Details

sample25.0ms

Algorithm

intervals

Results

11.0ms

256×

body

valid

simplify98.0ms

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 26.4b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ x y) z)
1.3b	(+ (* (+ x y) z) (* (+ t y) a))
2.8b	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
24.8b	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

rewrite122.0ms

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	(* (+ x y) z)
5.0ms	(+ (* (+ x y) z) (* (+ t y) a))
32.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
72.0ms	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

series734.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(* (+ x y) z)
45.0ms	(+ (* (+ x y) z) (* (+ t y) a))
95.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
572.0ms	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

simplify62.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	523	1089
1	2308	1025
2	5001	1025

prune342.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 7.6b

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 1 (/ (+ (+ x t) y) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))))
1.3b	(+ (* (+ x y) z) (* (+ t y) a))
2.8b	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
24.9b	(/ (+ (+ x t) y) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))

rewrite154.0ms

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:

51.0ms	(/ 1 (/ (+ (+ x t) y) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))))
5.0ms	(+ (* (+ x y) z) (* (+ t y) a))
31.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
58.0ms	(/ (+ (+ x t) y) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))

series801.0ms

Counts

4 → 12

Calls

4 calls:

562.0ms	(/ 1 (/ (+ (+ x t) y) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))))
47.0ms	(+ (* (+ x y) z) (* (+ t y) a))
96.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
96.0ms	(/ (+ (+ 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

prune415.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 4.1b

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 1 (/ (+ (+ x t) y) (+ (+ (* (+ x y) z) (* (+ t y) a)) (- (* y b)))))
1.3b	(+ (* (+ x y) z) (* (+ t y) a))
2.8b	(+ (+ (* (+ x y) z) (* (+ t y) a)) (- (* y b)))
24.9b	(/ (+ (+ x t) y) (+ (+ (* (+ x y) z) (* (+ t y) a)) (- (* y b))))

rewrite148.0ms

Algorithm

rewrite-expression-head

Rules

241×	`*-un-lft-identity`
178×	`times-frac`
90×	`distribute-lft-out`
82×	`add-sqr-sqrt` `add-cube-cbrt`
30×	`associate-/r*`
17×	`add-exp-log`
16×	`add-log-exp`
12×	`flip3-+` `flip-+`
11×	`associate-/r/` `add-cbrt-cube`
8×	`div-exp` `associate-l/` `associate-/l`
7×	`sum-log`
6×	`div-inv`
5×	`pow1`
4×	`cbrt-undiv` `frac-add`
2×	`+-commutative` `rec-exp` `frac-2neg` `1-exp` `neg-log` `clear-num` `associate-/l/`
1×	`neg-sub0` `associate-+r-` `associate-+l+` `pow-flip` `unsub-neg` `inv-pow`

Counts

4 → 207

Calls

4 calls:

50.0ms	(/ 1 (/ (+ (+ x t) y) (+ (+ (* (+ x y) z) (* (+ t y) a)) (- (* y b)))))
5.0ms	(+ (* (+ x y) z) (* (+ t y) a))
23.0ms	(+ (+ (* (+ x y) z) (* (+ t y) a)) (- (* y b)))
59.0ms	(/ (+ (+ x t) y) (+ (+ (* (+ x y) z) (* (+ t y) a)) (- (* y b))))

series785.0ms

Counts

4 → 12

Calls

4 calls:

552.0ms	(/ 1 (/ (+ (+ x t) y) (+ (+ (* (+ x y) z) (* (+ t y) a)) (- (* y b)))))
45.0ms	(+ (* (+ x y) z) (* (+ t y) a))
93.0ms	(+ (+ (* (+ x y) z) (* (+ t y) a)) (- (* y b)))
95.0ms	(/ (+ (+ x t) y) (+ (+ (* (+ x y) z) (* (+ t y) a)) (- (* y b))))

simplify99.0ms

Algorithm

egg-herbie

Counts

219 → 219

Iterations

Useful iterations: 2 (68.0ms)

Iter	Nodes	Cost
0	729	3804
1	3722	3477
2	5001	3313

prune412.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 4.1b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (+ (+ x t) y))
1.3b	(+ (* (+ x y) z) (* (+ t y) a))
2.8b	(+ (+ (* (+ x y) z) (* (+ t y) a)) (- (* y b)))
24.9b	(* (/ 1 (+ (+ x t) y)) (+ (+ (* (+ x y) z) (* (+ t y) a)) (- (* y b))))

rewrite151.0ms

Algorithm

rewrite-expression-head

Rules

64×	`*-un-lft-identity`
32×	`times-frac`
31×	`add-sqr-sqrt`
24×	`add-cube-cbrt`
23×	`distribute-lft-out`
21×	`associate-l`
17×	`add-exp-log`
16×	`add-log-exp`
11×	`add-cbrt-cube`
10×	`flip3-+` `flip-+`
9×	`associate-*l/`
7×	`pow1` `sum-log`
5×	`associate-/r*`
4×	`div-exp` `associate-r` `frac-add` `prod-exp` `associate-/r/`
3×	`associate-/l*` `unswap-sqr`
2×	`cbrt-undiv` `+-commutative` `frac-times` `rec-exp` `1-exp` `associate-*r/` `neg-log` `cbrt-unprod` `div-inv`
1×	`neg-sub0` `distribute-rgt-in` `associate-+r-` `associate-+l+` `pow-flip` `frac-2neg` `distribute-lft-in` `unsub-neg` `pow-prod-down` `clear-num` `*-commutative` `inv-pow`

Counts

4 → 125

Calls

4 calls:

18.0ms	(/ 1 (+ (+ x t) y))
5.0ms	(+ (* (+ x y) z) (* (+ t y) a))
22.0ms	(+ (+ (* (+ x y) z) (* (+ t y) a)) (- (* y b)))
102.0ms	(* (/ 1 (+ (+ x t) y)) (+ (+ (* (+ x y) z) (* (+ t y) a)) (- (* y b))))

series751.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(/ 1 (+ (+ x t) y))
44.0ms	(+ (* (+ x y) z) (* (+ t y) a))
94.0ms	(+ (+ (* (+ x y) z) (* (+ t y) a)) (- (* y b)))
557.0ms	(* (/ 1 (+ (+ x t) y)) (+ (+ (* (+ x y) z) (* (+ t y) a)) (- (* y b))))

simplify90.0ms

Algorithm

egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 2 (77.0ms)

Iter	Nodes	Cost
0	711	1400
1	4359	1242
2	5002	1209

prune331.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 4.1b

regimes662.0ms

Accuracy

85.9% (3.1b remaining)

Error of 7.5b against oracle of 4.5b and baseline of 26.4b

bsearch2.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	33
1	43	33
2	43	33

end0.0ms

sample620.0ms

Algorithm

intervals

Results

352.0ms

8000×

body

valid