Details

sample185.0ms

Algorithm

intervals

Results

76.0ms	1490×	body	80	nan
31.0ms	505×	body	80	valid

simplify737.0ms

Counts

1 → 1

Iterations

Useful iterations: 3 (16.0ms)

Iter	Nodes	Cost
0	17	18
1	32	18
2	64	18
3	157	16
4	469	16
5	1887	16
done	5000	16

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.4b

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b	(* y (log z))
0.3b	(* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)))
0.8b	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
0.9b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

rewrite214.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
15×	`*-un-lft-identity`
13×	`add-cube-cbrt` `add-cbrt-cube`
11×	`add-exp-log`
10×	`associate-r` `add-log-exp`
9×	`pow1`
6×	`log-prod` `associate-l` `exp-sum`
5×	`exp-prod`
3×	`distribute-rgt-in` `distribute-lft-in` `times-frac` `exp-diff` `prod-exp` `associate-/r*` `cbrt-unprod` `rem-exp-log`
2×	`cbrt-undiv` `sub-neg` `diff-log` `associate-r/` `div-exp` `pow-prod-down` `associate--l+` `-commutative` `unswap-sqr`
1×	`frac-2neg` `clear-num` `sum-log` `log-pow` `div-inv` `associate-/l/` `associate-/l*` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 88

Calls

4 calls:

4.0ms	(* y (log z))
98.0ms	(* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)))
78.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
32.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

series475.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(* y (log z))
151.0ms	(* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)))
172.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
115.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

simplify783.0ms

Counts

100 → 100

Iterations

Useful iterations: done (780.0ms)

Iter	Nodes	Cost
0	186	1711
1	404	1676
2	1479	1308
done	5000	1302

prune379.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.3b

localize24.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (log z) y)
0.3b	(* x (/ (pow (/ 1 a) 1.0) (exp (- (- b (* (log z) y)) (* (log a) t)))))
0.3b	(* (log a) t)
0.8b	(/ (* x (/ (pow (/ 1 a) 1.0) (exp (- (- b (* (log z) y)) (* (log a) t))))) y)

rewrite203.0ms

Algorithm

rewrite-expression-head

Rules

192×	`times-frac`
130×	`associate-r`
106×	`add-sqr-sqrt`
94×	`unpow-prod-down`
86×	`*-un-lft-identity`
85×	`add-cube-cbrt`
68×	`exp-sum`
45×	`add-exp-log`
34×	`sub-neg` `associate--l+`
24×	`div-exp`
22×	`add-cbrt-cube`
16×	`prod-exp`
12×	`pow1`
11×	`associate-l`
9×	`div-inv`
8×	`pow-exp` `unswap-sqr` `sqr-pow`
6×	`cbrt-unprod`
5×	`cbrt-undiv`
4×	`add-log-exp`
3×	`pow-prod-down` `associate-/r` `-commutative`
2×	`pow-to-exp` `rec-exp` `1-exp` `associate-*r/` `log-pow`
1×	`frac-2neg` `exp-diff` `clear-num` `associate-/r/` `associate-/l/` `associate-/l*`

Counts

4 → 219

Calls

4 calls:

3.0ms	(* (log z) y)
119.0ms	(* x (/ (pow (/ 1 a) 1.0) (exp (- (- b (* (log z) y)) (* (log a) t)))))
4.0ms	(* (log a) t)
64.0ms	(/ (* x (/ (pow (/ 1 a) 1.0) (exp (- (- b (* (log z) y)) (* (log a) t))))) y)

series1.0s

Counts

4 → 12

Calls

4 calls:

61.0ms	(* (log z) y)
529.0ms	(* x (/ (pow (/ 1 a) 1.0) (exp (- (- b (* (log z) y)) (* (log a) t)))))
65.0ms	(* (log a) t)
350.0ms	(/ (* x (/ (pow (/ 1 a) 1.0) (exp (- (- b (* (log z) y)) (* (log a) t))))) y)

simplify1.2s

Counts

231 → 231

Iterations

Useful iterations: 2 (568.0ms)

Iter	Nodes	Cost
0	427	4517
1	1040	3855
2	3355	3519
done	5000	3519

prune868.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.2b

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (- (log z)) y)
0.3b	(* x (/ (pow (/ 1 a) 1.0) (exp (- (- b (- (* (- (log z)) y))) (* (log a) t)))))
0.3b	(* (log a) t)
0.8b	(/ (* x (/ (pow (/ 1 a) 1.0) (exp (- (- b (- (* (- (log z)) y))) (* (log a) t))))) y)

rewrite341.0ms

Algorithm

rewrite-expression-head

Rules

218×	`times-frac`
147×	`associate-r`
116×	`add-sqr-sqrt`
107×	`unpow-prod-down`
96×	`*-un-lft-identity`
95×	`add-cube-cbrt`
85×	`exp-sum`
51×	`associate--l+`
45×	`add-exp-log`
34×	`sub-neg`
24×	`div-exp`
22×	`add-cbrt-cube`
19×	`associate-l`
17×	`neg-sub0` `associate--r-`
16×	`prod-exp`
13×	`pow1`
10×	`div-inv`
9×	`sqr-pow`
8×	`pow-exp` `unswap-sqr`
6×	`cbrt-unprod`
5×	`cbrt-undiv`
4×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `add-log-exp`
3×	`pow-prod-down` `associate-/r` `log-pow` `-commutative`
2×	`pow-to-exp` `rec-exp` `1-exp` `associate-*r/`
1×	`distribute-lft-neg-out` `neg-mul-1` `frac-2neg` `exp-diff` `clear-num` `associate-/r/` `associate-/l/` `associate-/l*`

Counts

4 → 245

Calls

4 calls:

6.0ms	(* (- (log z)) y)
197.0ms	(* x (/ (pow (/ 1 a) 1.0) (exp (- (- b (- (* (- (log z)) y))) (* (log a) t)))))
3.0ms	(* (log a) t)
119.0ms	(/ (* x (/ (pow (/ 1 a) 1.0) (exp (- (- b (- (* (- (log z)) y))) (* (log a) t))))) y)

series808.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(* (- (log z)) y)
341.0ms	(* x (/ (pow (/ 1 a) 1.0) (exp (- (- b (- (* (- (log z)) y))) (* (log a) t)))))
60.0ms	(* (log a) t)
344.0ms	(/ (* x (/ (pow (/ 1 a) 1.0) (exp (- (- b (- (* (- (log z)) y))) (* (log a) t))))) y)

simplify1.4s

Counts

257 → 257

Iterations

Useful iterations: 2 (669.0ms)

Iter	Nodes	Cost
0	473	5160
1	1149	4571
2	3656	3896
done	5000	3896

prune988.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (log z) y)
0.3b	(* (log a) t)
0.8b	(/ (/ (/ x (pow a 1.0)) (exp (- (- b (* (log z) y)) (* (log a) t)))) y)
7.4b	(/ (/ x (pow a 1.0)) (exp (- (- b (* (log z) y)) (* (log a) t))))

rewrite222.0ms

Algorithm

rewrite-expression-head

Rules

2171×	`times-frac`
827×	`add-sqr-sqrt`
823×	`add-cube-cbrt` `*-un-lft-identity`
504×	`exp-sum`
324×	`unpow-prod-down`
252×	`sub-neg` `associate--l+`
205×	`associate-/l*`
108×	`sqr-pow`
42×	`div-inv`
26×	`add-exp-log`
22×	`add-cbrt-cube`
19×	`div-exp`
10×	`pow1` `associate-/r*`
9×	`cbrt-undiv`
8×	`associate-l`
6×	`associate-r`
5×	`exp-diff` `associate-/r/`
4×	`add-log-exp`
2×	`pow-to-exp` `frac-2neg` `pow-prod-down` `pow-exp` `prod-exp` `clear-num` `log-pow` `*-commutative` `cbrt-unprod` `associate-/l/` `unswap-sqr`

Counts

4 → 1005

Calls

4 calls:

6.0ms	(* (log z) y)
3.0ms	(* (log a) t)
83.0ms	(/ (/ (/ x (pow a 1.0)) (exp (- (- b (* (log z) y)) (* (log a) t)))) y)
37.0ms	(/ (/ x (pow a 1.0)) (exp (- (- b (* (log z) y)) (* (log a) t))))

series839.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(* (log z) y)
64.0ms	(* (log a) t)
351.0ms	(/ (/ (/ x (pow a 1.0)) (exp (- (- b (* (log z) y)) (* (log a) t)))) y)
358.0ms	(/ (/ x (pow a 1.0)) (exp (- (- b (* (log z) y)) (* (log a) t))))

simplify1.2s

Counts

1017 → 1017

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	1311	34023
1	3069	30632
done	5001	30630

prune3.8s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes389.0ms

Accuracy

0% (1.3b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 1.3b

bsearch0.0ms

simplify7.0ms

Iterations

Useful iterations: 2 (2.0ms)

Iter	Nodes	Cost
0	22	24
1	33	24
2	38	22
3	43	22
4	48	22
done	48	22

end0.0ms

sample5.5s

Algorithm

intervals

Results

2.3s	45653×	body	80	nan
945.0ms	15039×	body	80	valid