Details

sample20.0ms

Algorithm

intervals

Results

8.0ms

256×

body

valid

simplify8.0ms

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: 3.2b

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))
1.6b	(- (* 1.1283791670955126 (exp z)) (* x y))
7.2b	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite87.0ms

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:

39.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
11.0ms	(* 1.1283791670955126 (exp z))
13.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
22.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

series199.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
17.0ms	(* 1.1283791670955126 (exp z))
66.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
75.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify50.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (37.0ms)

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

prune251.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

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))
1.6b	(- (* 1.1283791670955126 (exp z)) (* x y))
7.2b	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

rewrite83.0ms

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` `expm1-log1p-u` `log1p-expm1-u`
3×	`associate-r` `associate-l`
2×	`rec-exp` `flip3--` `frac-2neg` `1-exp` `clear-num` `flip--` `associate-/l/`
1×	`sub-neg` `pow-flip` `fma-neg` `diff-log` `div-sub` `prod-diff` `pow-prod-down` `prod-exp` `associate-/r/` `*-commutative` `cbrt-unprod` `inv-pow` `unswap-sqr`

Counts

4 → 146

Calls

4 calls:

13.0ms	(* 1.1283791670955126 (exp z))
21.0ms	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
12.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
32.0ms	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

series246.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(* 1.1283791670955126 (exp z))
92.0ms	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
58.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
79.0ms	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

simplify70.0ms

Algorithm

egg-herbie

Counts

158 → 158

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	547	1434
1	2526	1298
2	5002	1226

prune338.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite105.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 105

Calls

4 calls:

42.0ms	(+ x (/ 1 (- (* 1.1283791670955126 (/ (exp z) y)) x)))
14.0ms	(- (* 1.1283791670955126 (/ (exp z) y)) x)
26.0ms	(/ 1 (- (* 1.1283791670955126 (/ (exp z) y)) x))
20.0ms	(* 1.1283791670955126 (/ (exp z) y))

series184.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(+ x (/ 1 (- (* 1.1283791670955126 (/ (exp z) y)) x)))
45.0ms	(- (* 1.1283791670955126 (/ (exp z) y)) x)
69.0ms	(/ 1 (- (* 1.1283791670955126 (/ (exp z) y)) x))
22.0ms	(* 1.1283791670955126 (/ (exp z) y))

simplify58.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	470	787
1	2025	699
2	5001	693

prune262.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 61

Calls

3 calls:

11.0ms	(+ x (/ 1 (fma 1.1283791670955126 (/ (exp z) y) (- x))))
0.0ms	(fma 1.1283791670955126 (/ (exp z) y) (- x))
6.0ms	(/ 1 (fma 1.1283791670955126 (/ (exp z) y) (- x)))

series175.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(+ x (/ 1 (fma 1.1283791670955126 (/ (exp z) y) (- x))))
54.0ms	(fma 1.1283791670955126 (/ (exp z) y) (- x))
76.0ms	(/ 1 (fma 1.1283791670955126 (/ (exp z) y) (- x)))

simplify111.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 3 (104.0ms)

Iter	Nodes	Cost
0	240	522
1	788	465
2	3492	462
3	5001	460

prune161.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

regimes79.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	6
1	14	6

end0.0ms

sample470.0ms

Algorithm

intervals

Results

241.0ms

8000×

body

valid