Details

sample18.0ms

Algorithm

intervals

Results

7.0ms

316×

body

valid

simplify84.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	22	4
1	46	4
2	121	4
3	258	4
4	434	4
5	687	4
6	1957	4
7	5002	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: 10.1b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (+ (- y z) 1.0))
9.5b	(/ (* x (+ (- y z) 1.0)) z)

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

11×	`*-un-lft-identity`
9×	`add-exp-log` `add-cbrt-cube`
8×	`add-sqr-sqrt`
6×	`add-cube-cbrt`
5×	`associate-r`
4×	`pow1` `associate-*r/`
3×	`times-frac` `associate-l` `associate-/r*`
2×	`cbrt-undiv` `expm1-log1p-u` `flip3-+` `div-exp` `prod-exp` `cbrt-unprod` `flip-+` `log1p-expm1-u` `associate-/l/` `distribute-lft-out` `add-log-exp`
1×	`distribute-rgt-in` `frac-2neg` `distribute-lft-in` `pow-prod-down` `clear-num` `-commutative` `div-inv` `associate-/l` `distribute-lft-out--` `unswap-sqr`

Counts

2 → 51

Calls

2 calls:

9.0ms	(* x (+ (- y z) 1.0))
10.0ms	(/ (* x (+ (- y z) 1.0)) z)

series77.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(* x (+ (- y z) 1.0))
46.0ms	(/ (* x (+ (- y z) 1.0)) z)

simplify40.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	262	303
1	1268	253
2	5002	253

prune97.0ms

Filtered

57 candidates to 39 candidates (68.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	53	4	57
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	53	5	58

Merged error: 0.0b

Counts

58 → 5

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ z (+ (- y z) 1.0))
1.7b	(/ x (/ z (+ (- y z) 1.0)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

150×	`*-un-lft-identity`
138×	`times-frac`
70×	`add-sqr-sqrt` `add-cube-cbrt`
32×	`distribute-lft-out`
26×	`associate-/r*`
16×	`distribute-lft-out--`
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` `expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u` `add-log-exp`

Counts

2 → 143

Calls

2 calls:

8.0ms	(/ z (+ (- y z) 1.0))
11.0ms	(/ x (/ z (+ (- y z) 1.0)))

series88.0ms

Counts

2 → 6

Calls

2 calls:

44.0ms	(/ z (+ (- y z) 1.0))
44.0ms	(/ x (/ z (+ (- y z) 1.0)))

simplify68.0ms

Algorithm

egg-herbie

Counts

149 → 149

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	463	1195
1	2143	1142
2	5001	1140

prune249.0ms

Filtered

149 candidates to 98 candidates (65.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	148	1	149
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	149	5	154

Merged error: 0b

Counts

154 → 5

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ (- y z) 1.0) z)
2.0b	(* x (/ (+ (- y z) 1.0) z))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

57×	`*-un-lft-identity`
31×	`times-frac`
27×	`add-sqr-sqrt`
22×	`add-cube-cbrt`
19×	`associate-r`
14×	`distribute-lft-out`
9×	`add-exp-log` `add-cbrt-cube`
7×	`distribute-lft-out--`
5×	`associate-/l*`
4×	`pow1`
3×	`associate-l` `associate-/r*`
2×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `div-inv` `associate-/l/` `add-log-exp` `unswap-sqr`
1×	`associate-+l-` `frac-2neg` `flip3-+` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `-commutative` `flip-+`

Counts

2 → 80

Calls

2 calls:

8.0ms	(/ (+ (- y z) 1.0) z)
12.0ms	(* x (/ (+ (- y z) 1.0) z))

series66.0ms

Counts

2 → 6

Calls

2 calls:

24.0ms	(/ (+ (- y z) 1.0) z)
42.0ms	(* x (/ (+ (- y z) 1.0) z))

simplify42.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	274	497
1	1191	450
2	5001	447

prune117.0ms

Filtered

86 candidates to 52 candidates (60.5%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	86	0	86
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	86	5	91

Merged error: 0b

Counts

91 → 5

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (+ (- y z) 1.0))
9.7b	(* (* x (+ (- y z) 1.0)) (/ 1 z))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-exp-log`
18×	`associate-r`
16×	`*-un-lft-identity` `add-cbrt-cube`
13×	`add-sqr-sqrt` `prod-exp`
11×	`add-cube-cbrt`
9×	`pow1` `times-frac`
7×	`associate-*r/` `cbrt-unprod`
4×	`div-exp` `associate-l` `pow-prod-down`
3×	`flip3-+` `flip-+`
2×	`cbrt-undiv` `expm1-log1p-u` `frac-times` `rec-exp` `1-exp` `associate-l/` `-commutative` `log1p-expm1-u` `distribute-lft-out` `add-log-exp`
1×	`distribute-rgt-in` `distribute-lft-in` `un-div-inv` `div-inv` `distribute-lft-out--` `unswap-sqr`

Counts

2 → 70

Calls

2 calls:

8.0ms	(* x (+ (- y z) 1.0))
13.0ms	(* (* x (+ (- y z) 1.0)) (/ 1 z))

series72.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(* x (+ (- y z) 1.0))
42.0ms	(* (* x (+ (- y z) 1.0)) (/ 1 z))

simplify56.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	405	467
1	2169	381
2	5001	368

prune100.0ms

Filtered

76 candidates to 44 candidates (57.9%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	76	5	81

Merged error: 0b

Counts

81 → 5

regimes124.0ms

Accuracy

88.6% (0.3b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 2.9b

bsearch79.0ms

Steps

Iters	Range		Point
10	1.9769951768978536e-143	4.945551007131862e-130	4.867285348010417e-130
9	-9.834161795002263e-26	-1.687329600087595e-33	-5.53451335962128e-26

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	12
1	21	12

end0.0ms

sample444.0ms

Algorithm

intervals

Results

240.0ms

10054×

body

valid