Details

sample68.0ms

Algorithm

intervals

Results

17.0ms	256×	body	80	valid
15.0ms	292×	body	80	nan

simplify271.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	14	8
2	25	8
3	39	8
4	45	8
5	53	8
6	73	8
7	94	8
8	101	8
9	109	8
10	113	8
11	115	8
12	116	8
done	116	8

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

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))

rewrite123.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate--l+`
18×	`log-prod`
15×	`add-sqr-sqrt`
13×	`*-un-lft-identity`
11×	`add-cube-cbrt`
10×	`add-log-exp`
9×	`distribute-rgt-in` `distribute-lft-in`
6×	`pow1`
5×	`add-exp-log` `add-cbrt-cube`
4×	`diff-log` `associate-r`
3×	`sub-neg` `associate-l`
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 → 67

Calls

3 calls:

100.0ms	(- (- (* x (log y)) z) y)
10.0ms	(- (* x (log y)) z)
9.0ms	(* x (log y))

series218.0ms

Counts

3 → 9

Calls

3 calls:

58.0ms	(- (- (* x (log y)) z) y)
86.0ms	(- (* x (log y)) z)
73.0ms	(* x (log y))

simplify1.3s

Counts

76 → 76

Iterations

Useful iterations: 3 (513.0ms)

Iter	Nodes	Cost
0	126	705
1	258	666
2	545	629
3	1407	596
done	5001	596

prune245.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

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

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

12×	`pow1`
11×	`add-exp-log` `add-sqr-sqrt` `add-cbrt-cube`
9×	`add-cube-cbrt` `*-un-lft-identity`
6×	`cbrt-prod` `associate-r` `associate-l`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`pow1/3`
2×	`log-pow` `*-commutative`
1×	`unswap-sqr`

Counts

4 → 60

Calls

4 calls:

28.0ms	(* (* 2 (log (cbrt y))) x)
17.0ms	(* (log (cbrt y)) x)
2.0ms	(cbrt y)
2.0ms	(cbrt y)

series820.0ms

Counts

4 → 12

Calls

4 calls:

160.0ms	(* (* 2 (log (cbrt y))) x)
162.0ms	(* (log (cbrt y)) x)
226.0ms	(cbrt y)
272.0ms	(cbrt y)

simplify3.1s

Counts

72 → 72

Iterations

Useful iterations: 3 (1.6s)

Iter	Nodes	Cost
0	88	525
1	195	495
2	720	409
3	3047	397
done	5000	397

prune326.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

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

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`

Counts

4 → 44

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series1.2s

Counts

4 → 12

Calls

4 calls:

265.0ms	(cbrt y)
302.0ms	(cbrt y)
291.0ms	(cbrt y)
328.0ms	(cbrt y)

simplify2.2s

Counts

56 → 56

Iterations

Useful iterations: 3 (33.0ms)

Iter	Nodes	Cost
0	24	260
1	42	244
2	83	220
3	167	208
4	388	208
5	1317	208
done	5000	208

prune355.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (- (* x (log y)) z))
0.3b	(* x (log y))
0.3b	(* x (log y))
0.3b	(* (sqrt (- (* x (log y)) z)) (sqrt (- (* x (log y)) z)))

rewrite167.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt`
26×	`pow1`
21×	`add-cube-cbrt` `*-un-lft-identity` `sqrt-prod`
14×	`sqrt-div` `associate-r`
12×	`log-prod` `associate-l`
10×	`add-exp-log` `add-cbrt-cube`
9×	`sqrt-pow1` `pow1/2`
8×	`swap-sqr`
7×	`flip3--` `flip--`
6×	`distribute-rgt-in` `distribute-lft-in` `unswap-sqr`
5×	`pow-prod-down` `pow-prod-up`
4×	`frac-times` `add-log-exp`
3×	`prod-exp` `pow-sqr` `*-commutative` `cbrt-unprod`
2×	`associate-r/` `associate-l/` `log-pow`
1×	`pow2` `rem-sqrt-square` `pow-plus` `sqrt-unprod` `rem-square-sqrt`

Counts

4 → 122

Calls

4 calls:

11.0ms	(sqrt (- (* x (log y)) z))
9.0ms	(* x (log y))
15.0ms	(* x (log y))
127.0ms	(* (sqrt (- (* x (log y)) z)) (sqrt (- (* x (log y)) z)))

series398.0ms

Counts

4 → 12

Calls

4 calls:

211.0ms	(sqrt (- (* x (log y)) z))
50.0ms	(* x (log y))
51.0ms	(* x (log y))
86.0ms	(* (sqrt (- (* x (log y)) z)) (sqrt (- (* x (log y)) z)))

simplify2.5s

Counts

134 → 134

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	178	1940
1	362	1387
2	920	1281
3	2766	1206
done	5002	1180

prune384.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes146.0ms

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

678.0ms	7960×	body	80	nan
452.0ms	8039×	body	80	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	320	valid