Details

sample469.0ms

Algorithm

intervals

Results

224.0ms	1488×	body	80	nan
47.0ms	403×	body	80	valid
12.0ms	19×	body	640	valid
5.0ms	4×	body	1280	valid
4.0ms	10×	body	320	valid
3.0ms	13×	body	160	valid

simplify1.6s

Counts

1 → 1

Iterations

Useful iterations: 4 (65.0ms)

Iter	Nodes	Cost
0	17	18
1	30	18
2	58	18
3	127	18
4	311	17
5	1010	17
done	5000	17

prune29.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 3.5b

localize41.0ms

Local error

Found 4 expressions with local error:

0.0b	(* x (exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))))
0.2b	(* y (- (log z) t))
1.0b	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
5.2b	(log (- 1.0 z))

rewrite279.0ms

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:

149.0ms	(* x (exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))))
56.0ms	(* y (- (log z) t))
59.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
10.0ms	(log (- 1.0 z))

series772.0ms

Counts

4 → 12

Calls

4 calls:

294.0ms	(* x (exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))))
134.0ms	(* y (- (log z) t))
285.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
58.0ms	(log (- 1.0 z))

simplify1.4s

Counts

119 → 119

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	275	1996
1	676	1916
2	2142	1751
done	5002	1724

prune705.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 1.0b

localize60.0ms

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

rewrite1.6s

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 123

Calls

4 calls:

1.0s	(* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))
238.0ms	(exp (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))))
31.0ms	(* y (- (log z) t))
251.0ms	(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))

series866.0ms

Counts

4 → 12

Calls

4 calls:

148.0ms	(* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))
269.0ms	(exp (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))))
118.0ms	(* y (- (log z) t))
330.0ms	(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))

simplify1.2s

Counts

135 → 135

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	265	3383
1	646	3262
2	2088	3069
done	5000	2993

prune953.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize55.0ms

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

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

Counts

4 → 129

Calls

4 calls:

956.0ms	(* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))
230.0ms	(pow E (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))))
27.0ms	(* y (- (log z) t))
253.0ms	(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))

series918.0ms

Counts

4 → 12

Calls

4 calls:

152.0ms	(* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))
286.0ms	(pow E (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))))
136.0ms	(* y (- (log z) t))
344.0ms	(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))

simplify1.3s

Counts

141 → 141

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	281	3759
1	694	3571
2	2220	3395
done	5001	3317

prune857.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.2b	(* y (- (log z) t))
0.2b	(* y (- (log z) t))
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)))

rewrite627.0ms

Algorithm

rewrite-expression-head

Rules

56×	`associate--l+`
36×	`log-prod`
34×	`distribute-rgt-in` `distribute-lft-in`
28×	`add-sqr-sqrt` `associate-+r+`
26×	`*-un-lft-identity`
20×	`add-cube-cbrt` `associate-+l+` `associate-*r/`
16×	`sub-neg`
12×	`associate-r`
10×	`pow1` `flip3--` `flip--`
8×	`add-exp-log` `frac-add` `add-cbrt-cube` `add-log-exp`
6×	`associate-l`
4×	`distribute-lft-out--`
2×	`+-commutative` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `log-pow` `*-commutative` `cbrt-unprod` `flip-+` `difference-of-squares` `unswap-sqr`

Counts

4 → 144

Calls

4 calls:

31.0ms	(* y (- (log z) t))
28.0ms	(* y (- (log z) t))
277.0ms	(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))
284.0ms	(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))

series997.0ms

Counts

4 → 12

Calls

4 calls:

97.0ms	(* y (- (log z) t))
116.0ms	(* y (- (log z) t))
383.0ms	(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))
401.0ms	(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))

simplify981.0ms

Counts

156 → 156

Iterations

Useful iterations: done (971.0ms)

Iter	Nodes	Cost
0	195	3860
1	495	3728
2	1656	3556
done	5002	3412

prune1.4s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

regimes391.0ms

Accuracy

48.7% (0.2b remaining)

Error of 0.4b against oracle of 0.3b and baseline of 0.6b

bsearch5.0ms

simplify28.0ms

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	47	103
1	69	103
2	82	103
3	94	103
4	104	103
done	104	103

end0.0ms

sample12.8s

Algorithm

intervals

Results

6.1s	41075×	body	80	nan
2.1s	12533×	body	80	valid
246.0ms	362×	body	640	valid
143.0ms	413×	body	320	valid
66.0ms	65×	body	1280	valid
57.0ms	268×	body	160	valid