Details

sample17.0ms

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: 3.1b

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))
7.7b	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite38.0ms

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:

18.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
5.0ms	(* 1.1283791670955126 (exp z))
5.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
8.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

series183.0ms

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))
72.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify48.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (37.0ms)

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

prune245.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ z (log 1.1283791670955126))
0.0b	(exp (+ z (log 1.1283791670955126)))
1.2b	(- (exp (+ z (log 1.1283791670955126))) (* x y))
7.7b	(/ y (- (exp (+ z (log 1.1283791670955126))) (* x y)))

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 91

Calls

4 calls:

3.0ms	(+ z (log 1.1283791670955126))
12.0ms	(exp (+ z (log 1.1283791670955126)))
35.0ms	(- (exp (+ z (log 1.1283791670955126))) (* x y))
34.0ms	(/ y (- (exp (+ z (log 1.1283791670955126))) (* x y)))

series398.0ms

Counts

4 → 12

Calls

4 calls:

151.0ms	(+ z (log 1.1283791670955126))
17.0ms	(exp (+ z (log 1.1283791670955126)))
86.0ms	(- (exp (+ z (log 1.1283791670955126))) (* x y))
144.0ms	(/ y (- (exp (+ z (log 1.1283791670955126))) (* x y)))

simplify45.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	328	681
1	1149	603
2	5001	590

prune280.0ms

Pruning

4 alts after pruning (3 fresh and 1 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))
7.6b	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

rewrite41.0ms

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:

9.0ms	(* 1.1283791670955126 (exp z))
11.0ms	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
5.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
12.0ms	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

series202.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(* 1.1283791670955126 (exp z))
53.0ms	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
61.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
70.0ms	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

simplify74.0ms

Algorithm

egg-herbie

Counts

158 → 158

Iterations

Useful iterations: 2 (60.0ms)

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

prune333.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 1.1283791670955126 (/ (exp z) y)) (/ x 1))
0.0b	(/ (exp z) y)
0.1b	(/ 1 (- (* 1.1283791670955126 (/ (exp z) y)) (/ x 1)))
0.2b	(* 1.1283791670955126 (/ (exp z) y))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-sqr-sqrt`
37×	`times-frac`
35×	`add-cube-cbrt` `*-un-lft-identity`
13×	`add-exp-log` `associate-r` `prod-diff` `add-cbrt-cube`
7×	`pow1`
6×	`associate-/r` `associate-/l` `add-log-exp`
4×	`expm1-log1p-u` `div-exp` `log1p-expm1-u` `div-inv`
3×	`cbrt-undiv` `associate-r/` `associate-l*` `associate-/r/`
2×	`flip3--` `frac-2neg` `prod-exp` `clear-num` `frac-sub` `flip--` `cbrt-unprod` `unswap-sqr`
1×	`sub-neg` `rec-exp` `pow-flip` `fma-neg` `diff-log` `1-exp` `pow-prod-down` `*-commutative` `inv-pow`

Counts

4 → 128

Calls

4 calls:

9.0ms	(- (* 1.1283791670955126 (/ (exp z) y)) (/ x 1))
3.0ms	(/ (exp z) y)
17.0ms	(/ 1 (- (* 1.1283791670955126 (/ (exp z) y)) (/ x 1)))
10.0ms	(* 1.1283791670955126 (/ (exp z) y))

series154.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(- (* 1.1283791670955126 (/ (exp z) y)) (/ x 1))
16.0ms	(/ (exp z) y)
67.0ms	(/ 1 (- (* 1.1283791670955126 (/ (exp z) y)) (/ x 1)))
22.0ms	(* 1.1283791670955126 (/ (exp z) y))

simplify69.0ms

Algorithm

egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	644	1094
1	2837	805
2	5001	797

prune314.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes90.0ms

Accuracy

0% (0.1b 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	19	11
1	21	11
2	21	11

end0.0ms

sample427.0ms

Algorithm

intervals

Results

257.0ms

8000×

body

valid