Details

sample21.0ms

Algorithm

intervals

Results

11.0ms

345×

body

valid

simplify31.0ms

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

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`*-un-lft-identity`
5×	`associate-r`
4×	`pow1` `add-exp-log` `distribute-rgt-in` `add-cube-cbrt` `sub-neg` `associate-+r+` `distribute-lft-in` `add-cbrt-cube` `add-log-exp`
3×	`associate-l`
2×	`associate-*r/`
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 → 41

Calls

2 calls:

4.0ms	(+ (* x y) (* z (- 1.0 y)))
11.0ms	(* z (- 1.0 y))

series64.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(+ (* x y) (* z (- 1.0 y)))
33.0ms	(* z (- 1.0 y))

simplify97.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	194	208
1	748	188
2	3250	188
3	5001	188

prune79.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
4×	`sum-log`
2×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `distribute-rgt-neg-out` `add-cbrt-cube` `flip-+`
1×	`associate-+l+` `unsub-neg`

Counts

2 → 26

Calls

2 calls:

12.0ms	(+ (+ (* x y) (* 1.0 z)) (* z (- y)))
3.0ms	(+ (* x y) (* 1.0 z))

series57.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(+ (+ (* x y) (* 1.0 z)) (* z (- y)))
29.0ms	(+ (* x y) (* 1.0 z))

simplify109.0ms

Algorithm

egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	182	217
1	771	192
2	3601	184
3	5002	184

prune68.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x y) (/ (* z (- (* 1.0 1.0) (* y y))) (+ 1.0 y)))
3.1b	(* z (- (* 1.0 1.0) (* y y)))
5.7b	(/ (* z (- (* 1.0 1.0) (* y y))) (+ 1.0 y))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 63

Calls

3 calls:

10.0ms	(+ (* x y) (/ (* z (- (* 1.0 1.0) (* y y))) (+ 1.0 y)))
11.0ms	(* z (- (* 1.0 1.0) (* y y)))
11.0ms	(/ (* z (- (* 1.0 1.0) (* y y))) (+ 1.0 y))

series202.0ms

Counts

3 → 9

Calls

3 calls:

60.0ms	(+ (* x y) (/ (* z (- (* 1.0 1.0) (* y y))) (+ 1.0 y)))
58.0ms	(* z (- (* 1.0 1.0) (* y y)))
84.0ms	(/ (* z (- (* 1.0 1.0) (* y y))) (+ 1.0 y))

simplify56.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	379	555
1	1779	478
2	5002	475

prune150.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x y) (* 1.0 z))
0.0b	(sqrt (+ (* x y) (* 1.0 z)))
0.0b	(sqrt (+ (* x y) (* 1.0 z)))
0.3b	(* (sqrt (+ (* x y) (* 1.0 z))) (sqrt (+ (* x y) (* 1.0 z))))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
16×	`sqrt-div`
14×	`add-cube-cbrt` `*-un-lft-identity`
10×	`sqrt-pow1` `pow1/2`
9×	`flip3-+` `flip-+`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
5×	`pow-prod-up`
4×	`frac-times` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square` `associate-r/` `associate-l/`
1×	`+-commutative` `pow2` `pow-plus` `sqrt-unprod` `prod-exp` `sum-log` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 98

Calls

4 calls:

2.0ms	(+ (* x y) (* 1.0 z))
3.0ms	(sqrt (+ (* x y) (* 1.0 z)))
3.0ms	(sqrt (+ (* x y) (* 1.0 z)))
20.0ms	(* (sqrt (+ (* x y) (* 1.0 z))) (sqrt (+ (* x y) (* 1.0 z))))

series259.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(+ (* x y) (* 1.0 z))
96.0ms	(sqrt (+ (* x y) (* 1.0 z)))
101.0ms	(sqrt (+ (* x y) (* 1.0 z)))
32.0ms	(* (sqrt (+ (* x y) (* 1.0 z))) (sqrt (+ (* x y) (* 1.0 z))))

simplify49.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	270	798
1	1062	718
2	5001	694

prune213.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes72.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	6
1	21	6
2	22	6
3	22	6

end0.0ms

sample435.0ms

Algorithm

intervals

Results

235.0ms

10124×

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