Details

sample57.0ms

Algorithm

intervals

Results

40.0ms

341×

body

valid

simplify80.0ms

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

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 7.3b

localize13.0ms

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))
6.9b	(/ (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)

series156.0ms

Counts

3 → 9

Calls

3 calls:

22.0ms	(fma z (- 1.0 t) 1)
99.0ms	(fma (/ (fma z (- 1.0 t) 1) z) (/ 2.0 t) (/ x y))
35.0ms	(/ (fma z (- 1.0 t) 1) z)

simplify64.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 3 (57.0ms)

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

prune212.0ms

Pruning

8 alts after pruning (8 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))

rewrite89.0ms

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:

87.0ms	(- (+ (/ 1 z) 1.0) t)
0.0ms	(fma (- (+ (/ 1 z) 1.0) t) (/ 2.0 t) (/ x y))

series84.0ms

Counts

2 → 6

Calls

2 calls:

15.0ms	(- (+ (/ 1 z) 1.0) t)
68.0ms	(fma (- (+ (/ 1 z) 1.0) t) (/ 2.0 t) (/ x y))

simplify124.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 3 (118.0ms)

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

prune139.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (- 1) t (pow (cbrt (+ (/ 1 z) 1.0)) 3))
0.2b	(fma (+ (fma (- 1) t (pow (cbrt (+ (/ 1 z) 1.0)) 3)) (- t t)) (/ 2.0 t) (/ x y))
0.3b	(cbrt (+ (/ 1 z) 1.0))
0.4b	(pow (cbrt (+ (/ 1 z) 1.0)) 3)

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity`
15×	`cbrt-prod`
10×	`add-sqr-sqrt` `add-cube-cbrt`
8×	`unpow-prod-down` `cube-prod`
6×	`distribute-lft-out`
5×	`pow1` `add-exp-log`
4×	`expm1-log1p-u` `cbrt-div` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `div-inv`
2×	`cube-div` `pow-pow` `flip3-+` `pow1/3` `flip-+` `fma-udef`
1×	`cube-mult` `pow-to-exp` `unpow3` `pow-exp` `rem-cube-cbrt` `sqr-pow`

Counts

4 → 75

Calls

4 calls:

0.0ms	(fma (- 1) t (pow (cbrt (+ (/ 1 z) 1.0)) 3))
0.0ms	(fma (+ (fma (- 1) t (pow (cbrt (+ (/ 1 z) 1.0)) 3)) (- t t)) (/ 2.0 t) (/ x y))
7.0ms	(cbrt (+ (/ 1 z) 1.0))
17.0ms	(pow (cbrt (+ (/ 1 z) 1.0)) 3)

series546.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(fma (- 1) t (pow (cbrt (+ (/ 1 z) 1.0)) 3))
106.0ms	(fma (+ (fma (- 1) t (pow (cbrt (+ (/ 1 z) 1.0)) 3)) (- t t)) (/ 2.0 t) (/ x y))
114.0ms	(cbrt (+ (/ 1 z) 1.0))
270.0ms	(pow (cbrt (+ (/ 1 z) 1.0)) 3)

simplify71.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	375	629
1	1751	549
2	5002	526

prune314.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite433.0ms

Algorithm

rewrite-expression-head

Rules

46×	`*-un-lft-identity`
29×	`add-sqr-sqrt`
20×	`add-cube-cbrt`
15×	`prod-diff`
13×	`associate-r`
12×	`distribute-lft-out`
10×	`times-frac` `add-log-exp`
8×	`add-exp-log` `add-cbrt-cube`
7×	`associate-l` `div-inv`
6×	`distribute-lft-out--`
5×	`pow1` `flip3--` `fma-neg` `frac-add` `flip--`
4×	`frac-times` `associate-*l/`
3×	`expm1-log1p-u` `log1p-expm1-u`
2×	`diff-log` `associate-*r/` `prod-exp` `sum-log` `cbrt-unprod` `difference-of-squares` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `sub-neg` `fma-def` `flip3-+` `div-exp` `pow-prod-down` `associate--l+` `*-commutative` `flip-+`

Counts

3 → 101

Calls

3 calls:

137.0ms	(+ (* (- (+ (/ 1 z) 1.0) t) (/ 2.0 t)) (/ x y))
87.0ms	(- (+ (/ 1 z) 1.0) t)
205.0ms	(* (- (+ (/ 1 z) 1.0) t) (/ 2.0 t))

series131.0ms

Counts

3 → 9

Calls

3 calls:

67.0ms	(+ (* (- (+ (/ 1 z) 1.0) t) (/ 2.0 t)) (/ x y))
16.0ms	(- (+ (/ 1 z) 1.0) t)
47.0ms	(* (- (+ (/ 1 z) 1.0) t) (/ 2.0 t))

simplify86.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (74.0ms)

Iter	Nodes	Cost
0	467	941
1	2216	776
2	5001	774

prune269.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes148.0ms

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

sample1.6s

Algorithm

intervals

Results

1.3s

10514×

body

valid