Details

sample29.0ms

Algorithm

intervals

Results

14.0ms

344×

body

valid

simplify66.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 4 (13.0ms)

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

prune9.0ms

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: 8.1b

Counts

2 → 2

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 2.0 (* (* z 2.0) (- 1.0 t)))
0.0b	(* (* z 2.0) (- 1.0 t))
0.0b	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
8.1b	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 137

Calls

4 calls:

6.0ms	(+ 2.0 (* (* z 2.0) (- 1.0 t)))
9.0ms	(* (* 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))

series210.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(+ 2.0 (* (* z 2.0) (- 1.0 t)))
53.0ms	(* (* z 2.0) (- 1.0 t))
51.0ms	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
72.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

simplify83.0ms

Algorithm

egg-herbie

Counts

149 → 149

Iterations

Useful iterations: 2 (69.0ms)

Iter	Nodes	Cost
0	622	1150
1	2605	863
2	5001	850

prune344.0ms

Filtered

149 candidates to 99 candidates (66.4%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	144	5	149
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	146	5	151

Merged error: 0b

Counts

151 → 5

localize18.0ms

Local error

Found 4 expressions with local error:

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

6.0ms	(- (* 2.0 (/ 1 t)) 2.0)
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))

series380.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(- (* 2.0 (/ 1 t)) 2.0)
294.0ms	(+ (/ x y) (fma 2.0 (/ 1 (* t z)) (- (* 2.0 (/ 1 t)) 2.0)))
36.0ms	(fma 2.0 (/ 1 (* t z)) (- (* 2.0 (/ 1 t)) 2.0))
14.0ms	(/ 1 (* t z))

simplify58.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 2 (49.0ms)

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

prune237.0ms

Filtered

98 candidates to 71 candidates (72.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	96	2	98
Fresh	2	2	4
Picked	0	1	1
Done	0	0	0
Total	98	5	103

Merged error: 0b

Counts

103 → 5

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b	(/ 1 (* t z))
0.7b	(cbrt (fma 2.0 (/ 1 (* t z)) (- (* 2.0 (/ 1 t)) 2.0)))
0.7b	(cbrt (fma 2.0 (/ 1 (* t z)) (- (* 2.0 (/ 1 t)) 2.0)))
0.7b	(cbrt (fma 2.0 (/ 1 (* t z)) (- (* 2.0 (/ 1 t)) 2.0)))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-exp-log`
9×	`cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
7×	`pow1`
4×	`expm1-log1p-u` `div-exp` `log1p-expm1-u` `add-log-exp`
3×	`times-frac` `pow1/3` `prod-exp` `associate-/l*`
2×	`cbrt-undiv` `rec-exp` `pow-flip` `1-exp`
1×	`frac-2neg` `pow-prod-down` `clear-num` `associate-/r*` `cbrt-unprod` `div-inv` `inv-pow`

Counts

4 → 69

Calls

4 calls:

5.0ms	(/ 1 (* t z))
1.0ms	(cbrt (fma 2.0 (/ 1 (* t z)) (- (* 2.0 (/ 1 t)) 2.0)))
1.0ms	(cbrt (fma 2.0 (/ 1 (* t z)) (- (* 2.0 (/ 1 t)) 2.0)))
1.0ms	(cbrt (fma 2.0 (/ 1 (* t z)) (- (* 2.0 (/ 1 t)) 2.0)))

series474.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(/ 1 (* t z))
151.0ms	(cbrt (fma 2.0 (/ 1 (* t z)) (- (* 2.0 (/ 1 t)) 2.0)))
155.0ms	(cbrt (fma 2.0 (/ 1 (* t z)) (- (* 2.0 (/ 1 t)) 2.0)))
154.0ms	(cbrt (fma 2.0 (/ 1 (* t z)) (- (* 2.0 (/ 1 t)) 2.0)))

simplify122.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 3 (112.0ms)

Iter	Nodes	Cost
0	211	694
1	769	607
2	4142	583
3	5001	562

prune243.0ms

Filtered

81 candidates to 58 candidates (71.6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	81	0	81
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	81	5	86

Merged error: 0b

Counts

86 → 5

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma z (* 2.0 (- 1.0 t)) 2.0)
0.0b	(+ (/ x y) (/ (/ (fma z (* 2.0 (- 1.0 t)) 2.0) t) z))
6.6b	(/ (/ (fma z (* 2.0 (- 1.0 t)) 2.0) t) z)
7.6b	(/ (fma z (* 2.0 (- 1.0 t)) 2.0) t)

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

95×	`times-frac`
67×	`*-un-lft-identity`
61×	`add-sqr-sqrt` `add-cube-cbrt`
16×	`associate-/l*`
13×	`fma-def`
11×	`add-exp-log` `add-cbrt-cube`
7×	`div-inv`
6×	`associate-/r*` `add-log-exp`
4×	`pow1` `cbrt-undiv` `expm1-log1p-u` `div-exp` `log1p-expm1-u`
2×	`frac-2neg` `clear-num` `distribute-lft-out`
1×	`+-commutative` `flip3-+` `frac-add` `sum-log` `flip-+` `fma-udef` `associate-/l/`

Counts

4 → 140

Calls

4 calls:

1.0ms	(fma z (* 2.0 (- 1.0 t)) 2.0)
33.0ms	(+ (/ x y) (/ (/ (fma z (* 2.0 (- 1.0 t)) 2.0) t) z))
6.0ms	(/ (/ (fma z (* 2.0 (- 1.0 t)) 2.0) t) z)
3.0ms	(/ (fma z (* 2.0 (- 1.0 t)) 2.0) t)

series249.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(fma z (* 2.0 (- 1.0 t)) 2.0)
97.0ms	(+ (/ x y) (/ (/ (fma z (* 2.0 (- 1.0 t)) 2.0) t) z))
59.0ms	(/ (/ (fma z (* 2.0 (- 1.0 t)) 2.0) t) z)
58.0ms	(/ (fma z (* 2.0 (- 1.0 t)) 2.0) t)

simplify62.0ms

Algorithm

egg-herbie

Counts

152 → 152

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	497	1291
1	1634	1212
2	5001	1206

prune424.0ms

Filtered

152 candidates to 127 candidates (83.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	151	1	152
Fresh	1	1	2
Picked	1	0	1
Done	0	2	2
Total	153	4	157

Merged error: 0b

Counts

157 → 4

regimes124.0ms

Accuracy

0% (0.0b 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

sample706.0ms

Algorithm

intervals

Results

427.0ms

10443×

body

valid