Details

sample28.0ms

Algorithm

intervals

Results

13.0ms

340×

body

valid

simplify74.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 4 (16.0ms)

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

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 9.6b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma z (- 1.0 t) 1)
0.1b	(fma (/ (fma z (- 1.0 t) 1) z) (/ 2.0 t) (/ x y))
9.0b	(/ (fma z (- 1.0 t) 1) z)

rewrite4.0ms

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

series154.0ms

Counts

3 → 9

Calls

3 calls:

22.0ms	(fma z (- 1.0 t) 1)
98.0ms	(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 (53.0ms)

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

prune201.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 1 expressions with local error:

0.1b	(fma (- (+ (/ 1 z) 1.0) t) (/ 2.0 t) (/ x y))

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 z) 1.0) t) (/ 2.0 t) (/ x y))

series67.0ms

Counts

1 → 3

Calls

1 calls:

67.0ms

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

simplify113.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 3 (30.0ms)

Iter	Nodes	Cost
0	59	106
1	137	92
2	598	90
3	3188	89
4	5002	89

prune45.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

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))
9.9b	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

rewrite57.0ms

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:

19.0ms	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
6.0ms	(+ 2.0 (* (* z 2.0) (- 1.0 t)))
15.0ms	(* (* z 2.0) (- 1.0 t))
11.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

series221.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
37.0ms	(+ 2.0 (* (* z 2.0) (- 1.0 t)))
52.0ms	(* (* z 2.0) (- 1.0 t))
73.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

simplify95.0ms

Algorithm

egg-herbie

Counts

149 → 149

Iterations

Useful iterations: 2 (81.0ms)

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

prune414.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 106

Calls

4 calls:

11.0ms	(+ (/ x y) (fma 2.0 (/ 1 (* t z)) (- (* 2.0 (/ 1 t)) 2.0)))
8.0ms	(* 2.0 (/ 1 t))
0.0ms	(fma 2.0 (/ 1 (* t z)) (- (* 2.0 (/ 1 t)) 2.0))
5.0ms	(/ 1 (* t z))

series149.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(+ (/ x y) (fma 2.0 (/ 1 (* t z)) (- (* 2.0 (/ 1 t)) 2.0)))
19.0ms	(* 2.0 (/ 1 t))
44.0ms	(fma 2.0 (/ 1 (* t z)) (- (* 2.0 (/ 1 t)) 2.0))
15.0ms	(/ 1 (* t z))

simplify56.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	377	535
1	1557	468
2	5001	446

prune339.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes150.0ms

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

sample700.0ms

Algorithm

intervals

Results

416.0ms

10440×

body

valid