Details

analyze290.0ms

Algorithm: search

sample56.0ms

Algorithm

intervals

Results

17.0ms	36×	body	1280	valid
13.0ms	43×	body	640	valid
9.0ms	144×	body	80	valid
4.0ms	19×	body	320	valid
2.0ms	14×	body	160	valid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	5
1	11	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: 0.1b

Counts

2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 47

Calls

3 calls:

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

series34.0ms

Counts

3 → 9

Calls

3 calls:

20.0ms	(+ (* x (sin y)) (* z (cos y)))
7.0ms	(* x (sin y))
7.0ms	(* z (cos y))

simplify70.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	185	250
1	702	229
2	2218	229
3	5001	229

prune94.0ms

Filtered

40 candidates to 56 candidates (-40.0%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	48	8	56
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	49	8	57

Merged error: 0.0b

Counts

57 → 8

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite12.0ms

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))

series82.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
18.0ms	(cbrt (cos y))
17.0ms	(cbrt (cos y))
20.0ms	(cbrt (cos y))

simplify109.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (103.0ms)

Iter	Nodes	Cost
0	125	433
1	507	381
2	3337	361
3	5002	356

prune122.0ms

Filtered

60 candidates to 85 candidates (-41.7%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	83	2	85
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	83	10	93

Merged error: 0.0b

Counts

93 → 10

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 90

Calls

4 calls:

9.0ms	(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
8.0ms	(* z (pow (pow (cos y) 2) 1/3))
2.0ms	(pow (cos y) 2)
1.0ms	(cbrt (cos y))

series48.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
20.0ms	(* z (pow (pow (cos y) 2) 1/3))
3.0ms	(pow (cos y) 2)
18.0ms	(cbrt (cos y))

simplify46.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	320	572
1	1409	499
2	5001	468

prune165.0ms

Filtered

62 candidates to 102 candidates (-64.5%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	99	3	102
Fresh	3	5	8
Picked	1	0	1
Done	1	0	1
Total	104	8	112

Merged error: 0.0b

Counts

112 → 8

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 83

Calls

4 calls:

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

series60.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* z (pow (pow (cos y) 2) 1/3))
5.0ms	(pow (cos y) 2)
17.0ms	(log (exp (cbrt (cos y))))
17.0ms	(cbrt (cos y))

simplify152.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 3 (145.0ms)

Iter	Nodes	Cost
0	277	434
1	957	383
2	4433	374
3	5001	373

prune125.0ms

Filtered

62 candidates to 95 candidates (-53.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	95	0	95
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	95	8	103

Merged error: 0.0b

Counts

103 → 8

regimes251.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	12
1	20	12

end0.0ms

analyze287.0ms

Algorithm: search

sample1.7s

Algorithm

intervals

Results

693.0ms	1451×	body	1280	valid
364.0ms	1264×	body	640	valid
293.0ms	4357×	body	80	valid
122.0ms	620×	body	320	valid
42.0ms	308×	body	160	valid

Details

analyze290.0ms

sample56.0ms

simplify3.0ms

prune4.0ms

localize10.0ms

rewrite13.0ms

series34.0ms

simplify70.0ms

prune94.0ms

localize14.0ms

rewrite12.0ms

series82.0ms

simplify109.0ms

prune122.0ms

localize17.0ms

rewrite26.0ms

series48.0ms

simplify46.0ms

prune165.0ms

localize21.0ms

rewrite17.0ms

series60.0ms

simplify152.0ms

prune125.0ms

regimes251.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze287.0ms

sample1.7s

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