Details

sample25.0ms

Algorithm

intervals

Results

11.0ms

256×

body

valid

simplify103.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	32	10
1	71	10
2	184	10
3	381	10
4	682	10
5	1102	10
6	2122	10
7	4337	10
8	5001	10

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ t y) a)
1.6b	(+ (* (+ x y) z) (* (+ t y) a))
2.2b	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
26.2b	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

rewrite130.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 90

Calls

4 calls:

10.0ms	(* (+ t y) a)
6.0ms	(+ (* (+ x y) z) (* (+ t y) a))
35.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
77.0ms	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

series775.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(* (+ t y) a)
48.0ms	(+ (* (+ x y) z) (* (+ t y) a))
100.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
602.0ms	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

simplify68.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	520	1087
1	2308	1025
2	5003	1025

prune329.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 10.4b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (+ (+ x t) y))
1.6b	(+ (* (+ x y) z) (* (+ t y) a))
2.2b	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
26.2b	(* (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (/ 1 (+ (+ x t) y)))

rewrite197.0ms

Algorithm

rewrite-expression-head

Rules

60×	`*-un-lft-identity`
32×	`times-frac`
31×	`add-sqr-sqrt`
24×	`add-cube-cbrt`
21×	`associate-r` `distribute-lft-out`
17×	`add-exp-log`
11×	`add-cbrt-cube` `add-log-exp`
10×	`associate-*l/`
7×	`pow1` `flip3-+` `flip-+`
5×	`associate-/r*`
4×	`div-exp` `frac-add` `prod-exp` `associate-/r/`
3×	`flip3--` `associate-l` `flip--` `associate-/l*` `unswap-sqr`
2×	`cbrt-undiv` `frac-times` `rec-exp` `diff-log` `1-exp` `sum-log` `cbrt-unprod` `div-inv`
1×	`+-commutative` `sub-neg` `pow-flip` `frac-2neg` `associate-r/` `pow-prod-down` `associate--l+` `clear-num` `un-div-inv` `-commutative` `inv-pow`

Counts

4 → 118

Calls

4 calls:

19.0ms	(/ 1 (+ (+ x t) y))
5.0ms	(+ (* (+ x y) z) (* (+ t y) a))
33.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
134.0ms	(* (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (/ 1 (+ (+ x t) y)))

series776.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(/ 1 (+ (+ x t) y))
44.0ms	(+ (* (+ x y) z) (* (+ t y) a))
93.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
583.0ms	(* (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (/ 1 (+ (+ x t) y)))

simplify69.0ms

Algorithm

egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	562	1271
1	2768	1148
2	5002	1106

prune312.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 10.4b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ t y) a)
1.6b	(+ (* (+ x y) z) (* (+ t y) a))
2.2b	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
26.2b	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

rewrite306.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 90

Calls

4 calls:

10.0ms	(* (+ t y) a)
5.0ms	(+ (* (+ x y) z) (* (+ t y) a))
34.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
254.0ms	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

series720.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(* (+ t y) a)
44.0ms	(+ (* (+ x y) z) (* (+ t y) a))
94.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
559.0ms	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

simplify62.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	520	1087
1	2308	1025
2	5003	1025

prune306.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 10.4b

localize19.0ms

Local error

Found 4 expressions with local error:

1.6b	(+ (* (+ x y) z) (* (+ t y) a))
2.2b	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
10.6b	(/ (/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (* (cbrt (+ (+ x t) y)) (cbrt (+ (+ x t) y)))) (cbrt (+ (+ x t) y)))
15.5b	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (* (cbrt (+ (+ x t) y)) (cbrt (+ (+ x t) y))))

rewrite228.0ms

Algorithm

rewrite-expression-head

Rules

150×	`times-frac`
136×	`*-un-lft-identity`
122×	`cbrt-div`
82×	`associate-/r/`
80×	`cbrt-prod`
66×	`flip3-+` `flip-+`
56×	`add-sqr-sqrt` `add-cube-cbrt`
48×	`distribute-lft-out`
40×	`frac-times`
28×	`associate-*l/`
20×	`associate-*r/`
18×	`add-exp-log` `associate-/l*`
11×	`add-cbrt-cube` `div-inv` `add-log-exp`
9×	`associate-/r*`
7×	`cbrt-undiv` `div-exp`
4×	`pow1` `frac-add`
3×	`div-sub` `associate-/l/`
2×	`flip3--` `frac-2neg` `diff-log` `prod-exp` `clear-num` `sum-log` `flip--` `cbrt-unprod`
1×	`+-commutative` `sub-neg` `associate--l+`

Counts

4 → 224

Calls

4 calls:

5.0ms	(+ (* (+ x y) z) (* (+ t y) a))
32.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
97.0ms	(/ (/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (* (cbrt (+ (+ x t) y)) (cbrt (+ (+ x t) y)))) (cbrt (+ (+ x t) y)))
78.0ms	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (* (cbrt (+ (+ x t) y)) (cbrt (+ (+ x t) y))))

series3.6s

Counts

4 → 12

Calls

4 calls:

44.0ms	(+ (* (+ x y) z) (* (+ t y) a))
95.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
605.0ms	(/ (/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (* (cbrt (+ (+ x t) y)) (cbrt (+ (+ x t) y)))) (cbrt (+ (+ x t) y)))
2.9s	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (* (cbrt (+ (+ x t) y)) (cbrt (+ (+ x t) y))))

simplify138.0ms

Algorithm

egg-herbie

Counts

236 → 236

Iterations

Useful iterations: 2 (86.0ms)

Iter	Nodes	Cost
0	1108	6213
1	4739	5954
2	5003	5898

prune803.0ms

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 5.8b

regimes514.0ms

Accuracy

32.7% (12.6b remaining)

Error of 17.9b against oracle of 5.2b and baseline of 24.0b

bsearch2.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	33
1	48	33
2	48	33

end0.0ms

sample630.0ms

Algorithm

intervals

Results

363.0ms	7995×	body	80	valid
0.0ms	3×	body	160	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	320	valid