Details

sample17.0ms

Algorithm

intervals

Results

7.0ms

335×

body

valid

simplify183.0ms

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

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite14.0ms

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)))
9.0ms	(* y (- z x))

series72.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(+ x (* y (- z x)))
43.0ms	(* y (- z x))

simplify92.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 1 (6.0ms)

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: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite9.0ms

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:

5.0ms	(+ x (+ (* y z) (* y (- x))))
4.0ms	(+ (* y z) (* y (- x)))

series63.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(+ x (+ (* y z) (* y (- x))))
35.0ms	(+ (* y z) (* y (- x)))

simplify106.0ms

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: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ x (+ (* y z) (* y (- x))))) (cbrt (+ x (+ (* y z) (* y (- x))))))
0.6b	(cbrt (+ x (+ (* y z) (* y (- x)))))
0.6b	(cbrt (+ x (+ (* y z) (* y (- x)))))
0.6b	(cbrt (+ x (+ (* y z) (* y (- x)))))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `swap-sqr` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 95

Calls

4 calls:

13.0ms	(* (cbrt (+ x (+ (* y z) (* y (- x))))) (cbrt (+ x (+ (* y z) (* y (- x))))))
5.0ms	(cbrt (+ x (+ (* y z) (* y (- x)))))
4.0ms	(cbrt (+ x (+ (* y z) (* y (- x)))))
5.0ms	(cbrt (+ x (+ (* y z) (* y (- x)))))

series997.0ms

Counts

4 → 12

Calls

4 calls:

242.0ms	(* (cbrt (+ x (+ (* y z) (* y (- x))))) (cbrt (+ x (+ (* y z) (* y (- x))))))
241.0ms	(cbrt (+ x (+ (* y z) (* y (- x)))))
239.0ms	(cbrt (+ x (+ (* y z) (* y (- x)))))
274.0ms	(cbrt (+ x (+ (* y z) (* y (- x)))))

simplify45.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	340	1697
1	1192	1599
2	5001	1457

prune282.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

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)))))
1.5b	(sqrt (+ (* y z) (* y (- x))))
1.5b	(sqrt (+ (* y z) (* y (- x))))

rewrite30.0ms

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:

4.0ms	(+ (* y z) (* y (- x)))
16.0ms	(* (sqrt (+ (* y z) (* y (- x)))) (sqrt (+ (* y z) (* y (- x)))))
3.0ms	(sqrt (+ (* y z) (* y (- x))))
4.0ms	(sqrt (+ (* y z) (* y (- x))))

series194.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(+ (* y z) (* y (- x)))
33.0ms	(* (sqrt (+ (* y z) (* y (- x)))) (sqrt (+ (* y z) (* y (- x)))))
66.0ms	(sqrt (+ (* y z) (* y (- x))))
58.0ms	(sqrt (+ (* y z) (* y (- x))))

simplify46.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 2 (36.0ms)

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

prune218.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes54.0ms

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

sample400.0ms

Algorithm

intervals

Results

200.0ms

10140×

body

valid