Details

sample16.0ms

Algorithm

intervals

Results

6.0ms

329×

body

valid

simplify123.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	3
1	25	3
2	36	3
3	40	3
4	46	3
5	58	3
6	93	3
7	130	3
8	163	3
9	273	3
10	507	3
11	1618	3
12	5001	3

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

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite15.0ms

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-+r+` `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:

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

series53.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(+ x (* y (+ z x)))
25.0ms	(* y (+ z x))

simplify107.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	190	178
1	771	163
2	3893	163
3	5002	163

prune80.0ms

Filtered

48 candidates to 31 candidates (64.6%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	45	3	48
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	46	3	49

Merged error: 0b

Counts

49 → 3

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

17×	`*-un-lft-identity`
10×	`distribute-lft-out`
6×	`add-log-exp`
5×	`associate-l`
3×	`sum-log`
2×	`+-commutative` `associate-+l+`
1×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `flip3-+` `add-cbrt-cube` `flip-+`

Counts

1 → 20

Calls

1 calls:

15.0ms

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

series30.0ms

Counts

1 → 3

Calls

1 calls:

30.0ms

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

simplify76.0ms

Algorithm

egg-herbie

Counts

23 → 23

Iterations

Useful iterations: 2 (19.0ms)

Iter	Nodes	Cost
0	115	132
1	484	110
2	2309	107
3	5001	107

prune36.0ms

Filtered

23 candidates to 14 candidates (60.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	23	0	23
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	23	3	26

Merged error: 0b

Counts

26 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* y (+ z x))) (cbrt (* y (+ z x))))
2.2b	(cbrt (* y (+ z x)))
2.2b	(cbrt (* y (+ z x)))
2.2b	(cbrt (* y (+ z x)))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 159

Calls

4 calls:

19.0ms	(* (cbrt (* y (+ z x))) (cbrt (* y (+ z x))))
6.0ms	(cbrt (* y (+ z x)))
6.0ms	(cbrt (* y (+ z x)))
6.0ms	(cbrt (* y (+ z x)))

series458.0ms

Counts

4 → 12

Calls

4 calls:

137.0ms	(* (cbrt (* y (+ z x))) (cbrt (* y (+ z x))))
112.0ms	(cbrt (* y (+ z x)))
104.0ms	(cbrt (* y (+ z x)))
106.0ms	(cbrt (* y (+ z x)))

simplify108.0ms

Algorithm

egg-herbie

Counts

171 → 171

Iterations

Useful iterations: 3 (95.0ms)

Iter	Nodes	Cost
0	352	1416
1	1261	1333
2	4816	1229
3	5002	1212

prune416.0ms

Filtered

171 candidates to 120 candidates (70.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	171	0	171
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	171	3	174

Merged error: 0b

Counts

174 → 3

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* (* y (sqrt (+ z x))) (sqrt (+ z x))))
0.1b	(* y (sqrt (+ z x)))
0.2b	(* (* y (sqrt (+ z x))) (sqrt (+ z x)))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

36×	`add-sqr-sqrt`
26×	`associate-l`
24×	`*-un-lft-identity`
21×	`associate-r`
19×	`sqrt-prod`
14×	`sqrt-div` `unswap-sqr`
12×	`add-cube-cbrt`
10×	`pow1` `add-exp-log` `associate-*r/` `add-cbrt-cube`
8×	`flip3-+` `flip-+`
6×	`distribute-lft-out`
5×	`add-log-exp`
4×	`frac-times` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`*-commutative`
2×	`associate-*l/`
1×	`+-commutative` `sum-log`

Counts

3 → 91

Calls

3 calls:

17.0ms	(+ x (* (* y (sqrt (+ z x))) (sqrt (+ z x))))
7.0ms	(* y (sqrt (+ z x)))
15.0ms	(* (* y (sqrt (+ z x))) (sqrt (+ z x)))

series149.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(+ x (* (* y (sqrt (+ z x))) (sqrt (+ z x))))
59.0ms	(* y (sqrt (+ z x)))
49.0ms	(* (* y (sqrt (+ z x))) (sqrt (+ z x)))

simplify56.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	409	727
1	1755	586
2	5001	567

prune186.0ms

Filtered

100 candidates to 64 candidates (64.0%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	100	0	100
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	100	3	103

Merged error: 0b

Counts

103 → 3

regimes46.0ms

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	11	4
1	11	4

end0.0ms

sample400.0ms

Algorithm

intervals

Results

191.0ms

9931×

body

valid