Details

sample41.0ms

Algorithm

intervals

Results

18.0ms

435×

body

valid

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	7
1	48	7
2	81	7
3	98	7
4	98	7

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
0.0b	(+ (* x y) (* z t))
0.0b	(+ (+ (* x y) (* z t)) (* a b))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-log-exp`
10×	`sum-log`
3×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `flip-+`
2×	`associate-+l+`

Counts

3 → 38

Calls

3 calls:

45.0ms	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
2.0ms	(+ (* x y) (* z t))
11.0ms	(+ (+ (* x y) (* z t)) (* a b))

series287.0ms

Counts

3 → 9

Calls

3 calls:

202.0ms	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
34.0ms	(+ (* x y) (* z t))
50.0ms	(+ (+ (* x y) (* z t)) (* a b))

simplify38.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	276	348
1	1151	333
2	5001	333

prune139.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x y) (* z t))
0.0b	(+ (* a b) (* i c))
0.0b	(+ (+ (* x y) (* z t)) (+ (* a b) (* i c)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-log-exp`
10×	`sum-log`
7×	`flip3-+` `flip-+`
5×	`*-un-lft-identity`
4×	`frac-add`
3×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `add-cbrt-cube`
1×	`associate-+l+` `associate-+r+` `distribute-lft-out`

Counts

3 → 43

Calls

3 calls:

2.0ms	(+ (* x y) (* z t))
2.0ms	(+ (* a b) (* i c))
15.0ms	(+ (+ (* x y) (* z t)) (+ (* a b) (* i c)))

series286.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(+ (* x y) (* z t))
33.0ms	(+ (* a b) (* i c))
221.0ms	(+ (+ (* x y) (* z t)) (+ (* a b) (* i c)))

simplify48.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	349	491
1	1641	476
2	5001	456

prune165.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* z t) (* z t))
0.2b	(* (* x y) (* x y))
3.2b	(- (* (* x y) (* x y)) (* (* z t) (* z t)))
24.0b	(/ (- (* (* x y) (* x y)) (* (* z t) (* z t))) (- (* x y) (* z t)))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

82×	`pow1`
34×	`pow-prod-down`
30×	`add-exp-log` `add-cbrt-cube`
16×	`prod-exp` `cbrt-unprod`
13×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
12×	`times-frac`
8×	`pow-sqr` `pow-prod-up`
6×	`add-log-exp`
5×	`difference-of-squares`
4×	`pow-plus` `associate-/l*`
3×	`flip3--` `associate-/r*` `flip--`
2×	`pow2` `swap-sqr` `associate-r` `associate-l` `associate-/r/` `*-commutative` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `clear-num` `div-inv`

Counts

4 → 117

Calls

4 calls:

12.0ms	(* (* z t) (* z t))
9.0ms	(* (* x y) (* x y))
10.0ms	(- (* (* x y) (* x y)) (* (* z t) (* z t)))
31.0ms	(/ (- (* (* x y) (* x y)) (* (* z t) (* z t))) (- (* x y) (* z t)))

series247.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(* (* z t) (* z t))
32.0ms	(* (* x y) (* x y))
109.0ms	(- (* (* x y) (* x y)) (* (* z t) (* z t)))
77.0ms	(/ (- (* (* x y) (* x y)) (* (* z t) (* z t))) (- (* x y) (* z t)))

simplify74.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	413	954
1	2306	805
2	5002	788

prune297.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x y) (* x y))
3.2b	(- (* (* x y) (* x y)) (* (* (* z t) z) t))
4.0b	(* (* (* z t) z) t)
24.0b	(/ (- (* (* x y) (* x y)) (* (* (* z t) z) t)) (- (* x y) (* z t)))

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

52×	`pow1`
27×	`add-exp-log` `add-cbrt-cube`
23×	`pow-prod-down`
14×	`prod-exp` `cbrt-unprod`
13×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
6×	`add-log-exp`
4×	`associate-r` `pow-sqr` `pow-prod-up`
3×	`flip3--` `associate-/r` `flip--` `associate-/l`
2×	`pow-plus` `associate-l` `associate-/r/` `*-commutative` `associate-/l/`
1×	`cbrt-undiv` `pow2` `sub-neg` `frac-2neg` `diff-log` `div-sub` `swap-sqr` `div-exp` `clear-num` `div-inv`

Counts

4 → 99

Calls

4 calls:

9.0ms	(* (* x y) (* x y))
10.0ms	(- (* (* x y) (* x y)) (* (* (* z t) z) t))
21.0ms	(* (* (* z t) z) t)
33.0ms	(/ (- (* (* x y) (* x y)) (* (* (* z t) z) t)) (- (* x y) (* z t)))

series251.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(* (* x y) (* x y))
105.0ms	(- (* (* x y) (* x y)) (* (* (* z t) z) t))
30.0ms	(* (* (* z t) z) t)
80.0ms	(/ (- (* (* x y) (* x y)) (* (* (* z t) z) t)) (- (* x y) (* z t)))

simplify76.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 2 (67.0ms)

Iter	Nodes	Cost
0	432	934
1	2511	804
2	5002	793

prune274.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes327.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	7
1	22	7

end0.0ms

sample1.1s

Algorithm

intervals

Results

550.0ms

13813×

body

valid