Details

sample16.0ms

Algorithm

intervals

Results

6.0ms

335×

body

valid

simplify181.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	3
1	17	3
2	31	3
3	46	3
4	53	3
5	62	3
6	80	3
7	118	3
8	235	3
9	467	3
10	832	3
11	1212	3
12	1786	3
13	3407	3
14	5002	3

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite16.0ms

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:

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

series75.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(+ x (* y (- z x)))
42.0ms	(* y (- z x))

simplify85.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	172	180
1	731	165
2	3520	165
3	5001	165

prune73.0ms

Filtered

47 candidates to 29 candidates (61.7%)

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 26

Calls

2 calls:

2.0ms	(+ x (* z y))
10.0ms	(+ (+ x (* z y)) (* (- x) y))

series56.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(+ x (* z y))
31.0ms	(+ (+ x (* z y)) (* (- x) y))

simplify89.0ms

Algorithm

egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 3 (86.0ms)

Iter	Nodes	Cost
0	167	172
1	672	154
2	3123	150
3	5002	144

prune62.0ms

Filtered

32 candidates to 23 candidates (71.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(* y (- z x))
0.3b	(* (sqrt (* y (- z x))) (sqrt (* y (- z x))))
1.5b	(sqrt (* y (- z x)))
1.5b	(sqrt (* y (- z x)))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

61×	`pow1`
32×	`sqrt-pow1`
23×	`pow-prod-down`
20×	`associate-*r/`
16×	`add-sqr-sqrt` `sqrt-div`
12×	`*-un-lft-identity` `pow1/2`
10×	`add-cube-cbrt` `pow-prod-up`
9×	`flip3--` `associate-r` `flip--`
8×	`add-exp-log` `add-cbrt-cube`
7×	`associate-l`
6×	`sqrt-prod` `pow-sqr`
4×	`frac-times` `swap-sqr` `add-log-exp`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-l/` `prod-exp` `-commutative` `cbrt-unprod` `unswap-sqr`
1×	`pow2` `pow-plus` `sqrt-unprod` `rem-square-sqrt` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 109

Calls

4 calls:

10.0ms	(* y (- z x))
28.0ms	(* (sqrt (* y (- z x))) (sqrt (* y (- z x))))
3.0ms	(sqrt (* y (- z x)))
3.0ms	(sqrt (* y (- z x)))

series243.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(* y (- z x))
98.0ms	(* (sqrt (* y (- z x))) (sqrt (* y (- z x))))
52.0ms	(sqrt (* y (- z x)))
57.0ms	(sqrt (* y (- z x)))

simplify46.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	253	526
1	1151	473
2	5002	451

prune197.0ms

Filtered

121 candidates to 69 candidates (57.0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x y) (* x y))
2.6b	(+ (* (+ x (* z y)) (+ (* x y) (+ x (* z y)))) (* (* x y) (* x y)))
7.1b	(- (pow (+ x (* z y)) 3) (pow (* x y) 3))
40.4b	(/ (- (pow (+ x (* z y)) 3) (pow (* x y) 3)) (+ (* (+ x (* z y)) (+ (* x y) (+ x (* z y)))) (* (* x y) (* x y))))

rewrite145.0ms

Algorithm

rewrite-expression-head

Rules

72×	`add-sqr-sqrt`
43×	`pow1`
40×	`difference-of-squares`
39×	`times-frac`
32×	`*-un-lft-identity`
30×	`sqr-pow`
22×	`add-cube-cbrt`
18×	`add-exp-log` `add-cbrt-cube`
17×	`pow-prod-down`
13×	`associate-/l*`
10×	`unpow-prod-down` `cube-prod`
8×	`prod-exp` `cbrt-unprod` `add-log-exp`
5×	`difference-cubes` `distribute-lft-out--`
4×	`pow-sqr` `pow-prod-up`
3×	`associate-/r*`
2×	`associate-+l+` `flip3--` `flip3-+` `pow-plus` `associate-/r/` `flip--` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `pow2` `distribute-rgt-in` `sub-neg` `frac-2neg` `distribute-lft-in` `diff-log` `div-sub` `swap-sqr` `div-exp` `associate-r` `associate-l` `clear-num` `sum-log` `*-commutative` `div-inv`

Counts

4 → 141

Calls

4 calls:

10.0ms	(* (* x y) (* x y))
13.0ms	(+ (* (+ x (* z y)) (+ (* x y) (+ x (* z y)))) (* (* x y) (* x y)))
32.0ms	(- (pow (+ x (* z y)) 3) (pow (* x y) 3))
85.0ms	(/ (- (pow (+ x (* z y)) 3) (pow (* x y) 3)) (+ (* (+ x (* z y)) (+ (* x y) (+ x (* z y)))) (* (* x y) (* x y))))

series672.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(* (* x y) (* x y))
86.0ms	(+ (* (+ x (* z y)) (+ (* x y) (+ x (* z y)))) (* (* x y) (* x y)))
159.0ms	(- (pow (+ x (* z y)) 3) (pow (* x y) 3))
397.0ms	(/ (- (pow (+ x (* z y)) 3) (pow (* x y) 3)) (+ (* (+ x (* z y)) (+ (* x y) (+ x (* z y)))) (* (* x y) (* x y))))

simplify102.0ms

Algorithm

egg-herbie

Counts

153 → 153

Iterations

Useful iterations: 2 (77.0ms)

Iter	Nodes	Cost
0	573	2890
1	2611	2765
2	5001	2762

prune352.0ms

Filtered

153 candidates to 100 candidates (65.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes50.0ms

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	14	5
1	18	5
2	19	5
3	19	5

end0.0ms

sample378.0ms

Algorithm

intervals

Results

189.0ms

10140×

body

valid