Details

sample23.0ms

Algorithm

intervals

Results

11.0ms

319×

body

valid

simplify88.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 7 (36.0ms)

Iter	Nodes	Cost
0	22	6
1	46	6
2	111	6
3	237	6
4	405	6
5	595	6
6	919	6
7	2627	5
8	5001	5

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ 1.0 (* 4.0 (+ 0.75 (/ (- x z) y))))
0.0b	(+ 0.75 (/ (- x z) y))
0.0b	(/ (- x z) y)

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

23×	`*-un-lft-identity`
21×	`add-sqr-sqrt`
15×	`times-frac`
13×	`add-cube-cbrt`
7×	`add-log-exp`
5×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
4×	`distribute-lft-out--` `difference-of-squares`
3×	`pow1` `associate-/r*`
2×	`+-commutative` `associate-+r+` `flip3-+` `div-sub` `sum-log` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `distribute-rgt-in` `associate-+r-` `flip3--` `frac-2neg` `distribute-lft-in` `div-exp` `clear-num` `flip--` `div-inv` `distribute-lft-out`

Counts

3 → 64

Calls

3 calls:

3.0ms	(+ 1.0 (* 4.0 (+ 0.75 (/ (- x z) y))))
8.0ms	(+ 0.75 (/ (- x z) y))
6.0ms	(/ (- x z) y)

series70.0ms

Counts

3 → 9

Calls

3 calls:

30.0ms	(+ 1.0 (* 4.0 (+ 0.75 (/ (- x z) y))))
15.0ms	(+ 0.75 (/ (- x z) y))
26.0ms	(/ (- x z) y)

simplify33.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	325	399
1	1056	367
2	5001	367

prune155.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ 0.75 (- (/ x y) (/ z y)))
0.0b	(+ 1.0 (* 4.0 (+ 0.75 (- (/ x y) (/ z y)))))
0.0b	(- (/ x y) (/ z y))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

18×	`*-un-lft-identity`
17×	`add-sqr-sqrt`
12×	`add-log-exp`
10×	`times-frac`
5×	`add-cube-cbrt` `distribute-lft-out--`
4×	`associate-+r+` `difference-of-squares`
3×	`pow1` `add-exp-log` `sum-log` `add-cbrt-cube`
2×	`+-commutative` `sub-neg` `flip3-+` `diff-log` `flip-+` `div-inv` `distribute-lft-out`
1×	`distribute-rgt-in` `associate-+r-` `flip3--` `distribute-rgt-out--` `distribute-lft-in` `frac-sub` `flip--` `sub-div`

Counts

3 → 53

Calls

3 calls:

15.0ms	(+ 0.75 (- (/ x y) (/ z y)))
3.0ms	(+ 1.0 (* 4.0 (+ 0.75 (- (/ x y) (/ z y)))))
13.0ms	(- (/ x y) (/ z y))

series62.0ms

Counts

3 → 9

Calls

3 calls:

14.0ms	(+ 0.75 (- (/ x y) (/ z y)))
25.0ms	(+ 1.0 (* 4.0 (+ 0.75 (- (/ x y) (/ z y)))))
23.0ms	(- (/ x y) (/ z y))

simplify31.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	285	399
1	943	373
2	5001	373

prune141.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 0.75 (/ 1 (/ y (- x z))))
0.0b	(+ 1.0 (* 4.0 (+ 0.75 (/ 1 (/ y (- x z))))))
0.0b	(/ y (- x z))
0.5b	(/ 1 (/ y (- x z)))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

138×	`times-frac`
107×	`*-un-lft-identity`
104×	`add-sqr-sqrt`
72×	`add-cube-cbrt`
26×	`associate-/r*`
17×	`add-exp-log`
16×	`distribute-lft-out--` `difference-of-squares`
11×	`associate-/r/` `add-cbrt-cube`
8×	`div-exp` `add-log-exp`
7×	`div-inv`
6×	`associate-/l*`
5×	`pow1` `flip3--` `flip--`
4×	`cbrt-undiv`
2×	`+-commutative` `rec-exp` `associate-+r+` `frac-2neg` `flip3-+` `1-exp` `clear-num` `sum-log` `flip-+` `distribute-lft-out`
1×	`distribute-rgt-in` `pow-flip` `distribute-lft-in` `inv-pow`

Counts

4 → 171

Calls

4 calls:

22.0ms	(+ 0.75 (/ 1 (/ y (- x z))))
3.0ms	(+ 1.0 (* 4.0 (+ 0.75 (/ 1 (/ y (- x z))))))
5.0ms	(/ y (- x z))
9.0ms	(/ 1 (/ y (- x z)))

series98.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(+ 0.75 (/ 1 (/ y (- x z))))
26.0ms	(+ 1.0 (* 4.0 (+ 0.75 (/ 1 (/ y (- x z))))))
27.0ms	(/ y (- x z))
32.0ms	(/ 1 (/ y (- x z)))

simplify55.0ms

Algorithm

egg-herbie

Counts

183 → 183

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	601	1286
1	2608	1045
2	5001	1030

prune293.0ms

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	(+ 1.0 (/ (* 4.0 (- (+ x (* y 0.75)) z)) y))
0.0b	(- (+ x (* y 0.75)) z)
0.0b	(+ x (* y 0.75))
0.3b	(/ (* 4.0 (- (+ x (* y 0.75)) z)) y)

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 62

Calls

4 calls:

6.0ms	(+ 1.0 (/ (* 4.0 (- (+ x (* y 0.75)) z)) y))
5.0ms	(- (+ x (* y 0.75)) z)
3.0ms	(+ x (* y 0.75))
9.0ms	(/ (* 4.0 (- (+ x (* y 0.75)) z)) y)

series109.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(+ 1.0 (/ (* 4.0 (- (+ x (* y 0.75)) z)) y))
21.0ms	(- (+ x (* y 0.75)) z)
24.0ms	(+ x (* y 0.75))
39.0ms	(/ (* 4.0 (- (+ x (* y 0.75)) z)) y)

simplify38.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	352	474
1	1391	432
2	5002	426

prune158.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes76.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	6
1	15	6

end0.0ms

sample531.0ms

Algorithm

intervals

Results

325.0ms

10123×

body

valid