Details

sample56.0ms

Algorithm

intervals

Results

27.0ms

256×

body

valid

simplify3.9s

Counts

1 → 1

Iterations

Useful iterations: 3 (52.0ms)

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

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 19.4b

localize22.0ms

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)
5.3b	(/ y (fma (+ z 6.012459259764103) z 3.350343815022304))
19.2b	(fma (/ y (fma (+ z 6.012459259764103) z 3.350343815022304)) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

rewrite25.0ms

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:

10.0ms	(fma (+ z 6.012459259764103) z 3.350343815022304)
1.0ms	(fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)
10.0ms	(/ 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)

series348.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(fma (+ z 6.012459259764103) z 3.350343815022304)
44.0ms	(fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)
92.0ms	(/ y (fma (+ z 6.012459259764103) z 3.350343815022304))
191.0ms	(fma (/ y (fma (+ z 6.012459259764103) z 3.350343815022304)) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

simplify1.2s

Counts

71 → 71

Iterations

Useful iterations: done (1.2s)

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

prune412.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 1 expressions with local error:

0.1b	(fma 0.07512208616047561 (/ y z) (fma y 0.0692910599291889 x))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

1.0ms

(fma 0.07512208616047561 (/ y z) (fma y 0.0692910599291889 x))

series52.0ms

Counts

1 → 3

Calls

1 calls:

52.0ms

(fma 0.07512208616047561 (/ y z) (fma y 0.0692910599291889 x))

simplify1.4s

Counts

13 → 13

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	21	158
1	33	155
2	63	134
3	247	134
4	1628	134
done	5001	121

prune78.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize32.0ms

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)
5.3b	(/ y (fma (+ z 6.012459259764103) z 3.350343815022304))
19.2b	(fma (/ y (fma (+ z 6.012459259764103) z 3.350343815022304)) (fma z (fma z 0.0692910599291889 0.4917317610505968) 0.279195317918525) x)

rewrite14.0ms

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 z (fma z 0.0692910599291889 0.4917317610505968) 0.279195317918525)
10.0ms	(/ y (fma (+ z 6.012459259764103) z 3.350343815022304))
1.0ms	(fma (/ y (fma (+ z 6.012459259764103) z 3.350343815022304)) (fma z (fma z 0.0692910599291889 0.4917317610505968) 0.279195317918525) x)

series436.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(fma (+ z 6.012459259764103) z 3.350343815022304)
52.0ms	(fma z (fma z 0.0692910599291889 0.4917317610505968) 0.279195317918525)
104.0ms	(/ y (fma (+ z 6.012459259764103) z 3.350343815022304))
241.0ms	(fma (/ y (fma (+ z 6.012459259764103) z 3.350343815022304)) (fma z (fma z 0.0692910599291889 0.4917317610505968) 0.279195317918525) x)

simplify1.0s

Counts

71 → 71

Iterations

Useful iterations: done (1.0s)

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

prune383.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma z (fma z 0.0692910599291889 0.4917317610505968) 0.279195317918525)
0.2b	(/ 1 (fma (+ z 6.012459259764103) z 3.350343815022304))
5.3b	(* y (/ 1 (fma (+ z 6.012459259764103) z 3.350343815022304)))
19.2b	(fma (* y (/ 1 (fma (+ z 6.012459259764103) z 3.350343815022304))) (fma z (fma z 0.0692910599291889 0.4917317610505968) 0.279195317918525) x)

rewrite47.0ms

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:

1.0ms	(fma z (fma z 0.0692910599291889 0.4917317610505968) 0.279195317918525)
11.0ms	(/ 1 (fma (+ z 6.012459259764103) z 3.350343815022304))
29.0ms	(* y (/ 1 (fma (+ z 6.012459259764103) z 3.350343815022304)))
1.0ms	(fma (* y (/ 1 (fma (+ z 6.012459259764103) z 3.350343815022304))) (fma z (fma z 0.0692910599291889 0.4917317610505968) 0.279195317918525) x)

series393.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(fma z (fma z 0.0692910599291889 0.4917317610505968) 0.279195317918525)
61.0ms	(/ 1 (fma (+ z 6.012459259764103) z 3.350343815022304))
85.0ms	(* y (/ 1 (fma (+ z 6.012459259764103) z 3.350343815022304)))
219.0ms	(fma (* y (/ 1 (fma (+ z 6.012459259764103) z 3.350343815022304))) (fma z (fma z 0.0692910599291889 0.4917317610505968) 0.279195317918525) x)

simplify1.6s

Counts

103 → 103

Iterations

Useful iterations: done (1.6s)

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

prune514.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes291.0ms

Accuracy

98.7% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 22.6b

bsearch191.0ms

Steps

Iters	Range		Point
8	2.1093622585650095e-09	1.6295748548243586e-06	1.611737647351516e-06
8	-1.4853052640572707e+23	-2.4955120319962723e+20	-2.5222447088418515e+20

simplify10.0ms

Iterations

Useful iterations: 1 (8.0ms)

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

end0.0ms

sample1.8s

Algorithm

intervals

Results

1.4s

8000×

body

valid