Details

sample42.0ms

Algorithm

intervals

Results

21.0ms

333×

body

valid

simplify2.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
27	4892
26	4724
25	4538
24	4371
23	4185
22	4017
21	3831
20	3664
19	3478
18	3310
17	3124
16	2935
15	2735
14	2563
13	2357
12	1964
11	1245
10	808
9	546
8	311
7	187
6	124
5	87
4	70
3	55
2	39
1	20
0	9

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize24.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (+ x y) z)
0.3b	(/ (- (+ x y) z) (* t 2.0))

rewrite142.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity`
10×	`add-sqr-sqrt`
7×	`add-cbrt-cube` `add-exp-log` `add-log-exp`
6×	`times-frac` `associate-/l*` `distribute-lft-out--`
4×	`add-cube-cbrt`
3×	`distribute-lft-out` `difference-of-squares`
2×	`pow1` `cbrt-undiv` `flip3--` `diff-log` `div-exp` `insert-posit16` `flip--` `associate-/l/`
1×	`clear-num` `associate-/r*` `sum-log` `sub-neg` `frac-2neg` `div-sub` `prod-exp` `associate--l+` `cbrt-unprod` `div-inv`

Counts

2 → 49

Calls

2 calls:

64.0ms	(- (+ x y) z)
76.0ms	(/ (- (+ x y) z) (* t 2.0))

series103.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(- (+ x y) z)
74.0ms	(/ (- (+ x y) z) (* t 2.0))

simplify2.0s

Counts

55 → 55

Iterations

Iter	Nodes
done	5007
3	3627
2	784
1	236
0	95

prune241.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize27.0ms

Local error

Found 3 expressions with local error:

0.0b	(* 0.5 (+ (- (/ x t) (/ z t)) (/ y t)))
0.0b	(+ (- (/ x t) (/ z t)) (/ y t))
0.0b	(- (/ x t) (/ z t))

rewrite645.0ms

Algorithm

rewrite-expression-head

Rules

49×	`*-un-lft-identity`
28×	`times-frac`
27×	`add-sqr-sqrt`
13×	`add-cube-cbrt`
12×	`distribute-lft-out--`
10×	`distribute-lft-out` `add-log-exp`
8×	`associate-r` `frac-add`
6×	`associate-*r/`
5×	`pow1` `add-cbrt-cube` `add-exp-log`
4×	`difference-of-squares`
3×	`flip3--` `associate-l` `frac-sub` `insert-posit16` `flip--` `sub-div`
2×	`associate-+l+` `sum-log` `sub-neg` `flip3-+` `diff-log` `flip-+` `div-inv`
1×	`distribute-rgt-in` `+-commutative` `distribute-lft-in` `distribute-rgt-out--` `pow-prod-down` `prod-exp` `*-commutative` `associate-+l-` `cbrt-unprod` `unswap-sqr`

Counts

3 → 81

Calls

3 calls:

457.0ms	(* 0.5 (+ (- (/ x t) (/ z t)) (/ y t)))
144.0ms	(+ (- (/ x t) (/ z t)) (/ y t))
41.0ms	(- (/ x t) (/ z t))

series124.0ms

Counts

3 → 9

Calls

3 calls:

59.0ms	(* 0.5 (+ (- (/ x t) (/ z t)) (/ y t)))
36.0ms	(+ (- (/ x t) (/ z t)) (/ y t))
29.0ms	(- (/ x t) (/ z t))

simplify1.3s

Counts

90 → 90

Iterations

Iter	Nodes
done	5004
2	1344
1	393
0	147

prune356.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (+ x y) (- z))
0.3b	(/ (+ (+ x y) (- z)) (* t 2.0))

rewrite161.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity`
18×	`distribute-lft-out`
12×	`add-log-exp`
7×	`times-frac` `add-cbrt-cube` `add-exp-log` `associate-/l*`
6×	`sum-log` `distribute-rgt-neg-in`
4×	`add-sqr-sqrt` `add-cube-cbrt`
3×	`div-sub`
2×	`neg-sub0` `pow1` `cbrt-undiv` `associate-+r-` `flip3-+` `div-exp` `unsub-neg` `neg-log` `flip-+` `insert-posit16` `associate-/l/`
1×	`+-commutative` `associate-+l+` `clear-num` `associate-/r*` `frac-2neg` `prod-exp` `cbrt-unprod` `div-inv`

Counts

2 → 58

Calls

2 calls:

41.0ms	(+ (+ x y) (- z))
119.0ms	(/ (+ (+ x y) (- z)) (* t 2.0))

series62.0ms

Counts

2 → 6

Calls

2 calls:

18.0ms	(+ (+ x y) (- z))
44.0ms	(/ (+ (+ x y) (- z)) (* t 2.0))

simplify2.1s

Counts

64 → 64

Iterations

Iter	Nodes
done	5000
3	4985
2	1001
1	259
0	95

prune202.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ (/ (- (* (* (+ y x) (+ y x)) (+ y x)) (* (* z z) z)) (+ (* z z) (* (+ y x) (+ z (+ y x))))) (* t 2.0))
1.0b	(+ (* z z) (* (+ y x) (+ z (+ y x))))
4.3b	(- (* (* (+ y x) (+ y x)) (+ y x)) (* (* z z) z))
39.8b	(/ (- (* (* (+ y x) (+ y x)) (+ y x)) (* (* z z) z)) (+ (* z z) (* (+ y x) (+ z (+ y x)))))

rewrite568.0ms

Algorithm

rewrite-expression-head

Rules

54×	`times-frac`
29×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
22×	`pow3` `associate-/l*`
18×	`add-cbrt-cube` `add-exp-log`
11×	`difference-cubes`
8×	`add-log-exp`
7×	`cbrt-undiv` `div-exp`
6×	`associate-/r/`
4×	`pow1` `associate-/r*` `flip3-+` `flip-+` `insert-posit16` `div-inv`
3×	`div-sub` `associate-/l/`
2×	`distribute-rgt-in` `associate-+r+` `clear-num` `frac-2neg` `distribute-lft-in` `flip3--` `prod-exp` `associate--l+` `cbrt-unprod` `flip--`
1×	`+-commutative` `sum-log` `sub-neg` `diff-log`

Counts

4 → 125

Calls

4 calls:

225.0ms	(/ (/ (- (* (* (+ y x) (+ y x)) (+ y x)) (* (* z z) z)) (+ (* z z) (* (+ y x) (+ z (+ y x))))) (* t 2.0))
10.0ms	(+ (* z z) (* (+ y x) (+ z (+ y x))))
85.0ms	(- (* (* (+ y x) (+ y x)) (+ y x)) (* (* z z) z))
244.0ms	(/ (- (* (* (+ y x) (+ y x)) (+ y x)) (* (* z z) z)) (+ (* z z) (* (+ y x) (+ z (+ y x)))))

series651.0ms

Counts

4 → 12

Calls

4 calls:

205.0ms	(/ (/ (- (* (* (+ y x) (+ y x)) (+ y x)) (* (* z z) z)) (+ (* z z) (* (+ y x) (+ z (+ y x))))) (* t 2.0))
100.0ms	(+ (* z z) (* (+ y x) (+ z (+ y x))))
195.0ms	(- (* (* (+ y x) (+ y x)) (+ y x)) (* (* z z) z))
151.0ms	(/ (- (* (* (+ y x) (+ y x)) (+ y x)) (* (* z z) z)) (+ (* z z) (* (+ y x) (+ z (+ y x)))))

simplify2.3s

Counts

137 → 137

Iterations

Iter	Nodes
done	5000
2	2878
1	725
0	239

prune689.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes386.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	13
1	13
0	11

end0.0ms

sample966.0ms

Algorithm

intervals

Results

515.0ms

10859×

body

valid