Details

sample26.0ms

Algorithm

intervals

Results

13.0ms	333×	body	80	valid
0.0ms	3×	body	640	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	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

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite958.0ms

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:

62.0ms	(+ (+ (+ y z) z) y)
642.0ms	(* x (+ (+ (+ (+ y z) z) y) t))
238.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
14.0ms	(+ (+ y z) z)

series158.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(+ (+ (+ y z) z) y)
40.0ms	(* x (+ (+ (+ (+ y z) z) y) t))
62.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
25.0ms	(+ (+ y z) z)

simplify243.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (43.0ms)

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

prune190.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite241.0ms

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:

159.0ms	(* x (+ (+ (+ y z) z) y))
61.0ms	(+ (+ (+ y z) z) y)
3.0ms	(+ (* t x) (* y 5.0))
16.0ms	(+ (+ y z) z)

series137.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(* x (+ (+ (+ y z) z) y))
34.0ms	(+ (+ (+ y z) z) y)
30.0ms	(+ (* t x) (* y 5.0))
25.0ms	(+ (+ y z) z)

simplify44.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 2 (39.0ms)

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

prune183.0ms

Pruning

5 alts after pruning (4 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)))
0.5b	(cbrt (+ (+ (+ (+ y z) z) y) t))
0.5b	(cbrt (+ (+ (+ (+ y z) z) y) t))
0.5b	(cbrt (+ (+ (+ (+ y z) z) y) t))

rewrite1.6s

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)))
139.0ms	(cbrt (+ (+ (+ (+ y z) z) y) t))
139.0ms	(cbrt (+ (+ (+ (+ y z) z) y) t))
144.0ms	(cbrt (+ (+ (+ (+ y z) z) y) t))

series1.0s

Counts

4 → 12

Calls

4 calls:

306.0ms	(* (cbrt (+ (+ (+ (+ y z) z) y) t)) (cbrt (+ (+ (+ (+ y z) z) y) t)))
250.0ms	(cbrt (+ (+ (+ (+ y z) z) y) t))
247.0ms	(cbrt (+ (+ (+ (+ y z) z) y) t))
246.0ms	(cbrt (+ (+ (+ (+ y z) z) y) t))

simplify50.0ms

Algorithm

egg-herbie

Counts

143 → 143

Iterations

Useful iterations: 2 (34.0ms)

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

prune342.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ (+ (+ (+ y z) z) y) t))
0.5b	(cbrt (+ (+ (+ (+ y z) z) y) t))
5.5b	(- (* (+ (+ (+ y z) z) y) (+ (+ (+ y z) z) y)) (* t t))
29.7b	(cbrt (- (* (+ (+ (+ y z) z) y) (+ (+ (+ y z) z) y)) (* t t)))

rewrite442.0ms

Algorithm

rewrite-expression-head

Rules

35×	`*-un-lft-identity`
20×	`distribute-lft-out`
18×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt`
6×	`cbrt-div` `add-log-exp`
4×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`pow1/3`
2×	`flip3--` `flip3-+` `associate--l+` `flip--` `flip-+` `difference-of-squares`
1×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `diff-log`

Counts

4 → 63

Calls

4 calls:

140.0ms	(cbrt (+ (+ (+ (+ y z) z) y) t))
140.0ms	(cbrt (+ (+ (+ (+ y z) z) y) t))
79.0ms	(- (* (+ (+ (+ y z) z) y) (+ (+ (+ y z) z) y)) (* t t))
82.0ms	(cbrt (- (* (+ (+ (+ y z) z) y) (+ (+ (+ y z) z) y)) (* t t)))

series796.0ms

Counts

4 → 12

Calls

4 calls:

244.0ms	(cbrt (+ (+ (+ (+ y z) z) y) t))
251.0ms	(cbrt (+ (+ (+ (+ y z) z) y) t))
78.0ms	(- (* (+ (+ (+ y z) z) y) (+ (+ (+ y z) z) y)) (* t t))
221.0ms	(cbrt (- (* (+ (+ (+ y z) z) y) (+ (+ (+ y z) z) y)) (* t t)))

simplify38.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	332	871
1	1128	797
2	5001	785

prune318.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes170.0ms

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

sample603.0ms

Algorithm

intervals

Results

315.0ms	10616×	body	80	valid
13.0ms	98×	body	1280	valid
10.0ms	94×	body	640	valid
5.0ms	63×	body	320	valid
2.0ms	39×	body	160	valid