Details

sample35.0ms

Algorithm

intervals

Results

17.0ms

487×

body

valid

simplify30.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	11	15
1	24	15
2	44	14
3	58	14
4	60	14
done	60	14

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 17.8b

localize9.0ms

Local error

Found 2 expressions with local error:

0.3b	(fma (/ x y) (/ x y) (/ (* z z) (* t t)))
20.4b	(/ (* z z) (* t t))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 33

Calls

2 calls:

0.0ms	(fma (/ x y) (/ x y) (/ (* z z) (* t t)))
5.0ms	(/ (* z z) (* t t))

series154.0ms

Counts

2 → 6

Calls

2 calls:

120.0ms	(fma (/ x y) (/ x y) (/ (* z z) (* t t)))
33.0ms	(/ (* z z) (* t t))

simplify429.0ms

Counts

39 → 39

Iterations

Useful iterations: done (428.0ms)

Iter	Nodes	Cost
0	66	517
1	172	509
2	713	379
done	5000	374

prune116.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.2b

localize9.0ms

Local error

Found 2 expressions with local error:

0.3b	(fma (/ x y) (/ x y) (* (fabs (/ z t)) (fabs (/ z t))))
0.3b	(* (fabs (/ z t)) (fabs (/ z t)))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1`
8×	`add-sqr-sqrt`
6×	`add-cube-cbrt` `*-un-lft-identity`
4×	`add-exp-log` `add-cbrt-cube`
3×	`swap-sqr` `associate-r` `associate-l`
2×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
1×	`pow2` `pow-plus` `pow-prod-down` `prod-exp` `pow-sqr` `*-commutative` `pow-prod-up` `cbrt-unprod` `fma-udef` `unswap-sqr`

Counts

2 → 37

Calls

2 calls:

0.0ms	(fma (/ x y) (/ x y) (* (fabs (/ z t)) (fabs (/ z t))))
3.0ms	(* (fabs (/ z t)) (fabs (/ z t)))

series48.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(fma (/ x y) (/ x y) (* (fabs (/ z t)) (fabs (/ z t))))
13.0ms	(* (fabs (/ z t)) (fabs (/ z t)))

simplify1.4s

Counts

43 → 43

Iterations

Useful iterations: 3 (179.0ms)

Iter	Nodes	Cost
0	53	600
1	94	464
2	317	383
3	1399	367
done	5001	367

prune125.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.2b

localize13.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (fma (/ x y) (/ x y) (pow (fabs (/ z t)) 2))) (cbrt (fma (/ x y) (/ x y) (pow (fabs (/ z t)) 2))))
9.9b	(cbrt (fma (/ x y) (/ x y) (pow (fabs (/ z t)) 2)))
9.9b	(cbrt (fma (/ x y) (/ x y) (pow (fabs (/ z t)) 2)))
9.9b	(cbrt (fma (/ x y) (/ x y) (pow (fabs (/ z t)) 2)))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

5.0ms	(* (cbrt (fma (/ x y) (/ x y) (pow (fabs (/ z t)) 2))) (cbrt (fma (/ x y) (/ x y) (pow (fabs (/ z t)) 2))))
0.0ms	(cbrt (fma (/ x y) (/ x y) (pow (fabs (/ z t)) 2)))
0.0ms	(cbrt (fma (/ x y) (/ x y) (pow (fabs (/ z t)) 2)))
1.0ms	(cbrt (fma (/ x y) (/ x y) (pow (fabs (/ z t)) 2)))

series522.0ms

Counts

4 → 12

Calls

4 calls:

139.0ms	(* (cbrt (fma (/ x y) (/ x y) (pow (fabs (/ z t)) 2))) (cbrt (fma (/ x y) (/ x y) (pow (fabs (/ z t)) 2))))
128.0ms	(cbrt (fma (/ x y) (/ x y) (pow (fabs (/ z t)) 2)))
132.0ms	(cbrt (fma (/ x y) (/ x y) (pow (fabs (/ z t)) 2)))
123.0ms	(cbrt (fma (/ x y) (/ x y) (pow (fabs (/ z t)) 2)))

simplify1.8s

Counts

93 → 93

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	89	2448
1	179	2275
2	606	1937
3	2752	1628
done	5000	1624

prune372.0ms

Pruning

17 alts after pruning (15 fresh and 2 done)

Merged error: 0.1b

localize22.0ms

Local error

Found 4 expressions with local error:

2.8b	(cbrt (hypot (/ x y) (fabs (/ z t))))
9.9b	(cbrt (fma (/ x y) (/ x y) (pow (fabs (/ z t)) 2)))
9.9b	(cbrt (fma (/ x y) (/ x y) (pow (fabs (/ z t)) 2)))
9.9b	(cbrt (fma (/ x y) (/ x y) (pow (fabs (/ z t)) 2)))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 52

Calls

4 calls:

0.0ms	(cbrt (hypot (/ x y) (fabs (/ z t))))
0.0ms	(cbrt (fma (/ x y) (/ x y) (pow (fabs (/ z t)) 2)))
0.0ms	(cbrt (fma (/ x y) (/ x y) (pow (fabs (/ z t)) 2)))
1.0ms	(cbrt (fma (/ x y) (/ x y) (pow (fabs (/ z t)) 2)))

series510.0ms

Counts

4 → 12

Calls

4 calls:

130.0ms	(cbrt (hypot (/ x y) (fabs (/ z t))))
127.0ms	(cbrt (fma (/ x y) (/ x y) (pow (fabs (/ z t)) 2)))
124.0ms	(cbrt (fma (/ x y) (/ x y) (pow (fabs (/ z t)) 2)))
127.0ms	(cbrt (fma (/ x y) (/ x y) (pow (fabs (/ z t)) 2)))

simplify3.3s

Counts

64 → 64

Iterations

Useful iterations: 4 (499.0ms)

Iter	Nodes	Cost
0	67	1144
1	120	1116
2	253	962
3	921	944
4	4121	928
done	5000	928

prune315.0ms

Pruning

19 alts after pruning (17 fresh and 2 done)

Merged error: 0.1b

regimes992.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	16
done	9	16

end0.0ms

sample942.0ms

Algorithm

intervals

Results

544.0ms

15275×

body

valid