Details

sample36.0ms

Algorithm

intervals

Results

18.0ms

265×

body

valid

simplify4.8s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
8	4425
7	2447
6	898
5	413
4	196
3	80
2	38
1	19
0	10

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.5b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 1.0 (/ x (* (- y z) (- y t))))
0.0b	(* (- y z) (- y t))
9.1b	(/ x (* (- y z) (- y t)))

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

63×	`prod-diff`
49×	`add-sqr-sqrt`
47×	`*-un-lft-identity`
41×	`add-cube-cbrt`
32×	`associate-/r/`
31×	`flip3--` `flip--`
20×	`frac-times`
12×	`times-frac`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`add-cbrt-cube` `associate-l/` `associate-r/` `add-exp-log`
5×	`pow1` `associate-r` `associate-l` `add-log-exp`
4×	`div-inv`
3×	`expm1-log1p-u` `sub-neg` `fma-neg` `insert-posit16` `log1p-expm1-u` `associate-/l*` `distribute-lft-out--` `difference-of-squares`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod`
1×	`clear-num` `associate-/r` `frac-2neg` `diff-log` `pow-prod-down` `-commutative` `unswap-sqr`

Counts

3 → 152

Calls

3 calls:

30.0ms	(- 1.0 (/ x (* (- y z) (- y t))))
42.0ms	(* (- y z) (- y t))
15.0ms	(/ x (* (- y z) (- y t)))

series211.0ms

Counts

3 → 9

Calls

3 calls:

93.0ms	(- 1.0 (/ x (* (- y z) (- y t))))
34.0ms	(* (- y z) (- y t))
83.0ms	(/ x (* (- y z) (- y t)))

simplify1.6s

Counts

161 → 161

Iterations

Iter	Nodes
done	5011
2	2541
1	800
0	314

prune818.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize28.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 1.0 (/ (/ x (- y z)) (- y t)))
0.0b	(/ x (- y z))
0.7b	(/ (/ x (- y z)) (- y t))

rewrite105.0ms

Algorithm

rewrite-expression-head

Rules

753×	`times-frac`
715×	`add-sqr-sqrt`
708×	`*-un-lft-identity`
402×	`add-cube-cbrt`
333×	`prod-diff`
155×	`difference-of-squares`
153×	`distribute-lft-out--`
52×	`associate-/r/`
27×	`flip3--` `flip--`
26×	`div-inv`
24×	`associate-/l*`
10×	`associate-/r*` `add-cbrt-cube` `add-exp-log`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`expm1-log1p-u` `pow1` `fma-neg` `insert-posit16` `log1p-expm1-u`
2×	`clear-num` `frac-2neg`
1×	`sub-neg` `diff-log` `associate-/l/`

Counts

3 → 546

Calls

3 calls:

41.0ms	(- 1.0 (/ (/ x (- y z)) (- y t)))
11.0ms	(/ x (- y z))
28.0ms	(/ (/ x (- y z)) (- y t))

series225.0ms

Counts

3 → 9

Calls

3 calls:

92.0ms	(- 1.0 (/ (/ x (- y z)) (- y t)))
43.0ms	(/ x (- y z))
90.0ms	(/ (/ x (- y z)) (- y t))

simplify1.8s

Counts

555 → 555

Iterations

Iter	Nodes
done	5000
1	2309
0	851

prune2.4s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- y t))
0.6b	(cbrt (- y t))
0.6b	(cbrt (- y t))
0.7b	(/ (/ x (- y z)) (cbrt (- y t)))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

303×	`times-frac`
236×	`add-sqr-sqrt` `*-un-lft-identity`
132×	`add-cube-cbrt`
125×	`cbrt-prod`
52×	`distribute-lft-out--` `difference-of-squares`
21×	`associate-/l*`
20×	`associate-/r/`
13×	`flip3--` `flip--`
10×	`div-inv`
9×	`add-exp-log`
8×	`cbrt-div` `associate-/r*`
7×	`add-cbrt-cube`
4×	`expm1-log1p-u` `pow1` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `pow1/3` `div-exp`
1×	`clear-num` `frac-2neg` `associate-/l/`

Counts

4 → 271

Calls

4 calls:

3.0ms	(cbrt (- y t))
3.0ms	(cbrt (- y t))
3.0ms	(cbrt (- y t))
25.0ms	(/ (/ x (- y z)) (cbrt (- y t)))

series748.0ms

Counts

4 → 12

Calls

4 calls:

178.0ms	(cbrt (- y t))
174.0ms	(cbrt (- y t))
207.0ms	(cbrt (- y t))
188.0ms	(/ (/ x (- y z)) (cbrt (- y t)))

simplify1.6s

Counts

283 → 283

Iterations

Iter	Nodes
done	5001
2	2020
1	825
0	382

prune1.4s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.9b	(/ 1 (* (- y z) (- y t)))
8.8b	(* (/ 1 (* (- y z) (- y t))) x)
8.8b	(* (/ 1 (* (- y z) (- y t))) x)
33.9b	(fma (- (/ 1 (* (- y z) (- y t)))) x (* (/ 1 (* (- y z) (- y t))) x))

rewrite183.0ms

Algorithm

rewrite-expression-head

Rules

53×	`add-exp-log`
30×	`associate-l`
27×	`add-cbrt-cube`
24×	`associate-/r/`
23×	`prod-exp`
18×	`flip3--` `flip--`
16×	`add-sqr-sqrt`
12×	`frac-times` `*-un-lft-identity` `div-exp` `add-cube-cbrt`
11×	`pow1`
9×	`times-frac` `cbrt-unprod`
8×	`associate-*l/`
6×	`cbrt-undiv` `rec-exp` `1-exp` `associate-r` `associate-*r/`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow-prod-down` `div-inv` `associate-/l*`
2×	`*-commutative` `pow-flip` `unswap-sqr`
1×	`clear-num` `associate-/r*` `frac-2neg` `fma-udef` `inv-pow`

Counts

4 → 134

Calls

4 calls:

22.0ms	(/ 1 (* (- y z) (- y t)))
64.0ms	(* (/ 1 (* (- y z) (- y t))) x)
93.0ms	(* (/ 1 (* (- y z) (- y t))) x)
0.0ms	(fma (- (/ 1 (* (- y z) (- y t)))) x (* (/ 1 (* (- y z) (- y t))) x))

series457.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(/ 1 (* (- y z) (- y t)))
142.0ms	(* (/ 1 (* (- y z) (- y t))) x)
135.0ms	(* (/ 1 (* (- y z) (- y t))) x)
108.0ms	(fma (- (/ 1 (* (- y z) (- y t)))) x (* (/ 1 (* (- y z) (- y t))) x))

simplify1.9s

Counts

146 → 146

Iterations

Iter	Nodes
done	5009
2	1566
1	394
0	153

prune858.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes349.0ms

Accuracy

0% (1.1b remaining)

Error of 1.1b against oracle of 0.0b and baseline of 1.1b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	10
0	10

end0.0ms

sample790.0ms

Algorithm

intervals

Results

546.0ms

8452×

body

valid