Details

sample26.0ms

Algorithm

intervals

Results

16.0ms

256×

body

valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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: 3.1b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
0.0b	(* 1.1283791670955126 (exp z))
1.2b	(- (* 1.1283791670955126 (exp z)) (* x y))
8.6b	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 71

Calls

4 calls:

17.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
5.0ms	(* 1.1283791670955126 (exp z))
4.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
9.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

series185.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
17.0ms	(* 1.1283791670955126 (exp z))
58.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
74.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify41.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	329	592
1	1175	552
2	5002	551

prune215.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 1.1283791670955126 (exp z))
0.1b	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
1.2b	(- (* 1.1283791670955126 (exp z)) (* x y))
8.6b	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

rewrite38.0ms

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))
11.0ms	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
4.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
12.0ms	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

series199.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(* 1.1283791670955126 (exp z))
48.0ms	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
58.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
75.0ms	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

simplify69.0ms

Algorithm

egg-herbie

Counts

148 → 148

Iterations

Useful iterations: 2 (55.0ms)

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

prune301.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 106

Calls

4 calls:

29.0ms	(+ x (/ 1 (- (* 1.1283791670955126 (/ (exp z) y)) (/ x 1))))
3.0ms	(/ (exp z) y)
17.0ms	(/ 1 (- (* 1.1283791670955126 (/ (exp z) y)) (/ x 1)))
12.0ms	(* 1.1283791670955126 (/ (exp z) y))

series144.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(+ x (/ 1 (- (* 1.1283791670955126 (/ (exp z) y)) (/ x 1))))
17.0ms	(/ (exp z) y)
65.0ms	(/ 1 (- (* 1.1283791670955126 (/ (exp z) y)) (/ x 1)))
21.0ms	(* 1.1283791670955126 (/ (exp z) y))

simplify53.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	451	819
1	1861	740
2	5001	728

prune266.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b	(pow (- (* 1.1283791670955126 (/ (exp z) y)) x) 3)
0.1b	(* 1.1283791670955126 (/ (exp z) y))
0.2b	(/ 1 (pow (- (* 1.1283791670955126 (/ (exp z) y)) x) 3))
30.8b	(cbrt (/ 1 (pow (- (* 1.1283791670955126 (/ (exp z) y)) x) 3)))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

82×	`times-frac`
67×	`add-sqr-sqrt`
62×	`add-cube-cbrt` `*-un-lft-identity`
42×	`cbrt-prod`
24×	`unpow-prod-down` `cube-prod`
18×	`add-exp-log`
13×	`associate-r`
12×	`associate-/r*` `add-cbrt-cube`
8×	`cube-mult` `unpow3` `sqr-pow`
7×	`pow1` `div-exp`
6×	`cube-div`
4×	`pow-to-exp` `pow-exp` `associate-/r/` `add-log-exp`
3×	`rec-exp` `pow-unpow` `flip3--` `1-exp` `associate-l` `flip--` `div-inv` `associate-/l*`
2×	`cbrt-undiv` `prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-div` `pow-flip` `pow-pow` `frac-2neg` `pow1/3` `associate-r/` `pow-prod-down` `clear-num` `-commutative` `inv-pow` `rem-cube-cbrt`

Counts

4 → 183

Calls

4 calls:

11.0ms	(pow (- (* 1.1283791670955126 (/ (exp z) y)) x) 3)
10.0ms	(* 1.1283791670955126 (/ (exp z) y))
25.0ms	(/ 1 (pow (- (* 1.1283791670955126 (/ (exp z) y)) x) 3))
14.0ms	(cbrt (/ 1 (pow (- (* 1.1283791670955126 (/ (exp z) y)) x) 3)))

series320.0ms

Counts

4 → 12

Calls

4 calls:

103.0ms	(pow (- (* 1.1283791670955126 (/ (exp z) y)) x) 3)
24.0ms	(* 1.1283791670955126 (/ (exp z) y))
126.0ms	(/ 1 (pow (- (* 1.1283791670955126 (/ (exp z) y)) x) 3))
67.0ms	(cbrt (/ 1 (pow (- (* 1.1283791670955126 (/ (exp z) y)) x) 3)))

simplify86.0ms

Algorithm

egg-herbie

Counts

195 → 195

Iterations

Useful iterations: 2 (66.0ms)

Iter	Nodes	Cost
0	640	2025
1	2978	1709
2	5001	1677

prune351.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes73.0ms

Accuracy

0% (0.0b 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	16	7
1	18	7
2	18	7

end0.0ms

sample697.0ms

Algorithm

intervals

Results

514.0ms

8000×

body

valid