Details

sample191.0ms

Algorithm

intervals

Results

63.0ms	1316×	body	80	nan
27.0ms	485×	body	80	valid

simplify53.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	32	10
1	65	10
2	181	8
3	522	8
4	2203	8
5	5002	8
done	5002	8

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize20.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- t 1.0) (log a))
0.3b	(* y (log z))
1.1b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.2b	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

rewrite271.0ms

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:

22.0ms	(* (- t 1.0) (log a))
8.0ms	(* y (log z))
70.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
167.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

series415.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(* (- t 1.0) (log a))
43.0ms	(* y (log z))
129.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
189.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

simplify51.0ms

Counts

107 → 107

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	493	869
1	2033	715
2	5001	683
done	5001	683

prune358.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.1b	(* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))
0.3b	(* y (log (/ 1 z)))
0.3b	(* (log (/ 1 a)) t)
1.2b	(/ (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) y)

rewrite522.0ms

Algorithm

rewrite-expression-head

Rules

132×	`times-frac`
96×	`add-sqr-sqrt`
81×	`associate-r`
76×	`*-un-lft-identity`
75×	`add-cube-cbrt`
55×	`unpow-prod-down`
45×	`add-exp-log`
26×	`log-prod`
24×	`div-exp`
22×	`add-cbrt-cube`
17×	`exp-sum`
16×	`prod-exp`
14×	`pow1`
13×	`distribute-rgt-in` `distribute-lft-in`
12×	`associate-l`
8×	`pow-exp` `div-inv` `unswap-sqr`
6×	`log-pow` `cbrt-unprod`
5×	`cbrt-undiv` `sqr-pow`
4×	`add-log-exp`
3×	`pow-prod-down` `associate-/r` `-commutative`
2×	`pow-to-exp` `rec-exp` `pow-flip` `1-exp` `associate-*r/` `log-rec` `inv-pow`
1×	`distribute-lft-neg-out` `frac-2neg` `clear-num` `distribute-rgt-neg-out` `associate-/l/` `associate-/l*`

Counts

4 → 199

Calls

4 calls:

287.0ms	(* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))
15.0ms	(* y (log (/ 1 z)))
10.0ms	(* (log (/ 1 a)) t)
200.0ms	(/ (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) y)

series812.0ms

Counts

4 → 12

Calls

4 calls:

357.0ms	(* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))
38.0ms	(* y (log (/ 1 z)))
64.0ms	(* (log (/ 1 a)) t)
353.0ms	(/ (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) y)

simplify47.0ms

Counts

211 → 211

Iterations

Useful iterations: 1 (25.0ms)

Iter	Nodes	Cost
0	1077	2667
1	5002	2322
done	5002	2322

prune791.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))
0.3b	(* y (log (/ 1 z)))
0.3b	(* (log (/ 1 a)) t)
5.0b	(/ (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))) (/ y x))

rewrite349.0ms

Algorithm

rewrite-expression-head

Rules

3085×	`times-frac`
1251×	`add-sqr-sqrt`
1247×	`add-cube-cbrt` `*-un-lft-identity`
728×	`unpow-prod-down`
238×	`exp-sum`
148×	`div-inv`
72×	`associate-/l*`
56×	`sqr-pow`
52×	`log-prod`
43×	`add-exp-log`
37×	`div-exp`
26×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in`
20×	`add-cbrt-cube`
13×	`associate-/r*`
12×	`pow1`
9×	`associate-r` `associate-l` `add-log-exp`
8×	`cbrt-undiv` `pow-exp`
6×	`log-pow`
3×	`sum-log`
2×	`pow-to-exp` `rec-exp` `pow-flip` `1-exp` `log-rec` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `inv-pow` `unswap-sqr`
1×	`+-commutative` `distribute-lft-neg-out` `associate-+r+` `frac-2neg` `flip3-+` `clear-num` `associate-/r/` `distribute-rgt-neg-out` `flip-+` `associate-/l/`

Counts

4 → 1160

Calls

4 calls:

29.0ms	(+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))
14.0ms	(* y (log (/ 1 z)))
10.0ms	(* (log (/ 1 a)) t)
175.0ms	(/ (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))) (/ y x))

series921.0ms

Counts

4 → 12

Calls

4 calls:

86.0ms	(+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))
44.0ms	(* y (log (/ 1 z)))
59.0ms	(* (log (/ 1 a)) t)
733.0ms	(/ (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))) (/ y x))

simplify267.0ms

Counts

1172 → 1172

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	5001	32805
done	5001	32805

prune5.5s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (log (/ 1 z)) y) (+ (* (log (/ 1 a)) t) b))
0.3b	(* (log (/ 1 z)) y)
0.3b	(* (log (/ 1 a)) t)
1.0b	(* (pow (/ 1 (pow a 1.0)) 1.0) (/ x (* (exp (+ (* (log (/ 1 z)) y) (+ (* (log (/ 1 a)) t) b))) y)))

rewrite818.0ms

Algorithm

rewrite-expression-head

Rules

101×	`add-exp-log`
50×	`prod-exp`
47×	`add-sqr-sqrt`
43×	`unpow-prod-down`
42×	`div-exp`
41×	`associate-l`
39×	`pow-exp`
30×	`times-frac`
28×	`*-un-lft-identity`
25×	`add-cube-cbrt`
17×	`add-cbrt-cube`
13×	`associate-r`
12×	`pow1` `pow-to-exp`
11×	`unswap-sqr`
9×	`rec-exp` `1-exp` `add-log-exp`
7×	`sqr-pow`
6×	`log-pow` `cbrt-unprod`
3×	`sum-log` `*-commutative`
2×	`cbrt-undiv` `distribute-lft-neg-out` `pow-flip` `log-rec` `pow-prod-down` `div-inv` `inv-pow`
1×	`+-commutative` `associate-+r+` `flip3-+` `associate-*r/` `flip-+`

Counts

4 → 150

Calls

4 calls:

25.0ms	(+ (* (log (/ 1 z)) y) (+ (* (log (/ 1 a)) t) b))
10.0ms	(* (log (/ 1 z)) y)
10.0ms	(* (log (/ 1 a)) t)
766.0ms	(* (pow (/ 1 (pow a 1.0)) 1.0) (/ x (* (exp (+ (* (log (/ 1 z)) y) (+ (* (log (/ 1 a)) t) b))) y)))

series629.0ms

Counts

4 → 12

Calls

4 calls:

99.0ms	(+ (* (log (/ 1 z)) y) (+ (* (log (/ 1 a)) t) b))
62.0ms	(* (log (/ 1 z)) y)
59.0ms	(* (log (/ 1 a)) t)
409.0ms	(* (pow (/ 1 (pow a 1.0)) 1.0) (/ x (* (exp (+ (* (log (/ 1 z)) y) (+ (* (log (/ 1 a)) t) b))) y)))

simplify92.0ms

Counts

162 → 162

Iterations

Useful iterations: 2 (74.0ms)

Iter	Nodes	Cost
0	796	2147
1	3197	1929
2	5003	1833
done	5003	1833

prune580.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes230.0ms

Accuracy

62.9% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 1.4b

bsearch125.0ms

Steps

Iters	Range		Point
9	2.452778789580981e-183	2.937420359618918e-178	2.0310778362127112e-178

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	29
1	44	29
2	44	29
done	44	29

end0.0ms

sample6.0s

Algorithm

intervals

Results

2.1s	45874×	body	80	nan
868.0ms	15242×	body	80	valid