0ms
(+ (fma (/ y t) b a) 1.0)
71.0ms
(fma (/ y t) b a)
66.0ms
(fma (/ y t) z x)
719.0ms
(/ (fma (/ y t) z x) (+ (fma (/ y t) b a) 1.0))

simplify3.2s

Counts
85 → 85
Iterations

Useful iterations: 3 (1.0s)

IterNodesCost
01021277
11971241
27271149
345661142
done50001142

prune652.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 11.4b

localize35.0ms

Local error

Found 4 expressions with local error:

0.5b
(/ 1 (/ (+ (fma (/ y t) b a) 1.0) (fma (/ y t) z x)))
2.2b
(fma (/ y t) b a)
3.3b
(fma (/ y t) z x)
11.3b
(/ (+ (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:
27.0ms
(/ 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)
33.0ms
(/ (+ (fma (/ y t) b a) 1.0) (fma (/ y t) z x))

series1.2s

Counts
4 → 12
Calls
4 calls:
712.0ms
(/ 1 (/ (+ (fma (/ y t) b a) 1.0) (fma (/ y t) z x)))
72.0ms
(fma (/ y t) b a)
62.0ms
(fma (/ y t) z x)
348.0ms
(/ (+ (fma (/ y t) b a) 1.0) (fma (/ y t) z x))

simplify3.2s

Counts
157 → 157
Iterations

Useful iterations: done (3.1s)

IterNodesCost
01863710
14443419
225443236
done50013097

prune1.1s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 11.4b

localize43.0ms

Local error

Found 4 expressions with local error:

0.4b
(/ 1 (+ (fma (/ y t) b a) 1.0))
2.2b
(fma (/ y t) b a)
3.3b
(fma (/ y t) z x)
11.5b
(/ (/ 1 (+ (fma (/ y t) b a) 1.0)) (/ 1 (fma (/ y t) z x)))

rewrite132.0ms

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:
21.0ms
(/ 1 (+ (fma (/ y t) b a) 1.0))
1.0ms
(fma (/ y t) b a)
1.0ms
(fma (/ y t) z x)
69.0ms
(/ (/ 1 (+ (fma (/ y t) b a) 1.0)) (/ 1 (fma (/ y t) z x)))

series1.0s

Counts
4 → 12
Calls
4 calls:
188.0ms
(/ 1 (+ (fma (/ y t) b a) 1.0))
70.0ms
(fma (/ y t) b a)
66.0ms
(fma (/ y t) z x)
682.0ms
(/ (/ 1 (+ (fma (/ y t) b a) 1.0)) (/ 1 (fma (/ y t) z x)))

simplify1.2s

Counts
370 → 370
Iterations

Useful iterations: done (1.2s)

IterNodesCost
047612701
1163411086
done500110290

prune1.3s

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 11.4b

localize41.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (/ (* y z) t))
3.4b
(/ (* y z) t)
5.3b
(/ (* y b) t)
11.4b
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

rewrite218.0ms

Algorithm
rewrite-expression-head
Rules
59×*-un-lft-identity
26×times-frac
22×distribute-lft-out
20×add-sqr-sqrt add-cube-cbrt
16×add-exp-log add-cbrt-cube
11×associate-/r*
6×associate-/l* add-log-exp
5×cbrt-undiv div-exp
4×pow1 expm1-log1p-u flip3-+ associate-/r/ flip-+ log1p-expm1-u
3×fma-def frac-2neg clear-num div-inv
2×frac-add prod-exp cbrt-unprod associate-/l/
1×+-commutative sum-log
Counts
4 → 112
Calls
4 calls:
21.0ms
(+ x (/ (* y z) t))
20.0ms
(/ (* y z) t)
25.0ms
(/ (* y b) t)
145.0ms
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

series317.0ms

Counts
4 → 12
Calls
4 calls:
71.0ms
(+ x (/ (* y z) t))
32.0ms
(/ (* y z) t)
33.0ms
(/ (* y b) t)
180.0ms
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

simplify1.4s

Counts
124 → 124
Iterations

Useful iterations: done (1.4s)

IterNodesCost
01871879
14941792
222991676
done50001537

prune993.0ms

Pruning

12 alts after pruning (8 fresh and 4 done)

Merged error: 10.7b

regimes1.6s

Accuracy

36.9% (2.2b remaining)

Error of 13.4b against oracle of 11.1b and baseline of 14.7b

bsearch190.0ms

Steps
ItersRangePoint
8
2.623809242582247e-58
1.1671216065586344e-55
7.185180617935416e-56
9
-1.920272904086565e+86
-1.3747038282864838e+81
-2.404193630339112e+81

simplify5.0ms

Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
02655
13541
done3541

end0.0ms

sample1.8s

Algorithm
intervals
Results
1.1s8299×body80valid