Details

Time bar (total: 21.2s)

sample61.0ms

Algorithm
intervals
Results
32.0ms295×body80valid

simplify2.7s

Counts
1 → 1
Iterations

Useful iterations: 3 (103.0ms)

IterNodesCost
03037
16230
213230
337629
4105329
5317429
done500129

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 27.4b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (fma z 3.13060547623 11.1667541262) z t)
0.1b
(fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721)
2.5b
(/ y (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))
26.5b
(fma (/ y (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771)) (fma (fma (fma (fma z 3.13060547623 11.1667541262) z t) z a) z b) x)

rewrite16.0ms

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 (fma z 3.13060547623 11.1667541262) z t)
0.0ms
(fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721)
14.0ms
(/ y (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))
0.0ms
(fma (/ y (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771)) (fma (fma (fma (fma z 3.13060547623 11.1667541262) z t) z a) z b) x)

series1.3s

Counts
4 → 12
Calls
4 calls:
40.0ms
(fma (fma z 3.13060547623 11.1667541262) z t)
53.0ms
(fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721)
175.0ms
(/ y (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))
993.0ms
(fma (/ y (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771)) (fma (fma (fma (fma z 3.13060547623 11.1667541262) z t) z a) z b) x)

simplify1.1s

Counts
71 → 71
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01441442
12721423
26311264
316891254
done50011245

prune559.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.5b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ t (pow z 2)) 3.13060547623)
2.4b
(fma y (+ (/ t (pow z 2)) 3.13060547623) x)
9.5b
(/ t (pow z 2))

rewrite79.0ms

Algorithm
rewrite-expression-head
Rules
48×times-frac
37×*-un-lft-identity
35×add-sqr-sqrt add-cube-cbrt
28×fma-def
21×unpow-prod-down
8×add-exp-log associate-/r*
7×unpow2 sqr-pow
5×add-cbrt-cube add-log-exp
3×pow1 expm1-log1p-u div-exp log1p-expm1-u associate-/l*
2×div-inv
1×cbrt-undiv +-commutative pow-to-exp frac-2neg flip3-+ pow-exp clear-num sum-log flip-+ fma-udef distribute-lft-out
Counts
3 → 103
Calls
3 calls:
64.0ms
(+ (/ t (pow z 2)) 3.13060547623)
0.0ms
(fma y (+ (/ t (pow z 2)) 3.13060547623) x)
8.0ms
(/ t (pow z 2))

series154.0ms

Counts
3 → 9
Calls
3 calls:
44.0ms
(+ (/ t (pow z 2)) 3.13060547623)
75.0ms
(fma y (+ (/ t (pow z 2)) 3.13060547623) x)
34.0ms
(/ t (pow z 2))

simplify1.1s

Counts
112 → 112
Iterations

Useful iterations: 2 (136.0ms)

IterNodesCost
0133915
1255852
2583738
31831738
done5001738

prune483.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.5b

localize48.0ms

Local error

Found 4 expressions with local error:

0.1b
(fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721)
0.4b
(/ 1 (/ (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771) y))
2.4b
(/ (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771) y)
26.5b
(fma (/ 1 (/ (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771) y)) (fma (fma (fma (fma z 3.13060547623 11.1667541262) z t) z a) z b) x)

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
84×times-frac
54×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
17×add-exp-log
16×associate-/r*
11×add-cbrt-cube
8×div-exp
6×div-inv associate-/l*
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
1×pow-flip associate-/r/ inv-pow
Counts
4 → 127
Calls
4 calls:
0.0ms
(fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721)
10.0ms
(/ 1 (/ (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771) y))
6.0ms
(/ (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771) y)
10.0ms
(fma (/ 1 (/ (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771) y)) (fma (fma (fma (fma z 3.13060547623 11.1667541262) z t) z a) z b) x)

series883.0ms

Counts
4 → 12
Calls
4 calls:
53.0ms
(fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721)
150.0ms
(/ 1 (/ (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771) y))
128.0ms
(/ (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771) y)
551.0ms
(fma (/ 1 (/ (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771) y)) (fma (fma (fma (fma z 3.13060547623 11.1667541262) z t) z a) z b) x)

simplify1.9s

Counts
139 → 139
Iterations

Useful iterations: done (1.9s)

IterNodesCost
02403595
14973370
210413012
325092983
done50002979

prune974.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.5b

localize58.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (fma z 3.13060547623 11.1667541262) z t)
0.1b
(fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721)
2.4b
(/ (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771) y)
29.2b
(/ (fma (fma (fma (fma z 3.13060547623 11.1667541262) z t) z a) z b) (/ (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771) y))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
84×times-frac
54×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
16×associate-/r*
11×add-exp-log add-cbrt-cube
6×div-inv associate-/l*
4×pow1 cbrt-undiv expm1-log1p-u div-exp log1p-expm1-u add-log-exp
2×frac-2neg clear-num fma-udef
1×associate-/r/
Counts
4 → 121
Calls
4 calls:
0.0ms
(fma (fma z 3.13060547623 11.1667541262) z t)
0.0ms
(fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721)
5.0ms
(/ (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771) y)
17.0ms
(/ (fma (fma (fma (fma z 3.13060547623 11.1667541262) z t) z a) z b) (/ (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771) y))

series784.0ms

Counts
4 → 12
Calls
4 calls:
61.0ms
(fma (fma z 3.13060547623 11.1667541262) z t)
45.0ms
(fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721)
152.0ms
(/ (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771) y)
525.0ms
(/ (fma (fma (fma (fma z 3.13060547623 11.1667541262) z t) z a) z b) (/ (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771) y))

simplify3.5s

Counts
133 → 133
Iterations

Useful iterations: 3 (1.8s)

IterNodesCost
02434619
15144526
215594245
349974228
done50004228

prune1.2s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.5b

regimes868.0ms

Accuracy

97% (0.8b remaining)

Error of 1.3b against oracle of 0.4b and baseline of 27.9b

bsearch311.0ms

Steps
ItersRangePoint
5
5.294198543636e+57
1.8054266213958356e+58
9.979529776664346e+57
8
-4.892538192923049e+58
-2.1956051254198533e+55
-3.168216123229297e+55

simplify10.0ms

Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
03458
14149
done4149

end0.0ms

sample3.0s

Algorithm
intervals
Results
2.3s8878×body80valid