Details

sample72.0ms

Algorithm

intervals

Results

29.0ms	845×	body	80	nan
11.0ms	256×	body	80	valid

simplify35.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 4 (10.0ms)

Iter	Nodes	Cost
0	21	6
1	52	6
2	134	6
3	282	6
4	541	5
5	752	5
6	968	5
7	1199	5
8	1327	5
9	1327	5

prune6.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.1b

Counts

2 → 1

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

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

44×	`*-un-lft-identity`
40×	`associate--l+`
38×	`add-sqr-sqrt`
32×	`add-cube-cbrt`
27×	`log-prod` `prod-diff`
22×	`associate-+l+`
17×	`add-log-exp`
12×	`distribute-rgt-in` `distribute-lft-in`
9×	`pow1`
7×	`diff-log`
6×	`add-exp-log` `add-cbrt-cube`
5×	`sub-neg` `fma-def`
4×	`expm1-log1p-u` `fma-neg` `associate-r` `log1p-expm1-u` `distribute-lft-out` `distribute-lft-out--`
3×	`associate-+r+` `associate-l` `sum-log` `log-pow`
2×	`flip3--` `flip--` `difference-of-squares`
1×	`+-commutative` `associate--l-` `associate-+l-` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

4 → 142

Calls

4 calls:

14.0ms	(+ (- (- (* x (log y)) y) z) (log t))
5.0ms	(- (* x (log y)) y)
9.0ms	(- (- (* x (log y)) y) z)
5.0ms	(* x (log y))

series176.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(+ (- (- (* x (log y)) y) z) (log t))
54.0ms	(- (* x (log y)) y)
37.0ms	(- (- (* x (log y)) y) z)
39.0ms	(* x (log y))

simplify58.0ms

Algorithm

egg-herbie

Counts

154 → 154

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	504	963
1	1901	767
2	5002	741

prune431.0ms

Filtered

154 candidates to 110 candidates (71.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	148	6	154
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	148	7	155

Merged error: 0.0b

Counts

155 → 7

localize17.0ms

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×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `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 → 81

Calls

4 calls:

6.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series725.0ms

Counts

4 → 12

Calls

4 calls:

202.0ms	(* (cbrt y) (cbrt y))
176.0ms	(cbrt y)
176.0ms	(cbrt y)
171.0ms	(cbrt y)

simplify88.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (83.0ms)

Iter	Nodes	Cost
0	119	308
1	477	281
2	2972	258
3	5001	255

prune359.0ms

Filtered

93 candidates to 72 candidates (77.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	91	2	93
Fresh	1	4	5
Picked	1	0	1
Done	0	1	1
Total	93	7	100

Merged error: 0.0b

Counts

100 → 7

localize28.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (log (cbrt y)) x)
0.2b	(* (log (* (cbrt 1) (pow y 2/3))) x)
0.6b	(cbrt y)
6.0b	(pow y 2/3)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
11×	`pow1` `add-cube-cbrt` `*-un-lft-identity`
9×	`add-exp-log` `associate-l`
8×	`add-cbrt-cube`
6×	`associate-r`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `unpow-prod-down` `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` `sqr-pow`

Counts

4 → 75

Calls

4 calls:

4.0ms	(* (log (cbrt y)) x)
7.0ms	(* (log (* (cbrt 1) (pow y 2/3))) x)
1.0ms	(cbrt y)
2.0ms	(pow y 2/3)

series579.0ms

Counts

4 → 12

Calls

4 calls:

128.0ms	(* (log (cbrt y)) x)
104.0ms	(* (log (* (cbrt 1) (pow y 2/3))) x)
175.0ms	(cbrt y)
171.0ms	(pow y 2/3)

simplify119.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	254	373
1	878	324
2	4356	303
3	5001	303

prune401.0ms

Filtered

87 candidates to 70 candidates (80.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	81	6	87
Fresh	4	1	5
Picked	1	0	1
Done	0	1	1
Total	86	8	94

Merged error: 0.0b

Counts

94 → 8

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b	(* x (log (pow y 2/3)))
0.2b	(* (log (cbrt y)) x)
0.6b	(cbrt y)
6.0b	(pow y 2/3)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
14×	`log-prod`
10×	`pow1`
9×	`add-exp-log` `unpow-prod-down`
8×	`associate-l` `add-cbrt-cube`
7×	`distribute-rgt-in` `distribute-lft-in` `associate-r`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `pow-unpow` `log-pow` `sqr-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:

6.0ms	(* x (log (pow y 2/3)))
4.0ms	(* (log (cbrt y)) x)
1.0ms	(cbrt y)
2.0ms	(pow y 2/3)

series556.0ms

Counts

4 → 12

Calls

4 calls:

82.0ms	(* x (log (pow y 2/3)))
118.0ms	(* (log (cbrt y)) x)
182.0ms	(cbrt y)
174.0ms	(pow y 2/3)

simplify158.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	282	429
1	1135	366
2	4930	346
3	5001	346

prune345.0ms

Filtered

101 candidates to 70 candidates (69.3%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	98	3	101
Fresh	3	3	6
Picked	0	1	1
Done	0	1	1
Total	101	8	109

Merged error: 0.0b

Counts

109 → 8

regimes424.0ms

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	20	11
1	20	11

end0.0ms

sample2.0s

Algorithm

intervals

Results

844.0ms	24391×	body	80	nan
344.0ms	8023×	body	80	valid
1.0ms	4×	body	1280	valid