Details

sample50.0ms

Algorithm

intervals

Results

11.0ms	210×	body	80	valid
9.0ms	23×	body	1280	valid
7.0ms	27×	body	640	valid
3.0ms	94×	body	80	nan
3.0ms	16×	body	320	valid
1.0ms	10×	body	160	valid
1.0ms	20×	body	80	overflowed

simplify119.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 6 (31.0ms)

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: 4.4b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ y (+ z y))
0.1b	(* y (log (/ y (+ z y))))
9.7b	(log (/ y (+ z y)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

64×	`*-un-lft-identity`
54×	`log-prod`
48×	`times-frac`
40×	`add-sqr-sqrt`
38×	`add-cube-cbrt`
18×	`distribute-rgt-in` `distribute-lft-in`
13×	`distribute-lft-out`
10×	`add-exp-log`
8×	`associate-/r/`
7×	`pow1` `add-cbrt-cube`
4×	`flip3-+` `associate-r` `associate-/r*` `flip-+` `div-inv`
3×	`expm1-log1p-u` `associate-l` `log1p-expm1-u` `associate-/l*` `add-log-exp`
2×	`div-exp` `rem-log-exp` `log-pow`
1×	`cbrt-undiv` `log-div` `frac-2neg` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 123

Calls

3 calls:

5.0ms	(/ y (+ z y))
11.0ms	(* y (log (/ y (+ z y))))
4.0ms	(log (/ y (+ z y)))

series176.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(/ y (+ z y))
81.0ms	(* y (log (/ y (+ z y))))
49.0ms	(log (/ y (+ z y)))

simplify44.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	302	874
1	1269	813
2	5001	783

prune498.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ z y))
0.6b	(cbrt (+ z y))
2.8b	(log (/ (cbrt y) (cbrt (+ z y))))
2.8b	(log (/ (cbrt y) (cbrt (+ z y))))

rewrite23.0ms

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))))

series406.0ms

Counts

4 → 12

Calls

4 calls:

130.0ms	(cbrt (+ z y))
128.0ms	(cbrt (+ z y))
72.0ms	(log (/ (cbrt y) (cbrt (+ z y))))
76.0ms	(log (/ (cbrt y) (cbrt (+ z y))))

simplify147.0ms

Algorithm

egg-herbie

Counts

166 → 166

Iterations

Useful iterations: 3 (131.0ms)

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

prune732.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0.1b

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	17
1	22	17

end0.0ms

sample1.5s

Algorithm

intervals

Results

355.0ms	6993×	body	80	valid
327.0ms	697×	body	1280	valid
210.0ms	743×	body	640	valid
118.0ms	3309×	body	80	nan
82.0ms	452×	body	320	valid
33.0ms	286×	body	160	valid
26.0ms	491×	body	80	overflowed