Details

sample12.0ms

Algorithm

intervals

Results

6.0ms

327×

body

valid

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	3
1	17	3
2	21	3
3	23	3
4	24	3
5	24	3

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* x x) 3.0)
0.3b	(/ (- (* x x) 3.0) 6.0)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
12×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
5×	`difference-of-squares`
4×	`add-exp-log` `add-cbrt-cube` `associate-/l*` `add-log-exp`
3×	`prod-diff` `associate-/r*`
2×	`pow1` `expm1-log1p-u` `flip3--` `flip--` `log1p-expm1-u` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `fma-neg` `diff-log` `div-sub` `div-exp` `clear-num` `div-inv`

Counts

2 → 55

Calls

2 calls:

3.0ms	(- (* x x) 3.0)
9.0ms	(/ (- (* x x) 3.0) 6.0)

series107.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(- (* x x) 3.0)
64.0ms	(/ (- (* x x) 3.0) 6.0)

simplify31.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	246	323
1	917	287
2	5001	279

prune104.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x x) 3.0)
0.1b	(/ 1 (/ 6.0 (- (* x x) 3.0)))
0.3b	(/ 6.0 (- (* x x) 3.0))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

114×	`times-frac`
81×	`add-sqr-sqrt`
64×	`add-cube-cbrt` `*-un-lft-identity`
22×	`associate-/r*`
17×	`difference-of-squares`
16×	`add-exp-log`
11×	`associate-/r/`
10×	`add-cbrt-cube`
8×	`div-exp`
6×	`flip3--` `flip--` `div-inv` `associate-/l*`
5×	`add-log-exp`
4×	`pow1` `cbrt-undiv`
3×	`expm1-log1p-u` `prod-diff` `log1p-expm1-u`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num`
1×	`sub-neg` `pow-flip` `fma-neg` `diff-log` `inv-pow`

Counts

3 → 152

Calls

3 calls:

3.0ms	(- (* x x) 3.0)
10.0ms	(/ 1 (/ 6.0 (- (* x x) 3.0)))
6.0ms	(/ 6.0 (- (* x x) 3.0))

series159.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(- (* x x) 3.0)
68.0ms	(/ 1 (/ 6.0 (- (* x x) 3.0)))
52.0ms	(/ 6.0 (- (* x x) 3.0))

simplify73.0ms

Algorithm

egg-herbie

Counts

161 → 161

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	557	1254
1	2698	1107
2	5002	1004

prune215.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x x) 3.0)
0.1b	(/ 1 (* 6.0 (/ 1 (- (* x x) 3.0))))
0.1b	(* 6.0 (/ 1 (- (* x x) 3.0)))
0.3b	(/ 1 (- (* x x) 3.0))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

52×	`add-exp-log`
40×	`add-sqr-sqrt`
29×	`times-frac`
26×	`*-un-lft-identity`
25×	`add-cube-cbrt`
20×	`div-exp` `add-cbrt-cube`
18×	`associate-r`
16×	`prod-exp`
10×	`pow1` `rec-exp` `1-exp`
8×	`difference-of-squares`
6×	`cbrt-undiv` `associate-/r/` `associate-/l*` `add-log-exp`
5×	`associate-/r*`
4×	`expm1-log1p-u` `cbrt-unprod` `log1p-expm1-u`
3×	`flip3--` `pow-flip` `associate-l` `prod-diff` `flip--` `div-inv` `unswap-sqr`
2×	`frac-2neg` `associate-*r/` `pow-prod-down` `clear-num` `un-div-inv` `inv-pow`
1×	`sub-neg` `fma-neg` `diff-log` `*-commutative`

Counts

4 → 143

Calls

4 calls:

3.0ms	(- (* x x) 3.0)
13.0ms	(/ 1 (* 6.0 (/ 1 (- (* x x) 3.0))))
17.0ms	(* 6.0 (/ 1 (- (* x x) 3.0)))
7.0ms	(/ 1 (- (* x x) 3.0))

series202.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(- (* x x) 3.0)
66.0ms	(/ 1 (* 6.0 (/ 1 (- (* x x) 3.0))))
52.0ms	(* 6.0 (/ 1 (- (* x x) 3.0)))
45.0ms	(/ 1 (- (* x x) 3.0))

simplify61.0ms

Algorithm

egg-herbie

Counts

155 → 155

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	526	888
1	2436	726
2	5001	681

prune220.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (sqrt 3.0))
0.0b	(+ x (sqrt 3.0))
0.1b	(/ (+ x (sqrt 3.0)) (/ 6.0 (- x (sqrt 3.0))))
0.7b	(/ 6.0 (- x (sqrt 3.0)))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

204×	`times-frac`
196×	`*-un-lft-identity`
184×	`add-sqr-sqrt`
104×	`add-cube-cbrt`
40×	`difference-of-squares`
30×	`associate-/r*`
29×	`sqrt-prod`
26×	`distribute-lft-out`
20×	`distribute-lft-out--`
18×	`prod-diff`
13×	`associate-/r/`
11×	`add-exp-log` `add-cbrt-cube`
8×	`add-log-exp`
7×	`flip3--` `flip--` `div-inv` `associate-/l*`
4×	`pow1` `cbrt-undiv` `expm1-log1p-u` `div-exp` `log1p-expm1-u`
3×	`fma-def` `fma-neg`
2×	`frac-2neg` `flip3-+` `clear-num` `flip-+` `associate-/l/`
1×	`+-commutative` `sub-neg` `diff-log` `sum-log`

Counts

4 → 241

Calls

4 calls:

4.0ms	(- x (sqrt 3.0))
3.0ms	(+ x (sqrt 3.0))
20.0ms	(/ (+ x (sqrt 3.0)) (/ 6.0 (- x (sqrt 3.0))))
7.0ms	(/ 6.0 (- x (sqrt 3.0)))

series302.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(- x (sqrt 3.0))
40.0ms	(+ x (sqrt 3.0))
160.0ms	(/ (+ x (sqrt 3.0)) (/ 6.0 (- x (sqrt 3.0))))
61.0ms	(/ 6.0 (- x (sqrt 3.0)))

simplify105.0ms

Algorithm

egg-herbie

Counts

253 → 253

Iterations

Useful iterations: 2 (76.0ms)

Iter	Nodes	Cost
0	681	2672
1	3341	2364
2	5002	2346

prune398.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes52.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	5
1	12	5

end0.0ms

sample286.0ms

Algorithm

intervals

Results

176.0ms

10671×

body

valid