Details

sample31.0ms

Algorithm

intervals

Results

14.0ms

351×

body

valid

simplify80.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 4 (18.0ms)

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: 12.3b

Counts

2 → 2

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
0.0b	(* (* z 2.0) (- 1.0 t))
12.4b	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

rewrite33.0ms

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:

13.0ms	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
9.0ms	(* (* z 2.0) (- 1.0 t))
7.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

series183.0ms

Counts

3 → 9

Calls

3 calls:

59.0ms	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
49.0ms	(* (* z 2.0) (- 1.0 t))
75.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

simplify80.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 2 (69.0ms)

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

prune248.0ms

Filtered

108 candidates to 69 candidates (63.9%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	104	4	108
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	105	5	110

Merged error: 0.0b

Counts

110 → 5

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ x y) (fma 2.0 (/ 1 (* t z)) (- (* 2.0 (/ 1 t)) 2.0)))
0.0b	(fma 2.0 (/ 1 (* t z)) (- (* 2.0 (/ 1 t)) 2.0))
0.5b	(/ 1 (* t z))

rewrite16.0ms

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:

8.0ms	(+ (/ x y) (fma 2.0 (/ 1 (* t z)) (- (* 2.0 (/ 1 t)) 2.0)))
1.0ms	(fma 2.0 (/ 1 (* t z)) (- (* 2.0 (/ 1 t)) 2.0))
5.0ms	(/ 1 (* t z))

series122.0ms

Counts

3 → 9

Calls

3 calls:

69.0ms	(+ (/ x y) (fma 2.0 (/ 1 (* t z)) (- (* 2.0 (/ 1 t)) 2.0)))
39.0ms	(fma 2.0 (/ 1 (* t z)) (- (* 2.0 (/ 1 t)) 2.0))
14.0ms	(/ 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

prune193.0ms

Filtered

77 candidates to 56 candidates (72.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	77	0	77
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	77	5	82

Merged error: 0.0b

Counts

82 → 5

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma z (- 1.0 t) 1)
0.1b	(fma (/ (fma z (- 1.0 t) 1) z) (/ 2.0 t) (/ x y))
11.6b	(/ (fma z (- 1.0 t) 1) z)

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
5×	`add-exp-log` `add-cbrt-cube`
3×	`pow1` `expm1-log1p-u` `associate-/r` `log1p-expm1-u` `associate-/l` `add-log-exp`
2×	`fma-udef`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv`

Counts

3 → 49

Calls

3 calls:

1.0ms	(fma z (- 1.0 t) 1)
1.0ms	(fma (/ (fma z (- 1.0 t) 1) z) (/ 2.0 t) (/ x y))
4.0ms	(/ (fma z (- 1.0 t) 1) z)

series160.0ms

Counts

3 → 9

Calls

3 calls:

26.0ms	(fma z (- 1.0 t) 1)
99.0ms	(fma (/ (fma z (- 1.0 t) 1) z) (/ 2.0 t) (/ x y))
35.0ms	(/ (fma z (- 1.0 t) 1) z)

simplify62.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 3 (55.0ms)

Iter	Nodes	Cost
0	156	346
1	396	307
2	1684	305
3	5002	304

prune176.0ms

Filtered

58 candidates to 47 candidates (81.0%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	56	2	58
Fresh	0	3	3
Picked	1	0	1
Done	0	1	1
Total	57	6	63

Merged error: 0.0b

Counts

63 → 6

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (* z 2.0) (- 1.0 t))
0.1b	(fma x (/ 1 y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
12.4b	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 81

Calls

3 calls:

12.0ms	(* (* z 2.0) (- 1.0 t))
1.0ms	(fma x (/ 1 y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
7.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

series239.0ms

Counts

3 → 9

Calls

3 calls:

49.0ms	(* (* z 2.0) (- 1.0 t))
121.0ms	(fma x (/ 1 y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
68.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

simplify77.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 2 (66.0ms)

Iter	Nodes	Cost
0	478	804
1	2119	593
2	5001	589

prune178.0ms

Filtered

90 candidates to 53 candidates (58.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	90	0	90
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	90	6	96

Merged error: 0.0b

Counts

96 → 6

regimes193.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	8
1	19	8

end0.0ms

sample734.0ms

Algorithm

intervals

Results

440.0ms

10465×

body

valid