Details

sample21.0ms

Algorithm

intervals

Results

10.0ms

302×

body

valid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	13	4
1	20	4
2	22	4
3	22	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 2.0) (* y x)) z)
0.0b	(+ (/ x 2.0) (* y x))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 25

Calls

2 calls:

36.0ms	(+ (+ (/ x 2.0) (* y x)) z)
8.0ms	(+ (/ x 2.0) (* y x))

series75.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(+ (+ (/ x 2.0) (* y x)) z)
45.0ms	(+ (/ x 2.0) (* y x))

simplify57.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 3 (54.0ms)

Iter	Nodes	Cost
0	163	180
1	542	168
2	1917	162
3	5001	160

prune66.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x (+ y 0.5)) z)
0.0b	(* x (+ y 0.5))

rewrite15.0ms

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:

5.0ms	(+ (* x (+ y 0.5)) z)
9.0ms	(* x (+ y 0.5))

series66.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(+ (* x (+ y 0.5)) z)
33.0ms	(* x (+ y 0.5))

simplify91.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 2 (24.0ms)

Iter	Nodes	Cost
0	195	166
1	755	151
2	3673	149
3	5002	149

prune74.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

8.0ms	(* (cbrt (* x (+ y 0.5))) (cbrt (* x (+ y 0.5))))
3.0ms	(cbrt (* x (+ y 0.5)))
3.0ms	(cbrt (* x (+ y 0.5)))
3.0ms	(cbrt (* x (+ y 0.5)))

series569.0ms

Counts

4 → 12

Calls

4 calls:

178.0ms	(* (cbrt (* x (+ y 0.5))) (cbrt (* x (+ y 0.5))))
130.0ms	(cbrt (* x (+ y 0.5)))
126.0ms	(cbrt (* x (+ y 0.5)))
134.0ms	(cbrt (* x (+ y 0.5)))

simplify44.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	416	920
1	1433	861
2	5001	770

prune259.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (* x (+ y 0.5)))
0.7b	(cbrt (cbrt (* x (+ y 0.5))))
0.7b	(cbrt (cbrt (* x (+ y 0.5))))
0.7b	(cbrt (cbrt (* x (+ y 0.5))))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

16×	`cbrt-prod`
14×	`cbrt-div`
8×	`associate-*r/`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `flip3-+` `pow1/3` `add-cbrt-cube` `flip-+` `add-log-exp`

Counts

4 → 53

Calls

4 calls:

3.0ms	(cbrt (* x (+ y 0.5)))
1.0ms	(cbrt (cbrt (* x (+ y 0.5))))
1.0ms	(cbrt (cbrt (* x (+ y 0.5))))
1.0ms	(cbrt (cbrt (* x (+ y 0.5))))

series807.0ms

Counts

4 → 12

Calls

4 calls:

126.0ms	(cbrt (* x (+ y 0.5)))
356.0ms	(cbrt (cbrt (* x (+ y 0.5))))
159.0ms	(cbrt (cbrt (* x (+ y 0.5))))
165.0ms	(cbrt (cbrt (* x (+ y 0.5))))

simplify89.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 2 (23.0ms)

Iter	Nodes	Cost
0	343	795
1	1001	743
2	3652	680
3	5002	680

prune276.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes93.0ms

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	10	3
1	10	3

end0.0ms

sample422.0ms

Algorithm

intervals

Results

232.0ms

9179×

body

valid