Details

sample491.0ms

Algorithm

intervals

Results

241.0ms	1418×	body	80	nan
89.0ms	481×	body	80	valid

simplify2.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	5004
5	1760
4	460
3	167
2	63
1	32
0	17

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.8b

localize32.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- t 1.0) (log a))
0.3b	(* y (log z))
0.9b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.0b	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

rewrite265.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
19×	`*-un-lft-identity`
15×	`add-cube-cbrt`
13×	`add-cbrt-cube`
12×	`log-prod` `add-exp-log`
10×	`pow1` `add-log-exp`
8×	`associate-r` `associate-l`
6×	`distribute-rgt-in` `distribute-lft-in`
5×	`exp-prod`
4×	`insert-posit16`
3×	`associate-/r*` `times-frac` `exp-sum` `prod-exp` `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×	`clear-num` `sum-log` `sub-neg` `frac-2neg` `flip3--` `associate--l+` `associate-r/` `div-inv` `flip--` `associate-/l` `associate-/l/`

Counts

4 → 99

Calls

4 calls:

28.0ms	(* (- t 1.0) (log a))
7.0ms	(* y (log z))
57.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
171.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

series494.0ms

Counts

4 → 12

Calls

4 calls:

106.0ms	(* (- t 1.0) (log a))
58.0ms	(* y (log z))
131.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
198.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

simplify1.8s

Counts

111 → 111

Iterations

Iter	Nodes
done	5001
2	1710
1	537
0	237

prune976.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.7b

localize50.0ms

Local error

Found 4 expressions with local error:

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

rewrite1.1s

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
16×	`*-un-lft-identity` `add-log-exp`
15×	`add-cbrt-cube` `add-exp-log`
12×	`add-cube-cbrt`
10×	`exp-prod`
7×	`pow1`
6×	`log-prod` `exp-diff` `exp-sum` `rem-exp-log`
4×	`sqrt-div` `diff-log` `associate-r` `prod-exp` `associate-*r/` `cbrt-unprod` `insert-posit16`
3×	`distribute-rgt-in` `cbrt-undiv` `associate-/r` `distribute-lft-in` `times-frac` `div-exp` `associate-l*` `associate-/l/`
2×	`sum-log` `sub-neg` `associate--l+` `distribute-lft-out--` `difference-of-squares`
1×	`frac-times` `clear-num` `frac-2neg` `pow-prod-down` `associate-l/` `log-pow` `-commutative` `div-inv` `associate-/l*` `unswap-sqr`

Counts

4 → 93

Calls

4 calls:

11.0ms	(* y (log z))
84.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
53.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
926.0ms	(/ (* x (* (sqrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) (sqrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))) y)

series592.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(* y (log z))
177.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
151.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
216.0ms	(/ (* x (* (sqrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) (sqrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))) y)

simplify1.9s

Counts

105 → 105

Iterations

Iter	Nodes
done	5005
2	1628
1	466
0	191

prune953.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0.6b

localize80.0ms

Local error

Found 4 expressions with local error:

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

rewrite1.9s

Algorithm

rewrite-expression-head

Rules

30×	`add-log-exp`
22×	`exp-diff`
16×	`sqrt-div` `associate-*r/`
15×	`add-cbrt-cube` `add-exp-log`
14×	`add-sqr-sqrt` `sum-log` `*-un-lft-identity`
11×	`associate-/l/`
10×	`add-cube-cbrt` `rem-exp-log`
9×	`exp-prod` `associate-+r-` `associate-+l-`
7×	`pow1`
6×	`distribute-lft-neg-out` `unsub-neg`
5×	`frac-times`
4×	`associate-l` `exp-sum` `prod-exp` `cbrt-unprod` `insert-posit16`
3×	`neg-sub0` `cbrt-undiv` `associate-/r` `times-frac` `div-exp` `associate-r*`
2×	`diff-log` `neg-log`
1×	`clear-num` `sub-neg` `frac-2neg` `pow-prod-down` `associate-l/` `associate--l+` `log-pow` `-commutative` `div-inv` `distribute-lft-out` `associate-/l*` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 100

Calls

4 calls:

9.0ms	(* (log z) y)
85.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
164.0ms	(exp (+ (+ (* (log a) t) (- b)) (+ (* (log z) y) (* (- 1.0) (log a)))))
1.6s	(/ (* x (* (sqrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) (sqrt (exp (+ (+ (* (log a) t) (- b)) (+ (* (log z) y) (* (- 1.0) (log a)))))))) y)

series764.0ms

Counts

4 → 12

Calls

4 calls:

82.0ms	(* (log z) y)
161.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
206.0ms	(exp (+ (+ (* (log a) t) (- b)) (+ (* (log z) y) (* (- 1.0) (log a)))))
314.0ms	(/ (* x (* (sqrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) (sqrt (exp (+ (+ (* (log a) t) (- b)) (+ (* (log z) y) (* (- 1.0) (log a)))))))) y)

simplify1.9s

Counts

112 → 112

Iterations

Iter	Nodes
done	5001
2	1704
1	525
0	220

prune1.5s

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 0.6b

localize129.0ms

Local error

Found 4 expressions with local error:

0.9b	(exp (+ (+ (* (log a) t) (- b)) (+ (* (log z) y) (* (- 1.0) (log a)))))
0.9b	(exp (+ (+ (* (log a) t) (- b)) (+ (* (log z) y) (* (- 1.0) (log a)))))
0.9b	(exp (+ (+ (* (log a) t) (- b)) (+ (* (log z) y) (* (- 1.0) (log a)))))
1.0b	(/ (* x (* (sqrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) (sqrt (* (* (cbrt (exp (+ (+ (* (log a) t) (- b)) (+ (* (log z) y) (* (- 1.0) (log a)))))) (cbrt (exp (+ (+ (* (log a) t) (- b)) (+ (* (log z) y) (* (- 1.0) (log a))))))) (cbrt (exp (+ (+ (* (log a) t) (- b)) (+ (* (log z) y) (* (- 1.0) (log a)))))))))) y)

rewrite5.2s

Algorithm

rewrite-expression-head

Rules

1311×	`exp-diff`
1080×	`cbrt-div`
865×	`frac-times`
716×	`associate-*r/`
657×	`associate-+r-` `associate-+l-`
646×	`sqrt-div`
438×	`distribute-lft-neg-out` `unsub-neg`
431×	`associate-/l/`
219×	`neg-sub0`
131×	`associate-*l/`
64×	`add-log-exp`
39×	`sum-log`
21×	`rem-exp-log`
15×	`*-un-lft-identity`
13×	`add-cbrt-cube` `add-exp-log`
12×	`exp-prod`
9×	`add-sqr-sqrt` `add-cube-cbrt`
6×	`neg-log`
4×	`pow1` `insert-posit16`
3×	`cbrt-undiv` `associate-/r*` `times-frac` `div-exp` `exp-sum` `prod-exp` `cbrt-unprod` `distribute-lft-out`
1×	`clear-num` `frac-2neg` `div-inv` `associate-/l*`

Counts

4 → 530

Calls

4 calls:

135.0ms	(exp (+ (+ (* (log a) t) (- b)) (+ (* (log z) y) (* (- 1.0) (log a)))))
150.0ms	(exp (+ (+ (* (log a) t) (- b)) (+ (* (log z) y) (* (- 1.0) (log a)))))
152.0ms	(exp (+ (+ (* (log a) t) (- b)) (+ (* (log z) y) (* (- 1.0) (log a)))))
4.7s	(/ (* x (* (sqrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) (sqrt (* (* (cbrt (exp (+ (+ (* (log a) t) (- b)) (+ (* (log z) y) (* (- 1.0) (log a)))))) (cbrt (exp (+ (+ (* (log a) t) (- b)) (+ (* (log z) y) (* (- 1.0) (log a))))))) (cbrt (exp (+ (+ (* (log a) t) (- b)) (+ (* (log z) y) (* (- 1.0) (log a)))))))))) y)

series829.0ms

Counts

4 → 12

Calls

4 calls:

148.0ms	(exp (+ (+ (* (log a) t) (- b)) (+ (* (log z) y) (* (- 1.0) (log a)))))
174.0ms	(exp (+ (+ (* (log a) t) (- b)) (+ (* (log z) y) (* (- 1.0) (log a)))))
193.0ms	(exp (+ (+ (* (log a) t) (- b)) (+ (* (log z) y) (* (- 1.0) (log a)))))
314.0ms	(/ (* x (* (sqrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) (sqrt (* (* (cbrt (exp (+ (+ (* (log a) t) (- b)) (+ (* (log z) y) (* (- 1.0) (log a)))))) (cbrt (exp (+ (+ (* (log a) t) (- b)) (+ (* (log z) y) (* (- 1.0) (log a))))))) (cbrt (exp (+ (+ (* (log a) t) (- b)) (+ (* (log z) y) (* (- 1.0) (log a)))))))))) y)

simplify2.1s

Counts

542 → 542

Iterations

Iter	Nodes
done	5003
2	1577
1	531
0	235

prune3.2s

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 0.6b

regimes2.2s

Accuracy

0% (2.4b remaining)

Error of 3.1b against oracle of 0.7b and baseline of 3.1b

bsearch0.0ms

simplify6.0ms

Iterations

Iter	Nodes
done	23
1	23
0	20

end0.0ms

sample13.5s

Algorithm

intervals

Results

7.4s	45031×	body	80	nan
3.2s	15175×	body	80	valid