Details

Time bar (total: 12.8s)

sample42.0ms

Algorithm
intervals
Results
20.0ms286×body80valid

simplify2.3s

Counts
1 → 1
Iterations

Useful iterations: 3 (35.0ms)

IterNodesCost
03037
16230
213130
329429
476429
5216029
6499729
done500029

prune15.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 30.7b

localize21.0ms

Local error

Found 4 expressions with local error:

0.1b
(fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721)
0.1b
(fma (fma z 3.13060547623 11.1667541262) z t)
2.1b
(/ y (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))
29.9b
(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)

rewrite4.0ms

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)
2.0ms
(/ 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)

series885.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721)
29.0ms
(fma (fma z 3.13060547623 11.1667541262) z t)
111.0ms
(/ y (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))
706.0ms
(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)

simplify1.3s

Counts
71 → 71
Iterations

Useful iterations: 3 (338.0ms)

IterNodesCost
01441442
12751423
28021262
332621252
done50011252

prune415.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.5b

localize8.0ms

Local error

Found 1 expressions with local error:

2.4b
(fma (/ y z) (/ t z) (fma 3.13060547623 y x))

rewrite1.0ms

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:
0.0ms
(fma (/ y z) (/ t z) (fma 3.13060547623 y x))

series52.0ms

Counts
1 → 3
Calls
1 calls:
52.0ms
(fma (/ y z) (/ t z) (fma 3.13060547623 y x))

simplify1.2s

Counts
13 → 13
Iterations

Useful iterations: 4 (203.0ms)

IterNodesCost
026190
147190
2104162
3403162
42246149
done5000149

prune77.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.3b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ 3.13060547623 (/ t (pow z 2)))
3.9b
(fma y (+ 3.13060547623 (/ t (pow z 2))) x)
7.6b
(/ t (pow z 2))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
24×times-frac
23×*-un-lft-identity
21×add-sqr-sqrt add-cube-cbrt
12×unpow-prod-down
8×add-exp-log associate-/r*
5×add-cbrt-cube add-log-exp
4×unpow2 sqr-pow
3×pow1 expm1-log1p-u fma-def div-exp log1p-expm1-u associate-/l*
1×cbrt-undiv +-commutative pow-to-exp frac-2neg flip3-+ pow-exp clear-num sum-log flip-+ fma-udef div-inv distribute-lft-out
Counts
3 → 78
Calls
3 calls:
13.0ms
(+ 3.13060547623 (/ t (pow z 2)))
0.0ms
(fma y (+ 3.13060547623 (/ t (pow z 2))) x)
4.0ms
(/ t (pow z 2))

series105.0ms

Counts
3 → 9
Calls
3 calls:
28.0ms
(+ 3.13060547623 (/ t (pow z 2)))
54.0ms
(fma y (+ 3.13060547623 (/ t (pow z 2))) x)
22.0ms
(/ t (pow z 2))

simplify2.7s

Counts
87 → 87
Iterations

Useful iterations: 2 (81.0ms)

IterNodesCost
0133915
1260848
2894738
34178738
done5001738

prune263.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.3b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ 3.13060547623 (* t (/ 1 (pow z 2))))
0.5b
(/ 1 (pow z 2))
3.9b
(fma y (+ 3.13060547623 (* t (/ 1 (pow z 2)))) x)
7.2b
(* t (/ 1 (pow z 2)))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
56×add-sqr-sqrt times-frac
42×*-un-lft-identity
38×add-cube-cbrt
33×add-exp-log
28×associate-*r*
23×unpow-prod-down
12×div-exp
11×add-cbrt-cube
10×prod-exp
9×unpow2 unswap-sqr sqr-pow
8×associate-/r*
6×pow1 pow-to-exp rec-exp 1-exp pow-exp add-log-exp
4×expm1-log1p-u log1p-expm1-u
3×fma-def associate-*l* associate-/l*
2×cbrt-undiv cbrt-unprod div-inv
1×+-commutative pow-flip frac-2neg flip3-+ associate-*r/ pow-prod-down clear-num sum-log un-div-inv *-commutative flip-+ fma-udef inv-pow
Counts
4 → 150
Calls
4 calls:
2.0ms
(+ 3.13060547623 (* t (/ 1 (pow z 2))))
4.0ms
(/ 1 (pow z 2))
0.0ms
(fma y (+ 3.13060547623 (* t (/ 1 (pow z 2)))) x)
15.0ms
(* t (/ 1 (pow z 2)))

series120.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(+ 3.13060547623 (* t (/ 1 (pow z 2))))
16.0ms
(/ 1 (pow z 2))
53.0ms
(fma y (+ 3.13060547623 (* t (/ 1 (pow z 2)))) x)
22.0ms
(* t (/ 1 (pow z 2)))

simplify1.1s

Counts
162 → 162
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01941718
14421361
215131064
done50011062

prune336.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.3b

regimes724.0ms

Accuracy

95.8% (1.1b remaining)

Error of 1.4b against oracle of 0.3b and baseline of 26.0b

bsearch118.0ms

Steps
ItersRangePoint
3
523651629958845.9
721716784511977.2
706881567136002.4
5
-1.5939472764859622e+18
-4.5045000713410016e+17
-1.5611661787177866e+18

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
03663
14552
done4552

end0.0ms

sample931.0ms

Algorithm
intervals
Results
614.0ms8872×body80valid