Details

sample19.0ms

Algorithm

intervals

Results

9.0ms

302×

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

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.0b

Counts

2 → 1

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))

rewrite15.0ms

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:

8.0ms	(+ (+ (/ x 2.0) (* y x)) z)
6.0ms	(+ (/ x 2.0) (* y x))

series70.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(+ (+ (/ x 2.0) (* y x)) z)
39.0ms	(+ (/ x 2.0) (* y x))

simplify51.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 3 (47.0ms)

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

prune44.0ms

Filtered

31 candidates to 22 candidates (71.0%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	30	1	31
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	30	2	32

Merged error: 0.0b

Counts

32 → 2

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite12.0ms

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 0.5)) z)
6.0ms	(* x (+ y 0.5))

series58.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(+ (* x (+ y 0.5)) z)
31.0ms	(* x (+ y 0.5))

simplify87.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 2 (22.0ms)

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

prune59.0ms

Filtered

42 candidates to 28 candidates (66.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	40	2	42
Fresh	0	0	0
Picked	0	1	1
Done	1	0	1
Total	41	3	44

Merged error: 0b

Counts

44 → 3

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite11.0ms

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 x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)
5.0ms	(* (cbrt x) (cbrt x))

series708.0ms

Counts

4 → 12

Calls

4 calls:

170.0ms	(cbrt x)
173.0ms	(cbrt x)
175.0ms	(cbrt x)
189.0ms	(* (cbrt x) (cbrt x))

simplify90.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (80.0ms)

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

prune166.0ms

Filtered

85 candidates to 64 candidates (75.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	85	3	88

Merged error: 0b

Counts

88 → 3

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (/ (* x (+ (pow y 3) (pow 0.5 3))) (+ (* y y) (- (* 0.5 0.5) (* y 0.5)))) z)
0.0b	(+ (* y y) (- (* 0.5 0.5) (* y 0.5)))
2.9b	(* x (+ (pow y 3) (pow 0.5 3)))
17.2b	(/ (* x (+ (pow y 3) (pow 0.5 3))) (+ (* y y) (- (* 0.5 0.5) (* y 0.5))))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

20×	`*-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` `distribute-lft-out`
5×	`flip3-+` `flip-+`
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 → 80

Calls

4 calls:

20.0ms	(+ (/ (* x (+ (pow y 3) (pow 0.5 3))) (+ (* y y) (- (* 0.5 0.5) (* y 0.5)))) z)
6.0ms	(+ (* y y) (- (* 0.5 0.5) (* y 0.5)))
14.0ms	(* x (+ (pow y 3) (pow 0.5 3)))
22.0ms	(/ (* x (+ (pow y 3) (pow 0.5 3))) (+ (* y y) (- (* 0.5 0.5) (* y 0.5))))

series392.0ms

Counts

4 → 12

Calls

4 calls:

131.0ms	(+ (/ (* x (+ (pow y 3) (pow 0.5 3))) (+ (* y y) (- (* 0.5 0.5) (* y 0.5)))) z)
22.0ms	(+ (* y y) (- (* 0.5 0.5) (* y 0.5)))
88.0ms	(* x (+ (pow y 3) (pow 0.5 3)))
151.0ms	(/ (* x (+ (pow y 3) (pow 0.5 3))) (+ (* y y) (- (* 0.5 0.5) (* y 0.5))))

simplify73.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	445	862
1	2242	749
2	5001	742

prune211.0ms

Filtered

92 candidates to 64 candidates (69.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	92	0	92
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	92	3	95

Merged error: 0b

Counts

95 → 3

regimes50.0ms

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

sample405.0ms

Algorithm

intervals

Results

215.0ms	9080×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	320	valid