Details

sample433.0ms

Algorithm

intervals

Results

189.0ms	1225×	body	80	nan
48.0ms	375×	body	80	valid
9.0ms	14×	body	640	valid
5.0ms	3×	body	1280	valid
4.0ms	13×	body	160	valid
3.0ms	8×	body	320	valid

simplify1.2s

Counts

1 → 1

Iterations

Useful iterations: 4 (98.0ms)

Iter	Nodes	Cost
0	17	18
1	30	18
2	58	18
3	127	18
4	350	17
5	1256	17
done	5001	17

prune29.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 2.0b

localize48.0ms

Local error

Found 4 expressions with local error:

0.0b	(* a (- (log (- 1.0 z)) b))
0.1b	(* y (- (log z) t))
0.5b	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
4.5b	(log (- 1.0 z))

rewrite199.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 125

Calls

4 calls:

60.0ms	(* a (- (log (- 1.0 z)) b))
50.0ms	(* y (- (log z) t))
71.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
9.0ms	(log (- 1.0 z))

series620.0ms

Counts

4 → 12

Calls

4 calls:

113.0ms	(* a (- (log (- 1.0 z)) b))
113.0ms	(* y (- (log z) t))
325.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
69.0ms	(log (- 1.0 z))

simplify1.5s

Counts

137 → 137

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	285	1993
1	732	1887
2	2524	1769
done	5002	1756

prune1.2s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize71.0ms

Local error

Found 4 expressions with local error:

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

rewrite1.5s

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 128

Calls

4 calls:

14.0ms	(- (log z) t)
1.1s	(* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))
48.0ms	(* y (- (log z) t))
281.0ms	(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))

series790.0ms

Counts

4 → 12

Calls

4 calls:

102.0ms	(- (log z) t)
171.0ms	(* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))
119.0ms	(* y (- (log z) t))
397.0ms	(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))

simplify1.6s

Counts

140 → 140

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	250	3040
1	652	2920
2	2378	2768
done	5000	2756

prune1.6s

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

rewrite251.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 73

Calls

4 calls:

15.0ms	(- (log z) t)
126.0ms	(* x (exp (+ (* a (log 1.0)) (* (- (log z) t) y))))
40.0ms	(exp (+ (* a (log 1.0)) (* (- (log z) t) y)))
65.0ms	(* (- (log z) t) y)

series738.0ms

Counts

4 → 12

Calls

4 calls:

121.0ms	(- (log z) t)
286.0ms	(* x (exp (+ (* a (log 1.0)) (* (- (log z) t) y))))
170.0ms	(exp (+ (* a (log 1.0)) (* (- (log z) t) y)))
161.0ms	(* (- (log z) t) y)

simplify957.0ms

Counts

85 → 85

Iterations

Useful iterations: done (953.0ms)

Iter	Nodes	Cost
0	139	1017
1	305	991
2	1078	807
done	5002	789

prune766.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 1.0 (* a z)) (* 0.5 (* a (pow z 2))))
0.0b	(+ (* a b) (+ (* 1.0 (* a z)) (* 0.5 (* a (pow z 2)))))
0.0b	(* x (exp (- (+ (* a b) (+ (* 1.0 (* a z)) (* 0.5 (* a (pow z 2))))))))
8.6b	(* a (pow z 2))

rewrite1.5s

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
12×	`associate-r`
11×	`add-log-exp`
10×	`add-exp-log`
9×	`add-cube-cbrt` `*-un-lft-identity`
8×	`add-cbrt-cube`
6×	`pow1` `associate-l`
5×	`unswap-sqr`
4×	`unpow-prod-down` `prod-exp` `sum-log`
2×	`+-commutative` `exp-neg` `flip3-+` `associate-r/` `-commutative` `cbrt-unprod` `flip-+` `unpow2` `sqr-pow`
1×	`neg-sub0` `pow-to-exp` `associate-+r+` `distribute-neg-in` `exp-diff` `exp-sum` `pow-prod-down` `pow-exp` `un-div-inv`

Counts

4 → 73

Calls

4 calls:

33.0ms	(+ (* 1.0 (* a z)) (* 0.5 (* a (pow z 2))))
64.0ms	(+ (* a b) (+ (* 1.0 (* a z)) (* 0.5 (* a (pow z 2)))))
1.4s	(* x (exp (- (+ (* a b) (+ (* 1.0 (* a z)) (* 0.5 (* a (pow z 2))))))))
30.0ms	(* a (pow z 2))

series513.0ms

Counts

4 → 12

Calls

4 calls:

158.0ms	(+ (* 1.0 (* a z)) (* 0.5 (* a (pow z 2))))
122.0ms	(+ (* a b) (+ (* 1.0 (* a z)) (* 0.5 (* a (pow z 2)))))
171.0ms	(* x (exp (- (+ (* a b) (+ (* 1.0 (* a z)) (* 0.5 (* a (pow z 2))))))))
61.0ms	(* a (pow z 2))

simplify1.5s

Counts

85 → 85

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	135	1484
1	375	1395
2	1652	1246
done	5000	1117

prune815.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes945.0ms

Accuracy

53.9% (7.2b remaining)

Error of 7.3b against oracle of 0.1b and baseline of 15.7b

bsearch1.1s

Steps

Iters	Range		Point
9	1.5468688283612183e-21	7.727454479748155e-13	2.800497674111036e-17
9	-2.089195497300804e+53	-4.5344052552847126e+45	-3.4142109438212337e+52

simplify43.0ms

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	34	57
1	52	44
2	63	44
3	75	44
4	85	44
done	85	44

end0.0ms

sample16.9s

Algorithm

intervals

Results

7.2s	40880×	body	80	nan
3.1s	12524×	body	80	valid
571.0ms	62×	body	1280	valid
269.0ms	378×	body	640	valid
157.0ms	357×	body	320	valid
78.0ms	265×	body	160	valid