Details

sample50.0ms

Algorithm

intervals

Results

10.0ms	227×	body	80	valid
10.0ms	22×	body	1280	valid
9.0ms	27×	body	640	valid
4.0ms	109×	body	80	nan
3.0ms	18×	body	320	valid
1.0ms	9×	body	160	valid

simplify110.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 6 (27.0ms)

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

Filtered

1 candidates to 1 candidates (100.0%)

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: 3.4b

Counts

2 → 2

localize9.0ms

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)))

rewrite57.0ms

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:

34.0ms	(+ 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)))

series224.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
40.0ms	(/ y (+ z y))
74.0ms	(* y (log (/ y (+ z y))))
45.0ms	(log (/ y (+ z y)))

simplify52.0ms

Algorithm

egg-herbie

Counts

152 → 152

Iterations

Useful iterations: 2 (36.0ms)

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

prune280.0ms

Filtered

152 candidates to 101 candidates (66.4%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	150	2	152
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	152	2	154

Merged error: 0.0b

Counts

154 → 2

localize17.0ms

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))))

rewrite25.0ms

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))))
7.0ms	(log (/ (cbrt y) (cbrt (+ z y))))

series489.0ms

Counts

4 → 12

Calls

4 calls:

172.0ms	(cbrt y)
176.0ms	(cbrt y)
67.0ms	(log (/ (cbrt y) (cbrt (+ z y))))
73.0ms	(log (/ (cbrt y) (cbrt (+ z y))))

simplify75.0ms

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

prune481.0ms

Filtered

160 candidates to 110 candidates (68.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	160	0	160
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	160	2	162

Merged error: 0.0b

Counts

162 → 2

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite5.0ms

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:

4.0ms

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

series19.0ms

Counts

1 → 3

Calls

1 calls:

19.0ms

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

simplify48.0ms

Algorithm

egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 2 (11.0ms)

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

prune57.0ms

Filtered

33 candidates to 25 candidates (75.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	33	0	33
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	33	2	35

Merged error: 0.0b

Counts

35 → 2

regimes49.0ms

Accuracy

33.5% (0.8b remaining)

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

bsearch24.0ms

Steps

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

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	20
1	31	20

end0.0ms

sample1.4s

Algorithm

intervals

Results

338.0ms	772×	body	1280	valid
301.0ms	6516×	body	80	valid
247.0ms	954×	body	640	valid
103.0ms	3087×	body	80	nan
95.0ms	568×	body	320	valid
32.0ms	309×	body	160	valid