Details

sample38.0ms

Algorithm

intervals

Results

16.0ms

256×

body

valid

simplify5.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
10	3779
9	2852
8	2267
7	1902
6	1547
5	966
4	418
3	167
2	72
1	38
0	18

prune20.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 15.9b

localize45.0ms

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)
0.1b	(fma (/ (fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525) (fma (+ z 6.012459259764103) z 3.350343815022304)) y x)
15.4b	(/ (fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525) (fma (+ z 6.012459259764103) z 3.350343815022304))

rewrite10.0ms

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

series339.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(fma (+ z 6.012459259764103) z 3.350343815022304)
42.0ms	(fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525)
172.0ms	(fma (/ (fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525) (fma (+ z 6.012459259764103) z 3.350343815022304)) y x)
102.0ms	(/ (fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525) (fma (+ z 6.012459259764103) z 3.350343815022304))

simplify1.8s

Counts

71 → 71

Iterations

Iter	Nodes
done	5002
3	2290
2	606
1	229
0	118

prune504.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525)
0.1b	(fma (* (sqrt (/ (fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525) (fma (+ z 6.012459259764103) z 3.350343815022304))) (sqrt (/ (fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525) (fma (+ z 6.012459259764103) z 3.350343815022304)))) y x)
15.4b	(/ (fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525) (fma (+ z 6.012459259764103) z 3.350343815022304))
15.4b	(/ (fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525) (fma (+ z 6.012459259764103) z 3.350343815022304))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
18×	`times-frac`
8×	`add-cbrt-cube` `add-exp-log`
6×	`associate-/r` `associate-/l`
4×	`expm1-log1p-u` `pow1` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `fma-udef` `div-inv`

Counts

4 → 78

Calls

4 calls:

0.0ms	(fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525)
0.0ms	(fma (* (sqrt (/ (fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525) (fma (+ z 6.012459259764103) z 3.350343815022304))) (sqrt (/ (fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525) (fma (+ z 6.012459259764103) z 3.350343815022304)))) y x)
4.0ms	(/ (fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525) (fma (+ z 6.012459259764103) z 3.350343815022304))
4.0ms	(/ (fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525) (fma (+ z 6.012459259764103) z 3.350343815022304))

series380.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525)
139.0ms	(fma (* (sqrt (/ (fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525) (fma (+ z 6.012459259764103) z 3.350343815022304))) (sqrt (/ (fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525) (fma (+ z 6.012459259764103) z 3.350343815022304)))) y x)
96.0ms	(/ (fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525) (fma (+ z 6.012459259764103) z 3.350343815022304))
98.0ms	(/ (fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525) (fma (+ z 6.012459259764103) z 3.350343815022304))

simplify2.2s

Counts

90 → 90

Iterations

Iter	Nodes
done	5000
3	2299
2	604
1	213
0	110

prune872.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)
0.1b	(fma (exp (log (/ (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) (fma (+ z 6.012459259764103) z 3.350343815022304)))) y x)
0.5b	(exp (log (/ (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) (fma (+ z 6.012459259764103) z 3.350343815022304))))
15.4b	(/ (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) (fma (+ z 6.012459259764103) z 3.350343815022304))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
18×	`times-frac`
13×	`log-prod` `exp-sum`
6×	`add-cbrt-cube` `add-exp-log`
5×	`pow1`
4×	`expm1-log1p-u` `exp-prod` `log1p-expm1-u` `add-log-exp`
3×	`associate-/r` `associate-/l`
2×	`fma-udef` `div-inv`
1×	`cbrt-undiv` `log-div` `clear-num` `frac-2neg` `exp-diff` `div-exp` `log-pow` `rem-exp-log`

Counts

4 → 77

Calls

4 calls:

0.0ms	(fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)
0.0ms	(fma (exp (log (/ (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) (fma (+ z 6.012459259764103) z 3.350343815022304)))) y x)
9.0ms	(exp (log (/ (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) (fma (+ z 6.012459259764103) z 3.350343815022304))))
4.0ms	(/ (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) (fma (+ z 6.012459259764103) z 3.350343815022304))

series403.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)
171.0ms	(fma (exp (log (/ (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) (fma (+ z 6.012459259764103) z 3.350343815022304)))) y x)
102.0ms	(exp (log (/ (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) (fma (+ z 6.012459259764103) z 3.350343815022304))))
97.0ms	(/ (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) (fma (+ z 6.012459259764103) z 3.350343815022304))

simplify2.0s

Counts

89 → 89

Iterations

Iter	Nodes
done	5000
3	3357
2	816
1	304
0	169

prune724.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

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

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-cbrt-cube` `add-exp-log`
10×	`add-sqr-sqrt`
8×	`*-un-lft-identity` `add-cube-cbrt`
6×	`pow1`
4×	`expm1-log1p-u` `fma-udef` `log1p-expm1-u` `add-log-exp`
3×	`associate-/r` `times-frac` `associate-r` `associate-l*`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod`
1×	`distribute-rgt-in` `clear-num` `frac-2neg` `distribute-lft-in` `pow-prod-down` `-commutative` `div-inv` `associate-/l` `unswap-sqr`

Counts

4 → 65

Calls

4 calls:

0.0ms	(fma z (+ z 6.012459259764103) 3.350343815022304)
1.0ms	(fma z (fma z 0.0692910599291889 0.4917317610505968) 0.279195317918525)
11.0ms	(* y (fma z (fma z 0.0692910599291889 0.4917317610505968) 0.279195317918525))
13.0ms	(/ (* y (fma z (fma z 0.0692910599291889 0.4917317610505968) 0.279195317918525)) (fma z (+ z 6.012459259764103) 3.350343815022304))

series330.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(fma z (+ z 6.012459259764103) 3.350343815022304)
43.0ms	(fma z (fma z 0.0692910599291889 0.4917317610505968) 0.279195317918525)
77.0ms	(* y (fma z (fma z 0.0692910599291889 0.4917317610505968) 0.279195317918525))
175.0ms	(/ (* y (fma z (fma z 0.0692910599291889 0.4917317610505968) 0.279195317918525)) (fma z (+ z 6.012459259764103) 3.350343815022304))

simplify1.4s

Counts

77 → 77

Iterations

Iter	Nodes
done	5002
2	1204
1	293
0	125

prune467.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes385.0ms

Accuracy

99.6% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 16.3b

bsearch164.0ms

Steps

Iters	Range		Point
7	261980.93535209994	64260609.3427585	46621187.15457664
8	-17162450033537.03	-456708930.9521531	-464704203.05911154

simplify8.0ms

Iterations

Iter	Nodes
done	31
1	31
0	25

end0.0ms

sample1.3s

Algorithm

intervals

Results

903.0ms

8000×

body

valid