Details

sample87.0ms

Algorithm

intervals

Results

24.0ms	296×	body	80	valid
18.0ms	275×	body	80	nan

simplify4.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
5	2285
4	842
3	266
2	88
1	30
0	15

prune29.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma b (- a 0.5) (+ y x))
0.0b	(- 1 (log t))
0.1b	(fma z (- 1 (log t)) (fma b (- a 0.5) (+ y x)))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 56

Calls

3 calls:

0.0ms	(fma b (- a 0.5) (+ y x))
12.0ms	(- 1 (log t))
0.0ms	(fma z (- 1 (log t)) (fma b (- a 0.5) (+ y x)))

series526.0ms

Counts

3 → 9

Calls

3 calls:

71.0ms	(fma b (- a 0.5) (+ y x))
166.0ms	(- 1 (log t))
289.0ms	(fma z (- 1 (log t)) (fma b (- a 0.5) (+ y x)))

simplify1.4s

Counts

65 → 65

Iterations

Iter	Nodes
done	5000
3	1340
2	543
1	225
0	115

prune444.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize54.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma z (- (fma -2 (log (cbrt t)) 1) (log (cbrt t))) (fma b (- a 0.5) (+ y x)))
0.3b	(- (fma -2 (log (cbrt t)) 1) (log (cbrt t)))
0.6b	(cbrt t)
0.6b	(cbrt t)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 78

Calls

4 calls:

0.0ms	(fma z (- (fma -2 (log (cbrt t)) 1) (log (cbrt t))) (fma b (- a 0.5) (+ y x)))
8.0ms	(- (fma -2 (log (cbrt t)) 1) (log (cbrt t)))
1.0ms	(cbrt t)
1.0ms	(cbrt t)

series1.8s

Counts

4 → 12

Calls

4 calls:

601.0ms	(fma z (- (fma -2 (log (cbrt t)) 1) (log (cbrt t))) (fma b (- a 0.5) (+ y x)))
680.0ms	(- (fma -2 (log (cbrt t)) 1) (log (cbrt t)))
267.0ms	(cbrt t)
235.0ms	(cbrt t)

simplify2.7s

Counts

90 → 90

Iterations

Iter	Nodes
done	5001
3	2295
2	728
1	292
0	139

prune858.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize57.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (cbrt t))
0.5b	(cbrt (cbrt t))
0.6b	(cbrt t)
0.6b	(cbrt t)

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

24×	`cbrt-prod`
10×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `log1p-expm1-u` `add-log-exp`

Counts

4 → 58

Calls

4 calls:

2.0ms	(cbrt (cbrt t))
2.0ms	(cbrt (cbrt t))
1.0ms	(cbrt t)
1.0ms	(cbrt t)

series1.2s

Counts

4 → 12

Calls

4 calls:

314.0ms	(cbrt (cbrt t))
359.0ms	(cbrt (cbrt t))
289.0ms	(cbrt t)
279.0ms	(cbrt t)

simplify1.9s

Counts

70 → 70

Iterations

Iter	Nodes
done	5001
5	3194
4	892
3	352
2	174
1	81
0	46

prune755.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
0.0b	(* (- a 0.5) b)
0.1b	(- (+ (+ x y) z) (* z (log t)))
0.3b	(* z (log t))

rewrite791.0ms

Algorithm

rewrite-expression-head

Rules

33×	`*-un-lft-identity`
27×	`add-log-exp`
22×	`add-sqr-sqrt`
16×	`add-cube-cbrt`
12×	`log-prod`
10×	`sum-log` `prod-diff`
9×	`pow1` `distribute-lft-out`
8×	`associate-+l+` `add-cbrt-cube` `associate-l` `add-exp-log`
7×	`associate-r`
6×	`distribute-rgt-in` `distribute-lft-in` `flip3--` `diff-log` `associate-*l/` `flip--` `associate--r+`
5×	`fma-neg`
4×	`expm1-log1p-u` `frac-add` `log1p-expm1-u`
3×	`fma-def`
2×	`sub-neg` `pow-prod-down` `prod-exp` `associate--l+` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `flip3-+` `log-pow` `associate-+l-` `flip-+` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 116

Calls

4 calls:

580.0ms	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
18.0ms	(* (- a 0.5) b)
175.0ms	(- (+ (+ x y) z) (* z (log t)))
11.0ms	(* z (log t))

series343.0ms

Counts

4 → 12

Calls

4 calls:

212.0ms	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
34.0ms	(* (- a 0.5) b)
48.0ms	(- (+ (+ x y) z) (* z (log t)))
48.0ms	(* z (log t))

simplify2.1s

Counts

128 → 128

Iterations

Iter	Nodes
done	5003
2	2254
1	603
0	222

prune880.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes1.9s

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	23
1	23
0	18

end0.0ms

sample2.8s

Algorithm

intervals

Results

995.0ms	9255×	body	80	nan
942.0ms	9160×	body	80	valid
0.0ms	1×	body	640	valid