Details

sample36.0ms

Algorithm

intervals

Results

25.0ms

335×

body

valid

simplify13.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	6
1	29	6
2	42	6
3	49	6
4	55	6
5	61	6
6	63	6
7	63	6

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.7b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (/ (+ x 4.0) y) (* (/ x y) z))
0.0b	(/ (+ x 4.0) y)
2.7b	(* (/ x y) z)

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

56×	`*-un-lft-identity`
46×	`times-frac`
41×	`add-sqr-sqrt`
36×	`add-cube-cbrt`
16×	`fma-neg` `prod-diff`
13×	`associate-l`
10×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out`
5×	`pow1` `add-log-exp`
4×	`div-inv` `associate-/l*`
3×	`expm1-log1p-u` `associate-r` `associate-l/` `associate-/r` `log1p-expm1-u`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `associate-/l/` `unswap-sqr`
1×	`sub-neg` `flip3--` `frac-2neg` `flip3-+` `diff-log` `pow-prod-down` `clear-num` `*-commutative` `frac-sub` `flip--` `flip-+` `sub-div`

Counts

3 → 117

Calls

3 calls:

32.0ms	(- (/ (+ x 4.0) y) (* (/ x y) z))
8.0ms	(/ (+ x 4.0) y)
8.0ms	(* (/ x y) z)

series92.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(- (/ (+ x 4.0) y) (* (/ x y) z))
25.0ms	(/ (+ x 4.0) y)
24.0ms	(* (/ x y) z)

simplify48.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	399	743
1	1422	683
2	5001	668

prune429.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (fma 4.0 (/ 1 y) (/ x y)) (* (/ x y) z))
0.0b	(fma 4.0 (/ 1 y) (/ x y))
2.7b	(* (/ x y) z)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 65

Calls

3 calls:

2.0ms	(- (fma 4.0 (/ 1 y) (/ x y)) (* (/ x y) z))
0.0ms	(fma 4.0 (/ 1 y) (/ x y))
8.0ms	(* (/ x y) z)

series98.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(- (fma 4.0 (/ 1 y) (/ x y)) (* (/ x y) z))
32.0ms	(fma 4.0 (/ 1 y) (/ x y))
21.0ms	(* (/ x y) z)

simplify110.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 3 (104.0ms)

Iter	Nodes	Cost
0	248	404
1	954	367
2	4828	355
3	5001	346

prune195.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.7b	(* (/ (cbrt x) y) z)
3.7b	(* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt x) y) z))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

66×	`add-exp-log`
35×	`add-cbrt-cube`
33×	`prod-exp`
30×	`add-sqr-sqrt`
29×	`associate-l`
23×	`times-frac`
22×	`add-cube-cbrt` `*-un-lft-identity`
20×	`cbrt-unprod`
18×	`div-exp`
16×	`cbrt-prod`
11×	`pow1`
10×	`cbrt-undiv`
6×	`1-exp`
4×	`expm1-log1p-u` `associate-r` `pow-prod-down` `associate-*l/` `log1p-expm1-u` `add-log-exp`
3×	`unswap-sqr`
2×	`pow1/3` `*-commutative` `div-inv`
1×	`frac-times` `associate-*r/`

Counts

4 → 117

Calls

4 calls:

0.0ms	(cbrt x)
0.0ms	(cbrt x)
11.0ms	(* (/ (cbrt x) y) z)
27.0ms	(* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt x) y) z))

series505.0ms

Counts

4 → 12

Calls

4 calls:

174.0ms	(cbrt x)
171.0ms	(cbrt x)
116.0ms	(* (/ (cbrt x) y) z)
44.0ms	(* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt x) y) z))

simplify71.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	479	791
1	2318	609
2	5002	552

prune319.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (/ (+ x 4.0) y) (/ (* x z) y))
0.0b	(/ (+ x 4.0) y)
7.7b	(/ (* x z) y)

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

168×	`*-un-lft-identity`
160×	`times-frac`
115×	`add-sqr-sqrt`
112×	`prod-diff`
110×	`add-cube-cbrt`
28×	`div-inv` `distribute-lft-out`
16×	`fma-neg`
10×	`add-exp-log` `add-cbrt-cube`
6×	`associate-/r*`
5×	`associate-/l*` `add-log-exp`
3×	`pow1` `cbrt-undiv` `expm1-log1p-u` `div-exp` `log1p-expm1-u`
2×	`frac-2neg` `clear-num` `associate-/l/` `difference-of-squares`
1×	`sub-neg` `flip3--` `distribute-rgt-out--` `flip3-+` `diff-log` `prod-exp` `frac-sub` `flip--` `cbrt-unprod` `flip-+` `distribute-lft-out--` `sub-div`

Counts

3 → 206

Calls

3 calls:

37.0ms	(- (/ (+ x 4.0) y) (/ (* x z) y))
7.0ms	(/ (+ x 4.0) y)
3.0ms	(/ (* x z) y)

series90.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(- (/ (+ x 4.0) y) (/ (* x z) y))
26.0ms	(/ (+ x 4.0) y)
19.0ms	(/ (* x z) y)

simplify75.0ms

Algorithm

egg-herbie

Counts

215 → 215

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	589	3240
1	2058	2330
2	5001	2301

prune334.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes59.0ms

Accuracy

0% (1.6b remaining)

Error of 1.7b against oracle of 0.0b and baseline of 1.7b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	7
1	14	7

end0.0ms

sample1.0s

Algorithm

intervals

Results

780.0ms

10135×

body

valid