Details

sample82.0ms

Algorithm

intervals

Results

25.0ms	208×	body	80	valid
13.0ms	20×	body	1280	valid
11.0ms	25×	body	640	valid
8.0ms	18×	body	320	valid
8.0ms	98×	body	80	nan
3.0ms	11×	body	160	valid

simplify110.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 6 (27.0ms)

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

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 3.5b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ y (+ z y))
0.0b	(exp (* y (log (/ y (+ z y)))))
0.1b	(* y (log (/ y (+ z y))))
7.9b	(log (/ y (+ z y)))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

93×	`*-un-lft-identity`
90×	`log-prod`
72×	`times-frac`
57×	`add-sqr-sqrt`
55×	`add-cube-cbrt`
36×	`distribute-rgt-in` `distribute-lft-in` `exp-sum`
19×	`distribute-lft-out`
12×	`associate-/r/`
11×	`add-exp-log`
8×	`pow1` `add-cbrt-cube`
6×	`flip3-+` `flip-+` `div-inv` `add-log-exp`
4×	`expm1-log1p-u` `associate-r` `associate-/r*` `log1p-expm1-u`
3×	`associate-l` `associate-/l*`
2×	`div-exp` `rem-log-exp` `log-pow`
1×	`cbrt-undiv` `log-div` `exp-prod` `exp-to-pow` `frac-2neg` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `rem-exp-log` `unswap-sqr`

Counts

4 → 171

Calls

4 calls:

6.0ms	(/ y (+ z y))
13.0ms	(exp (* y (log (/ y (+ z y)))))
11.0ms	(* y (log (/ y (+ z y))))
4.0ms	(log (/ y (+ z y)))

series398.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(/ y (+ z y))
229.0ms	(exp (* y (log (/ y (+ z y)))))
83.0ms	(* y (log (/ y (+ z y))))
48.0ms	(log (/ y (+ z y)))

simplify236.0ms

Algorithm

egg-herbie

Counts

183 → 183

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	538	1275
1	2098	1187
2	5001	1177

prune379.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (pow (exp y) (log (/ y (+ z y)))) y))
0.0b	(/ y (+ z y))
0.1b	(pow (exp y) (log (/ y (+ z y))))
7.9b	(log (/ y (+ z y)))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

55×	`*-un-lft-identity`
36×	`log-prod` `times-frac`
33×	`add-sqr-sqrt` `add-cube-cbrt`
18×	`unpow-prod-up`
11×	`distribute-lft-out`
9×	`add-exp-log`
7×	`pow1`
6×	`associate-/r/` `add-cbrt-cube` `add-log-exp`
4×	`expm1-log1p-u` `pow-unpow` `pow-pow` `flip3-+` `associate-/r*` `flip-+` `log1p-expm1-u`
3×	`unpow-prod-down` `exp-prod` `fma-def` `div-inv` `associate-/l*`
2×	`log-div` `div-exp` `rem-log-exp` `log-pow`
1×	`cbrt-undiv` `+-commutative` `pow-to-exp` `frac-2neg` `pow-exp` `clear-num` `sum-log` `pow-sub` `sqr-pow`

Counts

4 → 125

Calls

4 calls:

42.0ms	(+ x (/ (pow (exp y) (log (/ y (+ z y)))) y))
5.0ms	(/ y (+ z y))
6.0ms	(pow (exp y) (log (/ y (+ z y))))
4.0ms	(log (/ y (+ z y)))

series308.0ms

Counts

4 → 12

Calls

4 calls:

83.0ms	(+ x (/ (pow (exp y) (log (/ y (+ z y)))) y))
41.0ms	(/ y (+ z y))
135.0ms	(pow (exp y) (log (/ y (+ z y))))
49.0ms	(log (/ y (+ z y)))

simplify53.0ms

Algorithm

egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	525	945
1	1814	900
2	5001	883

prune369.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt y)
0.5b	(cbrt y)
0.5b	(cbrt y)
7.9b	(log (/ y (+ z y)))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

21×	`*-un-lft-identity`
18×	`log-prod`
15×	`add-sqr-sqrt` `add-cube-cbrt`
12×	`times-frac`
9×	`cbrt-prod`
7×	`add-exp-log`
5×	`pow1`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `distribute-lft-out`
2×	`rem-log-exp` `associate-/r/`
1×	`log-div` `flip3-+` `div-exp` `log-pow` `flip-+` `div-inv`

Counts

4 → 70

Calls

4 calls:

0.0ms	(cbrt y)
0.0ms	(cbrt y)
0.0ms	(cbrt y)
4.0ms	(log (/ y (+ z y)))

series584.0ms

Counts

4 → 12

Calls

4 calls:

185.0ms	(cbrt y)
179.0ms	(cbrt y)
171.0ms	(cbrt y)
49.0ms	(log (/ y (+ z y)))

simplify46.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 3 (41.0ms)

Iter	Nodes	Cost
0	194	335
1	435	313
2	1273	298
3	5002	293

prune281.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite11.0ms

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:

6.0ms	(+ x (/ (exp (* -1 z)) y))
3.0ms	(/ (exp (* -1 z)) y)

series40.0ms

Counts

2 → 6

Calls

2 calls:

21.0ms	(+ x (/ (exp (* -1 z)) y))
19.0ms	(/ (exp (* -1 z)) y)

simplify64.0ms

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

prune121.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes69.0ms

Accuracy

0% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 1.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	12
1	16	12

end0.0ms

sample2.6s

Algorithm

intervals

Results

794.0ms	6569×	body	80	valid
519.0ms	746×	body	1280	valid
442.0ms	934×	body	640	valid
272.0ms	3148×	body	80	nan
187.0ms	554×	body	320	valid
72.0ms	299×	body	160	valid