Details

sample26.0ms

Algorithm

intervals

Results

9.0ms	326×	body	80	valid
0.0ms	4×	body	320	valid
0.0ms	2×	body	1280	valid
0.0ms	2×	body	640	valid
0.0ms	2×	body	160	valid

simplify40.0ms

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

rewrite1.8s

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:

1.2s	(* x (+ (+ (+ (+ y z) z) y) t))
27.0ms	(+ (+ y z) z)
118.0ms	(+ (+ (+ y z) z) y)
439.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))

series160.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(* x (+ (+ (+ (+ y z) z) y) t))
24.0ms	(+ (+ y z) z)
31.0ms	(+ (+ (+ y z) z) y)
61.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))

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

prune191.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite596.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

327.0ms	(* (+ (+ (+ y z) z) y) x)
27.0ms	(+ (+ y z) z)
116.0ms	(+ (+ (+ y z) z) y)
123.0ms	(+ (* (+ (+ (+ y z) z) y) x) (+ (* t x) (* y 5.0)))

series166.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(* (+ (+ (+ y z) z) y) x)
32.0ms	(+ (+ y z) z)
35.0ms	(+ (+ (+ y z) z) y)
59.0ms	(+ (* (+ (+ (+ y z) z) y) x) (+ (* t x) (* y 5.0)))

simplify69.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	449	648
1	2020	600
2	5001	588

prune221.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (+ y z) z) y)
0.0b	(+ (/ (* (+ (* 2 (+ z y)) t) (* (- (+ (+ (+ y z) z) y) t) x)) (- (+ (+ (+ y z) z) y) t)) (* y 5.0))
0.1b	(* (+ (* 2 (+ z y)) t) (* (- (+ (+ (+ y z) z) y) t) x))
25.2b	(/ (* (+ (* 2 (+ z y)) t) (* (- (+ (+ (+ y z) z) y) t) x)) (- (+ (+ (+ y z) z) y) t))

rewrite8.4s

Algorithm

rewrite-expression-head

Rules

44×	`*-un-lft-identity`
18×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out`
16×	`associate-*l/`
15×	`add-log-exp`
11×	`add-sqr-sqrt`
9×	`pow1`
8×	`frac-times` `flip3-+` `times-frac` `associate-/r*` `flip-+` `associate-/l/` `distribute-lft-out--`
7×	`add-cube-cbrt` `flip3--` `sum-log` `flip--`
6×	`prod-exp` `cbrt-unprod`
4×	`associate-*r/`
3×	`cbrt-undiv` `div-exp` `associate-l` `pow-prod-down`
2×	`+-commutative` `associate-/r/` `difference-of-squares`
1×	`associate-+l+` `frac-2neg` `associate-r` `clear-num` `-commutative` `div-inv` `associate-/l`

Counts

4 → 97

Calls

4 calls:

117.0ms	(+ (+ (+ y z) z) y)
3.2s	(+ (/ (* (+ (* 2 (+ z y)) t) (* (- (+ (+ (+ y z) z) y) t) x)) (- (+ (+ (+ y z) z) y) t)) (* y 5.0))
2.3s	(* (+ (* 2 (+ z y)) t) (* (- (+ (+ (+ y z) z) y) t) x))
2.8s	(/ (* (+ (* 2 (+ z y)) t) (* (- (+ (+ (+ y z) z) y) t) x)) (- (+ (+ (+ y z) z) y) t))

series236.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(+ (+ (+ y z) z) y)
54.0ms	(+ (/ (* (+ (* 2 (+ z y)) t) (* (- (+ (+ (+ y z) z) y) t) x)) (- (+ (+ (+ y z) z) y) t)) (* y 5.0))
108.0ms	(* (+ (* 2 (+ z y)) t) (* (- (+ (+ (+ y z) z) y) t) x))
38.0ms	(/ (* (+ (* 2 (+ z y)) t) (* (- (+ (+ (+ y z) z) y) t) x)) (- (+ (+ (+ y z) z) y) t))

simplify94.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 2 (80.0ms)

Iter	Nodes	Cost
0	621	1581
1	3376	1267
2	5001	1170

prune329.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (/ (+ (* 2 (+ z y)) t) (/ 1 x)) (* y 5.0))
0.3b	(/ (+ (* 2 (+ z y)) t) (/ 1 x))

rewrite165.0ms

Algorithm

rewrite-expression-head

Rules

75×	`times-frac`
44×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
13×	`associate-/r*`
11×	`add-exp-log`
7×	`add-cbrt-cube`
6×	`div-exp`
5×	`div-inv`
4×	`add-log-exp`
3×	`cbrt-undiv` `associate-/l*`
2×	`pow1` `flip3-+` `flip-+` `associate-/l/`
1×	`+-commutative` `rec-exp` `frac-2neg` `1-exp` `clear-num` `sum-log` `associate-/r/`

Counts

2 → 85

Calls

2 calls:

108.0ms	(+ (/ (+ (* 2 (+ z y)) t) (/ 1 x)) (* y 5.0))
54.0ms	(/ (+ (* 2 (+ z y)) t) (/ 1 x))

series88.0ms

Counts

2 → 6

Calls

2 calls:

53.0ms	(+ (/ (+ (* 2 (+ z y)) t) (/ 1 x)) (* y 5.0))
34.0ms	(/ (+ (* 2 (+ z y)) t) (/ 1 x))

simplify54.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	476	960
1	2030	857
2	5001	778

prune169.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes139.0ms

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

sample722.0ms

Algorithm

intervals

Results

306.0ms	10611×	body	80	valid
14.0ms	91×	body	1280	valid
10.0ms	103×	body	640	valid
8.0ms	60×	body	320	valid
2.0ms	34×	body	160	valid