Details

sample62.0ms

Algorithm

intervals

Results

24.0ms	290×	body	80	valid
21.0ms	307×	body	80	nan

simplify59.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

localize9.0ms

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)))

rewrite66.0ms

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:

14.0ms	(+ (- 1.0 z) (log z))
9.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
42.0ms	(* y (+ (- 1.0 z) (log z)))

series302.0ms

Counts

3 → 9

Calls

3 calls:

167.0ms	(+ (- 1.0 z) (log z))
58.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
77.0ms	(* y (+ (- 1.0 z) (log z)))

simplify45.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 2 (39.0ms)

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

prune144.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(* y (- 1.0 z))
0.1b	(+ (+ (* x 0.5) (* y (- 1.0 z))) (* y (log z)))
0.3b	(* y (log z))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 70

Calls

3 calls:

9.0ms	(* y (- 1.0 z))
12.0ms	(+ (+ (* x 0.5) (* y (- 1.0 z))) (* y (log z)))
4.0ms	(* y (log z))

series133.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(* y (- 1.0 z))
62.0ms	(+ (+ (* x 0.5) (* y (- 1.0 z))) (* y (log z)))
38.0ms	(* y (log z))

simplify50.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	344	436
1	1408	385
2	5002	367

prune160.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b	(* y (+ (- (+ (* 2 (log (cbrt z))) 1.0) z) (log (cbrt z))))
0.2b	(+ (- (+ (* 2 (log (cbrt z))) 1.0) z) (log (cbrt z)))
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite288.0ms

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:

206.0ms	(* y (+ (- (+ (* 2 (log (cbrt z))) 1.0) z) (log (cbrt z))))
79.0ms	(+ (- (+ (* 2 (log (cbrt z))) 1.0) z) (log (cbrt z)))
0.0ms	(cbrt z)
1.0ms	(cbrt z)

series884.0ms

Counts

4 → 12

Calls

4 calls:

181.0ms	(* y (+ (- (+ (* 2 (log (cbrt z))) 1.0) z) (log (cbrt z))))
340.0ms	(+ (- (+ (* 2 (log (cbrt z))) 1.0) z) (log (cbrt z)))
178.0ms	(cbrt z)
185.0ms	(cbrt z)

simplify43.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 2 (36.0ms)

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

prune266.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b	(* y (* 2 (log (cbrt z))))
0.3b	(+ (* y (* 2 (log (cbrt z)))) (* y (log (cbrt z))))
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

60×	`log-prod`
54×	`distribute-rgt-in` `distribute-lft-in`
36×	`cbrt-prod`
27×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
24×	`associate-+l+`
12×	`associate-+r+`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`add-log-exp`
3×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`pow1/3`
1×	`+-commutative` `flip3-+` `associate-r` `sum-log` `*-commutative` `flip-+` `distribute-lft-out`

Counts

4 → 112

Calls

4 calls:

10.0ms	(* y (* 2 (log (cbrt z))))
16.0ms	(+ (* y (* 2 (log (cbrt z)))) (* y (log (cbrt z))))
0.0ms	(cbrt z)
1.0ms	(cbrt z)

series569.0ms

Counts

4 → 12

Calls

4 calls:

104.0ms	(* y (* 2 (log (cbrt z))))
102.0ms	(+ (* y (* 2 (log (cbrt z)))) (* y (log (cbrt z))))
180.0ms	(cbrt z)
183.0ms	(cbrt z)

simplify52.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	420	890
1	1310	777
2	5001	691

prune412.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes92.0ms

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	17	7
1	17	7

end0.0ms

sample1.7s

Algorithm

intervals

Results

752.0ms	9116×	body	80	valid
544.0ms	9044×	body	80	nan