Details

sample57.0ms

Algorithm

intervals

Results

16.0ms	300×	body	80	valid
12.0ms	338×	body	80	nan

simplify5.6s

Counts

1 → 1

Iterations

Useful iterations: 5 (738.0ms)

Iter	Nodes	Cost
0	15	16
1	30	16
2	87	15
3	242	15
4	710	15
5	1948	14
6	4015	14
done	5001	14

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

16×	`*-un-lft-identity`
15×	`add-sqr-sqrt`
12×	`add-cube-cbrt` `prod-diff`
7×	`pow1`
4×	`log-pow` `add-log-exp`
3×	`add-exp-log` `expm1-log1p-u` `log-prod` `fma-neg` `add-cbrt-cube` `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:

4.0ms	(- 1 (log t))
0.0ms	(fma (- a 0.5) b (+ x y))
0.0ms	(fma z (- 1 (log t)) (fma (- a 0.5) b (+ x y)))

series411.0ms

Counts

3 → 9

Calls

3 calls:

134.0ms	(- 1 (log t))
63.0ms	(fma (- a 0.5) b (+ x y))
213.0ms	(fma z (- 1 (log t)) (fma (- a 0.5) b (+ x y)))

simplify1.3s

Counts

65 → 65

Iterations

Useful iterations: 3 (330.0ms)

Iter	Nodes	Cost
0	114	848
1	213	656
2	469	567
3	1692	507
done	5001	507

prune215.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

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))

rewrite419.0ms

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×	`prod-diff` `sum-log`
9×	`pow1` `distribute-lft-out`
8×	`add-exp-log` `associate-+l+` `associate-l` `add-cbrt-cube`
7×	`associate-r`
6×	`distribute-rgt-in` `flip3--` `distribute-lft-in` `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` `associate-+l-` `flip3-+` `log-pow` `flip-+` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 116

Calls

4 calls:

303.0ms	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
10.0ms	(* (- a 0.5) b)
97.0ms	(- (+ (+ x y) z) (* z (log t)))
4.0ms	(* z (log t))

series278.0ms

Counts

4 → 12

Calls

4 calls:

154.0ms	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
30.0ms	(* (- a 0.5) b)
45.0ms	(- (+ (+ x y) z) (* z (log t)))
48.0ms	(* z (log t))

simplify779.0ms

Counts

128 → 128

Iterations

Useful iterations: 2 (225.0ms)

Iter	Nodes	Cost
0	222	1851
1	575	1715
2	2299	1571
done	5001	1571

prune429.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.3b	(* z (log (cbrt t)))
0.3b	(+ (* z (* 2 (log (cbrt t)))) (* z (log (cbrt t))))
0.6b	(cbrt t)
0.6b	(cbrt t)

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

48×	`log-prod`
36×	`distribute-rgt-in` `distribute-lft-in`
30×	`cbrt-prod`
26×	`add-sqr-sqrt`
24×	`add-cube-cbrt` `associate-+l+` `*-un-lft-identity`
12×	`associate-+r+`
7×	`pow1`
6×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
5×	`associate-r`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`pow1/3` `associate-l`
2×	`log-pow`
1×	`+-commutative` `fma-def` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

4 → 111

Calls

4 calls:

5.0ms	(* z (log (cbrt t)))
13.0ms	(+ (* z (* 2 (log (cbrt t)))) (* z (log (cbrt t))))
0.0ms	(cbrt t)
1.0ms	(cbrt t)

series634.0ms

Counts

4 → 12

Calls

4 calls:

116.0ms	(* z (log (cbrt t)))
124.0ms	(+ (* z (* 2 (log (cbrt t)))) (* z (log (cbrt t))))
201.0ms	(cbrt t)
192.0ms	(cbrt t)

simplify3.4s

Counts

123 → 123

Iterations

Useful iterations: 3 (1.3s)

Iter	Nodes	Cost
0	163	1298
1	348	1053
2	973	925
3	4515	829
done	5000	829

prune567.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(cbrt t)
0.6b	(cbrt (cbrt t))
6.0b	(pow t 2/3)

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

15×	`cbrt-prod`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`pow1` `add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`unpow-prod-down` `pow-unpow` `pow1/3`
1×	`pow-to-exp` `pow-pow` `pow-exp` `sqr-pow`

Counts

4 → 61

Calls

4 calls:

1.0ms	(cbrt t)
1.0ms	(cbrt t)
1.0ms	(cbrt (cbrt t))
2.0ms	(pow t 2/3)

series846.0ms

Counts

4 → 12

Calls

4 calls:

192.0ms	(cbrt t)
192.0ms	(cbrt t)
267.0ms	(cbrt (cbrt t))
195.0ms	(pow t 2/3)

simplify1.3s

Counts

73 → 73

Iterations

Useful iterations: 4 (419.0ms)

Iter	Nodes	Cost
0	81	384
1	150	343
2	283	316
3	637	302
4	2024	298
done	5000	298

prune435.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

regimes513.0ms

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	28	34
1	38	34
done	38	34

end0.0ms

sample1.4s

Algorithm

intervals

Results

434.0ms	9170×	body	80	valid
348.0ms	9078×	body	80	nan
0.0ms	1×	body	1280	valid
0.0ms	1×	body	320	valid