Details

sample61.0ms

Algorithm

intervals

Results

26.0ms	257×	body	80	valid
9.0ms	213×	body	80	nan

simplify4.7s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	14	8
2	25	8
3	41	8
4	83	8
5	188	8
6	417	8
7	1183	8
8	3990	8
done	5000	8

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (- (* x (log y)) z) y)
0.0b	(- (* x (log y)) z)
0.2b	(* x (log y))

rewrite142.0ms

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:

105.0ms	(- (- (* x (log y)) z) y)
18.0ms	(- (* x (log y)) z)
17.0ms	(* x (log y))

series182.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(- (- (* x (log y)) z) y)
89.0ms	(- (* x (log y)) z)
46.0ms	(* x (log y))

simplify2.8s

Counts

76 → 76

Iterations

Useful iterations: 3 (690.0ms)

Iter	Nodes	Cost
0	126	705
1	275	666
2	734	629
3	4017	596
done	5002	596

prune226.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (* (log (sqrt y)) x) (- (* x (log (sqrt y))) z)) y)
0.0b	(+ (* (log (sqrt y)) x) (- (* x (log (sqrt y))) z))
0.2b	(* x (log (sqrt y)))
0.2b	(* (log (sqrt y)) x)

rewrite351.0ms

Algorithm

rewrite-expression-head

Rules

24×	`log-prod`
22×	`add-sqr-sqrt`
18×	`*-un-lft-identity` `add-log-exp`
16×	`add-cube-cbrt`
14×	`associate-+r+`
13×	`associate--l+`
12×	`pow1` `distribute-rgt-in` `distribute-lft-in` `sqrt-prod`
9×	`associate-r` `associate-l`
8×	`add-exp-log` `add-cbrt-cube`
6×	`log-pow`
5×	`diff-log`
4×	`sum-log`
2×	`associate-+r-` `sub-neg` `sqrt-pow1` `pow1/2` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `associate--l-` `flip3--` `flip3-+` `flip--` `flip-+` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 99

Calls

4 calls:

285.0ms	(- (+ (* (log (sqrt y)) x) (- (* x (log (sqrt y))) z)) y)
33.0ms	(+ (* (log (sqrt y)) x) (- (* x (log (sqrt y))) z))
13.0ms	(* x (log (sqrt y)))
11.0ms	(* (log (sqrt y)) x)

series646.0ms

Counts

4 → 12

Calls

4 calls:

113.0ms	(- (+ (* (log (sqrt y)) x) (- (* x (log (sqrt y))) z)) y)
209.0ms	(+ (* (log (sqrt y)) x) (- (* x (log (sqrt y))) z))
133.0ms	(* x (log (sqrt y)))
191.0ms	(* (log (sqrt y)) x)

simplify1.3s

Counts

111 → 111

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	177	1508
1	432	1383
2	1886	1274
done	5000	1249

prune371.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize49.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (log (fabs (cbrt y))) x)
0.3b	(* x (log (sqrt (cbrt y))))
0.5b	(cbrt y)
0.5b	(cbrt y)

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
18×	`log-prod`
16×	`add-cube-cbrt` `*-un-lft-identity`
12×	`cbrt-prod` `sqrt-prod`
11×	`pow1`
10×	`associate-r`
9×	`distribute-rgt-in` `distribute-lft-in`
8×	`add-exp-log` `add-cbrt-cube`
7×	`associate-l`
5×	`log-pow`
4×	`add-log-exp`
3×	`pow1/3`
2×	`sqrt-pow1` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`pow1/2`

Counts

4 → 81

Calls

4 calls:

16.0ms	(* (log (fabs (cbrt y))) x)
26.0ms	(* x (log (sqrt (cbrt y))))
2.0ms	(cbrt y)
2.0ms	(cbrt y)

series670.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(* (log (fabs (cbrt y))) x)
149.0ms	(* x (log (sqrt (cbrt y))))
208.0ms	(cbrt y)
239.0ms	(cbrt y)

simplify695.0ms

Counts

93 → 93

Iterations

Useful iterations: done (693.0ms)

Iter	Nodes	Cost
0	143	788
1	279	741
2	995	660
done	5000	650

prune566.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* 2 (log (cbrt y))) x)
0.3b	(* (log (cbrt y)) x)
0.5b	(cbrt y)
0.5b	(cbrt y)

rewrite50.0ms

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:

32.0ms	(* (* 2 (log (cbrt y))) x)
14.0ms	(* (log (cbrt y)) x)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series896.0ms

Counts

4 → 12

Calls

4 calls:

199.0ms	(* (* 2 (log (cbrt y))) x)
172.0ms	(* (log (cbrt y)) x)
290.0ms	(cbrt y)
235.0ms	(cbrt y)

simplify799.0ms

Counts

72 → 72

Iterations

Useful iterations: done (796.0ms)

Iter	Nodes	Cost
0	88	525
1	214	497
2	1189	411
done	5000	399

prune286.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes115.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	23
1	22	23
done	22	23

end0.0ms

sample1.7s

Algorithm

intervals

Results

493.0ms	8036×	body	80	valid
401.0ms	8119×	body	80	nan
0.0ms	1×	body	1280	valid
0.0ms	1×	body	320	valid