Details

sample17.0ms

Algorithm

intervals

Results

7.0ms	289×	body	80	valid
0.0ms	1×	body	160	valid

simplify8.0ms

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

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

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (+ (/ x 2.0) (* y x)) z)
0.0b	(+ (/ x 2.0) (* y x))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 31

Calls

2 calls:

24.0ms	(+ (+ (/ x 2.0) (* y x)) z)
14.0ms	(+ (/ x 2.0) (* y x))

series73.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(+ (+ (/ x 2.0) (* y x)) z)
43.0ms	(+ (/ x 2.0) (* y x))

simplify55.0ms

Algorithm

egg-herbie

Counts

37 → 37

Iterations

Useful iterations: 3 (51.0ms)

Iter	Nodes	Cost
0	171	198
1	547	186
2	1872	180
3	5002	178

prune79.0ms

Filtered

37 candidates to 24 candidates (64.9%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	35	2	37
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	36	2	38

Merged error: 0.0b

Counts

38 → 2

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 42

Calls

2 calls:

6.0ms	(* x (+ y 0.5))
11.0ms	(+ (* x (+ y 0.5)) z)

series69.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(* x (+ y 0.5))
30.0ms	(+ (* x (+ y 0.5)) z)

simplify97.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 2 (25.0ms)

Iter	Nodes	Cost
0	197	180
1	757	165
2	3670	163
3	5003	163

prune91.0ms

Filtered

48 candidates to 31 candidates (64.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	46	2	48
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	47	3	50

Merged error: 0.0b

Counts

50 → 3

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (+ y 0.5))
0.2b	(cbrt (+ y 0.5))
0.4b	(* (* x (* (cbrt (+ y 0.5)) (cbrt (+ y 0.5)))) (cbrt (+ y 0.5)))
0.8b	(* (cbrt (+ y 0.5)) (cbrt (+ y 0.5)))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

131×	`add-sqr-sqrt`
88×	`cbrt-prod`
70×	`cbrt-div`
67×	`unswap-sqr`
66×	`associate-l`
61×	`*-un-lft-identity`
53×	`associate-r`
36×	`add-cbrt-cube`
35×	`flip3-+` `flip-+`
34×	`associate-*r/` `cbrt-unprod`
32×	`frac-times`
27×	`add-cube-cbrt`
24×	`swap-sqr`
20×	`pow1`
16×	`associate-*l/`
15×	`add-exp-log` `distribute-lft-out`
8×	`pow1/3` `pow-prod-down`
7×	`prod-exp` `*-commutative`
4×	`add-log-exp`
2×	`pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus`

Counts

4 → 212

Calls

4 calls:

3.0ms	(cbrt (+ y 0.5))
3.0ms	(cbrt (+ y 0.5))
36.0ms	(* (* x (* (cbrt (+ y 0.5)) (cbrt (+ y 0.5)))) (cbrt (+ y 0.5)))
11.0ms	(* (cbrt (+ y 0.5)) (cbrt (+ y 0.5)))

series351.0ms

Counts

4 → 12

Calls

4 calls:

97.0ms	(cbrt (+ y 0.5))
96.0ms	(cbrt (+ y 0.5))
35.0ms	(* (* x (* (cbrt (+ y 0.5)) (cbrt (+ y 0.5)))) (cbrt (+ y 0.5)))
123.0ms	(* (cbrt (+ y 0.5)) (cbrt (+ y 0.5)))

simplify117.0ms

Algorithm

egg-herbie

Counts

224 → 224

Iterations

Useful iterations: 2 (86.0ms)

Iter	Nodes	Cost
0	829	2530
1	3225	2160
2	5001	1985

prune508.0ms

Filtered

224 candidates to 127 candidates (56.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	223	1	224
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	224	3	227

Merged error: 0b

Counts

227 → 3

localize17.0ms

Local error

Found 4 expressions with local error:

0.8b	(* (cbrt (+ y 0.5)) (cbrt (+ y 0.5)))
0.8b	(* (cbrt (+ y 0.5)) (cbrt (+ y 0.5)))
0.8b	(cbrt (* (cbrt (+ y 0.5)) (cbrt (+ y 0.5))))
0.8b	(cbrt (* (cbrt (+ y 0.5)) (cbrt (+ y 0.5))))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

160×	`cbrt-prod`
94×	`*-un-lft-identity`
70×	`add-sqr-sqrt`
64×	`cbrt-div`
38×	`add-cube-cbrt`
36×	`swap-sqr`
28×	`associate-r` `associate-l`
24×	`flip3-+` `flip-+` `distribute-lft-out`
18×	`pow1`
16×	`frac-times` `unswap-sqr`
14×	`pow1/3`
12×	`add-cbrt-cube`
8×	`add-exp-log` `associate-r/` `associate-l/` `cbrt-unprod`
4×	`pow-prod-down` `pow-sqr` `*-commutative` `pow-prod-up` `add-log-exp`
2×	`pow2` `pow-plus` `prod-exp`

Counts

4 → 208

Calls

4 calls:

11.0ms	(* (cbrt (+ y 0.5)) (cbrt (+ y 0.5)))
10.0ms	(* (cbrt (+ y 0.5)) (cbrt (+ y 0.5)))
12.0ms	(cbrt (* (cbrt (+ y 0.5)) (cbrt (+ y 0.5))))
12.0ms	(cbrt (* (cbrt (+ y 0.5)) (cbrt (+ y 0.5))))

series481.0ms

Counts

4 → 12

Calls

4 calls:

125.0ms	(* (cbrt (+ y 0.5)) (cbrt (+ y 0.5)))
117.0ms	(* (cbrt (+ y 0.5)) (cbrt (+ y 0.5)))
113.0ms	(cbrt (* (cbrt (+ y 0.5)) (cbrt (+ y 0.5))))
125.0ms	(cbrt (* (cbrt (+ y 0.5)) (cbrt (+ y 0.5))))

simplify60.0ms

Algorithm

egg-herbie

Counts

220 → 220

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	373	2158
1	1151	2066
2	5001	1852

prune717.0ms

Filtered

220 candidates to 128 candidates (58.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	220	0	220
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	220	3	223

Merged error: 0b

Counts

223 → 3

regimes54.0ms

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

sample646.0ms

Algorithm

intervals

Results

464.0ms	9083×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	160	valid