Details

sample74.0ms

Algorithm

intervals

Results

24.0ms	259×	body	80	valid
13.0ms	259×	body	80	nan

simplify383.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	15	8
2	29	8
3	49	8
4	56	8
5	64	8
6	86	8
7	111	8
8	141	8
9	153	8
10	154	8
11	160	8
12	161	8
done	161	8

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (- (* x (log y)) z) y)
0.0b	(- (* x (log y)) z)
0.3b	(* x (log y))

rewrite105.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
23×	`associate--l+`
22×	`*-un-lft-identity`
20×	`add-cube-cbrt`
18×	`log-prod`
15×	`prod-diff`
10×	`add-log-exp`
9×	`distribute-rgt-in` `distribute-lft-in`
6×	`pow1`
5×	`add-exp-log` `add-cbrt-cube`
4×	`fma-neg` `diff-log` `associate-r`
3×	`expm1-log1p-u` `sub-neg` `associate-l` `log1p-expm1-u`
2×	`flip3--` `flip--`
1×	`associate--l-` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 92

Calls

3 calls:

78.0ms	(- (- (* x (log y)) z) y)
11.0ms	(- (* x (log y)) z)
11.0ms	(* x (log y))

series179.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(- (- (* x (log y)) z) y)
77.0ms	(- (* x (log y)) z)
65.0ms	(* x (log y))

simplify4.4s

Counts

101 → 101

Iterations

Useful iterations: done (4.4s)

Iter	Nodes	Cost
0	172	1162
1	364	991
2	763	877
3	2550	791
done	5001	749

prune321.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (log (cbrt y)) x)
0.3b	(+ (* x (* 2 (log (cbrt y)))) (* (log (cbrt y)) x))
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 86

Calls

4 calls:

11.0ms	(* (log (cbrt y)) x)
31.0ms	(+ (* x (* 2 (log (cbrt y)))) (* (log (cbrt y)) x))
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series901.0ms

Counts

4 → 12

Calls

4 calls:

158.0ms	(* (log (cbrt y)) x)
132.0ms	(+ (* x (* 2 (log (cbrt y)))) (* (log (cbrt y)) x))
284.0ms	(cbrt y)
327.0ms	(cbrt y)

simplify2.7s

Counts

98 → 98

Iterations

Useful iterations: done (2.7s)

Iter	Nodes	Cost
0	132	968
1	321	855
2	1006	698
done	5000	596

prune538.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.3b	(* x (* 2 (log (pow (/ 1 y) -1/3))))
0.3b	(+ (* x (* 2 (log (pow (/ 1 y) -1/3)))) (* (log (cbrt y)) x))
0.6b	(cbrt y)
5.1b	(pow (/ 1 y) -1/3)

rewrite151.0ms

Algorithm

rewrite-expression-head

Rules

136×	`distribute-rgt-in` `log-prod` `distribute-lft-in`
117×	`unpow-prod-down`
81×	`times-frac`
78×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
68×	`associate-+l+`
14×	`add-exp-log`
11×	`pow1`
9×	`add-cbrt-cube` `div-inv` `sqr-pow`
6×	`add-log-exp`
4×	`expm1-log1p-u` `pow-exp` `log1p-expm1-u`
3×	`cbrt-prod` `pow-unpow` `pow-pow` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`div-exp`
1×	`+-commutative` `pow-to-exp` `rec-exp` `pow-flip` `fma-def` `flip3-+` `pow1/3` `1-exp` `associate-r` `sum-log` `*-commutative` `flip-+` `inv-pow`

Counts

4 → 217

Calls

4 calls:

43.0ms	(* x (* 2 (log (pow (/ 1 y) -1/3))))
78.0ms	(+ (* x (* 2 (log (pow (/ 1 y) -1/3)))) (* (log (cbrt y)) x))
2.0ms	(cbrt y)
13.0ms	(pow (/ 1 y) -1/3)

series950.0ms

Counts

4 → 12

Calls

4 calls:

132.0ms	(* x (* 2 (log (pow (/ 1 y) -1/3))))
255.0ms	(+ (* x (* 2 (log (pow (/ 1 y) -1/3)))) (* (log (cbrt y)) x))
292.0ms	(cbrt y)
271.0ms	(pow (/ 1 y) -1/3)

simplify1.5s

Counts

229 → 229

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	406	3853
1	985	3252
2	2132	2489
done	5000	2211

prune959.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt (* (cbrt y) (cbrt y)))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 50

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)
8.0ms	(cbrt (* (cbrt y) (cbrt y)))

series1.2s

Counts

4 → 12

Calls

4 calls:

301.0ms	(cbrt y)
254.0ms	(cbrt y)
272.0ms	(cbrt y)
418.0ms	(cbrt (* (cbrt y) (cbrt y)))

simplify3.5s

Counts

62 → 62

Iterations

Useful iterations: 3 (90.0ms)

Iter	Nodes	Cost
0	46	323
1	86	310
2	168	260
3	349	248
4	1085	248
5	4794	248
done	5001	248

prune353.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes132.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	8	8
done	8	8

end0.0ms

sample2.0s

Algorithm

intervals

Results

885.0ms	8026×	body	80	valid
339.0ms	7947×	body	80	nan
1.0ms	2×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	160	valid