Details

sample45.0ms

Algorithm

intervals

Results

11.0ms	25×	body	1280	valid
10.0ms	177×	body	80	valid
8.0ms	31×	body	640	valid
2.0ms	13×	body	320	valid
1.0ms	10×	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

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite21.0ms

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:

9.0ms	(+ x (sin y))
6.0ms	(+ (+ x (sin y)) (* z (cos y)))
5.0ms	(* z (cos y))

series25.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(+ x (sin y))
11.0ms	(+ (+ x (sin y)) (* z (cos y)))
8.0ms	(* z (cos y))

simplify75.0ms

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

prune68.0ms

Filtered

37 candidates to 52 candidates (-40.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	48	4	52
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	48	5	53

Merged error: 0.0b

Counts

53 → 5

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))

rewrite13.0ms

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:

6.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
2.0ms	(cbrt (cos y))

series83.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
18.0ms	(cbrt (cos y))
20.0ms	(cbrt (cos y))
18.0ms	(cbrt (cos y))

simplify112.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (106.0ms)

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 (5 fresh and 1 done)

	Pruned	Kept	Total
New	83	2	85
Fresh	0	3	3
Picked	1	0	1
Done	0	1	1
Total	84	6	90

Merged error: 0.0b

Counts

90 → 6

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* z (cbrt (pow (cos y) 2))) (cbrt (cos y)))
0.3b	(pow (cos y) 2)
0.3b	(cbrt (cos y))
0.4b	(cbrt (pow (cos y) 2))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 66

Calls

4 calls:

8.0ms	(* (* z (cbrt (pow (cos y) 2))) (cbrt (cos y)))
3.0ms	(pow (cos y) 2)
1.0ms	(cbrt (cos y))
3.0ms	(cbrt (pow (cos y) 2))

series56.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(* (* z (cbrt (pow (cos y) 2))) (cbrt (cos y)))
3.0ms	(pow (cos y) 2)
20.0ms	(cbrt (cos y))
26.0ms	(cbrt (pow (cos y) 2))

simplify42.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	236	416
1	1087	359
2	5001	345

prune112.0ms

Filtered

50 candidates to 78 candidates (-56.0%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	77	1	78
Fresh	1	3	4
Picked	1	0	1
Done	0	1	1
Total	79	5	84

Merged error: 0b

Counts

84 → 5

localize18.0ms

Local error

Found 4 expressions with local error:

0.3b	(pow (cos y) 2)
0.3b	(cbrt (cos y))
0.3b	(log (exp (cbrt (pow (cos y) 2))))
0.4b	(cbrt (pow (cos y) 2))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

19×	`cbrt-prod`
13×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
12×	`log-pow`
11×	`exp-prod`
9×	`unpow-prod-down`
6×	`pow1`
5×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
3×	`pow-unpow` `log-prod` `unpow2` `sqr-pow`
2×	`pow1/3`
1×	`pow-to-exp` `pow-pow` `rem-log-exp` `pow-exp`

Counts

4 → 68

Calls

4 calls:

3.0ms	(pow (cos y) 2)
1.0ms	(cbrt (cos y))
4.0ms	(log (exp (cbrt (pow (cos y) 2))))
3.0ms	(cbrt (pow (cos y) 2))

series76.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(pow (cos y) 2)
18.0ms	(cbrt (cos y))
28.0ms	(log (exp (cbrt (pow (cos y) 2))))
27.0ms	(cbrt (pow (cos y) 2))

simplify80.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 3 (74.0ms)

Iter	Nodes	Cost
0	189	357
1	579	312
2	2105	303
3	5002	302

prune125.0ms

Filtered

56 candidates to 80 candidates (-42.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	80	0	80
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	80	5	85

Merged error: 0b

Counts

85 → 5

regimes233.0ms

Accuracy

0% (0.0b 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	11	5
1	11	5

end0.0ms

sample1.3s

Algorithm

intervals

Results

430.0ms	969×	body	1280	valid
341.0ms	5671×	body	80	valid
206.0ms	782×	body	640	valid
70.0ms	374×	body	320	valid
27.0ms	204×	body	160	valid

Details

sample45.0ms

simplify6.0ms

prune4.0ms

localize9.0ms

rewrite21.0ms

series25.0ms

simplify75.0ms

prune68.0ms

localize13.0ms

rewrite13.0ms

series83.0ms

simplify112.0ms

prune98.0ms

localize15.0ms

rewrite16.0ms

series56.0ms

simplify42.0ms

prune112.0ms

localize18.0ms

rewrite12.0ms

series76.0ms

simplify80.0ms

prune125.0ms

regimes233.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.3s

Profiling