Details

sample57.0ms

Algorithm

intervals

Results

13.0ms	21×	body	1280	valid
12.0ms	214×	body	80	valid
8.0ms	26×	body	640	valid
5.0ms	107×	body	80	nan
3.0ms	15×	body	320	valid
2.0ms	13×	body	160	valid

simplify119.0ms

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: 6.2b

Counts

2 → 1

localize10.0ms

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))))
8.8b	(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))))
5.0ms	(log (/ y (+ z y)))

series290.0ms

Counts

4 → 12

Calls

4 calls:

124.0ms	(/ (exp (* y (log (/ y (+ z y))))) y)
43.0ms	(/ y (+ z y))
76.0ms	(* y (log (/ y (+ z y))))
46.0ms	(log (/ y (+ z y)))

simplify91.0ms

Algorithm

egg-herbie

Counts

300 → 300

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	823	3036
1	2834	2608
2	5001	2592

prune554.0ms

Filtered

300 candidates to 172 candidates (57.3%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	296	4	300
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	297	4	301

Merged error: 0b

Counts

301 → 4

localize4.0ms

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:

5.0ms

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

series14.0ms

Counts

1 → 3

Calls

1 calls:

14.0ms

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

simplify129.0ms

Algorithm

egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 4 (50.0ms)

Iter	Nodes	Cost
0	79	74
1	253	61
2	706	59
3	1630	58
4	4892	57
5	5001	57

prune32.0ms

Filtered

15 candidates to 12 candidates (80.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	15	0	15
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	15	4	19

Merged error: 0b

Counts

19 → 4

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
5.5b	(sqrt (/ y (+ z y)))
5.5b	(sqrt (/ y (+ z y)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

36×	`sqrt-prod`
34×	`*-un-lft-identity`
28×	`add-sqr-sqrt`
26×	`times-frac`
22×	`add-cube-cbrt`
6×	`pow1` `cbrt-prod` `distribute-lft-out`
4×	`add-exp-log` `rem-sqrt-square` `associate-/r/` `add-cbrt-cube` `add-log-exp`
2×	`sqrt-pow1` `flip3-+` `pow1/2` `pow1/3` `sqrt-div` `flip-+` `div-inv`

Counts

4 → 82

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
5.0ms	(sqrt (/ y (+ z y)))
5.0ms	(sqrt (/ y (+ z y)))

series489.0ms

Counts

4 → 12

Calls

4 calls:

170.0ms	(cbrt y)
174.0ms	(cbrt y)
88.0ms	(sqrt (/ y (+ z y)))
57.0ms	(sqrt (/ y (+ z y)))

simplify45.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 3 (32.0ms)

Iter	Nodes	Cost
0	149	456
1	316	424
2	938	414
3	5001	406

prune303.0ms

Filtered

94 candidates to 74 candidates (78.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	94	0	94
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	94	4	98

Merged error: 0b

Counts

98 → 4

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)

simplify48.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 2 (11.0ms)

Iter	Nodes	Cost
0	114	186
1	303	172
2	1435	169
3	5001	169

prune52.0ms

Filtered

31 candidates to 23 candidates (74.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	31	0	31
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	31	4	35

Merged error: 0b

Counts

35 → 4

regimes60.0ms

Accuracy

0% (2.5b remaining)

Error of 2.5b against oracle of 0.0b and baseline of 2.5b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	3
1	8	3

end0.0ms

sample1.6s

Algorithm

intervals

Results

376.0ms	6576×	body	80	valid
364.0ms	747×	body	1280	valid
285.0ms	937×	body	640	valid
134.0ms	3146×	body	80	nan
115.0ms	566×	body	320	valid
37.0ms	297×	body	160	valid

Details

sample57.0ms

simplify119.0ms

prune3.0ms

localize10.0ms

rewrite54.0ms

series290.0ms

simplify91.0ms

prune554.0ms

localize4.0ms

rewrite6.0ms

series14.0ms

simplify129.0ms

prune32.0ms

localize15.0ms

rewrite15.0ms

series489.0ms

simplify45.0ms

prune303.0ms

localize6.0ms

rewrite5.0ms

series19.0ms

simplify48.0ms

prune52.0ms

regimes60.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.6s

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