Details

sample38.0ms

Algorithm

intervals

Results

10.0ms	257×	body	80	valid
7.0ms	213×	body	80	nan

simplify5.0s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	15	8
2	29	8
3	51	8
4	96	8
5	213	8
6	474	8
7	1302	8
done	5000	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)
0.2b	(* x (log y))

rewrite107.0ms

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:

66.0ms	(- (- (* x (log y)) z) y)
20.0ms	(- (* x (log y)) z)
14.0ms	(* x (log y))

series214.0ms

Counts

3 → 9

Calls

3 calls:

57.0ms	(- (- (* x (log y)) z) y)
103.0ms	(- (* x (log y)) z)
53.0ms	(* x (log y))

simplify1.1s

Counts

101 → 101

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	172	1162
1	428	998
2	1489	877
done	5001	824

prune236.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite91.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 109

Calls

4 calls:

10.0ms	(- (* (log (sqrt y)) x) z)
47.0ms	(+ (* x (log (sqrt y))) (- (* (log (sqrt y)) x) z))
15.0ms	(* (log (sqrt y)) x)
14.0ms	(* x (log (sqrt y)))

series566.0ms

Counts

4 → 12

Calls

4 calls:

117.0ms	(- (* (log (sqrt y)) x) z)
115.0ms	(+ (* x (log (sqrt y))) (- (* (log (sqrt y)) x) z))
192.0ms	(* (log (sqrt y)) x)
142.0ms	(* x (log (sqrt y)))

simplify2.5s

Counts

121 → 121

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	190	1474
1	500	1307
2	2153	1205
done	5002	1141

prune507.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize51.0ms

Local error

Found 4 expressions with local error:

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

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
12×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
10×	`associate-l`
8×	`add-exp-log` `add-cbrt-cube`
7×	`associate-r`
6×	`cbrt-prod` `log-prod`
5×	`log-pow`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`distribute-rgt-in` `distribute-lft-in` `pow1/3`
2×	`sqrt-pow1` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`pow1/2`

Counts

4 → 77

Calls

4 calls:

12.0ms	(* (log (sqrt (cbrt y))) x)
10.0ms	(* x (log (fabs (cbrt y))))
10.0ms	(cbrt y)
2.0ms	(cbrt y)

series883.0ms

Counts

4 → 12

Calls

4 calls:

191.0ms	(* (log (sqrt (cbrt y))) x)
53.0ms	(* x (log (fabs (cbrt y))))
359.0ms	(cbrt y)
279.0ms	(cbrt y)

simplify693.0ms

Counts

89 → 89

Iterations

Useful iterations: done (690.0ms)

Iter	Nodes	Cost
0	121	657
1	241	632
2	828	563
done	5000	553

prune608.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

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

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

36×	`log-prod`
30×	`distribute-rgt-in` `distribute-lft-in`
24×	`cbrt-prod`
23×	`add-sqr-sqrt`
21×	`add-cube-cbrt` `*-un-lft-identity`
12×	`pow1`
11×	`add-exp-log` `add-cbrt-cube`
6×	`associate-r` `associate-l`
4×	`expm1-log1p-u` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
2×	`log-pow` `*-commutative`
1×	`unswap-sqr`

Counts

4 → 104

Calls

4 calls:

33.0ms	(* x (* 2 (log (cbrt y))))
31.0ms	(* x (log (cbrt y)))
2.0ms	(cbrt y)
2.0ms	(cbrt y)

series880.0ms

Counts

4 → 12

Calls

4 calls:

135.0ms	(* x (* 2 (log (cbrt y))))
167.0ms	(* x (log (cbrt y)))
276.0ms	(cbrt y)
302.0ms	(cbrt y)

simplify1.1s

Counts

116 → 116

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	161	1097
1	401	1051
2	1467	894
done	5000	871

prune435.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes116.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	28
1	28	28
done	28	28

end0.0ms

sample2.2s

Algorithm

intervals

Results

893.0ms	8036×	body	80	valid
442.0ms	8119×	body	80	nan
0.0ms	1×	body	1280	valid
0.0ms	1×	body	320	valid