Details

sample47.0ms

Algorithm

intervals

Results

16.0ms	301×	body	80	valid
9.0ms	255×	body	80	nan

simplify3.8s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
7	4526
6	2495
5	1087
4	364
3	123
2	57
1	26
0	11

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize28.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (log z) (- 1.0 z))
0.1b	(fma y (+ (log z) (- 1.0 z)) (* x 0.5))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

18×	`*-un-lft-identity`
11×	`associate-+r+`
10×	`add-sqr-sqrt` `add-cube-cbrt`
9×	`prod-diff`
5×	`pow1` `add-log-exp`
4×	`fma-def` `distribute-lft-out`
3×	`associate-+l+` `log-prod` `log-pow`
2×	`expm1-log1p-u` `sum-log` `add-cbrt-cube` `add-exp-log` `log1p-expm1-u` `distribute-lft-out--`
1×	`+-commutative` `associate-+r-` `sub-neg` `flip3-+` `diff-log` `flip-+` `fma-udef`

Counts

2 → 47

Calls

2 calls:

28.0ms	(+ (log z) (- 1.0 z))
1.0ms	(fma y (+ (log z) (- 1.0 z)) (* x 0.5))

series358.0ms

Counts

2 → 6

Calls

2 calls:

282.0ms	(+ (log z) (- 1.0 z))
76.0ms	(fma y (+ (log z) (- 1.0 z)) (* x 0.5))

simplify882.0ms

Counts

53 → 53

Iterations

Iter	Nodes
done	5000
2	932
1	273
0	110

prune312.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt z) (cbrt z))
0.5b	(cbrt z)
0.5b	(cbrt z)
0.5b	(cbrt z)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
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:

9.0ms	(* (cbrt z) (cbrt z))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series1.2s

Counts

4 → 12

Calls

4 calls:

299.0ms	(* (cbrt z) (cbrt z))
341.0ms	(cbrt z)
278.0ms	(cbrt z)
291.0ms	(cbrt z)

simplify1.4s

Counts

93 → 93

Iterations

Iter	Nodes
done	5001
2	725
1	142
0	65

prune777.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize88.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt z) (cbrt z))
0.5b	(cbrt z)
0.5b	(cbrt z)
5.1b	(pow z 1/3)

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
22×	`cbrt-prod`
16×	`*-un-lft-identity` `add-cube-cbrt`
12×	`pow1`
8×	`pow1/3`
7×	`add-exp-log`
6×	`swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`pow-unpow` `unpow-prod-down`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-to-exp` `pow-pow` `pow-plus` `unpow1/3` `pow-exp` `prod-exp` `*-commutative` `cbrt-unprod` `sqr-pow`

Counts

4 → 88

Calls

4 calls:

19.0ms	(* (cbrt z) (cbrt z))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
4.0ms	(pow z 1/3)

series1.2s

Counts

4 → 12

Calls

4 calls:

300.0ms	(* (cbrt z) (cbrt z))
305.0ms	(cbrt z)
322.0ms	(cbrt z)
242.0ms	(pow z 1/3)

simplify2.9s

Counts

100 → 100

Iterations

Iter	Nodes
done	5000
2	1990
1	260
0	95

prune724.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize53.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (log z) (- 1.0 z))) (cbrt (+ (log z) (- 1.0 z))))
0.5b	(cbrt (+ (log z) (- 1.0 z)))
0.5b	(cbrt (+ (log z) (- 1.0 z)))
0.5b	(cbrt (+ (log z) (- 1.0 z)))

rewrite173.0ms

Algorithm

rewrite-expression-head

Rules

143×	`*-un-lft-identity`
93×	`cbrt-prod`
60×	`distribute-lft-out`
41×	`pow1`
30×	`swap-sqr` `log-pow` `distribute-lft-out--`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
10×	`associate-r` `associate-l`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 139

Calls

4 calls:

121.0ms	(* (cbrt (+ (log z) (- 1.0 z))) (cbrt (+ (log z) (- 1.0 z))))
11.0ms	(cbrt (+ (log z) (- 1.0 z)))
16.0ms	(cbrt (+ (log z) (- 1.0 z)))
19.0ms	(cbrt (+ (log z) (- 1.0 z)))

series309.0ms

Counts

4 → 12

Calls

4 calls:

83.0ms	(* (cbrt (+ (log z) (- 1.0 z))) (cbrt (+ (log z) (- 1.0 z))))
89.0ms	(cbrt (+ (log z) (- 1.0 z)))
71.0ms	(cbrt (+ (log z) (- 1.0 z)))
67.0ms	(cbrt (+ (log z) (- 1.0 z)))

simplify2.4s

Counts

151 → 151

Iterations

Iter	Nodes
done	5000
2	2974
1	687
0	241

prune952.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes295.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	19
1	19
0	16

end0.0ms

sample2.3s

Algorithm

intervals

Results

1.2s	9193×	body	80	valid
572.0ms	8855×	body	80	nan