Details

sample398.0ms

Algorithm

intervals

Results

179.0ms	1309×	body	80	nan
47.0ms	384×	body	80	valid
5.0ms	10×	body	640	valid
4.0ms	10×	body	320	valid
4.0ms	3×	body	1280	valid
3.0ms	12×	body	160	valid

simplify877.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
5	1299
4	353
3	127
2	58
1	30
0	17

prune30.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 2.7b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (log z) t)
0.1b	(* y (- (log z) t))
0.5b	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
5.0b	(log (- 1.0 z))

rewrite113.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 106

Calls

4 calls:

12.0ms	(- (log z) t)
41.0ms	(* y (- (log z) t))
45.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
8.0ms	(log (- 1.0 z))

series638.0ms

Counts

4 → 12

Calls

4 calls:

116.0ms	(- (log z) t)
124.0ms	(* y (- (log z) t))
333.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
64.0ms	(log (- 1.0 z))

simplify1.4s

Counts

118 → 118

Iterations

Iter	Nodes
done	5000
2	2201
1	617
0	241

prune807.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.0b	(* x (exp (+ (* y (- (log z) t)) (* a (- (- (- (log 1.0) (* 1.0 z)) (* (/ 1/2 1.0) (/ (pow z 2) 1.0))) b)))))
0.0b	(- (log z) t)
0.1b	(* y (- (log z) t))
0.5b	(+ (* y (- (log z) t)) (* a (- (- (- (log 1.0) (* 1.0 z)) (* (/ 1/2 1.0) (/ (pow z 2) 1.0))) b)))

rewrite456.0ms

Algorithm

rewrite-expression-head

Rules

45×	`associate--l+`
23×	`add-sqr-sqrt`
21×	`log-prod` `*-un-lft-identity`
19×	`distribute-rgt-in` `distribute-lft-in`
18×	`associate-+r+`
15×	`add-cube-cbrt`
11×	`sub-neg`
10×	`pow1` `associate-+l+` `associate-r` `associate-*r/`
8×	`add-cbrt-cube`
7×	`add-exp-log` `add-log-exp`
6×	`flip3--` `associate-l` `flip--`
4×	`frac-add` `distribute-lft-out--`
2×	`pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `difference-of-squares` `unswap-sqr`
1×	`+-commutative` `sum-log` `flip3-+` `diff-log` `exp-sum` `flip-+`

Counts

4 → 113

Calls

4 calls:

304.0ms	(* x (exp (+ (* y (- (log z) t)) (* a (- (- (- (log 1.0) (* 1.0 z)) (* (/ 1/2 1.0) (/ (pow z 2) 1.0))) b)))))
6.0ms	(- (log z) t)
34.0ms	(* y (- (log z) t))
105.0ms	(+ (* y (- (log z) t)) (* a (- (- (- (log 1.0) (* 1.0 z)) (* (/ 1/2 1.0) (/ (pow z 2) 1.0))) b)))

series843.0ms

Counts

4 → 12

Calls

4 calls:

323.0ms	(* x (exp (+ (* y (- (log z) t)) (* a (- (- (- (log 1.0) (* 1.0 z)) (* (/ 1/2 1.0) (/ (pow z 2) 1.0))) b)))))
70.0ms	(- (log z) t)
103.0ms	(* y (- (log z) t))
347.0ms	(+ (* y (- (log z) t)) (* a (- (- (- (log 1.0) (* 1.0 z)) (* (/ 1/2 1.0) (/ (pow z 2) 1.0))) b)))

simplify1.0s

Counts

125 → 125

Iterations

Iter	Nodes
done	5000
2	2427
1	630
0	239

prune1.2s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 3 expressions with local error:

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

rewrite148.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
14×	`*-un-lft-identity`
9×	`pow1` `associate-l`
8×	`add-cube-cbrt`
7×	`add-cbrt-cube` `associate-r`
6×	`add-exp-log`
4×	`distribute-lft-out--` `add-log-exp`
3×	`log-prod` `associate--l+`
2×	`flip3--` `pow-prod-down` `associate-l/` `prod-exp` `log-pow` `-commutative` `cbrt-unprod` `flip--` `difference-of-squares` `unswap-sqr`
1×	`sub-neg` `diff-log` `exp-sum`

Counts

3 → 60

Calls

3 calls:

6.0ms	(- (log z) t)
106.0ms	(* x (exp (+ (* (log 1.0) a) (* (- (log z) t) y))))
34.0ms	(* (- (log z) t) y)

series437.0ms

Counts

3 → 9

Calls

3 calls:

83.0ms	(- (log z) t)
249.0ms	(* x (exp (+ (* (log 1.0) a) (* (- (log z) t) y))))
104.0ms	(* (- (log z) t) y)

simplify657.0ms

Counts

69 → 69

Iterations

Iter	Nodes
done	5001
2	1078
1	286
0	128

prune667.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize114.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (pow (/ z (exp t)) y) (pow (exp a) (- (- (- (log 1.0) (* z 1.0)) (/ 1/2 (/ 1.0 (/ (pow z 2) 1.0)))) b)))
0.5b	(pow (exp a) (- (- (- (log 1.0) (* z 1.0)) (/ 1/2 (/ 1.0 (/ (pow z 2) 1.0)))) b))
0.5b	(+ (* y (- (log z) t)) (* a (- (- (- (log 1.0) (* 1.0 z)) (* (/ 1/2 1.0) (/ (pow z 2) 1.0))) b)))
0.7b	(/ 1/2 (/ 1.0 (/ (pow z 2) 1.0)))

rewrite2.1s

Algorithm

rewrite-expression-head

Rules

903×	`times-frac`
431×	`add-sqr-sqrt`
414×	`*-un-lft-identity`
409×	`add-cube-cbrt`
137×	`unpow-prod-down`
89×	`associate-/r*`
66×	`associate--l+`
46×	`sqr-pow`
36×	`unpow2`
33×	`add-exp-log`
18×	`unpow-prod-up` `associate-+r+` `log-prod` `div-inv`
17×	`associate-l`
16×	`associate-r`
15×	`add-cbrt-cube` `div-exp`
14×	`distribute-rgt-in` `sub-neg` `distribute-lft-in`
12×	`pow-exp` `prod-exp` `unswap-sqr`
10×	`associate-+l+`
9×	`pow-to-exp` `associate-*r/`
6×	`cbrt-undiv` `pow-unpow` `add-log-exp`
5×	`pow1` `associate-/r/`
4×	`pow-pow` `flip3--` `frac-add` `flip--`
3×	`exp-prod` `associate-/l*` `distribute-lft-out--`
2×	`pow-sub`
1×	`+-commutative` `clear-num` `sum-log` `frac-2neg` `flip3-+` `*-commutative` `cbrt-unprod` `flip-+` `difference-of-squares`

Counts

4 → 521

Calls

4 calls:

1.0s	(* (pow (/ z (exp t)) y) (pow (exp a) (- (- (- (log 1.0) (* z 1.0)) (/ 1/2 (/ 1.0 (/ (pow z 2) 1.0)))) b)))
918.0ms	(pow (exp a) (- (- (- (log 1.0) (* z 1.0)) (/ 1/2 (/ 1.0 (/ (pow z 2) 1.0)))) b))
103.0ms	(+ (* y (- (log z) t)) (* a (- (- (- (log 1.0) (* 1.0 z)) (* (/ 1/2 1.0) (/ (pow z 2) 1.0))) b)))
53.0ms	(/ 1/2 (/ 1.0 (/ (pow z 2) 1.0)))

series971.0ms

Counts

4 → 12

Calls

4 calls:

375.0ms	(* (pow (/ z (exp t)) y) (pow (exp a) (- (- (- (log 1.0) (* z 1.0)) (/ 1/2 (/ 1.0 (/ (pow z 2) 1.0)))) b)))
208.0ms	(pow (exp a) (- (- (- (log 1.0) (* z 1.0)) (/ 1/2 (/ 1.0 (/ (pow z 2) 1.0)))) b))
327.0ms	(+ (* y (- (log z) t)) (* a (- (- (- (log 1.0) (* 1.0 z)) (* (/ 1/2 1.0) (/ (pow z 2) 1.0))) b)))
61.0ms	(/ 1/2 (/ 1.0 (/ (pow z 2) 1.0)))

simplify2.1s

Counts

533 → 533

Iterations

Iter	Nodes
done	5000
1	3383
0	1156

prune8.2s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes497.0ms

Accuracy

0% (0.2b remaining)

Error of 0.4b against oracle of 0.2b and baseline of 0.4b

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	31
1	31
0	25

end0.0ms

sample13.9s

Algorithm

intervals

Results

7.1s	40529×	body	80	nan
1.6s	12424×	body	80	valid
309.0ms	391×	body	640	valid
233.0ms	419×	body	320	valid
86.0ms	73×	body	1280	valid
71.0ms	303×	body	160	valid