Details

sample20.0ms

Algorithm

intervals

Results

8.0ms

256×

body

valid

simplify12.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	16	6
1	24	6
2	28	6
3	28	6

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
1.0b	(- (* 1.1283791670955126 (exp z)) (* x y))
7.0b	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

14×	`*-un-lft-identity`
12×	`add-sqr-sqrt` `add-cube-cbrt`
9×	`times-frac`
7×	`add-log-exp`
5×	`add-exp-log` `add-cbrt-cube`
3×	`pow1` `expm1-log1p-u` `fma-def` `associate-/r` `log1p-expm1-u` `associate-/l`
2×	`flip3--` `associate-/r/` `flip--`
1×	`cbrt-undiv` `+-commutative` `sub-neg` `frac-2neg` `flip3-+` `fma-neg` `diff-log` `div-exp` `prod-diff` `clear-num` `sum-log` `flip-+` `div-inv` `distribute-lft-out`

Counts

3 → 64

Calls

3 calls:

37.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
16.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
20.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

series173.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
58.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
77.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify169.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 3 (161.0ms)

Iter	Nodes	Cost
0	312	564
1	1073	525
2	4469	521
3	5001	518

prune217.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

24×	`*-un-lft-identity`
21×	`add-sqr-sqrt` `add-cube-cbrt`
18×	`times-frac`
9×	`add-exp-log`
8×	`add-cbrt-cube`
6×	`associate-/r` `associate-/l` `add-log-exp`
5×	`pow1`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`fma-def` `div-exp` `div-inv`
2×	`cbrt-undiv` `frac-2neg` `clear-num` `distribute-lft-out`
1×	`+-commutative` `rec-exp` `pow-flip` `flip3-+` `1-exp` `sum-log` `flip-+` `fma-udef` `inv-pow`

Counts

4 → 90

Calls

4 calls:

10.0ms	(+ x (/ 1 (fma (/ (exp z) y) 1.1283791670955126 (- x))))
7.0ms	(/ (exp z) y)
0.0ms	(fma (/ (exp z) y) 1.1283791670955126 (- x))
6.0ms	(/ 1 (fma (/ (exp z) y) 1.1283791670955126 (- x)))

series186.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(+ x (/ 1 (fma (/ (exp z) y) 1.1283791670955126 (- x))))
23.0ms	(/ (exp z) y)
46.0ms	(fma (/ (exp z) y) 1.1283791670955126 (- x))
74.0ms	(/ 1 (fma (/ (exp z) y) 1.1283791670955126 (- x)))

simplify147.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 3 (138.0ms)

Iter	Nodes	Cost
0	334	669
1	1077	602
2	4893	599
3	5001	598

prune284.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

2.4b	(* (* 1.1283791670955126 (exp z)) (* x y))
2.8b	(- (pow (* 1.1283791670955126 (exp z)) 3) (pow (* x y) 3))
4.1b	(/ y (- (pow (* 1.1283791670955126 (exp z)) 3) (pow (* x y) 3)))
21.0b	(* (/ y (- (pow (* 1.1283791670955126 (exp z)) 3) (pow (* x y) 3))) (+ (* (* 1.1283791670955126 (exp z)) (* 1.1283791670955126 (exp z))) (+ (* (* x y) (* x y)) (* (* 1.1283791670955126 (exp z)) (* x y)))))

rewrite518.0ms

Algorithm

rewrite-expression-head

Rules

86×	`add-sqr-sqrt`
65×	`*-un-lft-identity`
64×	`prod-diff`
55×	`times-frac`
49×	`add-cube-cbrt` `sqr-pow`
34×	`associate-l`
32×	`difference-of-squares`
23×	`add-cbrt-cube`
21×	`add-exp-log`
18×	`pow1`
17×	`cube-mult` `unpow-prod-down` `unpow3` `cube-prod`
10×	`prod-exp` `cbrt-unprod`
9×	`pow-prod-down` `associate-/r*`
8×	`difference-cubes` `fma-neg` `distribute-lft-out--`
6×	`add-log-exp`
4×	`expm1-log1p-u` `associate-r` `associate-/r/` `log1p-expm1-u`
3×	`flip3--` `flip--` `associate-/l*`
2×	`cbrt-undiv` `frac-times` `flip3-+` `associate-r/` `div-exp` `-commutative` `flip-+` `div-inv` `unswap-sqr`
1×	`distribute-rgt-in` `sub-neg` `frac-2neg` `distribute-lft-in` `diff-log` `associate-*l/` `clear-num`

Counts

4 → 231

Calls

4 calls:

39.0ms	(* (* 1.1283791670955126 (exp z)) (* x y))
19.0ms	(- (pow (* 1.1283791670955126 (exp z)) 3) (pow (* x y) 3))
26.0ms	(/ y (- (pow (* 1.1283791670955126 (exp z)) 3) (pow (* x y) 3)))
424.0ms	(* (/ y (- (pow (* 1.1283791670955126 (exp z)) 3) (pow (* x y) 3))) (+ (* (* 1.1283791670955126 (exp z)) (* 1.1283791670955126 (exp z))) (+ (* (* x y) (* x y)) (* (* 1.1283791670955126 (exp z)) (* x y)))))

series445.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(* (* 1.1283791670955126 (exp z)) (* x y))
150.0ms	(- (pow (* 1.1283791670955126 (exp z)) 3) (pow (* x y) 3))
74.0ms	(/ y (- (pow (* 1.1283791670955126 (exp z)) 3) (pow (* x y) 3)))
171.0ms	(* (/ y (- (pow (* 1.1283791670955126 (exp z)) 3) (pow (* x y) 3))) (+ (* (* 1.1283791670955126 (exp z)) (* 1.1283791670955126 (exp z))) (+ (* (* x y) (* x y)) (* (* 1.1283791670955126 (exp z)) (* x y)))))

simplify71.0ms

Algorithm

egg-herbie

Counts

243 → 243

Iterations

Useful iterations: 1 (36.0ms)

Iter	Nodes	Cost
0	1092	3561
1	5002	3012

prune762.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes150.0ms

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	14	6
1	14	6

end0.0ms

sample461.0ms

Algorithm

intervals

Results

241.0ms

8000×

body

valid