Details

sample533.0ms

Algorithm

intervals

Results

324.0ms	1418×	body	80	nan
99.0ms	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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.8b

localize35.0ms

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)

rewrite313.0ms

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:

20.0ms	(* (- t 1.0) (log a))
7.0ms	(* y (log z))
90.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
193.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

series576.0ms

Counts

4 → 12

Calls

4 calls:

99.0ms	(* (- t 1.0) (log a))
52.0ms	(* y (log z))
172.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
252.0ms	(/ (* 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

localize75.0ms

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)

rewrite1.5s

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:

14.0ms	(* y (log z))
115.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
85.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.3s	(/ (* x (* (sqrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) (sqrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))) y)

series651.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(* y (log z))
196.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
173.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
238.0ms	(/ (* x (* (sqrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) (sqrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))) y)

simplify2.1s

Counts

105 → 105

Iterations

Iter	Nodes
done	5005
2	1628
1	466
0	191

prune1.5s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0.6b

localize107.0ms

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 (+ (+ (* (log a) t) (- b)) (+ (* (log z) y) (* (- 1.0) (log a)))))) (sqrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))) y)

rewrite2.3s

Algorithm

rewrite-expression-head

Rules

30×	`add-log-exp`
22×	`exp-diff`
16×	`sqrt-div`
15×	`add-cbrt-cube` `add-exp-log`
14×	`add-sqr-sqrt` `sum-log` `*-un-lft-identity`
12×	`associate-*r/`
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` `associate-*l/`
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+` `log-pow` `-commutative` `div-inv` `distribute-lft-out` `associate-/l` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 100

Calls

4 calls:

14.0ms	(* (log z) y)
103.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
139.0ms	(exp (+ (+ (* (log a) t) (- b)) (+ (* (log z) y) (* (- 1.0) (log a)))))
2.0s	(/ (* x (* (sqrt (exp (+ (+ (* (log a) t) (- b)) (+ (* (log z) y) (* (- 1.0) (log a)))))) (sqrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))) y)

series926.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(* (log z) y)
141.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
204.0ms	(exp (+ (+ (* (log a) t) (- b)) (+ (* (log z) y) (* (- 1.0) (log a)))))
501.0ms	(/ (* x (* (sqrt (exp (+ (+ (* (log a) t) (- b)) (+ (* (log z) y) (* (- 1.0) (log a)))))) (sqrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))) y)

simplify2.5s

Counts

112 → 112

Iterations

Iter	Nodes
done	5002
2	1705
1	527
0	220

prune1.3s

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 0.6b

localize109.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.9b	(exp (+ (- (* (log a) (- t 1.0)) b) (* y (log z))))
0.9b	(exp (+ (- (* (log a) (- t 1.0)) b) (* y (log z))))
1.0b	(/ x (* (/ (cbrt y) (sqrt (exp (+ (- (* (log a) (- t 1.0)) b) (* y (log z)))))) (/ (cbrt y) (sqrt (exp (+ (- (* (log a) (- t 1.0)) b) (* y (log z))))))))

rewrite1.1s

Algorithm

rewrite-expression-head

Rules

22×	`add-exp-log`
18×	`add-cbrt-cube`
16×	`add-log-exp`
9×	`add-sqr-sqrt` `cbrt-undiv` `*-un-lft-identity` `div-exp` `add-cube-cbrt`
6×	`exp-prod` `rem-exp-log`
4×	`pow1` `sum-log` `prod-exp` `cbrt-unprod` `insert-posit16`
3×	`cbrt-prod` `times-frac` `associate-/r/` `associate-/l*`
2×	`exp-diff` `diff-log` `exp-sum` `associate-+l-`
1×	`frac-times` `clear-num` `associate-/r` `frac-2neg` `pow1/3` `associate-l/` `associate-*r/` `div-inv`

Counts

4 → 75

Calls

4 calls:

1.0ms	(cbrt y)
165.0ms	(exp (+ (- (* (log a) (- t 1.0)) b) (* y (log z))))
128.0ms	(exp (+ (- (* (log a) (- t 1.0)) b) (* y (log z))))
808.0ms	(/ x (* (/ (cbrt y) (sqrt (exp (+ (- (* (log a) (- t 1.0)) b) (* y (log z)))))) (/ (cbrt y) (sqrt (exp (+ (- (* (log a) (- t 1.0)) b) (* y (log z))))))))

series1.2s

Counts

4 → 12

Calls

4 calls:

298.0ms	(cbrt y)
215.0ms	(exp (+ (- (* (log a) (- t 1.0)) b) (* y (log z))))
208.0ms	(exp (+ (- (* (log a) (- t 1.0)) b) (* y (log z))))
473.0ms	(/ x (* (/ (cbrt y) (sqrt (exp (+ (- (* (log a) (- t 1.0)) b) (* y (log z)))))) (/ (cbrt y) (sqrt (exp (+ (- (* (log a) (- t 1.0)) b) (* y (log z))))))))

simplify2.4s

Counts

87 → 87

Iterations

Iter	Nodes
done	5002
2	1249
1	412
0	168

prune959.0ms

Pruning

22 alts after pruning (21 fresh and 1 done)

Merged error: 0.6b

regimes2.9s

Accuracy

0% (0.4b remaining)

Error of 1.2b against oracle of 0.8b and baseline of 1.2b

bsearch0.0ms

simplify6.0ms

Iterations

Iter	Nodes
done	28
1	28
0	24

end0.0ms

sample14.5s

Algorithm

intervals

Results

7.5s	45031×	body	80	nan
3.2s	15175×	body	80	valid