Details

sample348.0ms

Algorithm

intervals

Results

167.0ms	1237×	body	80	nan
46.0ms	390×	body	80	valid
9.0ms	13×	body	640	valid
6.0ms	15×	body	320	valid
6.0ms	3×	body	1280	valid
3.0ms	11×	body	160	valid

simplify1.9s

Counts

1 → 1

Iterations

Iter	Nodes
done	5004
5	1059
4	334
3	127
2	58
1	30
0	17

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.4b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b))))
0.1b	(* y (- (log z) t))
0.3b	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
5.6b	(log (- 1.0 z))

rewrite117.0ms

Algorithm

rewrite-expression-head

Rules

27×	`log-prod`
24×	`add-sqr-sqrt`
23×	`*-un-lft-identity`
22×	`associate--l+`
17×	`distribute-rgt-in` `distribute-lft-in`
14×	`associate-+r+` `add-cube-cbrt`
10×	`associate-+l+` `associate-*r/`
9×	`add-log-exp`
8×	`pow1`
7×	`add-exp-log`
6×	`sub-neg` `flip3--` `add-cbrt-cube` `associate-r` `flip--`
5×	`distribute-lft-out--`
4×	`frac-add` `difference-of-squares`
3×	`exp-prod` `associate-l`
2×	`log-div` `sum-log` `log-pow` `rem-exp-log`
1×	`+-commutative` `flip3-+` `rem-log-exp` `exp-sum` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

4 → 101

Calls

4 calls:

56.0ms	(exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b))))
24.0ms	(* y (- (log z) t))
21.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
8.0ms	(log (- 1.0 z))

series699.0ms

Counts

4 → 12

Calls

4 calls:

214.0ms	(exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b))))
96.0ms	(* y (- (log z) t))
316.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
72.0ms	(log (- 1.0 z))

simplify1.9s

Counts

113 → 113

Iterations

Iter	Nodes
done	5009
2	1966
1	657
0	254

prune956.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize94.0ms

Local error

Found 4 expressions with local error:

0.1b	(* y (- (log z) t))
0.2b	(* (/ 1.0 z) (/ 1.0 z))
0.3b	(+ (* y (- (log z) t)) (* a (- (- (- (log 1.0) (* 1.0 z)) (/ 1/2 (* (/ 1.0 z) (/ 1.0 z)))) b)))
0.8b	(/ 1/2 (* (/ 1.0 z) (/ 1.0 z)))

rewrite173.0ms

Algorithm

rewrite-expression-head

Rules

58×	`add-sqr-sqrt`
45×	`*-un-lft-identity`
43×	`times-frac`
42×	`associate--l+` `add-cube-cbrt`
36×	`add-cbrt-cube` `add-exp-log`
19×	`distribute-rgt-in` `distribute-lft-in` `associate-r`
18×	`associate-+r+` `log-prod`
16×	`associate-l`
14×	`pow1`
13×	`cbrt-undiv` `swap-sqr` `div-exp`
12×	`associate-*r/`
10×	`associate-+l+` `sub-neg`
9×	`prod-exp` `cbrt-unprod`
6×	`add-log-exp`
5×	`flip3--` `div-inv` `flip--` `unswap-sqr`
4×	`frac-add`
3×	`associate-/r/` `associate-/l*`
2×	`frac-times` `pow-prod-down` `associate-l/` `-commutative` `distribute-lft-out--`
1×	`pow2` `+-commutative` `clear-num` `associate-/r*` `sum-log` `frac-2neg` `flip3-+` `pow-plus` `pow-sqr` `log-pow` `pow-prod-up` `flip-+` `difference-of-squares`

Counts

4 → 173

Calls

4 calls:

21.0ms	(* y (- (log z) t))
18.0ms	(* (/ 1.0 z) (/ 1.0 z))
115.0ms	(+ (* y (- (log z) t)) (* a (- (- (- (log 1.0) (* 1.0 z)) (/ 1/2 (* (/ 1.0 z) (/ 1.0 z)))) b)))
12.0ms	(/ 1/2 (* (/ 1.0 z) (/ 1.0 z)))

series495.0ms

Counts

4 → 12

Calls

4 calls:

104.0ms	(* y (- (log z) t))
43.0ms	(* (/ 1.0 z) (/ 1.0 z))
318.0ms	(+ (* y (- (log z) t)) (* a (- (- (- (log 1.0) (* 1.0 z)) (/ 1/2 (* (/ 1.0 z) (/ 1.0 z)))) b)))
29.0ms	(/ 1/2 (* (/ 1.0 z) (/ 1.0 z)))

simplify2.2s

Counts

185 → 185

Iterations

Iter	Nodes
done	5002
2	3396
1	965
0	329

prune1.7s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize112.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)
0.8b	(/ 1/2 (* (/ 1.0 z) (/ 1.0 z)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-cbrt-cube` `add-exp-log`
9×	`cbrt-prod` `add-sqr-sqrt` `cbrt-undiv` `*-un-lft-identity` `div-exp` `add-cube-cbrt`
4×	`pow1` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`times-frac` `pow1/3` `associate-/r/` `associate-/l*`
1×	`frac-times` `clear-num` `associate-/r` `frac-2neg` `associate-l/` `associate-*r/` `div-inv`

Counts

4 → 63

Calls

4 calls:

1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)
28.0ms	(/ 1/2 (* (/ 1.0 z) (/ 1.0 z)))

series833.0ms

Counts

4 → 12

Calls

4 calls:

272.0ms	(cbrt z)
275.0ms	(cbrt z)
241.0ms	(cbrt z)
45.0ms	(/ 1/2 (* (/ 1.0 z) (/ 1.0 z)))

simplify2.6s

Counts

75 → 75

Iterations

Iter	Nodes
done	5074
3	4206
2	804
1	230
0	93

prune876.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize170.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))))
5.6b	(log (- 1.0 z))
5.6b	(log (- 1.0 z))
5.6b	(log (- 1.0 z))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

15×	`log-prod`
14×	`add-sqr-sqrt` `*-un-lft-identity`
8×	`add-cube-cbrt`
7×	`pow1` `add-exp-log`
6×	`log-div`
4×	`cbrt-prod` `add-cbrt-cube` `add-log-exp`
3×	`flip3--` `rem-log-exp` `log-pow` `flip--` `distribute-lft-out--` `difference-of-squares`
1×	`pow1/3` `exp-sum`

Counts

4 → 60

Calls

4 calls:

26.0ms	(cbrt (exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))))
7.0ms	(log (- 1.0 z))
8.0ms	(log (- 1.0 z))
7.0ms	(log (- 1.0 z))

series479.0ms

Counts

4 → 12

Calls

4 calls:

273.0ms	(cbrt (exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))))
58.0ms	(log (- 1.0 z))
83.0ms	(log (- 1.0 z))
64.0ms	(log (- 1.0 z))

simplify2.7s

Counts

72 → 72

Iterations

Iter	Nodes
done	5002
4	4782
3	1536
2	557
1	249
0	119

prune883.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes1.1s

Accuracy

0% (0.2b remaining)

Error of 0.5b against oracle of 0.3b and baseline of 0.5b

bsearch0.0ms

simplify8.0ms

Iterations

Iter	Nodes
done	35
1	35
0	28

end0.0ms

sample11.2s

Algorithm

intervals

Results

6.4s	40502×	body	80	nan
1.5s	12397×	body	80	valid
182.0ms	334×	body	640	valid
174.0ms	432×	body	320	valid
81.0ms	257×	body	160	valid
72.0ms	71×	body	1280	valid