Details

sample68.0ms

Algorithm

intervals

Results

24.0ms	690×	body	80	nan
14.0ms	256×	body	80	valid

simplify35.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

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))

rewrite94.0ms

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:

64.0ms	(+ (- (- (* x (log y)) y) z) (log t))
19.0ms	(- (- (* x (log y)) y) z)
4.0ms	(- (* x (log y)) y)
4.0ms	(* x (log y))

series175.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(+ (- (- (* x (log y)) y) z) (log t))
36.0ms	(- (- (* x (log y)) y) z)
55.0ms	(- (* x (log y)) y)
42.0ms	(* x (log y))

simplify106.0ms

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

prune288.0ms

Filtered

110 candidates to 76 candidates (69.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

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)

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)

series732.0ms

Counts

4 → 12

Calls

4 calls:

201.0ms	(* (cbrt y) (cbrt y))
178.0ms	(cbrt y)
179.0ms	(cbrt y)
173.0ms	(cbrt y)

simplify93.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (82.0ms)

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

prune299.0ms

Filtered

85 candidates to 64 candidates (75.3%)

Pruning

6 alts after pruning (5 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)
5.0b	(pow (/ 1 y) -1/3)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-sqr-sqrt`
22×	`cbrt-prod` `add-cube-cbrt` `*-un-lft-identity`
13×	`pow1` `unpow-prod-down`
11×	`add-exp-log`
9×	`times-frac`
8×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l`
4×	`pow-exp` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
3×	`pow-unpow` `pow-pow`
2×	`div-exp` `pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-to-exp` `rec-exp` `pow-flip` `pow-plus` `1-exp` `prod-exp` `*-commutative` `cbrt-unprod` `div-inv` `inv-pow` `sqr-pow`

Counts

4 → 94

Calls

4 calls:

9.0ms	(* (cbrt y) (cbrt y))
0.0ms	(cbrt y)
0.0ms	(cbrt y)
4.0ms	(pow (/ 1 y) -1/3)

series741.0ms

Counts

4 → 12

Calls

4 calls:

202.0ms	(* (cbrt y) (cbrt y))
185.0ms	(cbrt y)
177.0ms	(cbrt y)
178.0ms	(pow (/ 1 y) -1/3)

simplify46.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	276	402
1	1209	361
2	5002	320

prune373.0ms

Filtered

106 candidates to 68 candidates (64.2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (log (cbrt y)) x)
0.3b	(* x (log (pow (pow y 2/3) 1)))
0.6b	(cbrt y)
6.0b	(pow y 2/3)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

23×	`unpow-prod-down`
22×	`log-prod`
21×	`add-sqr-sqrt`
17×	`add-cube-cbrt` `*-un-lft-identity`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`pow1`
9×	`add-exp-log`
8×	`associate-l` `add-cbrt-cube`
7×	`associate-r`
5×	`sqr-pow`
4×	`add-log-exp`
3×	`cbrt-prod` `pow-unpow` `log-pow`
2×	`pow1/3` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`pow-to-exp` `pow-pow` `pow-exp`

Counts

4 → 89

Calls

4 calls:

3.0ms	(* (log (cbrt y)) x)
8.0ms	(* x (log (pow (pow y 2/3) 1)))
1.0ms	(cbrt y)
1.0ms	(pow y 2/3)

series559.0ms

Counts

4 → 12

Calls

4 calls:

119.0ms	(* (log (cbrt y)) x)
80.0ms	(* x (log (pow (pow y 2/3) 1)))
180.0ms	(cbrt y)
179.0ms	(pow y 2/3)

simplify45.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	338	505
1	1421	403
2	5001	385

prune328.0ms

Filtered

101 candidates to 62 candidates (61.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes270.0ms

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

sample2.1s

Algorithm

intervals

Results

832.0ms	23987×	body	80	nan
342.0ms	8026×	body	80	valid
1.0ms	3×	body	1280	valid
0.0ms	1×	body	640	valid