Details

sample60.0ms

Algorithm

intervals

Results

22.0ms	690×	body	80	nan
10.0ms	256×	body	80	valid

simplify33.0ms

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

localize10.0ms

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))

rewrite35.0ms

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:

12.0ms	(+ (- (- (* x (log y)) y) z) (log t))
8.0ms	(- (- (* x (log y)) y) z)
7.0ms	(- (* x (log y)) y)
5.0ms	(* x (log y))

series205.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(+ (- (- (* x (log y)) y) z) (log t))
33.0ms	(- (- (* x (log y)) y) z)
60.0ms	(- (* x (log y)) y)
39.0ms	(* x (log y))

simplify107.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (31.0ms)

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

prune281.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

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)

rewrite12.0ms

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))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series766.0ms

Counts

4 → 12

Calls

4 calls:

212.0ms	(* (cbrt y) (cbrt y))
183.0ms	(cbrt y)
185.0ms	(cbrt y)
186.0ms	(cbrt y)

simplify89.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (84.0ms)

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

prune315.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt y) (cbrt y))
0.6b	(cbrt y)
0.6b	(cbrt y)
5.0b	(pow y 1/3)

rewrite12.0ms

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:

6.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
2.0ms	(pow y 1/3)

series768.0ms

Counts

4 → 12

Calls

4 calls:

211.0ms	(* (cbrt y) (cbrt y))
185.0ms	(cbrt y)
192.0ms	(cbrt y)
180.0ms	(pow y 1/3)

simplify147.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (29.0ms)

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

prune355.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (fabs (pow y 1/3)) (fabs (pow y 1/3)))
0.6b	(cbrt y)
5.0b	(pow y 1/3)
5.0b	(pow y 1/3)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

3.0ms	(* (fabs (pow y 1/3)) (fabs (pow y 1/3)))
1.0ms	(cbrt y)
2.0ms	(pow y 1/3)
2.0ms	(pow y 1/3)

series567.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(* (fabs (pow y 1/3)) (fabs (pow y 1/3)))
186.0ms	(cbrt y)
179.0ms	(pow y 1/3)
184.0ms	(pow y 1/3)

simplify80.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 3 (75.0ms)

Iter	Nodes	Cost
0	156	275
1	592	232
2	2580	214
3	5002	198

prune302.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes268.0ms

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

sample1.9s

Algorithm

intervals

Results

794.0ms	23987×	body	80	nan
331.0ms	8026×	body	80	valid
1.0ms	3×	body	1280	valid
0.0ms	1×	body	640	valid