Details

sample21.0ms

Algorithm

intervals

Results

7.0ms	277×	body	80	valid
0.0ms	1×	body	640	valid

simplify45.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	5
1	34	5
2	55	5
3	93	5
4	149	5
5	184	5
6	202	5
7	229	5
8	280	5
9	372	5
10	465	5
11	768	5
12	876	5
13	878	5
14	878	5

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.6b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z t) (- a t))
1.3b	(* y (/ (- z t) (- a t)))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

75×	`add-sqr-sqrt`
70×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-r`
26×	`add-cube-cbrt`
22×	`distribute-lft-out--` `difference-of-squares`
9×	`add-exp-log` `add-cbrt-cube`
5×	`associate-/r` `associate-/l`
4×	`pow1` `associate-/r/`
3×	`flip3--` `associate-l` `flip--`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `add-log-exp` `unswap-sqr`
1×	`frac-2neg` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `-commutative`

Counts

2 → 102

Calls

2 calls:

22.0ms	(/ (- z t) (- a t))
46.0ms	(* y (/ (- z t) (- a t)))

series105.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(/ (- z t) (- a t))
60.0ms	(* y (/ (- z t) (- a t)))

simplify61.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	349	647
1	1396	606
2	5001	606

prune264.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a t) (- z t))
0.4b	(/ 1 (/ (- a t) (- z t)))
1.3b	(* y (/ 1 (/ (- a t) (- z t))))

rewrite154.0ms

Algorithm

rewrite-expression-head

Rules

392×	`times-frac`
335×	`add-sqr-sqrt`
323×	`*-un-lft-identity`
157×	`add-cube-cbrt`
98×	`associate-r`
82×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
35×	`add-exp-log`
19×	`add-cbrt-cube`
18×	`associate-/r/`
15×	`div-exp`
10×	`div-inv`
9×	`flip3--` `flip--`
8×	`associate-/l*`
7×	`cbrt-undiv` `prod-exp`
6×	`pow1`
5×	`unswap-sqr`
4×	`rec-exp` `1-exp`
3×	`associate-l` `cbrt-unprod` `add-log-exp`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`pow-flip` `div-sub` `associate-r/` `pow-prod-down` `un-div-inv` `-commutative` `inv-pow`

Counts

3 → 327

Calls

3 calls:

22.0ms	(/ (- a t) (- z t))
27.0ms	(/ 1 (/ (- a t) (- z t)))
79.0ms	(* y (/ 1 (/ (- a t) (- z t))))

series300.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(/ (- a t) (- z t))
122.0ms	(/ 1 (/ (- a t) (- z t)))
135.0ms	(* y (/ 1 (/ (- a t) (- z t))))

simplify98.0ms

Algorithm

egg-herbie

Counts

336 → 336

Iterations

Useful iterations: 2 (69.0ms)

Iter	Nodes	Cost
0	886	2724
1	4539	2439
2	5001	2153

prune618.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- a t) (- z t))
1.5b	(/ y (/ (- a t) (- z t)))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

218×	`times-frac`
194×	`add-sqr-sqrt` `*-un-lft-identity`
90×	`add-cube-cbrt`
52×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
11×	`associate-/r/`
9×	`add-exp-log` `add-cbrt-cube`
8×	`associate-/l*`
6×	`flip3--` `flip--` `div-inv`
4×	`cbrt-undiv` `div-exp`
2×	`pow1` `frac-2neg` `clear-num` `associate-/l/` `add-log-exp`
1×	`div-sub`

Counts

2 → 194

Calls

2 calls:

25.0ms	(/ (- a t) (- z t))
25.0ms	(/ y (/ (- a t) (- z t)))

series188.0ms

Counts

2 → 6

Calls

2 calls:

44.0ms	(/ (- a t) (- z t))
144.0ms	(/ y (/ (- a t) (- z t)))

simplify73.0ms

Algorithm

egg-herbie

Counts

200 → 200

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	633	1784
1	2862	1733
2	5001	1730

prune536.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a t) (- z t))
0.2b	(/ 1 (/ (/ (- a t) (- z t)) y))
1.5b	(/ (/ (- a t) (- z t)) y)

rewrite160.0ms

Algorithm

rewrite-expression-head

Rules

1181×	`times-frac`
793×	`add-sqr-sqrt` `*-un-lft-identity`
449×	`add-cube-cbrt`
172×	`distribute-lft-out--` `difference-of-squares`
105×	`associate-/r*`
39×	`associate-/l*`
35×	`associate-/r/`
31×	`add-exp-log`
23×	`div-inv`
19×	`div-exp` `add-cbrt-cube`
18×	`flip3--` `flip--`
10×	`cbrt-undiv`
4×	`pow1`
3×	`rec-exp` `frac-2neg` `1-exp` `div-sub` `clear-num` `associate-/l/` `add-log-exp`
1×	`pow-flip` `inv-pow`

Counts

3 → 611

Calls

3 calls:

22.0ms	(/ (- a t) (- z t))
47.0ms	(/ 1 (/ (/ (- a t) (- z t)) y))
34.0ms	(/ (/ (- a t) (- z t)) y)

series275.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(/ (- a t) (- z t))
150.0ms	(/ 1 (/ (/ (- a t) (- z t)) y))
81.0ms	(/ (/ (- a t) (- z t)) y)

simplify121.0ms

Algorithm

egg-herbie

Counts

620 → 620

Iterations

Useful iterations: 1 (39.0ms)

Iter	Nodes	Cost
0	1760	7383
1	5001	6711

prune1.5s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

regimes137.0ms

Accuracy

0% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 1.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	6
1	16	6

end0.0ms

sample587.0ms

Algorithm

intervals

Results

238.0ms	8742×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	160	valid

Iter	Nodes	Cost
0	20	5
1	34	5
2	55	5
3	93	5
4	149	5
5	184	5
6	202	5
7	229	5
8	280	5
9	372	5
10	465	5
11	768	5
12	876	5
13	878	5
14	878	5

Iter	Nodes	Cost
0	20	5
1	34	5
2	55	5
3	93	5
4	149	5
5	184	5
6	202	5
7	229	5
8	280	5
9	372	5
10	465	5
11	768	5
12	876	5
13	878	5
14	878	5

Iter	Nodes	Cost
0	20	5
1	34	5
2	55	5
3	93	5
4	149	5
5	184	5
6	202	5
7	229	5
8	280	5
9	372	5
10	465	5
11	768	5
12	876	5
13	878	5
14	878	5