Details

sample32.0ms

Algorithm

intervals

Results

18.0ms	326×	body	80	valid
1.0ms	4×	body	640	valid
1.0ms	3×	body	1280	valid
0.0ms	2×	body	160	valid
0.0ms	1×	body	320	valid

simplify38.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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: 0.1b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite911.0ms

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:

612.0ms	(* x (+ (+ (+ (+ y z) z) y) t))
223.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
61.0ms	(+ (+ (+ y z) z) y)
13.0ms	(+ (+ y z) z)

series150.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(* x (+ (+ (+ (+ y z) z) y) t))
58.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
31.0ms	(+ (+ (+ y z) z) y)
23.0ms	(+ (+ y z) z)

simplify50.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (41.0ms)

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

prune178.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite223.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 68

Calls

4 calls:

146.0ms	(* x (+ (+ (+ y z) z) y))
2.0ms	(+ (* t x) (* y 5.0))
58.0ms	(+ (+ (+ y z) z) y)
15.0ms	(+ (+ y z) z)

series131.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(* x (+ (+ (+ y z) z) y))
32.0ms	(+ (* t x) (* y 5.0))
30.0ms	(+ (+ (+ y z) z) y)
23.0ms	(+ (+ y z) z)

simplify43.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	337	378
1	1454	334
2	5002	323

prune178.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt x) (cbrt x))
0.7b	(cbrt x)
0.7b	(cbrt x)
0.7b	(cbrt x)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

6.0ms	(* (cbrt x) (cbrt x))
0.0ms	(cbrt x)
0.0ms	(cbrt x)
1.0ms	(cbrt x)

series721.0ms

Counts

4 → 12

Calls

4 calls:

198.0ms	(* (cbrt x) (cbrt x))
175.0ms	(cbrt x)
176.0ms	(cbrt x)
172.0ms	(cbrt x)

simplify86.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (81.0ms)

Iter	Nodes	Cost
0	115	288
1	472	261
2	2959	238
3	5003	235

prune257.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (+ y z) z) y)
0.0b	(+ (+ y z) z)
0.3b	(pow (+ (* 5.0 y) (* t x)) 3)
35.1b	(cbrt (pow (+ (* 5.0 y) (* t x)) 3))

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

24×	`*-un-lft-identity`
18×	`add-log-exp`
12×	`cbrt-prod`
10×	`add-sqr-sqrt` `add-cube-cbrt`
9×	`sum-log` `distribute-lft-out`
6×	`unpow-prod-down` `cube-prod`
5×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`cube-div` `flip3-+` `flip-+`
3×	`pow-unpow`
2×	`+-commutative` `cube-mult` `associate-+l+` `cbrt-div` `unpow3` `sqr-pow`
1×	`pow-to-exp` `pow-pow` `pow1/3` `pow-exp` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

4 → 80

Calls

4 calls:

60.0ms	(+ (+ (+ y z) z) y)
13.0ms	(+ (+ y z) z)
4.0ms	(pow (+ (* 5.0 y) (* t x)) 3)
4.0ms	(cbrt (pow (+ (* 5.0 y) (* t x)) 3))

series192.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(+ (+ (+ y z) z) y)
23.0ms	(+ (+ y z) z)
104.0ms	(pow (+ (* 5.0 y) (* t x)) 3)
34.0ms	(cbrt (pow (+ (* 5.0 y) (* t x)) 3))

simplify49.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	381	517
1	1606	481
2	5001	468

prune202.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes149.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	8
1	21	8

end0.0ms

sample928.0ms

Algorithm

intervals

Results

594.0ms	10501×	body	80	valid
20.0ms	113×	body	640	valid
20.0ms	89×	body	1280	valid
11.0ms	81×	body	320	valid
4.0ms	41×	body	160	valid