Details

sample30.0ms

Algorithm

intervals

Results

14.0ms

269×

body

valid

simplify3.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
10	4719
9	3869
8	3068
7	1852
6	714
5	334
4	172
3	76
2	38
1	19
0	10

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- y z) (- y t))
0.0b	(- 1.0 (/ x (* (- y z) (- y t))))
7.1b	(/ x (* (- y z) (- y t)))

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 77

Calls

3 calls:

44.0ms	(* (- y z) (- y t))
21.0ms	(- 1.0 (/ x (* (- y z) (- y t))))
13.0ms	(/ x (* (- y z) (- y t)))

series212.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(* (- y z) (- y t))
82.0ms	(- 1.0 (/ x (* (- y z) (- y t))))
92.0ms	(/ x (* (- y z) (- y t)))

simplify1.1s

Counts

86 → 86

Iterations

Iter	Nodes
done	5004
2	1261
1	372
0	151

prune442.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- y z) (- y t))
0.0b	(- 1.0 (/ 1 (/ (* (- y z) (- y t)) x)))
0.9b	(/ 1 (/ (* (- y z) (- y t)) x))
6.6b	(/ (* (- y z) (- y t)) x)

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

38×	`times-frac`
37×	`add-sqr-sqrt`
32×	`*-un-lft-identity` `add-exp-log`
24×	`add-cube-cbrt`
20×	`add-cbrt-cube`
14×	`div-exp`
13×	`flip3--` `flip--`
10×	`associate-/r*`
8×	`frac-times` `associate-/l/`
7×	`pow1` `cbrt-undiv` `div-inv`
6×	`add-log-exp`
5×	`associate-r` `associate-l` `prod-exp` `difference-of-squares`
4×	`associate-l/` `associate-r/` `associate-/l*` `distribute-lft-out--`
3×	`rec-exp` `sub-neg` `1-exp` `cbrt-unprod`
2×	`distribute-rgt-in` `clear-num` `frac-2neg` `distribute-lft-in`
1×	`diff-log` `pow-prod-down` `associate-/r/` `*-commutative` `pow-flip` `inv-pow` `unswap-sqr`

Counts

4 → 136

Calls

4 calls:

32.0ms	(* (- y z) (- y t))
14.0ms	(- 1.0 (/ 1 (/ (* (- y z) (- y t)) x)))
20.0ms	(/ 1 (/ (* (- y z) (- y t)) x))
24.0ms	(/ (* (- y z) (- y t)) x)

series378.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(* (- y z) (- y t))
86.0ms	(- 1.0 (/ 1 (/ (* (- y z) (- y t)) x)))
195.0ms	(/ 1 (/ (* (- y z) (- y t)) x))
57.0ms	(/ (* (- y z) (- y t)) x)

simplify1.8s

Counts

148 → 148

Iterations

Iter	Nodes
done	5010
2	2426
1	631
0	231

prune695.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 1.0 (/ (/ x (- y z)) (- y t)))
0.0b	(/ x (- y z))
1.6b	(/ (/ x (- y z)) (- y t))

rewrite141.0ms

Algorithm

rewrite-expression-head

Rules

213×	`times-frac`
186×	`add-sqr-sqrt`
179×	`*-un-lft-identity`
89×	`add-cube-cbrt`
47×	`difference-of-squares`
45×	`distribute-lft-out--`
24×	`associate-/l*`
16×	`associate-/r/`
10×	`associate-/r*` `add-cbrt-cube` `add-exp-log`
9×	`flip3--` `flip--`
8×	`div-inv`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`pow1`
2×	`clear-num` `frac-2neg`
1×	`sub-neg` `diff-log` `associate-/l/`

Counts

3 → 201

Calls

3 calls:

72.0ms	(- 1.0 (/ (/ x (- y z)) (- y t)))
13.0ms	(/ x (- y z))
40.0ms	(/ (/ x (- y z)) (- y t))

series208.0ms

Counts

3 → 9

Calls

3 calls:

84.0ms	(- 1.0 (/ (/ x (- y z)) (- y t)))
31.0ms	(/ x (- y z))
93.0ms	(/ (/ x (- y z)) (- y t))

simplify1.5s

Counts

210 → 210

Iterations

Iter	Nodes
done	5000
2	2007
1	720
0	296

prune1.1s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 1.0 (* x (/ (/ 1 (- y z)) (- y t))))
0.0b	(/ 1 (- y z))
0.2b	(/ (/ 1 (- y z)) (- y t))
6.6b	(* x (/ (/ 1 (- y z)) (- y t)))

rewrite158.0ms

Algorithm

rewrite-expression-head

Rules

395×	`times-frac`
330×	`add-sqr-sqrt`
319×	`*-un-lft-identity`
158×	`add-cube-cbrt`
111×	`associate-r`
80×	`distribute-lft-out--` `difference-of-squares`
32×	`add-exp-log`
28×	`associate-/r/`
24×	`associate-/l*`
20×	`add-cbrt-cube`
15×	`flip3--` `flip--`
14×	`div-exp` `div-inv`
10×	`associate-/r*`
7×	`pow1` `cbrt-undiv`
6×	`add-log-exp`
5×	`prod-exp`
4×	`unswap-sqr`
3×	`rec-exp` `1-exp` `associate-l` `cbrt-unprod`
2×	`clear-num` `frac-2neg`
1×	`sub-neg` `diff-log` `pow-prod-down` `associate-r/` `-commutative` `pow-flip` `inv-pow` `associate-/l/`

Counts

4 → 339

Calls

4 calls:

5.0ms	(- 1.0 (* x (/ (/ 1 (- y z)) (- y t))))
14.0ms	(/ 1 (- y z))
36.0ms	(/ (/ 1 (- y z)) (- y t))
72.0ms	(* x (/ (/ 1 (- y z)) (- y t)))

series347.0ms

Counts

4 → 12

Calls

4 calls:

116.0ms	(- 1.0 (* x (/ (/ 1 (- y z)) (- y t))))
51.0ms	(/ 1 (- y z))
74.0ms	(/ (/ 1 (- y z)) (- y t))
106.0ms	(* x (/ (/ 1 (- y z)) (- y t)))

simplify1.9s

Counts

351 → 351

Iterations

Iter	Nodes
done	5004
2	2935
1	1053
0	380

prune1.5s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes439.0ms

Accuracy

0% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	11
1	11
0	10

end0.0ms

sample1.1s

Algorithm

intervals

Results

789.0ms

8438×

body

valid