Details

sample50.0ms

Algorithm

intervals

Results

23.0ms

256×

body

valid

simplify10.3s

Counts

1 → 1

Iterations

Useful iterations: 3 (64.0ms)

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

prune38.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 16.9b

localize42.0ms

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)
3.7b	(/ y (fma (+ z 6.012459259764103) z 3.350343815022304))
17.0b	(fma (/ y (fma (+ z 6.012459259764103) z 3.350343815022304)) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

rewrite17.0ms

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 (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)
12.0ms	(/ 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)

series603.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(fma (+ z 6.012459259764103) z 3.350343815022304)
61.0ms	(fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)
137.0ms	(/ y (fma (+ z 6.012459259764103) z 3.350343815022304))
361.0ms	(fma (/ y (fma (+ z 6.012459259764103) z 3.350343815022304)) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

simplify3.8s

Counts

71 → 71

Iterations

Useful iterations: done (3.8s)

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

prune725.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize50.0ms

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)
3.7b	(/ y (fma (+ z 6.012459259764103) z 3.350343815022304))
17.0b	(fma (/ y (fma (+ z 6.012459259764103) z 3.350343815022304)) (fma z (fma z 0.0692910599291889 0.4917317610505968) 0.279195317918525) x)

rewrite15.0ms

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)
11.0ms	(/ 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)

series516.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(fma (+ z 6.012459259764103) z 3.350343815022304)
51.0ms	(fma z (fma z 0.0692910599291889 0.4917317610505968) 0.279195317918525)
130.0ms	(/ y (fma (+ z 6.012459259764103) z 3.350343815022304))
290.0ms	(fma (/ y (fma (+ z 6.012459259764103) z 3.350343815022304)) (fma z (fma z 0.0692910599291889 0.4917317610505968) 0.279195317918525) x)

simplify3.9s

Counts

71 → 71

Iterations

Useful iterations: done (3.9s)

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

prune668.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize49.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma z (fma z 0.0692910599291889 0.4917317610505968) 0.279195317918525)
0.8b	(/ 1 (fma (+ z 6.012459259764103) z 3.350343815022304))
3.8b	(* y (/ 1 (fma (+ z 6.012459259764103) z 3.350343815022304)))
17.0b	(fma (* y (/ 1 (fma (+ z 6.012459259764103) z 3.350343815022304))) (fma z (fma z 0.0692910599291889 0.4917317610505968) 0.279195317918525) x)

rewrite48.0ms

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))
30.0ms	(* 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)

series582.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(fma z (fma z 0.0692910599291889 0.4917317610505968) 0.279195317918525)
77.0ms	(/ 1 (fma (+ z 6.012459259764103) z 3.350343815022304))
131.0ms	(* y (/ 1 (fma (+ z 6.012459259764103) z 3.350343815022304)))
319.0ms	(fma (* y (/ 1 (fma (+ z 6.012459259764103) z 3.350343815022304))) (fma z (fma z 0.0692910599291889 0.4917317610505968) 0.279195317918525) x)

simplify1.3s

Counts

103 → 103

Iterations

Useful iterations: done (1.3s)

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

prune869.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize54.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* z 0.0692910599291889) 0.4917317610505968)
0.1b	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
5.0b	(* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))
20.4b	(/ (* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

rewrite316.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
13×	`add-exp-log` `add-cbrt-cube`
10×	`add-cube-cbrt` `*-un-lft-identity`
8×	`pow1`
6×	`associate-r` `associate-l` `add-log-exp`
5×	`flip3-+` `flip-+`
4×	`expm1-log1p-u` `associate-*r/` `log1p-expm1-u`
3×	`times-frac` `prod-exp` `associate-/r*` `cbrt-unprod`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-l/` `associate-/r/` `-commutative` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `distribute-rgt-in` `fma-def` `frac-2neg` `distribute-lft-in` `clear-num` `sum-log` `div-inv` `associate-/l*`

Counts

4 → 87

Calls

4 calls:

26.0ms	(+ (* z 0.0692910599291889) 0.4917317610505968)
60.0ms	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
115.0ms	(* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))
108.0ms	(/ (* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

series697.0ms

Counts

4 → 12

Calls

4 calls:

88.0ms	(+ (* z 0.0692910599291889) 0.4917317610505968)
165.0ms	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
145.0ms	(* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))
298.0ms	(/ (* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

simplify2.8s

Counts

99 → 99

Iterations

Useful iterations: done (2.8s)

Iter	Nodes	Cost
0	181	1570
1	522	1325
2	2464	1178
done	5001	1167

prune864.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes410.0ms

Accuracy

98.6% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 16.4b

bsearch349.0ms

Steps

Iters	Range		Point
9	2.1029524275586133e-07	0.013914501587729765	0.013792301790309372
9	-61103069922141.06	-44869037.468994394	-329047060.5843957

simplify7.0ms

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	27	53
1	33	45
done	33	45

end0.0ms

sample2.2s

Algorithm

intervals

Results

1.7s

8000×

body

valid