Details

sample49.0ms

Algorithm

intervals

Results

11.0ms	26×	body	1280	valid
10.0ms	223×	body	80	valid
9.0ms	34×	body	640	valid
3.0ms	102×	body	80	nan
2.0ms	10×	body	320	valid
1.0ms	5×	body	160	valid

simplify118.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 6 (30.0ms)

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

localize13.0ms

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)))))
0.1b	(* y (log (/ y (+ z y))))
9.6b	(log (/ y (+ z y)))

rewrite100.0ms

Algorithm

rewrite-expression-head

Rules

90×	`log-prod`
79×	`*-un-lft-identity`
60×	`times-frac`
49×	`add-sqr-sqrt`
47×	`add-cube-cbrt`
36×	`distribute-rgt-in` `distribute-lft-in` `exp-sum`
16×	`distribute-lft-out`
10×	`associate-/r/`
9×	`add-exp-log`
8×	`pow1` `add-log-exp`
6×	`flip3-+` `add-cbrt-cube` `flip-+`
5×	`div-inv`
4×	`expm1-log1p-u` `associate-r` `log1p-expm1-u`
3×	`fma-def` `associate-l`
2×	`rem-log-exp` `log-pow`
1×	`+-commutative` `log-div` `exp-prod` `exp-to-pow` `div-exp` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `rem-exp-log` `unswap-sqr`

Counts

4 → 153

Calls

4 calls:

68.0ms	(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
10.0ms	(exp (* y (log (/ y (+ z y)))))
11.0ms	(* y (log (/ y (+ z y))))
4.0ms	(log (/ y (+ z y)))

series435.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
228.0ms	(exp (* y (log (/ y (+ z y)))))
79.0ms	(* y (log (/ y (+ z y))))
52.0ms	(log (/ y (+ z y)))

simplify56.0ms

Algorithm

egg-herbie

Counts

165 → 165

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	582	1288
1	1993	1191
2	5002	1169

prune533.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ z y))
0.6b	(cbrt (+ z y))
3.9b	(log (/ (cbrt y) (cbrt (+ z y))))
3.9b	(log (/ (cbrt y) (cbrt (+ z y))))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

98×	`cbrt-prod`
96×	`log-prod`
88×	`*-un-lft-identity`
84×	`times-frac`
60×	`add-sqr-sqrt` `add-cube-cbrt`
14×	`distribute-lft-out`
10×	`add-exp-log`
8×	`cbrt-div`
6×	`pow1`
4×	`expm1-log1p-u` `flip3-+` `rem-log-exp` `associate-/r/` `add-cbrt-cube` `flip-+` `log1p-expm1-u` `add-log-exp`
2×	`log-div` `pow1/3` `div-exp` `log-pow` `div-inv`

Counts

4 → 154

Calls

4 calls:

2.0ms	(cbrt (+ z y))
2.0ms	(cbrt (+ z y))
6.0ms	(log (/ (cbrt y) (cbrt (+ z y))))
6.0ms	(log (/ (cbrt y) (cbrt (+ z y))))

series396.0ms

Counts

4 → 12

Calls

4 calls:

126.0ms	(cbrt (+ z y))
123.0ms	(cbrt (+ z y))
72.0ms	(log (/ (cbrt y) (cbrt (+ z y))))
75.0ms	(log (/ (cbrt y) (cbrt (+ z y))))

simplify140.0ms

Algorithm

egg-herbie

Counts

166 → 166

Iterations

Useful iterations: 3 (125.0ms)

Iter	Nodes	Cost
0	361	1602
1	991	1550
2	4162	1518
3	5001	1508

prune718.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `times-frac`
3×	`associate-/r` `add-cbrt-cube` `associate-/l`
2×	`add-exp-log`
1×	`pow1` `cbrt-undiv` `exp-neg` `expm1-log1p-u` `frac-2neg` `mul-1-neg` `div-exp` `clear-num` `log1p-expm1-u` `div-inv` `associate-/l/` `add-log-exp`

Counts

1 → 30

Calls

1 calls:

3.0ms

(/ (exp (* -1 z)) y)

series20.0ms

Counts

1 → 3

Calls

1 calls:

20.0ms

(/ (exp (* -1 z)) y)

simplify51.0ms

Algorithm

egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 2 (12.0ms)

Iter	Nodes	Cost
0	117	194
1	313	180
2	1514	177
3	5001	177

prune75.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b	(* y (log (/ y (+ z y))))
0.2b	(pow (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) 3)
9.6b	(log (/ y (+ z y)))
39.9b	(cbrt (pow (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) 3))

rewrite286.0ms

Algorithm

rewrite-expression-head

Rules

62×	`*-un-lft-identity`
54×	`log-prod`
38×	`add-sqr-sqrt`
36×	`add-cube-cbrt` `times-frac`
18×	`distribute-rgt-in` `distribute-lft-in`
14×	`cbrt-prod`
13×	`distribute-lft-out`
10×	`add-exp-log`
9×	`pow1`
8×	`unpow-prod-down` `cube-prod`
7×	`add-cbrt-cube`
6×	`associate-/r/`
5×	`flip3-+` `flip-+`
4×	`cube-div` `expm1-log1p-u` `associate-r` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `associate-l` `div-inv`
2×	`cube-mult` `cbrt-div` `unpow3` `rem-log-exp` `log-pow` `sqr-pow`
1×	`pow-to-exp` `log-div` `pow-pow` `pow1/3` `div-exp` `pow-prod-down` `pow-exp` `prod-exp` `*-commutative` `rem-cbrt-cube` `cbrt-unprod` `rem-cube-cbrt` `unswap-sqr`

Counts

4 → 144

Calls

4 calls:

11.0ms	(* y (log (/ y (+ z y))))
132.0ms	(pow (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) 3)
4.0ms	(log (/ y (+ z y)))
133.0ms	(cbrt (pow (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) 3))

series410.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(* y (log (/ y (+ z y))))
195.0ms	(pow (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) 3)
49.0ms	(log (/ y (+ z y)))
85.0ms	(cbrt (pow (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) 3))

simplify69.0ms

Algorithm

egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	509	1477
1	2111	1362
2	5002	1328

prune369.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes109.0ms

Accuracy

0% (0.9b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 1.0b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	16
1	20	16

end0.0ms

sample1.4s

Algorithm

intervals

Results

347.0ms	786×	body	1280	valid
312.0ms	6563×	body	80	valid
253.0ms	967×	body	640	valid
92.0ms	2921×	body	80	nan
92.0ms	536×	body	320	valid
32.0ms	309×	body	160	valid