Details

sample24.0ms

Algorithm

intervals

Results

10.0ms

256×

body

valid

simplify2.6s

Counts

1 → 1

Iterations

Useful iterations: 3 (26.0ms)

Iter	Nodes	Cost
0	18	21
1	38	18
2	72	18
3	164	17
4	339	17
5	596	17
6	819	17
7	926	17
8	1192	17
9	1633	17
10	1697	17
11	1698	17
done	1698	17

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 15.9b

localize17.0ms

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)
3.5b	(/ y (fma (+ z 6.012459259764103) z 3.350343815022304))
16.4b	(fma (/ y (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

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)
5.0ms	(/ 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)

series249.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(fma (+ z 6.012459259764103) z 3.350343815022304)
26.0ms	(fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)
65.0ms	(/ y (fma (+ z 6.012459259764103) z 3.350343815022304))
138.0ms	(fma (/ y (fma (+ z 6.012459259764103) z 3.350343815022304)) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

simplify716.0ms

Counts

71 → 71

Iterations

Useful iterations: done (713.0ms)

Iter	Nodes	Cost
0	129	985
1	246	962
2	572	857
3	1554	852
done	5000	849

prune256.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (+ z 6.012459259764103) z 3.350343815022304)
0.1b	(fma z (fma z 0.0692910599291889 0.4917317610505968) 0.279195317918525)
3.5b	(/ y (fma (+ z 6.012459259764103) z 3.350343815022304))
16.4b	(fma (/ y (fma (+ z 6.012459259764103) z 3.350343815022304)) (fma z (fma z 0.0692910599291889 0.4917317610505968) 0.279195317918525) x)

rewrite11.0ms

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 z (fma z 0.0692910599291889 0.4917317610505968) 0.279195317918525)
8.0ms	(/ y (fma (+ z 6.012459259764103) z 3.350343815022304))
0.0ms	(fma (/ y (fma (+ z 6.012459259764103) z 3.350343815022304)) (fma z (fma z 0.0692910599291889 0.4917317610505968) 0.279195317918525) x)

series251.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(fma (+ z 6.012459259764103) z 3.350343815022304)
27.0ms	(fma z (fma z 0.0692910599291889 0.4917317610505968) 0.279195317918525)
65.0ms	(/ y (fma (+ z 6.012459259764103) z 3.350343815022304))
139.0ms	(fma (/ y (fma (+ z 6.012459259764103) z 3.350343815022304)) (fma z (fma z 0.0692910599291889 0.4917317610505968) 0.279195317918525) x)

simplify726.0ms

Counts

71 → 71

Iterations

Useful iterations: done (723.0ms)

Iter	Nodes	Cost
0	129	985
1	246	962
2	572	857
3	1554	852
done	5000	849

prune228.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)
0.2b	(/ 1 (fma (+ z 6.012459259764103) z 3.350343815022304))
3.7b	(* y (/ 1 (fma (+ z 6.012459259764103) z 3.350343815022304)))
16.4b	(fma (* y (/ 1 (fma (+ z 6.012459259764103) z 3.350343815022304))) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
21×	`*-un-lft-identity`
20×	`add-cube-cbrt` `times-frac`
17×	`add-exp-log`
13×	`associate-r`
11×	`add-cbrt-cube`
7×	`pow1`
4×	`expm1-log1p-u` `div-exp` `prod-exp` `log1p-expm1-u` `add-log-exp`
3×	`associate-l` `associate-/r` `associate-/l` `unswap-sqr`
2×	`cbrt-undiv` `rec-exp` `1-exp` `cbrt-unprod` `fma-udef` `div-inv`
1×	`pow-flip` `frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `un-div-inv` `-commutative` `inv-pow`

Counts

4 → 91

Calls

4 calls:

0.0ms	(fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)
5.0ms	(/ 1 (fma (+ z 6.012459259764103) z 3.350343815022304))
14.0ms	(* y (/ 1 (fma (+ z 6.012459259764103) z 3.350343815022304)))
0.0ms	(fma (* y (/ 1 (fma (+ z 6.012459259764103) z 3.350343815022304))) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

series271.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)
40.0ms	(/ 1 (fma (+ z 6.012459259764103) z 3.350343815022304))
62.0ms	(* y (/ 1 (fma (+ z 6.012459259764103) z 3.350343815022304)))
143.0ms	(fma (* y (/ 1 (fma (+ z 6.012459259764103) z 3.350343815022304))) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

simplify1.0s

Counts

103 → 103

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	170	1488
1	358	1308
2	800	1151
3	2085	1143
done	5000	1141

prune280.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

1.9b	(exp (log (fma (+ z 6.012459259764103) z 3.350343815022304)))
3.5b	(/ y (exp (log (fma (+ z 6.012459259764103) z 3.350343815022304))))
15.3b	(log (fma (+ z 6.012459259764103) z 3.350343815022304))
16.4b	(fma (/ y (exp (log (fma (+ z 6.012459259764103) z 3.350343815022304)))) (fma z (fma z 0.0692910599291889 0.4917317610505968) 0.279195317918525) x)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 82

Calls

4 calls:

3.0ms	(exp (log (fma (+ z 6.012459259764103) z 3.350343815022304)))
9.0ms	(/ y (exp (log (fma (+ z 6.012459259764103) z 3.350343815022304))))
1.0ms	(log (fma (+ z 6.012459259764103) z 3.350343815022304))
0.0ms	(fma (/ y (exp (log (fma (+ z 6.012459259764103) z 3.350343815022304)))) (fma z (fma z 0.0692910599291889 0.4917317610505968) 0.279195317918525) x)

series290.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(exp (log (fma (+ z 6.012459259764103) z 3.350343815022304)))
61.0ms	(/ y (exp (log (fma (+ z 6.012459259764103) z 3.350343815022304))))
67.0ms	(log (fma (+ z 6.012459259764103) z 3.350343815022304))
141.0ms	(fma (/ y (exp (log (fma (+ z 6.012459259764103) z 3.350343815022304)))) (fma z (fma z 0.0692910599291889 0.4917317610505968) 0.279195317918525) x)

simplify969.0ms

Counts

94 → 94

Iterations

Useful iterations: done (961.0ms)

Iter	Nodes	Cost
0	180	1536
1	347	1313
2	765	1158
3	1822	1151
done	5001	1121

prune277.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes188.0ms

Accuracy

99.5% (0.1b remaining)

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

bsearch79.0ms

Steps

Iters	Range		Point
5	335341194.4438158	882388454.4280733	352885967.3549199
6	-3.022518570438349e+16	-1948677708542810.2	-2052833865386989.8

simplify4.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	28	47
1	40	39
done	40	39

end0.0ms

sample548.0ms

Algorithm

intervals

Results

310.0ms

8000×

body

valid