Details

sample109.0ms

Algorithm

intervals

Results

55.0ms	853×	body	80	nan
21.0ms	257×	body	80	valid

simplify34.0ms

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite96.0ms

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:

19.0ms	(- (- (* x (log y)) y) z)
4.0ms	(- (* x (log y)) y)
66.0ms	(+ (- (- (* x (log y)) y) z) (log t))
4.0ms	(* x (log y))

series170.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(- (- (* x (log y)) y) z)
52.0ms	(- (* x (log y)) y)
46.0ms	(+ (- (- (* x (log y)) y) z) (log t))
36.0ms	(* x (log y))

simplify102.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (28.0ms)

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

prune256.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 97

Calls

4 calls:

26.0ms	(+ (- (* x (log y)) y) (- (log t) z))
4.0ms	(- (* x (log y)) y)
4.0ms	(- (log t) z)
4.0ms	(* x (log y))

series205.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(+ (- (* x (log y)) y) (- (log t) z))
58.0ms	(- (* x (log y)) y)
63.0ms	(- (log t) z)
38.0ms	(* x (log y))

simplify45.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	476	703
1	1622	667
2	5001	626

prune261.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt y) (cbrt y))
0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

5.0ms	(* (cbrt y) (cbrt y))
0.0ms	(cbrt y)
0.0ms	(cbrt y)
1.0ms	(cbrt y)

series736.0ms

Counts

4 → 12

Calls

4 calls:

206.0ms	(* (cbrt y) (cbrt y))
177.0ms	(cbrt y)
179.0ms	(cbrt y)
174.0ms	(cbrt y)

simplify86.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (81.0ms)

Iter	Nodes	Cost
0	115	288
1	472	261
2	2959	238
3	5003	235

prune284.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt y) (cbrt y))
0.6b	(cbrt y)
0.6b	(cbrt y)
4.9b	(pow y 1/3)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
22×	`cbrt-prod`
16×	`add-cube-cbrt` `*-un-lft-identity`
12×	`pow1`
8×	`pow1/3`
7×	`add-exp-log`
6×	`swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
3×	`unpow-prod-down` `pow-unpow`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-to-exp` `pow-pow` `pow-plus` `unpow1/3` `pow-exp` `prod-exp` `*-commutative` `cbrt-unprod` `sqr-pow`

Counts

4 → 80

Calls

4 calls:

5.0ms	(* (cbrt y) (cbrt y))
0.0ms	(cbrt y)
0.0ms	(cbrt y)
1.0ms	(pow y 1/3)

series724.0ms

Counts

4 → 12

Calls

4 calls:

204.0ms	(* (cbrt y) (cbrt y))
179.0ms	(cbrt y)
173.0ms	(cbrt y)
167.0ms	(pow y 1/3)

simplify144.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	173	288
1	778	209
2	4922	194
3	5003	194

prune337.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes148.0ms

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	26	14
1	28	14
2	28	14

end0.0ms

sample3.1s

Algorithm

intervals

Results

1.6s	24155×	body	80	nan
673.0ms	8025×	body	80	valid
1.0ms	2×	body	1280	valid