Details

sample27.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
6.0ms	266×	body	80	nan

simplify18.0ms

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

localize10.0ms

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))

rewrite22.0ms

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:

9.0ms	(- (- (* x (log y)) z) y)
5.0ms	(- (* x (log y)) z)
4.0ms	(* x (log y))

series126.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(- (- (* x (log y)) z) y)
57.0ms	(- (* x (log y)) z)
38.0ms	(* x (log y))

simplify45.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	365	609
1	1312	480
2	5001	459

prune197.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt`
30×	`log-prod` `*-un-lft-identity`
28×	`add-cube-cbrt`
18×	`prod-diff`
15×	`sqrt-prod`
14×	`pow1`
12×	`distribute-rgt-in` `distribute-lft-in` `associate-r`
9×	`add-exp-log` `log-pow` `add-log-exp`
8×	`add-cbrt-cube`
6×	`fma-neg` `associate-l`
4×	`expm1-log1p-u` `distribute-rgt-out` `count-2` `log1p-expm1-u` `distribute-lft-out`
3×	`sqrt-pow1` `pow1/2`
2×	`diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`sub-neg` `flip3--` `rem-log-exp` `associate--l+` `sum-log` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 131

Calls

4 calls:

2.0ms	(log (sqrt y))
8.0ms	(- (+ (* x (log (sqrt y))) (* x (log (sqrt y)))) z)
5.0ms	(* x (log (sqrt y)))
8.0ms	(* x (log (sqrt y)))

series336.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(log (sqrt y))
98.0ms	(- (+ (* x (log (sqrt y))) (* x (log (sqrt y)))) z)
85.0ms	(* x (log (sqrt y)))
87.0ms	(* x (log (sqrt y)))

simplify55.0ms

Algorithm

egg-herbie

Counts

143 → 143

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	391	1143
1	1403	877
2	5001	847

prune312.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

52×	`sqrt-prod`
48×	`log-prod`
36×	`add-sqr-sqrt`
28×	`add-cube-cbrt` `*-un-lft-identity`
24×	`distribute-rgt-in` `distribute-lft-in`
22×	`associate-r`
20×	`pow1`
13×	`sqrt-pow1` `log-pow`
10×	`add-exp-log` `add-cbrt-cube`
9×	`associate-l`
7×	`pow1/2`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
2×	`rem-sqrt-square`

Counts

4 → 142

Calls

4 calls:

2.0ms	(sqrt (sqrt y))
7.0ms	(* x (log (sqrt (sqrt y))))
7.0ms	(* x (log (sqrt (sqrt y))))
5.0ms	(* x (log (sqrt y)))

series483.0ms

Counts

4 → 12

Calls

4 calls:

136.0ms	(sqrt (sqrt y))
123.0ms	(* x (log (sqrt (sqrt y))))
133.0ms	(* x (log (sqrt (sqrt y))))
91.0ms	(* x (log (sqrt y)))

simplify49.0ms

Algorithm

egg-herbie

Counts

154 → 154

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	393	994
1	1510	902
2	5001	845

prune387.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite19.0ms

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:

7.0ms	(* x (* 2 (log (cbrt y))))
5.0ms	(* x (log (cbrt y)))
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series542.0ms

Counts

4 → 12

Calls

4 calls:

96.0ms	(* x (* 2 (log (cbrt y))))
91.0ms	(* x (log (cbrt y)))
174.0ms	(cbrt y)
181.0ms	(cbrt y)

simplify42.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	297	668
1	1179	591
2	5001	567

prune302.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes68.0ms

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	16	15
1	16	15

end0.0ms

sample749.0ms

Algorithm

intervals

Results

245.0ms	8022×	body	80	valid
179.0ms	7977×	body	80	nan
1.0ms	2×	body	1280	valid