Details

sample46.0ms

Algorithm

intervals

Results

21.0ms

256×

body

valid

simplify7.1s

Counts

1 → 1

Iterations

Useful iterations: 3 (27.0ms)

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

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 14.9b

localize38.0ms

Local error

Found 3 expressions with local error:

0.1b

(fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)

2.3b

(/ y (fma (+ z 6.012459259764103) z 3.350343815022304))

14.7b

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

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
5×	`add-exp-log` `add-cbrt-cube`
3×	`pow1` `expm1-log1p-u` `associate-/r` `log1p-expm1-u` `associate-/l` `add-log-exp`
2×	`fma-udef`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv`

Counts

3 → 49

Calls

3 calls:

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)

series337.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms

(fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)

82.0ms

(/ y (fma (+ z 6.012459259764103) z 3.350343815022304))

210.0ms

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

simplify2.9s

Counts

58 → 58

Iterations

Useful iterations: done (2.9s)

Iter	Nodes	Cost
0	122	869
1	238	849
2	730	768
3	3199	760
done	5001	756

prune304.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)
0.3b	(/ 1 (fma (+ z 6.012459259764103) z 3.350343815022304))
2.5b	(* y (/ 1 (fma (+ z 6.012459259764103) z 3.350343815022304)))
14.7b	(fma (* y (/ 1 (fma (+ z 6.012459259764103) z 3.350343815022304))) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

rewrite42.0ms

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)
6.0ms	(/ 1 (fma (+ z 6.012459259764103) z 3.350343815022304))
32.0ms	(* y (/ 1 (fma (+ z 6.012459259764103) z 3.350343815022304)))
1.0ms	(fma (* y (/ 1 (fma (+ z 6.012459259764103) z 3.350343815022304))) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

series395.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)
56.0ms	(/ 1 (fma (+ z 6.012459259764103) z 3.350343815022304))
97.0ms	(* y (/ 1 (fma (+ z 6.012459259764103) z 3.350343815022304)))
202.0ms	(fma (* y (/ 1 (fma (+ z 6.012459259764103) z 3.350343815022304))) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

simplify819.0ms

Counts

103 → 103

Iterations

Useful iterations: done (813.0ms)

Iter	Nodes	Cost
0	170	1488
1	378	1377
2	1417	1161
done	5001	1150

prune442.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize31.0ms

Local error

Found 3 expressions with local error:

0.1b

(fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)

2.3b

(/ y (fma (+ z 6.012459259764103) z 3.350343815022304))

14.7b

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

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
5×	`add-exp-log` `add-cbrt-cube`
3×	`pow1` `expm1-log1p-u` `associate-/r` `log1p-expm1-u` `associate-/l` `add-log-exp`
2×	`fma-udef`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv`

Counts

3 → 49

Calls

3 calls:

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)

series338.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms

(fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)

103.0ms

(/ y (fma (+ z 6.012459259764103) z 3.350343815022304))

192.0ms

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

simplify2.8s

Counts

58 → 58

Iterations

Useful iterations: done (2.7s)

Iter	Nodes	Cost
0	122	869
1	238	849
2	730	768
3	3199	760
done	5001	756

prune297.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt y)
13.8b	(sqrt (fma (+ z 6.012459259764103) z 3.350343815022304))
13.8b	(sqrt (fma (+ z 6.012459259764103) z 3.350343815022304))
14.7b	(fma (* (/ (* (cbrt y) (cbrt y)) (sqrt (fma (+ z 6.012459259764103) z 3.350343815022304))) (/ (cbrt y) (sqrt (fma (+ z 6.012459259764103) z 3.350343815022304)))) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt`
7×	`add-cube-cbrt` `*-un-lft-identity`
6×	`pow1` `sqrt-prod`
4×	`add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`
1×	`pow1/3` `fma-udef`

Counts

4 → 53

Calls

4 calls:

1.0ms	(cbrt y)
2.0ms	(sqrt (fma (+ z 6.012459259764103) z 3.350343815022304))
2.0ms	(sqrt (fma (+ z 6.012459259764103) z 3.350343815022304))
0.0ms	(fma (* (/ (* (cbrt y) (cbrt y)) (sqrt (fma (+ z 6.012459259764103) z 3.350343815022304))) (/ (cbrt y) (sqrt (fma (+ z 6.012459259764103) z 3.350343815022304)))) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

series623.0ms

Counts

4 → 12

Calls

4 calls:

253.0ms	(cbrt y)
78.0ms	(sqrt (fma (+ z 6.012459259764103) z 3.350343815022304))
90.0ms	(sqrt (fma (+ z 6.012459259764103) z 3.350343815022304))
203.0ms	(fma (* (/ (* (cbrt y) (cbrt y)) (sqrt (fma (+ z 6.012459259764103) z 3.350343815022304))) (/ (cbrt y) (sqrt (fma (+ z 6.012459259764103) z 3.350343815022304)))) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

simplify1.4s

Counts

65 → 65

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	103	934
1	207	884
2	572	770
3	2294	598
done	5000	596

prune861.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes281.0ms

Accuracy

99.2% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 17.3b

bsearch218.0ms

Steps

Iters	Range		Point
10	1.5458422377508842e-07	805653349.9608173	172201367.591866
7	-2.1347012801512736e+25	-3.078212083420676e+23	-3.1500524973309695e+23

simplify8.0ms

Iterations

Useful iterations: 1 (4.0ms)

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

end0.0ms

sample1.3s

Algorithm

intervals

Results

868.0ms

8000×

body

valid