Details

sample61.0ms

Algorithm

intervals

Results

37.0ms

362×

body

valid

simplify3.2s

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: 0.0b

localize25.0ms

Local error

Found 2 expressions with local error:

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

rewrite126.0ms

Algorithm

rewrite-expression-head

Rules

35×	`*-un-lft-identity`
18×	`add-sqr-sqrt`
12×	`prod-diff` `add-cube-cbrt`
7×	`add-cbrt-cube` `add-exp-log` `distribute-lft-out` `add-log-exp`
6×	`times-frac` `associate-/l*` `distribute-lft-out--`
4×	`fma-neg`
3×	`difference-of-squares`
2×	`expm1-log1p-u` `pow1` `cbrt-undiv` `flip3--` `diff-log` `div-exp` `insert-posit16` `log1p-expm1-u` `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 → 69

Calls

2 calls:

40.0ms	(- (+ x y) z)
85.0ms	(/ (- (+ x y) z) (* t 2.0))

series73.0ms

Counts

2 → 6

Calls

2 calls:

21.0ms	(- (+ x y) z)
52.0ms	(/ (- (+ x y) z) (* t 2.0))

simplify2.8s

Counts

75 → 75

Iterations

Iter	Nodes
done	5000
3	4840
2	957
1	307
0	123

prune302.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 2 expressions with local error:

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

rewrite150.0ms

Algorithm

rewrite-expression-head

Rules

64×	`times-frac`
63×	`*-un-lft-identity`
56×	`prod-diff`
38×	`add-sqr-sqrt`
36×	`add-cube-cbrt`
19×	`div-inv`
11×	`distribute-lft-out`
8×	`fma-neg`
7×	`add-cbrt-cube` `add-exp-log`
4×	`associate-/l*` `add-log-exp`
3×	`distribute-lft-out--`
2×	`expm1-log1p-u` `pow1` `cbrt-undiv` `div-exp` `insert-posit16` `log1p-expm1-u` `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 → 114

Calls

2 calls:

35.0ms	(/ (+ x y) (* t 2.0))
112.0ms	(- (/ (+ x y) (* t 2.0)) (/ z (* t 2.0)))

series107.0ms

Counts

2 → 6

Calls

2 calls:

48.0ms	(/ (+ x y) (* t 2.0))
59.0ms	(- (/ (+ x y) (* t 2.0)) (/ z (* t 2.0)))

simplify1.5s

Counts

120 → 120

Iterations

Iter	Nodes
done	5001
2	1343
1	479
0	189

prune655.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (+ x y) z)
0.0b	(/ (* t 2.0) (- (+ x y) z))
0.5b	(/ 1 (/ (* t 2.0) (- (+ x y) z)))

rewrite130.0ms

Algorithm

rewrite-expression-head

Rules

77×	`*-un-lft-identity`
66×	`times-frac`
48×	`add-sqr-sqrt`
34×	`add-cube-cbrt`
29×	`add-exp-log`
18×	`associate-/r*`
17×	`add-cbrt-cube`
14×	`div-exp` `distribute-lft-out--`
12×	`prod-diff`
11×	`associate-/r/` `distribute-lft-out`
8×	`add-log-exp`
7×	`cbrt-undiv` `difference-of-squares`
6×	`flip3--` `div-inv` `flip--`
4×	`pow1` `fma-neg` `prod-exp` `associate-/l*`
3×	`expm1-log1p-u` `rec-exp` `1-exp` `insert-posit16` `log1p-expm1-u`
2×	`clear-num` `frac-2neg` `diff-log` `cbrt-unprod`
1×	`sum-log` `sub-neg` `associate--l+` `pow-flip` `inv-pow`

Counts

3 → 147

Calls

3 calls:

51.0ms	(- (+ x y) z)
37.0ms	(/ (* t 2.0) (- (+ x y) z))
38.0ms	(/ 1 (/ (* t 2.0) (- (+ x y) z)))

series171.0ms

Counts

3 → 9

Calls

3 calls:

31.0ms	(- (+ x y) z)
73.0ms	(/ (* t 2.0) (- (+ x y) z))
66.0ms	(/ 1 (/ (* t 2.0) (- (+ x y) z)))

simplify1.5s

Counts

156 → 156

Iterations

Iter	Nodes
done	5001
2	1636
1	537
0	213

prune460.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.5b	(/ 1 (* (* (cbrt (/ (* t 2.0) (- (+ x y) z))) (cbrt (/ (* t 2.0) (- (+ x y) z)))) (cbrt (/ (* t 2.0) (- (+ x y) z)))))
2.9b	(cbrt (/ (* t 2.0) (- (+ x y) z)))
2.9b	(cbrt (/ (* t 2.0) (- (+ x y) z)))
2.9b	(cbrt (/ (* t 2.0) (- (+ x y) z)))

rewrite341.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
27×	`*-un-lft-identity`
25×	`add-exp-log`
24×	`pow1`
21×	`times-frac`
18×	`add-sqr-sqrt`
15×	`cbrt-div` `pow-flip`
13×	`associate-/r/`
12×	`pow1/3` `add-cube-cbrt`
9×	`add-cbrt-cube` `prod-exp` `pow-prod-up`
6×	`pow-plus` `div-exp` `distribute-lft-out--`
5×	`frac-times` `pow-prod-down` `associate-*l/`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`cbrt-undiv` `rec-exp` `flip3--` `1-exp` `associate-r/` `pow-sqr` `cbrt-unprod` `flip--` `distribute-lft-out` `associate-/l` `difference-of-squares`
2×	`pow2`
1×	`clear-num` `associate-/r*` `frac-2neg` `pow3` `inv-pow`

Counts

4 → 127

Calls

4 calls:

285.0ms	(/ 1 (* (* (cbrt (/ (* t 2.0) (- (+ x y) z))) (cbrt (/ (* t 2.0) (- (+ x y) z)))) (cbrt (/ (* t 2.0) (- (+ x y) z)))))
13.0ms	(cbrt (/ (* t 2.0) (- (+ x y) z)))
24.0ms	(cbrt (/ (* t 2.0) (- (+ x y) z)))
16.0ms	(cbrt (/ (* t 2.0) (- (+ x y) z)))

series1.2s

Counts

4 → 12

Calls

4 calls:

173.0ms	(/ 1 (* (* (cbrt (/ (* t 2.0) (- (+ x y) z))) (cbrt (/ (* t 2.0) (- (+ x y) z)))) (cbrt (/ (* t 2.0) (- (+ x y) z)))))
564.0ms	(cbrt (/ (* t 2.0) (- (+ x y) z)))
267.0ms	(cbrt (/ (* t 2.0) (- (+ x y) z)))
236.0ms	(cbrt (/ (* t 2.0) (- (+ x y) z)))

simplify1.8s

Counts

139 → 139

Iterations

Iter	Nodes
done	5004
3	2899
2	977
1	403
0	193

prune643.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes310.0ms

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	11
1	11
0	9

end0.0ms

sample1.2s

Algorithm

intervals

Results

822.0ms

10946×

body

valid