Details

sample27.0ms

Algorithm

intervals

Results

7.0ms	257×	body	80	valid
6.0ms	268×	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

localize7.0ms

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))

rewrite30.0ms

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:

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

series132.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(- (- (* x (log y)) z) y)
53.0ms	(- (* x (log y)) z)
43.0ms	(* x (log y))

simplify65.0ms

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

prune162.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite25.0ms

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)))
12.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
0.0ms	(cbrt y)
1.0ms	(cbrt y)

series531.0ms

Counts

4 → 12

Calls

4 calls:

90.0ms	(* x (log (cbrt y)))
98.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
170.0ms	(cbrt y)
172.0ms	(cbrt y)

simplify54.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (46.0ms)

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

prune359.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.3b	(* x (log (cbrt y)))
0.3b	(+ (* x (* 2 (log (* 1 (pow y 1/3))))) (* x (log (cbrt y))))
0.6b	(cbrt y)
5.0b	(pow y 1/3)

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

28×	`log-prod`
19×	`add-sqr-sqrt`
17×	`add-cube-cbrt` `*-un-lft-identity`
16×	`distribute-rgt-in` `distribute-lft-in`
15×	`cbrt-prod`
12×	`associate-+r+`
8×	`pow1`
7×	`add-exp-log`
6×	`add-cbrt-cube` `add-log-exp`
5×	`associate-r`
4×	`associate-+l+`
3×	`unpow-prod-down` `pow-unpow` `associate-l`
2×	`pow1/3` `log-pow`
1×	`+-commutative` `pow-to-exp` `pow-pow` `flip3-+` `unpow1/3` `pow-prod-down` `pow-exp` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr` `sqr-pow`

Counts

4 → 89

Calls

4 calls:

5.0ms	(* x (log (cbrt y)))
12.0ms	(+ (* x (* 2 (log (* 1 (pow y 1/3))))) (* x (log (cbrt y))))
0.0ms	(cbrt y)
1.0ms	(pow y 1/3)

series567.0ms

Counts

4 → 12

Calls

4 calls:

91.0ms	(* x (log (cbrt y)))
133.0ms	(+ (* x (* 2 (log (* 1 (pow y 1/3))))) (* x (log (cbrt y))))
172.0ms	(cbrt y)
170.0ms	(pow y 1/3)

simplify57.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	360	617
1	1659	507
2	5002	449

prune304.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.3b	(* x (+ (* 2/3 (log y)) (log (sqrt (cbrt y)))))
0.4b	(* 2/3 (log y))
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
12×	`add-cube-cbrt` `*-un-lft-identity`
9×	`pow1`
8×	`add-exp-log` `associate-r` `add-cbrt-cube`
6×	`cbrt-prod` `log-prod` `associate-l`
4×	`distribute-rgt-in` `distribute-lft-in` `add-log-exp`
3×	`pow1/3`
2×	`associate-r/` `pow-prod-down` `prod-exp` `log-pow` `-commutative` `cbrt-unprod` `unswap-sqr`
1×	`distribute-rgt-out` `sqrt-pow1` `flip3-+` `flip-+`

Counts

4 → 70

Calls

4 calls:

16.0ms	(* x (+ (* 2/3 (log y)) (log (sqrt (cbrt y)))))
4.0ms	(* 2/3 (log y))
0.0ms	(cbrt y)
1.0ms	(cbrt y)

series640.0ms

Counts

4 → 12

Calls

4 calls:

153.0ms	(* x (+ (* 2/3 (log y)) (log (sqrt (cbrt y)))))
138.0ms	(* 2/3 (log y))
175.0ms	(cbrt y)
174.0ms	(cbrt y)

simplify123.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	299	435
1	1191	381
2	4758	362
3	5002	362

prune274.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes110.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	11
1	26	11
2	26	11

end0.0ms

sample734.0ms

Algorithm

intervals

Results

236.0ms	8044×	body	80	valid
177.0ms	8071×	body	80	nan
1.0ms	1×	body	2560	valid