Details

sample48.0ms

Algorithm

intervals

Results

16.0ms	256×	body	80	valid
14.0ms	288×	body	80	nan

simplify10.0ms

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 (100.0%)

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

localize13.0ms

Local error

Found 4 expressions with local error:

0.9b	(/ (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) (/ (acos (/ (- g) h)) 3.0))
1.0b	(/ (* 2.0 PI) 3.0)

rewrite122.0ms

Algorithm

rewrite-expression-head

Rules

177×	`associate-/l*`
162×	`frac-add`
139×	`add-sqr-sqrt`
127×	`*-un-lft-identity`
113×	`add-cube-cbrt`
87×	`associate-/r*`
57×	`times-frac`
42×	`associate-l`
39×	`associate-r`
29×	`frac-2neg` `clear-num`
13×	`*-commutative` `unswap-sqr`
11×	`add-exp-log` `add-cbrt-cube`
7×	`distribute-lft-out`
6×	`div-sub` `add-log-exp`
4×	`pow1` `associate-+r-` `div-inv`
3×	`cbrt-undiv` `acos-neg` `acos-asin` `distribute-frac-neg` `div-exp`
2×	`+-commutative` `cos-diff` `cos-sum`
1×	`distribute-rgt-out` `flip3-+` `prod-exp` `sum-log` `cbrt-unprod` `flip-+`

Counts

4 → 288

Calls

4 calls:

4.0ms	(/ (acos (/ (- g) h)) 3.0)
49.0ms	(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))
42.0ms	(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))
8.0ms	(/ (* 2.0 PI) 3.0)

series162.0ms

Counts

4 → 10

Calls

4 calls:

15.0ms	(/ (acos (/ (- g) h)) 3.0)
111.0ms	(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))
35.0ms	(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))
0.0ms	(/ (* 2.0 PI) 3.0)

simplify84.0ms

Algorithm

egg-herbie

Counts

298 → 298

Iterations

Useful iterations: 1 (46.0ms)

Iter	Nodes	Cost
0	1800	3808
1	5002	3718

prune596.0ms

Filtered

298 candidates to 200 candidates (32.9%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	295	3	298
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	296	3	299

Merged error: 0.0b

Counts

299 → 3

localize26.0ms

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)))

rewrite173.0ms

Algorithm

rewrite-expression-head

Rules

336×	`associate-/l*`
324×	`frac-add`
259×	`*-un-lft-identity`
253×	`add-sqr-sqrt`
209×	`add-cube-cbrt`
165×	`associate-/r*`
116×	`times-frac`
88×	`associate-r`
72×	`associate-l`
55×	`frac-2neg` `clear-num`
30×	`distribute-rgt-out`
22×	`*-commutative` `unswap-sqr`
14×	`distribute-lft-out`
9×	`add-exp-log` `add-cbrt-cube`
8×	`add-log-exp`
5×	`div-inv`
4×	`pow1` `distribute-lft1-in`
3×	`+-commutative`
2×	`cbrt-undiv` `flip3-+` `sin-sum` `div-exp` `sum-log` `flip-+`
1×	`prod-exp` `cbrt-unprod`

Counts

4 → 468

Calls

4 calls:

8.0ms	(/ (* 2.0 PI) 3.0)
38.0ms	(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
41.0ms	(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
52.0ms	(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)))

simplify96.0ms

Algorithm

egg-herbie

Counts

472 → 472

Iterations

Useful iterations: 1 (43.0ms)

Iter	Nodes	Cost
0	1674	4858
1	5001	4696

prune1.5s

Filtered

472 candidates to 301 candidates (36.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	472	0	472
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	472	3	475

Merged error: 0.0b

Counts

475 → 3

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite656.0ms

Algorithm

rewrite-expression-head

Rules

606×	`times-frac`
516×	`*-un-lft-identity`
458×	`add-sqr-sqrt`
380×	`associate-l`
280×	`add-cube-cbrt`
118×	`distribute-lft-out`
117×	`associate-r`
100×	`cbrt-prod`
96×	`associate-/r*`
83×	`unswap-sqr`
37×	`add-cbrt-cube`
29×	`*-commutative`
24×	`swap-sqr`
23×	`add-exp-log`
18×	`associate-*l/` `associate-/r/`
16×	`cbrt-undiv`
12×	`cbrt-unprod`
11×	`associate-/l*`
8×	`div-exp` `div-inv`
6×	`add-log-exp`
5×	`prod-exp`
4×	`pow1`
3×	`frac-2neg` `clear-num`
2×	`flip3-+` `div-sub` `flip-+` `associate-/l/`
1×	`acos-neg` `+-commutative` `acos-asin` `distribute-frac-neg` `sum-log`

Counts

4 → 538

Calls

4 calls:

205.0ms	(/ (+ (* (/ 3.0 (* 2.0 PI)) (/ (acos (/ (- g) h)) (* (cbrt 3.0) (cbrt 3.0)))) (cbrt 3.0)) (* (/ 3.0 (* 2.0 PI)) (cbrt 3.0)))
12.0ms	(/ (acos (/ (- g) h)) (* (cbrt 3.0) (cbrt 3.0)))
176.0ms	(+ (* (/ 3.0 (* 2.0 PI)) (/ (acos (/ (- g) h)) (* (cbrt 3.0) (cbrt 3.0)))) (cbrt 3.0))
215.0ms	(cos (/ (+ (* (/ 3.0 (* 2.0 PI)) (/ (acos (/ (- g) h)) (* (cbrt 3.0) (cbrt 3.0)))) (cbrt 3.0)) (* (/ 3.0 (* 2.0 PI)) (cbrt 3.0))))

series1.4s

Counts

4 → 12

Calls

4 calls:

448.0ms	(/ (+ (* (/ 3.0 (* 2.0 PI)) (/ (acos (/ (- g) h)) (* (cbrt 3.0) (cbrt 3.0)))) (cbrt 3.0)) (* (/ 3.0 (* 2.0 PI)) (cbrt 3.0)))
96.0ms	(/ (acos (/ (- g) h)) (* (cbrt 3.0) (cbrt 3.0)))
226.0ms	(+ (* (/ 3.0 (* 2.0 PI)) (/ (acos (/ (- g) h)) (* (cbrt 3.0) (cbrt 3.0)))) (cbrt 3.0))
645.0ms	(cos (/ (+ (* (/ 3.0 (* 2.0 PI)) (/ (acos (/ (- g) h)) (* (cbrt 3.0) (cbrt 3.0)))) (cbrt 3.0)) (* (/ 3.0 (* 2.0 PI)) (cbrt 3.0))))

simplify156.0ms

Algorithm

egg-herbie

Counts

550 → 550

Iterations

Useful iterations: 1 (46.0ms)

Iter	Nodes	Cost
0	1967	13122
1	5001	12822

prune1.5s

Filtered

550 candidates to 334 candidates (39.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	549	1	550
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	550	3	553

Merged error: 0.0b

Counts

553 → 3

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (/ 3.0 (* 2.0 PI)) (/ (acos (/ (- g) h)) (* (cbrt 3.0) (cbrt 3.0)))) (cbrt 3.0))
1.0b	(cos (/ (+ (* (/ 3.0 (* 2.0 PI)) (/ (acos (/ (- g) h)) (* (cbrt 3.0) (cbrt 3.0)))) (cbrt 3.0)) (* (/ 3.0 (* 2.0 PI)) (cbrt 3.0))))
1.0b	(cbrt (pow (cos (/ (+ (* (/ 3.0 (* 2.0 PI)) (/ (acos (/ (- g) h)) (* (cbrt 3.0) (cbrt 3.0)))) (cbrt 3.0)) (* (/ 3.0 (* 2.0 PI)) (cbrt 3.0)))) 3))
1.0b	(pow (cos (/ (+ (* (/ 3.0 (* 2.0 PI)) (/ (acos (/ (- g) h)) (* (cbrt 3.0) (cbrt 3.0)))) (cbrt 3.0)) (* (/ 3.0 (* 2.0 PI)) (cbrt 3.0)))) 3)

rewrite395.0ms

Algorithm

rewrite-expression-head

Rules

13×	`*-un-lft-identity`
8×	`cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt`
6×	`unpow-prod-down` `add-log-exp`
5×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`pow-unpow`
2×	`unpow3` `rem-cbrt-cube` `distribute-lft-out` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `pow-pow` `flip3-+` `pow1/3` `associate-l` `pow-exp` `sum-log` `flip-+` `rem-cube-cbrt`

Counts

4 → 57

Calls

4 calls:

175.0ms	(+ (* (/ 3.0 (* 2.0 PI)) (/ (acos (/ (- g) h)) (* (cbrt 3.0) (cbrt 3.0)))) (cbrt 3.0))
213.0ms	(cos (/ (+ (* (/ 3.0 (* 2.0 PI)) (/ (acos (/ (- g) h)) (* (cbrt 3.0) (cbrt 3.0)))) (cbrt 3.0)) (* (/ 3.0 (* 2.0 PI)) (cbrt 3.0))))
2.0ms	(cbrt (pow (cos (/ (+ (* (/ 3.0 (* 2.0 PI)) (/ (acos (/ (- g) h)) (* (cbrt 3.0) (cbrt 3.0)))) (cbrt 3.0)) (* (/ 3.0 (* 2.0 PI)) (cbrt 3.0)))) 3))
2.0ms	(pow (cos (/ (+ (* (/ 3.0 (* 2.0 PI)) (/ (acos (/ (- g) h)) (* (cbrt 3.0) (cbrt 3.0)))) (cbrt 3.0)) (* (/ 3.0 (* 2.0 PI)) (cbrt 3.0)))) 3)

series2.4s

Counts

4 → 12

Calls

4 calls:

229.0ms	(+ (* (/ 3.0 (* 2.0 PI)) (/ (acos (/ (- g) h)) (* (cbrt 3.0) (cbrt 3.0)))) (cbrt 3.0))
653.0ms	(cos (/ (+ (* (/ 3.0 (* 2.0 PI)) (/ (acos (/ (- g) h)) (* (cbrt 3.0) (cbrt 3.0)))) (cbrt 3.0)) (* (/ 3.0 (* 2.0 PI)) (cbrt 3.0))))
658.0ms	(cbrt (pow (cos (/ (+ (* (/ 3.0 (* 2.0 PI)) (/ (acos (/ (- g) h)) (* (cbrt 3.0) (cbrt 3.0)))) (cbrt 3.0)) (* (/ 3.0 (* 2.0 PI)) (cbrt 3.0)))) 3))
866.0ms	(pow (cos (/ (+ (* (/ 3.0 (* 2.0 PI)) (/ (acos (/ (- g) h)) (* (cbrt 3.0) (cbrt 3.0)))) (cbrt 3.0)) (* (/ 3.0 (* 2.0 PI)) (cbrt 3.0)))) 3)

simplify46.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	222	1518
1	855	1409
2	5002	1401

prune175.0ms

Filtered

69 candidates to 42 candidates (39.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	68	1	69
Fresh	0	0	0
Picked	0	1	1
Done	1	1	2
Total	69	3	72

Merged error: 0.0b

Counts

72 → 3

regimes114.0ms

Accuracy

0% (0.0b 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	34	61
1	34	61

end0.0ms

sample1.2s

Algorithm

intervals

Results

486.0ms	8000×	body	80	valid
408.0ms	8016×	body	80	nan