Details

sample29.0ms

Algorithm

intervals

Results

12.0ms

338×

body

valid

simplify57.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 4 (10.0ms)

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

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 10.1b

localize14.0ms

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))
9.5b	(/ (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:

0.0ms	(fma z (- 1.0 t) 1)
0.0ms	(fma (/ (fma z (- 1.0 t) 1) z) (/ 2.0 t) (/ x y))
5.0ms	(/ (fma z (- 1.0 t) 1) z)

series126.0ms

Counts

3 → 9

Calls

3 calls:

18.0ms	(fma z (- 1.0 t) 1)
80.0ms	(fma (/ (fma z (- 1.0 t) 1) z) (/ 2.0 t) (/ x y))
28.0ms	(/ (fma z (- 1.0 t) 1) z)

simplify45.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 3 (40.0ms)

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

prune195.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite124.0ms

Algorithm

rewrite-expression-head

Rules

30×	`*-un-lft-identity`
15×	`prod-diff`
13×	`add-sqr-sqrt`
11×	`add-cube-cbrt`
10×	`distribute-lft-out`
7×	`add-log-exp`
5×	`fma-neg` `div-inv`
3×	`distribute-lft-out--`
2×	`pow1` `add-exp-log` `expm1-log1p-u` `diff-log` `add-cbrt-cube` `log1p-expm1-u`
1×	`sub-neg` `flip3--` `associate--l+` `sum-log` `flip--` `fma-udef` `difference-of-squares`

Counts

2 → 50

Calls

2 calls:

122.0ms	(- (+ (/ 1 z) 1.0) t)
0.0ms	(fma (- (+ (/ 1 z) 1.0) t) (/ 2.0 t) (/ x y))

series61.0ms

Counts

2 → 6

Calls

2 calls:

12.0ms	(- (+ (/ 1 z) 1.0) t)
49.0ms	(fma (- (+ (/ 1 z) 1.0) t) (/ 2.0 t) (/ x y))

simplify105.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 3 (99.0ms)

Iter	Nodes	Cost
0	180	438
1	618	303
2	3771	285
3	5001	265

prune118.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
0.0b	(+ 2.0 (* (* z 2.0) (- 1.0 t)))
0.0b	(* (* z 2.0) (- 1.0 t))
10.4b	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

rewrite112.0ms

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:

32.0ms	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
11.0ms	(+ 2.0 (* (* z 2.0) (- 1.0 t)))
33.0ms	(* (* z 2.0) (- 1.0 t))
31.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

series174.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
29.0ms	(+ 2.0 (* (* z 2.0) (- 1.0 t)))
42.0ms	(* (* z 2.0) (- 1.0 t))
60.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

simplify78.0ms

Algorithm

egg-herbie

Counts

149 → 149

Iterations

Useful iterations: 2 (64.0ms)

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

prune316.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize12.0ms

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))
0.6b	(/ 1 (* t z))

rewrite44.0ms

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:

12.0ms	(- (* 2.0 (/ 1 t)) 2.0)
19.0ms	(+ (/ x y) (fma 2.0 (/ 1 (* t z)) (- (* 2.0 (/ 1 t)) 2.0)))
0.0ms	(fma 2.0 (/ 1 (* t z)) (- (* 2.0 (/ 1 t)) 2.0))
11.0ms	(/ 1 (* t z))

series124.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(- (* 2.0 (/ 1 t)) 2.0)
53.0ms	(+ (/ x y) (fma 2.0 (/ 1 (* t z)) (- (* 2.0 (/ 1 t)) 2.0)))
30.0ms	(fma 2.0 (/ 1 (* t z)) (- (* 2.0 (/ 1 t)) 2.0))
11.0ms	(/ 1 (* t z))

simplify43.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 2 (37.0ms)

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

prune235.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes166.0ms

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

sample762.0ms

Algorithm

intervals

Results

400.0ms

10443×

body

valid