Details

sample50.0ms

Algorithm

intervals

Results

10.0ms	228×	body	80	valid
10.0ms	22×	body	1280	valid
6.0ms	25×	body	640	valid
3.0ms	108×	body	80	nan
3.0ms	19×	body	320	valid
1.0ms	6×	body	160	valid
1.0ms	11×	body	80	overflowed

simplify115.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 6 (28.0ms)

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: 3.8b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ y (+ z y))
0.1b	(exp (* y (log (/ y (+ z y)))))
0.1b	(* y (log (/ y (+ z y))))
10.8b	(log (/ y (+ z y)))

rewrite64.0ms

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:

10.0ms	(/ y (+ z y))
17.0ms	(exp (* y (log (/ y (+ z y)))))
20.0ms	(* y (log (/ y (+ z y))))
6.0ms	(log (/ y (+ z y)))

series353.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(/ y (+ z y))
201.0ms	(exp (* y (log (/ y (+ z y)))))
71.0ms	(* y (log (/ y (+ z y))))
42.0ms	(log (/ y (+ z y)))

simplify58.0ms

Algorithm

egg-herbie

Counts

183 → 183

Iterations

Useful iterations: 2 (44.0ms)

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

prune373.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (pow (exp y) (log (/ y (+ z y)))) y)
0.0b	(/ y (+ z y))
0.1b	(pow (exp y) (log (/ y (+ z y))))
10.8b	(log (/ y (+ z y)))

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

159×	`times-frac`
142×	`*-un-lft-identity`
108×	`log-prod`
98×	`add-sqr-sqrt` `add-cube-cbrt`
90×	`unpow-prod-up`
28×	`associate-/l*`
22×	`distribute-lft-out`
15×	`unpow-prod-down`
14×	`associate-/r/`
13×	`add-exp-log`
8×	`add-cbrt-cube` `div-inv`
7×	`pow1` `flip3-+` `associate-/r*` `flip-+`
5×	`div-exp` `sqr-pow`
4×	`expm1-log1p-u` `pow-unpow` `pow-pow` `log1p-expm1-u` `add-log-exp`
3×	`log-div` `exp-prod`
2×	`cbrt-undiv` `pow-to-exp` `frac-2neg` `rem-log-exp` `pow-exp` `clear-num` `log-pow` `pow-sub`
1×	`associate-/l/`

Counts

4 → 228

Calls

4 calls:

30.0ms	(/ (pow (exp y) (log (/ y (+ z y)))) y)
11.0ms	(/ y (+ z y))
13.0ms	(pow (exp y) (log (/ y (+ z y))))
6.0ms	(log (/ y (+ z y)))

series301.0ms

Counts

4 → 12

Calls

4 calls:

90.0ms	(/ (pow (exp y) (log (/ y (+ z y)))) y)
39.0ms	(/ y (+ z y))
125.0ms	(pow (exp y) (log (/ y (+ z y))))
46.0ms	(log (/ y (+ z y)))

simplify74.0ms

Algorithm

egg-herbie

Counts

240 → 240

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	686	2318
1	2867	2267
2	5002	2230

prune703.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt y)
0.5b	(cbrt y)
0.5b	(cbrt y)
10.8b	(log (/ y (+ z y)))

rewrite14.0ms

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:

4.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)
6.0ms	(log (/ y (+ z y)))

series567.0ms

Counts

4 → 12

Calls

4 calls:

171.0ms	(cbrt y)
180.0ms	(cbrt y)
174.0ms	(cbrt y)
42.0ms	(log (/ y (+ z y)))

simplify45.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 3 (40.0ms)

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

prune276.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (* 1 (pow (/ y (+ z y)) y)) y))
0.0b	(/ (* 1 (pow (/ y (+ z y)) y)) y)
0.0b	(/ y (+ z y))
6.8b	(pow (/ y (+ z y)) y)

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

41×	`*-un-lft-identity`
31×	`add-exp-log`
27×	`times-frac`
25×	`add-sqr-sqrt` `add-cube-cbrt`
18×	`unpow-prod-down`
13×	`div-exp`
11×	`add-cbrt-cube`
8×	`prod-exp` `distribute-lft-out`
7×	`associate-/r*`
6×	`pow-exp` `add-log-exp`
5×	`pow1`
4×	`expm1-log1p-u` `1-exp` `associate-/r/` `log1p-expm1-u` `associate-/l*`
3×	`cbrt-undiv` `pow-to-exp` `pow-unpow` `fma-def` `flip3-+` `flip-+` `div-inv`
2×	`frac-2neg` `clear-num`
1×	`+-commutative` `pow-pow` `sum-log` `cbrt-unprod` `sqr-pow`

Counts

4 → 117

Calls

4 calls:

9.0ms	(+ x (/ (* 1 (pow (/ y (+ z y)) y)) y))
25.0ms	(/ (* 1 (pow (/ y (+ z y)) y)) y)
11.0ms	(/ y (+ z y))
13.0ms	(pow (/ y (+ z y)) y)

series437.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(+ x (/ (* 1 (pow (/ y (+ z y)) y)) y))
118.0ms	(/ (* 1 (pow (/ y (+ z y)) y)) y)
40.0ms	(/ y (+ z y))
208.0ms	(pow (/ y (+ z y)) y)

simplify64.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	553	776
1	2430	733
2	5002	726

prune287.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes58.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	7
1	12	7

end0.0ms

sample1.5s

Algorithm

intervals

Results

319.0ms	6907×	body	80	valid
312.0ms	719×	body	1280	valid
204.0ms	796×	body	640	valid
101.0ms	3134×	body	80	nan
78.0ms	482×	body	320	valid
32.0ms	309×	body	160	valid
23.0ms	474×	body	80	overflowed