Details

sample18.0ms

Algorithm

intervals

Results

8.0ms

323×

body

valid

simplify91.0ms

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: 11.9b

Counts

2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite21.0ms

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)

series82.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(* x (+ (- y z) 1.0))
48.0ms	(/ (* x (+ (- y z) 1.0)) z)

simplify51.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 1 (13.0ms)

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

prune125.0ms

Filtered

57 candidates to 39 candidates (68.4%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	52	5	57
Fresh	0	0	0
Picked	1	0	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))
3.1b	(/ x (/ z (+ (- y z) 1.0)))

rewrite32.0ms

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

series98.0ms

Counts

2 → 6

Calls

2 calls:

52.0ms	(/ z (+ (- y z) 1.0))
45.0ms	(/ x (/ z (+ (- y z) 1.0)))

simplify78.0ms

Algorithm

egg-herbie

Counts

149 → 149

Iterations

Useful iterations: 2 (62.0ms)

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

prune306.0ms

Filtered

149 candidates to 97 candidates (65.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	148	1	149
Fresh	2	2	4
Picked	0	1	1
Done	0	0	0
Total	150	4	154

Merged error: 0b

Counts

154 → 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))

rewrite25.0ms

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:

9.0ms	(/ (+ (- y z) 1.0) z)
13.0ms	(* x (/ (+ (- y z) 1.0) z))

series72.0ms

Counts

2 → 6

Calls

2 calls:

26.0ms	(/ (+ (- y z) 1.0) z)
46.0ms	(* x (/ (+ (- y z) 1.0) z))

simplify49.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 2 (41.0ms)

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

prune156.0ms

Filtered

86 candidates to 53 candidates (61.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	86	0	86
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	86	4	90

Merged error: 0b

Counts

90 → 4

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt` `*-un-lft-identity`
12×	`add-cube-cbrt`
9×	`prod-diff`
8×	`add-exp-log` `add-cbrt-cube`
5×	`add-log-exp`
3×	`pow1` `expm1-log1p-u` `times-frac` `fma-neg` `associate-/r*` `log1p-expm1-u`
2×	`cbrt-undiv` `div-exp` `fma-udef`
1×	`sub-neg` `flip3--` `frac-2neg` `diff-log` `prod-exp` `associate--l+` `clear-num` `flip--` `cbrt-unprod` `div-inv` `associate-/l*` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 62

Calls

3 calls:

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

series120.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(fma 1.0 (/ x z) (/ (* x y) z))
46.0ms	(- (fma 1.0 (/ x z) (/ (* x y) z)) x)
21.0ms	(/ (* x y) z)

simplify48.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	235	493
1	1042	390
2	5002	384

prune156.0ms

Filtered

71 candidates to 48 candidates (67.6%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	70	1	71
Fresh	1	0	1
Picked	0	1	1
Done	0	2	2
Total	71	4	75

Merged error: 0b

Counts

75 → 4

regimes65.0ms

Accuracy

77.4% (0.4b remaining)

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

bsearch74.0ms

Steps

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

simplify7.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	24	9
1	24	9

end0.0ms

sample461.0ms

Algorithm

intervals

Results

249.0ms

10171×

body

valid