Details

sample21.0ms

Algorithm

intervals

Results

7.0ms

310×

body

valid

simplify63.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	3
1	22	3
2	42	3
3	61	3
4	86	3
5	97	3
6	388	3
7	2917	3
8	5001	3

prune3.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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: 13.2b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (- y z))
12.6b	(/ (* x (- y z)) y)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
9×	`add-exp-log` `add-cbrt-cube`
8×	`*-un-lft-identity`
6×	`add-cube-cbrt`
5×	`associate-r`
4×	`pow1` `associate-*r/`
3×	`times-frac` `associate-l` `associate-/r*`
2×	`cbrt-undiv` `distribute-rgt-in` `sub-neg` `flip3--` `distribute-lft-in` `div-exp` `prod-exp` `flip--` `cbrt-unprod` `associate-/l/` `add-log-exp`
1×	`frac-2neg` `pow-prod-down` `clear-num` `-commutative` `div-inv` `associate-/l` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 49

Calls

2 calls:

6.0ms	(* x (- y z))
10.0ms	(/ (* x (- y z)) y)

series15.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(* x (- y z))
9.0ms	(/ (* x (- y z)) y)

simplify32.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	219	218
1	1044	189
2	5001	189

prune72.0ms

Filtered

55 candidates to 35 candidates (36.4%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	47	8	55
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	48	8	56

Merged error: 0b

Counts

56 → 8

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ y (- y z))
3.0b	(/ x (/ y (- y z)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

138×	`times-frac`
102×	`add-sqr-sqrt` `*-un-lft-identity`
70×	`add-cube-cbrt`
26×	`associate-/r*`
16×	`distribute-lft-out--` `difference-of-squares`
11×	`associate-/r/`
9×	`add-exp-log` `add-cbrt-cube`
6×	`div-inv` `associate-/l*`
5×	`flip3--` `flip--`
4×	`cbrt-undiv` `div-exp`
2×	`pow1` `frac-2neg` `clear-num` `add-log-exp`

Counts

2 → 139

Calls

2 calls:

5.0ms	(/ y (- y z))
8.0ms	(/ x (/ y (- y z)))

series17.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(/ y (- y z))
11.0ms	(/ x (/ y (- y z)))

simplify56.0ms

Algorithm

egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	472	1043
1	2220	1007
2	5001	1004

prune120.0ms

Filtered

145 candidates to 108 candidates (25.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	142	3	145
Fresh	4	3	7
Picked	0	1	1
Done	0	0	0
Total	146	7	153

Merged error: 0b

Counts

153 → 7

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- y z) y)
3.4b	(* x (/ (- y z) y))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
36×	`*-un-lft-identity`
31×	`times-frac`
22×	`add-cube-cbrt`
19×	`associate-r`
9×	`add-exp-log` `add-cbrt-cube`
7×	`distribute-lft-out--` `difference-of-squares`
5×	`associate-/l*`
4×	`pow1`
3×	`associate-l` `associate-/r*`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `add-log-exp` `unswap-sqr`
1×	`flip3--` `frac-2neg` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `-commutative` `flip--`

Counts

2 → 76

Calls

2 calls:

5.0ms	(/ (- y z) y)
9.0ms	(* x (/ (- y z) y))

series13.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(/ (- y z) y)
9.0ms	(* x (/ (- y z) y))

simplify35.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	264	396
1	1187	365
2	5001	364

prune72.0ms

Filtered

82 candidates to 57 candidates (30.5%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	82	0	82
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	82	7	89

Merged error: 0b

Counts

89 → 7

localize5.0ms

Local error

Found 1 expressions with local error:

10.1b

(* (/ x y) (- y z))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
13×	`associate-l`
11×	`*-un-lft-identity`
10×	`times-frac`
9×	`add-cube-cbrt`
6×	`add-exp-log` `add-cbrt-cube`
5×	`associate-r`
3×	`pow1`
2×	`distribute-rgt-in` `frac-times` `sub-neg` `flip3--` `distribute-lft-in` `associate-*r/` `prod-exp` `flip--` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `div-inv` `distribute-lft-out--` `add-log-exp` `difference-of-squares`

Counts

1 → 42

Calls

1 calls:

8.0ms

(* (/ x y) (- y z))

series15.0ms

Counts

1 → 3

Calls

1 calls:

15.0ms

(* (/ x y) (- y z))

simplify129.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	241	221
1	985	200
2	4257	192
3	5003	192

prune48.0ms

Filtered

45 candidates to 30 candidates (33.3%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	45	0	45
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	45	7	52

Merged error: 0b

Counts

52 → 7

regimes228.0ms

Accuracy

-5.4% (3.1b remaining)

Error of 3.1b against oracle of 0.0b and baseline of 3.0b

bsearch16.0ms

Steps

Iters	Range		Point
6	7.283753147485352e-195	3.5292224085828515e-194	1.16885196966662e-194
1	-1.4645434647606224e-235	-1.394603287339816e-235	-1.4470584204054209e-235

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	9
1	18	9

end0.0ms

sample573.0ms

Algorithm

intervals

Results

243.0ms

9676×

body

valid

Details

sample21.0ms

simplify63.0ms

prune3.0ms

localize5.0ms

rewrite17.0ms

series15.0ms

simplify32.0ms

prune72.0ms

localize5.0ms

rewrite19.0ms

series17.0ms

simplify56.0ms

prune120.0ms

localize5.0ms

rewrite16.0ms

series13.0ms

simplify35.0ms

prune72.0ms

localize5.0ms

rewrite9.0ms

series15.0ms

simplify129.0ms

prune48.0ms

regimes228.0ms

bsearch16.0ms

simplify1.0ms

end0.0ms

sample573.0ms

Profiling