Details

Time bar (total: 20.2s)

sample35.0ms

Algorithm
intervals
Results
15.0ms256×body80valid

simplify5.7s

Counts
1 → 1
Iterations

Useful iterations: 3 (39.0ms)

IterNodesCost
018408
138333
272333
3167308
4418308
5966308
61547308
71902308
82267308
92852308
103779308
done5000308

prune31.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 15.9b

localize46.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (+ z 6.012459259764103) z 3.350343815022304)
0.1b
(fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)
3.2b
(/ y (fma (+ z 6.012459259764103) z 3.350343815022304))
16.2b
(fma (/ y (fma (+ z 6.012459259764103) z 3.350343815022304)) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
times-frac
add-cbrt-cube add-exp-log
expm1-log1p-u pow1 log1p-expm1-u add-log-exp
associate-/r* fma-udef associate-/l*
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 z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)
8.0ms
(/ y (fma (+ z 6.012459259764103) z 3.350343815022304))
1.0ms
(fma (/ y (fma (+ z 6.012459259764103) z 3.350343815022304)) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

series335.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(fma (+ z 6.012459259764103) z 3.350343815022304)
41.0ms
(fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)
82.0ms
(/ y (fma (+ z 6.012459259764103) z 3.350343815022304))
183.0ms
(fma (/ y (fma (+ z 6.012459259764103) z 3.350343815022304)) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

simplify2.8s

Counts
71 → 71
Iterations

Useful iterations: done (2.8s)

IterNodesCost
013320057
126617211
279417031
3347716756
done500016606

prune548.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma z (+ z 6.012459259764103) 3.350343815022304)
0.1b
(fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)
3.2b
(/ y (fma z (+ z 6.012459259764103) 3.350343815022304))
16.2b
(fma (/ y (fma z (+ z 6.012459259764103) 3.350343815022304)) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
times-frac
add-cbrt-cube add-exp-log
expm1-log1p-u pow1 log1p-expm1-u add-log-exp
associate-/r* fma-udef associate-/l*
cbrt-undiv clear-num frac-2neg div-exp div-inv
Counts
4 → 59
Calls
4 calls:
0.0ms
(fma z (+ z 6.012459259764103) 3.350343815022304)
0.0ms
(fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)
7.0ms
(/ y (fma z (+ z 6.012459259764103) 3.350343815022304))
1.0ms
(fma (/ y (fma z (+ z 6.012459259764103) 3.350343815022304)) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

series340.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(fma z (+ z 6.012459259764103) 3.350343815022304)
37.0ms
(fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)
69.0ms
(/ y (fma z (+ z 6.012459259764103) 3.350343815022304))
206.0ms
(fma (/ y (fma z (+ z 6.012459259764103) 3.350343815022304)) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

simplify2.2s

Counts
71 → 71
Iterations

Useful iterations: done (2.2s)

IterNodesCost
013320057
126617131
281616986
3382716756
done500016606

prune547.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.1b
(fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)
0.5b
(/ 1 (fma (+ z 6.012459259764103) z 3.350343815022304))
3.2b
(* y (/ 1 (fma (+ z 6.012459259764103) z 3.350343815022304)))
16.2b
(fma (* y (/ 1 (fma (+ z 6.012459259764103) z 3.350343815022304))) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt
21×*-un-lft-identity
20×times-frac add-cube-cbrt
17×add-exp-log
13×associate-*r*
11×add-cbrt-cube
pow1
expm1-log1p-u div-exp prod-exp log1p-expm1-u add-log-exp
associate-/r* associate-*l* associate-/l* unswap-sqr
cbrt-undiv rec-exp 1-exp cbrt-unprod fma-udef div-inv
clear-num frac-2neg pow-prod-down associate-*r/ un-div-inv *-commutative pow-flip inv-pow
Counts
4 → 91
Calls
4 calls:
0.0ms
(fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)
8.0ms
(/ 1 (fma (+ z 6.012459259764103) z 3.350343815022304))
22.0ms
(* y (/ 1 (fma (+ z 6.012459259764103) z 3.350343815022304)))
1.0ms
(fma (* y (/ 1 (fma (+ z 6.012459259764103) z 3.350343815022304))) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

series358.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)
51.0ms
(/ 1 (fma (+ z 6.012459259764103) z 3.350343815022304))
87.0ms
(* y (/ 1 (fma (+ z 6.012459259764103) z 3.350343815022304)))
185.0ms
(fma (* y (/ 1 (fma (+ z 6.012459259764103) z 3.350343815022304))) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

simplify1.3s

Counts
103 → 103
Iterations

Useful iterations: done (1.3s)

IterNodesCost
017230306
138524104
2141222443
done500122108

prune637.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ z 6.012459259764103) z)
0.1b
(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
3.8b
(* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))
20.1b
(/ (* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

rewrite118.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
15×add-cbrt-cube add-exp-log
14×*-un-lft-identity
12×add-cube-cbrt
10×pow1 associate-*l*
associate-*r*
flip3-+ flip-+
expm1-log1p-u associate-*l/ prod-exp associate-*r/ cbrt-unprod log1p-expm1-u add-log-exp
associate-/r* times-frac pow-prod-down *-commutative unswap-sqr
cbrt-undiv div-exp associate-/r/ associate-/l/
distribute-rgt-in clear-num frac-2neg distribute-lft-in div-inv distribute-lft-out associate-/l*
Counts
4 → 96
Calls
4 calls:
16.0ms
(* (+ z 6.012459259764103) z)
20.0ms
(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
39.0ms
(* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))
41.0ms
(/ (* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

series353.0ms

Counts
4 → 12
Calls
4 calls:
51.0ms
(* (+ z 6.012459259764103) z)
74.0ms
(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
68.0ms
(* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))
161.0ms
(/ (* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

simplify2.2s

Counts
108 → 108
Iterations

Useful iterations: done (2.2s)

IterNodesCost
020032174
157924563
2294224053
done500223818

prune647.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes336.0ms

Accuracy

99.6% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 16.4b

bsearch200.0ms

Steps
ItersRangePoint
7
261980.93535209994
64260609.3427585
46621187.15457664
8
-17162450033537.03
-456708930.9521531
-464704203.05911154

simplify28.0ms

Iterations

Useful iterations: 0 (4.0ms)

IterNodesCost
031981
144981
done44981

end0.0ms

sample1.2s

Algorithm
intervals
Results
997.0ms8000×body80valid