Details

sample372.0ms

Algorithm

intervals

Results

168.0ms	1413×	body	80	nan
45.0ms	414×	body	80	valid
9.0ms	16×	body	640	valid
4.0ms	10×	body	320	valid
2.0ms	2×	body	1280	valid
1.0ms	5×	body	160	valid

simplify748.0ms

Counts

1 → 1

Iterations

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

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.0b

localize63.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (log z) t)
0.0b	(* x (exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))))
0.2b	(* y (- (log z) t))
5.5b	(log (- 1.0 z))

rewrite201.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 86

Calls

4 calls:

12.0ms	(- (log z) t)
138.0ms	(* x (exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))))
37.0ms	(* y (- (log z) t))
8.0ms	(log (- 1.0 z))

series475.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(- (log z) t)
234.0ms	(* x (exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))))
116.0ms	(* y (- (log z) t))
59.0ms	(log (- 1.0 z))

simplify582.0ms

Counts

98 → 98

Iterations

Iter	Nodes
done	5000
2	1483
1	459
0	201

prune717.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.0b	(* a (- (- (log 1.0) (+ (* z 1.0) (* (/ (pow z 2) (pow 1.0 2)) 1/2))) b))
0.0b	(- (log z) t)
0.0b	(* x (exp (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* z 1.0) (* (/ (pow z 2) (pow 1.0 2)) 1/2))) b)))))
0.2b	(* y (- (log z) t))

rewrite469.0ms

Algorithm

rewrite-expression-head

Rules

28×	`*-un-lft-identity`
27×	`add-sqr-sqrt`
25×	`associate--l+`
17×	`associate-r`
15×	`log-prod` `add-cube-cbrt`
13×	`pow1`
12×	`distribute-rgt-in` `distribute-lft-in`
10×	`add-cbrt-cube`
9×	`associate-l` `add-exp-log` `distribute-lft-out--`
7×	`sub-neg`
5×	`add-log-exp`
4×	`associate-*r/`
3×	`flip3--` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `flip--` `difference-of-squares` `unswap-sqr`
1×	`diff-log` `exp-sum`

Counts

4 → 108

Calls

4 calls:

232.0ms	(* a (- (- (log 1.0) (+ (* z 1.0) (* (/ (pow z 2) (pow 1.0 2)) 1/2))) b))
9.0ms	(- (log z) t)
198.0ms	(* x (exp (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* z 1.0) (* (/ (pow z 2) (pow 1.0 2)) 1/2))) b)))))
26.0ms	(* y (- (log z) t))

series601.0ms

Counts

4 → 12

Calls

4 calls:

144.0ms	(* a (- (- (log 1.0) (+ (* z 1.0) (* (/ (pow z 2) (pow 1.0 2)) 1/2))) b))
88.0ms	(- (log z) t)
257.0ms	(* x (exp (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* z 1.0) (* (/ (pow z 2) (pow 1.0 2)) 1/2))) b)))))
111.0ms	(* y (- (log z) t))

simplify675.0ms

Counts

120 → 120

Iterations

Iter	Nodes
done	5000
2	1747
1	533
0	229

prune966.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize422.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (* x (sqrt (exp (+ (* (- (- (log 1.0) (* z 1.0)) (+ (* (/ (* z z) 1.0) (/ 1/2 1.0)) b)) a) (* y (- (log z) t)))))) (sqrt (exp (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* z 1.0) (* (/ (pow z 2) (pow 1.0 2)) 1/2))) b))))))
0.0b	(* x (sqrt (exp (+ (* (- (- (log 1.0) (* z 1.0)) (+ (* (/ (* z z) 1.0) (/ 1/2 1.0)) b)) a) (* y (- (log z) t))))))
0.2b	(* y (- (log z) t))
0.2b	(* y (- (log z) t))

rewrite3.9s

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt`
26×	`associate-r`
23×	`*-un-lft-identity`
17×	`pow1` `add-cube-cbrt`
15×	`add-cbrt-cube` `add-exp-log`
12×	`log-prod` `associate--l+`
10×	`distribute-rgt-in` `distribute-lft-in` `associate-l`
9×	`sqrt-prod`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`sub-neg` `associate-r/` `-commutative` `distribute-lft-out--` `add-log-exp` `unswap-sqr`
2×	`flip3--` `exp-sum` `log-pow` `flip--` `difference-of-squares`

Counts

4 → 111

Calls

4 calls:

2.9s	(* (* x (sqrt (exp (+ (* (- (- (log 1.0) (* z 1.0)) (+ (* (/ (* z z) 1.0) (/ 1/2 1.0)) b)) a) (* y (- (log z) t)))))) (sqrt (exp (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* z 1.0) (* (/ (pow z 2) (pow 1.0 2)) 1/2))) b))))))
950.0ms	(* x (sqrt (exp (+ (* (- (- (log 1.0) (* z 1.0)) (+ (* (/ (* z z) 1.0) (/ 1/2 1.0)) b)) a) (* y (- (log z) t))))))
29.0ms	(* y (- (log z) t))
20.0ms	(* y (- (log z) t))

series1.5s

Counts

4 → 12

Calls

4 calls:

934.0ms	(* (* x (sqrt (exp (+ (* (- (- (log 1.0) (* z 1.0)) (+ (* (/ (* z z) 1.0) (/ 1/2 1.0)) b)) a) (* y (- (log z) t)))))) (sqrt (exp (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* z 1.0) (* (/ (pow z 2) (pow 1.0 2)) 1/2))) b))))))
417.0ms	(* x (sqrt (exp (+ (* (- (- (log 1.0) (* z 1.0)) (+ (* (/ (* z z) 1.0) (/ 1/2 1.0)) b)) a) (* y (- (log z) t))))))
100.0ms	(* y (- (log z) t))
98.0ms	(* y (- (log z) t))

simplify775.0ms

Counts

123 → 123

Iterations

Iter	Nodes
done	5001
2	1787
1	459
0	197

prune1.6s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize52.0ms

Local error

Found 4 expressions with local error:

0.0b	(* a (+ (* (pow z 2) 0.5) (* z 1.0)))
0.0b	(+ (* t y) (* a b))
0.0b	(* x (* (pow 1.0 a) (pow z y)))
0.3b	(/ (* x (* (pow 1.0 a) (pow z y))) (exp (+ (+ (* t y) (* a b)) (* a (+ (* (pow z 2) 0.5) (* z 1.0))))))

rewrite143.0ms

Algorithm

rewrite-expression-head

Rules

53×	`add-exp-log`
39×	`prod-exp`
20×	`add-cbrt-cube`
12×	`pow-to-exp` `pow-exp`
11×	`add-sqr-sqrt` `div-exp`
9×	`*-un-lft-identity` `add-cube-cbrt`
8×	`pow1`
7×	`cbrt-unprod`
6×	`associate-l` `add-log-exp`
4×	`associate-/r` `times-frac` `associate-r*`
3×	`cbrt-undiv`
2×	`flip3-+` `exp-sum` `pow-prod-down` `associate-r/` `-commutative` `flip-+`
1×	`distribute-rgt-in` `+-commutative` `clear-num` `sum-log` `frac-2neg` `distribute-lft-in` `div-inv` `associate-/l*` `unswap-sqr`

Counts

4 → 91

Calls

4 calls:

20.0ms	(* a (+ (* (pow z 2) 0.5) (* z 1.0)))
6.0ms	(+ (* t y) (* a b))
22.0ms	(* x (* (pow 1.0 a) (pow z y)))
92.0ms	(/ (* x (* (pow 1.0 a) (pow z y))) (exp (+ (+ (* t y) (* a b)) (* a (+ (* (pow z 2) 0.5) (* z 1.0))))))

series730.0ms

Counts

4 → 12

Calls

4 calls:

99.0ms	(* a (+ (* (pow z 2) 0.5) (* z 1.0)))
54.0ms	(+ (* t y) (* a b))
159.0ms	(* x (* (pow 1.0 a) (pow z y)))
417.0ms	(/ (* x (* (pow 1.0 a) (pow z y))) (exp (+ (+ (* t y) (* a b)) (* a (+ (* (pow z 2) 0.5) (* z 1.0))))))

simplify1.0s

Counts

103 → 103

Iterations

Iter	Nodes
done	5001
2	3049
1	613
0	194

prune810.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes719.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify9.0ms

Iterations

Iter	Nodes
done	50
1	50
0	38

end0.0ms

sample11.6s

Algorithm

intervals

Results

6.1s	41334×	body	80	nan
2.1s	12500×	body	80	valid
234.0ms	370×	body	640	valid
194.0ms	396×	body	320	valid
88.0ms	270×	body	160	valid
82.0ms	75×	body	1280	valid