Details

sample470.0ms

Algorithm

intervals

Results

220.0ms	1324×	body	80	nan
69.0ms	508×	body	80	valid

simplify2.5s

Counts

1 → 1

Iterations

Useful iterations: 3 (24.0ms)

Iter	Nodes	Cost
0	17	18
1	32	18
2	65	18
3	179	16
4	487	16
5	1671	16
done	5001	16

prune22.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize23.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- t 1.0) (log a))
0.2b	(* y (log z))
0.7b	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
0.9b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

rewrite398.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
19×	`*-un-lft-identity`
15×	`add-cube-cbrt`
13×	`add-cbrt-cube`
12×	`add-exp-log` `log-prod`
10×	`pow1` `add-log-exp`
8×	`associate-r` `associate-l`
6×	`distribute-rgt-in` `distribute-lft-in`
5×	`exp-prod`
3×	`times-frac` `exp-sum` `prod-exp` `associate-/r*` `cbrt-unprod` `rem-exp-log`
2×	`cbrt-undiv` `exp-diff` `diff-log` `div-exp` `pow-prod-down` `associate-l/` `log-pow` `-commutative` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
1×	`sub-neg` `flip3--` `frac-2neg` `associate-r/` `associate--l+` `clear-num` `sum-log` `flip--` `div-inv` `associate-/l/` `associate-/l`

Counts

4 → 95

Calls

4 calls:

49.0ms	(* (- t 1.0) (log a))
13.0ms	(* y (log z))
221.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
108.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

series602.0ms

Counts

4 → 12

Calls

4 calls:

88.0ms	(* (- t 1.0) (log a))
51.0ms	(* y (log z))
238.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
225.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

simplify1.3s

Counts

107 → 107

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	231	1531
1	493	1495
2	1465	1209
done	5000	1155

prune580.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.2b	(pow a (- t 1.0))
0.2b	(* (* (pow a (- t 1.0)) (pow z y)) (exp (- b)))
0.7b	(/ (* x (* (* (pow a (- t 1.0)) (pow z y)) (exp (- b)))) y)
0.8b	(* (pow a (- t 1.0)) (pow z y))

rewrite218.0ms

Algorithm

rewrite-expression-head

Rules

68×	`add-exp-log`
58×	`prod-exp`
27×	`add-sqr-sqrt`
25×	`add-cbrt-cube`
19×	`pow-to-exp` `pow-exp`
15×	`unpow-prod-down` `*-un-lft-identity`
13×	`add-cube-cbrt`
12×	`div-exp`
10×	`associate-r/` `associate-r` `associate-l*` `cbrt-unprod`
9×	`associate-*l/` `unswap-sqr` `sqr-pow`
8×	`pow-sub`
7×	`pow1`
6×	`exp-neg` `associate-/l/`
5×	`pow-unpow`
4×	`cbrt-undiv` `unpow-prod-up` `neg-sub0` `frac-times` `exp-diff` `add-log-exp`
3×	`times-frac` `associate-/r*`
2×	`sub-neg` `un-div-inv` `*-commutative`
1×	`pow-pow` `frac-2neg` `pow-prod-down` `clear-num` `div-inv` `associate-/l*` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 136

Calls

4 calls:

6.0ms	(pow a (- t 1.0))
47.0ms	(* (* (pow a (- t 1.0)) (pow z y)) (exp (- b)))
124.0ms	(/ (* x (* (* (pow a (- t 1.0)) (pow z y)) (exp (- b)))) y)
35.0ms	(* (pow a (- t 1.0)) (pow z y))

series886.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(pow a (- t 1.0))
265.0ms	(* (* (pow a (- t 1.0)) (pow z y)) (exp (- b)))
386.0ms	(/ (* x (* (* (pow a (- t 1.0)) (pow z y)) (exp (- b)))) y)
155.0ms	(* (pow a (- t 1.0)) (pow z y))

simplify1.6s

Counts

148 → 148

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	251	2437
1	645	2244
2	2454	1929
done	5000	1921

prune621.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b	(pow a (- t 1.0))
0.3b	(/ (* (pow a (- t 1.0)) (pow z y)) (exp b))
0.8b	(* (pow a (- t 1.0)) (pow z y))
1.2b	(/ x (/ y (/ (* (pow a (- t 1.0)) (pow z y)) (exp b))))

rewrite93.0ms

Algorithm

rewrite-expression-head

Rules

201×	`times-frac`
109×	`add-sqr-sqrt`
97×	`*-un-lft-identity`
95×	`add-cube-cbrt`
68×	`add-exp-log`
43×	`div-exp`
29×	`associate-/r*`
27×	`prod-exp`
25×	`add-cbrt-cube`
19×	`pow-to-exp` `pow-exp`
18×	`div-inv`
15×	`unpow-prod-down`
11×	`cbrt-undiv`
9×	`associate-l` `unswap-sqr` `sqr-pow`
7×	`associate-r`
5×	`pow1` `pow-unpow` `associate-/r/`
4×	`unpow-prod-up` `associate-/l*` `add-log-exp`
3×	`cbrt-unprod` `pow-sub`
2×	`sub-neg` `frac-2neg` `associate-*l/` `clear-num`
1×	`pow-pow` `*-commutative` `associate-/l/` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 230

Calls

4 calls:

6.0ms	(pow a (- t 1.0))
23.0ms	(/ (* (pow a (- t 1.0)) (pow z y)) (exp b))
20.0ms	(* (pow a (- t 1.0)) (pow z y))
30.0ms	(/ x (/ y (/ (* (pow a (- t 1.0)) (pow z y)) (exp b))))

series969.0ms

Counts

4 → 12

Calls

4 calls:

81.0ms	(pow a (- t 1.0))
305.0ms	(/ (* (pow a (- t 1.0)) (pow z y)) (exp b))
207.0ms	(* (pow a (- t 1.0)) (pow z y))
376.0ms	(/ x (/ y (/ (* (pow a (- t 1.0)) (pow z y)) (exp b))))

simplify2.8s

Counts

242 → 242

Iterations

Useful iterations: done (2.8s)

Iter	Nodes	Cost
0	460	5216
1	1096	4937
2	4184	4617
done	5001	4584

prune1.2s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

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

rewrite145.0ms

Algorithm

rewrite-expression-head

Rules

116×	`times-frac`
78×	`add-sqr-sqrt`
54×	`add-cube-cbrt` `*-un-lft-identity`
53×	`add-exp-log`
42×	`sqrt-prod`
38×	`associate-/r*`
29×	`prod-exp`
25×	`add-cbrt-cube`
24×	`unpow-prod-down`
18×	`pow-to-exp` `associate-l` `pow-exp` `unswap-sqr`
16×	`div-exp` `sqr-pow`
14×	`associate-r`
10×	`div-inv`
8×	`cbrt-undiv`
5×	`cbrt-unprod`
4×	`pow1` `unpow-prod-up` `add-log-exp`
3×	`sqrt-div` `associate-*l/` `associate-/r/` `pow-sub`
2×	`sub-neg` `frac-2neg` `clear-num` `-commutative` `associate-/l/` `associate-/l`
1×	`associate-*r/`

Counts

4 → 209

Calls

4 calls:

20.0ms	(/ (* (pow a (- t 1.0)) (pow z y)) (exp b))
27.0ms	(* (pow a (- t 1.0)) (pow z y))
24.0ms	(* (pow a (- t 1.0)) (pow z y))
65.0ms	(/ (* x (sqrt (/ (* (pow a (- t 1.0)) (pow z y)) (exp b)))) (/ y (sqrt (/ (* (pow a (- t 1.0)) (pow z y)) (exp b)))))

series1.1s

Counts

4 → 12

Calls

4 calls:

304.0ms	(/ (* (pow a (- t 1.0)) (pow z y)) (exp b))
219.0ms	(* (pow a (- t 1.0)) (pow z y))
200.0ms	(* (pow a (- t 1.0)) (pow z y))
393.0ms	(/ (* x (sqrt (/ (* (pow a (- t 1.0)) (pow z y)) (exp b)))) (/ y (sqrt (/ (* (pow a (- t 1.0)) (pow z y)) (exp b)))))

simplify1.9s

Counts

221 → 221

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	371	5722
1	870	5075
2	3084	4556
done	5000	4534

prune1.3s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes686.0ms

Accuracy

0% (1.8b remaining)

Error of 1.9b against oracle of 0.0b and baseline of 1.9b

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	18
1	21	18
done	21	18

end0.0ms

sample14.8s

Algorithm

intervals

Results

7.1s	46319×	body	80	nan
2.7s	15218×	body	80	valid