Details

sample16.0ms

Algorithm

intervals

Results

7.0ms

299×

body

valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	4
1	20	4
2	22	4
3	22	4

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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))

rewrite47.0ms

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:

39.0ms	(+ (+ (/ x 2.0) (* y x)) z)
8.0ms	(+ (/ x 2.0) (* y x))

series73.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(+ (+ (/ x 2.0) (* y x)) z)
41.0ms	(+ (/ x 2.0) (* y x))

simplify49.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 3 (46.0ms)

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

prune57.0ms

Filtered

31 candidates to 22 candidates (71.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 13

Calls

1 calls:

5.0ms

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

series29.0ms

Counts

1 → 3

Calls

1 calls:

29.0ms

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

simplify43.0ms

Algorithm

egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 2 (11.0ms)

Iter	Nodes	Cost
0	98	85
1	310	75
2	1699	73
3	5001	73

prune32.0ms

Filtered

16 candidates to 12 candidates (75.0%)

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
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 → 87

Calls

4 calls:

37.0ms	(* (cbrt (+ (* x (+ y 0.5)) z)) (cbrt (+ (* x (+ y 0.5)) z)))
4.0ms	(cbrt (+ (* x (+ y 0.5)) z))
4.0ms	(cbrt (+ (* x (+ y 0.5)) z))
4.0ms	(cbrt (+ (* x (+ y 0.5)) z))

series593.0ms

Counts

4 → 12

Calls

4 calls:

209.0ms	(* (cbrt (+ (* x (+ y 0.5)) z)) (cbrt (+ (* x (+ y 0.5)) z)))
132.0ms	(cbrt (+ (* x (+ y 0.5)) z))
125.0ms	(cbrt (+ (* x (+ y 0.5)) z))
127.0ms	(cbrt (+ (* x (+ y 0.5)) z))

simplify46.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	391	1222
1	1419	1153
2	5001	1065

prune281.0ms

Filtered

99 candidates to 75 candidates (75.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ (* x (+ y 0.5)) z))
0.6b	(cbrt (- (* x (+ y 0.5)) z))
2.6b	(- (* (* x (+ y 0.5)) (* x (+ y 0.5))) (* z z))
30.9b	(cbrt (- (* (* x (+ y 0.5)) (* x (+ y 0.5))) (* z z)))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

10×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`cbrt-div` `add-log-exp`
4×	`pow1` `add-exp-log` `distribute-rgt-in` `distribute-lft-in` `associate--l+` `add-cbrt-cube`
3×	`flip3--` `pow1/3` `flip--`
2×	`difference-of-squares`
1×	`sub-neg` `flip3-+` `diff-log` `flip-+`

Counts

4 → 57

Calls

4 calls:

4.0ms	(cbrt (+ (* x (+ y 0.5)) z))
7.0ms	(cbrt (- (* x (+ y 0.5)) z))
25.0ms	(- (* (* x (+ y 0.5)) (* x (+ y 0.5))) (* z z))
25.0ms	(cbrt (- (* (* x (+ y 0.5)) (* x (+ y 0.5))) (* z z)))

series569.0ms

Counts

4 → 12

Calls

4 calls:

136.0ms	(cbrt (+ (* x (+ y 0.5)) z))
134.0ms	(cbrt (- (* x (+ y 0.5)) z))
106.0ms	(- (* (* x (+ y 0.5)) (* x (+ y 0.5))) (* z z))
192.0ms	(cbrt (- (* (* x (+ y 0.5)) (* x (+ y 0.5))) (* z z)))

simplify50.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	510	855
1	1628	792
2	5001	762

prune294.0ms

Filtered

69 candidates to 63 candidates (91.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

regimes49.0ms

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

sample392.0ms

Algorithm

intervals

Results

215.0ms	9179×	body	80	valid
0.0ms	2×	body	1280	valid