Details

sample27.0ms

Algorithm

intervals

Results

8.0ms	245×	body	80	valid
2.0ms	17×	body	640	valid
2.0ms	10×	body	1280	valid
1.0ms	12×	body	320	valid
0.0ms	5×	body	160	valid
0.0ms	1×	body	2560	valid

simplify93.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (8.0ms)

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

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 10.5b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- y x) (- a t))
14.2b	(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)

series144.0ms

Counts

2 → 6

Calls

2 calls:

53.0ms	(/ (- y x) (- a t))
92.0ms	(fma (/ (- y x) (- a t)) (- z t) x)

simplify69.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 2 (24.0ms)

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

prune228.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 6.9b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- y x) (- a t))
2.2b	(+ (* (/ (- y x) (- a t)) (- z t)) x)
4.5b	(* (/ (- y x) (- a t)) (- z t))

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 170

Calls

3 calls:

12.0ms	(/ (- y x) (- a t))
15.0ms	(+ (* (/ (- y x) (- a t)) (- z t)) x)
39.0ms	(* (/ (- y x) (- a t)) (- z t))

series436.0ms

Counts

3 → 9

Calls

3 calls:

52.0ms	(/ (- y x) (- a t))
150.0ms	(+ (* (/ (- y x) (- a t)) (- z t)) x)
234.0ms	(* (/ (- y x) (- a t)) (- z t))

simplify82.0ms

Algorithm

egg-herbie

Counts

179 → 179

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	684	1508
1	2581	1283
2	5003	1263

prune512.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 6.8b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- z t) (- a t))
1.4b	(+ (* (- y x) (/ (- z t) (- a t))) x)
2.5b	(* (- y x) (/ (- z t) (- a t)))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 126

Calls

3 calls:

12.0ms	(/ (- z t) (- a t))
11.0ms	(+ (* (- y x) (/ (- z t) (- a t))) x)
33.0ms	(* (- y x) (/ (- z t) (- a t)))

series384.0ms

Counts

3 → 9

Calls

3 calls:

62.0ms	(/ (- z t) (- a t))
183.0ms	(+ (* (- y x) (/ (- z t) (- a t))) x)
139.0ms	(* (- y x) (/ (- z t) (- a t)))

simplify71.0ms

Algorithm

egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	491	904
1	2052	854
2	5003	852

prune409.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 3.1b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a t) (- y x))
0.6b	(/ 1 (/ (- a t) (- y x)))
14.2b	(fma (/ 1 (/ (- a t) (- y x))) (- z t) x)

rewrite48.0ms

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:

17.0ms	(/ (- a t) (- y x))
15.0ms	(/ 1 (/ (- a t) (- y x)))
0.0ms	(fma (/ 1 (/ (- a t) (- y x))) (- z t) x)

series486.0ms

Counts

3 → 9

Calls

3 calls:

62.0ms	(/ (- a t) (- y x))
276.0ms	(/ 1 (/ (- a t) (- y x)))
148.0ms	(fma (/ 1 (/ (- a t) (- y x))) (- z t) x)

simplify97.0ms

Algorithm

egg-herbie

Counts

223 → 223

Iterations

Useful iterations: 2 (69.0ms)

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

prune460.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 3.1b

regimes339.0ms

Accuracy

41.7% (4.6b remaining)

Error of 8.7b against oracle of 4.1b and baseline of 12.0b

bsearch2.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	33	23
1	33	23

end0.0ms

sample738.0ms

Algorithm

intervals

Results

272.0ms	7717×	body	80	valid
64.0ms	488×	body	640	valid
45.0ms	287×	body	1280	valid
44.0ms	429×	body	320	valid
17.0ms	266×	body	160	valid
3.0ms	14×	body	2560	valid