Details

sample17.0ms

Algorithm

intervals

Results

8.0ms

256×

body

valid

simplify6.0ms

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

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.6b

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))
0.6b	(- (* 1.1283791670955126 (exp z)) (* x y))
8.8b	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite40.0ms

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))
4.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
11.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

series186.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
22.0ms	(* 1.1283791670955126 (exp z))
55.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
74.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify43.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (35.0ms)

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

prune243.0ms

Filtered

96 candidates to 76 candidates (79.2%)

Pruning

5 alts after pruning (4 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))
0.6b	(- (* 1.1283791670955126 (exp z)) (* x y))
8.7b	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

rewrite36.0ms

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:

5.0ms	(* 1.1283791670955126 (exp z))
10.0ms	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
5.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
11.0ms	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

series206.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(* 1.1283791670955126 (exp z))
47.0ms	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
62.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
76.0ms	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

simplify71.0ms

Algorithm

egg-herbie

Counts

158 → 158

Iterations

Useful iterations: 2 (57.0ms)

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

prune325.0ms

Filtered

158 candidates to 99 candidates (62.7%)

Pruning

4 alts after pruning (3 fresh and 1 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	(/ (exp z) y)
0.1b	(/ 1 (- (* 1.1283791670955126 (/ (exp z) y)) x))
0.1b	(* 1.1283791670955126 (/ (exp z) y))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt`
32×	`*-un-lft-identity`
29×	`add-cube-cbrt`
28×	`times-frac`
13×	`add-exp-log` `associate-r` `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` `fma-def` `associate-l`
2×	`frac-2neg` `prod-exp` `clear-num` `associate-/r/` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`
1×	`+-commutative` `rec-exp` `flip3--` `pow-flip` `flip3-+` `1-exp` `associate-r/` `pow-prod-down` `sum-log` `-commutative` `flip--` `flip-+` `inv-pow`

Counts

4 → 116

Calls

4 calls:

20.0ms	(+ x (/ 1 (- (* 1.1283791670955126 (/ (exp z) y)) x)))
3.0ms	(/ (exp z) y)
12.0ms	(/ 1 (- (* 1.1283791670955126 (/ (exp z) y)) x))
13.0ms	(* 1.1283791670955126 (/ (exp z) y))

series151.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(+ x (/ 1 (- (* 1.1283791670955126 (/ (exp z) y)) x)))
17.0ms	(/ (exp z) y)
68.0ms	(/ 1 (- (* 1.1283791670955126 (/ (exp z) y)) x))
21.0ms	(* 1.1283791670955126 (/ (exp z) y))

simplify53.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	447	788
1	1789	716
2	5002	710

prune305.0ms

Filtered

128 candidates to 91 candidates (71.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 1.1283791670955126 (exp z))
0.5b	(/ 1 (- (* 1.1283791670955126 (exp z)) (* x y)))
0.6b	(- (* 1.1283791670955126 (exp z)) (* x y))
8.4b	(* (/ 1 (- (* 1.1283791670955126 (exp z)) (* x y))) y)

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 110

Calls

4 calls:

5.0ms	(* 1.1283791670955126 (exp z))
9.0ms	(/ 1 (- (* 1.1283791670955126 (exp z)) (* x y)))
4.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
23.0ms	(* (/ 1 (- (* 1.1283791670955126 (exp z)) (* x y))) y)

series188.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(* 1.1283791670955126 (exp z))
64.0ms	(/ 1 (- (* 1.1283791670955126 (exp z)) (* x y)))
54.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
53.0ms	(* (/ 1 (- (* 1.1283791670955126 (exp z)) (* x y))) y)

simplify57.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	410	848
1	1789	751
2	5002	729

prune290.0ms

Filtered

122 candidates to 84 candidates (68.9%)

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes144.0ms

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	15	6
1	15	6

end0.0ms

sample440.0ms

Algorithm

intervals

Results

261.0ms

8000×

body

valid