Details

sample77.0ms

Algorithm

intervals

Results

24.0ms	789×	body	80	nan
10.0ms	256×	body	80	valid
0.0ms	1×	body	1280	valid

simplify31.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	6
1	48	6
2	118	6
3	247	6
4	525	6
5	732	6
6	937	6
7	1108	6
8	1128	6
9	1128	6

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (- (* x (log y)) y) z) (log t))
0.0b	(- (- (* x (log y)) y) z)
0.0b	(- (* x (log y)) y)
0.2b	(* x (log y))

rewrite219.0ms

Algorithm

rewrite-expression-head

Rules

34×	`associate--l+`
27×	`log-prod`
25×	`*-un-lft-identity`
19×	`add-sqr-sqrt`
17×	`add-log-exp`
15×	`add-cube-cbrt`
12×	`distribute-rgt-in` `distribute-lft-in`
10×	`associate-+l+`
9×	`pow1`
7×	`diff-log`
6×	`add-exp-log` `add-cbrt-cube`
5×	`sub-neg`
4×	`associate-r` `distribute-lft-out`
3×	`associate-+r+` `associate-l` `sum-log` `log-pow` `distribute-lft-out--`
2×	`flip3--` `flip--`
1×	`+-commutative` `associate--l-` `associate-+l-` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `difference-of-squares` `unswap-sqr`

Counts

4 → 98

Calls

4 calls:

149.0ms	(+ (- (- (* x (log y)) y) z) (log t))
48.0ms	(- (- (* x (log y)) y) z)
9.0ms	(- (* x (log y)) y)
9.0ms	(* x (log y))

series150.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(+ (- (- (* x (log y)) y) z) (log t))
28.0ms	(- (- (* x (log y)) y) z)
47.0ms	(- (* x (log y)) y)
36.0ms	(* x (log y))

simplify103.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	376	617
1	1219	584
2	4445	548
3	5001	548

prune281.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (- (- (* x (log y)) y) z) (log (sqrt t))) (log (sqrt t)))
0.0b	(- (- (* x (log y)) y) z)
0.0b	(- (* x (log y)) y)
0.2b	(* x (log y))

rewrite722.0ms

Algorithm

rewrite-expression-head

Rules

39×	`*-un-lft-identity`
24×	`log-prod`
20×	`associate--l+`
18×	`add-sqr-sqrt` `distribute-lft-out` `add-log-exp`
16×	`pow1`
14×	`add-cube-cbrt`
10×	`log-pow`
9×	`distribute-rgt-in` `distribute-lft-in`
7×	`diff-log` `sum-log`
6×	`add-exp-log` `associate-+r+` `add-cbrt-cube`
5×	`distribute-lft-out--`
4×	`associate-r`
3×	`sub-neg` `associate-l` `sqrt-prod`
2×	`associate-+l-` `flip3--` `flip--`
1×	`+-commutative` `associate--l-` `associate-+l+` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `difference-of-squares` `unswap-sqr`

Counts

4 → 99

Calls

4 calls:

649.0ms	(+ (+ (- (- (* x (log y)) y) z) (log (sqrt t))) (log (sqrt t)))
47.0ms	(- (- (* x (log y)) y) z)
12.0ms	(- (* x (log y)) y)
10.0ms	(* x (log y))

series169.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(+ (+ (- (- (* x (log y)) y) z) (log (sqrt t))) (log (sqrt t)))
29.0ms	(- (- (* x (log y)) y) z)
54.0ms	(- (* x (log y)) y)
35.0ms	(* x (log y))

simplify42.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	414	766
1	1348	687
2	5001	638

prune289.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

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)

rewrite46.0ms

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:

11.0ms	(* x (log (cbrt y)))
29.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series506.0ms

Counts

4 → 12

Calls

4 calls:

86.0ms	(* x (log (cbrt y)))
88.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
163.0ms	(cbrt y)
168.0ms	(cbrt y)

simplify53.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (45.0ms)

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

prune447.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 74

Calls

4 calls:

14.0ms	(+ (* 2/3 (log y)) (log (sqrt (cbrt y))))
12.0ms	(* 2/3 (log y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series884.0ms

Counts

4 → 12

Calls

4 calls:

400.0ms	(+ (* 2/3 (log y)) (log (sqrt (cbrt y))))
138.0ms	(* 2/3 (log y))
170.0ms	(cbrt y)
175.0ms	(cbrt y)

simplify79.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 2 (23.0ms)

Iter	Nodes	Cost
0	274	434
1	770	396
2	2421	369
3	5002	369

prune370.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes285.0ms

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	15	10
1	15	10

end0.0ms

sample2.3s

Algorithm

intervals

Results

745.0ms	23867×	body	80	nan
327.0ms	8024×	body	80	valid
0.0ms	3×	body	320	valid
0.0ms	1×	body	1280	valid