Details

sample19.0ms

Algorithm

intervals

Results

5.0ms	63×	body	640	valid
3.0ms	135×	body	80	valid
3.0ms	41×	body	320	valid
1.0ms	17×	body	160	valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	5
1	15	5
2	15	5

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.9b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1.0 (- x 1.0))
2.1b	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

rewrite91.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 69

Calls

2 calls:

11.0ms	(/ 1.0 (- x 1.0))
76.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

series185.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(/ 1.0 (- x 1.0))
160.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

simplify34.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	314	506
1	1068	483
2	5001	480

prune138.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.2b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (* 1.0 (- (- x 1.0) (+ x 1.0))) (- (* x x) (* 1.0 1.0)))
1.4b	(- (- x 1.0) (+ x 1.0))

rewrite111.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 59

Calls

2 calls:

63.0ms	(/ (* 1.0 (- (- x 1.0) (+ x 1.0))) (- (* x x) (* 1.0 1.0)))
46.0ms	(- (- x 1.0) (+ x 1.0))

series52.0ms

Counts

2 → 6

Calls

2 calls:

46.0ms	(/ (* 1.0 (- (- x 1.0) (+ x 1.0))) (- (* x x) (* 1.0 1.0)))
6.0ms	(- (- x 1.0) (+ x 1.0))

simplify63.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	446	580
1	2623	513
2	5001	510

prune131.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.2b

localize7.0ms

Local error

Found 1 expressions with local error:

0.2b	(/ (* 1.0 (- 2.0)) (- (* x x) (* 1.0 1.0)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-exp-log` `add-cbrt-cube`
4×	`times-frac` `associate-/r*`
3×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
2×	`cbrt-undiv` `div-exp` `associate-/r/` `difference-of-squares`
1×	`pow1` `flip3--` `frac-2neg` `distribute-frac-neg` `prod-exp` `clear-num` `distribute-rgt-neg-out` `flip--` `cbrt-unprod` `div-inv` `associate-/l*` `add-log-exp`

Counts

1 → 26

Calls

1 calls:

19.0ms

(/ (* 1.0 (- 2.0)) (- (* x x) (* 1.0 1.0)))

series51.0ms

Counts

1 → 3

Calls

1 calls:

51.0ms

(/ (* 1.0 (- 2.0)) (- (* x x) (* 1.0 1.0)))

simplify33.0ms

Algorithm

egg-herbie

Counts

29 → 29

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	242	257
1	1216	215
2	5001	211

prune61.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.1b	(/ (/ (* 1.0 (- 2.0)) (+ x 1.0)) (- x 1.0))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

74×	`times-frac`
58×	`*-un-lft-identity`
46×	`add-sqr-sqrt`
24×	`add-cube-cbrt`
14×	`associate-/r/`
11×	`distribute-lft-out--` `difference-of-squares`
10×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
7×	`div-inv`
6×	`flip3-+` `flip-+` `distribute-lft-out`
5×	`cbrt-undiv` `div-exp` `associate-/r*`
2×	`distribute-frac-neg`
1×	`pow1` `flip3--` `frac-2neg` `prod-exp` `clear-num` `distribute-rgt-neg-out` `flip--` `cbrt-unprod` `associate-/l/` `add-log-exp`

Counts

1 → 85

Calls

1 calls:

32.0ms

(/ (/ (* 1.0 (- 2.0)) (+ x 1.0)) (- x 1.0))

series64.0ms

Counts

1 → 3

Calls

1 calls:

64.0ms

(/ (/ (* 1.0 (- 2.0)) (+ x 1.0)) (- x 1.0))

simplify71.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	526	942
1	2839	887
2	5002	887

prune162.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes15.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	6
1	19	6
2	22	6
3	22	6

end0.0ms

sample482.0ms

Algorithm

intervals

Results

162.0ms	1938×	body	640	valid
97.0ms	4219×	body	80	valid
73.0ms	1221×	body	320	valid
26.0ms	622×	body	160	valid