Details

sample33.0ms

Algorithm

intervals

Results

17.0ms

256×

body

valid

simplify97.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 25.5b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ t y) a)
1.4b	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
2.3b	(+ (* (+ x y) z) (* (+ t y) a))
23.9b	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

rewrite262.0ms

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:

19.0ms	(* (+ t y) a)
72.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
15.0ms	(+ (* (+ x y) z) (* (+ t y) a))
151.0ms	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

series683.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* (+ t y) a)
88.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
42.0ms	(+ (* (+ x y) z) (* (+ t y) a))
534.0ms	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

simplify66.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 1 (13.0ms)

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

prune885.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 9.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 1 (/ (+ (+ x t) y) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))))
1.4b	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
2.3b	(+ (* (+ x y) z) (* (+ t y) a))
23.9b	(/ (+ (+ x t) y) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))

rewrite315.0ms

Algorithm

rewrite-expression-head

Rules

152×	`*-un-lft-identity`
138×	`times-frac`
72×	`add-sqr-sqrt` `add-cube-cbrt`
48×	`distribute-lft-out`
24×	`associate-/r*`
17×	`add-exp-log`
11×	`associate-/r/` `add-cbrt-cube` `add-log-exp`
8×	`div-exp` `associate-l/` `associate-/l`
6×	`flip3--` `flip3-+` `flip--` `flip-+` `div-inv`
5×	`pow1`
4×	`cbrt-undiv` `frac-add`
2×	`rec-exp` `frac-2neg` `diff-log` `1-exp` `clear-num` `sum-log` `associate-/l/`
1×	`+-commutative` `sub-neg` `pow-flip` `associate--l+` `inv-pow`

Counts

4 → 176

Calls

4 calls:

102.0ms	(/ 1 (/ (+ (+ x t) y) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))))
68.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
14.0ms	(+ (* (+ x y) z) (* (+ t y) a))
123.0ms	(/ (+ (+ x t) y) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))

series701.0ms

Counts

4 → 12

Calls

4 calls:

490.0ms	(/ 1 (/ (+ (+ x t) y) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))))
83.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
42.0ms	(+ (* (+ x y) z) (* (+ t y) a))
86.0ms	(/ (+ (+ x t) y) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))

simplify88.0ms

Algorithm

egg-herbie

Counts

188 → 188

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	703	3190
1	3355	2979
2	5002	2861

prune983.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 5.1b

localize15.0ms

Local error

Found 4 expressions with local error:

1.1b	(/ 1 (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))
1.4b	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
2.3b	(+ (* (+ x y) z) (* (+ t y) a))
22.7b	(* (+ (+ x t) y) (/ 1 (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))))

rewrite370.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
26×	`*-un-lft-identity`
20×	`add-cube-cbrt` `times-frac`
17×	`add-exp-log`
15×	`associate-r`
11×	`add-cbrt-cube` `add-log-exp`
10×	`associate-*l/`
7×	`pow1` `flip3-+` `flip-+`
5×	`associate-l`
4×	`div-exp` `frac-add` `prod-exp` `associate-/r/`
3×	`flip3--` `associate-/r` `flip--` `distribute-lft-out` `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 → 106

Calls

4 calls:

70.0ms	(/ 1 (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))
68.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
14.0ms	(+ (* (+ x y) z) (* (+ t y) a))
215.0ms	(* (+ (+ x t) y) (/ 1 (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))))

series266.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(/ 1 (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))
85.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
40.0ms	(+ (* (+ x y) z) (* (+ t y) a))
86.0ms	(* (+ (+ x t) y) (/ 1 (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))))

simplify71.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	570	1403
1	2857	1268
2	5003	1242

prune775.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 5.1b

localize20.0ms

Local error

Found 4 expressions with local error:

2.3b	(+ (* (+ x y) z) (* (+ t y) a))
23.9b	(/ (+ (+ x t) y) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))
23.9b	(/ (+ (+ x t) y) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))
23.9b	(/ (+ (+ x t) y) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))

rewrite376.0ms

Algorithm

rewrite-expression-head

Rules

94×	`*-un-lft-identity`
45×	`times-frac`
36×	`distribute-lft-out`
34×	`add-sqr-sqrt` `add-cube-cbrt`
15×	`associate-/l*`
10×	`add-exp-log` `add-cbrt-cube`
9×	`associate-/r*`
8×	`flip3-+` `associate-*l/` `flip-+`
6×	`associate-/r/` `associate-/l/` `add-log-exp`
4×	`pow1` `frac-add`
3×	`cbrt-undiv` `flip3--` `frac-2neg` `div-exp` `clear-num` `flip--` `div-inv`
1×	`+-commutative` `sum-log`

Counts

4 → 132

Calls

4 calls:

14.0ms	(+ (* (+ x y) z) (* (+ t y) a))
118.0ms	(/ (+ (+ x t) y) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))
118.0ms	(/ (+ (+ x t) y) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))
121.0ms	(/ (+ (+ x t) y) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))

series303.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(+ (* (+ x y) z) (* (+ t y) a))
86.0ms	(/ (+ (+ x t) y) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))
86.0ms	(/ (+ (+ x t) y) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))
87.0ms	(/ (+ (+ x t) y) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))

simplify59.0ms

Algorithm

egg-herbie

Counts

144 → 144

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	421	2151
1	1830	2025
2	5002	2025

prune2.8s

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 5.1b

regimes616.0ms

Accuracy

44.2% (12.6b remaining)

Error of 17.1b against oracle of 4.5b and baseline of 27.0b

bsearch206.0ms

Steps

Iters	Range		Point
2	1.5020433605529676e+140	1.6396378931841617e+140	1.5192426771318668e+140
9	-2.9482391911997282e-95	-9.559948245304189e-102	-2.9165944276875432e-95
7	-2.6650842870887377e-27	-1.1747170166582269e-29	-1.2792503867753462e-29
7	-4.0218020058701393e+49	-1.3475539460780654e+48	-8.9419391595846e+48

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 2 (1.0ms)

Iter	Nodes	Cost
0	48	30
1	51	30
2	57	14
3	60	14
4	66	14
5	77	14
6	84	14
7	85	14
8	85	14

end0.0ms

sample723.0ms

Algorithm

intervals

Results

450.0ms	7998×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	320	valid