Details

sample19.0ms

Algorithm

intervals

Results

7.0ms	327×	body	80	valid
0.0ms	2×	body	1280	valid
0.0ms	2×	body	640	valid
0.0ms	1×	body	320	valid

simplify8.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	18	4
1	28	4
2	38	4
3	41	4
4	41	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))
0.0b	(+ (* x (+ y z)) (* z 5.0))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 36

Calls

2 calls:

19.0ms	(* x (+ y z))
15.0ms	(+ (* x (+ y z)) (* z 5.0))

series46.0ms

Counts

2 → 6

Calls

2 calls:

22.0ms	(* x (+ y z))
25.0ms	(+ (* x (+ y z)) (* z 5.0))

simplify117.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	212	186
1	877	169
2	4182	168
3	5001	168

prune72.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* z (+ x 5.0))
0.0b	(+ (* x y) (* z (+ x 5.0)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 36

Calls

2 calls:

21.0ms	(* z (+ x 5.0))
8.0ms	(+ (* x y) (* z (+ x 5.0)))

series51.0ms

Counts

2 → 6

Calls

2 calls:

26.0ms	(* z (+ x 5.0))
24.0ms	(+ (* x y) (* z (+ x 5.0)))

simplify126.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	209	182
1	941	168
2	4786	168
3	5001	168

prune78.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(* (cbrt z) (cbrt z))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)
10.0ms	(* (cbrt z) (cbrt z))

series697.0ms

Counts

4 → 12

Calls

4 calls:

171.0ms	(cbrt z)
169.0ms	(cbrt z)
167.0ms	(cbrt z)
189.0ms	(* (cbrt z) (cbrt z))

simplify88.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (83.0ms)

Iter	Nodes	Cost
0	115	288
1	479	261
2	2963	238
3	5002	235

prune202.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x x) (- (* 5.0 5.0) (* x 5.0)))
0.0b	(+ (* x y) (/ (* z (+ (pow x 3) (pow 5.0 3))) (+ (* x x) (- (* 5.0 5.0) (* x 5.0)))))
2.9b	(* z (+ (pow x 3) (pow 5.0 3)))
11.5b	(/ (* z (+ (pow x 3) (pow 5.0 3))) (+ (* x x) (- (* 5.0 5.0) (* x 5.0))))

rewrite198.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 79

Calls

4 calls:

18.0ms	(+ (* x x) (- (* 5.0 5.0) (* x 5.0)))
54.0ms	(+ (* x y) (/ (* z (+ (pow x 3) (pow 5.0 3))) (+ (* x x) (- (* 5.0 5.0) (* x 5.0)))))
67.0ms	(* z (+ (pow x 3) (pow 5.0 3)))
57.0ms	(/ (* z (+ (pow x 3) (pow 5.0 3))) (+ (* x x) (- (* 5.0 5.0) (* x 5.0))))

series313.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(+ (* x x) (- (* 5.0 5.0) (* x 5.0)))
80.0ms	(+ (* x y) (/ (* z (+ (pow x 3) (pow 5.0 3))) (+ (* x x) (- (* 5.0 5.0) (* x 5.0)))))
81.0ms	(* z (+ (pow x 3) (pow 5.0 3)))
133.0ms	(/ (* z (+ (pow x 3) (pow 5.0 3))) (+ (* x x) (- (* 5.0 5.0) (* x 5.0))))

simplify71.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	459	856
1	2374	746
2	5002	739

prune255.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes71.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	4
1	12	4

end0.0ms

sample502.0ms

Algorithm

intervals

Results

214.0ms	9767×	body	80	valid
11.0ms	118×	body	1280	valid
8.0ms	103×	body	640	valid
3.0ms	51×	body	320	valid
1.0ms	30×	body	160	valid