Details

sample18.0ms

Algorithm

intervals

Results

7.0ms

281×

body

valid

simplify13.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	5
1	37	5
2	61	5
3	91	5
4	115	5
5	121	5
6	121	5

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.2b

localize7.0ms

Local error

Found 2 expressions with local error:

2.9b	(* y (+ 1.0 (* z z)))
3.2b	(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

31×	`times-frac`
20×	`add-sqr-sqrt`
18×	`add-cube-cbrt` `*-un-lft-identity`
16×	`add-exp-log` `add-cbrt-cube`
13×	`associate-/l*`
6×	`cbrt-undiv` `div-exp`
4×	`pow1` `associate-*r/`
3×	`associate-r` `associate-l` `prod-exp` `cbrt-unprod` `div-inv`
2×	`flip3-+` `associate-/r/` `flip-+` `add-log-exp`
1×	`distribute-rgt-in` `frac-2neg` `distribute-lft-in` `pow-prod-down` `clear-num` `associate-/r` `-commutative` `associate-/l/` `unswap-sqr`

Counts

2 → 70

Calls

2 calls:

17.0ms	(* y (+ 1.0 (* z z)))
15.0ms	(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))

series111.0ms

Counts

2 → 6

Calls

2 calls:

53.0ms	(* y (+ 1.0 (* z z)))
58.0ms	(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))

simplify45.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	409	511
1	1963	443
2	5001	443

prune145.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 2.8b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* y 1.0) (* y (* z z)))
3.2b	(/ (/ 1.0 x) (+ (* y 1.0) (* y (* z z))))
7.5b	(* y (* z z))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

97×	`times-frac`
54×	`add-sqr-sqrt`
53×	`add-cube-cbrt` `*-un-lft-identity`
15×	`distribute-lft-out`
13×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
8×	`pow1`
6×	`div-inv`
5×	`add-log-exp`
4×	`associate-/r*`
3×	`cbrt-undiv` `div-exp` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`flip3-+` `associate-/r/` `flip-+`
1×	`+-commutative` `frac-2neg` `associate-r` `clear-num` `sum-log` `*-commutative` `associate-/l/` `unswap-sqr`

Counts

3 → 117

Calls

3 calls:

8.0ms	(+ (* y 1.0) (* y (* z z)))
16.0ms	(/ (/ 1.0 x) (+ (* y 1.0) (* y (* z z))))
17.0ms	(* y (* z z))

series159.0ms

Counts

3 → 9

Calls

3 calls:

58.0ms	(+ (* y 1.0) (* y (* z z)))
73.0ms	(/ (/ 1.0 x) (+ (* y 1.0) (* y (* z z))))
27.0ms	(* y (* z z))

simplify60.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	575	1202
1	2378	1121
2	5001	1118

prune275.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 1.9b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* y 1.0) (* (* y z) z))
0.1b	(* (* y z) z)
3.2b	(/ (/ 1.0 x) (+ (* y 1.0) (* (* y z) z)))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

75×	`times-frac`
46×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
13×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
8×	`pow1`
5×	`div-inv` `add-log-exp`
3×	`cbrt-undiv` `div-exp` `associate-r` `pow-prod-down` `prod-exp` `associate-/r*` `cbrt-unprod`
2×	`flip3-+` `associate-/r/` `flip-+`
1×	`+-commutative` `frac-2neg` `associate-l` `clear-num` `sum-log` `*-commutative` `associate-/l/`

Counts

3 → 101

Calls

3 calls:

8.0ms	(+ (* y 1.0) (* (* y z) z))
16.0ms	(* (* y z) z)
19.0ms	(/ (/ 1.0 x) (+ (* y 1.0) (* (* y z) z)))

series161.0ms

Counts

3 → 9

Calls

3 calls:

59.0ms	(+ (* y 1.0) (* (* y z) z))
27.0ms	(* (* y z) z)
75.0ms	(/ (/ 1.0 x) (+ (* y 1.0) (* (* y z) z)))

simplify62.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	525	1102
1	2375	1002
2	5002	999

prune251.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 1.9b

localize13.0ms

Local error

Found 4 expressions with local error:

3.2b	(/ (/ 1.0 x) (+ (* y 1.0) (* (* y z) z)))
17.7b	(cbrt (/ (/ 1.0 x) (+ (* y 1.0) (* (* y z) z))))
17.7b	(cbrt (/ (/ 1.0 x) (+ (* y 1.0) (* (* y z) z))))
17.7b	(cbrt (/ (/ 1.0 x) (+ (* y 1.0) (* (* y z) z))))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

273×	`times-frac`
151×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
135×	`cbrt-prod`
17×	`div-inv`
13×	`associate-/l*`
9×	`add-exp-log` `add-cbrt-cube`
8×	`associate-/r/`
4×	`pow1` `flip3-+` `flip-+` `add-log-exp`
3×	`cbrt-undiv` `cbrt-div` `pow1/3` `div-exp` `associate-/r*`
1×	`frac-2neg` `clear-num` `associate-/l/`

Counts

4 → 234

Calls

4 calls:

17.0ms	(/ (/ 1.0 x) (+ (* y 1.0) (* (* y z) z)))
9.0ms	(cbrt (/ (/ 1.0 x) (+ (* y 1.0) (* (* y z) z))))
11.0ms	(cbrt (/ (/ 1.0 x) (+ (* y 1.0) (* (* y z) z))))
9.0ms	(cbrt (/ (/ 1.0 x) (+ (* y 1.0) (* (* y z) z))))

series564.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(/ (/ 1.0 x) (+ (* y 1.0) (* (* y z) z)))
162.0ms	(cbrt (/ (/ 1.0 x) (+ (* y 1.0) (* (* y z) z))))
159.0ms	(cbrt (/ (/ 1.0 x) (+ (* y 1.0) (* (* y z) z))))
169.0ms	(cbrt (/ (/ 1.0 x) (+ (* y 1.0) (* (* y z) z))))

simplify76.0ms

Algorithm

egg-herbie

Counts

246 → 246

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	612	3823
1	2191	3706
2	5001	3685

prune915.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 1.9b

regimes147.0ms

Accuracy

0% (1.7b remaining)

Error of 3.9b against oracle of 2.2b and baseline of 3.9b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	6
1	14	6

end0.0ms

sample460.0ms

Algorithm

intervals

Results

227.0ms

8666×

body

valid