Details

sample18.0ms

Algorithm

intervals

Results

7.0ms

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: 2.1b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(* 1.1283791670955126 (exp z))
0.4b	(- (* 1.1283791670955126 (exp z)) (* x y))
6.0b	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 67

Calls

3 calls:

12.0ms	(* 1.1283791670955126 (exp z))
15.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
19.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

series147.0ms

Counts

3 → 9

Calls

3 calls:

16.0ms	(* 1.1283791670955126 (exp z))
55.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
76.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify37.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	290	501
1	1077	461
2	5001	459

prune197.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 1.5b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 1.1283791670955126 (exp z))
0.1b	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
0.4b	(- (* 1.1283791670955126 (exp z)) (* x y))
5.9b	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

rewrite85.0ms

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:

14.0ms	(* 1.1283791670955126 (exp z))
22.0ms	(/ 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)

series203.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(* 1.1283791670955126 (exp z))
54.0ms	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
60.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
72.0ms	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

simplify69.0ms

Algorithm

egg-herbie

Counts

158 → 158

Iterations

Useful iterations: 2 (56.0ms)

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

prune307.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 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))

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt`
29×	`add-cube-cbrt` `*-un-lft-identity`
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`
3×	`cbrt-undiv` `associate-l` `prod-diff` `div-inv`
2×	`flip3--` `frac-2neg` `prod-exp` `clear-num` `associate-/r/` `flip--` `cbrt-unprod` `unswap-sqr`
1×	`sub-neg` `rec-exp` `pow-flip` `fma-neg` `diff-log` `1-exp` `associate-r/` `pow-prod-down` `-commutative` `inv-pow`

Counts

4 → 116

Calls

4 calls:

14.0ms	(- (* 1.1283791670955126 (/ (exp z) y)) x)
7.0ms	(/ (exp z) y)
27.0ms	(/ 1 (- (* 1.1283791670955126 (/ (exp z) y)) x))
22.0ms	(* 1.1283791670955126 (/ (exp z) y))

series158.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(- (* 1.1283791670955126 (/ (exp z) y)) x)
22.0ms	(/ (exp z) y)
65.0ms	(/ 1 (- (* 1.1283791670955126 (/ (exp z) y)) x))
26.0ms	(* 1.1283791670955126 (/ (exp z) y))

simplify57.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	435	792
1	1832	713
2	5002	692

prune289.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 1.1283791670955126 (exp z))
0.4b	(/ 1 (- (* 1.1283791670955126 (exp z)) (* x y)))
0.4b	(- (* 1.1283791670955126 (exp z)) (* x y))
5.6b	(* (/ 1 (- (* 1.1283791670955126 (exp z)) (* x y))) y)

rewrite109.0ms

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:

12.0ms	(* 1.1283791670955126 (exp z))
24.0ms	(/ 1 (- (* 1.1283791670955126 (exp z)) (* x y)))
13.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
57.0ms	(* (/ 1 (- (* 1.1283791670955126 (exp z)) (* x y))) y)

series193.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(* 1.1283791670955126 (exp z))
60.0ms	(/ 1 (- (* 1.1283791670955126 (exp z)) (* x y)))
60.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
52.0ms	(* (/ 1 (- (* 1.1283791670955126 (exp z)) (* x y))) y)

simplify54.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 2 (45.0ms)

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

prune269.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes151.0ms

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

sample470.0ms

Algorithm

intervals

Results

242.0ms

8001×

body

valid