Details

Time bar (total: 12.1s)

sample34.0ms

Algorithm
intervals
Results
17.0ms256×body80valid

simplify893.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
02937
16230
215330
338330
4125130
done500030

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 28.9b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (fma (fma x 4.16438922228 78.6994924154) x 137.519416416) x y)
0.0b
(fma (fma (fma (fma x 4.16438922228 78.6994924154) x 137.519416416) x y) x z)
0.1b
(fma (fma x 4.16438922228 78.6994924154) x 137.519416416)
28.1b
(/ (* (fma (fma (fma (fma x 4.16438922228 78.6994924154) x 137.519416416) x y) x z) (- x 2.0)) (fma (fma (fma (+ x 43.3400022514) x 263.505074721) x 313.399215894) x 47.066876606))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
9×add-exp-log add-cbrt-cube
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
3×times-frac associate-/r* fma-udef
2×cbrt-undiv associate-*r/ div-exp associate-/l/
1×flip3-- frac-2neg prod-exp clear-num flip-- cbrt-unprod div-inv associate-/l*
Counts
4 → 55
Calls
4 calls:
0.0ms
(fma (fma (fma x 4.16438922228 78.6994924154) x 137.519416416) x y)
0.0ms
(fma (fma (fma (fma x 4.16438922228 78.6994924154) x 137.519416416) x y) x z)
0.0ms
(fma (fma x 4.16438922228 78.6994924154) x 137.519416416)
12.0ms
(/ (* (fma (fma (fma (fma x 4.16438922228 78.6994924154) x 137.519416416) x y) x z) (- x 2.0)) (fma (fma (fma (+ x 43.3400022514) x 263.505074721) x 313.399215894) x 47.066876606))

series457.0ms

Counts
4 → 12
Calls
4 calls:
55.0ms
(fma (fma (fma x 4.16438922228 78.6994924154) x 137.519416416) x y)
96.0ms
(fma (fma (fma (fma x 4.16438922228 78.6994924154) x 137.519416416) x y) x z)
26.0ms
(fma (fma x 4.16438922228 78.6994924154) x 137.519416416)
280.0ms
(/ (* (fma (fma (fma (fma x 4.16438922228 78.6994924154) x 137.519416416) x y) x z) (- x 2.0)) (fma (fma (fma (+ x 43.3400022514) x 263.505074721) x 313.399215894) x 47.066876606))

simplify1.6s

Counts
67 → 67
Iterations

Useful iterations: done (1.6s)

IterNodesCost
01401552
13241522
210171272
343441268
done50001267

prune347.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (fma (fma (fma x 4.16438922228 78.6994924154) x 137.519416416) x y) x z)
0.1b
(fma (fma x 4.16438922228 78.6994924154) x 137.519416416)
2.8b
(/ (fma (fma (fma (+ x 43.3400022514) x 263.505074721) x 313.399215894) x 47.066876606) (- x 2.0))
26.1b
(/ (fma (fma (fma (fma x 4.16438922228 78.6994924154) x 137.519416416) x y) x z) (/ (fma (fma (fma (+ x 43.3400022514) x 263.505074721) x 313.399215894) x 47.066876606) (- x 2.0)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
104×add-sqr-sqrt *-un-lft-identity
72×add-cube-cbrt
26×associate-/r*
16×distribute-lft-out-- difference-of-squares
11×add-exp-log associate-/r/ add-cbrt-cube
6×div-inv associate-/l*
5×flip3-- flip--
4×pow1 cbrt-undiv expm1-log1p-u div-exp log1p-expm1-u add-log-exp
2×frac-2neg clear-num fma-udef
Counts
4 → 163
Calls
4 calls:
0.0ms
(fma (fma (fma (fma x 4.16438922228 78.6994924154) x 137.519416416) x y) x z)
0.0ms
(fma (fma x 4.16438922228 78.6994924154) x 137.519416416)
6.0ms
(/ (fma (fma (fma (+ x 43.3400022514) x 263.505074721) x 313.399215894) x 47.066876606) (- x 2.0))
10.0ms
(/ (fma (fma (fma (fma x 4.16438922228 78.6994924154) x 137.519416416) x y) x z) (/ (fma (fma (fma (+ x 43.3400022514) x 263.505074721) x 313.399215894) x 47.066876606) (- x 2.0)))

series484.0ms

Counts
4 → 12
Calls
4 calls:
92.0ms
(fma (fma (fma (fma x 4.16438922228 78.6994924154) x 137.519416416) x y) x z)
28.0ms
(fma (fma x 4.16438922228 78.6994924154) x 137.519416416)
88.0ms
(/ (fma (fma (fma (+ x 43.3400022514) x 263.505074721) x 313.399215894) x 47.066876606) (- x 2.0))
276.0ms
(/ (fma (fma (fma (fma x 4.16438922228 78.6994924154) x 137.519416416) x y) x z) (/ (fma (fma (fma (+ x 43.3400022514) x 263.505074721) x 313.399215894) x 47.066876606) (- x 2.0)))

simplify768.0ms

Counts
175 → 175
Iterations

Useful iterations: 2 (222.0ms)

IterNodesCost
02937015
16326860
222096552
done50006552

prune820.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (fma (fma x 4.16438922228 78.6994924154) x 137.519416416) x y)
0.0b
(fma (fma (fma (fma x 4.16438922228 78.6994924154) x 137.519416416) x y) x z)
0.1b
(fma (fma x 4.16438922228 78.6994924154) x 137.519416416)
26.1b
(/ (fma (fma (fma (fma x 4.16438922228 78.6994924154) x 137.519416416) x y) x z) (fma (fma (fma (+ x 43.3400022514) x 263.505074721) x 313.399215894) x 47.066876606))

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 x 4.16438922228 78.6994924154) x 137.519416416) x y)
0.0ms
(fma (fma (fma (fma x 4.16438922228 78.6994924154) x 137.519416416) x y) x z)
0.0ms
(fma (fma x 4.16438922228 78.6994924154) x 137.519416416)
2.0ms
(/ (fma (fma (fma (fma x 4.16438922228 78.6994924154) x 137.519416416) x y) x z) (fma (fma (fma (+ x 43.3400022514) x 263.505074721) x 313.399215894) x 47.066876606))

series424.0ms

Counts
4 → 12
Calls
4 calls:
55.0ms
(fma (fma (fma x 4.16438922228 78.6994924154) x 137.519416416) x y)
102.0ms
(fma (fma (fma (fma x 4.16438922228 78.6994924154) x 137.519416416) x y) x z)
25.0ms
(fma (fma x 4.16438922228 78.6994924154) x 137.519416416)
241.0ms
(/ (fma (fma (fma (fma x 4.16438922228 78.6994924154) x 137.519416416) x y) x z) (fma (fma (fma (+ x 43.3400022514) x 263.505074721) x 313.399215894) x 47.066876606))

simplify885.0ms

Counts
71 → 71
Iterations

Useful iterations: done (882.0ms)

IterNodesCost
01291747
12491718
26041542
316521538
done50001534

prune346.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.1b
(fma (fma x 4.16438922228 78.6994924154) x 137.519416416)
0.3b
(/ 1 (/ (/ (fma (fma (fma (+ x 43.3400022514) x 263.505074721) x 313.399215894) x 47.066876606) (- x 2.0)) (fma (fma (fma (fma x 4.16438922228 78.6994924154) x 137.519416416) x y) x z)))
2.8b
(/ (fma (fma (fma (+ x 43.3400022514) x 263.505074721) x 313.399215894) x 47.066876606) (- x 2.0))
26.4b
(/ (/ (fma (fma (fma (+ x 43.3400022514) x 263.505074721) x 313.399215894) x 47.066876606) (- x 2.0)) (fma (fma (fma (fma x 4.16438922228 78.6994924154) x 137.519416416) x y) x z))

rewrite78.0ms

Algorithm
rewrite-expression-head
Rules
771×times-frac
440×add-sqr-sqrt *-un-lft-identity
336×add-cube-cbrt
75×associate-/r*
52×distribute-lft-out-- difference-of-squares
35×associate-/r/
32×add-exp-log
27×associate-/l*
23×div-inv
20×add-cbrt-cube
19×div-exp
17×flip3-- flip--
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 fma-udef associate-/l/ inv-pow
Counts
4 → 451
Calls
4 calls:
0.0ms
(fma (fma x 4.16438922228 78.6994924154) x 137.519416416)
22.0ms
(/ 1 (/ (/ (fma (fma (fma (+ x 43.3400022514) x 263.505074721) x 313.399215894) x 47.066876606) (- x 2.0)) (fma (fma (fma (fma x 4.16438922228 78.6994924154) x 137.519416416) x y) x z)))
5.0ms
(/ (fma (fma (fma (+ x 43.3400022514) x 263.505074721) x 313.399215894) x 47.066876606) (- x 2.0))
13.0ms
(/ (/ (fma (fma (fma (+ x 43.3400022514) x 263.505074721) x 313.399215894) x 47.066876606) (- x 2.0)) (fma (fma (fma (fma x 4.16438922228 78.6994924154) x 137.519416416) x y) x z))

series602.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(fma (fma x 4.16438922228 78.6994924154) x 137.519416416)
277.0ms
(/ 1 (/ (/ (fma (fma (fma (+ x 43.3400022514) x 263.505074721) x 313.399215894) x 47.066876606) (- x 2.0)) (fma (fma (fma (fma x 4.16438922228 78.6994924154) x 137.519416416) x y) x z)))
95.0ms
(/ (fma (fma (fma (+ x 43.3400022514) x 263.505074721) x 313.399215894) x 47.066876606) (- x 2.0))
200.0ms
(/ (/ (fma (fma (fma (+ x 43.3400022514) x 263.505074721) x 313.399215894) x 47.066876606) (- x 2.0)) (fma (fma (fma (fma x 4.16438922228 78.6994924154) x 137.519416416) x y) x z))

simplify1.5s

Counts
463 → 463
Iterations

Useful iterations: 2 (941.0ms)

IterNodesCost
064224436
1155123318
2359422076
done500122076

prune1.5s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes235.0ms

Accuracy

98.3% (0.4b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 25.6b

bsearch192.0ms

Steps
ItersRangePoint
8
6.217793645765005e+41
3.9777289923527025e+45
3.6379943132031436e+44
6
-1.134609644762367e+48
-1.5785591069619822e+47
-3.224942267140988e+47

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
03458
13949
done3949

end0.0ms

sample718.0ms

Algorithm
intervals
Results
536.0ms8005×body80valid