Details

sample33.0ms

Algorithm

intervals

Results

20.0ms

256×

body

valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.8b

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))
0.4b	(- (* 1.1283791670955126 (exp z)) (* x y))
6.4b	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite35.0ms

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)))

series186.0ms

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))
75.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify46.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (37.0ms)

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

prune195.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b	(- x (/ 1 x))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
5×	`*-un-lft-identity`
3×	`add-log-exp` `difference-of-squares`
2×	`times-frac` `distribute-lft-out--`
1×	`pow1` `add-exp-log` `add-cube-cbrt` `sub-neg` `flip3--` `diff-log` `add-cbrt-cube` `flip--` `div-inv`

Counts

1 → 17

Calls

1 calls:

8.0ms

(- x (/ 1 x))

series27.0ms

Counts

1 → 3

Calls

1 calls:

27.0ms

(- x (/ 1 x))

simplify79.0ms

Algorithm

egg-herbie

Counts

20 → 20

Iterations

Useful iterations: 2 (11.0ms)

Iter	Nodes	Cost
0	82	90
1	229	85
2	1594	81
3	5001	81

prune28.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

1.0b	(+ (* 1.1283791670955126 (exp z)) (* x y))
3.4b	(- (* (* 1.1283791670955126 (exp z)) (* 1.1283791670955126 (exp z))) (* (* x y) (* x y)))
4.2b	(/ y (- (* (* 1.1283791670955126 (exp z)) (* 1.1283791670955126 (exp z))) (* (* x y) (* x y))))
17.2b	(* (/ y (- (* (* 1.1283791670955126 (exp z)) (* 1.1283791670955126 (exp z))) (* (* x y) (* x y)))) (+ (* 1.1283791670955126 (exp z)) (* x y)))

rewrite173.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
25×	`times-frac`
22×	`add-cube-cbrt` `*-un-lft-identity`
18×	`associate-l`
11×	`add-exp-log` `add-cbrt-cube`
8×	`add-log-exp` `difference-of-squares`
6×	`pow1`
4×	`associate-/r*` `associate-/r/`
3×	`flip3--` `flip3-+` `associate-r` `flip--` `flip-+` `associate-/l*`
2×	`cbrt-undiv` `frac-times` `associate-*r/` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
1×	`+-commutative` `distribute-rgt-in` `sub-neg` `frac-2neg` `distribute-lft-in` `diff-log` `pow-prod-down` `associate-l/` `clear-num` `sum-log` `-commutative`

Counts

4 → 100

Calls

4 calls:

4.0ms	(+ (* 1.1283791670955126 (exp z)) (* x y))
22.0ms	(- (* (* 1.1283791670955126 (exp z)) (* 1.1283791670955126 (exp z))) (* (* x y) (* x y)))
39.0ms	(/ y (- (* (* 1.1283791670955126 (exp z)) (* 1.1283791670955126 (exp z))) (* (* x y) (* x y))))
104.0ms	(* (/ y (- (* (* 1.1283791670955126 (exp z)) (* 1.1283791670955126 (exp z))) (* (* x y) (* x y)))) (+ (* 1.1283791670955126 (exp z)) (* x y)))

series349.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(+ (* 1.1283791670955126 (exp z)) (* x y))
133.0ms	(- (* (* 1.1283791670955126 (exp z)) (* 1.1283791670955126 (exp z))) (* (* x y) (* x y)))
58.0ms	(/ y (- (* (* 1.1283791670955126 (exp z)) (* 1.1283791670955126 (exp z))) (* (* x y) (* x y))))
109.0ms	(* (/ y (- (* (* 1.1283791670955126 (exp z)) (* 1.1283791670955126 (exp z))) (* (* x y) (* x y)))) (+ (* 1.1283791670955126 (exp z)) (* x y)))

simplify103.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 2 (84.0ms)

Iter	Nodes	Cost
0	605	1707
1	3073	1525
2	5002	1519

prune310.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes117.0ms

Accuracy

65.8% (1.0b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 2.8b

bsearch11.0ms

Steps

Iters	Range		Point
2	0.9112457575274094	0.9999994966631122	0.9223399749193723

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	9
1	21	9

end0.0ms

sample806.0ms

Algorithm

intervals

Results

635.0ms

8001×

body

valid