Details

sample411.0ms

Algorithm

intervals

Results

224.0ms	1282×	body	80	nan
55.0ms	389×	body	80	valid
13.0ms	16×	body	640	valid
5.0ms	11×	body	320	valid
3.0ms	2×	body	1280	valid
3.0ms	11×	body	160	valid

simplify1.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	5004
5	1059
4	334
3	127
2	58
1	30
0	17

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.5b

localize51.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
0.0b	(exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b))))
0.1b	(* y (- (log z) t))
5.3b	(log (- 1.0 z))

rewrite124.0ms

Algorithm

rewrite-expression-head

Rules

27×	`log-prod`
24×	`add-sqr-sqrt`
23×	`*-un-lft-identity`
22×	`associate--l+`
17×	`distribute-rgt-in` `distribute-lft-in`
14×	`associate-+r+` `add-cube-cbrt`
10×	`associate-+l+` `associate-*r/`
9×	`add-log-exp`
8×	`pow1`
7×	`add-exp-log`
6×	`sub-neg` `flip3--` `add-cbrt-cube` `associate-r` `flip--`
5×	`distribute-lft-out--`
4×	`frac-add` `insert-posit16` `difference-of-squares`
3×	`exp-prod` `associate-l`
2×	`log-div` `sum-log` `log-pow` `rem-exp-log`
1×	`+-commutative` `flip3-+` `rem-log-exp` `exp-sum` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

4 → 105

Calls

4 calls:

28.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
47.0ms	(exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b))))
39.0ms	(* y (- (log z) t))
7.0ms	(log (- 1.0 z))

series594.0ms

Counts

4 → 12

Calls

4 calls:

244.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
190.0ms	(exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b))))
107.0ms	(* y (- (log z) t))
53.0ms	(log (- 1.0 z))

simplify1.8s

Counts

117 → 117

Iterations

Iter	Nodes
done	5003
2	1973
1	643
0	258

prune776.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (+ (* y (- (log z) t)) (* a (- (- (- (log 1.0) (/ 1/2 (* (/ 1.0 z) (/ 1.0 z)))) (* 1.0 z)) b))))
0.1b	(* y (- (log z) t))
0.3b	(* (/ 1.0 z) (/ 1.0 z))
1.0b	(/ 1/2 (* (/ 1.0 z) (/ 1.0 z)))

rewrite372.0ms

Algorithm

rewrite-expression-head

Rules

55×	`add-sqr-sqrt`
43×	`times-frac`
42×	`*-un-lft-identity`
39×	`add-cube-cbrt`
36×	`add-cbrt-cube` `add-exp-log`
19×	`associate-r`
16×	`associate-l`
14×	`pow1`
13×	`cbrt-undiv` `swap-sqr` `div-exp`
9×	`prod-exp` `cbrt-unprod`
7×	`add-log-exp`
6×	`log-prod` `associate--l+`
5×	`distribute-rgt-in` `distribute-lft-in` `div-inv` `unswap-sqr`
4×	`associate-*r/` `insert-posit16`
3×	`exp-prod` `associate-/r/` `associate-/l*`
2×	`frac-times` `sub-neg` `pow-prod-down` `associate-l/` `-commutative` `distribute-lft-out--` `rem-exp-log`
1×	`pow2` `clear-num` `associate-/r*` `sum-log` `frac-2neg` `pow-plus` `flip3--` `exp-sum` `pow-sqr` `log-pow` `pow-prod-up` `flip--` `difference-of-squares`

Counts

4 → 147

Calls

4 calls:

297.0ms	(exp (+ (* y (- (log z) t)) (* a (- (- (- (log 1.0) (/ 1/2 (* (/ 1.0 z) (/ 1.0 z)))) (* 1.0 z)) b))))
30.0ms	(* y (- (log z) t))
23.0ms	(* (/ 1.0 z) (/ 1.0 z))
14.0ms	(/ 1/2 (* (/ 1.0 z) (/ 1.0 z)))

series357.0ms

Counts

4 → 12

Calls

4 calls:

197.0ms	(exp (+ (* y (- (log z) t)) (* a (- (- (- (log 1.0) (/ 1/2 (* (/ 1.0 z) (/ 1.0 z)))) (* 1.0 z)) b))))
81.0ms	(* y (- (log z) t))
44.0ms	(* (/ 1.0 z) (/ 1.0 z))
35.0ms	(/ 1/2 (* (/ 1.0 z) (/ 1.0 z)))

simplify2.3s

Counts

159 → 159

Iterations

Iter	Nodes
done	5001
2	2316
1	749
0	269

prune1.2s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize72.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow E (+ (* y (- (log z) t)) (* a (- (- (- (log 1.0) (/ 1/2 (* (/ 1.0 z) (/ 1.0 z)))) (* 1.0 z)) b))))
0.1b	(* y (- (log z) t))
0.3b	(* (/ 1.0 z) (/ 1.0 z))
1.0b	(/ 1/2 (* (/ 1.0 z) (/ 1.0 z)))

rewrite341.0ms

Algorithm

rewrite-expression-head

Rules

56×	`add-sqr-sqrt`
43×	`*-un-lft-identity` `times-frac`
40×	`add-cube-cbrt`
37×	`add-exp-log`
36×	`add-cbrt-cube`
19×	`associate-r`
16×	`associate-l`
15×	`pow1`
13×	`cbrt-undiv` `swap-sqr` `div-exp`
9×	`prod-exp` `cbrt-unprod`
6×	`log-prod` `associate--l+`
5×	`distribute-rgt-in` `distribute-lft-in` `div-inv` `unswap-sqr`
4×	`associate-*r/` `insert-posit16` `add-log-exp`
3×	`pow-unpow` `unpow-prod-down` `associate-/r/` `associate-/l*`
2×	`frac-times` `sub-neg` `pow-prod-down` `associate-l/` `pow-exp` `-commutative` `distribute-lft-out--`
1×	`pow2` `pow-to-exp` `unpow-prod-up` `e-exp-1` `clear-num` `associate-/r*` `pow-pow` `frac-2neg` `pow-plus` `flip3--` `pow-sqr` `log-pow` `pow-prod-up` `flip--` `difference-of-squares` `sqr-pow`

Counts

4 → 153

Calls

4 calls:

261.0ms	(pow E (+ (* y (- (log z) t)) (* a (- (- (- (log 1.0) (/ 1/2 (* (/ 1.0 z) (/ 1.0 z)))) (* 1.0 z)) b))))
34.0ms	(* y (- (log z) t))
23.0ms	(* (/ 1.0 z) (/ 1.0 z))
15.0ms	(/ 1/2 (* (/ 1.0 z) (/ 1.0 z)))

series400.0ms

Counts

4 → 12

Calls

4 calls:

209.0ms	(pow E (+ (* y (- (log z) t)) (* a (- (- (- (log 1.0) (/ 1/2 (* (/ 1.0 z) (/ 1.0 z)))) (* 1.0 z)) b))))
104.0ms	(* y (- (log z) t))
36.0ms	(* (/ 1.0 z) (/ 1.0 z))
51.0ms	(/ 1/2 (* (/ 1.0 z) (/ 1.0 z)))

simplify2.4s

Counts

165 → 165

Iterations

Iter	Nodes
done	5004
2	2452
1	811
0	283

prune1.2s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize84.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- (log z) t))
0.5b	(cbrt (- (log z) t))
0.5b	(* (cbrt (- (log z) t)) (cbrt (- (log z) t)))
1.0b	(/ 1/2 (* (/ 1.0 z) (/ 1.0 z)))

rewrite131.0ms

Algorithm

rewrite-expression-head

Rules

52×	`cbrt-prod`
50×	`*-un-lft-identity`
36×	`add-sqr-sqrt`
24×	`add-exp-log`
22×	`add-cbrt-cube`
21×	`pow1`
20×	`distribute-lft-out--`
16×	`cbrt-div` `add-cube-cbrt`
15×	`swap-sqr`
10×	`log-pow`
9×	`cbrt-undiv` `div-exp` `associate-r` `associate-l`
8×	`flip3--` `pow1/3` `flip--`
6×	`difference-of-squares`
5×	`frac-times` `prod-exp` `cbrt-unprod`
4×	`insert-posit16` `add-log-exp` `unswap-sqr`
3×	`times-frac` `associate-l/` `associate-r/` `associate-/r/` `associate-/l*`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `clear-num` `associate-/r` `frac-2neg` `pow-plus` `-commutative` `div-inv`

Counts

4 → 129

Calls

4 calls:

10.0ms	(cbrt (- (log z) t))
8.0ms	(cbrt (- (log z) t))
74.0ms	(* (cbrt (- (log z) t)) (cbrt (- (log z) t)))
32.0ms	(/ 1/2 (* (/ 1.0 z) (/ 1.0 z)))

series364.0ms

Counts

4 → 12

Calls

4 calls:

95.0ms	(cbrt (- (log z) t))
99.0ms	(cbrt (- (log z) t))
126.0ms	(* (cbrt (- (log z) t)) (cbrt (- (log z) t)))
43.0ms	(/ 1/2 (* (/ 1.0 z) (/ 1.0 z)))

simplify1.9s

Counts

141 → 141

Iterations

Iter	Nodes
done	5000
2	2028
1	664
0	259

prune1.2s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

regimes443.0ms

Accuracy

0% (0.0b remaining)

Error of 0.4b against oracle of 0.4b and baseline of 0.4b

bsearch0.0ms

simplify7.0ms

Iterations

Iter	Nodes
done	32
1	32
0	26

end0.0ms

sample10.6s

Algorithm

intervals

Results

6.5s	40046×	body	80	nan
1.4s	12293×	body	80	valid
208.0ms	375×	body	640	valid
145.0ms	409×	body	320	valid
88.0ms	252×	body	160	valid
62.0ms	60×	body	1280	valid