Details

Time bar (total: 11.7s)

sample40.0ms

Algorithm
intervals
Results
19.0ms283×body80valid

simplify2.0s

Counts
1 → 1
Iterations

Useful iterations: 3 (34.0ms)

IterNodesCost
03037
16230
213130
328629
474429
5205729
6469029
done500029

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 25.7b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (fma (fma (fma z 3.13060547623 11.1667541262) z t) z a) z b)
0.0b
(fma (fma z 3.13060547623 11.1667541262) z t)
2.2b
(/ y (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))
25.1b
(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 (fma (fma z 3.13060547623 11.1667541262) z t) z a) z b)
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)

series923.0ms

Counts
4 → 12
Calls
4 calls:
90.0ms
(fma (fma (fma (fma z 3.13060547623 11.1667541262) z t) z a) z b)
31.0ms
(fma (fma z 3.13060547623 11.1667541262) z t)
108.0ms
(/ y (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))
694.0ms
(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)

simplify1.4s

Counts
71 → 71
Iterations

Useful iterations: 3 (374.0ms)

IterNodesCost
01451496
12711478
27311309
332861301
done50011301

prune388.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.3b

localize15.0ms

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 (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771)
2.2b
(/ y (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))
9.7b
(fma (/ y (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771)) (fma 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 (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771)
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 a z b) x)

series546.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721)
49.0ms
(fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771)
107.0ms
(/ y (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))
353.0ms
(fma (/ y (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771)) (fma a z b) x)

simplify1.2s

Counts
71 → 71
Iterations

Useful iterations: 3 (403.0ms)

IterNodesCost
01351406
12671384
27451242
333421223
done50001223

prune317.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 1 expressions with local error:

1.7b
(fma (/ t z) (/ y 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 (/ t z) (/ y z) (fma 3.13060547623 y x))

series52.0ms

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

simplify880.0ms

Counts
13 → 13
Iterations

Useful iterations: 4 (178.0ms)

IterNodesCost
026190
147190
298162
3350162
42164149
done5000149

prune64.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.1b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (fma z 3.13060547623 11.1667541262) z t)
0.3b
(/ 1 (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))
2.3b
(* y (/ 1 (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771)))
25.1b
(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)

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt
21×*-un-lft-identity
20×add-cube-cbrt times-frac
17×add-exp-log
13×associate-*r*
11×add-cbrt-cube
7×pow1
4×expm1-log1p-u div-exp prod-exp log1p-expm1-u add-log-exp
3×associate-*l* associate-/r* associate-/l* unswap-sqr
2×cbrt-undiv rec-exp 1-exp cbrt-unprod fma-udef div-inv
1×pow-flip frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv *-commutative inv-pow
Counts
4 → 91
Calls
4 calls:
0.0ms
(fma (fma z 3.13060547623 11.1667541262) z t)
2.0ms
(/ 1 (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))
8.0ms
(* y (/ 1 (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771)))
0.0ms
(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)

series941.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(fma (fma z 3.13060547623 11.1667541262) z t)
77.0ms
(/ 1 (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))
112.0ms
(* y (/ 1 (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771)))
723.0ms
(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)

simplify603.0ms

Counts
103 → 103
Iterations

Useful iterations: done (599.0ms)

IterNodesCost
01732172
13652001
210731750
done50001746

prune432.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.1b

regimes668.0ms

Accuracy

95% (1.3b remaining)

Error of 1.5b against oracle of 0.1b and baseline of 26.5b

bsearch195.0ms

Steps
ItersRangePoint
5
4713.930704591994
10234.65621549505
10094.050046646438
8
-3.259109231022344e+36
-2.3369465847565803e+33
-1.7407917578078988e+36

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
03461
14151
done4151

end0.0ms

sample937.0ms

Algorithm
intervals
Results
626.0ms8861×body80valid