Details

sample24.0ms

Algorithm

intervals

Results

11.0ms

286×

body

valid

simplify83.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (4.0ms)

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: 1.1b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z t) (- z a))
1.0b	(fma y (/ (- z t) (- z a)) x)

rewrite13.0ms

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:

10.0ms	(/ (- z t) (- z a))
1.0ms	(fma y (/ (- z t) (- z a)) x)

series125.0ms

Counts

2 → 6

Calls

2 calls:

47.0ms	(/ (- z t) (- z a))
78.0ms	(fma y (/ (- z t) (- z a)) x)

simplify63.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 1 (8.0ms)

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

prune197.0ms

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))
0.2b	(/ 1 (/ (- z a) (- z t)))
1.0b	(fma y (/ 1 (/ (- z a) (- z t))) x)

rewrite34.0ms

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:

9.0ms	(/ (- z a) (- z t))
13.0ms	(/ 1 (/ (- z a) (- z t)))
1.0ms	(fma y (/ 1 (/ (- z a) (- z t))) x)

series245.0ms

Counts

3 → 9

Calls

3 calls:

50.0ms	(/ (- z a) (- z t))
103.0ms	(/ 1 (/ (- z a) (- z t)))
91.0ms	(fma y (/ 1 (/ (- z a) (- z t))) x)

simplify75.0ms

Algorithm

egg-herbie

Counts

223 → 223

Iterations

Useful iterations: 2 (57.0ms)

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

prune408.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.7b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ y (/ (- z a) (- z t))) x)
0.0b	(/ (- z a) (- z t))
1.1b	(/ y (/ (- z a) (- z t)))

rewrite88.0ms

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:

39.0ms	(+ (/ y (/ (- z a) (- z t))) x)
9.0ms	(/ (- z a) (- z t))
16.0ms	(/ y (/ (- z a) (- z t)))

series275.0ms

Counts

3 → 9

Calls

3 calls:

102.0ms	(+ (/ y (/ (- z a) (- z t))) x)
47.0ms	(/ (- z a) (- z t))
126.0ms	(/ y (/ (- z a) (- z t)))

simplify94.0ms

Algorithm

egg-herbie

Counts

319 → 319

Iterations

Useful iterations: 2 (71.0ms)

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

prune852.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ z (- z t)) (/ a (- z t)))
0.0b	(/ z (- z t))
0.2b	(/ 1 (- (/ z (- z t)) (/ a (- z t))))
1.0b	(fma y (/ 1 (- (/ z (- z t)) (/ a (- z t)))) x)

rewrite148.0ms

Algorithm

rewrite-expression-head

Rules

830×	`*-un-lft-identity`
804×	`times-frac`
780×	`add-sqr-sqrt`
441×	`prod-diff`
434×	`add-cube-cbrt`
193×	`distribute-lft-out--`
163×	`difference-of-squares`
112×	`associate-/r/`
56×	`flip3--` `flip--`
55×	`div-inv`
23×	`associate-/r*`
21×	`fma-neg`
15×	`distribute-rgt-out--`
10×	`add-exp-log`
8×	`add-cbrt-cube`
6×	`associate-/l*` `add-log-exp`
5×	`pow1`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`div-exp`
2×	`cbrt-undiv` `frac-2neg` `clear-num` `frac-sub` `sub-div`
1×	`sub-neg` `rec-exp` `pow-flip` `diff-log` `1-exp` `fma-udef` `inv-pow`

Counts

4 → 639

Calls

4 calls:

42.0ms	(- (/ z (- z t)) (/ a (- z t)))
6.0ms	(/ z (- z t))
34.0ms	(/ 1 (- (/ z (- z t)) (/ a (- z t))))
1.0ms	(fma y (/ 1 (- (/ z (- z t)) (/ a (- z t)))) x)

series352.0ms

Counts

4 → 12

Calls

4 calls:

122.0ms	(- (/ z (- z t)) (/ a (- z t)))
52.0ms	(/ z (- z t))
69.0ms	(/ 1 (- (/ z (- z t)) (/ a (- z t))))
109.0ms	(fma y (/ 1 (- (/ z (- z t)) (/ a (- z t)))) x)

simplify219.0ms

Algorithm

egg-herbie

Counts

651 → 651

Iterations

Useful iterations: 1 (32.0ms)

Iter	Nodes	Cost
0	1381	16521
1	4120	12196
2	5001	12196

prune1.4s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

regimes124.0ms

Accuracy

0% (1.1b remaining)

Error of 1.1b against oracle of 0.0b and baseline of 1.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	5
1	11	5

end0.0ms

sample532.0ms

Algorithm

intervals

Results

276.0ms	8706×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid