Details

Time bar (total: 20.2s)

sample45.0ms

Algorithm
intervals
Results
19.0ms350×body80valid
0.0ms2×body640valid
0.0ms3×body320valid
0.0ms1×body1280valid
0.0ms2×body160valid

simplify3.5s

Counts
1 → 1
Iterations

Useful iterations: 4 (295.0ms)

IterNodesCost
01215
13114
29514
331712
4101611
5255811
done500011

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

0.0b
(fma x (fma 2 (+ y z) t) (* y 5.0))

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
1.0ms
(fma x (fma 2 (+ y z) t) (* y 5.0))

series102.0ms

Counts
1 → 3
Calls
1 calls:
101.0ms
(fma x (fma 2 (+ y z) t) (* y 5.0))

simplify2.9s

Counts
13 → 13
Iterations

Useful iterations: 3 (74.0ms)

IterNodesCost
030197
156191
2135163
3459156
42891156
done5000156

prune64.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (* 2 x) (+ y z))
0.0b
(fma y 5.0 (* (* 2 x) (+ y z)))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube
5×*-un-lft-identity
4×associate-*r*
3×add-sqr-sqrt add-cube-cbrt pow-prod-down prod-exp cbrt-unprod
2×expm1-log1p-u associate-*r/ log1p-expm1-u add-log-exp
1×distribute-rgt-in distribute-lft-in flip3-+ associate-*l* *-commutative flip-+ fma-udef distribute-lft-out
Counts
2 → 35
Calls
2 calls:
33.0ms
(* (* 2 x) (+ y z))
0.0ms
(fma y 5.0 (* (* 2 x) (+ y z)))

series105.0ms

Counts
2 → 6
Calls
2 calls:
44.0ms
(* (* 2 x) (+ y z))
61.0ms
(fma y 5.0 (* (* 2 x) (+ y z)))

simplify1.1s

Counts
41 → 41
Iterations

Useful iterations: done (1.1s)

IterNodesCost
075466
1212437
21355375
done5000372

prune157.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma x (fma 2 (+ y z) t) (* y 5.0))
0.1b
(sqrt (fma x (fma 2 (+ y z) t) (* y 5.0)))
0.1b
(sqrt (fma x (fma 2 (+ y z) t) (* y 5.0)))
0.3b
(* (sqrt (fma x (fma 2 (+ y z) t) (* y 5.0))) (sqrt (fma x (fma 2 (+ y z) t) (* y 5.0))))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
24×sqrt-prod
21×pow1
14×add-cube-cbrt *-un-lft-identity
10×sqrt-pow1 pow1/2
8×swap-sqr
6×add-exp-log associate-*r* associate-*l* add-cbrt-cube
5×pow-prod-up
4×expm1-log1p-u log1p-expm1-u add-log-exp unswap-sqr
3×pow-prod-down pow-sqr
2×rem-sqrt-square
1×pow2 pow-plus sqrt-unprod prod-exp rem-square-sqrt *-commutative cbrt-unprod fma-udef
Counts
4 → 91
Calls
4 calls:
1.0ms
(fma x (fma 2 (+ y z) t) (* y 5.0))
3.0ms
(sqrt (fma x (fma 2 (+ y z) t) (* y 5.0)))
3.0ms
(sqrt (fma x (fma 2 (+ y z) t) (* y 5.0)))
25.0ms
(* (sqrt (fma x (fma 2 (+ y z) t) (* y 5.0))) (sqrt (fma x (fma 2 (+ y z) t) (* y 5.0))))

series1.5s

Counts
4 → 12
Calls
4 calls:
82.0ms
(fma x (fma 2 (+ y z) t) (* y 5.0))
652.0ms
(sqrt (fma x (fma 2 (+ y z) t) (* y 5.0)))
623.0ms
(sqrt (fma x (fma 2 (+ y z) t) (* y 5.0)))
107.0ms
(* (sqrt (fma x (fma 2 (+ y z) t) (* y 5.0))) (sqrt (fma x (fma 2 (+ y z) t) (* y 5.0))))

simplify3.1s

Counts
103 → 103
Iterations

Useful iterations: 3 (1.3s)

IterNodesCost
01082405
12531691
28571521
347931426
done50001426

prune377.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (fma x (fma 2 (+ y z) t) (* 5.0 y)))
0.1b
(sqrt (fma x (fma 2 (+ y z) t) (* y 5.0)))
0.3b
(* (* (sqrt (sqrt (fma x (fma 2 (+ y z) t) (* 5.0 y)))) (sqrt (sqrt (fma x (fma 2 (+ y z) t) (* 5.0 y))))) (sqrt (fma x (fma 2 (+ y z) t) (* y 5.0))))
0.3b
(* (sqrt (sqrt (fma x (fma 2 (+ y z) t) (* 5.0 y)))) (sqrt (sqrt (fma x (fma 2 (+ y z) t) (* 5.0 y)))))

rewrite111.0ms

Algorithm
rewrite-expression-head
Rules
76×sqrt-prod
54×add-sqr-sqrt
37×pow1 sqrt-pow1
21×pow1/2
20×add-cube-cbrt *-un-lft-identity
15×swap-sqr associate-*r*
12×pow-prod-down
11×add-exp-log add-cbrt-cube unswap-sqr
10×associate-*l*
9×pow-prod-up
5×pow-sqr
4×expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u add-log-exp
3×sqrt-unprod
2×rem-sqrt-square *-commutative
1×pow2 pow-plus rem-square-sqrt
Counts
4 → 135
Calls
4 calls:
2.0ms
(sqrt (fma x (fma 2 (+ y z) t) (* 5.0 y)))
2.0ms
(sqrt (fma x (fma 2 (+ y z) t) (* y 5.0)))
70.0ms
(* (* (sqrt (sqrt (fma x (fma 2 (+ y z) t) (* 5.0 y)))) (sqrt (sqrt (fma x (fma 2 (+ y z) t) (* 5.0 y))))) (sqrt (fma x (fma 2 (+ y z) t) (* y 5.0))))
33.0ms
(* (sqrt (sqrt (fma x (fma 2 (+ y z) t) (* 5.0 y)))) (sqrt (sqrt (fma x (fma 2 (+ y z) t) (* 5.0 y)))))

series2.1s

Counts
4 → 12
Calls
4 calls:
680.0ms
(sqrt (fma x (fma 2 (+ y z) t) (* 5.0 y)))
679.0ms
(sqrt (fma x (fma 2 (+ y z) t) (* y 5.0)))
87.0ms
(* (* (sqrt (sqrt (fma x (fma 2 (+ y z) t) (* 5.0 y)))) (sqrt (sqrt (fma x (fma 2 (+ y z) t) (* 5.0 y))))) (sqrt (fma x (fma 2 (+ y z) t) (* y 5.0))))
654.0ms
(* (sqrt (sqrt (fma x (fma 2 (+ y z) t) (* 5.0 y)))) (sqrt (sqrt (fma x (fma 2 (+ y z) t) (* 5.0 y)))))

simplify2.5s

Counts
147 → 147
Iterations

Useful iterations: done (2.5s)

IterNodesCost
01644764
13932615
220252357
done50012275

prune661.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes139.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01011
11211
done1211

end0.0ms

sample1.5s

Algorithm
intervals
Results
857.0ms10766×body80valid
24.0ms90×body1280valid
23.0ms103×body640valid
9.0ms60×body320valid
3.0ms29×body160valid