Details

sample27.0ms

Algorithm

intervals

Results

9.0ms	237×	body	80	valid
2.0ms	14×	body	640	valid
2.0ms	9×	body	1280	valid
1.0ms	12×	body	320	valid
1.0ms	11×	body	160	valid

simplify118.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	6
1	52	6
2	109	6
3	195	6
4	445	6
5	828	6
6	1434	6
7	2520	6
8	4830	6
9	5001	6

prune2.0ms

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: 16.1b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- z t) y)
3.3b	(- (+ x y) (/ (* (- z t) y) (- a t)))
10.5b	(/ (* (- z t) y) (- a t))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

18×	`*-un-lft-identity`
17×	`add-sqr-sqrt`
10×	`add-exp-log` `add-cbrt-cube`
8×	`add-log-exp`
7×	`add-cube-cbrt`
5×	`pow1` `times-frac` `associate-l` `associate-/r*` `distribute-lft-out--`
4×	`flip3--` `associate-*l/` `flip--` `difference-of-squares`
3×	`associate-r`
2×	`cbrt-undiv` `diff-log` `div-exp` `prod-exp` `associate-/r/` `frac-sub` `cbrt-unprod` `associate-/l/`
1×	`sub-neg` `frac-2neg` `flip3-+` `pow-prod-down` `associate--l+` `clear-num` `sum-log` `-commutative` `flip-+` `div-inv` `distribute-lft-out` `associate-/l` `unswap-sqr`

Counts

3 → 70

Calls

3 calls:

6.0ms	(* (- z t) y)
9.0ms	(- (+ x y) (/ (* (- z t) y) (- a t)))
11.0ms	(/ (* (- z t) y) (- a t))

series198.0ms

Counts

3 → 9

Calls

3 calls:

27.0ms	(* (- z t) y)
111.0ms	(- (+ x y) (/ (* (- z t) y) (- a t)))
59.0ms	(/ (* (- z t) y) (- a t))

simplify45.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	383	461
1	1704	422
2	5001	422

prune178.0ms

Filtered

79 candidates to 56 candidates (70.9%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	71	8	79
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	72	8	80

Merged error: 4.1b

Counts

80 → 8

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a t) y)
4.0b	(- (+ x y) (/ (- z t) (/ (- a t) y)))
10.2b	(/ (- z t) (/ (- a t) y))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

203×	`times-frac`
180×	`add-sqr-sqrt`
176×	`*-un-lft-identity`
87×	`add-cube-cbrt`
45×	`difference-of-squares`
44×	`distribute-lft-out--`
22×	`associate-/r*`
10×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
8×	`div-inv` `add-log-exp`
4×	`cbrt-undiv` `div-exp` `associate-/l/`
3×	`pow1` `flip3--` `div-sub` `flip--`
2×	`frac-2neg` `diff-log` `clear-num` `frac-sub`
1×	`sub-neg` `flip3-+` `associate--l+` `sum-log` `associate-/r/` `flip-+` `distribute-lft-out` `associate--r-`

Counts

3 → 197

Calls

3 calls:

5.0ms	(/ (- a t) y)
31.0ms	(- (+ x y) (/ (- z t) (/ (- a t) y)))
11.0ms	(/ (- z t) (/ (- a t) y))

series231.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(/ (- a t) y)
106.0ms	(- (+ x y) (/ (- z t) (/ (- a t) y)))
100.0ms	(/ (- z t) (/ (- a t) y))

simplify80.0ms

Algorithm

egg-herbie

Counts

206 → 206

Iterations

Useful iterations: 1 (19.0ms)

Iter	Nodes	Cost
0	853	1851
1	3326	1798
2	5001	1798

prune428.0ms

Filtered

206 candidates to 137 candidates (66.5%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	196	10	206
Fresh	5	2	7
Picked	1	0	1
Done	0	0	0
Total	202	12	214

Merged error: 4.1b

Counts

214 → 12

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a t) y)
5.1b	(- y (/ (- z t) (/ (- a t) y)))
10.2b	(/ (- z t) (/ (- a t) y))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

203×	`times-frac`
180×	`add-sqr-sqrt`
174×	`*-un-lft-identity`
87×	`add-cube-cbrt`
45×	`difference-of-squares`
43×	`distribute-lft-out--`
22×	`associate-/r*`
10×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
8×	`div-inv`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp` `associate-/l/`
3×	`pow1` `flip3--` `div-sub` `flip--`
2×	`frac-2neg` `clear-num` `associate-/r/`
1×	`sub-neg` `distribute-rgt-out--` `diff-log` `associate--r-`

Counts

3 → 193

Calls

3 calls:

6.0ms	(/ (- a t) y)
30.0ms	(- y (/ (- z t) (/ (- a t) y)))
11.0ms	(/ (- z t) (/ (- a t) y))

series202.0ms

Counts

3 → 9

Calls

3 calls:

26.0ms	(/ (- a t) y)
80.0ms	(- y (/ (- z t) (/ (- a t) y)))
96.0ms	(/ (- z t) (/ (- a t) y))

simplify82.0ms

Algorithm

egg-herbie

Counts

202 → 202

Iterations

Useful iterations: 1 (22.0ms)

Iter	Nodes	Cost
0	773	1773
1	2975	1720
2	5001	1720

prune412.0ms

Filtered

202 candidates to 137 candidates (67.8%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	200	2	202
Fresh	2	9	11
Picked	1	0	1
Done	0	0	0
Total	203	11	214

Merged error: 4.1b

Counts

214 → 11

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- a t) y)
4.0b	(+ (- (+ x y) (/ z (/ (- a t) y))) (/ t (/ (- a t) y)))
4.5b	(/ z (/ (- a t) y))
8.6b	(/ t (/ (- a t) y))

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

249×	`times-frac`
191×	`*-un-lft-identity`
182×	`add-sqr-sqrt`
126×	`add-cube-cbrt`
41×	`associate-/r*`
30×	`distribute-lft-out--`
28×	`difference-of-squares`
16×	`add-exp-log` `add-cbrt-cube`
13×	`add-log-exp`
11×	`div-inv` `associate-/l*`
7×	`cbrt-undiv` `div-exp`
4×	`pow1` `frac-add` `sum-log` `distribute-lft-out`
3×	`associate-+l+` `frac-2neg` `clear-num`
2×	`flip3--` `flip3-+` `diff-log` `associate-/r/` `frac-sub` `flip--` `flip-+` `associate-/l/`
1×	`+-commutative` `associate-+l-` `sub-neg` `div-sub` `associate--l+`

Counts

4 → 250

Calls

4 calls:

6.0ms	(/ (- a t) y)
51.0ms	(+ (- (+ x y) (/ z (/ (- a t) y))) (/ t (/ (- a t) y)))
8.0ms	(/ z (/ (- a t) y))
8.0ms	(/ t (/ (- a t) y))

series271.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(/ (- a t) y)
78.0ms	(+ (- (+ x y) (/ z (/ (- a t) y))) (/ t (/ (- a t) y)))
84.0ms	(/ z (/ (- a t) y))
84.0ms	(/ t (/ (- a t) y))

simplify101.0ms

Algorithm

egg-herbie

Counts

262 → 262

Iterations

Useful iterations: 2 (78.0ms)

Iter	Nodes	Cost
0	975	2121
1	4273	2044
2	5001	2043

prune552.0ms

Filtered

262 candidates to 193 candidates (73.7%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	262	0	262
Fresh	0	10	10
Picked	0	1	1
Done	0	0	0
Total	262	11	273

Merged error: 4.1b

Counts

273 → 11

regimes279.0ms

Accuracy

30.2% (5.5b remaining)

Error of 9.6b against oracle of 4.1b and baseline of 12.0b

bsearch78.0ms

Steps

Iters	Range		Point
9	1.7518986587352036e-73	5.003509418833054e-67	2.970242852533054e-70
6	-7.82184556599076e-129	-6.459520861010447e-130	-2.5508524678139594e-129

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	18
1	30	18

end0.0ms

sample707.0ms

Algorithm

intervals

Results

278.0ms	7330×	body	80	valid
62.0ms	446×	body	640	valid
46.0ms	417×	body	320	valid
42.0ms	230×	body	1280	valid
23.0ms	272×	body	160	valid
3.0ms	16×	body	2560	valid