Details

sample40.0ms

Algorithm

intervals

Results

25.0ms

277×

body

valid

simplify1.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	2000
14	1950
13	1556
12	1129
11	699
10	486
9	335
8	250
7	206
6	169
5	128
4	87
3	50
2	31
1	18
0	10

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.3b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (* y (- z t)) (- z a)))
0.0b	(* y (- z t))
11.1b	(/ (* y (- z t)) (- z a))

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 70

Calls

3 calls:

23.0ms	(+ x (/ (* y (- z t)) (- z a)))
30.0ms	(* y (- z t))
38.0ms	(/ (* y (- z t)) (- z a))

series276.0ms

Counts

3 → 9

Calls

3 calls:

123.0ms	(+ x (/ (* y (- z t)) (- z a)))
61.0ms	(* y (- z t))
93.0ms	(/ (* y (- z t)) (- z a))

simplify614.0ms

Counts

79 → 79

Iterations

Iter	Nodes
done	2001
2	1040
1	349
0	131

prune376.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize25.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ y (/ (- z a) (- z t))))
0.0b	(/ (- z a) (- z t))
3.5b	(/ y (/ (- z a) (- z t)))

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

218×	`times-frac`
197×	`*-un-lft-identity`
195×	`add-sqr-sqrt`
91×	`add-cube-cbrt`
52×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
11×	`associate-/r/`
10×	`add-cbrt-cube` `add-exp-log`
8×	`associate-/l*`
6×	`flip3--` `div-inv` `flip--`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`pow1` `insert-posit16`
2×	`clear-num` `frac-2neg` `associate-/l/`
1×	`+-commutative` `sum-log` `flip3-+` `div-sub` `flip-+` `distribute-lft-out`

Counts

3 → 209

Calls

3 calls:

44.0ms	(+ x (/ y (/ (- z a) (- z t))))
21.0ms	(/ (- z a) (- z t))
15.0ms	(/ y (/ (- z a) (- z t)))

series352.0ms

Counts

3 → 9

Calls

3 calls:

127.0ms	(+ x (/ y (/ (- z a) (- z t))))
65.0ms	(/ (- z a) (- z t))
159.0ms	(/ y (/ (- z a) (- z t)))

simplify631.0ms

Counts

218 → 218

Iterations

Iter	Nodes
done	2000
1	788
0	295

prune911.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize61.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- z a))
0.6b	(cbrt (- z a))
0.6b	(cbrt (- z a))
0.6b	(* (/ 1 (* (/ (cbrt (- z a)) (cbrt (- z t))) (/ (cbrt (- z a)) (cbrt (- z t))))) (/ y (/ (cbrt (- z a)) (cbrt (- z t)))))

rewrite274.0ms

Algorithm

rewrite-expression-head

Rules

444×	`times-frac`
338×	`add-sqr-sqrt`
287×	`*-un-lft-identity`
267×	`cbrt-prod`
235×	`add-exp-log`
215×	`associate-r`
179×	`add-cube-cbrt`
114×	`div-exp`
84×	`prod-exp`
61×	`add-cbrt-cube`
51×	`distribute-lft-out--` `difference-of-squares`
45×	`cbrt-undiv`
30×	`cbrt-unprod`
18×	`unswap-sqr`
15×	`rec-exp` `1-exp`
12×	`cbrt-div`
10×	`associate-l` `associate-/r/`
6×	`pow1` `flip3--` `flip--`
5×	`div-inv`
4×	`insert-posit16` `add-log-exp`
3×	`pow1/3`
2×	`frac-times` `associate-l/` `associate-r/`
1×	`pow-prod-down` `*-commutative`

Counts

4 → 370

Calls

4 calls:

3.0ms	(cbrt (- z a))
3.0ms	(cbrt (- z a))
3.0ms	(cbrt (- z a))
246.0ms	(* (/ 1 (* (/ (cbrt (- z a)) (cbrt (- z t))) (/ (cbrt (- z a)) (cbrt (- z t))))) (/ y (/ (cbrt (- z a)) (cbrt (- z t)))))

series921.0ms

Counts

4 → 12

Calls

4 calls:

191.0ms	(cbrt (- z a))
257.0ms	(cbrt (- z a))
180.0ms	(cbrt (- z a))
293.0ms	(* (/ 1 (* (/ (cbrt (- z a)) (cbrt (- z t))) (/ (cbrt (- z a)) (cbrt (- z t))))) (/ y (/ (cbrt (- z a)) (cbrt (- z t)))))

simplify855.0ms

Counts

382 → 382

Iterations

Iter	Nodes
done	2001
0	651

prune2.3s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 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))
3.7b	(* y (/ (- z t) (- z a)))

rewrite72.0ms

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:

6.0ms	(+ x (* y (/ (- z t) (- z a))))
18.0ms	(/ (- z t) (- z a))
46.0ms	(* y (/ (- z t) (- z a)))

series258.0ms

Counts

3 → 9

Calls

3 calls:

102.0ms	(+ x (* y (/ (- z t) (- z a))))
64.0ms	(/ (- z t) (- z a))
92.0ms	(* y (/ (- z t) (- z a)))

simplify793.0ms

Counts

125 → 125

Iterations

Iter	Nodes
done	2000
2	1369
1	444
0	165

prune474.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes317.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	20
1	20
0	16

end0.0ms

sample1.6s

Algorithm

intervals

Results

1.2s	8707×	body	80	valid
0.0ms	1×	body	2560	valid
0.0ms	2×	body	160	valid