Details

analyze364.0ms

Algorithm: search

sample42.0ms

Algorithm

intervals

Results

11.0ms	181×	body	80	valid
9.0ms	20×	body	1280	valid
8.0ms	29×	body	640	valid
3.0ms	14×	body	320	valid
2.0ms	12×	body	160	valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	5
1	20	5
2	22	5
3	22	5

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: 0.0b

Counts

2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (+ x (sin y)) (* z (cos y)))
0.0b	(+ x (sin y))
0.1b	(* z (cos y))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp`
7×	`add-sqr-sqrt` `*-un-lft-identity`
5×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
4×	`sum-log`
3×	`associate-r` `associate-l`
2×	`+-commutative` `flip3-+` `flip-+`
1×	`associate-+l+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`

Counts

3 → 43

Calls

3 calls:

5.0ms	(+ (+ x (sin y)) (* z (cos y)))
3.0ms	(+ x (sin y))
4.0ms	(* z (cos y))

series28.0ms

Counts

3 → 9

Calls

3 calls:

15.0ms	(+ (+ x (sin y)) (* z (cos y)))
5.0ms	(+ x (sin y))
7.0ms	(* z (cos y))

simplify73.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	196	244
1	694	228
2	2608	228
3	5001	228

prune72.0ms

Filtered

37 candidates to 52 candidates (-40.5%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	46	6	52
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	47	6	53

Merged error: 0.0b

Counts

53 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (cos y)) (cbrt (cos y)))
0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))

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 (cos y)) (cbrt (cos y)))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))

series76.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
16.0ms	(cbrt (cos y))
18.0ms	(cbrt (cos y))
17.0ms	(cbrt (cos y))

simplify104.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (98.0ms)

Iter	Nodes	Cost
0	125	433
1	507	381
2	3337	357
3	5001	351

prune98.0ms

Filtered

60 candidates to 85 candidates (-41.7%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	83	2	85
Fresh	1	4	5
Picked	1	0	1
Done	0	0	0
Total	85	6	91

Merged error: 0b

Counts

91 → 6

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b	(pow (pow (cos y) 2) 1/3)
0.1b	(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
0.2b	(pow (cos y) 2)
0.3b	(cbrt (cos y))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-exp-log`
14×	`unpow-prod-down`
12×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
11×	`prod-exp`
9×	`pow-exp`
8×	`add-cbrt-cube`
7×	`pow1`
6×	`cbrt-prod` `pow-unpow` `associate-r`
5×	`pow-to-exp` `cbrt-unprod`
4×	`add-log-exp`
3×	`sqr-pow`
2×	`pow-pow` `unpow1/3` `unpow2`
1×	`pow1/3` `associate-l` `pow-prod-down` `*-commutative`

Counts

4 → 79

Calls

4 calls:

4.0ms	(pow (pow (cos y) 2) 1/3)
8.0ms	(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
2.0ms	(pow (cos y) 2)
1.0ms	(cbrt (cos y))

series51.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(pow (pow (cos y) 2) 1/3)
6.0ms	(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
3.0ms	(pow (cos y) 2)
16.0ms	(cbrt (cos y))

simplify44.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	312	474
1	1319	403
2	5001	386

prune114.0ms

Filtered

54 candidates to 91 candidates (-68.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	90	1	91
Fresh	1	4	5
Picked	0	1	1
Done	0	0	0
Total	91	6	97

Merged error: 0b

Counts

97 → 6

localize20.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* z (log (exp (pow (pow (cos y) 2) 1/3)))) (cbrt (cos y)))
0.2b	(pow (cos y) 2)
0.3b	(log (exp (pow (pow (cos y) 2) 1/3)))
0.3b	(cbrt (cos y))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

14×	`unpow-prod-down`
13×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `log-pow`
12×	`exp-prod`
11×	`pow1`
10×	`add-exp-log`
7×	`add-cbrt-cube`
6×	`cbrt-prod` `associate-r`
4×	`add-log-exp`
3×	`pow-unpow` `log-prod` `pow-prod-down` `prod-exp` `cbrt-unprod` `sqr-pow`
2×	`unpow2`
1×	`pow-to-exp` `pow-pow` `pow1/3` `rem-log-exp` `associate-l` `pow-exp` `*-commutative`

Counts

4 → 74

Calls

4 calls:

9.0ms	(* (* z (log (exp (pow (pow (cos y) 2) 1/3)))) (cbrt (cos y)))
2.0ms	(pow (cos y) 2)
5.0ms	(log (exp (pow (pow (cos y) 2) 1/3)))
1.0ms	(cbrt (cos y))

series53.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(* (* z (log (exp (pow (pow (cos y) 2) 1/3)))) (cbrt (cos y)))
3.0ms	(pow (cos y) 2)
27.0ms	(log (exp (pow (pow (cos y) 2) 1/3)))
16.0ms	(cbrt (cos y))

simplify44.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	301	490
1	1228	398
2	5002	388

prune128.0ms

Filtered

60 candidates to 86 candidates (-43.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	86	0	86
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	86	6	92

Merged error: 0b

Counts

92 → 6

regimes176.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	10
1	18	10

end0.0ms

analyze346.0ms

Algorithm: search

sample1.3s

Algorithm

intervals

Results

424.0ms	930×	body	1280	valid
357.0ms	5688×	body	80	valid
217.0ms	791×	body	640	valid
75.0ms	397×	body	320	valid
25.0ms	194×	body	160	valid

Details

analyze364.0ms

sample42.0ms

simplify6.0ms

prune4.0ms

localize10.0ms

rewrite13.0ms

series28.0ms

simplify73.0ms

prune72.0ms

localize13.0ms

rewrite11.0ms

series76.0ms

simplify104.0ms

prune98.0ms

localize16.0ms

rewrite17.0ms

series51.0ms

simplify44.0ms

prune114.0ms

localize20.0ms

rewrite19.0ms

series53.0ms

simplify44.0ms

prune128.0ms

regimes176.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze346.0ms

sample1.3s

Profiling