Details

sample57.0ms

Algorithm

intervals

Results

18.0ms	33×	body	1280	valid
10.0ms	210×	body	80	valid
7.0ms	26×	body	640	valid
4.0ms	103×	body	80	nan
2.0ms	14×	body	320	valid
2.0ms	17×	body	160	valid

simplify112.0ms

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: 3.4b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
0.1b	(* y (log (/ y (+ z y))))
9.4b	(log (/ y (+ z y)))

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

54×	`log-prod`
50×	`*-un-lft-identity`
36×	`times-frac`
32×	`add-sqr-sqrt`
30×	`add-cube-cbrt`
18×	`distribute-rgt-in` `distribute-lft-in`
10×	`distribute-lft-out`
8×	`add-exp-log`
7×	`pow1`
6×	`associate-/r/`
5×	`add-cbrt-cube` `add-log-exp`
4×	`flip3-+` `associate-r` `flip-+`
3×	`expm1-log1p-u` `fma-def` `associate-l` `log1p-expm1-u` `div-inv`
2×	`rem-log-exp` `log-pow`
1×	`+-commutative` `log-div` `div-exp` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 105

Calls

3 calls:

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

series205.0ms

Counts

3 → 9

Calls

3 calls:

74.0ms	(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
80.0ms	(* y (log (/ y (+ z y))))
51.0ms	(log (/ y (+ z y)))

simplify93.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 3 (83.0ms)

Iter	Nodes	Cost
0	352	887
1	1179	817
2	3658	786
3	5001	782

prune259.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 148

Calls

4 calls:

0.0ms	(cbrt y)
0.0ms	(cbrt y)
6.0ms	(log (/ (cbrt y) (cbrt (+ z y))))
6.0ms	(log (/ (cbrt y) (cbrt (+ z y))))

series528.0ms

Counts

4 → 12

Calls

4 calls:

187.0ms	(cbrt y)
188.0ms	(cbrt y)
78.0ms	(log (/ (cbrt y) (cbrt (+ z y))))
76.0ms	(log (/ (cbrt y) (cbrt (+ z y))))

simplify75.0ms

Algorithm

egg-herbie

Counts

160 → 160

Iterations

Useful iterations: 3 (61.0ms)

Iter	Nodes	Cost
0	317	1502
1	772	1456
2	2370	1424
3	5002	1350

prune593.0ms

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)

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)

series45.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(+ 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

prune123.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 68

Calls

3 calls:

5.0ms	(* y (exp z))
7.0ms	(/ 1 (* y (exp z)))
5.0ms	(+ x (/ 1 (* y (exp z))))

series71.0ms

Counts

3 → 9

Calls

3 calls:

22.0ms	(* y (exp z))
20.0ms	(/ 1 (* y (exp z)))
29.0ms	(+ x (/ 1 (* y (exp z))))

simplify37.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	257	322
1	1138	280
2	5002	278

prune150.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes141.0ms

Accuracy

29.9% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 1.3b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	33
1	46	33

end0.0ms

sample1.4s

Algorithm

intervals

Results

351.0ms	791×	body	1280	valid
316.0ms	6554×	body	80	valid
252.0ms	912×	body	640	valid
105.0ms	3015×	body	80	nan
102.0ms	595×	body	320	valid
32.0ms	291×	body	160	valid