Details

sample17.0ms

Algorithm

intervals

Results

8.0ms

256×

body

valid

simplify7.0ms

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
0.0b	(* 1.1283791670955126 (exp z))
0.4b	(- (* 1.1283791670955126 (exp z)) (* x y))
6.7b	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt` `*-un-lft-identity`
15×	`add-cube-cbrt`
9×	`times-frac`
8×	`add-cbrt-cube` `add-log-exp`
7×	`add-exp-log`
6×	`pow1`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`fma-def` `associate-r` `associate-l` `associate-/r` `associate-/l`
2×	`flip3--` `associate-/r/` `flip--`
1×	`cbrt-undiv` `+-commutative` `sub-neg` `frac-2neg` `flip3-+` `fma-neg` `diff-log` `div-exp` `prod-diff` `pow-prod-down` `prod-exp` `clear-num` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `div-inv` `distribute-lft-out` `unswap-sqr`

Counts

4 → 84

Calls

4 calls:

16.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
5.0ms	(* 1.1283791670955126 (exp z))
4.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
8.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

series185.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
17.0ms	(* 1.1283791670955126 (exp z))
59.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
71.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify48.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	356	637
1	1280	593
2	5001	590

prune254.0ms

Pruning

6 alts after pruning (6 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)) (* x y)) y)))
0.0b	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
0.4b	(- (* 1.1283791670955126 (exp z)) (* x y))
6.6b	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
58×	`*-un-lft-identity`
55×	`add-sqr-sqrt` `add-cube-cbrt`
17×	`add-exp-log`
16×	`associate-/r*`
11×	`add-cbrt-cube`
8×	`div-exp` `add-log-exp`
7×	`div-inv`
6×	`associate-/l*`
5×	`pow1`
4×	`cbrt-undiv` `expm1-log1p-u` `log1p-expm1-u`
3×	`fma-def`
2×	`rec-exp` `flip3--` `frac-2neg` `1-exp` `clear-num` `flip--` `associate-/l/` `distribute-lft-out`
1×	`+-commutative` `sub-neg` `pow-flip` `flip3-+` `fma-neg` `diff-log` `div-sub` `prod-diff` `sum-log` `associate-/r/` `flip-+` `inv-pow`

Counts

4 → 144

Calls

4 calls:

23.0ms	(+ x (/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)))
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)

series228.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(+ x (/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)))
47.0ms	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
59.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
74.0ms	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

simplify70.0ms

Algorithm

egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	574	1523
1	2549	1310
2	5001	1298

prune340.0ms

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

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
26×	`*-un-lft-identity`
24×	`add-exp-log`
23×	`add-cube-cbrt`
22×	`times-frac`
16×	`add-cbrt-cube`
13×	`associate-r`
9×	`pow1`
8×	`div-exp` `prod-exp`
6×	`1-exp` `associate-/l*` `add-log-exp`
4×	`cbrt-undiv` `expm1-log1p-u` `associate-/r*` `log1p-expm1-u` `div-inv`
3×	`rec-exp` `fma-def` `associate-r/` `associate-l*` `cbrt-unprod`
2×	`pow-flip` `frac-2neg` `pow-prod-down` `clear-num` `associate-/r/` `distribute-lft-out` `unswap-sqr`
1×	`+-commutative` `flip3--` `flip3-+` `sum-log` `*-commutative` `flip--` `flip-+` `inv-pow`

Counts

4 → 116

Calls

4 calls:

9.0ms	(+ x (/ 1 (* 1 (- (* 1.1283791670955126 (/ (exp z) y)) x))))
3.0ms	(/ (exp z) y)
15.0ms	(/ 1 (* 1 (- (* 1.1283791670955126 (/ (exp z) y)) x)))
9.0ms	(* 1.1283791670955126 (/ (exp z) y))

series146.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(+ x (/ 1 (* 1 (- (* 1.1283791670955126 (/ (exp z) y)) x))))
16.0ms	(/ (exp z) y)
66.0ms	(/ 1 (* 1 (- (* 1.1283791670955126 (/ (exp z) y)) x)))
21.0ms	(* 1.1283791670955126 (/ (exp z) y))

simplify54.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	483	750
1	1971	671
2	5002	663

prune305.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 96

Calls

4 calls:

9.0ms	(* 1.1283791670955126 (exp z))
7.0ms	(+ x (/ 1 (* 1 (- (/ (* 1.1283791670955126 (exp z)) y) x))))
5.0ms	(/ (* 1.1283791670955126 (exp z)) y)
17.0ms	(/ 1 (* 1 (- (/ (* 1.1283791670955126 (exp z)) y) x)))

series145.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(* 1.1283791670955126 (exp z))
45.0ms	(+ x (/ 1 (* 1 (- (/ (* 1.1283791670955126 (exp z)) y) x))))
20.0ms	(/ (* 1.1283791670955126 (exp z)) y)
63.0ms	(/ 1 (* 1 (- (/ (* 1.1283791670955126 (exp z)) y) x)))

simplify53.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	441	619
1	1880	542
2	5002	534

prune240.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes105.0ms

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	17	7
1	19	7
2	19	7

end0.0ms

sample457.0ms

Algorithm

intervals

Results

271.0ms

8000×

body

valid