Details

sample27.0ms

Algorithm

intervals

Results

18.0ms

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: 2.6b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
0.0b	(* 1.1283791670955126 (exp z))
0.0b	(- (* 1.1283791670955126 (exp z)) (* x y))
10.7b	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite37.0ms

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:

18.0ms	(+ 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)))

series176.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
19.0ms	(* 1.1283791670955126 (exp z))
53.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
69.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify44.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (36.0ms)

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

prune205.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)))
0.0b	(- (* 1.1283791670955126 (exp z)) (* x y))
0.1b	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
10.6b	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

rewrite58.0ms

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:

25.0ms	(+ x (/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)))
4.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
13.0ms	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
12.0ms	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

series216.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(+ x (/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)))
57.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
47.0ms	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
71.0ms	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

simplify71.0ms

Algorithm

egg-herbie

Counts

143 → 143

Iterations

Useful iterations: 2 (54.0ms)

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

prune275.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

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))
0.2b	(/ (exp z) y)

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
24×	`add-exp-log`
22×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
16×	`add-cbrt-cube`
13×	`associate-r`
9×	`pow1`
8×	`div-exp` `prod-exp`
6×	`1-exp` `associate-/l*` `add-log-exp`
4×	`cbrt-undiv` `associate-/r*`
3×	`rec-exp` `associate-r/` `associate-l*` `cbrt-unprod` `div-inv`
2×	`flip3--` `pow-flip` `frac-2neg` `pow-prod-down` `clear-num` `associate-/r/` `flip--` `unswap-sqr`
1×	`sub-neg` `diff-log` `*-commutative` `inv-pow`

Counts

4 → 104

Calls

4 calls:

6.0ms	(- (* 1.1283791670955126 (/ (exp z) y)) x)
18.0ms	(/ 1 (* 1 (- (* 1.1283791670955126 (/ (exp z) y)) x)))
9.0ms	(* 1.1283791670955126 (/ (exp z) y))
3.0ms	(/ (exp z) y)

series139.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(- (* 1.1283791670955126 (/ (exp z) y)) x)
62.0ms	(/ 1 (* 1 (- (* 1.1283791670955126 (/ (exp z) y)) x)))
19.0ms	(* 1.1283791670955126 (/ (exp z) y))
16.0ms	(/ (exp z) y)

simplify52.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	423	668
1	1754	600
2	5001	586

prune257.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ y (- (exp (+ z (log 1.1283791670955126))) (* x y))))
0.0b	(- (exp (+ z (log 1.1283791670955126))) (* x y))
0.0b	(+ z (log 1.1283791670955126))
10.7b	(/ y (- (exp (+ z (log 1.1283791670955126))) (* x y)))

rewrite128.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 69

Calls

4 calls:

57.0ms	(+ x (/ y (- (exp (+ z (log 1.1283791670955126))) (* x y))))
32.0ms	(- (exp (+ z (log 1.1283791670955126))) (* x y))
3.0ms	(+ z (log 1.1283791670955126))
34.0ms	(/ y (- (exp (+ z (log 1.1283791670955126))) (* x y)))

series455.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(+ x (/ y (- (exp (+ z (log 1.1283791670955126))) (* x y))))
88.0ms	(- (exp (+ z (log 1.1283791670955126))) (* x y))
152.0ms	(+ z (log 1.1283791670955126))
141.0ms	(/ y (- (exp (+ z (log 1.1283791670955126))) (* x y)))

simplify148.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	346	673
1	1165	623
2	4594	614
3	5001	614

prune209.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes104.0ms

Accuracy

0% (0.0b 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	17	7
1	19	7
2	19	7

end0.0ms

sample736.0ms

Algorithm

intervals

Results

562.0ms

8000×

body

valid