Details

sample380.0ms

Algorithm

intervals

Results

165.0ms	1282×	body	80	nan
43.0ms	389×	body	80	valid
9.0ms	16×	body	640	valid
5.0ms	11×	body	160	valid
3.0ms	11×	body	320	valid
2.0ms	2×	body	1280	valid

simplify3.0s

Counts

1 → 1

Iterations

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

prune21.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.5b

localize93.0ms

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))

rewrite569.0ms

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:

71.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
80.0ms	(exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b))))
401.0ms	(* y (- (log z) t))
7.0ms	(log (- 1.0 z))

series900.0ms

Counts

4 → 12

Calls

4 calls:

359.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
329.0ms	(exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b))))
134.0ms	(* y (- (log z) t))
77.0ms	(log (- 1.0 z))

simplify3.7s

Counts

117 → 117

Iterations

Iter	Nodes
done	5001
2	1984
1	662
0	258

prune2.0s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize93.0ms

Local error

Found 4 expressions with local error:

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

rewrite848.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 133

Calls

4 calls:

443.0ms	(* a (- (- (- (log 1.0) (* (* (/ z 1.0) (/ z 1.0)) 1/2)) (* 1.0 z)) b))
126.0ms	(+ (* y (- (log z) t)) (* a (- (- (- (log 1.0) (* (* (/ z 1.0) (/ z 1.0)) 1/2)) (* 1.0 z)) b)))
199.0ms	(exp (+ (* y (- (log z) t)) (* a (- (- (- (log 1.0) (* (* (/ z 1.0) (/ z 1.0)) 1/2)) (* 1.0 z)) b))))
69.0ms	(* y (- (log z) t))

series1.1s

Counts

4 → 12

Calls

4 calls:

194.0ms	(* a (- (- (- (log 1.0) (* (* (/ z 1.0) (/ z 1.0)) 1/2)) (* 1.0 z)) b))
411.0ms	(+ (* y (- (log z) t)) (* a (- (- (- (log 1.0) (* (* (/ z 1.0) (/ z 1.0)) 1/2)) (* 1.0 z)) b)))
356.0ms	(exp (+ (* y (- (log z) t)) (* a (- (- (- (log 1.0) (* (* (/ z 1.0) (/ z 1.0)) 1/2)) (* 1.0 z)) b))))
120.0ms	(* y (- (log z) t))

simplify4.2s

Counts

145 → 145

Iterations

Iter	Nodes
done	5007
2	2235
1	691
0	272

prune2.5s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize101.0ms

Local error

Found 4 expressions with local error:

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

rewrite495.0ms

Algorithm

rewrite-expression-head

Rules

42×	`associate--l+`
25×	`add-exp-log`
24×	`add-cbrt-cube`
20×	`add-sqr-sqrt`
19×	`distribute-rgt-in` `distribute-lft-in`
18×	`associate-+r+` `log-prod` `*-un-lft-identity`
15×	`add-cube-cbrt`
13×	`pow1`
11×	`associate-*r/`
10×	`associate-+l+` `sub-neg` `prod-exp` `cbrt-unprod`
9×	`associate-r`
6×	`add-log-exp`
5×	`flip3--` `flip--`
4×	`cbrt-undiv` `div-exp` `associate-l` `pow-prod-down` `associate-*l/` `frac-add` `insert-posit16`
3×	`pow-unpow` `unpow-prod-down`
2×	`pow-exp` `*-commutative` `distribute-lft-out--` `unswap-sqr`
1×	`frac-times` `pow-to-exp` `unpow-prod-up` `+-commutative` `e-exp-1` `sum-log` `pow-pow` `flip3-+` `log-pow` `flip-+` `difference-of-squares` `sqr-pow`

Counts

4 → 127

Calls

4 calls:

91.0ms	(* (* (/ z 1.0) (/ z 1.0)) 1/2)
184.0ms	(+ (* y (- (log z) t)) (* a (- (- (- (log 1.0) (* (* (/ z 1.0) (/ z 1.0)) 1/2)) (* 1.0 z)) b)))
164.0ms	(pow E (+ (* y (- (log z) t)) (* a (- (- (- (log 1.0) (* (* (/ z 1.0) (/ z 1.0)) 1/2)) (* 1.0 z)) b))))
35.0ms	(* y (- (log z) t))

series1.1s

Counts

4 → 12

Calls

4 calls:

61.0ms	(* (* (/ z 1.0) (/ z 1.0)) 1/2)
498.0ms	(+ (* y (- (log z) t)) (* a (- (- (- (log 1.0) (* (* (/ z 1.0) (/ z 1.0)) 1/2)) (* 1.0 z)) b)))
434.0ms	(pow E (+ (* y (- (log z) t)) (* a (- (- (- (log 1.0) (* (* (/ z 1.0) (/ z 1.0)) 1/2)) (* 1.0 z)) b))))
154.0ms	(* y (- (log z) t))

simplify5.4s

Counts

139 → 139

Iterations

Iter	Nodes
done	5000
2	2773
1	807
0	287

prune2.5s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize225.0ms

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))
0.5b	(* (cbrt (- (log z) t)) (cbrt (- (log z) t)))

rewrite126.0ms

Algorithm

rewrite-expression-head

Rules

58×	`cbrt-prod`
52×	`*-un-lft-identity`
37×	`add-sqr-sqrt`
22×	`pow1` `distribute-lft-out--`
18×	`cbrt-div`
15×	`swap-sqr` `add-cube-cbrt`
11×	`log-pow`
9×	`flip3--` `pow1/3` `associate-r` `associate-l` `flip--`
7×	`difference-of-squares`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `insert-posit16` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 115

Calls

4 calls:

8.0ms	(cbrt (- (log z) t))
7.0ms	(cbrt (- (log z) t))
7.0ms	(cbrt (- (log z) t))
86.0ms	(* (cbrt (- (log z) t)) (cbrt (- (log z) t)))

series850.0ms

Counts

4 → 12

Calls

4 calls:

189.0ms	(cbrt (- (log z) t))
223.0ms	(cbrt (- (log z) t))
168.0ms	(cbrt (- (log z) t))
271.0ms	(* (cbrt (- (log z) t)) (cbrt (- (log z) t)))

simplify6.9s

Counts

127 → 127

Iterations

Iter	Nodes
done	5000
3	4335
2	1340
1	479
0	191

prune2.3s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

regimes1.6s

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify25.0ms

Iterations

Iter	Nodes
done	33
1	33
0	26

end0.0ms

sample12.5s

Algorithm

intervals

Results

6.2s	40046×	body	80	nan
2.0s	12293×	body	80	valid
211.0ms	375×	body	640	valid
145.0ms	409×	body	320	valid
87.0ms	252×	body	160	valid
63.0ms	60×	body	1280	valid