Details

sample37.0ms

Algorithm

intervals

Results

21.0ms

334×

body

valid

simplify64.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 4 (12.0ms)

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

prune8.0ms

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: 9.3b

Counts

2 → 2

localize11.0ms

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)))
9.4b	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

rewrite32.0ms

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:

9.0ms	(* (* z 2.0) (- 1.0 t))
12.0ms	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
7.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

series180.0ms

Counts

3 → 9

Calls

3 calls:

48.0ms	(* (* z 2.0) (- 1.0 t))
59.0ms	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
72.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

simplify79.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 2 (68.0ms)

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

prune255.0ms

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: 0b

Counts

110 → 5

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma 2.0 (/ 1 (* t z)) (- (* 2.0 (/ 1 t)) 2.0))
0.0b	(- (* 2.0 (/ 1 t)) 2.0)
0.0b	(+ (/ x y) (fma 2.0 (/ 1 (* t z)) (- (* 2.0 (/ 1 t)) 2.0)))
0.6b	(/ 1 (* t z))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 86

Calls

4 calls:

1.0ms	(fma 2.0 (/ 1 (* t z)) (- (* 2.0 (/ 1 t)) 2.0))
7.0ms	(- (* 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))

series155.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(fma 2.0 (/ 1 (* t z)) (- (* 2.0 (/ 1 t)) 2.0))
41.0ms	(- (* 2.0 (/ 1 t)) 2.0)
65.0ms	(+ (/ x y) (fma 2.0 (/ 1 (* t z)) (- (* 2.0 (/ 1 t)) 2.0)))
13.0ms	(/ 1 (* t z))

simplify48.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	315	508
1	1232	431
2	5001	420

prune253.0ms

Filtered

98 candidates to 71 candidates (72.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	98	0	98
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	98	5	103

Merged error: 0b

Counts

103 → 5

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ x y) (/ (+ 2.0 (* 2.0 (- z (* t z)))) (* t z)))
0.0b	(- z (* t z))
9.4b	(/ (+ 2.0 (* 2.0 (- z (* t z)))) (* t z))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 74

Calls

3 calls:

12.0ms	(+ (/ x y) (/ (+ 2.0 (* 2.0 (- z (* t z)))) (* t z)))
3.0ms	(- z (* t z))
7.0ms	(/ (+ 2.0 (* 2.0 (- z (* t z)))) (* t z))

series164.0ms

Counts

3 → 9

Calls

3 calls:

60.0ms	(+ (/ x y) (/ (+ 2.0 (* 2.0 (- z (* t z)))) (* t z)))
31.0ms	(- z (* t z))
72.0ms	(/ (+ 2.0 (* 2.0 (- z (* t z)))) (* t z))

simplify49.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	350	532
1	1255	472
2	5001	466

prune220.0ms

Filtered

83 candidates to 67 candidates (80.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	83	0	83
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	83	5	88

Merged error: 0b

Counts

88 → 5

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma z (- 1.0 t) 1)
0.2b	(fma (/ (fma z (- 1.0 t) 1) z) (/ 2.0 t) (/ x y))
8.7b	(/ (fma z (- 1.0 t) 1) z)

rewrite6.0ms

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))
3.0ms	(/ (fma z (- 1.0 t) 1) z)

series155.0ms

Counts

3 → 9

Calls

3 calls:

22.0ms	(fma z (- 1.0 t) 1)
99.0ms	(fma (/ (fma z (- 1.0 t) 1) z) (/ 2.0 t) (/ x y))
34.0ms	(/ (fma z (- 1.0 t) 1) z)

simplify59.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 3 (52.0ms)

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

prune167.0ms

Filtered

58 candidates to 47 candidates (81.0%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	58	0	58
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	58	5	63

Merged error: 0b

Counts

63 → 5

regimes141.0ms

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

sample793.0ms

Algorithm

intervals

Results

509.0ms

10309×

body

valid