Details

sample182.0ms

Algorithm

intervals

Results

59.0ms	1164×	body	80	nan
24.0ms	378×	body	80	valid
5.0ms	16×	body	640	valid
3.0ms	16×	body	320	valid
1.0ms	8×	body	160	valid
1.0ms	1×	body	1280	valid

simplify37.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	30	10
1	58	10
2	129	10
3	318	10
4	1073	10
5	5001	10
done	5001	10

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.1b

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b	(* y (- (log z) t))
0.3b	(* x (exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))))
1.0b	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
4.8b	(log (- 1.0 z))

rewrite173.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 107

Calls

4 calls:

25.0ms	(* y (- (log z) t))
110.0ms	(* x (exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))))
29.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
5.0ms	(log (- 1.0 z))

series478.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(* y (- (log z) t))
170.0ms	(* x (exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))))
191.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
45.0ms	(log (- 1.0 z))

simplify70.0ms

Counts

119 → 119

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	675	1085
1	2724	1003
2	5001	985
done	5001	985

prune417.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.7b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite1.3s

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 129

Calls

4 calls:

616.0ms	(* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))
26.0ms	(* y (- (log z) t))
492.0ms	(* x (exp (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))))
158.0ms	(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))

series672.0ms

Counts

4 → 12

Calls

4 calls:

107.0ms	(* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))
73.0ms	(* y (- (log z) t))
237.0ms	(* x (exp (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))))
254.0ms	(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))

simplify86.0ms

Counts

141 → 141

Iterations

Useful iterations: 2 (70.0ms)

Iter	Nodes	Cost
0	677	1907
1	3019	1768
2	5001	1757
done	5001	1757

prune600.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

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

rewrite640.0ms

Algorithm

rewrite-expression-head

Rules

66×	`associate--l+`
42×	`associate-+r+`
36×	`distribute-rgt-in` `log-prod` `distribute-lft-in`
30×	`associate-+l+`
24×	`associate-*r/`
18×	`sub-neg`
17×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
12×	`flip3--` `frac-add` `flip--`
10×	`add-log-exp`
4×	`pow1` `add-exp-log` `cbrt-prod` `add-cbrt-cube`
3×	`+-commutative` `flip3-+` `sum-log` `flip-+`
1×	`pow1/3` `exp-sum`

Counts

4 → 129

Calls

4 calls:

162.0ms	(cbrt (exp (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))))
156.0ms	(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))
155.0ms	(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))
159.0ms	(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))

series1.0s

Counts

4 → 12

Calls

4 calls:

279.0ms	(cbrt (exp (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))))
250.0ms	(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))
244.0ms	(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))
256.0ms	(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))

simplify66.0ms

Counts

141 → 141

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	481	2833
1	1718	2697
2	5002	2680
done	5002	2680

prune989.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (+ (* (log z) y) (* a (log 1.0))) (* t y))
0.0b	(* x (exp (- (+ (* (log z) y) (* a (log 1.0))) (* t y))))
0.3b	(* (log z) y)

rewrite257.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 55

Calls

3 calls:

39.0ms	(- (+ (* (log z) y) (* a (log 1.0))) (* t y))
208.0ms	(* x (exp (- (+ (* (log z) y) (* a (log 1.0))) (* t y))))
8.0ms	(* (log z) y)

series347.0ms

Counts

3 → 9

Calls

3 calls:

119.0ms	(- (+ (* (log z) y) (* a (log 1.0))) (* t y))
161.0ms	(* x (exp (- (+ (* (log z) y) (* a (log 1.0))) (* t y))))
67.0ms	(* (log z) y)

simplify159.0ms

Counts

64 → 64

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	283	530
1	1097	444
2	4814	412
3	5001	412
done	5001	412

prune183.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes222.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	51
1	36	51
done	36	51

end0.0ms

sample5.9s

Algorithm

intervals

Results

2.1s	40570×	body	80	nan
731.0ms	12463×	body	80	valid
128.0ms	381×	body	640	valid
78.0ms	385×	body	320	valid
49.0ms	71×	body	1280	valid
35.0ms	281×	body	160	valid