Details

sample46.0ms

Algorithm

intervals

Results

10.0ms	216×	body	80	valid
8.0ms	30×	body	640	valid
8.0ms	18×	body	1280	valid
4.0ms	23×	body	320	valid
3.0ms	97×	body	80	nan
1.0ms	8×	body	160	valid

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: 4.2b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
0.0b	(/ y (+ z y))
0.1b	(* y (log (/ y (+ z y))))
8.2b	(log (/ y (+ z y)))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

68×	`*-un-lft-identity`
54×	`log-prod`
48×	`times-frac`
42×	`add-sqr-sqrt`
40×	`add-cube-cbrt`
18×	`distribute-rgt-in` `distribute-lft-in`
14×	`distribute-lft-out`
11×	`add-exp-log`
8×	`pow1` `associate-/r/` `add-cbrt-cube`
6×	`add-log-exp`
5×	`flip3-+` `flip-+`
4×	`expm1-log1p-u` `associate-r` `associate-/r*` `log1p-expm1-u` `div-inv`
3×	`fma-def` `associate-l` `associate-/l*`
2×	`div-exp` `rem-log-exp` `log-pow`
1×	`cbrt-undiv` `+-commutative` `log-div` `frac-2neg` `pow-prod-down` `prod-exp` `clear-num` `sum-log` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 140

Calls

4 calls:

32.0ms	(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
5.0ms	(/ y (+ z y))
8.0ms	(* y (log (/ y (+ z y))))
5.0ms	(log (/ y (+ z y)))

series232.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
38.0ms	(/ y (+ z y))
74.0ms	(* y (log (/ y (+ z y))))
51.0ms	(log (/ y (+ z y)))

simplify47.0ms

Algorithm

egg-herbie

Counts

152 → 152

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	395	1046
1	1559	967
2	5001	936

prune351.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
3.0b	(log (/ (cbrt y) (cbrt (+ z y))))
3.0b	(log (/ (cbrt y) (cbrt (+ z y))))

rewrite28.0ms

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:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
8.0ms	(log (/ (cbrt y) (cbrt (+ z y))))
8.0ms	(log (/ (cbrt y) (cbrt (+ z y))))

series506.0ms

Counts

4 → 12

Calls

4 calls:

196.0ms	(cbrt y)
172.0ms	(cbrt y)
71.0ms	(log (/ (cbrt y) (cbrt (+ z y))))
67.0ms	(log (/ (cbrt y) (cbrt (+ z y))))

simplify73.0ms

Algorithm

egg-herbie

Counts

160 → 160

Iterations

Useful iterations: 3 (60.0ms)

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

prune614.0ms

Pruning

3 alts after pruning (2 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))
4.0ms	(/ (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

prune127.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (/ (exp (* -1 z)) y)) (cbrt (/ (exp (* -1 z)) y)))
0.3b	(cbrt (/ (exp (* -1 z)) y))
0.3b	(cbrt (/ (exp (* -1 z)) y))
0.3b	(cbrt (/ (exp (* -1 z)) y))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

103×	`cbrt-prod`
81×	`add-sqr-sqrt`
69×	`times-frac`
57×	`add-cube-cbrt` `*-un-lft-identity`
16×	`swap-sqr` `associate-r` `associate-l`
11×	`pow1`
9×	`pow1/3` `unswap-sqr`
7×	`cbrt-div` `div-inv`
6×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 152

Calls

4 calls:

13.0ms	(* (cbrt (/ (exp (* -1 z)) y)) (cbrt (/ (exp (* -1 z)) y)))
3.0ms	(cbrt (/ (exp (* -1 z)) y))
3.0ms	(cbrt (/ (exp (* -1 z)) y))
3.0ms	(cbrt (/ (exp (* -1 z)) y))

series299.0ms

Counts

4 → 12

Calls

4 calls:

93.0ms	(* (cbrt (/ (exp (* -1 z)) y)) (cbrt (/ (exp (* -1 z)) y)))
64.0ms	(cbrt (/ (exp (* -1 z)) y))
70.0ms	(cbrt (/ (exp (* -1 z)) y))
71.0ms	(cbrt (/ (exp (* -1 z)) y))

simplify56.0ms

Algorithm

egg-herbie

Counts

164 → 164

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	329	1776
1	1175	1694
2	5002	1611

prune527.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes57.0ms

Accuracy

0% (1.1b remaining)

Error of 1.1b against oracle of 0.0b and baseline of 1.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	18
1	29	18
2	29	18

end0.0ms

sample1.4s

Algorithm

intervals

Results

351.0ms	781×	body	1280	valid
309.0ms	6548×	body	80	valid
245.0ms	934×	body	640	valid
101.0ms	3060×	body	80	nan
99.0ms	588×	body	320	valid
34.0ms	325×	body	160	valid