Details

sample22.0ms

Algorithm

intervals

Results

9.0ms

283×

body

valid

simplify82.0ms

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.6b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y (/ (- z t) (- a t))))
0.0b	(/ (- z t) (- a t))
2.7b	(* y (/ (- z t) (- a t)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 122

Calls

3 calls:

4.0ms	(+ x (* y (/ (- z t) (- a t))))
10.0ms	(/ (- z t) (- a t))
16.0ms	(* y (/ (- z t) (- a t)))

series220.0ms

Counts

3 → 9

Calls

3 calls:

89.0ms	(+ x (* y (/ (- z t) (- a t))))
55.0ms	(/ (- z t) (- a t))
75.0ms	(* y (/ (- z t) (- a t)))

simplify62.0ms

Algorithm

egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 1 (16.0ms)

Iter	Nodes	Cost
0	433	776
1	1705	730
2	5002	730

prune352.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* y (/ 1 (/ (- a t) (- z t)))))
0.0b	(/ (- a t) (- z t))
0.3b	(/ 1 (/ (- a t) (- z t)))
2.7b	(* y (/ 1 (/ (- a t) (- z t))))

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

392×	`times-frac`
337×	`add-sqr-sqrt`
325×	`*-un-lft-identity`
159×	`add-cube-cbrt`
98×	`associate-r`
82×	`distribute-lft-out--` `difference-of-squares`
36×	`add-exp-log` `associate-/r*`
20×	`add-cbrt-cube`
18×	`associate-/r/`
15×	`div-exp`
10×	`div-inv`
9×	`flip3--` `flip--`
8×	`associate-/l*`
7×	`pow1` `cbrt-undiv` `prod-exp`
6×	`add-log-exp`
5×	`unswap-sqr`
4×	`expm1-log1p-u` `rec-exp` `1-exp` `log1p-expm1-u`
3×	`fma-def` `associate-l` `cbrt-unprod`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`+-commutative` `pow-flip` `flip3-+` `div-sub` `associate-r/` `pow-prod-down` `sum-log` `un-div-inv` `-commutative` `flip-+` `inv-pow`

Counts

4 → 349

Calls

4 calls:

3.0ms	(+ x (* y (/ 1 (/ (- a t) (- z t)))))
10.0ms	(/ (- a t) (- z t))
15.0ms	(/ 1 (/ (- a t) (- z t)))
35.0ms	(* y (/ 1 (/ (- a t) (- z t))))

series499.0ms

Counts

4 → 12

Calls

4 calls:

127.0ms	(+ x (* y (/ 1 (/ (- a t) (- z t)))))
58.0ms	(/ (- a t) (- z t))
152.0ms	(/ 1 (/ (- a t) (- z t)))
162.0ms	(* y (/ 1 (/ (- a t) (- z t))))

simplify122.0ms

Algorithm

egg-herbie

Counts

361 → 361

Iterations

Useful iterations: 1 (32.0ms)

Iter	Nodes	Cost
0	966	2881
1	4813	2588
2	5001	2588

prune885.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* 1 (/ y (/ (- a t) (- z t)))))
0.0b	(/ (- a t) (- z t))
2.6b	(/ y (/ (- a t) (- z t)))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

218×	`times-frac`
197×	`*-un-lft-identity`
196×	`add-sqr-sqrt`
92×	`add-cube-cbrt`
52×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
11×	`associate-/r/`
10×	`add-exp-log` `add-cbrt-cube`
8×	`associate-/l*`
6×	`flip3--` `flip--` `div-inv`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`pow1` `expm1-log1p-u` `fma-def` `log1p-expm1-u`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`+-commutative` `flip3-+` `div-sub` `sum-log` `flip-+` `distribute-lft-out`

Counts

3 → 215

Calls

3 calls:

3.0ms	(+ x (* 1 (/ y (/ (- a t) (- z t)))))
10.0ms	(/ (- a t) (- z t))
14.0ms	(/ y (/ (- a t) (- z t)))

series348.0ms

Counts

3 → 9

Calls

3 calls:

126.0ms	(+ x (* 1 (/ y (/ (- a t) (- z t)))))
58.0ms	(/ (- a t) (- z t))
164.0ms	(/ y (/ (- a t) (- z t)))

simplify100.0ms

Algorithm

egg-herbie

Counts

224 → 224

Iterations

Useful iterations: 2 (79.0ms)

Iter	Nodes	Cost
0	728	1934
1	3251	1866
2	5001	1862

prune630.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ y (- a t))
2.2b	(fma (/ y (- a t)) (- z t) x)

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt` `*-un-lft-identity`
15×	`times-frac`
12×	`add-cube-cbrt`
5×	`associate-/r*`
4×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out--` `difference-of-squares`
3×	`associate-/l*`
2×	`pow1` `expm1-log1p-u` `associate-/r/` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `flip3--` `frac-2neg` `div-exp` `clear-num` `flip--` `fma-udef` `div-inv`

Counts

2 → 49

Calls

2 calls:

6.0ms	(/ y (- a t))
1.0ms	(fma (/ y (- a t)) (- z t) x)

series225.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(/ y (- a t))
195.0ms	(fma (/ y (- a t)) (- z t) x)

simplify109.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 3 (39.0ms)

Iter	Nodes	Cost
0	166	265
1	444	246
2	1278	244
3	4359	243
4	5001	243

prune168.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes190.0ms

Accuracy

0% (1.3b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 1.3b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	5
1	18	5
2	18	5

end0.0ms

sample554.0ms

Algorithm

intervals

Results

278.0ms	8721×	body	80	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	160	valid