Details

sample18.0ms

Algorithm

intervals

Results

7.0ms	317×	body	80	valid
0.0ms	4×	body	1280	valid
0.0ms	3×	body	640	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	160	valid

simplify9.0ms

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: 0.1b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite13.0ms

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:

6.0ms	(* x (+ y z))
6.0ms	(+ (* x (+ y z)) (* z 5.0))

series58.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(* x (+ y z))
33.0ms	(+ (* x (+ y z)) (* z 5.0))

simplify119.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 2 (31.0ms)

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

prune77.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite11.0ms

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:

6.0ms	(* z (+ x 5.0))
4.0ms	(+ (* x y) (* z (+ x 5.0)))

series61.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(* z (+ x 5.0))
29.0ms	(+ (* x y) (* z (+ x 5.0)))

simplify132.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 1 (9.0ms)

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

prune85.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.8b	(cbrt (+ x 5.0))
0.8b	(cbrt (+ x 5.0))
0.8b	(cbrt (+ x 5.0))
0.8b	(* (cbrt (+ x 5.0)) (cbrt (+ x 5.0)))

rewrite22.0ms

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:

3.0ms	(cbrt (+ x 5.0))
3.0ms	(cbrt (+ x 5.0))
3.0ms	(cbrt (+ x 5.0))
10.0ms	(* (cbrt (+ x 5.0)) (cbrt (+ x 5.0)))

series385.0ms

Counts

4 → 12

Calls

4 calls:

94.0ms	(cbrt (+ x 5.0))
90.0ms	(cbrt (+ x 5.0))
91.0ms	(cbrt (+ x 5.0))
110.0ms	(* (cbrt (+ x 5.0)) (cbrt (+ x 5.0)))

simplify158.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 3 (149.0ms)

Iter	Nodes	Cost
0	328	792
1	1085	748
2	4743	669
3	5002	665

prune316.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.8b	(* (cbrt (- x 5.0)) (cbrt (- x 5.0)))
3.6b	(/ (* (cbrt (- (* x x) (* 5.0 5.0))) (cbrt (- (* x x) (* 5.0 5.0)))) (* (cbrt (- x 5.0)) (cbrt (- x 5.0))))
7.6b	(cbrt (- (* x x) (* 5.0 5.0)))
7.6b	(cbrt (- (* x x) (* 5.0 5.0)))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

40×	`cbrt-div`
36×	`cbrt-prod`
30×	`add-sqr-sqrt`
28×	`*-un-lft-identity`
20×	`flip3--` `flip--`
18×	`add-exp-log`
14×	`add-cube-cbrt`
12×	`frac-times`
11×	`pow1`
10×	`swap-sqr`
8×	`pow1/3` `associate-r` `associate-l` `associate-/r/` `add-cbrt-cube` `associate-/l/`
6×	`associate-r/` `associate-l/` `distribute-lft-out--` `difference-of-squares`
5×	`prod-exp` `cbrt-unprod`
4×	`cbrt-undiv` `div-exp` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-2neg` `times-frac` `pow-plus` `clear-num` `associate-/r` `-commutative` `div-inv` `associate-/l*`

Counts

4 → 121

Calls

4 calls:

17.0ms	(* (cbrt (- x 5.0)) (cbrt (- x 5.0)))
20.0ms	(/ (* (cbrt (- (* x x) (* 5.0 5.0))) (cbrt (- (* x x) (* 5.0 5.0)))) (* (cbrt (- x 5.0)) (cbrt (- x 5.0))))
4.0ms	(cbrt (- (* x x) (* 5.0 5.0)))
4.0ms	(cbrt (- (* x x) (* 5.0 5.0)))

series716.0ms

Counts

4 → 12

Calls

4 calls:

128.0ms	(* (cbrt (- x 5.0)) (cbrt (- x 5.0)))
192.0ms	(/ (* (cbrt (- (* x x) (* 5.0 5.0))) (cbrt (- (* x x) (* 5.0 5.0)))) (* (cbrt (- x 5.0)) (cbrt (- x 5.0))))
198.0ms	(cbrt (- (* x x) (* 5.0 5.0)))
198.0ms	(cbrt (- (* x x) (* 5.0 5.0)))

simplify78.0ms

Algorithm

egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	609	1501
1	2558	1303
2	5001	1256

prune516.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes124.0ms

Accuracy

0% (0.1b 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

sample445.0ms

Algorithm

intervals

Results

214.0ms	9828×	body	80	valid
9.0ms	92×	body	1280	valid
8.0ms	108×	body	640	valid
4.0ms	71×	body	320	valid
1.0ms	38×	body	160	valid