Details

sample78.0ms

Algorithm

intervals

Results

25.0ms	251×	body	80	nan
16.0ms	286×	body	80	valid

simplify3.1s

Counts

1 → 1

Iterations

Useful iterations: 5 (2.2s)

Iter	Nodes	Cost
0	15	16
1	30	16
2	88	15
3	280	15
4	1040	15
5	4213	14
done	5000	14

prune21.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b	(- 1 (log t))
0.2b	(fma (- 1 (log t)) z y)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

15×	`*-un-lft-identity`
14×	`add-sqr-sqrt`
12×	`prod-diff`
11×	`add-cube-cbrt`
6×	`pow1`
4×	`log-pow`
3×	`log-prod` `fma-neg` `associate--r+` `add-log-exp`
2×	`add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares`
1×	`sub-neg` `flip3--` `diff-log` `flip--` `fma-udef`

Counts

2 → 46

Calls

2 calls:

10.0ms	(- 1 (log t))
0.0ms	(fma (- 1 (log t)) z y)

series241.0ms

Counts

2 → 6

Calls

2 calls:

145.0ms	(- 1 (log t))
96.0ms	(fma (- 1 (log t)) z y)

simplify740.0ms

Counts

52 → 52

Iterations

Useful iterations: done (738.0ms)

Iter	Nodes	Cost
0	97	637
1	211	461
2	740	364
done	5001	327

prune310.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize54.0ms

Local error

Found 4 expressions with local error:

0.0b	(log (sqrt t))
0.0b	(log (sqrt t))
0.0b	(- 1 (log (sqrt t)))
0.2b	(fma (- (- 1 (log (sqrt t))) (log (sqrt t))) z y)

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

24×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
20×	`add-cube-cbrt`
18×	`log-prod` `prod-diff`
16×	`log-pow`
15×	`pow1`
9×	`sqrt-prod`
6×	`add-exp-log` `associate--r+`
5×	`sqrt-pow1` `pow1/2` `add-log-exp`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`
3×	`fma-neg`
2×	`rem-log-exp` `distribute-lft-out--` `difference-of-squares`
1×	`sub-neg` `flip3--` `diff-log` `flip--` `fma-udef`

Counts

4 → 93

Calls

4 calls:

3.0ms	(log (sqrt t))
2.0ms	(log (sqrt t))
20.0ms	(- 1 (log (sqrt t)))
1.0ms	(fma (- (- 1 (log (sqrt t))) (log (sqrt t))) z y)

series548.0ms

Counts

4 → 12

Calls

4 calls:

113.0ms	(log (sqrt t))
82.0ms	(log (sqrt t))
114.0ms	(- 1 (log (sqrt t)))
239.0ms	(fma (- (- 1 (log (sqrt t))) (log (sqrt t))) z y)

simplify1.1s

Counts

105 → 105

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	150	1322
1	355	1028
2	1267	822
done	5001	750

prune647.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 2 expressions with local error:

0.1b	(- (+ z y) (* (log t) z))
0.3b	(* (log t) z)

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

10×	`*-un-lft-identity`
8×	`add-sqr-sqrt`
7×	`add-log-exp`
6×	`add-cube-cbrt`
5×	`pow1`
4×	`add-exp-log` `fma-neg` `associate-l` `prod-diff` `add-cbrt-cube`
3×	`associate-r`
2×	`expm1-log1p-u` `diff-log` `log1p-expm1-u` `distribute-lft-out`
1×	`sub-neg` `flip3--` `pow-prod-down` `prod-exp` `associate--l+` `sum-log` `log-pow` `*-commutative` `flip--` `cbrt-unprod` `unswap-sqr`

Counts

2 → 45

Calls

2 calls:

58.0ms	(- (+ z y) (* (log t) z))
18.0ms	(* (log t) z)

series174.0ms

Counts

2 → 6

Calls

2 calls:

82.0ms	(- (+ z y) (* (log t) z))
92.0ms	(* (log t) z)

simplify691.0ms

Counts

51 → 51

Iterations

Useful iterations: done (689.0ms)

Iter	Nodes	Cost
0	88	502
1	208	472
2	799	427
done	5001	413

prune384.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.2b	(fma (- (- 1 (* 2 (log (cbrt t)))) (log (cbrt t))) z y)
0.3b	(- (- 1 (* 2 (log (cbrt t)))) (log (cbrt t)))
0.6b	(cbrt t)
0.6b	(cbrt t)

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

21×	`*-un-lft-identity`
20×	`add-sqr-sqrt`
18×	`add-cube-cbrt` `prod-diff`
9×	`cbrt-prod`
8×	`pow1`
7×	`log-pow` `add-log-exp`
6×	`log-prod` `associate--r+`
5×	`pow1/3` `associate--l+`
4×	`add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`
3×	`fma-neg` `diff-log`
2×	`sub-neg` `distribute-lft-out--`
1×	`associate--l-` `flip3--` `flip--` `fma-udef` `difference-of-squares`

Counts

4 → 84

Calls

4 calls:

1.0ms	(fma (- (- 1 (* 2 (log (cbrt t)))) (log (cbrt t))) z y)
66.0ms	(- (- 1 (* 2 (log (cbrt t)))) (log (cbrt t)))
1.0ms	(cbrt t)
2.0ms	(cbrt t)

series1.2s

Counts

4 → 12

Calls

4 calls:

264.0ms	(fma (- (- 1 (* 2 (log (cbrt t)))) (log (cbrt t))) z y)
425.0ms	(- (- 1 (* 2 (log (cbrt t)))) (log (cbrt t)))
256.0ms	(cbrt t)
279.0ms	(cbrt t)

simplify1.9s

Counts

96 → 96

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	143	1501
1	330	1322
2	1394	860
done	5000	606

prune607.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

regimes908.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	21
1	24	21
done	24	21

end0.0ms

sample3.8s

Algorithm

intervals

Results

973.0ms	9207×	body	80	valid
738.0ms	9198×	body	80	nan
1.0ms	5×	body	320	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	160	valid