Details

sample63.0ms

Algorithm

intervals

Results

24.0ms	690×	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

prune8.0ms

Pruning

2 alts after pruning (2 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))

rewrite41.0ms

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))
9.0ms	(- (- (* x (log y)) y) z)
5.0ms	(- (* x (log y)) y)
8.0ms	(* x (log y))

series177.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(+ (- (- (* x (log y)) y) z) (log t))
32.0ms	(- (- (* x (log y)) y) z)
60.0ms	(- (* x (log y)) y)
38.0ms	(* 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

prune418.0ms

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×	`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)

series767.0ms

Counts

4 → 12

Calls

4 calls:

208.0ms	(* (cbrt y) (cbrt y))
185.0ms	(cbrt y)
191.0ms	(cbrt y)
183.0ms	(cbrt y)

simplify92.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (86.0ms)

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

prune352.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

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)

rewrite13.0ms

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×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `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 → 88

Calls

4 calls:

6.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
3.0ms	(pow y 1/3)

series753.0ms

Counts

4 → 12

Calls

4 calls:

209.0ms	(* (cbrt y) (cbrt y))
178.0ms	(cbrt y)
180.0ms	(cbrt y)
186.0ms	(pow y 1/3)

simplify147.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	179	308
1	790	229
2	4954	214
3	5001	214

prune431.0ms

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

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt`
24×	`unpow-prod-down`
18×	`add-exp-log`
17×	`add-cube-cbrt` `*-un-lft-identity`
12×	`sqr-pow`
9×	`prod-exp` `unswap-sqr`
8×	`pow-to-exp` `pow-exp` `add-cbrt-cube`
7×	`swap-sqr` `associate-r` `associate-l`
6×	`pow1` `pow-unpow` `unpow1/3`
4×	`expm1-log1p-u` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod`
2×	`pow-pow`
1×	`pow2` `pow1/3` `pow-prod-down` `pow-sqr` `*-commutative` `pow-prod-up`

Counts

4 → 110

Calls

4 calls:

7.0ms	(* (pow y 1/3) (pow y 1/3))
1.0ms	(cbrt y)
2.0ms	(pow y 1/3)
2.0ms	(pow y 1/3)

series743.0ms

Counts

4 → 12

Calls

4 calls:

191.0ms	(* (pow y 1/3) (pow y 1/3))
187.0ms	(cbrt y)
178.0ms	(pow y 1/3)
186.0ms	(pow y 1/3)

simplify40.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	196	348
1	816	296
2	5001	285

prune413.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes284.0ms

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

sample2.0s

Algorithm

intervals

Results

831.0ms	23987×	body	80	nan
343.0ms	8026×	body	80	valid
1.0ms	3×	body	1280	valid
0.0ms	1×	body	640	valid