Details

sample42.0ms

Algorithm

intervals

Results

19.0ms

256×

body

valid

simplify6.5s

Counts

1 → 1

Iterations

Useful iterations: 3 (50.0ms)

Iter	Nodes	Cost
0	18	21
1	38	18
2	72	18
3	167	17
4	415	17
5	944	17
6	1502	17
7	1837	17
8	2224	17
9	2802	17
10	3764	17
done	5000	17

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 14.6b

localize15.0ms

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)
2.8b	(/ y (fma (+ z 6.012459259764103) z 3.350343815022304))
14.4b	(fma (/ y (fma (+ z 6.012459259764103) z 3.350343815022304)) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

rewrite10.0ms

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 (+ z 6.012459259764103) z 3.350343815022304)
0.0ms	(fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)
7.0ms	(/ y (fma (+ z 6.012459259764103) z 3.350343815022304))
0.0ms	(fma (/ y (fma (+ z 6.012459259764103) z 3.350343815022304)) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

series340.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(fma (+ z 6.012459259764103) z 3.350343815022304)
35.0ms	(fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)
97.0ms	(/ y (fma (+ z 6.012459259764103) z 3.350343815022304))
187.0ms	(fma (/ y (fma (+ z 6.012459259764103) z 3.350343815022304)) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

simplify2.4s

Counts

71 → 71

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	129	985
1	251	962
2	768	866
3	3365	855
done	5000	851

prune380.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize37.0ms

Local error

Found 4 expressions with local error:

14.0b	(cbrt (fma (+ z 6.012459259764103) z 3.350343815022304))
14.0b	(cbrt (fma (+ z 6.012459259764103) z 3.350343815022304))
14.0b	(cbrt (fma (+ z 6.012459259764103) z 3.350343815022304))
14.4b	(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)

rewrite6.0ms

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))
1.0ms	(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)

series556.0ms

Counts

4 → 12

Calls

4 calls:

122.0ms	(cbrt (fma (+ z 6.012459259764103) z 3.350343815022304))
167.0ms	(cbrt (fma (+ z 6.012459259764103) z 3.350343815022304))
146.0ms	(cbrt (fma (+ z 6.012459259764103) z 3.350343815022304))
121.0ms	(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)

simplify2.4s

Counts

61 → 61

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	93	1190
1	197	1155
2	615	1008
3	2889	803
done	5001	797

prune391.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

14.0b	(cbrt (fma (+ z 6.012459259764103) z 3.350343815022304))
14.0b	(cbrt (fma (+ z 6.012459259764103) z 3.350343815022304))
14.0b	(cbrt (fma (+ z 6.012459259764103) z 3.350343815022304))
14.4b	(fma (* (/ (* (cbrt y) (cbrt y)) (* (cbrt (fma (+ z 6.012459259764103) z 3.350343815022304)) (cbrt (fma (+ z 6.012459259764103) z 3.350343815022304)))) (/ (cbrt 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 (* (/ (* (cbrt y) (cbrt y)) (* (cbrt (fma (+ z 6.012459259764103) z 3.350343815022304)) (cbrt (fma (+ z 6.012459259764103) z 3.350343815022304)))) (/ (cbrt y) (cbrt (fma (+ z 6.012459259764103) z 3.350343815022304)))) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

series656.0ms

Counts

4 → 12

Calls

4 calls:

131.0ms	(cbrt (fma (+ z 6.012459259764103) z 3.350343815022304))
130.0ms	(cbrt (fma (+ z 6.012459259764103) z 3.350343815022304))
167.0ms	(cbrt (fma (+ z 6.012459259764103) z 3.350343815022304))
228.0ms	(fma (* (/ (* (cbrt y) (cbrt y)) (* (cbrt (fma (+ z 6.012459259764103) z 3.350343815022304)) (cbrt (fma (+ z 6.012459259764103) z 3.350343815022304)))) (/ (cbrt y) (cbrt (fma (+ z 6.012459259764103) z 3.350343815022304)))) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

simplify2.0s

Counts

61 → 61

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	95	1255
1	202	1220
2	615	865
3	2683	836
done	5002	797

prune423.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize40.0ms

Local error

Found 4 expressions with local error:

14.0b	(cbrt (fma (+ z 6.012459259764103) z 3.350343815022304))
14.0b	(cbrt (fma (+ z 6.012459259764103) z 3.350343815022304))
14.0b	(cbrt (fma (+ z 6.012459259764103) z 3.350343815022304))
14.4b	(fma (* (/ 1 (* (cbrt (fma (+ z 6.012459259764103) z 3.350343815022304)) (expm1 (log1p (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:

2.0ms	(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)) (expm1 (log1p (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)

series1.6s

Counts

4 → 12

Calls

4 calls:

157.0ms	(cbrt (fma (+ z 6.012459259764103) z 3.350343815022304))
127.0ms	(cbrt (fma (+ z 6.012459259764103) z 3.350343815022304))
125.0ms	(cbrt (fma (+ z 6.012459259764103) z 3.350343815022304))
1.2s	(fma (* (/ 1 (* (cbrt (fma (+ z 6.012459259764103) z 3.350343815022304)) (expm1 (log1p (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)

simplify2.9s

Counts

61 → 61

Iterations

Useful iterations: done (2.9s)

Iter	Nodes	Cost
0	98	1224
1	215	1161
2	678	1015
3	3317	809
done	5000	802

prune438.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0b

regimes304.0ms

Accuracy

99.5% (0.1b remaining)

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

bsearch192.0ms

Steps

Iters	Range		Point
10	3.0915543265581966e-08	1575.9184687212278	1558.1676540285464
10	-1.3980170606481126e+18	-840.7546654138404	-305854124920.40454

simplify5.0ms

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	24	43
1	28	35
done	28	35

end0.0ms

sample1.2s

Algorithm

intervals

Results

856.0ms

8000×

body

valid