Details

sample15.0ms

Algorithm

intervals

Results

6.0ms

326×

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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite17.0ms

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))

series74.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(+ x (* y (- z x)))
46.0ms	(* y (- z x))

simplify86.0ms

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

prune74.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 30

Calls

2 calls:

7.0ms	(+ x (+ (* y z) (* y (- x))))
3.0ms	(+ (* y z) (* y (- x)))

series62.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify108.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 2 (23.0ms)

Iter	Nodes	Cost
0	181	209
1	786	168
2	3584	162
3	5001	162

prune64.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* y z) (* y (- x)))
0.3b	(* (sqrt (+ (* y z) (* y (- x)))) (sqrt (+ (* y z) (* y (- x)))))
2.3b	(sqrt (+ (* y z) (* y (- x))))
2.3b	(sqrt (+ (* y z) (* y (- x))))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

30×	`sqrt-prod`
28×	`add-sqr-sqrt`
21×	`pow1`
16×	`sqrt-div`
14×	`add-cube-cbrt` `*-un-lft-identity`
10×	`sqrt-pow1` `pow1/2`
9×	`flip3-+` `swap-sqr` `flip-+`
7×	`associate-r` `associate-l` `distribute-lft-out`
6×	`add-exp-log` `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/` `distribute-rgt-neg-out`
1×	`+-commutative` `pow2` `pow-plus` `sqrt-unprod` `unsub-neg` `prod-exp` `sum-log` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 106

Calls

4 calls:

3.0ms	(+ (* y z) (* y (- x)))
19.0ms	(* (sqrt (+ (* y z) (* y (- x)))) (sqrt (+ (* y z) (* y (- x)))))
3.0ms	(sqrt (+ (* y z) (* y (- x))))
4.0ms	(sqrt (+ (* y z) (* y (- x))))

series180.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(+ (* y z) (* y (- x)))
32.0ms	(* (sqrt (+ (* y z) (* y (- x)))) (sqrt (+ (* y z) (* y (- x)))))
56.0ms	(sqrt (+ (* y z) (* y (- x))))
58.0ms	(sqrt (+ (* y z) (* y (- x))))

simplify45.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	256	933
1	1145	813
2	5001	786

prune217.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (- z x))
0.0b	(+ x (* (* y (sqrt (- z x))) (sqrt (- z x))))
0.1b	(* y (sqrt (- z x)))
0.2b	(* (* y (sqrt (- z x))) (sqrt (- z x)))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
16×	`-un-lft-identity` `sqrt-div` `associate-r*` `sqrt-prod`
12×	`pow1`
11×	`add-exp-log` `add-cbrt-cube`
10×	`add-cube-cbrt` `associate-*r/`
8×	`flip3--` `flip--`
6×	`add-log-exp`
4×	`frac-times` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`distribute-lft-out--` `difference-of-squares`
2×	`associate-l/` `-commutative` `unswap-sqr`
1×	`+-commutative` `rem-sqrt-square` `sqrt-pow1` `flip3-+` `pow1/2` `sum-log` `flip-+`

Counts

4 → 85

Calls

4 calls:

4.0ms	(sqrt (- z x))
2.0ms	(+ x (* (* y (sqrt (- z x))) (sqrt (- z x))))
11.0ms	(* y (sqrt (- z x)))
24.0ms	(* (* y (sqrt (- z x))) (sqrt (- z x)))

series222.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(sqrt (- z x))
29.0ms	(+ x (* (* y (sqrt (- z x))) (sqrt (- z x))))
93.0ms	(* y (sqrt (- z x)))
37.0ms	(* (* y (sqrt (- z x))) (sqrt (- z x)))

simplify50.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	404	645
1	1696	538
2	5001	521

prune189.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes50.0ms

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	14	5
1	18	5
2	19	5
3	19	5

end0.0ms

sample392.0ms

Algorithm

intervals

Results

189.0ms

10155×

body

valid