Details

sample37.0ms

Algorithm

intervals

Results

22.0ms	353×	body	80	valid
2.0ms	5×	body	1280	valid
0.0ms	2×	body	640	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	160	valid

simplify37.0ms

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: 0.3b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite917.0ms

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:

60.0ms	(+ (+ (+ y z) z) y)
13.0ms	(+ (+ y z) z)
220.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
622.0ms	(* x (+ (+ (+ (+ y z) z) y) t))

series153.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(+ (+ (+ y z) z) y)
23.0ms	(+ (+ y z) z)
55.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
42.0ms	(* x (+ (+ (+ (+ y z) z) y) t))

simplify47.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (41.0ms)

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

prune188.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite65.0ms

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:

11.0ms	(* (* 2 x) (+ y z))
10.0ms	(+ (* (* 2 x) (+ y z)) (* x t))
43.0ms	(+ (+ (* (* 2 x) (+ y z)) (* x t)) (* y 5.0))

series136.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(* (* 2 x) (+ y z))
44.0ms	(+ (* (* 2 x) (+ y z)) (* x t))
54.0ms	(+ (+ (* (* 2 x) (+ y z)) (* x t)) (* y 5.0))

simplify53.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	340	387
1	1791	357
2	5002	357

prune144.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite101.0ms

Algorithm

rewrite-expression-head

Rules

74×	`*-un-lft-identity`
51×	`cbrt-prod`
33×	`distribute-lft-out`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
14×	`swap-sqr`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
8×	`associate-r` `associate-l`
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 → 105

Calls

4 calls:

70.0ms	(* (cbrt (+ (+ y z) z)) (cbrt (+ (+ y z) z)))
8.0ms	(cbrt (+ (+ y z) z))
10.0ms	(cbrt (+ (+ y z) z))
8.0ms	(cbrt (+ (+ y z) z))

series584.0ms

Counts

4 → 12

Calls

4 calls:

175.0ms	(* (cbrt (+ (+ y z) z)) (cbrt (+ (+ y z) z)))
135.0ms	(cbrt (+ (+ y z) z))
138.0ms	(cbrt (+ (+ y z) z))
136.0ms	(cbrt (+ (+ y z) z))

simplify127.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 3 (114.0ms)

Iter	Nodes	Cost
0	281	989
1	874	938
2	4112	827
3	5002	822

prune335.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (+ (* (* 2 x) (+ y z)) (* x t)) (* y 5.0))) (cbrt (+ (+ (* (* 2 x) (+ y z)) (* x t)) (* y 5.0))))
0.5b	(cbrt (+ (+ (* (* 2 x) (+ y z)) (* x t)) (* y 5.0)))
0.5b	(cbrt (+ (+ (* (* 2 x) (+ y z)) (* x t)) (* y 5.0)))
0.5b	(cbrt (+ (+ (* (* 2 x) (+ y z)) (* x t)) (* y 5.0)))

rewrite298.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
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 → 87

Calls

4 calls:

213.0ms	(* (cbrt (+ (+ (* (* 2 x) (+ y z)) (* x t)) (* y 5.0))) (cbrt (+ (+ (* (* 2 x) (+ y z)) (* x t)) (* y 5.0))))
29.0ms	(cbrt (+ (+ (* (* 2 x) (+ y z)) (* x t)) (* y 5.0)))
26.0ms	(cbrt (+ (+ (* (* 2 x) (+ y z)) (* x t)) (* y 5.0)))
26.0ms	(cbrt (+ (+ (* (* 2 x) (+ y z)) (* x t)) (* y 5.0)))

series1.3s

Counts

4 → 12

Calls

4 calls:

408.0ms	(* (cbrt (+ (+ (* (* 2 x) (+ y z)) (* x t)) (* y 5.0))) (cbrt (+ (+ (* (* 2 x) (+ y z)) (* x t)) (* y 5.0))))
282.0ms	(cbrt (+ (+ (* (* 2 x) (+ y z)) (* x t)) (* y 5.0)))
282.0ms	(cbrt (+ (+ (* (* 2 x) (+ y z)) (* x t)) (* y 5.0)))
280.0ms	(cbrt (+ (+ (* (* 2 x) (+ y z)) (* x t)) (* y 5.0)))

simplify57.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	405	2070
1	1393	1949
2	5001	1834

prune340.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 0.0b

regimes200.0ms

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

sample1.0s

Algorithm

intervals

Results

667.0ms	10604×	body	80	valid
25.0ms	95×	body	1280	valid
25.0ms	111×	body	640	valid
10.0ms	55×	body	320	valid
4.0ms	36×	body	160	valid