Details

sample280.0ms

Algorithm

intervals

Results

100.0ms	1416×	body	80	nan
63.0ms	487×	body	80	valid

simplify1.6s

Counts

1 → 1

Iterations

Useful iterations: 3 (54.0ms)

Iter	Nodes	Cost
0	17	18
1	32	18
2	65	18
3	180	16
4	559	16
5	3064	16
done	5001	16

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize31.0ms

Local error

Found 4 expressions with local error:

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

rewrite414.0ms

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:

25.0ms	(* (- t 1.0) (log a))
9.0ms	(* y (log z))
253.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
121.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

series521.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(* (- t 1.0) (log a))
41.0ms	(* y (log z))
235.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
182.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

simplify843.0ms

Counts

107 → 107

Iterations

Useful iterations: done (839.0ms)

Iter	Nodes	Cost
0	231	1531
1	530	1495
2	2148	1219
done	5001	1198

prune479.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 4 expressions with local error:

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

rewrite691.0ms

Algorithm

rewrite-expression-head

Rules

45×	`add-sqr-sqrt`
40×	`associate-r`
34×	`times-frac`
31×	`add-cube-cbrt` `*-un-lft-identity`
28×	`add-exp-log`
27×	`associate-l`
22×	`add-cbrt-cube`
14×	`pow1`
13×	`unpow-prod-down`
11×	`div-exp`
10×	`prod-exp`
8×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
7×	`exp-sum`
6×	`cbrt-unprod` `unswap-sqr`
5×	`cbrt-undiv` `sqr-pow`
4×	`distribute-lft-neg-out` `log-pow` `add-log-exp`
3×	`pow-prod-down` `associate-/r` `-commutative`
2×	`pow-to-exp` `associate-+l-` `neg-mul-1` `exp-diff` `associate-*r/` `pow-exp` `associate-/r/` `div-inv`
1×	`frac-2neg` `unsub-neg` `clear-num` `associate-/l/` `associate-/l*`

Counts

4 → 139

Calls

4 calls:

368.0ms	(* x (/ (pow a (- 1.0)) (exp (+ (+ (* (- (log z)) y) (* (- (log a)) t)) b))))
13.0ms	(* (- (log a)) t)
13.0ms	(* (- (log z)) y)
287.0ms	(/ (* x (/ (pow a (- 1.0)) (exp (+ (+ (* (- (log z)) y) (* (- (log a)) t)) b)))) y)

series1.0s

Counts

4 → 12

Calls

4 calls:

405.0ms	(* x (/ (pow a (- 1.0)) (exp (+ (+ (* (- (log z)) y) (* (- (log a)) t)) b))))
65.0ms	(* (- (log a)) t)
94.0ms	(* (- (log z)) y)
483.0ms	(/ (* x (/ (pow a (- 1.0)) (exp (+ (+ (* (- (log z)) y) (* (- (log a)) t)) b)))) y)

simplify2.0s

Counts

151 → 151

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	300	2929
1	811	2845
2	4133	2322
done	5000	2294

prune887.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize49.0ms

Local error

Found 4 expressions with local error:

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

rewrite1.1s

Algorithm

rewrite-expression-head

Rules

28×	`associate-l`
22×	`add-sqr-sqrt`
19×	`add-exp-log` `add-cbrt-cube`
16×	`add-cube-cbrt` `*-un-lft-identity`
15×	`pow1`
9×	`associate-r`
8×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
6×	`prod-exp` `cbrt-unprod`
5×	`log-pow`
4×	`sqrt-div` `add-log-exp`
3×	`cbrt-undiv` `times-frac` `div-exp` `pow-prod-down` `associate-l/` `associate-/r` `*-commutative` `associate-/l/` `unswap-sqr`
2×	`distribute-lft-neg-out` `neg-mul-1`
1×	`frac-times` `frac-2neg` `associate-r/` `clear-num` `div-inv` `associate-/l`

Counts

4 → 101

Calls

4 calls:

15.0ms	(* (- (log a)) t)
20.0ms	(* (- (log z)) y)
12.0ms	(* (log z) y)
1.0s	(/ (* (* (sqrt (/ (pow a (- 1.0)) (exp (- (- b (* (log a) t)) (* (log z) y))))) x) (sqrt (/ (pow a (- 1.0)) (exp (+ (+ (* (- (log z)) y) (* (- (log a)) t)) b))))) y)

series915.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(* (- (log a)) t)
65.0ms	(* (- (log z)) y)
79.0ms	(* (log z) y)
691.0ms	(/ (* (* (sqrt (/ (pow a (- 1.0)) (exp (- (- b (* (log a) t)) (* (log z) y))))) x) (sqrt (/ (pow a (- 1.0)) (exp (+ (+ (* (- (log z)) y) (* (- (log a)) t)) b))))) y)

simplify1.6s

Counts

113 → 113

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	226	2094
1	593	1889
2	3158	1559
done	5000	1135

prune806.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* y (exp (- (- b (* (log a) t)) (* (log z) y)))) (pow a (- 1.0)))
0.3b	(* (log a) t)
0.3b	(* (log z) y)
1.8b	(/ x (/ (* y (exp (- (- b (* (log a) t)) (* (log z) y)))) (pow a (- 1.0))))

rewrite366.0ms

Algorithm

rewrite-expression-head

Rules

74×	`times-frac`
42×	`add-sqr-sqrt`
38×	`add-cube-cbrt` `*-un-lft-identity`
36×	`add-exp-log`
22×	`add-cbrt-cube`
20×	`associate-/r*`
19×	`div-exp`
18×	`unpow-prod-down`
11×	`associate-/r/`
10×	`pow1`
8×	`associate-l` `prod-exp`
7×	`cbrt-undiv`
6×	`associate-r` `div-inv` `sqr-pow`
5×	`neg-sub0` `pow-neg` `pow-sub`
4×	`pow-to-exp` `pow-exp` `cbrt-unprod` `associate-/l*` `add-log-exp`
2×	`frac-2neg` `pow-prod-down` `clear-num` `log-pow` `*-commutative` `unswap-sqr`
1×	`exp-diff` `associate-*r/` `associate-/l/`

Counts

4 → 150

Calls

4 calls:

153.0ms	(/ (* y (exp (- (- b (* (log a) t)) (* (log z) y)))) (pow a (- 1.0)))
8.0ms	(* (log a) t)
8.0ms	(* (log z) y)
187.0ms	(/ x (/ (* y (exp (- (- b (* (log a) t)) (* (log z) y)))) (pow a (- 1.0))))

series877.0ms

Counts

4 → 12

Calls

4 calls:

319.0ms	(/ (* y (exp (- (- b (* (log a) t)) (* (log z) y)))) (pow a (- 1.0)))
78.0ms	(* (log a) t)
62.0ms	(* (log z) y)
418.0ms	(/ x (/ (* y (exp (- (- b (* (log a) t)) (* (log z) y)))) (pow a (- 1.0))))

simplify2.1s

Counts

162 → 162

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	305	3523
1	805	3284
2	4470	2862
done	5001	2861

prune813.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

regimes266.0ms

Accuracy

0% (1.4b remaining)

Error of 1.5b against oracle of 0.1b and baseline of 1.5b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	23
1	27	23
done	27	23

end0.0ms

sample12.4s

Algorithm

intervals

Results

5.7s	45437×	body	80	nan
2.4s	15323×	body	80	valid