Details

Time bar (total: 22.6s)

sample71.0ms

Algorithm
intervals
Results
29.0ms295×body80valid

simplify3.0s

Counts
1 → 1
Iterations

Useful iterations: 3 (86.0ms)

IterNodesCost
03037
16230
213230
337629
4105329
5317429
done500129

prune22.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 27.4b

localize49.0ms

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)

series1.4s

Counts
4 → 12
Calls
4 calls:
54.0ms
(fma (fma z 3.13060547623 11.1667541262) z t)
55.0ms
(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))
1.2s
(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)

simplify1.2s

Counts
71 → 71
Iterations

Useful iterations: done (1.2s)

IterNodesCost
01441442
12721423
26311264
316891254
done50011245

prune1.1s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.5b

localize23.0ms

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))

rewrite89.0ms

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:
70.0ms
(+ (/ t (pow z 2)) 3.13060547623)
1.0ms
(fma y (+ (/ t (pow z 2)) 3.13060547623) x)
15.0ms
(/ t (pow z 2))

series154.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(+ (/ t (pow z 2)) 3.13060547623)
85.0ms
(fma y (+ (/ t (pow z 2)) 3.13060547623) x)
33.0ms
(/ t (pow z 2))

simplify1.5s

Counts
112 → 112
Iterations

Useful iterations: 2 (209.0ms)

IterNodesCost
0133915
1255852
2583738
31831738
done5001738

prune522.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.5b

localize45.0ms

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)

rewrite40.0ms

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:
1.0ms
(fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721)
16.0ms
(/ 1 (/ (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771) y))
13.0ms
(/ (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771) y)
0.0ms
(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)

series990.0ms

Counts
4 → 12
Calls
4 calls:
52.0ms
(fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721)
110.0ms
(/ 1 (/ (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771) y))
99.0ms
(/ (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771) y)
728.0ms
(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)

simplify2.0s

Counts
139 → 139
Iterations

Useful iterations: done (2.0s)

IterNodesCost
02403595
14973370
210413012
325092983
done50002979

prune946.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.5b

localize28.0ms

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))

rewrite40.0ms

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:
1.0ms
(fma (fma z 3.13060547623 11.1667541262) z t)
1.0ms
(fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721)
11.0ms
(/ (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771) y)
19.0ms
(/ (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))

series741.0ms

Counts
4 → 12
Calls
4 calls:
52.0ms
(fma (fma z 3.13060547623 11.1667541262) z t)
54.0ms
(fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721)
146.0ms
(/ (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771) y)
488.0ms
(/ (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))

simplify3.3s

Counts
133 → 133
Iterations

Useful iterations: 3 (1.7s)

IterNodesCost
02434619
15144526
215594245
349974228
done50004228

prune1.1s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.5b

regimes993.0ms

Accuracy

97% (0.8b remaining)

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

bsearch362.0ms

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

simplify7.0ms

Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
03458
14149
done4149

end0.0ms

sample2.7s

Algorithm
intervals
Results
2.2s8878×body80valid