Details

sample80.0ms

Algorithm

intervals

Results

46.0ms

494×

body

valid

simplify37.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (8.0ms)

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

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 17.5b

localize12.0ms

Local error

Found 2 expressions with local error:

0.2b	(fma (/ x y) (/ x y) (/ (* z z) (* t t)))
19.8b	(/ (* z z) (* t t))

rewrite23.0ms

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)))
22.0ms	(/ (* z z) (* t t))

series155.0ms

Counts

2 → 6

Calls

2 calls:

127.0ms	(fma (/ x y) (/ x y) (/ (* z z) (* t t)))
28.0ms	(/ (* z z) (* t t))

simplify4.2s

Counts

39 → 39

Iterations

Useful iterations: done (4.2s)

Iter	Nodes	Cost
0	66	517
1	153	509
2	520	379
3	2009	364
done	5000	354

prune108.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.2b

localize16.0ms

Local error

Found 2 expressions with local error:

0.2b	(fma (/ x y) (/ x y) (* (fabs (/ z t)) (fabs (/ z t))))
0.3b	(* (fabs (/ z t)) (fabs (/ z t)))

rewrite8.0ms

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))))
7.0ms	(* (fabs (/ z t)) (fabs (/ z t)))

series74.0ms

Counts

2 → 6

Calls

2 calls:

64.0ms	(fma (/ x y) (/ x y) (* (fabs (/ z t)) (fabs (/ z t))))
10.0ms	(* (fabs (/ z t)) (fabs (/ z t)))

simplify2.2s

Counts

43 → 43

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	53	600
1	92	464
2	213	383
3	573	367
4	1968	359
done	5000	355

prune186.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize40.0ms

Local error

Found 4 expressions with local error:

0.2b	(fma (/ x y) (/ x y) (* (pow (fabs (/ z t)) 3/2) (sqrt (fabs (/ z t)))))
0.2b	(* (pow (fabs (/ z t)) 3/2) (sqrt (fabs (/ z t))))
0.2b	(pow (fabs (/ z t)) 3/2)
9.9b	(sqrt (fabs (/ z t)))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt`
11×	`add-cube-cbrt` `*-un-lft-identity`
10×	`add-exp-log`
9×	`sqrt-prod`
8×	`unpow-prod-down`
7×	`pow1` `associate-l`
6×	`associate-r` `add-cbrt-cube` `unswap-sqr`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `sqr-pow`
3×	`pow-unpow` `prod-exp`
2×	`pow-to-exp` `sqrt-pow1` `pow1/2` `pow-exp` `pow-prod-up`
1×	`rem-sqrt-square` `pow-pow` `*-commutative` `cbrt-unprod` `fma-udef`

Counts

4 → 79

Calls

4 calls:

1.0ms	(fma (/ x y) (/ x y) (* (pow (fabs (/ z t)) 3/2) (sqrt (fabs (/ z t)))))
29.0ms	(* (pow (fabs (/ z t)) 3/2) (sqrt (fabs (/ z t))))
5.0ms	(pow (fabs (/ z t)) 3/2)
3.0ms	(sqrt (fabs (/ z t)))

series178.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(fma (/ x y) (/ x y) (* (pow (fabs (/ z t)) 3/2) (sqrt (fabs (/ z t)))))
17.0ms	(* (pow (fabs (/ z t)) 3/2) (sqrt (fabs (/ z t))))
90.0ms	(pow (fabs (/ z t)) 3/2)
18.0ms	(sqrt (fabs (/ z t)))

simplify2.2s

Counts

91 → 91

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	97	1223
1	183	1126
2	445	1060
3	1512	900
done	5001	858

prune340.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* (fabs (/ z t)) (sqrt (fabs (/ z t)))) (sqrt (fabs (/ z t))))
0.2b	(* (fabs (/ z t)) (sqrt (fabs (/ z t))))
9.9b	(sqrt (fabs (/ z t)))
9.9b	(sqrt (fabs (/ z t)))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

25×	`pow1`
20×	`add-sqr-sqrt`
13×	`sqrt-prod`
12×	`associate-r`
11×	`add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `pow-prod-up` `add-cbrt-cube`
7×	`sqrt-pow1` `pow1/2`
4×	`expm1-log1p-u` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`pow3`
2×	`rem-sqrt-square` `*-commutative` `unswap-sqr`
1×	`pow-plus`

Counts

4 → 86

Calls

4 calls:

27.0ms	(* (* (fabs (/ z t)) (sqrt (fabs (/ z t)))) (sqrt (fabs (/ z t))))
16.0ms	(* (fabs (/ z t)) (sqrt (fabs (/ z t))))
1.0ms	(sqrt (fabs (/ z t)))
1.0ms	(sqrt (fabs (/ z t)))

series58.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(* (* (fabs (/ z t)) (sqrt (fabs (/ z t)))) (sqrt (fabs (/ z t))))
27.0ms	(* (fabs (/ z t)) (sqrt (fabs (/ z t))))
9.0ms	(sqrt (fabs (/ z t)))
10.0ms	(sqrt (fabs (/ z t)))

simplify2.2s

Counts

98 → 98

Iterations

Useful iterations: 4 (1.0s)

Iter	Nodes	Cost
0	75	1161
1	155	789
2	385	683
3	698	667
4	1378	648
done	5001	648

prune300.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.1b

regimes213.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	23
1	13	23
done	13	23

end0.0ms

sample2.2s

Algorithm

intervals

Results

1.3s

15672×

body

valid