Details

sample28.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
6.0ms	260×	body	80	nan

simplify19.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	4
1	29	4
2	51	4
3	65	4
4	97	4
5	120	4
6	159	4
7	257	4
8	322	4
9	322	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

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))

rewrite36.0ms

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)
25.0ms	(- (- (* x (log y)) z) y)
4.0ms	(* x (log y))

series124.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(- (* x (log y)) z)
35.0ms	(- (- (* x (log y)) z) y)
38.0ms	(* x (log y))

simplify50.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	365	609
1	1312	480
2	5001	447

prune196.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt`
25×	`*-un-lft-identity`
24×	`prod-diff`
23×	`add-cube-cbrt`
18×	`add-log-exp`
16×	`associate-+r+`
12×	`pow1` `associate-l`
10×	`associate--l+`
8×	`add-exp-log` `add-cbrt-cube`
6×	`diff-log` `associate-r` `log-pow`
4×	`expm1-log1p-u` `sub-neg` `log1p-expm1-u`
3×	`fma-neg` `sum-log`
2×	`sqrt-pow1` `pow1/2` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `associate--l-` `associate-+r-` `flip3--` `fma-def` `flip3-+` `flip--` `flip-+` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 114

Calls

4 calls:

27.0ms	(- (- (* (log (sqrt y)) x) z) y)
39.0ms	(+ (* (log (sqrt y)) x) (- (- (* (log (sqrt y)) x) z) y))
4.0ms	(* (log (sqrt y)) x)
5.0ms	(* (log (sqrt y)) x)

series376.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(- (- (* (log (sqrt y)) x) z) y)
80.0ms	(+ (* (log (sqrt y)) x) (- (- (* (log (sqrt y)) x) z) y))
117.0ms	(* (log (sqrt y)) x)
115.0ms	(* (log (sqrt y)) x)

simplify52.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	447	1032
1	1567	805
2	5002	745

prune290.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 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)

series538.0ms

Counts

4 → 12

Calls

4 calls:

89.0ms	(* x (log (cbrt y)))
98.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
179.0ms	(cbrt y)
172.0ms	(cbrt y)

simplify54.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	384	753
1	1636	640
2	5001	570

prune394.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b	(fma x (* 2 (log (cbrt y))) (* x (log (cbrt y))))
0.2b	(* 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 x (* 2 (log (cbrt y))) (* x (log (cbrt y))))
5.0ms	(* x (log (cbrt y)))
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series626.0ms

Counts

4 → 12

Calls

4 calls:

163.0ms	(fma x (* 2 (log (cbrt y))) (* x (log (cbrt y))))
89.0ms	(* x (log (cbrt y)))
195.0ms	(cbrt y)
179.0ms	(cbrt y)

simplify76.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 3 (71.0ms)

Iter	Nodes	Cost
0	168	411
1	610	367
2	2425	343
3	5002	333

prune237.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

regimes95.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	11
1	18	11

end0.0ms

sample742.0ms

Algorithm

intervals

Results

244.0ms	8036×	body	80	valid
170.0ms	7957×	body	80	nan
0.0ms	1×	body	640	valid