Details

sample27.0ms

Algorithm

intervals

Results

12.0ms

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: 24.7b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ x y) z)
1.6b	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
2.2b	(+ (* (+ x y) z) (* (+ t y) a))
23.2b	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

rewrite129.0ms

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)
33.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
6.0ms	(+ (* (+ x y) z) (* (+ t y) a))
77.0ms	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

series764.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(* (+ x y) z)
96.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
50.0ms	(+ (* (+ x y) z) (* (+ t y) a))
596.0ms	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

simplify65.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 1 (14.0ms)

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

prune324.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 7.9b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ x y) z)
1.6b	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
2.2b	(+ (* (+ x y) z) (* (+ t y) a))
23.3b	(* (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (/ 1 (+ (+ x t) y)))

rewrite187.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 98

Calls

4 calls:

10.0ms	(* (+ x y) z)
34.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
6.0ms	(+ (* (+ x y) z) (* (+ t y) a))
134.0ms	(* (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (/ 1 (+ (+ x t) y)))

series756.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(* (+ x y) z)
98.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
45.0ms	(+ (* (+ x y) z) (* (+ t y) a))
587.0ms	(* (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (/ 1 (+ (+ x t) y)))

simplify78.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (67.0ms)

Iter	Nodes	Cost
0	606	1129
1	2949	1025
2	5001	1005

prune313.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 7.9b

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 1 (/ (+ (+ x t) y) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))))
1.6b	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
2.2b	(+ (* (+ x y) z) (* (+ t y) a))
23.2b	(/ (+ (+ x t) y) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))

rewrite164.0ms

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:

53.0ms	(/ 1 (/ (+ (+ x t) y) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))))
36.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
5.0ms	(+ (* (+ x y) z) (* (+ t y) a))
60.0ms	(/ (+ (+ x t) y) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))

series984.0ms

Counts

4 → 12

Calls

4 calls:

743.0ms	(/ 1 (/ (+ (+ x t) y) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))))
96.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
46.0ms	(+ (* (+ x y) z) (* (+ t y) a))
98.0ms	(/ (+ (+ x t) y) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))

simplify91.0ms

Algorithm

egg-herbie

Counts

188 → 188

Iterations

Useful iterations: 2 (62.0ms)

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

prune365.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 4.3b

localize16.0ms

Local error

Found 4 expressions with local error:

1.0b	(/ 1 (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))
1.6b	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
2.2b	(+ (* (+ x y) z) (* (+ t y) a))
22.1b	(* (+ (+ x t) y) (/ 1 (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))))

rewrite183.0ms

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:

33.0ms	(/ 1 (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))
34.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
5.0ms	(+ (* (+ x y) z) (* (+ t y) a))
108.0ms	(* (+ (+ x t) y) (/ 1 (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))))

series287.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(/ 1 (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))
90.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
46.0ms	(+ (* (+ x y) z) (* (+ t y) a))
92.0ms	(* (+ (+ x t) y) (/ 1 (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))))

simplify70.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 2 (58.0ms)

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

prune291.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 4.3b

regimes532.0ms

Accuracy

84.2% (3.5b remaining)

Error of 8.1b against oracle of 4.6b and baseline of 26.7b

bsearch2.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	33
1	42	33

end0.0ms

sample659.0ms

Algorithm

intervals

Results

368.0ms	7994×	body	80	valid
0.0ms	2×	body	1280	valid
0.0ms	2×	body	640	valid
0.0ms	2×	body	320	valid