Details

sample53.0ms

Algorithm

intervals

Results

21.0ms	257×	body	80	valid
17.0ms	275×	body	80	nan

simplify148.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	21	6
1	61	6
2	192	6
3	649	6
4	1602	6
5	2720	6
6	3667	6
7	4387	6
8	4711	6
9	4956	6
10	5001	6

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
0.0b	(- x (* (+ y 0.5) (log y)))
0.1b	(+ (- x (* (+ y 0.5) (log y))) y)
0.2b	(* (+ y 0.5) (log y))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 81

Calls

4 calls:

51.0ms	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
3.0ms	(- x (* (+ y 0.5) (log y)))
12.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
10.0ms	(* (+ y 0.5) (log y))

series371.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
36.0ms	(- x (* (+ y 0.5) (log y)))
42.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
238.0ms	(* (+ y 0.5) (log y))

simplify45.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	446	640
1	1624	599
2	5001	591

prune222.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (* (+ y 0.5) (log y)))
0.1b	(+ (- x (* (+ y 0.5) (log y))) (- y z))
0.2b	(* (+ y 0.5) (log y))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 72

Calls

3 calls:

3.0ms	(- x (* (+ y 0.5) (log y)))
14.0ms	(+ (- x (* (+ y 0.5) (log y))) (- y z))
10.0ms	(* (+ y 0.5) (log y))

series345.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(- x (* (+ y 0.5) (log y)))
58.0ms	(+ (- x (* (+ y 0.5) (log y))) (- y z))
250.0ms	(* (+ y 0.5) (log y))

simplify56.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	502	653
1	1987	618
2	5001	610

prune206.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (- (* (+ y 0.5) (log y)) (- y z)))
0.1b	(- (* (+ y 0.5) (log y)) (- y z))
0.2b	(* (+ y 0.5) (log y))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 80

Calls

3 calls:

25.0ms	(- x (- (* (+ y 0.5) (log y)) (- y z)))
10.0ms	(- (* (+ y 0.5) (log y)) (- y z))
11.0ms	(* (+ y 0.5) (log y))

series350.0ms

Counts

3 → 9

Calls

3 calls:

49.0ms	(- x (- (* (+ y 0.5) (log y)) (- y z)))
55.0ms	(- (* (+ y 0.5) (log y)) (- y z))
246.0ms	(* (+ y 0.5) (log y))

simplify52.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	541	669
1	1981	633
2	5001	619

prune228.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (log (cbrt y)) (+ y 0.5))
0.3b	(+ (* (+ y 0.5) (* 2 (log (cbrt y)))) (* (log (cbrt y)) (+ y 0.5)))
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 88

Calls

4 calls:

10.0ms	(* (log (cbrt y)) (+ y 0.5))
14.0ms	(+ (* (+ y 0.5) (* 2 (log (cbrt y)))) (* (log (cbrt y)) (+ y 0.5)))
0.0ms	(cbrt y)
1.0ms	(cbrt y)

series1.6s

Counts

4 → 12

Calls

4 calls:

442.0ms	(* (log (cbrt y)) (+ y 0.5))
776.0ms	(+ (* (+ y 0.5) (* 2 (log (cbrt y)))) (* (log (cbrt y)) (+ y 0.5)))
178.0ms	(cbrt y)
175.0ms	(cbrt y)

simplify73.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 2 (65.0ms)

Iter	Nodes	Cost
0	526	799
1	2323	695
2	5002	673

prune337.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

regimes78.0ms

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

sample1.5s

Algorithm

intervals

Results

661.0ms	8037×	body	80	valid
527.0ms	8029×	body	80	nan
1.0ms	1×	body	1280	valid
0.0ms	1×	body	320	valid