Details

Time bar (total: 21.6s)

sample82.0ms

Algorithm
intervals
Results
43.0ms275×body80valid

simplify1.3s

Counts
1 → 1
Iterations

Useful iterations: 3 (118.0ms)

IterNodesCost
03037
16230
213230
338629
4130129
done500029

prune28.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 26.9b

localize41.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ (* (+ z 15.234687407) z) 31.4690115749) z)
0.1b
(* (+ (* z 3.13060547623) 11.1667541262) z)
1.0b
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
26.4b
(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

rewrite513.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
15×add-exp-log add-cbrt-cube
12×add-cube-cbrt *-un-lft-identity
10×pow1
9×associate-*r* associate-*l*
5×flip3-+ flip-+
4×expm1-log1p-u associate-*r/ associate-*l/ prod-exp cbrt-unprod log1p-expm1-u add-log-exp
3×times-frac pow-prod-down associate-/r* *-commutative unswap-sqr
2×cbrt-undiv div-exp associate-/r/ associate-/l/
1×distribute-rgt-in frac-2neg distribute-lft-in clear-num div-inv associate-/l*
Counts
4 → 95
Calls
4 calls:
64.0ms
(* (+ (* (+ z 15.234687407) z) 31.4690115749) z)
51.0ms
(* (+ (* z 3.13060547623) 11.1667541262) z)
220.0ms
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
172.0ms
(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

series1.1s

Counts
4 → 12
Calls
4 calls:
66.0ms
(* (+ (* (+ z 15.234687407) z) 31.4690115749) z)
88.0ms
(* (+ (* z 3.13060547623) 11.1667541262) z)
260.0ms
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
665.0ms
(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

simplify2.1s

Counts
107 → 107
Iterations

Useful iterations: done (2.1s)

IterNodesCost
02162563
16312109
231661828
done50001822

prune1.1s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 3.7b

localize44.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721)
0.0b
(fma (fma z 3.13060547623 11.1667541262) z t)
0.1b
(/ 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)))
26.1b
(/ (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))

rewrite34.0ms

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 15.234687407) z 31.4690115749) z 11.9400905721)
0.0ms
(fma (fma z 3.13060547623 11.1667541262) z t)
18.0ms
(/ 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)))
6.0ms
(/ (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))

series1.0s

Counts
4 → 12
Calls
4 calls:
62.0ms
(fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721)
44.0ms
(fma (fma z 3.13060547623 11.1667541262) z t)
634.0ms
(/ 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)))
306.0ms
(/ (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))

simplify1.5s

Counts
133 → 133
Iterations

Useful iterations: done (1.5s)

IterNodesCost
02225013
15084942
221734612
done50014600

prune1.1s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.5b

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 (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)) y)
0.3b
(/ 1 (/ (/ (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)) y))
26.1b
(/ (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))

rewrite93.0ms

Algorithm
rewrite-expression-head
Rules
477×times-frac
238×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
49×associate-/r*
32×add-exp-log
23×div-inv
20×add-cbrt-cube
19×div-exp associate-/l*
10×cbrt-undiv
5×pow1
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×rec-exp frac-2neg 1-exp clear-num
1×pow-flip associate-/r/ fma-udef associate-/l/ inv-pow
Counts
4 → 313
Calls
4 calls:
0.0ms
(fma (fma z 3.13060547623 11.1667541262) z t)
12.0ms
(/ (/ (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)) y)
27.0ms
(/ 1 (/ (/ (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)) y))
25.0ms
(/ (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))

series985.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(fma (fma z 3.13060547623 11.1667541262) z t)
262.0ms
(/ (/ (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)) y)
408.0ms
(/ 1 (/ (/ (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)) y))
276.0ms
(/ (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))

simplify789.0ms

Counts
325 → 325
Iterations

Useful iterations: done (764.0ms)

IterNodesCost
048315868
1135715183
done500114540

prune1.9s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.5b

localize74.0ms

Local error

Found 4 expressions with local error:

0.7b
(cbrt (/ (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771) (fma z (fma (fma (fma z 3.13060547623 11.1667541262) z t) z a) b)))
26.1b
(/ (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))
26.1b
(/ (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))
26.1b
(/ (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771) (fma z (fma (fma (fma z 3.13060547623 11.1667541262) z t) z a) b))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
35×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
13×cbrt-prod
10×add-exp-log add-cbrt-cube
9×associate-/r* associate-/l*
4×pow1 expm1-log1p-u log1p-expm1-u div-inv add-log-exp
3×cbrt-undiv frac-2neg div-exp clear-num
1×cbrt-div pow1/3
Counts
4 → 111
Calls
4 calls:
2.0ms
(cbrt (/ (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771) (fma z (fma (fma (fma z 3.13060547623 11.1667541262) z t) z a) b)))
6.0ms
(/ (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))
7.0ms
(/ (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))
7.0ms
(/ (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771) (fma z (fma (fma (fma z 3.13060547623 11.1667541262) z t) z a) b))

series1.3s

Counts
4 → 12
Calls
4 calls:
410.0ms
(cbrt (/ (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771) (fma z (fma (fma (fma z 3.13060547623 11.1667541262) z t) z a) b)))
193.0ms
(/ (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))
203.0ms
(/ (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))
514.0ms
(/ (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771) (fma z (fma (fma (fma z 3.13060547623 11.1667541262) z t) z a) b))

simplify1.7s

Counts
123 → 123
Iterations

Useful iterations: done (1.7s)

IterNodesCost
01624703
12854659
27334279
335034259
done50004256

prune1.0s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.5b

regimes799.0ms

Accuracy

96.9% (0.8b remaining)

Error of 1.2b against oracle of 0.3b and baseline of 27.4b

bsearch393.0ms

Steps
ItersRangePoint
9
3579286054.9567437
2.4004971456201247e+18
2.0555172333920676e+18
9
-1.1165296239219327e+42
-5.404692662959736e+34
-2.8440954786880927e+41

simplify6.0ms

Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
03972
14956
done4956

end0.0ms

sample2.5s

Algorithm
intervals
Results
1.8s8878×body80valid