Details

sample30.0ms

Algorithm

intervals

Results

20.0ms

256×

body

valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	6
1	22	6
2	22	6

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.7b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(* 1.1283791670955126 (exp z))
0.6b	(- (* 1.1283791670955126 (exp z)) (* x y))
8.2b	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
7×	`add-cbrt-cube`
6×	`add-exp-log`
5×	`pow1` `add-log-exp`
3×	`associate-r` `associate-l` `associate-/r` `associate-/l`
2×	`flip3--` `associate-/r/` `flip--`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

3 → 59

Calls

3 calls:

5.0ms	(* 1.1283791670955126 (exp z))
4.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
8.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

series144.0ms

Counts

3 → 9

Calls

3 calls:

17.0ms	(* 1.1283791670955126 (exp z))
55.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
72.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify166.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	268	470
1	994	433
2	4728	432
3	5001	432

prune175.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 1.8b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 1.1283791670955126 (exp z))
0.3b	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
0.6b	(- (* 1.1283791670955126 (exp z)) (* x y))
8.2b	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
58×	`add-sqr-sqrt`
56×	`add-cube-cbrt` `*-un-lft-identity`
18×	`add-exp-log`
16×	`associate-/r*`
13×	`add-cbrt-cube`
8×	`div-exp`
7×	`pow1`
6×	`div-inv` `associate-/l*` `add-log-exp`
4×	`cbrt-undiv`
3×	`associate-r` `associate-l`
2×	`rec-exp` `flip3--` `frac-2neg` `1-exp` `clear-num` `flip--` `associate-/l/`
1×	`sub-neg` `pow-flip` `diff-log` `div-sub` `pow-prod-down` `prod-exp` `associate-/r/` `*-commutative` `cbrt-unprod` `inv-pow` `unswap-sqr`

Counts

4 → 136

Calls

4 calls:

5.0ms	(* 1.1283791670955126 (exp z))
10.0ms	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
4.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
11.0ms	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

series192.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(* 1.1283791670955126 (exp z))
51.0ms	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
57.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
67.0ms	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

simplify68.0ms

Algorithm

egg-herbie

Counts

148 → 148

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	521	1391
1	2422	1259
2	5001	1188

prune303.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (exp z) y)
0.1b	(* 1.1283791670955126 (/ (exp z) y))
0.3b	(/ 1 (- (* 1.1283791670955126 (/ (exp z) y)) (/ x 1)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-sqr-sqrt`
28×	`times-frac`
27×	`add-cube-cbrt` `*-un-lft-identity`
13×	`associate-r`
12×	`add-exp-log` `add-cbrt-cube`
6×	`pow1` `associate-/r` `associate-/l`
4×	`div-exp`
3×	`cbrt-undiv` `associate-l` `associate-/r/` `div-inv` `add-log-exp`
2×	`frac-2neg` `associate-*r/` `prod-exp` `clear-num` `cbrt-unprod` `unswap-sqr`
1×	`rec-exp` `flip3--` `pow-flip` `1-exp` `pow-prod-down` `*-commutative` `frac-sub` `flip--` `inv-pow`

Counts

3 → 93

Calls

3 calls:

3.0ms	(/ (exp z) y)
9.0ms	(* 1.1283791670955126 (/ (exp z) y))
16.0ms	(/ 1 (- (* 1.1283791670955126 (/ (exp z) y)) (/ x 1)))

series103.0ms

Counts

3 → 9

Calls

3 calls:

17.0ms	(/ (exp z) y)
20.0ms	(* 1.1283791670955126 (/ (exp z) y))
66.0ms	(/ 1 (- (* 1.1283791670955126 (/ (exp z) y)) (/ x 1)))

simplify49.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	388	674
1	1629	599
2	5001	587

prune249.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(* 1.1283791670955126 (exp z))
0.6b	(- (* 1.1283791670955126 (exp z)) (* x y))
8.2b	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
7×	`add-cbrt-cube`
6×	`add-exp-log`
5×	`pow1` `add-log-exp`
3×	`associate-r` `associate-l` `associate-/r` `associate-/l`
2×	`flip3--` `associate-/r/` `flip--`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

3 → 59

Calls

3 calls:

5.0ms	(* 1.1283791670955126 (exp z))
4.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
8.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

series148.0ms

Counts

3 → 9

Calls

3 calls:

17.0ms	(* 1.1283791670955126 (exp z))
59.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
72.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify159.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	268	470
1	994	433
2	4728	432
3	5001	432

prune175.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes96.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	7
1	18	7
2	18	7

end0.0ms

sample825.0ms

Algorithm

intervals

Results

644.0ms

8000×

body

valid