Details

sample40.0ms

Algorithm

intervals

Results

11.0ms	300×	body	80	nan
11.0ms	301×	body	80	valid

simplify58.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	25	6
1	51	6
2	104	6
3	191	6
4	262	6
5	353	6
6	466	6
7	712	6
8	1110	6
9	1256	6
10	1257	6
11	1257	6

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 1 expressions with local error:

0.2b	(* y (+ (- 1.0 z) (log z)))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

11×	`*-un-lft-identity`
7×	`associate-r`
5×	`pow1` `add-sqr-sqrt`
4×	`distribute-lft-out`
3×	`add-exp-log` `add-cube-cbrt` `associate-l` `add-cbrt-cube`
2×	`associate-*r/` `log-pow` `distribute-lft-out--`
1×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `add-log-exp` `unswap-sqr`

Counts

1 → 26

Calls

1 calls:

10.0ms

(* y (+ (- 1.0 z) (log z)))

series76.0ms

Counts

1 → 3

Calls

1 calls:

76.0ms

(* y (+ (- 1.0 z) (log z)))

simplify89.0ms

Algorithm

egg-herbie

Counts

29 → 29

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	182	158
1	774	133
2	4006	133
3	5001	133

prune64.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(* y (- 1.0 z))
0.1b	(+ (* y (- 1.0 z)) (* y (log z)))
0.2b	(* y (log z))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
13×	`*-un-lft-identity`
12×	`log-prod`
11×	`add-cube-cbrt`
10×	`distribute-rgt-in` `distribute-lft-in`
9×	`associate-r`
8×	`pow1`
7×	`add-exp-log` `add-cbrt-cube`
6×	`associate-+r+` `associate-l`
5×	`add-log-exp`
4×	`sub-neg` `associate-+l+`
2×	`associate-r/` `pow-prod-down` `prod-exp` `-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `flip3--` `flip3-+` `sum-log` `log-pow` `flip--` `flip-+` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 73

Calls

3 calls:

6.0ms	(* y (- 1.0 z))
7.0ms	(+ (* y (- 1.0 z)) (* y (log z)))
5.0ms	(* y (log z))

series163.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(* y (- 1.0 z))
91.0ms	(+ (* y (- 1.0 z)) (* y (log z)))
40.0ms	(* y (log z))

simplify46.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	317	374
1	1383	337
2	5001	319

prune174.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b	(+ (* (- 1.0 (- z (* 2 (log (cbrt z))))) y) (* (log (cbrt z)) y))
0.3b	(* (log (cbrt z)) y)
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`pow1`
6×	`add-exp-log` `cbrt-prod` `add-cbrt-cube` `add-log-exp`
5×	`associate-l`
3×	`pow1/3` `associate-r`
2×	`log-pow`
1×	`+-commutative` `distribute-rgt-out` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

4 → 54

Calls

4 calls:

8.0ms	(+ (* (- 1.0 (- z (* 2 (log (cbrt z))))) y) (* (log (cbrt z)) y))
4.0ms	(* (log (cbrt z)) y)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series614.0ms

Counts

4 → 12

Calls

4 calls:

151.0ms	(+ (* (- 1.0 (- z (* 2 (log (cbrt z))))) y) (* (log (cbrt z)) y))
116.0ms	(* (log (cbrt z)) y)
173.0ms	(cbrt z)
174.0ms	(cbrt z)

simplify39.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	240	402
1	961	362
2	5001	337

prune231.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.1b	(+ (* (- 1.0 (- z (* 2 (log (cbrt z))))) y) (* 1 (* (log (pow z 1/3)) y)))
0.3b	(* (log (pow z 1/3)) y)
0.6b	(cbrt z)
4.9b	(pow z 1/3)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
9×	`add-cube-cbrt` `*-un-lft-identity`
7×	`pow1` `add-exp-log`
6×	`add-cbrt-cube` `add-log-exp`
4×	`associate-l`
3×	`cbrt-prod` `unpow-prod-down` `pow-unpow` `associate-r`
1×	`+-commutative` `pow-to-exp` `pow-pow` `flip3-+` `unpow1/3` `pow1/3` `pow-prod-down` `pow-exp` `prod-exp` `sum-log` `log-pow` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr` `sqr-pow`

Counts

4 → 59

Calls

4 calls:

8.0ms	(+ (* (- 1.0 (- z (* 2 (log (cbrt z))))) y) (* 1 (* (log (pow z 1/3)) y)))
4.0ms	(* (log (pow z 1/3)) y)
2.0ms	(cbrt z)
2.0ms	(pow z 1/3)

series644.0ms

Counts

4 → 12

Calls

4 calls:

186.0ms	(+ (* (- 1.0 (- z (* 2 (log (cbrt z))))) y) (* 1 (* (log (pow z 1/3)) y)))
104.0ms	(* (log (pow z 1/3)) y)
183.0ms	(cbrt z)
171.0ms	(pow z 1/3)

simplify48.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	329	427
1	1278	370
2	5002	350

prune265.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes170.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	12
1	32	12
2	32	12

end0.0ms

sample1.0s

Algorithm

intervals

Results

354.0ms	9122×	body	80	valid
281.0ms	9134×	body	80	nan