Details

sample45.0ms

Algorithm

intervals

Results

15.0ms	256×	body	80	valid
15.0ms	292×	body	80	nan

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

localize19.0ms

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)

rewrite32.0ms

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)))
5.0ms	(/ (* 2.0 PI) 3.0)

series156.0ms

Counts

4 → 10

Calls

4 calls:

17.0ms	(/ (acos (/ (- g) h)) 3.0)
32.0ms	(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))
107.0ms	(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))
0.0ms	(/ (* 2.0 PI) 3.0)

simplify111.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	318	666
1	1047	614
2	4395	614
3	5001	614

prune204.0ms

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)))

rewrite38.0ms

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))
11.0ms	(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)))

simplify102.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (24.0ms)

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

prune256.0ms

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

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* 2.0 PI) (acos (/ (- g) h)))
1.0b	(* (/ 1 3.0) (+ (* 2.0 PI) (acos (/ (- g) h))))
1.0b	(cos (* (/ 1 3.0) (+ (* 2.0 PI) (acos (/ (- g) h)))))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 63

Calls

3 calls:

4.0ms	(+ (* 2.0 PI) (acos (/ (- g) h)))
9.0ms	(* (/ 1 3.0) (+ (* 2.0 PI) (acos (/ (- g) h))))
4.0ms	(cos (* (/ 1 3.0) (+ (* 2.0 PI) (acos (/ (- g) h)))))

series173.0ms

Counts

3 → 9

Calls

3 calls:

22.0ms	(+ (* 2.0 PI) (acos (/ (- g) h)))
38.0ms	(* (/ 1 3.0) (+ (* 2.0 PI) (acos (/ (- g) h))))
113.0ms	(cos (* (/ 1 3.0) (+ (* 2.0 PI) (acos (/ (- g) h)))))

simplify52.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	391	715
1	1867	632
2	5001	612

prune155.0ms

Filtered

72 candidates to 52 candidates (72.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	72	0	72
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	72	3	75

Merged error: 0.0b

Counts

75 → 3

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
21×	`add-exp-log`
19×	`add-cbrt-cube`
18×	`add-cube-cbrt` `*-un-lft-identity`
16×	`cbrt-prod`
11×	`pow1`
9×	`times-frac` `associate-/r*`
6×	`cbrt-undiv` `pow1/3` `swap-sqr` `div-exp` `associate-r` `associate-l`
4×	`prod-exp` `cbrt-unprod` `add-log-exp` `unswap-sqr`
3×	`frac-2neg` `clear-num` `div-inv` `associate-/l*`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `*-commutative`

Counts

4 → 103

Calls

4 calls:

6.0ms	(* (cbrt (cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))) (cbrt (cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))))
5.0ms	(/ (* 2.0 PI) 3.0)
5.0ms	(/ (* 2.0 PI) 3.0)
5.0ms	(/ (* 2.0 PI) 3.0)

series238.0ms

Counts

4 → 6

Calls

4 calls:

238.0ms	(* (cbrt (cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))) (cbrt (cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))))
0.0ms	(/ (* 2.0 PI) 3.0)
0.0ms	(/ (* 2.0 PI) 3.0)
0.0ms	(/ (* 2.0 PI) 3.0)

simplify157.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	213	1193
1	845	1070
2	4914	932
3	5001	932

prune316.0ms

Filtered

109 candidates to 75 candidates (68.8%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	107	2	109
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	107	5	112

Merged error: 0b

Counts

112 → 5

regimes363.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify5.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	22
1	26	22

end0.0ms

sample1.2s

Algorithm

intervals

Results

477.0ms	8000×	body	80	valid
404.0ms	8037×	body	80	nan

Details

sample45.0ms

simplify9.0ms

prune3.0ms

localize19.0ms

rewrite32.0ms

series156.0ms

simplify111.0ms

prune204.0ms

localize25.0ms

rewrite38.0ms

series0.0ms

simplify102.0ms

prune256.0ms

localize13.0ms

rewrite24.0ms

series173.0ms

simplify52.0ms

prune155.0ms

localize18.0ms

rewrite24.0ms

series238.0ms

simplify157.0ms

prune316.0ms

regimes363.0ms

bsearch0.0ms

simplify5.0ms

end0.0ms

sample1.2s

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