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: 24.7b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ x y) z)
1.3b	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
1.7b	(+ (* (+ x y) z) (* (+ t y) a))
23.2b	(/ (- (+ (* (+ 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	(* (+ 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:

22.0ms	(* (+ x y) z)
99.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
50.0ms	(+ (* (+ x y) z) (* (+ t y) a))
593.0ms	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

simplify72.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 1 (17.0ms)

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

prune323.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 6.7b

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ 1 (/ (+ (+ x t) y) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))))
1.3b	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
1.7b	(+ (* (+ x y) z) (* (+ t y) a))
23.3b	(/ (+ (+ x t) y) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))

rewrite170.0ms

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:

54.0ms	(/ 1 (/ (+ (+ x t) y) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))))
35.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
6.0ms	(+ (* (+ x y) z) (* (+ t y) a))
64.0ms	(/ (+ (+ x t) y) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))

series840.0ms

Counts

4 → 12

Calls

4 calls:

593.0ms	(/ 1 (/ (+ (+ x t) y) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))))
99.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
48.0ms	(+ (* (+ x y) z) (* (+ t y) a))
101.0ms	(/ (+ (+ x t) y) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))

simplify94.0ms

Algorithm

egg-herbie

Counts

188 → 188

Iterations

Useful iterations: 2 (63.0ms)

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

prune381.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 3.7b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ x y) z)
1.3b	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
1.7b	(+ (* (+ x y) z) (* (+ t y) a))
23.2b	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

rewrite126.0ms

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))
75.0ms	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

series764.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* (+ x y) z)
98.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
53.0ms	(+ (* (+ x y) z) (* (+ t y) a))
593.0ms	(/ (- (+ (* (+ 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

prune309.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 3.7b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (+ (+ x t) y))
1.3b	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
1.7b	(+ (* (+ x y) z) (* (+ t y) a))
23.3b	(* (/ 1 (+ (+ x t) y)) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))

rewrite175.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 123

Calls

4 calls:

18.0ms	(/ 1 (+ (+ x t) y))
33.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
7.0ms	(+ (* (+ x y) z) (* (+ t y) a))
112.0ms	(* (/ 1 (+ (+ x t) y)) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))

series789.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(/ 1 (+ (+ x t) y))
97.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
51.0ms	(+ (* (+ x y) z) (* (+ t y) a))
589.0ms	(* (/ 1 (+ (+ x t) y)) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))

simplify81.0ms

Algorithm

egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	610	1367
1	3063	1234
2	5001	1202

prune311.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 3.7b

regimes507.0ms

Accuracy

85.9% (3.2b remaining)

Error of 7.4b against oracle of 4.2b and baseline of 26.7b

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

sample597.0ms

Algorithm

intervals

Results

341.0ms	7997×	body	80	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	160	valid