Details

analyze743.0ms

Algorithm: search

sample195.0ms

Algorithm

intervals

Results

102.0ms	77×	body	1280	valid
54.0ms	66×	body	640	valid
16.0ms	87×	body	80	valid
9.0ms	15×	body	320	valid
4.0ms	11×	body	160	valid

simplify52.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	74	30
1	182	30
2	657	30
3	2727	30
4	5001	30

prune5.0ms

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: 0.4b

Counts

2 → 1

localize37.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
0.5b	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
1.0b	(- 3.0 (sqrt 5.0))
3.0b	(- (cos x) (cos y))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
16×	`*-un-lft-identity`
12×	`associate-r`
11×	`pow1` `add-exp-log` `add-cbrt-cube`
10×	`associate-*r/`
9×	`flip3--` `flip--`
8×	`add-cube-cbrt` `add-log-exp`
7×	`associate-l` `difference-of-squares`
6×	`sub-neg`
5×	`sqrt-prod`
4×	`distribute-rgt-in` `frac-times` `distribute-lft-in` `pow-prod-down` `prod-exp` `cbrt-unprod` `distribute-lft-out--`
2×	`times-frac` `diff-log` `associate-l/` `-commutative` `unswap-sqr`
1×	`diff-cos`

Counts

4 → 94

Calls

4 calls:

17.0ms	(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
11.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
4.0ms	(- 3.0 (sqrt 5.0))
4.0ms	(- (cos x) (cos y))

series49.0ms

Counts

4 → 10

Calls

4 calls:

22.0ms	(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
17.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
0.0ms	(- 3.0 (sqrt 5.0))
9.0ms	(- (cos x) (cos y))

simplify65.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	622	1094
1	2643	1002
2	5003	1002

prune298.0ms

Filtered

70 candidates to 104 candidates (-48.6%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	94	10	104
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	95	10	105

Merged error: 0.2b

Counts

105 → 10

localize35.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y)))
0.3b	(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
0.5b	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
3.0b	(- (cos x) (cos y))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

36×	`associate-*r/`
35×	`flip3--` `flip--`
32×	`frac-times`
27×	`add-sqr-sqrt`
20×	`pow1` `add-exp-log` `add-cbrt-cube`
18×	`associate-r`
17×	`*-un-lft-identity`
16×	`associate-*l/`
10×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`add-cube-cbrt`
8×	`associate-l`
7×	`sub-neg`
6×	`distribute-rgt-in` `distribute-lft-in` `add-log-exp` `difference-of-squares`
4×	`sqrt-prod` `distribute-lft-out--`
3×	`*-commutative`
2×	`times-frac` `diff-cos` `unswap-sqr`
1×	`diff-log`

Counts

4 → 133

Calls

4 calls:

21.0ms	(* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y)))
19.0ms	(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
10.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
4.0ms	(- (cos x) (cos y))

series82.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y)))
22.0ms	(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
12.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
9.0ms	(- (cos x) (cos y))

simplify117.0ms

Algorithm

egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 1 (21.0ms)

Iter	Nodes	Cost
0	848	2481
1	4931	2282
2	5002	2282

prune667.0ms

Filtered

101 candidates to 145 candidates (-43.6%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	141	4	145
Fresh	2	7	9
Picked	1	0	1
Done	0	0	0
Total	144	11	155

Merged error: 0.2b

Counts

155 → 11

localize42.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
0.5b	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
3.0b	(- (cos x) (cos y))
4.4b	(log (exp (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
15×	`*-un-lft-identity`
12×	`pow1` `associate-r`
11×	`add-exp-log` `add-cbrt-cube`
10×	`associate-*r/`
9×	`add-cube-cbrt`
8×	`flip3--` `flip--`
7×	`sub-neg` `log-prod` `associate-l` `add-log-exp`
6×	`distribute-rgt-in` `distribute-lft-in`
5×	`difference-of-squares`
4×	`frac-times` `exp-sum` `pow-prod-down` `prod-exp` `sqrt-prod` `cbrt-unprod`
3×	`log-pow` `distribute-lft-out--`
2×	`times-frac` `associate-l/` `-commutative` `unswap-sqr`
1×	`exp-prod` `exp-to-pow` `diff-log` `rem-log-exp` `diff-cos`

Counts

4 → 97

Calls

4 calls:

17.0ms	(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
12.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
4.0ms	(- (cos x) (cos y))
4.0ms	(log (exp (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))))

series70.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
13.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
9.0ms	(- (cos x) (cos y))
23.0ms	(log (exp (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))))

simplify63.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	558	1325
1	2444	1204
2	5003	1204

prune371.0ms

Filtered

74 candidates to 109 candidates (-47.3%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	105	4	109
Fresh	3	7	10
Picked	1	0	1
Done	0	0	0
Total	109	11	120

Merged error: 0.2b

Counts

120 → 11

localize46.0ms

Local error

Found 4 expressions with local error:

0.7b	(pow (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) 3)
3.0b	(- (cos x) (cos y))
4.4b	(log (exp (* (cbrt (pow (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) 3)) (- (sin y) (/ (sin x) 16.0)))))
6.6b	(cbrt (pow (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) 3))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt` `*-un-lft-identity`
8×	`pow1` `cbrt-prod`
7×	`add-exp-log` `add-cube-cbrt` `log-prod` `add-cbrt-cube` `add-log-exp`
4×	`cube-div` `associate-*r/` `exp-sum`
3×	`sub-neg` `pow-unpow` `flip3--` `log-pow` `flip--`
2×	`distribute-rgt-in` `cube-mult` `unpow-prod-down` `cbrt-div` `pow-pow` `distribute-lft-in` `unpow3` `cube-prod` `pow-exp` `rem-cube-cbrt` `sqr-pow`
1×	`pow-to-exp` `exp-prod` `exp-to-pow` `pow1/3` `diff-log` `rem-log-exp` `pow-prod-down` `prod-exp` `rem-cbrt-cube` `cbrt-unprod` `diff-cos` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 76

Calls

4 calls:

10.0ms	(pow (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) 3)
4.0ms	(- (cos x) (cos y))
3.0ms	(log (exp (* (cbrt (pow (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) 3)) (- (sin y) (/ (sin x) 16.0)))))
3.0ms	(cbrt (pow (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) 3))

series70.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(pow (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) 3)
9.0ms	(- (cos x) (cos y))
23.0ms	(log (exp (* (cbrt (pow (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) 3)) (- (sin y) (/ (sin x) 16.0)))))
13.0ms	(cbrt (pow (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) 3))

simplify45.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	430	974
1	1647	871
2	5001	871

prune282.0ms

Filtered

64 candidates to 88 candidates (-37.5%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	86	2	88
Fresh	2	8	10
Picked	1	0	1
Done	0	0	0
Total	89	10	99

Merged error: 0.2b

Counts

99 → 10

regimes194.0ms

Accuracy

0% (0.2b remaining)

Error of 0.5b against oracle of 0.2b and baseline of 0.5b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	36
1	49	36

end0.0ms

analyze730.0ms

Algorithm: search

sample6.4s

Algorithm

intervals

Results

3.6s	2762×	body	1280	valid
1.6s	1863×	body	640	valid
457.0ms	735×	body	320	valid
430.0ms	2283×	body	80	valid
139.0ms	357×	body	160	valid

Details

analyze743.0ms

sample195.0ms

simplify52.0ms

prune5.0ms

localize37.0ms

rewrite38.0ms

series49.0ms

simplify65.0ms

prune298.0ms

localize35.0ms

rewrite60.0ms

series82.0ms

simplify117.0ms

prune667.0ms

localize42.0ms

rewrite41.0ms

series70.0ms

simplify63.0ms

prune371.0ms

localize46.0ms

rewrite22.0ms

series70.0ms

simplify45.0ms

prune282.0ms

regimes194.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

analyze730.0ms

sample6.4s

Profiling