Details

Time bar (total: 14.4s)

sample42.0ms

Algorithm
intervals
Results
19.0ms279×body80valid

simplify2.5s

Counts
1 → 1
Iterations

Useful iterations: 3 (39.0ms)

IterNodesCost
03037
16230
213130
328629
474429
5205729
6468929
done500029

prune15.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 26.2b

localize25.0ms

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))
25.5b
(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)

rewrite5.0ms

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)

series952.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721)
30.0ms
(fma (fma z 3.13060547623 11.1667541262) z t)
115.0ms
(/ y (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))
766.0ms
(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)

simplify868.0ms

Counts
71 → 71
Iterations

Useful iterations: done (865.0ms)

IterNodesCost
01441442
12721423
26561262
318161252
done50021249

prune440.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.2b

localize29.0ms

Local error

Found 4 expressions with local error:

0.1b
(fma (fma z 3.13060547623 11.1667541262) z t)
0.2b
(/ 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)
25.5b
(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)

rewrite13.0ms

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:
0.0ms
(fma (fma z 3.13060547623 11.1667541262) z t)
5.0ms
(/ 1 (/ (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771) y))
2.0ms
(/ (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)

series649.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(fma (fma z 3.13060547623 11.1667541262) z t)
92.0ms
(/ 1 (/ (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771) y))
95.0ms
(/ (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771) y)
430.0ms
(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)

simplify1.4s

Counts
139 → 139
Iterations

Useful iterations: 3 (642.0ms)

IterNodesCost
02383565
15033343
210572978
327132955
done50012955

prune555.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.2b

localize24.0ms

Local error

Found 4 expressions with local error:

0.1b
(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))
2.2b
(/ (/ 1 (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771)) (/ 1 y))
25.5b
(fma (/ (/ 1 (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771)) (/ 1 y)) (fma (fma (fma (fma z 3.13060547623 11.1667541262) z t) z a) z b) x)

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
430×times-frac
208×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
48×add-exp-log
34×div-exp
30×div-inv
18×add-cbrt-cube
16×associate-/r* associate-/l*
9×cbrt-undiv rec-exp 1-exp
5×pow1
4×expm1-log1p-u log1p-expm1-u add-log-exp
2×frac-2neg clear-num fma-udef
1×pow-flip associate-/r/ associate-/l/ inv-pow
Counts
4 → 282
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))
14.0ms
(/ (/ 1 (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771)) (/ 1 y))
0.0ms
(fma (/ (/ 1 (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771)) (/ 1 y)) (fma (fma (fma (fma z 3.13060547623 11.1667541262) z t) z a) z b) x)

series644.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(fma (fma z 3.13060547623 11.1667541262) z t)
75.0ms
(/ 1 (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))
99.0ms
(/ (/ 1 (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771)) (/ 1 y))
434.0ms
(fma (/ (/ 1 (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771)) (/ 1 y)) (fma (fma (fma (fma z 3.13060547623 11.1667541262) z t) z a) z b) x)

simplify1.3s

Counts
294 → 294
Iterations

Useful iterations: done (1.3s)

IterNodesCost
04729937
113198458
223527673
done50017613

prune886.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.2b

localize31.0ms

Local error

Found 4 expressions with local error:

15.8b
(cbrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))
15.8b
(cbrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))
15.8b
(cbrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))
25.5b
(fma (* (/ 1 (* (cbrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771)) (cbrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771)))) (/ y (cbrt (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)

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
9×cbrt-prod
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×pow1/3
1×fma-udef
Counts
4 → 49
Calls
4 calls:
0.0ms
(cbrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))
0.0ms
(cbrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))
1.0ms
(cbrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))
0.0ms
(fma (* (/ 1 (* (cbrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771)) (cbrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771)))) (/ y (cbrt (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)

series915.0ms

Counts
4 → 12
Calls
4 calls:
158.0ms
(cbrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))
163.0ms
(cbrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))
167.0ms
(cbrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))
427.0ms
(fma (* (/ 1 (* (cbrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771)) (cbrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771)))) (/ y (cbrt (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)

simplify888.0ms

Counts
61 → 61
Iterations

Useful iterations: 3 (186.0ms)

IterNodesCost
0921808
11891775
24951544
316241202
done50001202

prune393.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.2b

regimes666.0ms

Accuracy

96.2% (1.1b remaining)

Error of 1.4b against oracle of 0.4b and baseline of 28.5b

bsearch223.0ms

Steps
ItersRangePoint
6
5.619679650686545e+73
6.93108202513983e+74
5.742012253919877e+73
8
-3.549951154028029e+48
-8.071674369691596e+45
-1.704235648666334e+47

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
03561
14151
done4151

end0.0ms

sample924.0ms

Algorithm
intervals
Results
609.0ms8875×body80valid