Details

sample49.0ms

Algorithm

intervals

Results

21.0ms

360×

body

valid

simplify2.7s

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

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize21.0ms

Local error

Found 1 expressions with local error:

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

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 30

Calls

1 calls:

85.0ms

(/ (- (+ x y) z) (* t 2.0))

series61.0ms

Counts

1 → 3

Calls

1 calls:

61.0ms

(/ (- (+ x y) z) (* t 2.0))

simplify2.3s

Counts

33 → 33

Iterations

Iter	Nodes
done	5002
3	3129
2	667
1	201
0	78

prune157.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize20.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (/ (+ x y) (* t 2.0)) (/ z (* t 2.0)))
0.2b	(/ (+ x y) (* t 2.0))

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 44

Calls

2 calls:

53.0ms	(- (/ (+ x y) (* t 2.0)) (/ z (* t 2.0)))
23.0ms	(/ (+ x y) (* t 2.0))

series105.0ms

Counts

2 → 6

Calls

2 calls:

55.0ms	(- (/ (+ x y) (* t 2.0)) (/ z (* t 2.0)))
50.0ms	(/ (+ x y) (* t 2.0))

simplify2.4s

Counts

50 → 50

Iterations

Iter	Nodes
done	5003
3	2858
2	814
1	263
0	98

prune278.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- (+ x y) z) t)
0.4b	(/ (/ (- (+ x y) z) t) 2.0)

rewrite157.0ms

Algorithm

rewrite-expression-head

Rules

156×	`*-un-lft-identity` `times-frac`
108×	`add-sqr-sqrt`
76×	`add-cube-cbrt`
32×	`distribute-lft-out--`
28×	`associate-/l*`
16×	`distribute-lft-out` `difference-of-squares`
9×	`add-cbrt-cube` `add-exp-log`
6×	`associate-/r*` `div-inv`
4×	`cbrt-undiv` `div-exp`
3×	`div-sub` `associate-/l/`
2×	`pow1` `clear-num` `frac-2neg` `add-log-exp`
1×	`flip3--` `flip--`

Counts

2 → 149

Calls

2 calls:

66.0ms	(/ (- (+ x y) z) t)
84.0ms	(/ (/ (- (+ x y) z) t) 2.0)

series124.0ms

Counts

2 → 6

Calls

2 calls:

58.0ms	(/ (- (+ x y) z) t)
66.0ms	(/ (/ (- (+ x y) z) t) 2.0)

simplify1.6s

Counts

155 → 155

Iterations

Iter	Nodes
done	5001
2	1470
1	512
0	215

prune856.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ x y)) (cbrt (+ x y)))
0.6b	(cbrt (+ x y))
0.6b	(cbrt (+ x y))
0.6b	(cbrt (+ x y))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `swap-sqr` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 95

Calls

4 calls:

38.0ms	(* (cbrt (+ x y)) (cbrt (+ x y)))
5.0ms	(cbrt (+ x y))
5.0ms	(cbrt (+ x y))
5.0ms	(cbrt (+ x y))

series641.0ms

Counts

4 → 12

Calls

4 calls:

193.0ms	(* (cbrt (+ x y)) (cbrt (+ x y)))
156.0ms	(cbrt (+ x y))
147.0ms	(cbrt (+ x y))
145.0ms	(cbrt (+ x y))

simplify1.5s

Counts

107 → 107

Iterations

Iter	Nodes
done	5003
3	1760
2	689
1	275
0	116

prune623.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes361.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	12
1	12
0	10

end0.0ms

sample1.2s

Algorithm

intervals

Results

447.0ms

10940×

body

valid