Details

Time bar (total: 16.3s)

sample76.0ms

Algorithm
intervals
Results
36.0ms282×body80valid

simplify1.4s

Counts
1 → 1
Iterations

Useful iterations: 3 (109.0ms)

IterNodesCost
03037
16230
213230
338629
4130129
done500029

prune32.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 29.9b

localize55.0ms

Local error

Found 4 expressions with local error:

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

rewrite13.0ms

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 15.234687407) z 31.4690115749) z 11.9400905721)
0.0ms
(fma (fma z 3.13060547623 11.1667541262) z t)
10.0ms
(/ y (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))
1.0ms
(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:
52.0ms
(fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721)
58.0ms
(fma (fma z 3.13060547623 11.1667541262) z t)
196.0ms
(/ y (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))
1.1s
(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)

simplify2.6s

Counts
71 → 71
Iterations

Useful iterations: done (2.6s)

IterNodesCost
01441442
12771423
28331273
339051261
done50011252

prune668.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

4.7b
(fma y (+ 3.13060547623 (/ t (pow z 2))) x)
10.9b
(/ t (pow z 2))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
24×times-frac
19×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
12×unpow-prod-down
8×associate-/r*
7×add-exp-log
4×add-cbrt-cube unpow2 sqr-pow
3×div-exp associate-/l*
2×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
1×cbrt-undiv pow-to-exp frac-2neg pow-exp clear-num fma-udef div-inv
Counts
2 → 61
Calls
2 calls:
1.0ms
(fma y (+ 3.13060547623 (/ t (pow z 2))) x)
15.0ms
(/ t (pow z 2))

series115.0ms

Counts
2 → 6
Calls
2 calls:
73.0ms
(fma y (+ 3.13060547623 (/ t (pow z 2))) x)
42.0ms
(/ t (pow z 2))

simplify664.0ms

Counts
67 → 67
Iterations

Useful iterations: done (661.0ms)

IterNodesCost
0111726
1201677
2757577
done5000575

prune279.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 2 expressions with local error:

0.2b
(* (/ 1 z) (/ t z))
4.7b
(fma y (+ 3.13060547623 (* (/ 1 z) (/ t z))) x)

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
33×add-sqr-sqrt
25×times-frac
24×add-exp-log
18×*-un-lft-identity
16×add-cube-cbrt
14×add-cbrt-cube
13×associate-*r* associate-*l*
8×div-exp prod-exp
6×unswap-sqr
4×pow1 cbrt-undiv cbrt-unprod
2×expm1-log1p-u rec-exp 1-exp log1p-expm1-u div-inv add-log-exp
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative fma-udef
Counts
2 → 68
Calls
2 calls:
27.0ms
(* (/ 1 z) (/ t z))
1.0ms
(fma y (+ 3.13060547623 (* (/ 1 z) (/ t z))) x)

series102.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(* (/ 1 z) (/ t z))
72.0ms
(fma y (+ 3.13060547623 (* (/ 1 z) (/ t z))) x)

simplify1.8s

Counts
74 → 74
Iterations

Useful iterations: done (1.8s)

IterNodesCost
0132855
1387811
22432608
done5001601

prune312.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721)
0.1b
(fma (fma z 3.13060547623 11.1667541262) z t)
2.6b
(* y (/ 1 (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771)))
29.2b
(fma (* y (/ 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) x)

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
13×add-exp-log *-un-lft-identity associate-*r*
12×add-cube-cbrt
11×times-frac
9×add-cbrt-cube
6×pow1
4×expm1-log1p-u prod-exp log1p-expm1-u add-log-exp
3×associate-*l* fma-udef unswap-sqr
2×div-exp cbrt-unprod
1×cbrt-undiv rec-exp 1-exp associate-*r/ pow-prod-down un-div-inv *-commutative div-inv
Counts
4 → 68
Calls
4 calls:
0.0ms
(fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721)
0.0ms
(fma (fma z 3.13060547623 11.1667541262) z t)
26.0ms
(* y (/ 1 (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771)))
1.0ms
(fma (* y (/ 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) x)

series1.3s

Counts
4 → 12
Calls
4 calls:
55.0ms
(fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721)
46.0ms
(fma (fma z 3.13060547623 11.1667541262) z t)
156.0ms
(* y (/ 1 (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771)))
1.1s
(fma (* y (/ 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) x)

simplify902.0ms

Counts
80 → 80
Iterations

Useful iterations: done (898.0ms)

IterNodesCost
01661585
13761527
212781266
done50001254

prune551.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes966.0ms

Accuracy

97.2% (0.7b remaining)

Error of 1.0b against oracle of 0.3b and baseline of 26.2b

bsearch442.0ms

Steps
ItersRangePoint
7
1.843000863143251e+36
1.234549910131943e+38
7.90710684150038e+37
10
-3.6430496478640726e+56
-1.0117771743707516e+45
-1.6045199490888672e+47

simplify7.0ms

Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
03563
14452
done4452

end0.0ms

sample2.4s

Algorithm
intervals
Results
1.8s8871×body80valid