Details

sample17.0ms

Algorithm

intervals

Results

7.0ms

330×

body

valid

simplify30.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	13	4
1	20	4
2	34	4
3	49	4
4	57	4
5	69	4
6	90	4
7	127	4
8	176	4
9	304	4
10	439	4
11	449	4
12	449	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- 1.0 x) y)
0.0b	(+ (* (- 1.0 x) y) (* x z))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`*-un-lft-identity`
5×	`associate-l`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube` `add-log-exp`
3×	`associate-r`
2×	`associate-*l/`
1×	`+-commutative` `flip3--` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `flip--` `cbrt-unprod` `flip-+` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 33

Calls

2 calls:

10.0ms	(* (- 1.0 x) y)
6.0ms	(+ (* (- 1.0 x) y) (* x z))

series68.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(* (- 1.0 x) y)
34.0ms	(+ (* (- 1.0 x) y) (* x z))

simplify107.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	184	181
1	787	167
2	4082	166
3	5001	166

prune80.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x x) (* 1.0 x))
0.0b	(+ (/ (* (- (pow 1.0 3) (pow x 3)) y) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x)))) (* x z))
2.6b	(* (- (pow 1.0 3) (pow x 3)) y)
12.6b	(/ (* (- (pow 1.0 3) (pow x 3)) y) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))

rewrite176.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 90

Calls

4 calls:

3.0ms	(+ (* x x) (* 1.0 x))
67.0ms	(+ (/ (* (- (pow 1.0 3) (pow x 3)) y) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x)))) (* x z))
60.0ms	(* (- (pow 1.0 3) (pow x 3)) y)
43.0ms	(/ (* (- (pow 1.0 3) (pow x 3)) y) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))

series262.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(+ (* x x) (* 1.0 x))
89.0ms	(+ (/ (* (- (pow 1.0 3) (pow x 3)) y) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x)))) (* x z))
37.0ms	(* (- (pow 1.0 3) (pow x 3)) y)
81.0ms	(/ (* (- (pow 1.0 3) (pow x 3)) y) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))

simplify68.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	515	896
1	2414	801
2	5001	795

prune280.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(* y (- 1.0 x))
0.0b	(+ (* x z) (* y (- 1.0 x)))
0.1b	(pow (+ (* x z) (* y (- 1.0 x))) 3)
40.8b	(cbrt (pow (+ (* x z) (* y (- 1.0 x))) 3))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
14×	`*-un-lft-identity`
12×	`cbrt-prod` `add-cube-cbrt`
7×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`unpow-prod-down` `cube-prod` `add-log-exp`
5×	`associate-r`
4×	`cube-div` `distribute-rgt-in` `sub-neg` `associate-+r+` `distribute-lft-in`
3×	`pow-unpow` `flip3-+` `associate-l` `flip-+`
2×	`cube-mult` `cbrt-div` `unpow3` `associate-*r/` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `flip3--` `pow-pow` `pow1/3` `pow-prod-down` `pow-exp` `prod-exp` `sum-log` `*-commutative` `flip--` `rem-cbrt-cube` `cbrt-unprod` `distribute-lft-out--` `rem-cube-cbrt` `difference-of-squares` `unswap-sqr`

Counts

4 → 89

Calls

4 calls:

10.0ms	(* y (- 1.0 x))
3.0ms	(+ (* x z) (* y (- 1.0 x)))
4.0ms	(pow (+ (* x z) (* y (- 1.0 x))) 3)
7.0ms	(cbrt (pow (+ (* x z) (* y (- 1.0 x))) 3))

series205.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(* y (- 1.0 x))
34.0ms	(+ (* x z) (* y (- 1.0 x)))
85.0ms	(pow (+ (* x z) (* y (- 1.0 x))) 3)
30.0ms	(cbrt (pow (+ (* x z) (* y (- 1.0 x))) 3))

simplify66.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	336	639
1	1712	603
2	5001	597

prune179.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* x z) (* y (- 1.0 x))) (+ (* x z) (* y (- 1.0 x))))
0.3b	(* (cbrt (* (+ (* x z) (* y (- 1.0 x))) (+ (* x z) (* y (- 1.0 x))))) (cbrt (+ (* x z) (* y (- 1.0 x)))))
0.5b	(cbrt (+ (* x z) (* y (- 1.0 x))))
30.0b	(cbrt (* (+ (* x z) (* y (- 1.0 x))) (+ (* x z) (* y (- 1.0 x)))))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

52×	`cbrt-div`
40×	`flip3-+` `flip-+`
36×	`frac-times`
20×	`add-sqr-sqrt`
18×	`associate-*l/`
13×	`pow1` `cbrt-prod`
12×	`add-cube-cbrt` `-un-lft-identity` `associate-r/`
9×	`associate-r`
8×	`add-exp-log`
7×	`associate-l`
6×	`add-cbrt-cube`
5×	`unswap-sqr`
4×	`pow1/3` `add-log-exp`
3×	`swap-sqr` `pow-prod-down`
2×	`prod-exp` `*-commutative` `cbrt-unprod`
1×	`pow2` `distribute-rgt-in` `distribute-lft-in` `pow-plus` `pow3` `pow-sqr` `pow-prod-up`

Counts

4 → 118

Calls

4 calls:

18.0ms	(* (+ (* x z) (* y (- 1.0 x))) (+ (* x z) (* y (- 1.0 x))))
20.0ms	(* (cbrt (* (+ (* x z) (* y (- 1.0 x))) (+ (* x z) (* y (- 1.0 x))))) (cbrt (+ (* x z) (* y (- 1.0 x)))))
2.0ms	(cbrt (+ (* x z) (* y (- 1.0 x))))
6.0ms	(cbrt (* (+ (* x z) (* y (- 1.0 x))) (+ (* x z) (* y (- 1.0 x)))))

series465.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(* (+ (* x z) (* y (- 1.0 x))) (+ (* x z) (* y (- 1.0 x))))
30.0ms	(* (cbrt (* (+ (* x z) (* y (- 1.0 x))) (+ (* x z) (* y (- 1.0 x))))) (cbrt (+ (* x z) (* y (- 1.0 x)))))
152.0ms	(cbrt (+ (* x z) (* y (- 1.0 x))))
225.0ms	(cbrt (* (+ (* x z) (* y (- 1.0 x))) (+ (* x z) (* y (- 1.0 x)))))

simplify80.0ms

Algorithm

egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	575	2621
1	2185	2485
2	5003	2408

prune333.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.0b

regimes130.0ms

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	11	4
1	11	4

end0.0ms

sample622.0ms

Algorithm

intervals

Results

412.0ms

10131×

body

valid

Iter	Nodes	Cost
0	13	4
1	20	4
2	34	4
3	49	4
4	57	4
5	69	4
6	90	4
7	127	4
8	176	4
9	304	4
10	439	4
11	449	4
12	449	4

Iter	Nodes	Cost
0	13	4
1	20	4
2	34	4
3	49	4
4	57	4
5	69	4
6	90	4
7	127	4
8	176	4
9	304	4
10	439	4
11	449	4
12	449	4

Iter	Nodes	Cost
0	13	4
1	20	4
2	34	4
3	49	4
4	57	4
5	69	4
6	90	4
7	127	4
8	176	4
9	304	4
10	439	4
11	449	4
12	449	4