Details

sample19.0ms

Algorithm

intervals

Results

9.0ms

256×

body

valid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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: 3.7b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
1.8b	(- (* 1.1283791670955126 (exp z)) (* x y))
6.9b	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite35.0ms

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:

21.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
4.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
8.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

series163.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
59.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
68.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify145.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 3 (134.0ms)

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

prune195.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite18.0ms

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:

3.0ms	(/ (exp z) y)
7.0ms	(+ x (/ 1 (fma (/ (exp z) y) 1.1283791670955126 (- x))))
0.0ms	(fma (/ (exp z) y) 1.1283791670955126 (- x))
2.0ms	(/ 1 (fma (/ (exp z) y) 1.1283791670955126 (- x)))

series169.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(/ (exp z) y)
41.0ms	(+ x (/ 1 (fma (/ (exp z) y) 1.1283791670955126 (- x))))
49.0ms	(fma (/ (exp z) y) 1.1283791670955126 (- x))
63.0ms	(/ 1 (fma (/ (exp z) y) 1.1283791670955126 (- x)))

simplify141.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 3 (133.0ms)

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

prune255.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (/ 1 (fma (/ (exp z) y) 1.1283791670955126 (- x)))) (cbrt (/ 1 (fma (/ (exp z) y) 1.1283791670955126 (- x)))))
0.4b	(cbrt (/ 1 (fma (/ (exp z) y) 1.1283791670955126 (- x))))
0.4b	(cbrt (/ 1 (fma (/ (exp z) y) 1.1283791670955126 (- x))))
0.4b	(cbrt (/ 1 (fma (/ (exp z) y) 1.1283791670955126 (- x))))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

119×	`cbrt-prod`
97×	`add-sqr-sqrt`
79×	`times-frac`
67×	`*-un-lft-identity`
57×	`add-cube-cbrt`
18×	`swap-sqr`
16×	`associate-r` `associate-l` `unswap-sqr`
11×	`pow1`
9×	`pow1/3` `div-inv`
7×	`cbrt-div`
6×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 161

Calls

4 calls:

19.0ms	(* (cbrt (/ 1 (fma (/ (exp z) y) 1.1283791670955126 (- x)))) (cbrt (/ 1 (fma (/ (exp z) y) 1.1283791670955126 (- x)))))
2.0ms	(cbrt (/ 1 (fma (/ (exp z) y) 1.1283791670955126 (- x))))
2.0ms	(cbrt (/ 1 (fma (/ (exp z) y) 1.1283791670955126 (- x))))
2.0ms	(cbrt (/ 1 (fma (/ (exp z) y) 1.1283791670955126 (- x))))

series669.0ms

Counts

4 → 12

Calls

4 calls:

200.0ms	(* (cbrt (/ 1 (fma (/ (exp z) y) 1.1283791670955126 (- x)))) (cbrt (/ 1 (fma (/ (exp z) y) 1.1283791670955126 (- x)))))
158.0ms	(cbrt (/ 1 (fma (/ (exp z) y) 1.1283791670955126 (- x))))
154.0ms	(cbrt (/ 1 (fma (/ (exp z) y) 1.1283791670955126 (- x))))
157.0ms	(cbrt (/ 1 (fma (/ (exp z) y) 1.1283791670955126 (- x))))

simplify66.0ms

Algorithm

egg-herbie

Counts

173 → 173

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	494	2803
1	1848	2640
2	5001	2347

prune495.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes114.0ms

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

sample453.0ms

Algorithm

intervals

Results

285.0ms

8001×

body

valid