Details

sample34.0ms

Algorithm

intervals

Results

15.0ms	256×	body	80	valid
2.0ms	15×	body	640	valid
2.0ms	14×	body	320	valid
1.0ms	4×	body	1280	valid
1.0ms	6×	body	160	valid
0.0ms	1×	body	2560	valid

simplify76.0ms

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: 9.5b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- y x) (- a t))
14.7b	(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)

series136.0ms

Counts

2 → 6

Calls

2 calls:

52.0ms	(/ (- y x) (- a t))
84.0ms	(fma (/ (- y x) (- a t)) (- z t) x)

simplify56.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 2 (18.0ms)

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

prune194.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 7.2b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- y x) (- a t))
3.5b	(+ (* (/ (- y x) (- a t)) (- z t)) x)
7.0b	(* (/ (- y x) (- a t)) (- z t))

rewrite69.0ms

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:

14.0ms	(/ (- y x) (- a t))
14.0ms	(+ (* (/ (- y x) (- a t)) (- z t)) x)
34.0ms	(* (/ (- y x) (- a t)) (- z t))

series389.0ms

Counts

3 → 9

Calls

3 calls:

48.0ms	(/ (- y x) (- a t))
138.0ms	(+ (* (/ (- y x) (- a t)) (- z t)) x)
202.0ms	(* (/ (- y x) (- a t)) (- z t))

simplify66.0ms

Algorithm

egg-herbie

Counts

179 → 179

Iterations

Useful iterations: 2 (52.0ms)

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

prune424.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 7.2b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- a t))
0.2b	(* (- y x) (/ 1 (- a t)))
14.6b	(fma (* (- y x) (/ 1 (- a t))) (- z t) x)

rewrite36.0ms

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:

5.0ms	(/ 1 (- a t))
27.0ms	(* (- y x) (/ 1 (- a t)))
0.0ms	(fma (* (- y x) (/ 1 (- a t))) (- z t) x)

series175.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(/ 1 (- a t))
50.0ms	(* (- y x) (/ 1 (- a t)))
83.0ms	(fma (* (- y x) (/ 1 (- a t))) (- z t) x)

simplify45.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (37.0ms)

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

prune282.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 7.2b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (- a t))
0.2b	(* (- y x) (/ 1 (- a t)))
4.5b	(+ (* (* (- y x) (/ 1 (- a t))) (- z t)) x)
7.0b	(* (* (- y x) (/ 1 (- a t))) (- z t))

rewrite113.0ms

Algorithm

rewrite-expression-head

Rules

74×	`add-sqr-sqrt`
68×	`*-un-lft-identity`
49×	`add-cube-cbrt`
36×	`prod-diff`
32×	`add-exp-log` `times-frac`
26×	`associate-r`
22×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in`
20×	`frac-times` `add-cbrt-cube`
17×	`flip3--` `flip--`
14×	`associate-*l/`
13×	`prod-exp`
12×	`pow1`
9×	`distribute-lft-out--` `difference-of-squares`
7×	`cbrt-unprod`
6×	`associate-r/` `div-exp` `associate-l*` `add-log-exp`
5×	`associate-/r*`
4×	`expm1-log1p-u` `sub-neg` `pow-prod-down` `associate-/r/` `un-div-inv` `log1p-expm1-u`
3×	`cbrt-undiv` `rec-exp` `1-exp` `associate-/l*` `unswap-sqr`
2×	`*-commutative` `div-inv`
1×	`+-commutative` `pow-flip` `fma-def` `frac-2neg` `flip3-+` `clear-num` `sum-log` `flip-+` `inv-pow`

Counts

4 → 199

Calls

4 calls:

5.0ms	(/ 1 (- a t))
24.0ms	(* (- y x) (/ 1 (- a t)))
38.0ms	(+ (* (* (- y x) (/ 1 (- a t))) (- z t)) x)
38.0ms	(* (* (- y x) (/ 1 (- a t))) (- z t))

series609.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(/ 1 (- a t))
51.0ms	(* (- y x) (/ 1 (- a t)))
137.0ms	(+ (* (* (- y x) (/ 1 (- a t))) (- z t)) x)
385.0ms	(* (* (- y x) (/ 1 (- a t))) (- z t))

simplify105.0ms

Algorithm

egg-herbie

Counts

211 → 211

Iterations

Useful iterations: 2 (85.0ms)

Iter	Nodes	Cost
0	819	1733
1	4122	1342
2	5001	1338

prune490.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 7.2b

regimes285.0ms

Accuracy

0% (4.9b remaining)

Error of 11.3b against oracle of 6.4b and baseline of 11.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	6
1	13	6

end0.0ms

sample935.0ms

Algorithm

intervals

Results

458.0ms	7841×	body	80	valid
74.0ms	464×	body	640	valid
49.0ms	391×	body	320	valid
48.0ms	254×	body	1280	valid
24.0ms	268×	body	160	valid
4.0ms	16×	body	2560	valid