Details

sample24.0ms

Algorithm

intervals

Results

11.0ms	353×	body	80	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	160	valid

simplify39.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	30	7
1	86	7
2	283	7
3	742	7
4	1197	7
5	1273	7
6	1273	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
0.0b	(+ (+ (+ y z) z) y)
0.0b	(+ (+ y z) z)
0.3b	(* x (+ (+ (+ (+ y z) z) y) t))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity`
20×	`add-log-exp`
19×	`distribute-lft-out`
10×	`sum-log`
8×	`add-sqr-sqrt`
7×	`associate-r`
6×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
4×	`associate-+l+` `flip3-+` `flip-+`
3×	`+-commutative` `associate-l`
2×	`distribute-rgt-in` `distribute-lft-in` `associate-*r/`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 71

Calls

4 calls:

15.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
9.0ms	(+ (+ (+ y z) z) y)
6.0ms	(+ (+ y z) z)
15.0ms	(* x (+ (+ (+ (+ y z) z) y) t))

series181.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
35.0ms	(+ (+ (+ y z) z) y)
27.0ms	(+ (+ y z) z)
49.0ms	(* x (+ (+ (+ (+ y z) z) y) t))

simplify52.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	374	480
1	1624	434
2	5001	419

prune198.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (+ (* (* 2 x) (+ y z)) (* x t)) (* y 5.0))
0.0b	(* (* 2 x) (+ y z))
0.0b	(+ (* (* 2 x) (+ y z)) (* x t))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp`
8×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`*-un-lft-identity`
4×	`add-sqr-sqrt` `add-cube-cbrt` `associate-r` `sum-log`
3×	`associate-+l+` `flip3-+` `pow-prod-down` `prod-exp` `cbrt-unprod` `flip-+`
2×	`+-commutative` `distribute-rgt-in` `distribute-lft-in` `associate-*r/`
1×	`associate-l` `*-commutative` `distribute-lft-out`

Counts

3 → 49

Calls

3 calls:

10.0ms	(+ (+ (* (* 2 x) (+ y z)) (* x t)) (* y 5.0))
7.0ms	(* (* 2 x) (+ y z))
8.0ms	(+ (* (* 2 x) (+ y z)) (* x t))

series159.0ms

Counts

3 → 9

Calls

3 calls:

64.0ms	(+ (+ (* (* 2 x) (+ y z)) (* x t)) (* y 5.0))
44.0ms	(* (* 2 x) (+ y z))
51.0ms	(+ (* (* 2 x) (+ y z)) (* x t))

simplify60.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	340	387
1	1791	357
2	5001	357

prune145.0ms

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 (+ (+ (pow (+ (+ y z) z) 1) y) t)) (* y 5.0))
0.0b	(+ (pow (+ (+ y z) z) 1) y)
0.0b	(+ (+ y z) z)
0.3b	(* x (+ (+ (pow (+ (+ y z) z) 1) y) t))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

18×	`*-un-lft-identity`
13×	`add-log-exp`
8×	`add-sqr-sqrt`
7×	`distribute-lft-out`
6×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
5×	`associate-r` `sum-log`
4×	`flip3-+` `flip-+`
3×	`+-commutative` `associate-+l+` `associate-l`
2×	`distribute-rgt-in` `distribute-lft-in` `associate-*r/`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 64

Calls

4 calls:

16.0ms	(+ (* x (+ (+ (pow (+ (+ y z) z) 1) y) t)) (* y 5.0))
10.0ms	(+ (pow (+ (+ y z) z) 1) y)
6.0ms	(+ (+ y z) z)
19.0ms	(* x (+ (+ (pow (+ (+ y z) z) 1) y) t))

series178.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(+ (* x (+ (+ (pow (+ (+ y z) z) 1) y) t)) (* y 5.0))
34.0ms	(+ (pow (+ (+ y z) z) 1) y)
31.0ms	(+ (+ y z) z)
43.0ms	(* x (+ (+ (pow (+ (+ y z) z) 1) y) t))

simplify55.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	376	512
1	1714	459
2	5002	454

prune217.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (+ (+ (+ y z) z) (+ y t)) (cbrt x))
0.5b	(cbrt x)
0.5b	(cbrt x)
0.5b	(cbrt x)

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

31×	`*-un-lft-identity`
15×	`distribute-lft-out`
14×	`add-sqr-sqrt`
13×	`cbrt-prod`
10×	`add-cube-cbrt`
9×	`associate-l`
6×	`pow1` `add-exp-log` `associate-r` `associate-*l/`
5×	`flip3-+` `add-cbrt-cube` `flip-+`
4×	`frac-add` `add-log-exp`
3×	`pow1/3`
2×	`unswap-sqr`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 67

Calls

4 calls:

16.0ms	(* (+ (+ (+ y z) z) (+ y t)) (cbrt x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series701.0ms

Counts

4 → 12

Calls

4 calls:

119.0ms	(* (+ (+ (+ y z) z) (+ y t)) (cbrt x))
191.0ms	(cbrt x)
200.0ms	(cbrt x)
191.0ms	(cbrt x)

simplify51.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	334	485
1	1658	463
2	5001	449

prune253.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes140.0ms

Accuracy

0% (0.0b 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	20	7
1	20	7

end0.0ms

sample812.0ms

Algorithm

intervals

Results

500.0ms	10706×	body	80	valid
16.0ms	108×	body	1280	valid
15.0ms	97×	body	640	valid
7.0ms	52×	body	320	valid
2.0ms	34×	body	160	valid