Details

sample49.0ms

Algorithm

intervals

Results

15.0ms

256×

body

valid

simplify4.1s

Counts

1 → 1

Iterations

Useful iterations: 3 (32.0ms)

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

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 16.7b

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)
4.0b	(/ 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)

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 (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)

series421.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(fma (+ z 6.012459259764103) z 3.350343815022304)
46.0ms	(fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)
98.0ms	(/ y (fma (+ z 6.012459259764103) z 3.350343815022304))
239.0ms	(fma (/ y (fma (+ z 6.012459259764103) z 3.350343815022304)) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

simplify1.3s

Counts

71 → 71

Iterations

Useful iterations: done (1.3s)

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

prune416.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize47.0ms

Local error

Found 4 expressions with local error:

15.9b	(cbrt (fma (+ z 6.012459259764103) z 3.350343815022304))
15.9b	(cbrt (fma (+ z 6.012459259764103) z 3.350343815022304))
15.9b	(cbrt (fma (+ z 6.012459259764103) z 3.350343815022304))
16.4b	(fma (* (/ 1 (* (cbrt (fma (+ z 6.012459259764103) z 3.350343815022304)) (cbrt (fma (+ z 6.012459259764103) z 3.350343815022304)))) (/ y (cbrt (fma (+ z 6.012459259764103) z 3.350343815022304)))) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 49

Calls

4 calls:

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

series555.0ms

Counts

4 → 12

Calls

4 calls:

154.0ms	(cbrt (fma (+ z 6.012459259764103) z 3.350343815022304))
133.0ms	(cbrt (fma (+ z 6.012459259764103) z 3.350343815022304))
138.0ms	(cbrt (fma (+ z 6.012459259764103) z 3.350343815022304))
129.0ms	(fma (* (/ 1 (* (cbrt (fma (+ z 6.012459259764103) z 3.350343815022304)) (cbrt (fma (+ z 6.012459259764103) z 3.350343815022304)))) (/ y (cbrt (fma (+ z 6.012459259764103) z 3.350343815022304)))) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

simplify1.7s

Counts

61 → 61

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	93	1190
1	197	1155
2	503	1008
3	1549	803
done	5000	797

prune406.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

15.9b	(cbrt (fma (+ z 6.012459259764103) z 3.350343815022304))
15.9b	(cbrt (fma (+ z 6.012459259764103) z 3.350343815022304))
15.9b	(cbrt (fma (+ z 6.012459259764103) z 3.350343815022304))
16.4b	(fma (* (/ 1 (* (cbrt (fma (+ z 6.012459259764103) z 3.350343815022304)) (expm1 (log1p (cbrt (fma (+ z 6.012459259764103) z 3.350343815022304)))))) (/ y (cbrt (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

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

Counts

4 → 49

Calls

4 calls:

2.0ms	(cbrt (fma (+ z 6.012459259764103) z 3.350343815022304))
2.0ms	(cbrt (fma (+ z 6.012459259764103) z 3.350343815022304))
2.0ms	(cbrt (fma (+ z 6.012459259764103) z 3.350343815022304))
1.0ms	(fma (* (/ 1 (* (cbrt (fma (+ z 6.012459259764103) z 3.350343815022304)) (expm1 (log1p (cbrt (fma (+ z 6.012459259764103) z 3.350343815022304)))))) (/ y (cbrt (fma (+ z 6.012459259764103) z 3.350343815022304)))) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

series1.8s

Counts

4 → 12

Calls

4 calls:

158.0ms	(cbrt (fma (+ z 6.012459259764103) z 3.350343815022304))
158.0ms	(cbrt (fma (+ z 6.012459259764103) z 3.350343815022304))
169.0ms	(cbrt (fma (+ z 6.012459259764103) z 3.350343815022304))
1.3s	(fma (* (/ 1 (* (cbrt (fma (+ z 6.012459259764103) z 3.350343815022304)) (expm1 (log1p (cbrt (fma (+ z 6.012459259764103) z 3.350343815022304)))))) (/ y (cbrt (fma (+ z 6.012459259764103) z 3.350343815022304)))) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

simplify1.7s

Counts

61 → 61

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	98	1224
1	212	1161
2	555	1015
3	1797	809
done	5000	800

prune463.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304)))
0.1b	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
2.9b	(* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))
21.3b	(/ (* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

rewrite222.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`add-exp-log` `*-un-lft-identity` `add-cbrt-cube`
11×	`add-cube-cbrt`
8×	`pow1`
6×	`associate-r` `associate-l` `add-log-exp`
5×	`flip3-+` `flip-+`
4×	`expm1-log1p-u` `associate-*r/` `log1p-expm1-u`
3×	`fma-def` `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` `frac-2neg` `distribute-lft-in` `clear-num` `sum-log` `div-inv` `distribute-lft-out` `associate-/l*`

Counts

4 → 90

Calls

4 calls:

43.0ms	(+ x (/ (* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304)))
49.0ms	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
68.0ms	(* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))
60.0ms	(/ (* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

series714.0ms

Counts

4 → 12

Calls

4 calls:

317.0ms	(+ x (/ (* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304)))
112.0ms	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
89.0ms	(* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))
197.0ms	(/ (* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

simplify1.7s

Counts

102 → 102

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	197	1929
1	558	1589
2	2015	1416
done	5001	1401

prune486.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes173.0ms

Accuracy

99.6% (0.1b remaining)

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

bsearch221.0ms

Steps

Iters	Range		Point
10	2.0242002588965284e-06	3744461241692.0635	267536142.1045785
8	-1.9170458549378776e+46	-6.2771785858587615e+41	-5.1101879338243554e+45

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	25	44
1	31	36
done	31	36

end0.0ms

sample1.7s

Algorithm

intervals

Results

1.3s

8000×

body

valid