Details

sample26.0ms

Algorithm

intervals

Results

16.0ms

256×

body

valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	15	6
1	22	6
2	22	6

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.0b

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))
8.7b	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt` `*-un-lft-identity`
14×	`add-cube-cbrt`
9×	`times-frac`
8×	`add-cbrt-cube` `add-log-exp`
7×	`add-exp-log`
6×	`pow1`
3×	`associate-r` `associate-l` `associate-/r` `associate-/l`
2×	`flip3--` `associate-/r/` `flip--`
1×	`cbrt-undiv` `+-commutative` `sub-neg` `frac-2neg` `flip3-+` `diff-log` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `div-inv` `distribute-lft-out` `unswap-sqr`

Counts

4 → 71

Calls

4 calls:

16.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
5.0ms	(* 1.1283791670955126 (exp z))
4.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
8.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

series180.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
17.0ms	(* 1.1283791670955126 (exp z))
57.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
72.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify39.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	329	592
1	1175	552
2	5002	551

prune246.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)))
0.1b	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
1.6b	(- (* 1.1283791670955126 (exp z)) (* x y))
8.7b	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
57×	`*-un-lft-identity`
54×	`add-sqr-sqrt` `add-cube-cbrt`
17×	`add-exp-log`
16×	`associate-/r*`
11×	`add-cbrt-cube`
8×	`div-exp` `add-log-exp`
7×	`div-inv`
6×	`associate-/l*`
5×	`pow1`
4×	`cbrt-undiv`
2×	`rec-exp` `flip3--` `frac-2neg` `1-exp` `clear-num` `flip--` `associate-/l/` `distribute-lft-out`
1×	`+-commutative` `sub-neg` `pow-flip` `flip3-+` `diff-log` `div-sub` `sum-log` `associate-/r/` `flip-+` `inv-pow`

Counts

4 → 131

Calls

4 calls:

23.0ms	(+ x (/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)))
10.0ms	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
4.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
11.0ms	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

series219.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(+ x (/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)))
47.0ms	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
56.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
70.0ms	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

simplify67.0ms

Algorithm

egg-herbie

Counts

143 → 143

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	545	1469
1	2439	1265
2	5001	1255

prune269.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-exp-log`
19×	`add-sqr-sqrt`
17×	`*-un-lft-identity`
14×	`add-cube-cbrt` `add-cbrt-cube`
13×	`times-frac` `associate-r`
9×	`pow1`
8×	`prod-exp` `add-log-exp`
7×	`div-exp`
6×	`1-exp`
3×	`cbrt-undiv` `rec-exp` `associate-r/` `associate-l` `cbrt-unprod` `div-inv` `associate-/l`
2×	`flip3--` `pow-flip` `pow-prod-down` `associate-/r/` `flip--` `distribute-lft-out` `unswap-sqr`
1×	`+-commutative` `sub-neg` `frac-2neg` `flip3-+` `diff-log` `clear-num` `associate-/r` `sum-log` `-commutative` `flip-+` `inv-pow`

Counts

4 → 90

Calls

4 calls:

9.0ms	(+ x (/ 1 (* 1 (- (* 1.1283791670955126 (/ (exp z) y)) x))))
5.0ms	(- (* 1.1283791670955126 (/ (exp z) y)) x)
15.0ms	(/ 1 (* 1 (- (* 1.1283791670955126 (/ (exp z) y)) x)))
9.0ms	(* 1.1283791670955126 (/ (exp z) y))

series162.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(+ x (/ 1 (* 1 (- (* 1.1283791670955126 (/ (exp z) y)) x))))
43.0ms	(- (* 1.1283791670955126 (/ (exp z) y)) x)
62.0ms	(/ 1 (* 1 (- (* 1.1283791670955126 (/ (exp z) y)) x)))
20.0ms	(* 1.1283791670955126 (/ (exp z) y))

simplify49.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	457	671
1	1849	595
2	5001	584

prune207.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* 1 (/ y (- (* 1.1283791670955126 (exp z)) (* x y)))))
0.0b	(* 1.1283791670955126 (exp z))
1.6b	(- (* 1.1283791670955126 (exp z)) (* x y))
8.7b	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
15×	`*-un-lft-identity`
14×	`add-cube-cbrt`
9×	`times-frac`
8×	`add-cbrt-cube` `add-log-exp`
7×	`add-exp-log`
6×	`pow1`
3×	`associate-r` `associate-l` `associate-/r` `associate-/l`
2×	`flip3--` `associate-/r/` `flip--`
1×	`cbrt-undiv` `+-commutative` `sub-neg` `frac-2neg` `flip3-+` `diff-log` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `div-inv` `distribute-lft-out` `unswap-sqr`

Counts

4 → 71

Calls

4 calls:

2.0ms	(+ x (* 1 (/ y (- (* 1.1283791670955126 (exp z)) (* x y)))))
5.0ms	(* 1.1283791670955126 (exp z))
4.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
9.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

series184.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(+ x (* 1 (/ y (- (* 1.1283791670955126 (exp z)) (* x y)))))
17.0ms	(* 1.1283791670955126 (exp z))
55.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
72.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify43.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	349	607
1	1361	559
2	5002	558

prune195.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes71.0ms

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	17	7
1	19	7
2	19	7

end0.0ms

sample691.0ms

Algorithm

intervals

Results

516.0ms

8002×

body

valid