Details

sample53.0ms

Algorithm

intervals

Results

11.0ms	227×	body	80	valid
11.0ms	22×	body	1280	valid
8.0ms	27×	body	640	valid
4.0ms	109×	body	80	nan
3.0ms	18×	body	320	valid
1.0ms	9×	body	160	valid

simplify139.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	18	7
1	27	7
2	54	7
3	109	7
4	307	7
5	777	7
6	4145	7
7	5002	7

prune3.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 5.9b

Counts

2 → 1

localize11.0ms

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))))
9.0b	(log (/ y (+ z y)))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

67×	`*-un-lft-identity`
54×	`log-prod`
48×	`times-frac`
41×	`add-sqr-sqrt`
39×	`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×	`associate-r` `associate-/r*` `div-inv`
3×	`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 → 129

Calls

4 calls:

32.0ms	(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
6.0ms	(/ y (+ z y))
13.0ms	(* y (log (/ y (+ z y))))
6.0ms	(log (/ y (+ z y)))

series266.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
39.0ms	(/ y (+ z y))
85.0ms	(* y (log (/ y (+ z y))))
61.0ms	(log (/ y (+ z y)))

simplify64.0ms

Algorithm

egg-herbie

Counts

141 → 141

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	381	1006
1	1513	928
2	5001	904

prune299.0ms

Filtered

141 candidates to 90 candidates (63.8%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	139	2	141
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	140	2	142

Merged error: 0.0b

Counts

142 → 2

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
3.8b	(log (/ (cbrt y) (cbrt (+ z y))))
3.8b	(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×	`cbrt-div` `rem-log-exp` `associate-/r/` `add-cbrt-cube` `add-log-exp`
2×	`log-div` `flip3-+` `pow1/3` `div-exp` `log-pow` `flip-+` `div-inv`

Counts

4 → 140

Calls

4 calls:

2.0ms	(cbrt y)
2.0ms	(cbrt y)
8.0ms	(log (/ (cbrt y) (cbrt (+ z y))))
8.0ms	(log (/ (cbrt y) (cbrt (+ z y))))

series573.0ms

Counts

4 → 12

Calls

4 calls:

199.0ms	(cbrt y)
199.0ms	(cbrt y)
85.0ms	(log (/ (cbrt y) (cbrt (+ z y))))
89.0ms	(log (/ (cbrt y) (cbrt (+ z y))))

simplify96.0ms

Algorithm

egg-herbie

Counts

152 → 152

Iterations

Useful iterations: 3 (73.0ms)

Iter	Nodes	Cost
0	310	1470
1	757	1424
2	2327	1392
3	5001	1324

prune519.0ms

Filtered

152 candidates to 102 candidates (67.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	152	0	152
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	152	2	154

Merged error: 0.0b

Counts

154 → 2

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite6.0ms

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` `frac-2neg` `mul-1-neg` `div-exp` `clear-num` `div-inv` `associate-/l/` `add-log-exp`

Counts

1 → 28

Calls

1 calls:

5.0ms

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

series30.0ms

Counts

1 → 3

Calls

1 calls:

30.0ms

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

simplify58.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 2 (14.0ms)

Iter	Nodes	Cost
0	114	186
1	303	172
2	1465	170
3	5003	170

prune60.0ms

Filtered

31 candidates to 23 candidates (74.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	31	0	31
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	31	2	33

Merged error: 0.0b

Counts

33 → 2

regimes51.0ms

Accuracy

33.5% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 1.2b

bsearch28.0ms

Steps

Iters	Range		Point
4	3.17378385070261e-20	4.683598394279392e-20	4.636416689792617e-20

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	31	20
1	31	20

end0.0ms

sample1.6s

Algorithm

intervals

Results

372.0ms	772×	body	1280	valid
337.0ms	6516×	body	80	valid
275.0ms	954×	body	640	valid
121.0ms	3087×	body	80	nan
108.0ms	568×	body	320	valid
37.0ms	309×	body	160	valid