Details

sample31.0ms

Algorithm

intervals

Results

15.0ms

332×

body

valid

simplify78.0ms

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

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 9.6b

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)))
9.6b	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

rewrite118.0ms

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:

11.0ms	(+ 2.0 (* (* z 2.0) (- 1.0 t)))
30.0ms	(* (* z 2.0) (- 1.0 t))
37.0ms	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
32.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

series188.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(+ 2.0 (* (* z 2.0) (- 1.0 t)))
42.0ms	(* (* z 2.0) (- 1.0 t))
55.0ms	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
61.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

simplify93.0ms

Algorithm

egg-herbie

Counts

149 → 149

Iterations

Useful iterations: 2 (74.0ms)

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

prune639.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize13.0ms

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)))
0.5b	(/ 1 (* t z))

rewrite35.0ms

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))
21.0ms	(+ (/ x y) (fma 2.0 (/ 1 (* t z)) (- (* 2.0 (/ 1 t)) 2.0)))
12.0ms	(/ 1 (* t z))

series108.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(fma 2.0 (/ 1 (* t z)) (- (* 2.0 (/ 1 t)) 2.0))
56.0ms	(+ (/ x y) (fma 2.0 (/ 1 (* t z)) (- (* 2.0 (/ 1 t)) 2.0)))
13.0ms	(/ 1 (* t z))

simplify106.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 3 (99.0ms)

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

prune333.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 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)))
0.2b	(/ (/ 1 t) z)

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
54×	`*-un-lft-identity`
52×	`add-sqr-sqrt` `add-cube-cbrt`
13×	`fma-def` `associate-/l*`
12×	`add-exp-log`
8×	`add-cbrt-cube`
6×	`div-exp` `div-inv`
5×	`add-log-exp`
3×	`pow1` `cbrt-undiv` `expm1-log1p-u` `associate-/r*` `log1p-expm1-u`
2×	`fma-udef`
1×	`+-commutative` `rec-exp` `associate-+r+` `frac-2neg` `flip3-+` `1-exp` `clear-num` `sum-log` `flip-+` `associate-/l/` `distribute-lft-out`

Counts

3 → 112

Calls

3 calls:

0.0ms	(fma 2.0 (/ (/ 1 t) z) (- (* 2.0 (/ 1 t)) 2.0))
17.0ms	(+ (/ x y) (fma 2.0 (/ (/ 1 t) z) (- (* 2.0 (/ 1 t)) 2.0)))
17.0ms	(/ (/ 1 t) z)

series107.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(fma 2.0 (/ (/ 1 t) z) (- (* 2.0 (/ 1 t)) 2.0))
61.0ms	(+ (/ x y) (fma 2.0 (/ (/ 1 t) z) (- (* 2.0 (/ 1 t)) 2.0)))
12.0ms	(/ (/ 1 t) z)

simplify53.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	435	754
1	1557	686
2	5001	636

prune484.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 1 expressions with local error:

0.1b	(fma (/ 1 t) (+ (/ 2.0 z) 2.0) (- (/ x y) 2.0))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

0.0ms

(fma (/ 1 t) (+ (/ 2.0 z) 2.0) (- (/ x y) 2.0))

series56.0ms

Counts

1 → 3

Calls

1 calls:

55.0ms

(fma (/ 1 t) (+ (/ 2.0 z) 2.0) (- (/ x y) 2.0))

simplify112.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 2 (11.0ms)

Iter	Nodes	Cost
0	58	105
1	133	90
2	549	87
3	3725	87
4	5001	87

prune52.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes153.0ms

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 (0.0ms)

Iter	Nodes	Cost
0	17	6
1	19	6
2	19	6

end0.0ms

sample768.0ms

Algorithm

intervals

Results

473.0ms

10472×

body

valid