Details

sample29.0ms

Algorithm

intervals

Results

8.0ms	258×	body	80	valid
6.0ms	306×	body	80	nan

simplify154.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	8
1	15	8
2	29	8
3	47	8
4	58	8
5	66	8
6	88	8
7	123	8
8	149	8
9	161	8
10	170	8
11	176	8
12	178	8
done	178	8

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite34.0ms

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:

4.0ms	(- (* x (log y)) z)
23.0ms	(- (- (* x (log y)) z) y)
4.0ms	(* x (log y))

series128.0ms

Counts

3 → 9

Calls

3 calls:

55.0ms	(- (* x (log y)) z)
32.0ms	(- (- (* x (log y)) z) y)
41.0ms	(* x (log y))

simplify1.3s

Counts

101 → 101

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	172	1162
1	349	991
2	770	877
3	2427	791
done	5000	788

prune356.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

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

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	(* x (log (cbrt y)))
13.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
0.0ms	(cbrt y)
1.0ms	(cbrt y)

series541.0ms

Counts

4 → 12

Calls

4 calls:

91.0ms	(* x (log (cbrt y)))
99.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
169.0ms	(cbrt y)
182.0ms	(cbrt y)

simplify3.4s

Counts

123 → 123

Iterations

Useful iterations: 3 (1.5s)

Iter	Nodes	Cost
0	163	1298
1	347	1053
2	974	925
3	4502	829
done	5000	829

prune570.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize46.0ms

Local error

Found 4 expressions with local error:

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

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

16×	`cbrt-prod`
8×	`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 → 53

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
5.0ms	(cbrt (* (cbrt y) (cbrt y)))
2.0ms	(cbrt (cbrt y))

series1.1s

Counts

4 → 12

Calls

4 calls:

273.0ms	(cbrt y)
203.0ms	(cbrt y)
338.0ms	(cbrt (* (cbrt y) (cbrt y)))
299.0ms	(cbrt (cbrt y))

simplify975.0ms

Counts

65 → 65

Iterations

Useful iterations: 3 (87.0ms)

Iter	Nodes	Cost
0	64	368
1	116	354
2	228	302
3	484	290
4	1395	290
done	5000	290

prune308.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (log y))
0.1b	(sqrt (log y))
0.2b	(* x (sqrt (log y)))
0.2b	(* (* x (sqrt (log y))) (sqrt (log y)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

17×	`pow1` `add-sqr-sqrt` `sqrt-prod`
14×	`associate-r`
11×	`add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
4×	`expm1-log1p-u` `associate-l` `pow-prod-down` `prod-exp` `log-pow` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `*-commutative` `unswap-sqr`

Counts

4 → 81

Calls

4 calls:

1.0ms	(sqrt (log y))
1.0ms	(sqrt (log y))
5.0ms	(* x (sqrt (log y)))
15.0ms	(* (* x (sqrt (log y))) (sqrt (log y)))

series364.0ms

Counts

4 → 12

Calls

4 calls:

131.0ms	(sqrt (log y))
137.0ms	(sqrt (log y))
58.0ms	(* x (sqrt (log y)))
37.0ms	(* (* x (sqrt (log y))) (sqrt (log y)))

simplify4.3s

Counts

93 → 93

Iterations

Useful iterations: 3 (368.0ms)

Iter	Nodes	Cost
0	81	728
1	170	554
2	460	498
3	1292	478
4	4110	478
done	5000	478

prune187.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0.0b

regimes101.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample739.0ms

Algorithm

intervals

Results

236.0ms	8031×	body	80	valid
171.0ms	8186×	body	80	nan