Details

sample26.0ms

Algorithm

intervals

Results

12.0ms

316×

body

valid

simplify76.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	25	8
1	47	8
2	96	8
3	165	8
4	241	8
5	390	8
6	1193	8
7	5002	8

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: 7.2b

Counts

2 → 1

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (* z 2.0) (- 1.0 t))
0.0b	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
7.1b	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

rewrite120.0ms

Algorithm

rewrite-expression-head

Rules

297×	`*-un-lft-identity`
207×	`frac-add`
189×	`associate-/r*`
164×	`add-sqr-sqrt`
139×	`associate-l`
129×	`associate-/l*`
123×	`add-cube-cbrt`
88×	`times-frac`
81×	`distribute-lft-out`
56×	`associate-r`
33×	`frac-2neg` `clear-num`
20×	`associate-/l/` `unswap-sqr`
18×	`*-commutative`
13×	`add-exp-log` `add-cbrt-cube`
11×	`flip3-+` `flip-+`
8×	`pow1`
5×	`add-log-exp`
4×	`prod-exp` `cbrt-unprod`
3×	`pow-prod-down`
2×	`cbrt-undiv` `distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/` `div-exp`
1×	`+-commutative` `flip3--` `sum-log` `flip--` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 372

Calls

3 calls:

10.0ms	(* (* z 2.0) (- 1.0 t))
65.0ms	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
20.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

series173.0ms

Counts

3 → 9

Calls

3 calls:

50.0ms	(* (* z 2.0) (- 1.0 t))
51.0ms	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
72.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

simplify119.0ms

Algorithm

egg-herbie

Counts

381 → 381

Iterations

Useful iterations: 1 (61.0ms)

Iter	Nodes	Cost
0	2210	5491
1	5001	5406

prune561.0ms

Filtered

381 candidates to 206 candidates (45.9%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	377	4	381
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	378	4	382

Merged error: 0b

Counts

382 → 4

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 2.0 (/ 1 t))
0.0b	(+ (/ x y) (- (+ (* 2.0 (/ 1 (* t z))) (* 2.0 (/ 1 t))) 2.0))
0.0b	(+ (* 2.0 (/ 1 (* t z))) (* 2.0 (/ 1 t)))
0.4b	(/ 1 (* t z))

rewrite242.0ms

Algorithm

rewrite-expression-head

Rules

414×	`associate-*r/`
270×	`frac-add`
230×	`*-un-lft-identity`
228×	`associate-/r*`
190×	`add-sqr-sqrt`
151×	`add-cube-cbrt`
145×	`associate-/l*`
104×	`associate-r`
102×	`un-div-inv`
80×	`times-frac`
72×	`associate-l`
71×	`clear-num`
37×	`frac-2neg`
33×	`distribute-lft-out`
25×	`*-commutative`
24×	`add-exp-log`
19×	`unswap-sqr`
15×	`add-log-exp`
14×	`add-cbrt-cube`
9×	`pow1` `flip3--` `flip--`
7×	`distribute-rgt-out` `prod-exp` `div-inv`
6×	`div-exp`
5×	`sum-log` `distribute-lft-out--`
4×	`associate-+r+`
3×	`cbrt-undiv` `+-commutative` `rec-exp` `1-exp` `cbrt-unprod`
2×	`pow-flip` `flip3-+` `diff-log` `pow-prod-down` `associate--l+` `flip-+`
1×	`associate-+r-` `sub-neg` `inv-pow`

Counts

4 → 453

Calls

4 calls:

8.0ms	(* 2.0 (/ 1 t))
116.0ms	(+ (/ x y) (- (+ (* 2.0 (/ 1 (* t z))) (* 2.0 (/ 1 t))) 2.0))
76.0ms	(+ (* 2.0 (/ 1 (* t z))) (* 2.0 (/ 1 t)))
7.0ms	(/ 1 (* t z))

series143.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(* 2.0 (/ 1 t))
62.0ms	(+ (/ x y) (- (+ (* 2.0 (/ 1 (* t z))) (* 2.0 (/ 1 t))) 2.0))
51.0ms	(+ (* 2.0 (/ 1 (* t z))) (* 2.0 (/ 1 t)))
13.0ms	(/ 1 (* t z))

simplify120.0ms

Algorithm

egg-herbie

Counts

465 → 465

Iterations

Useful iterations: 1 (60.0ms)

Iter	Nodes	Cost
0	2502	4811
1	5002	4248

prune539.0ms

Filtered

465 candidates to 190 candidates (59.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	465	0	465
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	465	4	469

Merged error: 0b

Counts

469 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (* z 2.0) (- 1.0 t))
0.0b	(+ (/ x y) (/ (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) z) t))
0.3b	(/ (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) z) t)
6.4b	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) z)

rewrite157.0ms

Algorithm

rewrite-expression-head

Rules

611×	`*-un-lft-identity`
412×	`associate-/l*`
378×	`frac-add`
320×	`times-frac`
294×	`add-sqr-sqrt`
285×	`add-cube-cbrt`
189×	`associate-/r*`
174×	`associate-l`
162×	`associate-/l/`
161×	`distribute-lft-out`
63×	`frac-2neg` `clear-num`
16×	`add-exp-log` `add-cbrt-cube`
15×	`div-inv`
12×	`flip3-+` `flip-+`
9×	`pow1`
8×	`associate-r`
6×	`add-log-exp`
4×	`cbrt-undiv` `div-exp` `unswap-sqr`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-r/` `-commutative`
1×	`+-commutative` `flip3--` `sum-log` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 590

Calls

4 calls:

10.0ms	(* (* z 2.0) (- 1.0 t))
69.0ms	(+ (/ x y) (/ (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) z) t))
20.0ms	(/ (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) z) t)
16.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) z)

series234.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(* (* z 2.0) (- 1.0 t))
55.0ms	(+ (/ x y) (/ (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) z) t))
71.0ms	(/ (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) z) t)
60.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) z)

simplify193.0ms

Algorithm

egg-herbie

Counts

602 → 602

Iterations

Useful iterations: 1 (88.0ms)

Iter	Nodes	Cost
0	3187	10449
1	5001	10361

prune840.0ms

Filtered

602 candidates to 300 candidates (50.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	602	0	602
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	602	4	606

Merged error: 0b

Counts

606 → 4

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- y) (/ (* t z) (+ 2.0 (* (* z 2.0) (- 1.0 t)))))
7.0b	(/ (* t z) (+ 2.0 (* (* z 2.0) (- 1.0 t))))
7.0b	(/ (* t z) (+ 2.0 (* (* z 2.0) (- 1.0 t))))
7.4b	(/ (- (+ y (* x (/ (* t z) (+ 2.0 (* (* z 2.0) (- 1.0 t))))))) (* (- y) (/ (* t z) (+ 2.0 (* (* z 2.0) (- 1.0 t))))))

rewrite402.0ms

Algorithm

rewrite-expression-head

Rules

3030×	`*-un-lft-identity`
2672×	`times-frac`
1584×	`associate-r`
1352×	`associate-l`
1298×	`add-sqr-sqrt`
1048×	`distribute-lft-out`
930×	`add-cube-cbrt`
533×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
176×	`unswap-sqr`
128×	`*-commutative`
120×	`associate-/r*`
113×	`neg-mul-1`
66×	`associate-/l*`
60×	`associate-/r/`
42×	`associate-*r/`
37×	`add-exp-log` `add-cbrt-cube`
19×	`flip3-+` `flip-+` `div-inv`
12×	`cbrt-undiv` `div-exp`
10×	`prod-exp` `cbrt-unprod`
7×	`clear-num`
6×	`pow1` `un-div-inv`
5×	`frac-2neg`
4×	`add-log-exp`
2×	`associate-/l/` `distribute-neg-frac`
1×	`distribute-lft-neg-out` `neg-sub0` `div-sub` `distribute-frac-neg` `pow-prod-down`

Counts

4 → 1843

Calls

4 calls:

41.0ms	(* (- y) (/ (* t z) (+ 2.0 (* (* z 2.0) (- 1.0 t)))))
26.0ms	(/ (* t z) (+ 2.0 (* (* z 2.0) (- 1.0 t))))
19.0ms	(/ (* t z) (+ 2.0 (* (* z 2.0) (- 1.0 t))))
128.0ms	(/ (- (+ y (* x (/ (* t z) (+ 2.0 (* (* z 2.0) (- 1.0 t))))))) (* (- y) (/ (* t z) (+ 2.0 (* (* z 2.0) (- 1.0 t))))))

series813.0ms

Counts

4 → 12

Calls

4 calls:

111.0ms	(* (- y) (/ (* t z) (+ 2.0 (* (* z 2.0) (- 1.0 t)))))
71.0ms	(/ (* t z) (+ 2.0 (* (* z 2.0) (- 1.0 t))))
68.0ms	(/ (* t z) (+ 2.0 (* (* z 2.0) (- 1.0 t))))
563.0ms	(/ (- (+ y (* x (/ (* t z) (+ 2.0 (* (* z 2.0) (- 1.0 t))))))) (* (- y) (/ (* t z) (+ 2.0 (* (* z 2.0) (- 1.0 t))))))

simplify515.0ms

Algorithm

egg-herbie

Counts

1855 → 1855

Iterations

Useful iterations: 1 (92.0ms)

Iter	Nodes	Cost
0	3666	47342
1	5002	47152

prune2.6s

Filtered

1855 candidates to 722 candidates (61.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	1854	1	1855
Fresh	1	0	1
Picked	0	1	1
Done	0	2	2
Total	1855	4	1859

Merged error: 0b

Counts

1859 → 4

regimes115.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	9
1	22	9

end0.0ms

sample686.0ms

Algorithm

intervals

Results

413.0ms

10399×

body

valid