Details

analyze313.0ms

Algorithm: search

sample50.0ms

Algorithm

intervals

Results

14.0ms	180×	body	80	valid
9.0ms	27×	body	640	valid
6.0ms	10×	body	1280	valid
5.0ms	21×	body	320	valid
3.0ms	18×	body	160	valid
0.0ms	7×	body	80	nan
0.0ms	2×	body	80	invalid

simplify22.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	7
1	30	7
2	39	7
3	45	7
4	60	7
5	88	7
6	125	7
7	176	7
8	208	7
9	225	7
10	293	7
11	293	7

prune4.0ms

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: 8.9b

Counts

2 → 1

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
0.0b	(* z (log (- 1.0 y)))
0.3b	(* x (log y))
7.8b	(log (- 1.0 y))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
21×	`log-prod` `*-un-lft-identity`
13×	`add-cube-cbrt`
11×	`pow1`
9×	`add-exp-log` `add-log-exp`
8×	`distribute-rgt-in` `distribute-lft-in` `associate-r` `add-cbrt-cube`
6×	`associate-l`
4×	`distribute-lft-out--` `difference-of-squares`
3×	`log-pow`
2×	`log-div` `flip3--` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `unswap-sqr`
1×	`sub-neg` `rem-log-exp` `associate--l+` `sum-log`

Counts

4 → 86

Calls

4 calls:

6.0ms	(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
6.0ms	(* z (log (- 1.0 y)))
4.0ms	(* x (log y))
3.0ms	(log (- 1.0 y))

series39.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
8.0ms	(* z (log (- 1.0 y)))
7.0ms	(* x (log y))
3.0ms	(log (- 1.0 y))

simplify46.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	458	643
1	1650	563
2	5002	529

prune156.0ms

Filtered

66 candidates to 98 candidates (-48.5%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	92	6	98
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	93	6	99

Merged error: 0.1b

Counts

99 → 6

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x (log y)) (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
0.0b	(* 1/2 (/ (pow y 2) (pow 1.0 2)))
0.0b	(* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
0.3b	(* x (log y))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

90×	`add-sqr-sqrt`
80×	`times-frac`
78×	`associate-r`
56×	`unpow-prod-down`
53×	`*-un-lft-identity`
50×	`add-cube-cbrt`
31×	`add-exp-log`
24×	`log-prod` `unpow2` `sqr-pow`
19×	`unswap-sqr`
16×	`distribute-rgt-in` `distribute-lft-in`
13×	`add-cbrt-cube`
12×	`pow1` `prod-exp` `associate--l+`
10×	`associate-+r+`
9×	`div-exp` `associate-l`
6×	`pow-to-exp` `associate-+l+` `pow-exp` `add-log-exp`
4×	`sub-neg` `cbrt-unprod`
3×	`associate-r/` `pow-prod-down` `-commutative`
2×	`log-pow` `distribute-lft-out--`
1×	`cbrt-undiv` `+-commutative` `flip3--` `flip3-+` `sum-log` `flip--` `flip-+` `div-inv` `difference-of-squares`

Counts

4 → 195

Calls

4 calls:

6.0ms	(+ (* x (log y)) (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
18.0ms	(* 1/2 (/ (pow y 2) (pow 1.0 2)))
8.0ms	(* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
4.0ms	(* x (log y))

series54.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(+ (* x (log y)) (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
5.0ms	(* 1/2 (/ (pow y 2) (pow 1.0 2)))
16.0ms	(* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
7.0ms	(* x (log y))

simplify97.0ms

Algorithm

egg-herbie

Counts

207 → 207

Iterations

Useful iterations: 2 (78.0ms)

Iter	Nodes	Cost
0	880	1531
1	3697	1356
2	5001	1353

prune414.0ms

Filtered

132 candidates to 207 candidates (-56.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	206	1	207
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	206	7	213

Merged error: 0.1b

Counts

213 → 7

localize22.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt z) (cbrt z))
0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

5.0ms	(* (cbrt z) (cbrt z))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series93.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(* (cbrt z) (cbrt z))
21.0ms	(cbrt z)
22.0ms	(cbrt z)
24.0ms	(cbrt z)

simplify75.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (69.0ms)

Iter	Nodes	Cost
0	148	349
1	471	322
2	2276	265
3	5002	252

prune153.0ms

Filtered

56 candidates to 85 candidates (-51.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	0	5	5
Picked	1	0	1
Done	0	1	1
Total	85	7	92

Merged error: 0.1b

Counts

92 → 7

localize19.0ms

Local error

Found 4 expressions with local error:

0.3b	(* x (log (cbrt y)))
0.7b	(cbrt y)
0.7b	(cbrt y)
7.8b	(log (- 1.0 y))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt` `log-prod`
15×	`*-un-lft-identity`
13×	`add-cube-cbrt`
12×	`cbrt-prod`
8×	`pow1`
7×	`add-exp-log`
6×	`distribute-rgt-in` `distribute-lft-in` `add-cbrt-cube`
5×	`associate-r`
4×	`add-log-exp`
3×	`pow1/3` `associate-l` `log-pow`
2×	`log-div`
1×	`flip3--` `rem-log-exp` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 70

Calls

4 calls:

5.0ms	(* x (log (cbrt y)))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
3.0ms	(log (- 1.0 y))

series70.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(* x (log (cbrt y)))
21.0ms	(cbrt y)
22.0ms	(cbrt y)
3.0ms	(log (- 1.0 y))

simplify74.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 3 (68.0ms)

Iter	Nodes	Cost
0	276	416
1	852	373
2	3048	343
3	5001	335

prune106.0ms

Filtered

57 candidates to 82 candidates (-43.9%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	81	1	82
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	82	7	89

Merged error: 0.1b

Counts

89 → 7

regimes382.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	13
1	26	13

end0.0ms

analyze307.0ms

Algorithm: search

sample1.4s

Algorithm

intervals

Results

358.0ms	5488×	body	80	valid
308.0ms	888×	body	640	valid
271.0ms	415×	body	1280	valid
158.0ms	743×	body	320	valid
62.0ms	466×	body	160	valid
17.0ms	231×	body	80	nan
2.0ms	29×	body	80	invalid

Details

analyze313.0ms

sample50.0ms

simplify22.0ms

prune4.0ms

localize12.0ms

rewrite21.0ms

series39.0ms

simplify46.0ms

prune156.0ms

localize18.0ms

rewrite48.0ms

series54.0ms

simplify97.0ms

prune414.0ms

localize22.0ms

rewrite11.0ms

series93.0ms

simplify75.0ms

prune153.0ms

localize19.0ms

rewrite12.0ms

series70.0ms

simplify74.0ms

prune106.0ms

regimes382.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

analyze307.0ms

sample1.4s

Profiling