Details

sample25.0ms

Algorithm

intervals

Results

8.0ms	252×	body	80	valid
1.0ms	13×	body	640	valid
1.0ms	16×	body	320	valid
1.0ms	8×	body	1280	valid
1.0ms	12×	body	160	valid

simplify72.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	20	6
1	45	6
2	116	5
3	324	5
4	861	5
5	1907	5
6	4560	5
7	5001	5

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 10.9b

localize205.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- y x) (- a t))
14.1b	(fma (/ (- y x) (- a t)) (- z t) 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	(/ (- y x) (- a t))
0.0ms	(fma (/ (- y x) (- a t)) (- z t) x)

series132.0ms

Counts

2 → 6

Calls

2 calls:

48.0ms	(/ (- y x) (- a t))
84.0ms	(fma (/ (- y x) (- a t)) (- z t) x)

simplify60.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 2 (19.0ms)

Iter	Nodes	Cost
0	269	450
1	734	425
2	2488	423
3	5002	423

prune194.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 6.2b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- a t))
0.3b	(* (- y x) (/ 1 (- a t)))
14.1b	(fma (* (- y x) (/ 1 (- a t))) (- z t) x)

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

46×	`add-sqr-sqrt`
40×	`*-un-lft-identity`
32×	`times-frac`
23×	`add-cube-cbrt`
21×	`associate-r`
16×	`add-exp-log`
10×	`add-cbrt-cube`
8×	`distribute-lft-out--` `difference-of-squares`
6×	`pow1`
5×	`associate-l` `associate-/r*`
4×	`flip3--` `div-exp` `prod-exp` `associate-/r/` `flip--`
3×	`expm1-log1p-u` `log1p-expm1-u` `associate-/l*` `add-log-exp` `unswap-sqr`
2×	`cbrt-undiv` `frac-times` `rec-exp` `1-exp` `associate-*l/` `cbrt-unprod` `div-inv`
1×	`pow-flip` `frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `un-div-inv` `-commutative` `fma-udef` `inv-pow`

Counts

3 → 105

Calls

3 calls:

8.0ms	(/ 1 (- a t))
24.0ms	(* (- y x) (/ 1 (- a t)))
0.0ms	(fma (* (- y x) (/ 1 (- a t))) (- z t) x)

series161.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(/ 1 (- a t))
47.0ms	(* (- y x) (/ 1 (- a t)))
80.0ms	(fma (* (- y x) (/ 1 (- a t))) (- z t) x)

simplify39.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	351	602
1	1495	525
2	5001	481

prune243.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 6.2b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- y x) (- a t))
14.1b	(fma (* 1 (/ (- y x) (- a t))) (- z t) x)

rewrite14.0ms

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

series128.0ms

Counts

2 → 6

Calls

2 calls:

47.0ms	(/ (- y x) (- a t))
81.0ms	(fma (* 1 (/ (- y x) (- a t))) (- z t) x)

simplify62.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 3 (56.0ms)

Iter	Nodes	Cost
0	273	462
1	799	434
2	2926	432
3	5002	431

prune201.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 6.2b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a t) (- y x))
0.2b	(/ 1 (/ (- a t) (- y x)))
14.1b	(fma (/ 1 (/ (- a t) (- y x))) (- z t) x)

rewrite43.0ms

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	(/ (- a t) (- y x))
15.0ms	(/ 1 (/ (- a t) (- y x)))
0.0ms	(fma (/ 1 (/ (- a t) (- y x))) (- z t) x)

series390.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(/ (- a t) (- y x))
223.0ms	(/ 1 (/ (- a t) (- y x)))
120.0ms	(fma (/ 1 (/ (- a t) (- y x))) (- z t) x)

simplify69.0ms

Algorithm

egg-herbie

Counts

223 → 223

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	633	1907
1	2810	1722
2	5002	1551

prune341.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 6.2b

regimes362.0ms

Accuracy

48% (4.3b remaining)

Error of 11.0b against oracle of 6.7b and baseline of 15.0b

bsearch2.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	37
1	34	37

end0.0ms

sample672.0ms

Algorithm

intervals

Results

243.0ms	7772×	body	80	valid
58.0ms	494×	body	640	valid
42.0ms	255×	body	1280	valid
36.0ms	426×	body	320	valid
18.0ms	269×	body	160	valid
2.0ms	12×	body	2560	valid