Details

sample41.0ms

Algorithm

intervals

Results

26.0ms	337×	body	80	valid
2.0ms	5×	body	1280	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	640	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

localize11.0ms

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))

rewrite935.0ms

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:

226.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
61.0ms	(+ (+ (+ y z) z) y)
13.0ms	(+ (+ y z) z)
633.0ms	(* x (+ (+ (+ (+ y z) z) y) t))

series154.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
30.0ms	(+ (+ (+ y z) z) y)
24.0ms	(+ (+ y z) z)
42.0ms	(* x (+ (+ (+ (+ y z) z) y) t))

simplify50.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (44.0ms)

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

prune194.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

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))

rewrite69.0ms

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:

47.0ms	(+ (+ (* (* 2 x) (+ y z)) (* x t)) (* y 5.0))
11.0ms	(* (* 2 x) (+ y z))
9.0ms	(+ (* (* 2 x) (+ y z)) (* x t))

series145.0ms

Counts

3 → 9

Calls

3 calls:

57.0ms	(+ (+ (* (* 2 x) (+ y z)) (* x t)) (* y 5.0))
44.0ms	(* (* 2 x) (+ y z))
44.0ms	(+ (* (* 2 x) (+ y z)) (* x t))

simplify56.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 1 (11.0ms)

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

prune146.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (+ (+ (+ y z) z) y) t)) (cbrt (+ (+ (+ (+ y z) z) y) t)))
0.8b	(cbrt (+ (+ (+ (+ y z) z) y) t))
0.8b	(cbrt (+ (+ (+ (+ y z) z) y) t))
0.8b	(cbrt (+ (+ (+ (+ y z) z) y) t))

rewrite1.5s

Algorithm

rewrite-expression-head

Rules

233×	`*-un-lft-identity`
150×	`distribute-lft-out`
93×	`cbrt-prod`
30×	`swap-sqr`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
10×	`associate-r` `associate-l`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 131

Calls

4 calls:

1.1s	(* (cbrt (+ (+ (+ (+ y z) z) y) t)) (cbrt (+ (+ (+ (+ y z) z) y) t)))
136.0ms	(cbrt (+ (+ (+ (+ y z) z) y) t))
137.0ms	(cbrt (+ (+ (+ (+ y z) z) y) t))
139.0ms	(cbrt (+ (+ (+ (+ y z) z) y) t))

series1.1s

Counts

4 → 12

Calls

4 calls:

310.0ms	(* (cbrt (+ (+ (+ (+ y z) z) y) t)) (cbrt (+ (+ (+ (+ y z) z) y) t)))
254.0ms	(cbrt (+ (+ (+ (+ y z) z) y) t))
249.0ms	(cbrt (+ (+ (+ (+ y z) z) y) t))
254.0ms	(cbrt (+ (+ (+ (+ y z) z) y) t))

simplify48.0ms

Algorithm

egg-herbie

Counts

143 → 143

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	266	1710
1	1006	1631
2	5001	1338

prune346.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.8b	(cbrt (+ (+ (+ (+ y z) z) y) t))
0.8b	(cbrt (+ (+ (+ (+ y z) z) y) t))
0.8b	(cbrt (+ (+ (+ (+ y z) z) y) t))
0.8b	(cbrt (+ (+ (+ (+ y z) z) y) t))

rewrite548.0ms

Algorithm

rewrite-expression-head

Rules

64×	`*-un-lft-identity`
40×	`distribute-lft-out`
28×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `cbrt-div`
4×	`pow1` `add-exp-log` `flip3-+` `pow1/3` `add-cbrt-cube` `flip-+` `add-log-exp`

Counts

4 → 68

Calls

4 calls:

136.0ms	(cbrt (+ (+ (+ (+ y z) z) y) t))
136.0ms	(cbrt (+ (+ (+ (+ y z) z) y) t))
136.0ms	(cbrt (+ (+ (+ (+ y z) z) y) t))
137.0ms	(cbrt (+ (+ (+ (+ y z) z) y) t))

series1.0s

Counts

4 → 12

Calls

4 calls:

254.0ms	(cbrt (+ (+ (+ (+ y z) z) y) t))
253.0ms	(cbrt (+ (+ (+ (+ y z) z) y) t))
246.0ms	(cbrt (+ (+ (+ (+ y z) z) y) t))
253.0ms	(cbrt (+ (+ (+ (+ y z) z) y) t))

simplify63.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 3 (54.0ms)

Iter	Nodes	Cost
0	142	736
1	429	692
2	2308	656
3	5001	648

prune321.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes127.0ms

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

sample1.2s

Algorithm

intervals

Results

834.0ms	10609×	body	80	valid
28.0ms	87×	body	1280	valid
25.0ms	95×	body	640	valid
10.0ms	52×	body	320	valid
3.0ms	24×	body	160	valid