Details

sample15.0ms

Algorithm

intervals

Results

4.0ms	60×	body	640	valid
3.0ms	134×	body	80	valid
2.0ms	38×	body	320	valid
1.0ms	24×	body	160	valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	4
1	12	4
2	12	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.6b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1.0 (+ x 1.0))
3.3b	(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

40×	`*-un-lft-identity`
28×	`times-frac`
27×	`add-sqr-sqrt`
15×	`add-cube-cbrt`
8×	`distribute-lft-out--`
7×	`distribute-lft-out`
4×	`add-exp-log` `associate-/r*` `add-cbrt-cube` `add-log-exp` `difference-of-squares`
3×	`div-inv` `associate-/l*`
2×	`pow1` `associate-/r/`
1×	`cbrt-undiv` `sub-neg` `flip3--` `frac-2neg` `flip3-+` `diff-log` `div-exp` `clear-num` `frac-sub` `flip--` `flip-+`

Counts

2 → 58

Calls

2 calls:

5.0ms	(/ 1.0 (+ x 1.0))
39.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

series83.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(/ 1.0 (+ x 1.0))
55.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

simplify153.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 2 (24.0ms)

Iter	Nodes	Cost
0	266	392
1	898	369
2	4185	367
3	5001	367

prune114.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.6b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (+ x 1.0) x)
0.0b	(/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))
2.2b	(- x (+ x 1.0))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-exp-log` `add-cbrt-cube`
12×	`*-un-lft-identity`
9×	`add-sqr-sqrt`
8×	`add-log-exp`
5×	`pow1` `add-cube-cbrt` `prod-exp` `cbrt-unprod`
4×	`cbrt-undiv` `div-exp` `associate-l` `associate-*l/`
3×	`associate-r`
2×	`flip3--` `flip3-+` `diff-log` `associate-*r/` `associate-/r/` `flip--` `flip-+` `associate-/l/` `distribute-lft-out` `distribute-lft-out--`
1×	`sub-neg` `frac-2neg` `times-frac` `pow-prod-down` `clear-num` `associate-/r` `sum-log` `-commutative` `div-inv` `associate-/l*` `associate--r+` `difference-of-squares` `unswap-sqr`

Counts

3 → 63

Calls

3 calls:

10.0ms	(* (+ x 1.0) x)
16.0ms	(/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))
7.0ms	(- x (+ x 1.0))

series84.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(* (+ x 1.0) x)
34.0ms	(/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))
7.0ms	(- x (+ x 1.0))

simplify55.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	345	395
1	2045	325
2	5003	316

prune105.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1.0 (/ (+ x 1.0) (- 0 1.0)))
0.0b	(/ (/ 1.0 (/ (+ x 1.0) (- 0 1.0))) x)

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

959×	`times-frac`
669×	`*-un-lft-identity`
509×	`add-sqr-sqrt`
381×	`add-cube-cbrt`
86×	`associate-/l*`
80×	`distribute-lft-out`
64×	`distribute-lft-out--` `difference-of-squares`
37×	`associate-/r/`
29×	`associate-/r*`
22×	`div-inv`
16×	`add-exp-log` `flip3--` `add-cbrt-cube` `flip--`
9×	`cbrt-undiv` `div-exp`
2×	`pow1` `frac-2neg` `clear-num` `add-log-exp`
1×	`associate-/l/`

Counts

2 → 474

Calls

2 calls:

13.0ms	(/ 1.0 (/ (+ x 1.0) (- 0 1.0)))
36.0ms	(/ (/ 1.0 (/ (+ x 1.0) (- 0 1.0))) x)

series57.0ms

Counts

2 → 6

Calls

2 calls:

23.0ms	(/ 1.0 (/ (+ x 1.0) (- 0 1.0)))
34.0ms	(/ (/ 1.0 (/ (+ x 1.0) (- 0 1.0))) x)

simplify85.0ms

Algorithm

egg-herbie

Counts

480 → 480

Iterations

Useful iterations: 1 (30.0ms)

Iter	Nodes	Cost
0	1582	5673
1	5001	5480

prune861.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (sqrt 1.0) (/ (+ x 1.0) (- 0 (* 1.0 1.0))))
0.1b	(* (/ (sqrt 1.0) (/ (+ x 1.0) (- 0 (* 1.0 1.0)))) (/ (sqrt 1.0) (* x 1.0)))

rewrite113.0ms

Algorithm

rewrite-expression-head

Rules

484×	`times-frac`
317×	`*-un-lft-identity`
281×	`add-sqr-sqrt`
213×	`add-cube-cbrt`
140×	`sqrt-prod`
137×	`associate-l`
52×	`distribute-lft-out` `difference-of-squares`
43×	`add-exp-log` `add-cbrt-cube`
28×	`associate-/r/`
22×	`associate-/r*`
18×	`cbrt-undiv` `div-exp`
16×	`div-inv`
13×	`flip3--` `flip--`
12×	`prod-exp` `cbrt-unprod`
10×	`associate-r`
6×	`associate-/l*`
5×	`unswap-sqr`
4×	`pow1`
2×	`add-log-exp`
1×	`frac-times` `frac-2neg` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `*-commutative`

Counts

2 → 357

Calls

2 calls:

16.0ms	(/ (sqrt 1.0) (/ (+ x 1.0) (- 0 (* 1.0 1.0))))
74.0ms	(* (/ (sqrt 1.0) (/ (+ x 1.0) (- 0 (* 1.0 1.0)))) (/ (sqrt 1.0) (* x 1.0)))

series187.0ms

Counts

2 → 6

Calls

2 calls:

64.0ms	(/ (sqrt 1.0) (/ (+ x 1.0) (- 0 (* 1.0 1.0))))
123.0ms	(* (/ (sqrt 1.0) (/ (+ x 1.0) (- 0 (* 1.0 1.0)))) (/ (sqrt 1.0) (* x 1.0)))

simplify70.0ms

Algorithm

egg-herbie

Counts

363 → 363

Iterations

Useful iterations: 1 (27.0ms)

Iter	Nodes	Cost
0	1285	4566
1	5001	4182

prune692.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes21.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	5
1	10	5

end0.0ms

sample399.0ms

Algorithm

intervals

Results

143.0ms	1985×	body	640	valid
78.0ms	4119×	body	80	valid
66.0ms	1301×	body	320	valid
24.0ms	597×	body	160	valid