Details

sample26.0ms

Algorithm

intervals

Results

14.0ms

282×

body

valid

simplify68.0ms

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.1b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z t) (- z a))
2.0b	(fma y (/ (- z t) (- z a)) x)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 64

Calls

2 calls:

12.0ms	(/ (- z t) (- z a))
0.0ms	(fma y (/ (- z t) (- z a)) x)

series114.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(/ (- z t) (- z a))
72.0ms	(fma y (/ (- z t) (- z a)) x)

simplify57.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	260	433
1	705	410
2	2411	410
3	5001	410

prune193.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.7b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- z a) (- z t))
0.1b	(/ 1 (/ (- z a) (- z t)))
2.0b	(fma y (/ 1 (/ (- z a) (- z t))) x)

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

218×	`times-frac`
195×	`add-sqr-sqrt` `*-un-lft-identity`
91×	`add-cube-cbrt`
52×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
16×	`add-exp-log`
11×	`associate-/r/`
10×	`add-cbrt-cube`
8×	`div-exp` `associate-/l*`
6×	`flip3--` `flip--` `div-inv`
4×	`pow1` `cbrt-undiv`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `associate-/l/`
1×	`pow-flip` `div-sub` `fma-udef` `inv-pow`

Counts

3 → 214

Calls

3 calls:

12.0ms	(/ (- z a) (- z t))
14.0ms	(/ 1 (/ (- z a) (- z t)))
0.0ms	(fma y (/ 1 (/ (- z a) (- z t))) x)

series220.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(/ (- z a) (- z t))
93.0ms	(/ 1 (/ (- z a) (- z t)))
82.0ms	(fma y (/ 1 (/ (- z a) (- z t))) x)

simplify70.0ms

Algorithm

egg-herbie

Counts

223 → 223

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	624	1890
1	2773	1707
2	5003	1538

prune377.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.5b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ y (/ (- z a) (- z t))) x)
0.0b	(/ (- z a) (- z t))
2.0b	(/ y (/ (- z a) (- z t)))

rewrite139.0ms

Algorithm

rewrite-expression-head

Rules

386×	`times-frac`
322×	`*-un-lft-identity`
320×	`add-sqr-sqrt`
156×	`add-cube-cbrt`
98×	`fma-def`
82×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
18×	`associate-/r/`
10×	`add-exp-log` `add-cbrt-cube` `div-inv`
9×	`flip3--` `flip--`
8×	`associate-/l*`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`pow1` `expm1-log1p-u` `log1p-expm1-u`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`+-commutative` `flip3-+` `div-sub` `sum-log` `flip-+` `distribute-lft-out`

Counts

3 → 310

Calls

3 calls:

90.0ms	(+ (/ y (/ (- z a) (- z t))) x)
15.0ms	(/ (- z a) (- z t))
14.0ms	(/ y (/ (- z a) (- z t)))

series254.0ms

Counts

3 → 9

Calls

3 calls:

92.0ms	(+ (/ y (/ (- z a) (- z t))) x)
42.0ms	(/ (- z a) (- z t))
119.0ms	(/ y (/ (- z a) (- z t)))

simplify87.0ms

Algorithm

egg-herbie

Counts

319 → 319

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	716	1918
1	3104	1859
2	5001	1857

prune825.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (/ 1 (/ (/ (- z a) (- z t)) y)) x)
0.0b	(/ (- z a) (- z t))
0.3b	(/ 1 (/ (/ (- z a) (- z t)) y))
2.0b	(/ (/ (- z a) (- z t)) y)

rewrite386.0ms

Algorithm

rewrite-expression-head

Rules

1976×	`times-frac`
1270×	`*-un-lft-identity`
1267×	`add-sqr-sqrt`
743×	`add-cube-cbrt`
296×	`fma-def`
262×	`distribute-lft-out--` `difference-of-squares`
105×	`associate-/r*`
54×	`associate-/r/`
39×	`associate-/l*`
37×	`div-inv`
32×	`add-exp-log`
27×	`flip3--` `flip--`
20×	`add-cbrt-cube`
19×	`div-exp`
10×	`cbrt-undiv`
6×	`add-log-exp`
5×	`pow1`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`rec-exp` `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 → 928

Calls

4 calls:

228.0ms	(+ (/ 1 (/ (/ (- z a) (- z t)) y)) x)
12.0ms	(/ (- z a) (- z t))
30.0ms	(/ 1 (/ (/ (- z a) (- z t)) y))
23.0ms	(/ (/ (- z a) (- z t)) y)

series426.0ms

Counts

4 → 12

Calls

4 calls:

105.0ms	(+ (/ 1 (/ (/ (- z a) (- z t)) y)) x)
42.0ms	(/ (- z a) (- z t))
196.0ms	(/ 1 (/ (/ (- z a) (- z t)) y))
84.0ms	(/ (/ (- z a) (- z t)) y)

simplify101.0ms

Algorithm

egg-herbie

Counts

940 → 940

Iterations

Useful iterations: 1 (35.0ms)

Iter	Nodes	Cost
0	1845	7536
1	5001	6320

prune2.1s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes170.0ms

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	11	5
1	11	5

end0.0ms

sample707.0ms

Algorithm

intervals

Results

447.0ms	8733×	body	80	valid
0.0ms	1×	body	640	valid