Details

sample48.0ms

Algorithm

intervals

Results

11.0ms	23×	body	1280	valid
9.0ms	202×	body	80	valid
8.0ms	32×	body	640	valid
3.0ms	84×	body	80	nan
2.0ms	13×	body	320	valid
1.0ms	9×	body	160	valid

simplify119.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	18	7
1	27	7
2	54	7
3	109	7
4	307	7
5	777	7
6	4145	7
7	5002	7

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.2b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
0.0b	(/ (exp (* y (log (/ y (+ z y))))) y)
0.1b	(* y (log (/ y (+ z y))))
5.4b	(log (/ y (+ z y)))

rewrite186.0ms

Algorithm

rewrite-expression-head

Rules

249×	`times-frac`
206×	`*-un-lft-identity`
198×	`log-prod`
144×	`exp-sum`
140×	`add-sqr-sqrt`
138×	`add-cube-cbrt`
90×	`distribute-rgt-in` `distribute-lft-in`
39×	`associate-/l*`
34×	`distribute-lft-out`
22×	`associate-/r/`
12×	`flip3-+` `flip-+` `div-inv`
10×	`add-exp-log`
8×	`pow1` `add-cbrt-cube`
6×	`add-log-exp`
4×	`associate-r`
3×	`associate-l` `associate-/r*`
2×	`div-exp` `rem-log-exp` `log-pow`
1×	`cbrt-undiv` `+-commutative` `log-div` `frac-2neg` `pow-prod-down` `prod-exp` `clear-num` `sum-log` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 267

Calls

4 calls:

85.0ms	(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
55.0ms	(/ (exp (* y (log (/ y (+ z y))))) y)
20.0ms	(* y (log (/ y (+ z y))))
6.0ms	(log (/ y (+ z y)))

series351.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
135.0ms	(/ (exp (* y (log (/ y (+ z y))))) y)
77.0ms	(* y (log (/ y (+ z y))))
59.0ms	(log (/ y (+ z y)))

simplify78.0ms

Algorithm

egg-herbie

Counts

279 → 279

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	852	3026
1	2649	2601
2	5001	2592

prune566.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ x (/ (exp 0) y))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

3×	`*-un-lft-identity` `add-log-exp`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `flip3-+` `sum-log` `add-cbrt-cube` `flip-+` `distribute-lft-out`

Counts

1 → 12

Calls

1 calls:

11.0ms

(+ x (/ (exp 0) y))

series18.0ms

Counts

1 → 3

Calls

1 calls:

18.0ms

(+ x (/ (exp 0) y))

simplify133.0ms

Algorithm

egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 4 (52.0ms)

Iter	Nodes	Cost
0	79	74
1	253	61
2	706	60
3	1632	58
4	4894	57
5	5001	57

prune33.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (/ (exp (* -1 z)) y))
0.0b	(/ (exp (* -1 z)) y)

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

12×	`*-un-lft-identity`
10×	`add-sqr-sqrt` `add-cube-cbrt`
9×	`times-frac`
4×	`add-cbrt-cube` `add-log-exp`
3×	`add-exp-log` `associate-/r` `associate-/l`
2×	`pow1`
1×	`cbrt-undiv` `+-commutative` `exp-neg` `frac-2neg` `mul-1-neg` `flip3-+` `div-exp` `clear-num` `sum-log` `flip-+` `div-inv` `associate-/l/` `distribute-lft-out`

Counts

2 → 40

Calls

2 calls:

15.0ms	(+ x (/ (exp (* -1 z)) y))
10.0ms	(/ (exp (* -1 z)) y)

series45.0ms

Counts

2 → 6

Calls

2 calls:

24.0ms	(+ x (/ (exp (* -1 z)) y))
21.0ms	(/ (exp (* -1 z)) y)

simplify64.0ms

Algorithm

egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 2 (15.0ms)

Iter	Nodes	Cost
0	176	274
1	464	258
2	2001	256
3	5002	256

prune105.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 1/2 (/ (pow z 2) y))
0.0b	(+ x (- (+ (/ 1 y) (* 1/2 (/ (pow z 2) y))) (/ z y)))
1.0b	(- (+ (/ 1 y) (* 1/2 (/ (pow z 2) y))) (/ z y))
4.7b	(/ (pow z 2) y)

rewrite288.0ms

Algorithm

rewrite-expression-head

Rules

54×	`add-sqr-sqrt`
53×	`times-frac`
44×	`*-un-lft-identity`
37×	`add-cube-cbrt`
28×	`associate-r`
22×	`unpow-prod-down`
19×	`add-exp-log`
18×	`add-log-exp`
11×	`add-cbrt-cube`
8×	`associate-/l*` `unpow2` `sqr-pow`
6×	`pow1` `div-exp`
5×	`sum-log` `unswap-sqr`
4×	`diff-log` `prod-exp`
3×	`associate-+r+` `associate-l` `associate-/r*` `frac-sub`
2×	`cbrt-undiv` `pow-to-exp` `sub-neg` `flip3-+` `associate-*r/` `pow-exp` `associate--l+` `cbrt-unprod` `flip-+` `div-inv` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares`
1×	`+-commutative` `associate-+r-` `flip3--` `frac-2neg` `pow-prod-down` `frac-add` `clear-num` `*-commutative` `flip--`

Counts

4 → 140

Calls

4 calls:

21.0ms	(* 1/2 (/ (pow z 2) y))
155.0ms	(+ x (- (+ (/ 1 y) (* 1/2 (/ (pow z 2) y))) (/ z y)))
99.0ms	(- (+ (/ 1 y) (* 1/2 (/ (pow z 2) y))) (/ z y))
9.0ms	(/ (pow z 2) y)

series143.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(* 1/2 (/ (pow z 2) y))
50.0ms	(+ x (- (+ (/ 1 y) (* 1/2 (/ (pow z 2) y))) (/ z y)))
44.0ms	(- (+ (/ 1 y) (* 1/2 (/ (pow z 2) y))) (/ z y))
20.0ms	(/ (pow z 2) y)

simplify73.0ms

Algorithm

egg-herbie

Counts

152 → 152

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	561	1034
1	2681	924
2	5001	922

prune335.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes65.0ms

Accuracy

71.4% (0.6b remaining)

Error of 0.7b against oracle of 0.1b and baseline of 2.2b

bsearch40.0ms

Steps

Iters	Range		Point
10	0.5456674408319693	8066059238664.304	0.5563468047611133

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	10
1	22	10

end0.0ms

sample1.5s

Algorithm

intervals

Results

337.0ms	794×	body	1280	valid
305.0ms	6625×	body	80	valid
224.0ms	879×	body	640	valid
98.0ms	3127×	body	80	nan
89.0ms	555×	body	320	valid
31.0ms	303×	body	160	valid