Details

sample52.0ms

Algorithm

intervals

Results

25.0ms

510×

body

valid

simplify50.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (7.0ms)

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

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 15.5b

localize14.0ms

Local error

Found 2 expressions with local error:

0.2b	(fma (/ x y) (/ x y) (/ (* z z) (* t t)))
17.4b	(/ (* z z) (* t t))

rewrite22.0ms

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:

1.0ms	(fma (/ x y) (/ x y) (/ (* z z) (* t t)))
19.0ms	(/ (* z z) (* t t))

series227.0ms

Counts

2 → 6

Calls

2 calls:

178.0ms	(fma (/ x y) (/ x y) (/ (* z z) (* t t)))
49.0ms	(/ (* z z) (* t t))

simplify1.2s

Counts

39 → 39

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	66	517
1	193	509
2	1662	387
done	5002	379

prune176.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.2b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

42×	`add-sqr-sqrt`
40×	`times-frac`
30×	`add-cube-cbrt` `*-un-lft-identity`
14×	`add-exp-log` `add-cbrt-cube`
13×	`swap-sqr` `associate-r` `associate-l`
9×	`pow1`
4×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
2×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `*-commutative` `pow-prod-up` `fma-udef`

Counts

2 → 79

Calls

2 calls:

1.0ms	(fma (/ x y) (/ x y) (* (/ z t) (/ z t)))
47.0ms	(* (/ z t) (/ z t))

series201.0ms

Counts

2 → 6

Calls

2 calls:

143.0ms	(fma (/ x y) (/ x y) (* (/ z t) (/ z t)))
57.0ms	(* (/ z t) (/ z t))

simplify2.5s

Counts

85 → 85

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	129	1098
1	425	1016
2	2903	884
done	5001	836

prune337.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.1b

localize29.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (fma (/ x y) (/ x y) (* (/ z t) (/ z t)))) (cbrt (fma (/ x y) (/ x y) (* (/ z t) (/ z t)))))
12.4b	(cbrt (fma (/ x y) (/ x y) (* (/ z t) (/ z t))))
12.4b	(cbrt (fma (/ x y) (/ x y) (* (/ z t) (/ z t))))
12.4b	(cbrt (fma (/ x y) (/ x y) (* (/ z t) (/ z t))))

rewrite17.0ms

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:

12.0ms	(* (cbrt (fma (/ x y) (/ x y) (* (/ z t) (/ z t)))) (cbrt (fma (/ x y) (/ x y) (* (/ z t) (/ z t)))))
1.0ms	(cbrt (fma (/ x y) (/ x y) (* (/ z t) (/ z t))))
1.0ms	(cbrt (fma (/ x y) (/ x y) (* (/ z t) (/ z t))))
1.0ms	(cbrt (fma (/ x y) (/ x y) (* (/ z t) (/ z t))))

series1.5s

Counts

4 → 12

Calls

4 calls:

241.0ms	(* (cbrt (fma (/ x y) (/ x y) (* (/ z t) (/ z t)))) (cbrt (fma (/ x y) (/ x y) (* (/ z t) (/ z t)))))
253.0ms	(cbrt (fma (/ x y) (/ x y) (* (/ z t) (/ z t))))
749.0ms	(cbrt (fma (/ x y) (/ x y) (* (/ z t) (/ z t))))
221.0ms	(cbrt (fma (/ x y) (/ x y) (* (/ z t) (/ z t))))

simplify5.1s

Counts

93 → 93

Iterations

Useful iterations: done (5.1s)

Iter	Nodes	Cost
0	97	2614
1	208	2425
2	657	2029
3	3848	1696
done	5001	1669

prune542.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 0.1b

localize51.0ms

Local error

Found 4 expressions with local error:

3.5b	(cbrt (hypot (/ x y) (/ z t)))
9.1b	(sqrt (fma (/ x y) (/ x y) (* (/ z t) (/ z t))))
12.4b	(cbrt (fma (/ x y) (/ x y) (* (/ z t) (/ z t))))
12.4b	(cbrt (fma (/ x y) (/ x y) (* (/ z t) (/ z t))))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 55

Calls

4 calls:

1.0ms	(cbrt (hypot (/ x y) (/ z t)))
2.0ms	(sqrt (fma (/ x y) (/ x y) (* (/ z t) (/ z t))))
1.0ms	(cbrt (fma (/ x y) (/ x y) (* (/ z t) (/ z t))))
1.0ms	(cbrt (fma (/ x y) (/ x y) (* (/ z t) (/ z t))))

series821.0ms

Counts

4 → 12

Calls

4 calls:

184.0ms	(cbrt (hypot (/ x y) (/ z t)))
143.0ms	(sqrt (fma (/ x y) (/ x y) (* (/ z t) (/ z t))))
204.0ms	(cbrt (fma (/ x y) (/ x y) (* (/ z t) (/ z t))))
290.0ms	(cbrt (fma (/ x y) (/ x y) (* (/ z t) (/ z t))))

simplify2.7s

Counts

67 → 67

Iterations

Useful iterations: 4 (1.4s)

Iter	Nodes	Cost
0	85	1162
1	146	1105
2	305	865
3	963	850
4	4605	709
done	5000	709

prune541.0ms

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 0.0b

regimes842.0ms

Accuracy

0% (1.1b remaining)

Error of 1.2b against oracle of 0.1b and baseline of 1.2b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	47
1	12	47
done	12	47

end0.0ms

sample2.5s

Algorithm

intervals

Results

1.6s

15558×

body

valid