Details

sample59.0ms

Algorithm

intervals

Results

14.0ms	28×	body	1280	valid
13.0ms	220×	body	80	valid
9.0ms	29×	body	640	valid
5.0ms	101×	body	80	nan
4.0ms	18×	body	320	valid
0.0ms	4×	body	160	valid

simplify110.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

prune2.0ms

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: 6.0b

Counts

2 → 1

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (exp (* y (log (/ y (+ z y))))) y)
0.0b	(/ y (+ z y))
0.1b	(* y (log (/ y (+ z y))))
9.2b	(log (/ y (+ z y)))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

261×	`times-frac`
221×	`*-un-lft-identity`
198×	`log-prod`
149×	`add-sqr-sqrt`
147×	`add-cube-cbrt`
144×	`exp-sum`
90×	`distribute-rgt-in` `distribute-lft-in`
42×	`associate-/l*`
37×	`distribute-lft-out`
24×	`associate-/r/`
13×	`div-inv`
12×	`add-exp-log` `flip3-+` `flip-+`
10×	`add-cbrt-cube`
8×	`pow1`
7×	`associate-/r*`
4×	`associate-r` `add-log-exp`
3×	`div-exp` `associate-l`
2×	`cbrt-undiv` `frac-2neg` `rem-log-exp` `clear-num` `log-pow`
1×	`log-div` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 288

Calls

4 calls:

14.0ms	(/ (exp (* y (log (/ y (+ z y))))) y)
5.0ms	(/ y (+ z y))
8.0ms	(* y (log (/ y (+ z y))))
7.0ms	(log (/ y (+ z y)))

series300.0ms

Counts

4 → 12

Calls

4 calls:

133.0ms	(/ (exp (* y (log (/ y (+ z y))))) y)
39.0ms	(/ y (+ z y))
76.0ms	(* y (log (/ y (+ z y))))
52.0ms	(log (/ y (+ z y)))

simplify94.0ms

Algorithm

egg-herbie

Counts

300 → 300

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	823	3036
1	2834	2608
2	5002	2592

prune530.0ms

Filtered

300 candidates to 172 candidates (57.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	298	2	300
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	299	2	301

Merged error: 0.0b

Counts

301 → 2

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ x (/ (exp 0) y))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

3×	`*-un-lft-identity` `add-log-exp`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `flip3-+` `sum-log` `add-cbrt-cube` `flip-+` `distribute-lft-out`

Counts

1 → 12

Calls

1 calls:

6.0ms

(+ x (/ (exp 0) y))

series18.0ms

Counts

1 → 3

Calls

1 calls:

17.0ms

(+ x (/ (exp 0) y))

simplify137.0ms

Algorithm

egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 4 (57.0ms)

Iter	Nodes	Cost
0	79	74
1	253	61
2	706	60
3	1632	58
4	4894	57
5	5001	57

prune23.0ms

Filtered

15 candidates to 12 candidates (80.0%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	15	0	15
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	15	2	17

Merged error: 0.0b

Counts

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

Counts

1 → 28

Calls

1 calls:

4.0ms

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

series19.0ms

Counts

1 → 3

Calls

1 calls:

19.0ms

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

simplify49.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 2 (11.0ms)

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

prune51.0ms

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

regimes44.0ms

Accuracy

49% (1.0b remaining)

Error of 1.2b against oracle of 0.2b and baseline of 2.2b

bsearch43.0ms

Steps

Iters	Range		Point
8	5.393393945294005e-61	2.7180135270378636e-57	3.1208681061789194e-58

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	7
1	20	7

end0.0ms

sample1.8s

Algorithm

intervals

Results

423.0ms	801×	body	1280	valid
409.0ms	6529×	body	80	valid
308.0ms	938×	body	640	valid
141.0ms	3040×	body	80	nan
130.0ms	585×	body	320	valid
43.0ms	295×	body	160	valid