Details

sample234.0ms

Algorithm

intervals

Results

114.0ms	80×	body	1280	valid
55.0ms	59×	body	640	valid
17.0ms	82×	body	80	valid
15.0ms	23×	body	320	valid
6.0ms	12×	body	160	valid

simplify59.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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: 0.5b

Counts

2 → 1

localize38.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))
0.4b	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
1.0b	(- 3.0 (sqrt 5.0))
1.7b	(- (cos x) (cos y))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

50×	`add-sqr-sqrt`
30×	`*-un-lft-identity`
28×	`associate-l`
20×	`times-frac`
18×	`add-cube-cbrt`
11×	`add-exp-log` `add-cbrt-cube` `difference-of-squares`
9×	`associate-r`
8×	`pow1` `sqrt-prod` `add-log-exp`
6×	`distribute-lft-out--`
4×	`sub-neg` `unswap-sqr`
3×	`flip3--` `prod-exp` `flip--` `cbrt-unprod`
2×	`distribute-rgt-in` `distribute-lft-in` `diff-log` `associate-r/` `pow-prod-down` `-commutative`
1×	`cbrt-undiv` `div-exp` `associate-*l/` `div-inv` `diff-cos`

Counts

4 → 102

Calls

4 calls:

10.0ms	(* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))
10.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
4.0ms	(- 3.0 (sqrt 5.0))
4.0ms	(- (cos x) (cos y))

series28.0ms

Counts

4 → 10

Calls

4 calls:

7.0ms	(* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))
13.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
0.0ms	(- 3.0 (sqrt 5.0))
9.0ms	(- (cos x) (cos y))

simplify54.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	584	813
1	2075	753
2	5001	753

prune365.0ms

Filtered

76 candidates to 112 candidates (-47.4%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	99	13	112
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	100	13	113

Merged error: 0.1b

Counts

113 → 13

localize39.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ (+ 2.0 (* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y)))) (* 3.0 (+ (+ 1.0 (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))) (* (/ (/ (+ (* 3.0 3.0) (neg 5.0)) (+ 3.0 (sqrt 5.0))) 2.0) (cos y)))))
0.3b	(* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))
0.4b	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
1.7b	(- (cos x) (cos y))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

48×	`add-sqr-sqrt`
30×	`*-un-lft-identity`
28×	`associate-l`
23×	`times-frac`
20×	`add-cube-cbrt`
16×	`add-exp-log` `add-cbrt-cube`
9×	`associate-r` `difference-of-squares`
8×	`pow1`
7×	`sqrt-prod`
6×	`associate-*r/` `add-log-exp`
5×	`distribute-lft-out--`
4×	`prod-exp` `associate-/r/` `cbrt-unprod` `unswap-sqr`
3×	`cbrt-undiv` `sub-neg` `flip3-+` `div-exp` `associate-l/` `flip-+` `associate-/l`
2×	`distribute-rgt-in` `flip3--` `distribute-lft-in` `pow-prod-down` `frac-add` `*-commutative` `flip--` `div-inv` `associate-/l/`
1×	`frac-2neg` `diff-log` `clear-num` `associate-/r*` `diff-cos`

Counts

4 → 114

Calls

4 calls:

11.0ms	(/ (+ 2.0 (* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y)))) (* 3.0 (+ (+ 1.0 (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))) (* (/ (/ (+ (* 3.0 3.0) (neg 5.0)) (+ 3.0 (sqrt 5.0))) 2.0) (cos y)))))
10.0ms	(* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))
10.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
4.0ms	(- (cos x) (cos y))

series300.0ms

Counts

4 → 12

Calls

4 calls:

272.0ms	(/ (+ 2.0 (* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y)))) (* 3.0 (+ (+ 1.0 (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))) (* (/ (/ (+ (* 3.0 3.0) (neg 5.0)) (+ 3.0 (sqrt 5.0))) 2.0) (cos y)))))
6.0ms	(* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))
12.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
9.0ms	(- (cos x) (cos y))

simplify103.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 1 (22.0ms)

Iter	Nodes	Cost
0	1029	2159
1	4404	1906
2	5001	1906

prune468.0ms

Filtered

89 candidates to 126 candidates (-41.6%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	121	5	126
Fresh	7	5	12
Picked	1	0	1
Done	0	0	0
Total	129	10	139

Merged error: 0.0b

Counts

139 → 10

localize47.0ms

Local error

Found 4 expressions with local error:

0.5b	(pow (* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y))) 3)
1.7b	(- (cos x) (cos y))
1.7b	(- (cos x) (cos y))
1.7b	(- (cos x) (cos y))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

30×	`flip3--` `flip--`
28×	`frac-times`
26×	`cube-div` `associate-*r/`
14×	`pow1` `add-exp-log` `associate-*l/` `add-cbrt-cube`
11×	`add-sqr-sqrt` `*-un-lft-identity`
10×	`add-log-exp`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`add-cube-cbrt`
4×	`pow-pow` `pow-exp` `rem-cube-cbrt`
3×	`sub-neg` `pow-unpow` `diff-log` `diff-cos` `distribute-lft-out--` `difference-of-squares`
1×	`cube-mult` `pow-to-exp` `unpow-prod-down` `unpow3` `cube-prod` `sqr-pow`

Counts

4 → 99

Calls

4 calls:

30.0ms	(pow (* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y))) 3)
4.0ms	(- (cos x) (cos y))
4.0ms	(- (cos x) (cos y))
4.0ms	(- (cos x) (cos y))

series177.0ms

Counts

4 → 12

Calls

4 calls:

151.0ms	(pow (* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y))) 3)
8.0ms	(- (cos x) (cos y))
8.0ms	(- (cos x) (cos y))
9.0ms	(- (cos x) (cos y))

simplify37.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 1 (22.0ms)

Iter	Nodes	Cost
0	984	1844
1	5002	1711

prune690.0ms

Filtered

83 candidates to 111 candidates (-33.7%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	110	1	111
Fresh	0	9	9
Picked	1	0	1
Done	0	0	0
Total	111	10	121

Merged error: 0.0b

Counts

121 → 10

localize37.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
1.0b	(- 3.0 (sqrt 5.0))
1.7b	(- (cos x) (cos y))
1.9b	(log (exp (- (cos x) (cos y))))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 82

Calls

4 calls:

11.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
4.0ms	(- 3.0 (sqrt 5.0))
6.0ms	(- (cos x) (cos y))
5.0ms	(log (exp (- (cos x) (cos y))))

series30.0ms

Counts

4 → 10

Calls

4 calls:

12.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
0.0ms	(- 3.0 (sqrt 5.0))
9.0ms	(- (cos x) (cos y))
9.0ms	(log (exp (- (cos x) (cos y))))

simplify37.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	413	606
1	1305	559
2	5002	558

prune199.0ms

Filtered

64 candidates to 92 candidates (-43.8%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	91	1	92
Fresh	1	8	9
Picked	0	1	1
Done	0	0	0
Total	92	10	102

Merged error: 0.0b

Counts

102 → 10

regimes196.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	30
1	40	30

end0.0ms

sample6.1s

Algorithm

intervals

Results

3.4s	2767×	body	1280	valid
1.5s	1838×	body	640	valid
417.0ms	730×	body	320	valid
406.0ms	2322×	body	80	valid
126.0ms	343×	body	160	valid

Details

sample234.0ms

simplify59.0ms

prune5.0ms

localize38.0ms

rewrite32.0ms

series28.0ms

simplify54.0ms

prune365.0ms

localize39.0ms

rewrite39.0ms

series300.0ms

simplify103.0ms

prune468.0ms

localize47.0ms

rewrite46.0ms

series177.0ms

simplify37.0ms

prune690.0ms

localize37.0ms

rewrite28.0ms

series30.0ms

simplify37.0ms

prune199.0ms

regimes196.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample6.1s

Profiling