Details

sample17.0ms

Algorithm

intervals

Results

8.0ms

307×

body

valid

simplify98.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

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: 8.3b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (- y z))
7.8b	(/ (* x (- y z)) y)

rewrite14.0ms

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

series87.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(* x (- y z))
52.0ms	(/ (* x (- y z)) y)

simplify42.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 1 (9.0ms)

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

prune79.0ms

Filtered

55 candidates to 35 candidates (63.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	52	3	55
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	52	4	56

Merged error: 0.0b

Counts

56 → 4

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ y (- y z))
2.3b	(/ x (/ y (- y z)))

rewrite20.0ms

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)))

series97.0ms

Counts

2 → 6

Calls

2 calls:

44.0ms	(/ y (- y z))
53.0ms	(/ x (/ y (- y z)))

simplify72.0ms

Algorithm

egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 2 (59.0ms)

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

prune234.0ms

Filtered

145 candidates to 108 candidates (74.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	144	1	145
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	145	4	149

Merged error: 0b

Counts

149 → 4

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- y z) y)
2.7b	(* x (/ (- y z) y))

rewrite17.0ms

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))

series82.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(/ (- y z) y)
51.0ms	(* x (/ (- y z) y))

simplify51.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 2 (45.0ms)

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

prune112.0ms

Filtered

82 candidates to 56 candidates (68.3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	82	0	82
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	82	4	86

Merged error: 0b

Counts

86 → 4

localize5.0ms

Local error

Found 1 expressions with local error:

12.4b

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

rewrite10.0ms

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))

series52.0ms

Counts

1 → 3

Calls

1 calls:

52.0ms

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

simplify125.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 2 (33.0ms)

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

prune58.0ms

Filtered

45 candidates to 29 candidates (64.4%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	45	0	45
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	45	4	49

Merged error: 0b

Counts

49 → 4

regimes95.0ms

Accuracy

12% (2.6b remaining)

Error of 2.6b against oracle of 0.0b and baseline of 3.0b

bsearch61.0ms

Steps

Iters	Range		Point
8	2.0759287431932455e-187	1.7570259815212553e-184	6.320240572056151e-185
9	-2.920886200131203e-21	-2.2705629130171564e-29	-7.618280645693821e-23

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	6
1	19	6

end0.0ms

sample461.0ms

Algorithm

intervals

Results

253.0ms

9621×

body

valid