Details

Time bar (total: 18.8s)

sample43.0ms

Algorithm
intervals
Results
16.0ms256×body80valid

simplify3.1s

Counts
1 → 1
Iterations
IterNodes
done2529
112529
102182
91689
81203
71037
6864
5633
4359
3162
270
138
018

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 14.9b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (+ z 6.012459259764103) z 3.350343815022304)
0.1b
(fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525)
4.0b
(/ y (fma (+ z 6.012459259764103) z 3.350343815022304))
15.5b
(fma (/ y (fma (+ z 6.012459259764103) z 3.350343815022304)) (fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525) x)

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
9×times-frac
6×add-cbrt-cube add-exp-log
4×expm1-log1p-u pow1 log1p-expm1-u add-log-exp
3×associate-/r* fma-udef associate-/l*
1×cbrt-undiv clear-num frac-2neg div-exp div-inv
Counts
4 → 59
Calls
4 calls:
0.0ms
(fma (+ z 6.012459259764103) z 3.350343815022304)
0.0ms
(fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525)
4.0ms
(/ y (fma (+ z 6.012459259764103) z 3.350343815022304))
0.0ms
(fma (/ y (fma (+ z 6.012459259764103) z 3.350343815022304)) (fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525) x)

series325.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(fma (+ z 6.012459259764103) z 3.350343815022304)
29.0ms
(fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525)
95.0ms
(/ y (fma (+ z 6.012459259764103) z 3.350343815022304))
175.0ms
(fma (/ y (fma (+ z 6.012459259764103) z 3.350343815022304)) (fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525) x)

simplify1.4s

Counts
71 → 71
Iterations
IterNodes
done5003
32523
2725
1266
0133

prune471.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.1b
(fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525)
0.5b
(/ 1 (/ (fma (+ z 6.012459259764103) z 3.350343815022304) y))
3.8b
(/ (fma (+ z 6.012459259764103) z 3.350343815022304) y)
15.5b
(fma (/ 1 (/ (fma (+ z 6.012459259764103) z 3.350343815022304) y)) (fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525) x)

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
84×times-frac
54×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
17×add-exp-log
16×associate-/r*
11×add-cbrt-cube
8×div-exp
6×div-inv associate-/l*
5×pow1
4×expm1-log1p-u cbrt-undiv log1p-expm1-u add-log-exp
2×rec-exp clear-num frac-2neg 1-exp fma-udef
1×associate-/r/ pow-flip inv-pow
Counts
4 → 127
Calls
4 calls:
0.0ms
(fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525)
11.0ms
(/ 1 (/ (fma (+ z 6.012459259764103) z 3.350343815022304) y))
4.0ms
(/ (fma (+ z 6.012459259764103) z 3.350343815022304) y)
0.0ms
(fma (/ 1 (/ (fma (+ z 6.012459259764103) z 3.350343815022304) y)) (fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525) x)

series272.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525)
55.0ms
(/ 1 (/ (fma (+ z 6.012459259764103) z 3.350343815022304) y))
59.0ms
(/ (fma (+ z 6.012459259764103) z 3.350343815022304) y)
123.0ms
(fma (/ 1 (/ (fma (+ z 6.012459259764103) z 3.350343815022304) y)) (fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525) x)

simplify2.3s

Counts
139 → 139
Iterations
IterNodes
done5000
33454
21147
1516
0229

prune721.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize61.0ms

Local error

Found 4 expressions with local error:

0.5b
(/ 1 (/ (sqrt (fma (+ z 6.012459259764103) z 3.350343815022304)) (/ y (sqrt (fma (+ z 6.012459259764103) z 3.350343815022304)))))
13.8b
(sqrt (fma (+ z 6.012459259764103) z 3.350343815022304))
13.8b
(sqrt (fma (+ z 6.012459259764103) z 3.350343815022304))
15.5b
(fma (/ 1 (/ (sqrt (fma (+ z 6.012459259764103) z 3.350343815022304)) (/ y (sqrt (fma (+ z 6.012459259764103) z 3.350343815022304))))) (fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525) x)

rewrite106.0ms

Algorithm
rewrite-expression-head
Rules
1371×times-frac
638×add-sqr-sqrt
636×*-un-lft-identity add-cube-cbrt
486×sqrt-prod
137×associate-/r*
29×div-inv
25×add-exp-log
15×div-exp
13×add-cbrt-cube
7×pow1
6×cbrt-undiv
5×associate-/r/
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×rec-exp 1-exp associate-/l*
2×rem-sqrt-square sqrt-pow1 pow1/2
1×clear-num frac-2neg fma-udef pow-flip inv-pow
Counts
4 → 618
Calls
4 calls:
42.0ms
(/ 1 (/ (sqrt (fma (+ z 6.012459259764103) z 3.350343815022304)) (/ y (sqrt (fma (+ z 6.012459259764103) z 3.350343815022304)))))
1.0ms
(sqrt (fma (+ z 6.012459259764103) z 3.350343815022304))
1.0ms
(sqrt (fma (+ z 6.012459259764103) z 3.350343815022304))
1.0ms
(fma (/ 1 (/ (sqrt (fma (+ z 6.012459259764103) z 3.350343815022304)) (/ y (sqrt (fma (+ z 6.012459259764103) z 3.350343815022304))))) (fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525) x)

series353.0ms

Counts
4 → 12
Calls
4 calls:
67.0ms
(/ 1 (/ (sqrt (fma (+ z 6.012459259764103) z 3.350343815022304)) (/ y (sqrt (fma (+ z 6.012459259764103) z 3.350343815022304)))))
83.0ms
(sqrt (fma (+ z 6.012459259764103) z 3.350343815022304))
62.0ms
(sqrt (fma (+ z 6.012459259764103) z 3.350343815022304))
141.0ms
(fma (/ 1 (/ (sqrt (fma (+ z 6.012459259764103) z 3.350343815022304)) (/ y (sqrt (fma (+ z 6.012459259764103) z 3.350343815022304))))) (fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525) x)

simplify2.5s

Counts
630 → 630
Iterations
IterNodes
done5000
12272
0812

prune2.6s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize79.0ms

Local error

Found 4 expressions with local error:

3.8b
(/ (fma (+ z 6.012459259764103) z 3.350343815022304) y)
15.5b
(fma (/ 1 (/ (fma (+ z 6.012459259764103) z 3.350343815022304) y)) (fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525) x)
15.5b
(fma (/ 1 (/ (fma (+ z 6.012459259764103) z 3.350343815022304) y)) (fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525) x)
15.5b
(fma (/ 1 (/ (fma (+ z 6.012459259764103) z 3.350343815022304) y)) (fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525) x)

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
9×times-frac
6×add-cbrt-cube add-exp-log
4×expm1-log1p-u pow1 log1p-expm1-u add-log-exp
3×associate-/r* fma-udef associate-/l*
1×cbrt-undiv clear-num frac-2neg div-exp div-inv
Counts
4 → 59
Calls
4 calls:
5.0ms
(/ (fma (+ z 6.012459259764103) z 3.350343815022304) y)
0.0ms
(fma (/ 1 (/ (fma (+ z 6.012459259764103) z 3.350343815022304) y)) (fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525) x)
0.0ms
(fma (/ 1 (/ (fma (+ z 6.012459259764103) z 3.350343815022304) y)) (fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525) x)
1.0ms
(fma (/ 1 (/ (fma (+ z 6.012459259764103) z 3.350343815022304) y)) (fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525) x)

series430.0ms

Counts
4 → 12
Calls
4 calls:
64.0ms
(/ (fma (+ z 6.012459259764103) z 3.350343815022304) y)
103.0ms
(fma (/ 1 (/ (fma (+ z 6.012459259764103) z 3.350343815022304) y)) (fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525) x)
135.0ms
(fma (/ 1 (/ (fma (+ z 6.012459259764103) z 3.350343815022304) y)) (fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525) x)
128.0ms
(fma (/ 1 (/ (fma (+ z 6.012459259764103) z 3.350343815022304) y)) (fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525) x)

simplify1.7s

Counts
71 → 71
Iterations
IterNodes
done5003
31220
2413
1175
094

prune551.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0.0b

regimes533.0ms

Accuracy

99.6% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 16.6b

bsearch176.0ms

Steps
ItersRangePoint
11
573579.0075499975
3.0706563307201483e+25
2.549185446781559e+16
7
-8.665460962243007e+24
-3.9554820123738635e+22
-7.898684176053175e+22

simplify4.0ms

Iterations
IterNodes
done28
128
024

end0.0ms

sample882.0ms

Algorithm
intervals
Results
687.0ms8000×body80valid