Details

sample21.0ms

Algorithm

intervals

Results

8.0ms

275×

body

valid

simplify74.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	21	5
1	37	4
2	60	4
3	104	4
4	174	4
5	237	4
6	266	4
7	312	4
8	375	4
9	507	4
10	666	4
11	1117	4
12	1341	4
13	1513	4
14	1535	4
15	1535	4

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.3b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y (/ (- z t) (- z a))))
0.0b	(/ (- z t) (- z a))
1.9b	(* y (/ (- z t) (- z a)))

rewrite47.0ms

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:

5.0ms	(+ x (* y (/ (- z t) (- z a))))
12.0ms	(/ (- z t) (- z a))
24.0ms	(* y (/ (- z t) (- z a)))

series190.0ms

Counts

3 → 9

Calls

3 calls:

78.0ms	(+ x (* y (/ (- z t) (- z a))))
48.0ms	(/ (- z t) (- z a))
63.0ms	(* y (/ (- z t) (- z a)))

simplify53.0ms

Algorithm

egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	435	776
1	1703	730
2	5001	730

prune327.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* y (/ 1 (/ (- z a) (- z t)))))
0.0b	(/ (- z a) (- z t))
0.3b	(/ 1 (/ (- z a) (- z t)))
1.9b	(* y (/ 1 (/ (- z a) (- z t))))

rewrite106.0ms

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:

2.0ms	(+ x (* y (/ 1 (/ (- z a) (- z t)))))
12.0ms	(/ (- z a) (- z t))
17.0ms	(/ 1 (/ (- z a) (- z t)))
50.0ms	(* y (/ 1 (/ (- z a) (- z t))))

series348.0ms

Counts

4 → 12

Calls

4 calls:

85.0ms	(+ x (* y (/ 1 (/ (- z a) (- z t)))))
44.0ms	(/ (- z a) (- z t))
98.0ms	(/ 1 (/ (- z a) (- z t)))
122.0ms	(* y (/ 1 (/ (- z a) (- z t))))

simplify115.0ms

Algorithm

egg-herbie

Counts

361 → 361

Iterations

Useful iterations: 1 (28.0ms)

Iter	Nodes	Cost
0	970	2876
1	4831	2583
2	5001	2583

prune853.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ y (/ (- z a) (- z t))))
0.0b	(/ (- z a) (- z t))
1.8b	(/ y (/ (- z a) (- z t)))

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

218×	`times-frac`
198×	`*-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:

45.0ms	(+ x (/ y (/ (- z a) (- z t))))
12.0ms	(/ (- z a) (- z t))
14.0ms	(/ y (/ (- z a) (- z t)))

series249.0ms

Counts

3 → 9

Calls

3 calls:

86.0ms	(+ x (/ y (/ (- z a) (- z t))))
43.0ms	(/ (- z a) (- z t))
120.0ms	(/ y (/ (- z a) (- z t)))

simplify90.0ms

Algorithm

egg-herbie

Counts

224 → 224

Iterations

Useful iterations: 2 (69.0ms)

Iter	Nodes	Cost
0	716	1914
1	3114	1855
2	5001	1853

prune597.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ 1 (/ (/ (- z a) (- z t)) y)))
0.0b	(/ (- z a) (- z t))
0.5b	(/ 1 (/ (/ (- z a) (- z t)) y))
1.7b	(/ (/ (- z a) (- z t)) y)

rewrite243.0ms

Algorithm

rewrite-expression-head

Rules

1181×	`times-frac`
798×	`*-un-lft-identity`
795×	`add-sqr-sqrt`
451×	`add-cube-cbrt`
172×	`distribute-lft-out--` `difference-of-squares`
105×	`associate-/r*`
39×	`associate-/l*`
35×	`associate-/r/`
32×	`add-exp-log`
24×	`div-inv`
20×	`add-cbrt-cube`
19×	`div-exp`
18×	`flip3--` `flip--`
10×	`cbrt-undiv`
6×	`add-log-exp`
5×	`pow1`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`rec-exp` `fma-def` `frac-2neg` `1-exp` `div-sub` `clear-num` `associate-/l/`
2×	`distribute-lft-out`
1×	`+-commutative` `pow-flip` `flip3-+` `sum-log` `flip-+` `inv-pow`

Counts

4 → 635

Calls

4 calls:

112.0ms	(+ x (/ 1 (/ (/ (- z a) (- z t)) y)))
12.0ms	(/ (- z a) (- z t))
34.0ms	(/ 1 (/ (/ (- z a) (- z t)) y))
20.0ms	(/ (/ (- z a) (- z t)) y)

series428.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(+ x (/ 1 (/ (/ (- z a) (- z t)) y)))
51.0ms	(/ (- z a) (- z t))
209.0ms	(/ 1 (/ (/ (- z a) (- z t)) y))
90.0ms	(/ (/ (- z a) (- z t)) y)

simplify114.0ms

Algorithm

egg-herbie

Counts

647 → 647

Iterations

Useful iterations: 1 (42.0ms)

Iter	Nodes	Cost
0	1845	7531
1	5001	6315

prune1.2s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes131.0ms

Accuracy

0% (1.3b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	5
1	11	5

end0.0ms

sample539.0ms

Algorithm

intervals

Results

272.0ms	8747×	body	80	valid
0.0ms	2×	body	1280	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid