Details

sample80.0ms

Algorithm

intervals

Results

28.0ms	823×	body	80	nan
10.0ms	260×	body	80	valid

simplify32.0ms

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

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite202.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 80

Calls

3 calls:

144.0ms	(+ (- (- (* x (log y)) y) z) (log t))
47.0ms	(- (- (* x (log y)) y) z)
8.0ms	(* x (log y))

series124.0ms

Counts

3 → 9

Calls

3 calls:

49.0ms	(+ (- (- (* x (log y)) y) z) (log t))
33.0ms	(- (- (* x (log y)) y) z)
41.0ms	(* x (log y))

simplify93.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	332	521
1	1115	483
2	4121	455
3	5002	455

prune211.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt y) (cbrt y))
0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite16.0ms

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:

11.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series755.0ms

Counts

4 → 12

Calls

4 calls:

205.0ms	(* (cbrt y) (cbrt y))
182.0ms	(cbrt y)
182.0ms	(cbrt y)
185.0ms	(cbrt y)

simplify90.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (80.0ms)

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

prune285.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt y) (cbrt y))
0.6b	(cbrt y)
0.6b	(cbrt y)
5.1b	(pow y 1/3)

rewrite20.0ms

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:

13.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
3.0ms	(pow y 1/3)

series763.0ms

Counts

4 → 12

Calls

4 calls:

211.0ms	(* (cbrt y) (cbrt y))
184.0ms	(cbrt y)
186.0ms	(cbrt y)
181.0ms	(pow y 1/3)

simplify151.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (31.0ms)

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

prune335.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
1.0b	(* (cbrt 1/3) (cbrt 1/3))
4.0b	(pow y (* (cbrt 1/3) (cbrt 1/3)))
5.3b	(pow (pow y (* (cbrt 1/3) (cbrt 1/3))) (cbrt 1/3))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 92

Calls

4 calls:

1.0ms	(cbrt y)
10.0ms	(* (cbrt 1/3) (cbrt 1/3))
3.0ms	(pow y (* (cbrt 1/3) (cbrt 1/3)))
7.0ms	(pow (pow y (* (cbrt 1/3) (cbrt 1/3))) (cbrt 1/3))

series892.0ms

Counts

4 → 10

Calls

4 calls:

180.0ms	(cbrt y)
0.0ms	(* (cbrt 1/3) (cbrt 1/3))
239.0ms	(pow y (* (cbrt 1/3) (cbrt 1/3)))
472.0ms	(pow (pow y (* (cbrt 1/3) (cbrt 1/3))) (cbrt 1/3))

simplify39.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	266	565
1	1089	514
2	5002	462

prune409.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes252.0ms

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	12	6
1	12	6

end0.0ms

sample2.2s

Algorithm

intervals

Results

771.0ms	24362×	body	80	nan
319.0ms	8029×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid