Details

sample25.0ms

Algorithm

intervals

Results

12.0ms

269×

body

valid

simplify90.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	20	5
1	36	4
2	59	4
3	103	4
4	173	4
5	236	4
6	265	4
7	311	4
8	375	4
9	511	4
10	674	4
11	1179	4
12	1300	4
13	1308	4
14	1308	4

prune6.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 1.3b

Counts

2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y (/ (- z t) (- a t))))
0.0b	(/ (- z t) (- a t))
2.9b	(* y (/ (- z t) (- a t)))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

85×	`*-un-lft-identity`
83×	`add-sqr-sqrt`
51×	`times-frac`
31×	`associate-r`
30×	`add-cube-cbrt`
25×	`distribute-lft-out--`
24×	`difference-of-squares`
15×	`associate-*r/`
12×	`associate-/l*`
10×	`add-exp-log` `associate-/r*` `add-cbrt-cube`
5×	`pow1` `add-log-exp`
4×	`flip3--` `associate-l` `associate-/r/` `flip--` `associate-/l/`
3×	`expm1-log1p-u` `fma-def` `clear-num` `un-div-inv` `log1p-expm1-u`
2×	`cbrt-undiv` `frac-2neg` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `distribute-lft-out` `unswap-sqr`
1×	`+-commutative` `flip3-+` `div-sub` `pow-prod-down` `sum-log` `*-commutative` `flip-+`

Counts

3 → 141

Calls

3 calls:

21.0ms	(+ x (* y (/ (- z t) (- a t))))
9.0ms	(/ (- z t) (- a t))
17.0ms	(* y (/ (- z t) (- a t)))

series209.0ms

Counts

3 → 9

Calls

3 calls:

85.0ms	(+ x (* y (/ (- z t) (- a t))))
55.0ms	(/ (- z t) (- a t))
70.0ms	(* y (/ (- z t) (- a t)))

simplify75.0ms

Algorithm

egg-herbie

Counts

150 → 150

Iterations

Useful iterations: 1 (17.0ms)

Iter	Nodes	Cost
0	474	833
1	1900	785
2	5001	785

prune392.0ms

Filtered

150 candidates to 103 candidates (68.7%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	144	6	150
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	145	6	151

Merged error: 0b

Counts

151 → 6

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a t) (- z t))
0.0b	(+ x (/ y (/ (- a t) (- z t))))
3.0b	(/ y (/ (- a t) (- z t)))

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

218×	`times-frac`
204×	`*-un-lft-identity`
202×	`add-sqr-sqrt`
94×	`add-cube-cbrt`
54×	`distribute-lft-out--` `difference-of-squares`
41×	`associate-/r*`
25×	`associate-/r/`
13×	`associate-/l*`
10×	`add-exp-log` `add-cbrt-cube`
7×	`flip3--` `flip--`
6×	`div-inv`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp` `associate-/l/`
3×	`pow1` `expm1-log1p-u` `fma-def` `frac-2neg` `clear-num` `log1p-expm1-u`
1×	`+-commutative` `flip3-+` `div-sub` `sum-log` `flip-+` `distribute-lft-out`

Counts

3 → 229

Calls

3 calls:

9.0ms	(/ (- a t) (- z t))
31.0ms	(+ x (/ y (/ (- a t) (- z t))))
19.0ms	(/ y (/ (- a t) (- z t)))

series381.0ms

Counts

3 → 9

Calls

3 calls:

60.0ms	(/ (- a t) (- z t))
139.0ms	(+ x (/ y (/ (- a t) (- z t))))
182.0ms	(/ y (/ (- a t) (- z t)))

simplify120.0ms

Algorithm

egg-herbie

Counts

238 → 238

Iterations

Useful iterations: 2 (97.0ms)

Iter	Nodes	Cost
0	732	1964
1	3183	1905
2	5002	1901

prune676.0ms

Filtered

238 candidates to 164 candidates (68.9%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	234	4	238
Fresh	4	1	5
Picked	1	0	1
Done	0	0	0
Total	239	5	244

Merged error: 0b

Counts

244 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ a (- z t))
0.0b	(/ t (- z t))
0.0b	(+ x (/ y (- (/ a (- z t)) (/ t (- z t)))))
3.0b	(/ y (- (/ a (- z t)) (/ t (- z t))))

rewrite171.0ms

Algorithm

rewrite-expression-head

Rules

284×	`*-un-lft-identity`
230×	`add-sqr-sqrt`
156×	`times-frac` `associate-/r*` `associate-/r/`
121×	`frac-sub`
102×	`add-cube-cbrt`
84×	`distribute-lft-out--`
75×	`associate-/l*`
56×	`difference-of-squares`
27×	`frac-2neg`
25×	`clear-num`
13×	`sub-div`
12×	`distribute-rgt-out--`
11×	`flip3--` `flip--` `div-inv`
10×	`add-exp-log` `add-cbrt-cube`
6×	`add-log-exp`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u`
3×	`cbrt-undiv` `fma-def` `div-exp`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+` `distribute-lft-out`

Counts

4 → 320

Calls

4 calls:

7.0ms	(/ a (- z t))
6.0ms	(/ t (- z t))
84.0ms	(+ x (/ y (- (/ a (- z t)) (/ t (- z t)))))
51.0ms	(/ y (- (/ a (- z t)) (/ t (- z t))))

series361.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(/ a (- z t))
51.0ms	(/ t (- z t))
138.0ms	(+ x (/ y (- (/ a (- z t)) (/ t (- z t)))))
134.0ms	(/ y (- (/ a (- z t)) (/ t (- z t))))

simplify85.0ms

Algorithm

egg-herbie

Counts

332 → 332

Iterations

Useful iterations: 1 (51.0ms)

Iter	Nodes	Cost
0	1423	2945
1	5001	2880

prune915.0ms

Filtered

332 candidates to 215 candidates (64.8%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	329	3	332
Fresh	3	1	4
Picked	1	0	1
Done	0	0	0
Total	333	4	337

Merged error: 0b

Counts

337 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ y (- (/ a (- z t)) (/ 1 (/ (- z t) t)))))
0.0b	(/ (- z t) t)
0.3b	(/ 1 (/ (- z t) t))
3.0b	(/ y (- (/ a (- z t)) (/ 1 (/ (- z t) t))))

rewrite353.0ms

Algorithm

rewrite-expression-head

Rules

579×	`*-un-lft-identity`
570×	`add-sqr-sqrt`
495×	`times-frac`
385×	`associate-/r*`
326×	`associate-/r/`
275×	`frac-sub`
272×	`add-cube-cbrt`
154×	`associate-/l*`
152×	`distribute-lft-out--`
123×	`difference-of-squares`
49×	`clear-num`
40×	`frac-2neg`
22×	`div-inv`
19×	`add-exp-log`
13×	`add-cbrt-cube`
9×	`div-exp`
6×	`add-log-exp`
5×	`pow1` `cbrt-undiv`
4×	`expm1-log1p-u` `log1p-expm1-u` `associate-/l/`
3×	`flip3--` `fma-def` `flip--` `remove-double-div`
2×	`rec-exp` `1-exp`
1×	`+-commutative` `pow-flip` `flip3-+` `div-sub` `sum-log` `flip-+` `distribute-lft-out` `inv-pow`

Counts

4 → 572

Calls

4 calls:

169.0ms	(+ x (/ y (- (/ a (- z t)) (/ 1 (/ (- z t) t)))))
8.0ms	(/ (- z t) t)
12.0ms	(/ 1 (/ (- z t) t))
109.0ms	(/ y (- (/ a (- z t)) (/ 1 (/ (- z t) t))))

series352.0ms

Counts

4 → 12

Calls

4 calls:

138.0ms	(+ x (/ y (- (/ a (- z t)) (/ 1 (/ (- z t) t)))))
29.0ms	(/ (- z t) t)
54.0ms	(/ 1 (/ (- z t) t))
130.0ms	(/ y (- (/ a (- z t)) (/ 1 (/ (- z t) t))))

simplify164.0ms

Algorithm

egg-herbie

Counts

584 → 584

Iterations

Useful iterations: 1 (89.0ms)

Iter	Nodes	Cost
0	2965	6748
1	5002	6452

prune1.5s

Filtered

584 candidates to 322 candidates (55.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	584	0	584
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	584	4	588

Merged error: 0b

Counts

588 → 4

regimes146.0ms

Accuracy

45.6% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 1.4b

bsearch115.0ms

Steps

Iters	Range		Point
9	1.1276466422029764e-217	6.232360860163569e-211	1.9897176974016923e-212
8	-5.256181592403118e-33	-1.7740521652555413e-36	-1.6662664711442952e-34

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	33	14
1	33	14

end0.0ms

sample551.0ms

Algorithm

intervals

Results

290.0ms	8708×	body	80	valid
0.0ms	1×	body	2560	valid
0.0ms	1×	body	640	valid