Details

sample45.0ms

Algorithm

intervals

Results

22.0ms

276×

body

valid

simplify3.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
28	4960
27	4766
26	4563
25	4371
24	4168
23	3974
22	3771
21	3579
20	3374
19	3178
18	2963
17	2727
16	2476
15	2172
14	1837
13	1584
12	1041
11	630
10	390
9	314
8	258
7	221
6	185
5	131
4	87
3	54
2	35
1	21
0	10

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y (/ (- z t) (- z a))))
0.0b	(/ (- z t) (- z a))
1.9b	(* y (/ (- z t) (- z a)))

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

76×	`add-sqr-sqrt`
71×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-r`
27×	`add-cube-cbrt`
22×	`distribute-lft-out--` `difference-of-squares`
10×	`add-cbrt-cube` `add-exp-log`
5×	`pow1` `associate-/r` `associate-/l` `add-log-exp`
4×	`associate-/r/`
3×	`flip3--` `associate-l` `insert-posit16` `flip--`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr` `associate-/l/`
1×	`+-commutative` `clear-num` `sum-log` `frac-2neg` `flip3-+` `div-sub` `pow-prod-down` `associate-r/` `-commutative` `flip-+`

Counts

3 → 116

Calls

3 calls:

15.0ms	(+ x (* y (/ (- z t) (- z a))))
30.0ms	(/ (- z t) (- z a))
36.0ms	(* y (/ (- z t) (- z a)))

series276.0ms

Counts

3 → 9

Calls

3 calls:

116.0ms	(+ x (* y (/ (- z t) (- z a))))
76.0ms	(/ (- z t) (- z a))
83.0ms	(* y (/ (- z t) (- z a)))

simplify1.3s

Counts

125 → 125

Iterations

Iter	Nodes
done	5000
2	1369
1	444
0	165

prune652.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ x (* y (/ (- z t) (- z a)))))
1.9b	(* y (/ (- z t) (- z a)))
1.9b	(* y (/ (- z t) (- z a)))
1.9b	(* y (/ (- z t) (- z a)))

rewrite133.0ms

Algorithm

rewrite-expression-head

Rules

116×	`add-sqr-sqrt`
101×	`*-un-lft-identity`
93×	`associate-r`
78×	`times-frac`
41×	`add-cube-cbrt`
30×	`distribute-lft-out--` `difference-of-squares`
19×	`add-cbrt-cube` `add-exp-log`
10×	`pow1`
9×	`associate-l`
6×	`prod-exp` `associate-/r/` `cbrt-unprod` `unswap-sqr`
4×	`insert-posit16` `add-log-exp`
3×	`cbrt-prod` `cbrt-undiv` `flip3--` `div-exp` `pow-prod-down` `associate-r/` `-commutative` `div-inv` `flip--`
2×	`cbrt-div`
1×	`flip3-+` `pow1/3` `flip-+`

Counts

4 → 167

Calls

4 calls:

2.0ms	(cbrt (+ x (* y (/ (- z t) (- z a)))))
38.0ms	(* y (/ (- z t) (- z a)))
38.0ms	(* y (/ (- z t) (- z a)))
52.0ms	(* y (/ (- z t) (- z a)))

series659.0ms

Counts

4 → 12

Calls

4 calls:

407.0ms	(cbrt (+ x (* y (/ (- z t) (- z a)))))
82.0ms	(* y (/ (- z t) (- z a)))
81.0ms	(* y (/ (- z t) (- z a)))
88.0ms	(* y (/ (- z t) (- z a)))

simplify2.7s

Counts

179 → 179

Iterations

Iter	Nodes
done	5002
3	4855
2	1251
1	413
0	172

prune1.4s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize94.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- z a))
1.9b	(* y (/ (- z t) (- z a)))
1.9b	(* y (/ (- z t) (- z a)))
7.2b	(* (/ (/ y (cbrt (- z a))) (cbrt (- z a))) (/ (- z t) (cbrt (- z a))))

rewrite204.0ms

Algorithm

rewrite-expression-head

Rules

568×	`times-frac`
501×	`add-sqr-sqrt`
405×	`*-un-lft-identity`
322×	`cbrt-prod`
252×	`associate-l`
229×	`add-cube-cbrt`
108×	`associate-r`
88×	`distribute-lft-out--` `difference-of-squares`
35×	`add-exp-log`
26×	`add-cbrt-cube`
25×	`unswap-sqr`
24×	`associate-/r/`
22×	`cbrt-div`
13×	`flip3--` `flip--`
12×	`div-inv`
11×	`cbrt-undiv` `div-exp`
10×	`pow1` `prod-exp` `cbrt-unprod`
4×	`insert-posit16` `add-log-exp`
3×	`pow-prod-down` `associate-r/` `-commutative`
1×	`frac-times` `pow1/3` `associate-*l/`

Counts

4 → 456

Calls

4 calls:

6.0ms	(cbrt (- z a))
47.0ms	(* y (/ (- z t) (- z a)))
30.0ms	(* y (/ (- z t) (- z a)))
90.0ms	(* (/ (/ y (cbrt (- z a))) (cbrt (- z a))) (/ (- z t) (cbrt (- z a))))

series592.0ms

Counts

4 → 12

Calls

4 calls:

201.0ms	(cbrt (- z a))
107.0ms	(* y (/ (- z t) (- z a)))
96.0ms	(* y (/ (- z t) (- z a)))
187.0ms	(* (/ (/ y (cbrt (- z a))) (cbrt (- z a))) (/ (- z t) (cbrt (- z a))))

simplify2.3s

Counts

468 → 468

Iterations

Iter	Nodes
done	5001
1	1605
0	506

prune3.6s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize51.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- z t))
0.5b	(cbrt (- z t))
0.5b	(cbrt (- z t))
7.5b	(* (* (* (cbrt (- z t)) (cbrt (- z t))) y) (/ (cbrt (- z t)) (- z a)))

rewrite261.0ms

Algorithm

rewrite-expression-head

Rules

58×	`add-sqr-sqrt` `*-un-lft-identity`
46×	`associate-r`
40×	`cbrt-prod` `times-frac`
30×	`cbrt-div`
28×	`associate-*l/`
26×	`add-cube-cbrt`
25×	`add-exp-log`
18×	`add-cbrt-cube`
16×	`frac-times` `flip3--` `flip--` `distribute-lft-out--` `difference-of-squares`
13×	`pow1`
12×	`prod-exp` `cbrt-unprod`
6×	`pow-prod-down`
5×	`associate-*r/`
4×	`insert-posit16` `add-log-exp`
3×	`cbrt-undiv` `pow1/3` `div-exp`
2×	`associate-/r/`
1×	`associate-l` `*-commutative` `div-inv`

Counts

4 → 136

Calls

4 calls:

3.0ms	(cbrt (- z t))
4.0ms	(cbrt (- z t))
4.0ms	(cbrt (- z t))
247.0ms	(* (* (* (cbrt (- z t)) (cbrt (- z t))) y) (/ (cbrt (- z t)) (- z a)))

series629.0ms

Counts

4 → 12

Calls

4 calls:

150.0ms	(cbrt (- z t))
202.0ms	(cbrt (- z t))
189.0ms	(cbrt (- z t))
88.0ms	(* (* (* (cbrt (- z t)) (cbrt (- z t))) y) (/ (cbrt (- z t)) (- z a)))

simplify2.3s

Counts

148 → 148

Iterations

Iter	Nodes
done	5000
2	2384
1	678
0	240

prune733.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0b

regimes724.0ms

Accuracy

0% (1.3b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 1.3b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	12
1	12
0	10

end0.0ms

sample899.0ms

Algorithm

intervals

Results

544.0ms

8710×

body

valid