Details

sample27.0ms

Algorithm

intervals

Results

12.0ms

325×

body

valid

simplify76.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 4 (16.0ms)

Iter	Nodes	Cost
0	25	8
1	50	8
2	106	8
3	208	8
4	322	6
5	520	6
6	1439	6
7	5002	6

prune10.0ms

Filtered

1 candidates to 1 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: 8.8b

Counts

2 → 2

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (* z 2.0) (- 1.0 t))
0.0b	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
8.9b	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

29×	`*-un-lft-identity`
27×	`add-sqr-sqrt`
25×	`add-cube-cbrt`
18×	`prod-diff`
13×	`add-exp-log` `fma-def` `add-cbrt-cube`
12×	`times-frac`
11×	`distribute-rgt-in` `distribute-lft-in`
8×	`pow1`
5×	`associate-r` `add-log-exp`
4×	`prod-exp` `cbrt-unprod`
3×	`expm1-log1p-u` `pow-prod-down` `log1p-expm1-u` `associate-/l*`
2×	`cbrt-undiv` `sub-neg` `flip3-+` `associate-*r/` `div-exp` `flip-+` `div-inv` `associate-/l/`
1×	`+-commutative` `flip3--` `frac-2neg` `associate-l` `frac-add` `clear-num` `associate-/r` `sum-log` `-commutative` `flip--` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 99

Calls

3 calls:

15.0ms	(* (* z 2.0) (- 1.0 t))
13.0ms	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
7.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

series175.0ms

Counts

3 → 9

Calls

3 calls:

48.0ms	(* (* z 2.0) (- 1.0 t))
58.0ms	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
69.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

simplify86.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 2 (71.0ms)

Iter	Nodes	Cost
0	553	869
1	2416	670
2	5001	668

prune241.0ms

Filtered

108 candidates to 69 candidates (63.9%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	103	5	108
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	104	6	110

Merged error: 0b

Counts

110 → 6

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma 2.0 (/ 1 (* t z)) (- (* 2.0 (/ 1 t)) 2.0))
0.0b	(+ (/ x y) (fma 2.0 (/ 1 (* t z)) (- (* 2.0 (/ 1 t)) 2.0)))
0.4b	(/ 1 (* t z))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-exp-log` `*-un-lft-identity`
13×	`fma-def`
12×	`add-sqr-sqrt` `add-cube-cbrt` `times-frac`
8×	`add-cbrt-cube`
6×	`pow1`
5×	`add-log-exp`
4×	`div-exp`
3×	`expm1-log1p-u` `prod-exp` `log1p-expm1-u` `associate-/l*`
2×	`cbrt-undiv` `rec-exp` `pow-flip` `1-exp` `fma-udef` `div-inv`
1×	`+-commutative` `associate-+r+` `frac-2neg` `flip3-+` `pow-prod-down` `clear-num` `associate-/r*` `sum-log` `cbrt-unprod` `flip-+` `distribute-lft-out` `inv-pow`

Counts

3 → 68

Calls

3 calls:

1.0ms	(fma 2.0 (/ 1 (* t z)) (- (* 2.0 (/ 1 t)) 2.0))
7.0ms	(+ (/ x y) (fma 2.0 (/ 1 (* t z)) (- (* 2.0 (/ 1 t)) 2.0)))
5.0ms	(/ 1 (* t z))

series118.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(fma 2.0 (/ 1 (* t z)) (- (* 2.0 (/ 1 t)) 2.0))
62.0ms	(+ (/ x y) (fma 2.0 (/ 1 (* t z)) (- (* 2.0 (/ 1 t)) 2.0)))
15.0ms	(/ 1 (* t z))

simplify105.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 3 (98.0ms)

Iter	Nodes	Cost
0	227	393
1	815	355
2	3966	341
3	5001	339

prune197.0ms

Filtered

77 candidates to 56 candidates (72.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	76	1	77
Fresh	1	4	5
Picked	0	1	1
Done	0	0	0
Total	77	6	83

Merged error: 0b

Counts

83 → 6

localize12.0ms

Local error

Found 1 expressions with local error:

0.1b	(fma (/ 1 t) (+ (/ 2.0 z) 2.0) (- (/ x y) 2.0))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

1.0ms

(fma (/ 1 t) (+ (/ 2.0 z) 2.0) (- (/ x y) 2.0))

series55.0ms

Counts

1 → 3

Calls

1 calls:

55.0ms

(fma (/ 1 t) (+ (/ 2.0 z) 2.0) (- (/ x y) 2.0))

simplify109.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 2 (11.0ms)

Iter	Nodes	Cost
0	58	105
1	133	90
2	549	87
3	3725	87
4	5001	87

prune48.0ms

Filtered

13 candidates to 12 candidates (92.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	12	1	13
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	13	6	19

Merged error: 0b

Counts

19 → 6

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (/ (+ (/ 2.0 z) 2.0) t) (- (/ x y) 2.0))
0.1b	(/ (+ (/ 2.0 z) 2.0) t)

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

72×	`*-un-lft-identity`
53×	`add-sqr-sqrt` `add-cube-cbrt`
51×	`times-frac`
41×	`associate-+r+`
39×	`prod-diff`
16×	`fma-def`
9×	`distribute-lft-out`
7×	`add-log-exp`
5×	`div-inv`
4×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
3×	`associate-/r*`
2×	`pow1` `expm1-log1p-u` `flip3-+` `frac-add` `sum-log` `flip-+` `log1p-expm1-u` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `associate-+r-` `sub-neg` `flip3--` `frac-2neg` `diff-log` `div-exp` `clear-num` `flip--` `distribute-lft-out--`

Counts

2 → 111

Calls

2 calls:

28.0ms	(+ (/ (+ (/ 2.0 z) 2.0) t) (- (/ x y) 2.0))
9.0ms	(/ (+ (/ 2.0 z) 2.0) t)

series103.0ms

Counts

2 → 6

Calls

2 calls:

62.0ms	(+ (/ (+ (/ 2.0 z) 2.0) t) (- (/ x y) 2.0))
41.0ms	(/ (+ (/ 2.0 z) 2.0) t)

simplify70.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	551	960
1	1775	858
2	5002	772

prune264.0ms

Filtered

117 candidates to 85 candidates (72.6%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	117	0	117
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	117	6	123

Merged error: 0b

Counts

123 → 6

regimes175.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	8
1	19	8

end0.0ms

sample688.0ms

Algorithm

intervals

Results

418.0ms

10444×

body

valid