Details

sample50.0ms

Algorithm

intervals

Results

18.0ms	256×	body	80	valid
16.0ms	273×	body	80	nan

simplify8.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	9
1	25	9
2	28	9
3	29	9
4	29	9

prune3.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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: 1.0b

Counts

2 → 1

localize14.0ms

Local error

Found 4 expressions with local error:

1.0b	(/ (acos (/ (- g) h)) 3.0)
1.0b	(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))
1.0b	(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))
1.0b	(/ (* 2.0 PI) 3.0)

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

16×	`*-un-lft-identity`
14×	`add-sqr-sqrt` `add-cube-cbrt`
12×	`times-frac`
11×	`add-exp-log` `add-cbrt-cube`
6×	`div-sub` `associate-/r*` `add-log-exp`
4×	`pow1` `associate-+r-` `div-inv` `associate-/l*`
3×	`cbrt-undiv` `acos-neg` `acos-asin` `distribute-frac-neg` `div-exp`
2×	`cos-diff` `frac-2neg` `clear-num`
1×	`+-commutative` `cos-sum` `distribute-rgt-out` `flip3-+` `frac-add` `prod-exp` `sum-log` `cbrt-unprod` `flip-+` `distribute-lft-out`

Counts

4 → 76

Calls

4 calls:

3.0ms	(/ (acos (/ (- g) h)) 3.0)
10.0ms	(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))
11.0ms	(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))
8.0ms	(/ (* 2.0 PI) 3.0)

series146.0ms

Counts

4 → 10

Calls

4 calls:

11.0ms	(/ (acos (/ (- g) h)) 3.0)
32.0ms	(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))
103.0ms	(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))
0.0ms	(/ (* 2.0 PI) 3.0)

simplify115.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	318	666
1	1047	614
2	4395	614
3	5002	614

prune199.0ms

Filtered

86 candidates to 66 candidates (76.7%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	83	3	86
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	84	3	87

Merged error: 0.0b

Counts

87 → 3

localize25.0ms

Local error

Found 4 expressions with local error:

1.0b	(/ (* 2.0 PI) 3.0)
1.0b	(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
1.0b	(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
58.2b	(sin (+ (/ (* 2.0 PI) 3.0) (/ PI 3.0)))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

26×	`*-un-lft-identity`
19×	`times-frac`
10×	`add-sqr-sqrt` `add-cube-cbrt` `distribute-rgt-out`
9×	`add-exp-log` `add-cbrt-cube`
8×	`add-log-exp`
5×	`div-inv`
4×	`pow1`
3×	`associate-/r*`
2×	`cbrt-undiv` `+-commutative` `distribute-lft1-in` `flip3-+` `div-exp` `frac-add` `sum-log` `flip-+` `distribute-lft-out`
1×	`frac-2neg` `sin-sum` `prod-exp` `clear-num` `cbrt-unprod` `associate-/l*`

Counts

4 → 67

Calls

4 calls:

5.0ms	(/ (* 2.0 PI) 3.0)
10.0ms	(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
10.0ms	(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
10.0ms	(sin (+ (/ (* 2.0 PI) 3.0) (/ PI 3.0)))

series0.0ms

Counts

4 → 4

Calls

4 calls:

0.0ms	(/ (* 2.0 PI) 3.0)
0.0ms	(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
0.0ms	(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
0.0ms	(sin (+ (/ (* 2.0 PI) 3.0) (/ PI 3.0)))

simplify101.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (23.0ms)

Iter	Nodes	Cost
0	234	454
1	822	413
2	3837	405
3	5002	405

prune248.0ms

Filtered

71 candidates to 56 candidates (78.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	71	0	71
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	71	3	74

Merged error: 0.0b

Counts

74 → 3

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (acos (/ (- g) h)) (* 2.0 PI))
0.0b	(/ (* 3.0 (+ (acos (/ (- g) h)) (* 2.0 PI))) (* 3.0 3.0))
1.0b	(* 3.0 (+ (acos (/ (- g) h)) (* 2.0 PI)))
1.0b	(cos (/ (* 3.0 (+ (acos (/ (- g) h)) (* 2.0 PI))) (* 3.0 3.0)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-exp-log` `add-cbrt-cube`
8×	`add-sqr-sqrt`
6×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
5×	`prod-exp` `cbrt-unprod`
4×	`cbrt-undiv` `associate-*r/` `div-exp`
3×	`flip3-+` `associate-r` `associate-l` `flip-+`
2×	`associate-+l-` `associate-/l/`
1×	`acos-neg` `+-commutative` `distribute-rgt-in` `acos-asin` `frac-2neg` `distribute-lft-in` `times-frac` `distribute-frac-neg` `pow-prod-down` `clear-num` `associate-/r` `sum-log` `-commutative` `div-inv` `associate-/l*` `unswap-sqr`

Counts

4 → 65

Calls

4 calls:

3.0ms	(+ (acos (/ (- g) h)) (* 2.0 PI))
7.0ms	(/ (* 3.0 (+ (acos (/ (- g) h)) (* 2.0 PI))) (* 3.0 3.0))
5.0ms	(* 3.0 (+ (acos (/ (- g) h)) (* 2.0 PI)))
3.0ms	(cos (/ (* 3.0 (+ (acos (/ (- g) h)) (* 2.0 PI))) (* 3.0 3.0)))

series212.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(+ (acos (/ (- g) h)) (* 2.0 PI))
41.0ms	(/ (* 3.0 (+ (acos (/ (- g) h)) (* 2.0 PI))) (* 3.0 3.0))
37.0ms	(* 3.0 (+ (acos (/ (- g) h)) (* 2.0 PI)))
112.0ms	(cos (/ (* 3.0 (+ (acos (/ (- g) h)) (* 2.0 PI))) (* 3.0 3.0)))

simplify53.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	326	770
1	1674	615
2	5001	604

prune159.0ms

Filtered

77 candidates to 54 candidates (70.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	76	1	77
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	77	3	80

Merged error: 0.0b

Counts

80 → 3

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (cos (/ (* 3.0 (+ (acos (/ (- g) h)) (* 2.0 PI))) (* 3.0 3.0))))
0.0b	(log (exp (cos (/ (* 3.0 (+ (acos (/ (- g) h)) (* 2.0 PI))) (* 3.0 3.0)))))
1.0b	(* 3.0 (+ (acos (/ (- g) h)) (* 2.0 PI)))
1.0b	(cos (/ (* 3.0 (+ (acos (/ (- g) h)) (* 2.0 PI))) (* 3.0 3.0)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
9×	`add-cube-cbrt` `*-un-lft-identity`
7×	`pow1`
6×	`add-exp-log` `exp-prod` `add-cbrt-cube`
5×	`add-log-exp`
4×	`log-pow`
3×	`log-prod` `associate-r` `associate-l`
2×	`associate-*r/`
1×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `rem-log-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `rem-exp-log` `unswap-sqr`

Counts

4 → 55

Calls

4 calls:

3.0ms	(exp (cos (/ (* 3.0 (+ (acos (/ (- g) h)) (* 2.0 PI))) (* 3.0 3.0))))
3.0ms	(log (exp (cos (/ (* 3.0 (+ (acos (/ (- g) h)) (* 2.0 PI))) (* 3.0 3.0)))))
5.0ms	(* 3.0 (+ (acos (/ (- g) h)) (* 2.0 PI)))
3.0ms	(cos (/ (* 3.0 (+ (acos (/ (- g) h)) (* 2.0 PI))) (* 3.0 3.0)))

series388.0ms

Counts

4 → 12

Calls

4 calls:

136.0ms	(exp (cos (/ (* 3.0 (+ (acos (/ (- g) h)) (* 2.0 PI))) (* 3.0 3.0))))
110.0ms	(log (exp (cos (/ (* 3.0 (+ (acos (/ (- g) h)) (* 2.0 PI))) (* 3.0 3.0)))))
36.0ms	(* 3.0 (+ (acos (/ (- g) h)) (* 2.0 PI)))
106.0ms	(cos (/ (* 3.0 (+ (acos (/ (- g) h)) (* 2.0 PI))) (* 3.0 3.0)))

simplify118.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	221	726
1	862	630
2	4211	630
3	5002	630

prune171.0ms

Filtered

67 candidates to 50 candidates (74.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	64	3	67
Fresh	1	0	1
Picked	0	1	1
Done	1	0	1
Total	66	4	70

Merged error: 0b

Counts

70 → 4

regimes121.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	27
1	29	27

end0.0ms

sample1.3s

Algorithm

intervals

Results

568.0ms	8000×	body	80	valid
476.0ms	7969×	body	80	nan

Details

sample50.0ms

simplify8.0ms

prune3.0ms

localize14.0ms

rewrite35.0ms

series146.0ms

simplify115.0ms

prune199.0ms

localize25.0ms

rewrite37.0ms

series0.0ms

simplify101.0ms

prune248.0ms

localize14.0ms

rewrite20.0ms

series212.0ms

simplify53.0ms

prune159.0ms

localize22.0ms

rewrite16.0ms

series388.0ms

simplify118.0ms

prune171.0ms

regimes121.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.3s

Profiling