Details

sample37.0ms

Algorithm

intervals

Results

11.0ms	294×	body	80	valid
8.0ms	294×	body	80	nan

simplify59.0ms

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

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (- 1.0 z) (log z))
0.0b	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
0.1b	(* y (+ (- 1.0 z) (log z)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 61

Calls

3 calls:

7.0ms	(+ (- 1.0 z) (log z))
6.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
9.0ms	(* y (+ (- 1.0 z) (log z)))

series300.0ms

Counts

3 → 9

Calls

3 calls:

165.0ms	(+ (- 1.0 z) (log z))
58.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
78.0ms	(* y (+ (- 1.0 z) (log z)))

simplify47.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	359	419
1	1515	371
2	5002	370

prune153.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 75

Calls

4 calls:

13.0ms	(* y (+ (- (+ (* 2 (log (cbrt z))) 1.0) z) (log (cbrt z))))
11.0ms	(+ (- (+ (* 2 (log (cbrt z))) 1.0) z) (log (cbrt z)))
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series898.0ms

Counts

4 → 12

Calls

4 calls:

183.0ms	(* y (+ (- (+ (* 2 (log (cbrt z))) 1.0) z) (log (cbrt z))))
345.0ms	(+ (- (+ (* 2 (log (cbrt z))) 1.0) z) (log (cbrt z)))
189.0ms	(cbrt z)
180.0ms	(cbrt z)

simplify51.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	317	676
1	1327	594
2	5002	546

prune275.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

33×	`*-un-lft-identity`
26×	`unpow-prod-down`
25×	`add-sqr-sqrt`
23×	`add-cube-cbrt`
18×	`times-frac`
17×	`associate-+r+` `log-prod`
11×	`add-exp-log`
10×	`add-log-exp`
8×	`pow1`
6×	`add-cbrt-cube`
5×	`associate-r`
4×	`pow-exp` `sum-log` `distribute-lft-out`
3×	`cbrt-prod` `pow-unpow` `associate-+l+` `pow-pow` `associate-l`
2×	`flip3-+` `diff-log` `associate-*r/` `div-exp` `flip-+` `div-inv` `distribute-lft-out--` `sqr-pow`
1×	`+-commutative` `distribute-rgt-in` `pow-to-exp` `associate-+l-` `sub-neg` `rec-exp` `pow-flip` `distribute-lft-in` `pow1/3` `1-exp` `pow-prod-down` `prod-exp` `associate--l+` `*-commutative` `cbrt-unprod` `inv-pow` `unswap-sqr`

Counts

4 → 103

Calls

4 calls:

16.0ms	(* y (+ (- (+ (* 2 (log (cbrt z))) 1.0) z) (log (pow (/ 1 z) -1/3))))
14.0ms	(+ (- (+ (* 2 (log (cbrt z))) 1.0) z) (log (pow (/ 1 z) -1/3)))
1.0ms	(cbrt z)
5.0ms	(pow (/ 1 z) -1/3)

series1.3s

Counts

4 → 12

Calls

4 calls:

297.0ms	(* y (+ (- (+ (* 2 (log (cbrt z))) 1.0) z) (log (pow (/ 1 z) -1/3))))
653.0ms	(+ (- (+ (* 2 (log (cbrt z))) 1.0) z) (log (pow (/ 1 z) -1/3)))
182.0ms	(cbrt z)
180.0ms	(pow (/ 1 z) -1/3)

simplify79.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	580	966
1	2547	834
2	5001	780

prune404.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (- 1.0 z) (* 1 (log z)))
0.0b	(+ (* x 0.5) (* y (+ (- 1.0 z) (* 1 (log z)))))
0.1b	(* y (+ (- 1.0 z) (* 1 (log z))))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 60

Calls

3 calls:

7.0ms	(+ (- 1.0 z) (* 1 (log z)))
6.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (* 1 (log z)))))
9.0ms	(* y (+ (- 1.0 z) (* 1 (log z))))

series317.0ms

Counts

3 → 9

Calls

3 calls:

180.0ms	(+ (- 1.0 z) (* 1 (log z)))
57.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (* 1 (log z)))))
80.0ms	(* y (+ (- 1.0 z) (* 1 (log z))))

simplify52.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	402	480
1	1633	412
2	5001	407

prune166.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

regimes122.0ms

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	20	7
1	22	7
2	22	7

end0.0ms

sample1.0s

Algorithm

intervals

Results

344.0ms	9197×	body	80	valid
263.0ms	8999×	body	80	nan