Details

sample26.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
5.0ms	260×	body	80	nan

simplify16.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	4
1	25	4
2	41	4
3	52	4
4	85	4
5	106	4
6	141	4
7	215	4
8	236	4
9	236	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)
0.0b	(- (- (* x (log y)) z) y)
0.3b	(* x (log y))

rewrite29.0ms

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:

4.0ms	(- (* x (log y)) z)
20.0ms	(- (- (* x (log y)) z) y)
4.0ms	(* x (log y))

series129.0ms

Counts

3 → 9

Calls

3 calls:

54.0ms	(- (* x (log y)) z)
37.0ms	(- (- (* x (log y)) z) y)
38.0ms	(* x (log y))

simplify63.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 2 (21.0ms)

Iter	Nodes	Cost
0	257	372
1	752	352
2	2351	328
3	5002	328

prune167.0ms

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)

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 78

Calls

4 calls:

21.0ms	(- (- (* (log (sqrt y)) x) z) y)
35.0ms	(+ (* (log (sqrt y)) x) (- (- (* (log (sqrt y)) x) z) y))
4.0ms	(* (log (sqrt y)) x)
4.0ms	(* (log (sqrt y)) x)

series391.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(- (- (* (log (sqrt y)) x) z) y)
81.0ms	(+ (* (log (sqrt y)) x) (- (- (* (log (sqrt y)) x) z) y))
119.0ms	(* (log (sqrt y)) x)
122.0ms	(* (log (sqrt y)) x)

simplify102.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 3 (96.0ms)

Iter	Nodes	Cost
0	299	610
1	955	562
2	3987	534
3	5002	517

prune219.0ms

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`
3×	`pow1/3` `associate-l`
2×	`log-pow`
1×	`+-commutative` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

4 → 102

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)

series560.0ms

Counts

4 → 12

Calls

4 calls:

94.0ms	(* x (log (cbrt y)))
102.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
180.0ms	(cbrt y)
185.0ms	(cbrt y)

simplify51.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	345	729
1	1431	634
2	5001	547

prune369.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b	(* x (* 2 (log (cbrt y))))
0.3b	(+ (* x (* 2 (log (cbrt y)))) (+ 0 (* x (log (pow y 1/3)))))
0.6b	(cbrt y)
5.1b	(pow y 1/3)

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

48×	`distribute-rgt-in` `log-prod` `distribute-lft-in`
27×	`cbrt-prod`
24×	`add-sqr-sqrt` `add-cube-cbrt` `associate-+l+` `*-un-lft-identity`
10×	`pow1` `add-exp-log`
9×	`add-cbrt-cube` `add-log-exp`
3×	`unpow-prod-down` `pow-unpow` `associate-l` `pow-prod-down` `prod-exp` `sum-log` `cbrt-unprod`
1×	`+-commutative` `pow-to-exp` `associate-+r+` `pow-pow` `flip3-+` `unpow1/3` `pow1/3` `associate-r` `pow-exp` `*-commutative` `flip-+` `sqr-pow`

Counts

4 → 108

Calls

4 calls:

10.0ms	(* x (* 2 (log (cbrt y))))
18.0ms	(+ (* x (* 2 (log (cbrt y)))) (+ 0 (* x (log (pow y 1/3)))))
0.0ms	(cbrt y)
1.0ms	(pow y 1/3)

series595.0ms

Counts

4 → 12

Calls

4 calls:

99.0ms	(* x (* 2 (log (cbrt y))))
141.0ms	(+ (* x (* 2 (log (cbrt y)))) (+ 0 (* x (log (pow y 1/3)))))
184.0ms	(cbrt y)
171.0ms	(pow y 1/3)

simplify66.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	477	853
1	1727	700
2	5001	615

prune342.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes125.0ms

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	8	4
1	8	4

end0.0ms

sample708.0ms

Algorithm

intervals

Results

233.0ms	8036×	body	80	valid
162.0ms	7957×	body	80	nan
0.0ms	1×	body	640	valid