Details

Time bar (total: 21.8s)

sample55.0ms

Algorithm
intervals
Results
27.0ms256×body80valid

simplify6.2s

Counts
1 → 1
Iterations

Useful iterations: 3 (45.0ms)

IterNodesCost
01821
13818
27218
316717
441517
594417
6150217
7183717
8222417
9280217
10376417
done500017

prune24.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 14.9b

localize35.0ms

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))
14.8b
(fma (/ y (fma (+ z 6.012459259764103) z 3.350343815022304)) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

rewrite27.0ms

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:
1.0ms
(fma (+ z 6.012459259764103) z 3.350343815022304)
1.0ms
(fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)
22.0ms
(/ 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)

series357.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(fma (+ z 6.012459259764103) z 3.350343815022304)
35.0ms
(fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)
94.0ms
(/ y (fma (+ z 6.012459259764103) z 3.350343815022304))
203.0ms
(fma (/ y (fma (+ z 6.012459259764103) z 3.350343815022304)) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

simplify2.3s

Counts
71 → 71
Iterations

Useful iterations: done (2.3s)

IterNodesCost
0129985
1251962
2768866
33365855
done5000851

prune413.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

14.5b
(cbrt (fma (+ z 6.012459259764103) z 3.350343815022304))
14.5b
(cbrt (fma (+ z 6.012459259764103) z 3.350343815022304))
14.5b
(cbrt (fma (+ z 6.012459259764103) z 3.350343815022304))
14.8b
(fma (* (/ 1 (* (cbrt (fma (+ z 6.012459259764103) z 3.350343815022304)) (cbrt (fma (+ z 6.012459259764103) z 3.350343815022304)))) (/ y (cbrt (fma (+ z 6.012459259764103) z 3.350343815022304)))) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

rewrite4.0ms

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:
1.0ms
(cbrt (fma (+ z 6.012459259764103) z 3.350343815022304))
1.0ms
(cbrt (fma (+ z 6.012459259764103) z 3.350343815022304))
1.0ms
(cbrt (fma (+ z 6.012459259764103) z 3.350343815022304))
0.0ms
(fma (* (/ 1 (* (cbrt (fma (+ z 6.012459259764103) z 3.350343815022304)) (cbrt (fma (+ z 6.012459259764103) z 3.350343815022304)))) (/ y (cbrt (fma (+ z 6.012459259764103) z 3.350343815022304)))) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

series468.0ms

Counts
4 → 12
Calls
4 calls:
109.0ms
(cbrt (fma (+ z 6.012459259764103) z 3.350343815022304))
114.0ms
(cbrt (fma (+ z 6.012459259764103) z 3.350343815022304))
143.0ms
(cbrt (fma (+ z 6.012459259764103) z 3.350343815022304))
102.0ms
(fma (* (/ 1 (* (cbrt (fma (+ z 6.012459259764103) z 3.350343815022304)) (cbrt (fma (+ z 6.012459259764103) z 3.350343815022304)))) (/ y (cbrt (fma (+ z 6.012459259764103) z 3.350343815022304)))) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

simplify2.2s

Counts
61 → 61
Iterations

Useful iterations: done (2.2s)

IterNodesCost
0931190
11971155
26151008
32889803
done5001797

prune471.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize62.0ms

Local error

Found 4 expressions with local error:

14.5b
(cbrt (fma (+ z 6.012459259764103) z 3.350343815022304))
14.5b
(cbrt (fma (+ z 6.012459259764103) z 3.350343815022304))
14.5b
(cbrt (fma (+ z 6.012459259764103) z 3.350343815022304))
14.8b
(fma (* (/ 1 (* (cbrt (fma (+ z 6.012459259764103) z 3.350343815022304)) (* (* (cbrt (cbrt (fma (+ z 6.012459259764103) z 3.350343815022304))) (cbrt (cbrt (fma (+ z 6.012459259764103) z 3.350343815022304)))) (cbrt (cbrt (fma (+ z 6.012459259764103) z 3.350343815022304)))))) (/ y (cbrt (fma (+ z 6.012459259764103) z 3.350343815022304)))) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

rewrite7.0ms

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:
1.0ms
(cbrt (fma (+ z 6.012459259764103) z 3.350343815022304))
2.0ms
(cbrt (fma (+ z 6.012459259764103) z 3.350343815022304))
2.0ms
(cbrt (fma (+ z 6.012459259764103) z 3.350343815022304))
1.0ms
(fma (* (/ 1 (* (cbrt (fma (+ z 6.012459259764103) z 3.350343815022304)) (* (* (cbrt (cbrt (fma (+ z 6.012459259764103) z 3.350343815022304))) (cbrt (cbrt (fma (+ z 6.012459259764103) z 3.350343815022304)))) (cbrt (cbrt (fma (+ z 6.012459259764103) z 3.350343815022304)))))) (/ y (cbrt (fma (+ z 6.012459259764103) z 3.350343815022304)))) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

series542.0ms

Counts
4 → 12
Calls
4 calls:
123.0ms
(cbrt (fma (+ z 6.012459259764103) z 3.350343815022304))
180.0ms
(cbrt (fma (+ z 6.012459259764103) z 3.350343815022304))
120.0ms
(cbrt (fma (+ z 6.012459259764103) z 3.350343815022304))
118.0ms
(fma (* (/ 1 (* (cbrt (fma (+ z 6.012459259764103) z 3.350343815022304)) (* (* (cbrt (cbrt (fma (+ z 6.012459259764103) z 3.350343815022304))) (cbrt (cbrt (fma (+ z 6.012459259764103) z 3.350343815022304)))) (cbrt (cbrt (fma (+ z 6.012459259764103) z 3.350343815022304)))))) (/ y (cbrt (fma (+ z 6.012459259764103) z 3.350343815022304)))) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

simplify2.3s

Counts
61 → 61
Iterations

Useful iterations: done (2.3s)

IterNodesCost
0951437
12031402
26421041
33391990
done5000984

prune491.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 4 expressions with local error:

14.5b
(cbrt (fma (+ z 6.012459259764103) z 3.350343815022304))
14.5b
(cbrt (fma (+ z 6.012459259764103) z 3.350343815022304))
14.5b
(cbrt (fma (+ z 6.012459259764103) z 3.350343815022304))
14.8b
(fma (* (/ 1 (* (expm1 (log1p (cbrt (fma (+ z 6.012459259764103) z 3.350343815022304)))) (cbrt (fma (+ z 6.012459259764103) z 3.350343815022304)))) (/ y (cbrt (fma (+ z 6.012459259764103) z 3.350343815022304)))) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

rewrite4.0ms

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:
1.0ms
(cbrt (fma (+ z 6.012459259764103) z 3.350343815022304))
1.0ms
(cbrt (fma (+ z 6.012459259764103) z 3.350343815022304))
1.0ms
(cbrt (fma (+ z 6.012459259764103) z 3.350343815022304))
0.0ms
(fma (* (/ 1 (* (expm1 (log1p (cbrt (fma (+ z 6.012459259764103) z 3.350343815022304)))) (cbrt (fma (+ z 6.012459259764103) z 3.350343815022304)))) (/ y (cbrt (fma (+ z 6.012459259764103) z 3.350343815022304)))) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

series1.2s

Counts
4 → 12
Calls
4 calls:
115.0ms
(cbrt (fma (+ z 6.012459259764103) z 3.350343815022304))
125.0ms
(cbrt (fma (+ z 6.012459259764103) z 3.350343815022304))
115.0ms
(cbrt (fma (+ z 6.012459259764103) z 3.350343815022304))
859.0ms
(fma (* (/ 1 (* (expm1 (log1p (cbrt (fma (+ z 6.012459259764103) z 3.350343815022304)))) (cbrt (fma (+ z 6.012459259764103) z 3.350343815022304)))) (/ y (cbrt (fma (+ z 6.012459259764103) z 3.350343815022304)))) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

simplify2.3s

Counts
61 → 61
Iterations

Useful iterations: done (2.3s)

IterNodesCost
0981224
12151161
26711015
33202809
done5001802

prune587.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes473.0ms

Accuracy

99.6% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 16.9b

bsearch220.0ms

Steps
ItersRangePoint
9
8.322216595118501
865094.0527290168
856589.8561802361
9
-3.698685671129871e+31
-1.1941517926520358e+22
-1.223260049616982e+22

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
02443
12835
done2835

end0.0ms

sample1.0s

Algorithm
intervals
Results
710.0ms8000×body80valid