Details

sample27.0ms

Algorithm

intervals

Results

7.0ms	257×	body	80	valid
6.0ms	260×	body	80	nan

simplify150.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	8
1	15	8
2	29	8
3	49	8
4	64	8
5	76	8
6	99	8
7	141	8
8	209	8
9	232	8
done	232	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) y)
0.0b	(- (* x (log y)) z)
0.2b	(* 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:

24.0ms	(- (- (* x (log y)) z) y)
4.0ms	(- (* x (log y)) z)
4.0ms	(* x (log y))

series123.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(- (- (* x (log y)) z) y)
50.0ms	(- (* x (log y)) z)
39.0ms	(* x (log y))

simplify3.6s

Counts

101 → 101

Iterations

Useful iterations: 3 (605.0ms)

Iter	Nodes	Cost
0	172	1162
1	374	991
2	1221	862
3	4970	791
done	5000	791

prune209.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

24×	`log-prod`
18×	`cbrt-prod` `add-sqr-sqrt`
16×	`add-cube-cbrt` `*-un-lft-identity`
12×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in`
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-+` `unswap-sqr`

Counts

4 → 86

Calls

4 calls:

5.0ms	(* x (log (cbrt y)))
9.0ms	(+ (* (* 2 (log (cbrt y))) x) (* x (log (cbrt y))))
0.0ms	(cbrt y)
1.0ms	(cbrt y)

series558.0ms

Counts

4 → 12

Calls

4 calls:

89.0ms	(* x (log (cbrt y)))
125.0ms	(+ (* (* 2 (log (cbrt y))) x) (* x (log (cbrt y))))
170.0ms	(cbrt y)
173.0ms	(cbrt y)

simplify3.3s

Counts

98 → 98

Iterations

Useful iterations: done (3.3s)

Iter	Nodes	Cost
0	125	961
1	282	878
2	1024	708
3	4819	661
done	5000	623

prune287.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b	(fma (* 2 (log (cbrt y))) x (* x (log (cbrt y))))
0.3b	(* x (log (cbrt y)))
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 70

Calls

4 calls:

0.0ms	(fma (* 2 (log (cbrt y))) x (* x (log (cbrt y))))
5.0ms	(* x (log (cbrt y)))
0.0ms	(cbrt y)
1.0ms	(cbrt y)

series657.0ms

Counts

4 → 12

Calls

4 calls:

209.0ms	(fma (* 2 (log (cbrt y))) x (* x (log (cbrt y))))
93.0ms	(* x (log (cbrt y)))
178.0ms	(cbrt y)
176.0ms	(cbrt y)

simplify950.0ms

Counts

82 → 82

Iterations

Useful iterations: done (948.0ms)

Iter	Nodes	Cost
0	102	667
1	172	644
2	565	515
3	1891	496
done	5000	474

prune241.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* (* 3 x) (log (* (cbrt (- y)) (cbrt -1)))) z)
0.0b	(log (* (cbrt (- y)) (cbrt -1)))
0.4b	(* (* 3 x) (log (* (cbrt (- y)) (cbrt -1))))
0.6b	(cbrt (- y))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

15×	`pow1`
12×	`add-exp-log`
10×	`cbrt-prod`
9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
7×	`pow-prod-down`
6×	`associate-r` `log-pow` `add-log-exp`
5×	`log-prod` `pow1/3`
4×	`expm1-log1p-u` `prod-exp` `log1p-expm1-u`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `prod-diff` `cbrt-unprod`
2×	`distribute-rgt-in` `distribute-lft-in` `rem-log-exp` `associate--l+`
1×	`neg-mul-1` `sub-neg` `flip3--` `fma-neg` `diff-log` `associate-l` `*-commutative` `flip--`

Counts

4 → 80

Calls

4 calls:

10.0ms	(- (* (* 3 x) (log (* (cbrt (- y)) (cbrt -1)))) z)
4.0ms	(log (* (cbrt (- y)) (cbrt -1)))
15.0ms	(* (* 3 x) (log (* (cbrt (- y)) (cbrt -1))))
1.0ms	(cbrt (- y))

series949.0ms

Counts

4 → 12

Calls

4 calls:

234.0ms	(- (* (* 3 x) (log (* (cbrt (- y)) (cbrt -1)))) z)
344.0ms	(log (* (cbrt (- y)) (cbrt -1)))
173.0ms	(* (* 3 x) (log (* (cbrt (- y)) (cbrt -1))))
198.0ms	(cbrt (- y))

simplify555.0ms

Counts

92 → 92

Iterations

Useful iterations: done (552.0ms)

Iter	Nodes	Cost
0	146	1118
1	319	1027
2	1176	913
done	5000	909

prune241.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes76.0ms

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

sample736.0ms

Algorithm

intervals

Results

238.0ms	8034×	body	80	valid
169.0ms	7990×	body	80	nan