Details

sample17.0ms

Algorithm

intervals

Results

8.0ms

323×

body

valid

simplify65.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	22	4
1	44	4
2	114	4
3	220	4
4	354	4
5	550	4
6	1669	4
7	5001	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: 11.9b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (+ (- y z) 1.0))
11.1b	(/ (* x (+ (- y z) 1.0)) z)

rewrite19.0ms

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` `flip3-+` `div-exp` `prod-exp` `cbrt-unprod` `flip-+` `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 → 47

Calls

2 calls:

8.0ms	(* x (+ (- y z) 1.0))
9.0ms	(/ (* x (+ (- y z) 1.0)) z)

series71.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(* x (+ (- y z) 1.0))
41.0ms	(/ (* x (+ (- y z) 1.0)) z)

simplify36.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	254	285
1	1225	238
2	5001	238

prune90.0ms

Filtered

53 candidates to 35 candidates (66.0%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	48	5	53
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	49	5	54

Merged error: 0.0b

Counts

54 → 5

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ z (+ (- y z) 1.0))
3.1b	(/ x (/ z (+ (- y z) 1.0)))

rewrite25.0ms

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` `frac-2neg` `clear-num` `add-log-exp`

Counts

2 → 139

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)))

simplify62.0ms

Algorithm

egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	455	1177
1	2110	1129
2	5002	1126

prune231.0ms

Filtered

145 candidates to 92 candidates (63.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	144	1	145
Fresh	2	2	4
Picked	0	1	1
Done	0	0	0
Total	146	4	150

Merged error: 0b

Counts

150 → 4

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ (- y z) 1.0) z)
3.7b	(* x (/ (+ (- y z) 1.0) z))

rewrite39.0ms

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` `div-exp` `prod-exp` `cbrt-unprod` `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 → 76

Calls

2 calls:

18.0ms	(/ (+ (- y z) 1.0) z)
16.0ms	(* x (/ (+ (- y z) 1.0) z))

series97.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(/ (+ (- y z) 1.0) z)
61.0ms	(* x (/ (+ (- y z) 1.0) z))

simplify37.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	267	479
1	1167	438
2	5001	432

prune119.0ms

Filtered

82 candidates to 49 candidates (59.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

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

Merged error: 0b

Counts

86 → 4

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ (* x y) z) (* 1.0 (/ x z)))
0.0b	(- (+ (/ (* x y) z) (* 1.0 (/ x z))) x)
7.9b	(/ (* x y) z)

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp`
8×	`add-exp-log` `add-cbrt-cube`
7×	`add-sqr-sqrt` `*-un-lft-identity`
5×	`add-cube-cbrt`
3×	`pow1` `times-frac` `associate-/r*`
2×	`cbrt-undiv` `diff-log` `div-exp` `sum-log`
1×	`+-commutative` `sub-neg` `flip3--` `frac-2neg` `flip3-+` `associate-r/` `frac-add` `prod-exp` `associate--l+` `clear-num` `flip--` `cbrt-unprod` `flip-+` `div-inv` `associate-/l` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 49

Calls

3 calls:

5.0ms	(+ (/ (* x y) z) (* 1.0 (/ x z)))
8.0ms	(- (+ (/ (* x y) z) (* 1.0 (/ x z))) x)
4.0ms	(/ (* x y) z)

series100.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(+ (/ (* x y) z) (* 1.0 (/ x z)))
39.0ms	(- (+ (/ (* x y) z) (* 1.0 (/ x z))) x)
19.0ms	(/ (* x y) z)

simplify33.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	254	367
1	1124	344
2	5002	325

prune102.0ms

Filtered

58 candidates to 40 candidates (69.0%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	57	1	58
Fresh	1	0	1
Picked	0	1	1
Done	0	2	2
Total	58	4	62

Merged error: 0b

Counts

62 → 4

regimes56.0ms

Accuracy

77.4% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 1.6b

bsearch65.0ms

Steps

Iters	Range		Point
8	9.349759581274407e-114	1.9669099596609714e-110	1.9382208656229947e-110
8	-2.9148937725967404e-17	-3.1158541889032954e-21	-1.062551417993879e-20

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	10
1	27	10

end0.0ms

sample466.0ms

Algorithm

intervals

Results

248.0ms

10171×

body

valid