Details

sample39.0ms

Algorithm

intervals

Results

10.0ms	308×	body	80	valid
8.0ms	292×	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

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite125.0ms

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:

19.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
28.0ms	(+ (- 1.0 z) (log z))
76.0ms	(* y (+ (- 1.0 z) (log z)))

series281.0ms

Counts

3 → 9

Calls

3 calls:

57.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
155.0ms	(+ (- 1.0 z) (log z))
69.0ms	(* y (+ (- 1.0 z) (log z)))

simplify43.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	359	419
1	1515	371
2	5001	370

prune141.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x 0.5) (+ (* y (- 1.0 z)) (* y (log z))))
0.0b	(* y (- 1.0 z))
0.2b	(+ (* y (- 1.0 z)) (* y (log z)))
0.2b	(* y (log z))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 86

Calls

4 calls:

26.0ms	(+ (* x 0.5) (+ (* y (- 1.0 z)) (* y (log z))))
22.0ms	(* y (- 1.0 z))
14.0ms	(+ (* y (- 1.0 z)) (* y (log z)))
8.0ms	(* y (log z))

series209.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(+ (* x 0.5) (+ (* y (- 1.0 z)) (* y (log z))))
35.0ms	(* y (- 1.0 z))
87.0ms	(+ (* y (- 1.0 z)) (* y (log z)))
35.0ms	(* y (log z))

simplify61.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	436	538
1	1993	482
2	5001	472

prune200.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite156.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 110

Calls

4 calls:

28.0ms	(+ (- 1.0 z) (log (sqrt z)))
35.0ms	(+ (* y (+ (- 1.0 z) (log (sqrt z)))) (* y (log (sqrt z))))
79.0ms	(* y (+ (- 1.0 z) (log (sqrt z))))
10.0ms	(* y (log (sqrt z)))

series323.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(+ (- 1.0 z) (log (sqrt z)))
105.0ms	(+ (* y (+ (- 1.0 z) (log (sqrt z)))) (* y (log (sqrt z))))
83.0ms	(* y (+ (- 1.0 z) (log (sqrt z))))
78.0ms	(* y (log (sqrt z)))

simplify61.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	509	902
1	2007	817
2	5002	772

prune296.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

42×	`log-prod`
36×	`cbrt-prod`
26×	`add-sqr-sqrt`
24×	`add-cube-cbrt` `*-un-lft-identity`
21×	`sqrt-prod`
18×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in`
7×	`pow1`
6×	`add-exp-log` `associate-+l+` `add-cbrt-cube`
5×	`associate-r` `add-log-exp`
3×	`pow1/3` `associate-l`
2×	`log-pow`
1×	`+-commutative` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

4 → 101

Calls

4 calls:

11.0ms	(* y (log (cbrt (sqrt z))))
14.0ms	(+ (log (sqrt z)) (* 2 (log (cbrt (sqrt z)))))
1.0ms	(cbrt (sqrt z))
2.0ms	(cbrt (sqrt z))

series571.0ms

Counts

4 → 12

Calls

4 calls:

117.0ms	(* y (log (cbrt (sqrt z))))
156.0ms	(+ (log (sqrt z)) (* 2 (log (cbrt (sqrt z)))))
151.0ms	(cbrt (sqrt z))
146.0ms	(cbrt (sqrt z))

simplify129.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 3 (120.0ms)

Iter	Nodes	Cost
0	397	845
1	1200	782
2	4882	753
3	5001	751

prune422.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes140.0ms

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

sample1.1s

Algorithm

intervals

Results

327.0ms	9191×	body	80	valid
231.0ms	9005×	body	80	nan