Details

sample59.0ms

Algorithm

intervals

Results

15.0ms	30×	body	1280	valid
12.0ms	202×	body	80	valid
10.0ms	32×	body	640	valid
4.0ms	100×	body	80	nan
3.0ms	15×	body	320	valid
1.0ms	8×	body	160	valid

simplify111.0ms

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

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

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))))
9.8b	(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)))

series288.0ms

Counts

4 → 12

Calls

4 calls:

123.0ms	(/ (exp (* y (log (/ y (+ z y))))) y)
42.0ms	(/ y (+ z y))
77.0ms	(* y (log (/ y (+ z y))))
45.0ms	(log (/ y (+ z y)))

simplify99.0ms

Algorithm

egg-herbie

Counts

300 → 300

Iterations

Useful iterations: 2 (62.0ms)

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

prune532.0ms

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

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
4.6b	(log (/ (cbrt y) (cbrt (+ z y))))
5.9b	(log (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ z y)) (cbrt (+ z y)))))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

61×	`log-prod`
51×	`cbrt-prod`
46×	`*-un-lft-identity`
43×	`times-frac`
34×	`add-sqr-sqrt` `add-cube-cbrt`
20×	`add-exp-log`
14×	`cbrt-div`
10×	`associate-/r/`
7×	`flip3-+` `rem-log-exp` `flip-+`
6×	`pow1` `distribute-lft-out`
5×	`div-exp`
4×	`frac-times` `prod-exp` `add-cbrt-cube` `add-log-exp`
2×	`log-div` `pow1/3` `associate-r/` `associate-l/` `log-pow` `div-inv`

Counts

4 → 108

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
10.0ms	(log (/ (cbrt y) (cbrt (+ z y))))
13.0ms	(log (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ z y)) (cbrt (+ z y)))))

series510.0ms

Counts

4 → 12

Calls

4 calls:

179.0ms	(cbrt y)
183.0ms	(cbrt y)
66.0ms	(log (/ (cbrt y) (cbrt (+ z y))))
82.0ms	(log (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ z y)) (cbrt (+ z y)))))

simplify91.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 3 (79.0ms)

Iter	Nodes	Cost
0	438	1158
1	1101	1086
2	3541	1043
3	5002	1001

prune516.0ms

Filtered

120 candidates to 88 candidates (73.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	120	0	120
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	120	4	124

Merged error: 0b

Counts

124 → 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:

6.0ms

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

series14.0ms

Counts

1 → 3

Calls

1 calls:

14.0ms

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

simplify125.0ms

Algorithm

egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 4 (48.0ms)

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

prune29.0ms

Filtered

15 candidates to 12 candidates (80.0%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	15	0	15
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	15	4	19

Merged error: 0b

Counts

19 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)
6.5b	(pow (/ y (+ z y)) y)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
18×	`unpow-prod-down`
16×	`add-sqr-sqrt` `add-cube-cbrt`
12×	`times-frac`
9×	`cbrt-prod`
7×	`add-exp-log`
5×	`pow1`
4×	`add-cbrt-cube` `add-log-exp`
3×	`pow-unpow` `pow1/3` `distribute-lft-out`
2×	`pow-exp` `associate-/r/`
1×	`pow-to-exp` `pow-pow` `flip3-+` `div-exp` `flip-+` `div-inv` `sqr-pow`

Counts

4 → 66

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)
6.0ms	(pow (/ y (+ z y)) y)

series743.0ms

Counts

4 → 12

Calls

4 calls:

173.0ms	(cbrt y)
174.0ms	(cbrt y)
173.0ms	(cbrt y)
223.0ms	(pow (/ y (+ z y)) y)

simplify35.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	300	364
1	1088	349
2	5001	337

prune173.0ms

Filtered

78 candidates to 61 candidates (78.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	78	4	82

Merged error: 0b

Counts

82 → 4

regimes61.0ms

Accuracy

65.4% (0.7b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 2.2b

bsearch43.0ms

Steps

Iters	Range		Point
9	1.0438552020633666e-13	1.578317661697433e-06	8.999795371098391e-07

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	7
1	20	7

end0.0ms

sample1.6s

Algorithm

intervals

Results

382.0ms	6507×	body	80	valid
378.0ms	769×	body	1280	valid
281.0ms	917×	body	640	valid
138.0ms	3044×	body	80	nan
122.0ms	584×	body	320	valid
41.0ms	317×	body	160	valid