Details

sample27.0ms

Algorithm

intervals

Results

16.0ms

304×

body

valid

simplify97.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	79
6	79
5	78
4	71
3	58
2	35
1	16
0	7

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.7b

localize13.0ms

Local error

Found 1 expressions with local error:

9.7b	(/ (* a1 a2) (* b1 b2))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-cbrt-cube` `add-exp-log`
4×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod`
1×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `clear-num` `associate-/r` `frac-2neg` `-un-lft-identity` `times-frac` `add-cube-cbrt` `insert-posit16` `log1p-expm1-u` `div-inv` `associate-/l*` `add-log-exp`

Counts

1 → 24

Calls

1 calls:

19.0ms

(/ (* a1 a2) (* b1 b2))

series49.0ms

Counts

1 → 3

Calls

1 calls:

49.0ms

(/ (* a1 a2) (* b1 b2))

simplify1.7s

Counts

27 → 27

Iterations

Iter	Nodes
done	5000
2	915
1	166
0	58

prune148.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 1 expressions with local error:

9.8b	(* (/ a1 b1) (/ a2 b2))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
22×	`times-frac`
15×	`*-un-lft-identity` `add-cube-cbrt`
13×	`add-cbrt-cube` `associate-r` `associate-l` `add-exp-log`
4×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `unswap-sqr`
3×	`pow1`
2×	`div-inv`
1×	`expm1-log1p-u` `frac-times` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

1 → 53

Calls

1 calls:

15.0ms

(* (/ a1 b1) (/ a2 b2))

series40.0ms

Counts

1 → 3

Calls

1 calls:

40.0ms

(* (/ a1 b1) (/ a2 b2))

simplify2.8s

Counts

56 → 56

Iterations

Iter	Nodes
done	5004
3	4320
2	1089
1	328
0	114

prune285.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt b2)
0.9b	(/ b1 (* (/ (cbrt a2) (cbrt b2)) (/ (cbrt a2) (cbrt b2))))
0.9b	(* (/ a1 (/ b1 (* (/ (cbrt a2) (cbrt b2)) (/ (cbrt a2) (cbrt b2))))) (/ (cbrt a2) (cbrt b2)))
4.8b	(/ a1 (/ b1 (* (/ (cbrt a2) (cbrt b2)) (/ (cbrt a2) (cbrt b2)))))

rewrite120.0ms

Algorithm

rewrite-expression-head

Rules

147×	`times-frac`
120×	`add-sqr-sqrt` `add-exp-log`
74×	`add-cbrt-cube`
68×	`*-un-lft-identity` `add-cube-cbrt`
61×	`cbrt-undiv` `div-exp`
51×	`cbrt-prod`
40×	`associate-r`
35×	`associate-l`
30×	`prod-exp` `cbrt-unprod`
26×	`associate-/r/`
15×	`unswap-sqr`
11×	`associate-/r*` `div-inv`
9×	`frac-times` `associate-l/` `associate-r/`
6×	`pow1` `associate-/l*`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`clear-num` `frac-2neg`
1×	`pow1/3` `pow-prod-down` `*-commutative`

Counts

4 → 249

Calls

4 calls:

1.0ms	(cbrt b2)
19.0ms	(/ b1 (* (/ (cbrt a2) (cbrt b2)) (/ (cbrt a2) (cbrt b2))))
67.0ms	(* (/ a1 (/ b1 (* (/ (cbrt a2) (cbrt b2)) (/ (cbrt a2) (cbrt b2))))) (/ (cbrt a2) (cbrt b2)))
26.0ms	(/ a1 (/ b1 (* (/ (cbrt a2) (cbrt b2)) (/ (cbrt a2) (cbrt b2)))))

series493.0ms

Counts

4 → 12

Calls

4 calls:

242.0ms	(cbrt b2)
114.0ms	(/ b1 (* (/ (cbrt a2) (cbrt b2)) (/ (cbrt a2) (cbrt b2))))
37.0ms	(* (/ a1 (/ b1 (* (/ (cbrt a2) (cbrt b2)) (/ (cbrt a2) (cbrt b2))))) (/ (cbrt a2) (cbrt b2)))
99.0ms	(/ a1 (/ b1 (* (/ (cbrt a2) (cbrt b2)) (/ (cbrt a2) (cbrt b2)))))

simplify3.4s

Counts

261 → 261

Iterations

Iter	Nodes
done	5001
2	4887
1	1319
0	406

prune1.6s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt b2)
0.9b	(* (/ 1 (/ 1 (/ (cbrt a2) (cbrt b2)))) (* (/ a1 (/ b1 (/ (cbrt a2) (cbrt b2)))) (/ (cbrt a2) (cbrt b2))))
2.9b	(/ a1 (/ b1 (/ (cbrt a2) (cbrt b2))))
3.0b	(* (/ a1 (/ b1 (/ (cbrt a2) (cbrt b2)))) (/ (cbrt a2) (cbrt b2)))

rewrite259.0ms

Algorithm

rewrite-expression-head

Rules

3544×	`times-frac`
1741×	`add-sqr-sqrt`
1568×	`*-un-lft-identity` `add-cube-cbrt`
1167×	`cbrt-prod` `add-exp-log`
760×	`associate-l`
689×	`div-exp`
382×	`prod-exp`
187×	`add-cbrt-cube`
140×	`cbrt-undiv`
125×	`associate-/r*`
117×	`rec-exp` `1-exp`
76×	`cbrt-unprod`
44×	`div-inv`
41×	`associate-r`
35×	`unswap-sqr`
13×	`associate-/r/`
11×	`pow1`
6×	`frac-times` `associate-*r/`
4×	`expm1-log1p-u` `pow-prod-down` `associate-*l/` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`associate-/l*`
2×	`*-commutative`
1×	`clear-num` `frac-2neg` `pow1/3`

Counts

4 → 1658

Calls

4 calls:

2.0ms	(cbrt b2)
108.0ms	(* (/ 1 (/ 1 (/ (cbrt a2) (cbrt b2)))) (* (/ a1 (/ b1 (/ (cbrt a2) (cbrt b2)))) (/ (cbrt a2) (cbrt b2))))
19.0ms	(/ a1 (/ b1 (/ (cbrt a2) (cbrt b2))))
47.0ms	(* (/ a1 (/ b1 (/ (cbrt a2) (cbrt b2)))) (/ (cbrt a2) (cbrt b2)))

series576.0ms

Counts

4 → 12

Calls

4 calls:

274.0ms	(cbrt b2)
40.0ms	(* (/ 1 (/ 1 (/ (cbrt a2) (cbrt b2)))) (* (/ a1 (/ b1 (/ (cbrt a2) (cbrt b2)))) (/ (cbrt a2) (cbrt b2))))
119.0ms	(/ a1 (/ b1 (/ (cbrt a2) (cbrt b2))))
143.0ms	(* (/ a1 (/ b1 (/ (cbrt a2) (cbrt b2)))) (/ (cbrt a2) (cbrt b2)))

simplify4.7s

Counts

1670 → 1670

Iterations

Iter	Nodes
done	5000
0	2031

prune12.8s

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes551.0ms

Accuracy

32.6% (4.3b remaining)

Error of 4.3b against oracle of 0.0b and baseline of 6.4b

bsearch2.0ms

simplify8.0ms

Iterations

Iter	Nodes
done	46
1	46
0	37

end0.0ms

sample1.1s

Algorithm

intervals

Results

759.0ms

9990×

body

valid