Details

sample62.0ms

Algorithm

intervals

Results

14.0ms	23×	body	1280	valid
11.0ms	202×	body	80	valid
10.0ms	32×	body	640	valid
3.0ms	84×	body	80	nan
3.0ms	13×	body	320	valid
1.0ms	9×	body	160	valid

simplify116.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 6 (29.0ms)

Iter	Nodes	Cost
0	18	7
1	27	7
2	54	7
3	111	7
4	314	7
5	801	7
6	4217	6
7	5001	6

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 3.1b

localize9.0ms

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)))

rewrite201.0ms

Algorithm

rewrite-expression-head

Rules

249×	`times-frac`
207×	`*-un-lft-identity`
198×	`log-prod`
144×	`exp-sum`
141×	`add-sqr-sqrt`
139×	`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×	`expm1-log1p-u` `associate-r` `log1p-expm1-u`
3×	`fma-def` `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 → 278

Calls

4 calls:

91.0ms	(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
57.0ms	(/ (exp (* y (log (/ y (+ z y))))) y)
25.0ms	(* y (log (/ y (+ z y))))
7.0ms	(log (/ y (+ z y)))

series362.0ms

Counts

4 → 12

Calls

4 calls:

84.0ms	(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
137.0ms	(/ (exp (* y (log (/ y (+ z y))))) y)
83.0ms	(* y (log (/ y (+ z y))))
58.0ms	(log (/ y (+ z y)))

simplify77.0ms

Algorithm

egg-herbie

Counts

290 → 290

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	868	3073
1	2712	2640
2	5001	2626

prune650.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

4×	`*-un-lft-identity`
3×	`fma-def` `add-log-exp`
2×	`add-sqr-sqrt` `add-cube-cbrt`
1×	`pow1` `add-exp-log` `+-commutative` `expm1-log1p-u` `flip3-+` `sum-log` `add-cbrt-cube` `flip-+` `log1p-expm1-u` `distribute-lft-out`

Counts

1 → 17

Calls

1 calls:

13.0ms

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

series29.0ms

Counts

1 → 3

Calls

1 calls:

29.0ms

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

simplify96.0ms

Algorithm

egg-herbie

Counts

20 → 20

Iterations

Useful iterations: 3 (24.0ms)

Iter	Nodes	Cost
0	89	102
1	291	78
2	832	73
3	2503	71
4	5001	71

prune50.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

13×	`*-un-lft-identity`
11×	`add-sqr-sqrt` `add-cube-cbrt`
9×	`times-frac`
4×	`add-cbrt-cube` `add-log-exp`
3×	`add-exp-log` `fma-def` `associate-/r` `associate-/l`
2×	`pow1` `expm1-log1p-u` `log1p-expm1-u`
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 → 47

Calls

2 calls:

13.0ms	(+ x (/ (exp (* -1 z)) y))
10.0ms	(/ (exp (* -1 z)) y)

series46.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(+ x (/ (exp (* -1 z)) y))
21.0ms	(/ (exp (* -1 z)) y)

simplify65.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 2 (15.0ms)

Iter	Nodes	Cost
0	184	292
1	491	275
2	2110	271
3	5001	271

prune134.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

24×	`times-frac`
23×	`*-un-lft-identity`
21×	`add-sqr-sqrt` `add-cube-cbrt`
12×	`unpow-prod-down`
8×	`add-exp-log` `associate-/l*`
5×	`add-cbrt-cube` `add-log-exp`
4×	`unpow2` `sqr-pow`
3×	`pow1` `expm1-log1p-u` `fma-def` `div-exp` `associate-/r*` `log1p-expm1-u`
2×	`fma-udef`
1×	`cbrt-undiv` `+-commutative` `pow-to-exp` `associate-+r+` `frac-2neg` `flip3-+` `pow-exp` `clear-num` `sum-log` `flip-+` `div-inv` `distribute-lft-out`

Counts

3 → 79

Calls

3 calls:

6.0ms	(+ x (fma 1/2 (/ (pow z 2) y) (- (/ 1 y) (/ z y))))
0.0ms	(fma 1/2 (/ (pow z 2) y) (- (/ 1 y) (/ z y)))
10.0ms	(/ (pow z 2) y)

series110.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(+ x (fma 1/2 (/ (pow z 2) y) (- (/ 1 y) (/ z y))))
39.0ms	(fma 1/2 (/ (pow z 2) y) (- (/ 1 y) (/ z y)))
20.0ms	(/ (pow z 2) y)

simplify161.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	247	523
1	806	470
2	4922	466
3	5001	466

prune233.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes68.0ms

Accuracy

71.4% (0.6b remaining)

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

bsearch46.0ms

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	23	11
1	23	11

end0.0ms

sample1.5s

Algorithm

intervals

Results

336.0ms	794×	body	1280	valid
298.0ms	6625×	body	80	valid
217.0ms	879×	body	640	valid
96.0ms	3127×	body	80	nan
93.0ms	555×	body	320	valid
31.0ms	303×	body	160	valid