Details

Time bar (total: 1.2m)

sample173.0ms

Algorithm
intervals
Results
73.0ms272×body80valid

simplify7.1s

Counts
1 → 1
Iterations
IterNodes
done5002
53127
41159
3380
2130
162
030

prune41.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 30.2b

localize99.0ms

Local error

Found 4 expressions with local error:

0.1b
(fma z (fma (fma z 3.13060547623 11.1667541262) z t) a)
0.1b
(fma (fma z (+ z 15.234687407) 31.4690115749) z 11.9400905721)
2.4b
(/ y (fma (fma (fma z (+ z 15.234687407) 31.4690115749) z 11.9400905721) z 0.607771387771))
29.4b
(fma (fma z (fma z (fma (fma z 3.13060547623 11.1667541262) z t) a) b) (/ y (fma (fma (fma z (+ z 15.234687407) 31.4690115749) z 11.9400905721) z 0.607771387771)) x)

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
6×add-exp-log add-cbrt-cube
4×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
3×associate-/r* fma-udef associate-/l*
1×cbrt-undiv frac-2neg div-exp clear-num div-inv
Counts
4 → 59
Calls
4 calls:
0.0ms
(fma z (fma (fma z 3.13060547623 11.1667541262) z t) a)
0.0ms
(fma (fma z (+ z 15.234687407) 31.4690115749) z 11.9400905721)
8.0ms
(/ y (fma (fma (fma z (+ z 15.234687407) 31.4690115749) z 11.9400905721) z 0.607771387771))
1.0ms
(fma (fma z (fma z (fma (fma z 3.13060547623 11.1667541262) z t) a) b) (/ y (fma (fma (fma z (+ z 15.234687407) 31.4690115749) z 11.9400905721) z 0.607771387771)) x)

series1.4s

Counts
4 → 12
Calls
4 calls:
145.0ms
(fma z (fma (fma z 3.13060547623 11.1667541262) z t) a)
72.0ms
(fma (fma z (+ z 15.234687407) 31.4690115749) z 11.9400905721)
291.0ms
(/ y (fma (fma (fma z (+ z 15.234687407) 31.4690115749) z 11.9400905721) z 0.607771387771))
862.0ms
(fma (fma z (fma z (fma (fma z 3.13060547623 11.1667541262) z t) a) b) (/ y (fma (fma (fma z (+ z 15.234687407) 31.4690115749) z 11.9400905721) z 0.607771387771)) x)

simplify3.8s

Counts
71 → 71
Iterations
IterNodes
done5000
32426
2798
1287
0147

prune1.7s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.7b

localize35.0ms

Local error

Found 1 expressions with local error:

1.6b
(fma (/ y z) (/ t z) (fma 3.13060547623 y x))

rewrite2.0ms

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 (/ y z) (/ t z) (fma 3.13060547623 y x))

series328.0ms

Counts
1 → 3
Calls
1 calls:
328.0ms
(fma (/ y z) (/ t z) (fma 3.13060547623 y x))

simplify6.3s

Counts
13 → 13
Iterations
IterNodes
done5009
42864
3430
2102
147
026

prune309.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.7b

localize78.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ 3.13060547623 (/ t (* z z)))
3.3b
(fma y (+ 3.13060547623 (/ t (* z z))) x)
6.1b
(/ t (* z z))

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
8×add-exp-log *-un-lft-identity add-cbrt-cube
6×add-sqr-sqrt add-cube-cbrt
5×add-log-exp
3×pow1 expm1-log1p-u fma-def times-frac log1p-expm1-u associate-/l*
2×cbrt-undiv div-exp
1×+-commutative frac-2neg flip3-+ prod-exp clear-num associate-/r* sum-log cbrt-unprod flip-+ fma-udef div-inv distribute-lft-out
Counts
3 → 50
Calls
3 calls:
31.0ms
(+ 3.13060547623 (/ t (* z z)))
1.0ms
(fma y (+ 3.13060547623 (/ t (* z z))) x)
25.0ms
(/ t (* z z))

series332.0ms

Counts
3 → 9
Calls
3 calls:
66.0ms
(+ 3.13060547623 (/ t (* z z)))
213.0ms
(fma y (+ 3.13060547623 (/ t (* z z))) x)
52.0ms
(/ t (* z z))

simplify6.5s

Counts
59 → 59
Iterations
IterNodes
done5002
32949
2705
1220
088

prune1.6s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.7b

localize79.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ 3.13060547623 (* t (/ 1 (* z z))))
0.6b
(/ 1 (* z z))
3.3b
(fma y (+ 3.13060547623 (* t (/ 1 (* z z)))) x)
6.0b
(* t (/ 1 (* z z)))

rewrite328.0ms

Algorithm
rewrite-expression-head
Rules
34×add-exp-log
18×add-cbrt-cube
15×add-sqr-sqrt
14×pow1
13×prod-exp
11×*-un-lft-identity
10×add-cube-cbrt
8×times-frac div-exp
7×associate-*r*
6×pow-flip add-log-exp
5×cbrt-unprod
4×cbrt-undiv expm1-log1p-u rec-exp 1-exp log1p-expm1-u
3×fma-def associate-*l* associate-/l* unswap-sqr
2×pow-prod-down div-inv
1×+-commutative pow2 frac-2neg flip3-+ pow-plus associate-*r/ clear-num associate-/r* sum-log pow-sqr un-div-inv *-commutative pow-prod-up flip-+ fma-udef inv-pow
Counts
4 → 96
Calls
4 calls:
13.0ms
(+ 3.13060547623 (* t (/ 1 (* z z))))
23.0ms
(/ 1 (* z z))
1.0ms
(fma y (+ 3.13060547623 (* t (/ 1 (* z z)))) x)
285.0ms
(* t (/ 1 (* z z)))

series392.0ms

Counts
4 → 12
Calls
4 calls:
195.0ms
(+ 3.13060547623 (* t (/ 1 (* z z))))
32.0ms
(/ 1 (* z z))
119.0ms
(fma y (+ 3.13060547623 (* t (/ 1 (* z z)))) x)
45.0ms
(* t (/ 1 (* z z)))

simplify10.0s

Counts
108 → 108
Iterations
IterNodes
done5000
34201
21080
1321
0133

prune2.3s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.7b

regimes7.5s

Accuracy

97.2% (0.7b remaining)

Error of 1.1b against oracle of 0.4b and baseline of 26.4b

bsearch2.4s

Steps
ItersRangePoint
2
2.529464671597796e+30
2.84914812869519e+30
2.7270781339616683e+30
9
-4.6223292762783134e+52
-1.6227933172076527e+45
-2.3377247502515676e+47

simplify53.0ms

Iterations
IterNodes
done45
145
039

end9.0ms

sample18.4s

Algorithm
intervals
Results
16.6s8863×body80valid