Details

sample30.0ms

Algorithm

intervals

Results

12.0ms

318×

body

valid

simplify65.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 4 (15.0ms)

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

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 8.3b

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)))
8.3b	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

rewrite100.0ms

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:

31.0ms	(* (* z 2.0) (- 1.0 t))
32.0ms	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
33.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

series144.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(* (* z 2.0) (- 1.0 t))
47.0ms	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
56.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

simplify70.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 2 (57.0ms)

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

prune240.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

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))

rewrite32.0ms

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:

0.0ms	(fma 2.0 (/ 1 (* t z)) (- (* 2.0 (/ 1 t)) 2.0))
16.0ms	(+ (/ x y) (fma 2.0 (/ 1 (* t z)) (- (* 2.0 (/ 1 t)) 2.0)))
13.0ms	(/ 1 (* t z))

series96.0ms

Counts

3 → 9

Calls

3 calls:

30.0ms	(fma 2.0 (/ 1 (* t z)) (- (* 2.0 (/ 1 t)) 2.0))
54.0ms	(+ (/ x y) (fma 2.0 (/ 1 (* t z)) (- (* 2.0 (/ 1 t)) 2.0)))
11.0ms	(/ 1 (* t z))

simplify96.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 3 (88.0ms)

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

prune242.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 52

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series669.0ms

Counts

4 → 12

Calls

4 calls:

168.0ms	(cbrt x)
169.0ms	(cbrt y)
164.0ms	(cbrt y)
167.0ms	(cbrt y)

simplify62.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	73	172
1	149	160
2	350	152
3	1283	152
4	5001	152

prune268.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

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))
7.4b	(/ (/ (fma z (* 2.0 (- 1.0 t)) 2.0) t) z)
7.8b	(/ (fma z (* 2.0 (- 1.0 t)) 2.0) t)

rewrite68.0ms

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:

0.0ms	(fma z (* 2.0 (- 1.0 t)) 2.0)
44.0ms	(+ (/ x y) (/ (/ (fma z (* 2.0 (- 1.0 t)) 2.0) t) z))
11.0ms	(/ (/ (fma z (* 2.0 (- 1.0 t)) 2.0) t) z)
8.0ms	(/ (fma z (* 2.0 (- 1.0 t)) 2.0) t)

series205.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(fma z (* 2.0 (- 1.0 t)) 2.0)
82.0ms	(+ (/ x y) (/ (/ (fma z (* 2.0 (- 1.0 t)) 2.0) t) z))
53.0ms	(/ (/ (fma z (* 2.0 (- 1.0 t)) 2.0) t) z)
45.0ms	(/ (fma z (* 2.0 (- 1.0 t)) 2.0) t)

simplify52.0ms

Algorithm

egg-herbie

Counts

152 → 152

Iterations

Useful iterations: 2 (36.0ms)

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

prune441.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes149.0ms

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

sample813.0ms

Algorithm

intervals

Results

424.0ms

10436×

body

valid