Details

sample376.0ms

Algorithm

intervals

Results

200.0ms	1597×	body	80	nan
44.0ms	436×	body	80	valid
5.0ms	17×	body	320	valid
5.0ms	10×	body	640	valid
4.0ms	4×	body	1280	valid
1.0ms	7×	body	160	valid

simplify1.7s

Counts

1 → 1

Iterations

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

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.8b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b	(* a (- (log (- 1.0 z)) b))
0.0b	(- (log z) t)
0.1b	(* y (- (log z) t))
5.8b	(log (- 1.0 z))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-sqr-sqrt`
29×	`*-un-lft-identity`
24×	`log-prod`
19×	`associate--l+`
14×	`add-cube-cbrt`
12×	`distribute-rgt-in` `pow1` `distribute-lft-in` `associate-r`
9×	`add-exp-log` `distribute-lft-out--`
8×	`add-cbrt-cube`
6×	`associate-l` `difference-of-squares`
5×	`sub-neg` `add-log-exp`
4×	`flip3--` `associate-*r/` `log-pow` `flip--`
2×	`log-div` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`diff-log` `rem-log-exp`

Counts

4 → 104

Calls

4 calls:

35.0ms	(* a (- (log (- 1.0 z)) b))
6.0ms	(- (log z) t)
23.0ms	(* y (- (log z) t))
6.0ms	(log (- 1.0 z))

series373.0ms

Counts

4 → 12

Calls

4 calls:

95.0ms	(* a (- (log (- 1.0 z)) b))
101.0ms	(- (log z) t)
120.0ms	(* y (- (log z) t))
56.0ms	(log (- 1.0 z))

simplify2.1s

Counts

116 → 116

Iterations

Iter	Nodes
done	5001
3	3925
2	1234
1	493
0	231

prune894.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize57.0ms

Local error

Found 4 expressions with local error:

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

rewrite207.0ms

Algorithm

rewrite-expression-head

Rules

44×	`associate--l+`
24×	`log-prod`
20×	`distribute-rgt-in` `distribute-lft-in`
19×	`add-sqr-sqrt`
18×	`*-un-lft-identity`
17×	`add-log-exp`
15×	`add-cube-cbrt`
12×	`associate-+r+`
10×	`associate-+l+` `sub-neg`
7×	`pow1`
6×	`flip3--` `add-cbrt-cube` `associate-r` `associate-*r/` `add-exp-log` `flip--`
4×	`sum-log` `frac-add`
3×	`exp-prod` `diff-log` `associate-l` `rem-exp-log`
2×	`associate-+r-` `distribute-lft-out--`
1×	`+-commutative` `flip3-+` `exp-diff` `exp-sum` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `flip-+` `difference-of-squares` `unswap-sqr`

Counts

4 → 109

Calls

4 calls:

48.0ms	(+ (* y (- (log z) t)) (- (* a (- (log 1.0) (* 1.0 z))) (* b a)))
16.0ms	(- (* a (- (log 1.0) (* 1.0 z))) (* b a))
119.0ms	(exp (+ (* y (- (log z) t)) (- (* a (- (log 1.0) (* 1.0 z))) (* b a))))
20.0ms	(* y (- (log z) t))

series526.0ms

Counts

4 → 12

Calls

4 calls:

187.0ms	(+ (* y (- (log z) t)) (- (* a (- (log 1.0) (* 1.0 z))) (* b a)))
93.0ms	(- (* a (- (log 1.0) (* 1.0 z))) (* b a))
160.0ms	(exp (+ (* y (- (log z) t)) (- (* a (- (log 1.0) (* 1.0 z))) (* b a))))
87.0ms	(* y (- (log z) t))

simplify1.7s

Counts

121 → 121

Iterations

Iter	Nodes
done	5001
2	2221
1	600
0	225

prune1.0s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize116.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* y (- (log z) t)) (- (* a (- (log 1.0) (* 1.0 z))) (* b a)))) (cbrt (+ (* y (- (log z) t)) (- (* a (- (log 1.0) (* 1.0 z))) (* b a)))))
10.5b	(cbrt (+ (* y (- (log z) t)) (- (* a (- (log 1.0) (* 1.0 z))) (* b a))))
10.5b	(cbrt (+ (* y (- (log z) t)) (- (* a (- (log 1.0) (* 1.0 z))) (* b a))))
10.5b	(cbrt (+ (* y (- (log z) t)) (- (* a (- (log 1.0) (* 1.0 z))) (* b a))))

rewrite437.0ms

Algorithm

rewrite-expression-head

Rules

102×	`cbrt-div`
74×	`associate-*r/`
68×	`flip3--` `frac-add` `flip--`
36×	`frac-times`
25×	`cbrt-prod`
23×	`add-sqr-sqrt`
17×	`flip3-+` `flip-+`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `associate-*l/` `add-exp-log`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 139

Calls

4 calls:

314.0ms	(* (cbrt (+ (* y (- (log z) t)) (- (* a (- (log 1.0) (* 1.0 z))) (* b a)))) (cbrt (+ (* y (- (log z) t)) (- (* a (- (log 1.0) (* 1.0 z))) (* b a)))))
26.0ms	(cbrt (+ (* y (- (log z) t)) (- (* a (- (log 1.0) (* 1.0 z))) (* b a))))
41.0ms	(cbrt (+ (* y (- (log z) t)) (- (* a (- (log 1.0) (* 1.0 z))) (* b a))))
48.0ms	(cbrt (+ (* y (- (log z) t)) (- (* a (- (log 1.0) (* 1.0 z))) (* b a))))

series11.0s

Counts

4 → 12

Calls

4 calls:

7.9s	(* (cbrt (+ (* y (- (log z) t)) (- (* a (- (log 1.0) (* 1.0 z))) (* b a)))) (cbrt (+ (* y (- (log z) t)) (- (* a (- (log 1.0) (* 1.0 z))) (* b a)))))
1.0s	(cbrt (+ (* y (- (log z) t)) (- (* a (- (log 1.0) (* 1.0 z))) (* b a))))
1.1s	(cbrt (+ (* y (- (log z) t)) (- (* a (- (log 1.0) (* 1.0 z))) (* b a))))
1.0s	(cbrt (+ (* y (- (log z) t)) (- (* a (- (log 1.0) (* 1.0 z))) (* b a))))

simplify2.7s

Counts

151 → 151

Iterations

Iter	Nodes
done	5001
2	2321
1	730
0	302

prune2.0s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize49.0ms

Local error

Found 4 expressions with local error:

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

rewrite1.1s

Algorithm

rewrite-expression-head

Rules

47×	`add-sqr-sqrt`
33×	`*-un-lft-identity`
27×	`add-cube-cbrt`
26×	`sqrt-pow1`
25×	`pow1`
22×	`sqrt-prod`
21×	`exp-prod`
19×	`associate-r`
13×	`associate-l`
12×	`log-prod` `associate--l+`
10×	`distribute-rgt-in` `distribute-lft-in` `add-cbrt-cube` `add-exp-log` `add-log-exp`
9×	`swap-sqr`
8×	`pow1/2` `pow-prod-down` `pow-prod-up`
6×	`pow-sqr` `unswap-sqr`
5×	`associate-+r-` `exp-diff` `exp-sum` `associate-*r/`
4×	`sub-neg` `sqrt-div` `distribute-lft-out--`
3×	`prod-exp` `*-commutative` `cbrt-unprod` `rem-exp-log`
2×	`sum-log` `flip3--` `log-pow` `flip--` `difference-of-squares`
1×	`pow2` `frac-times` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `diff-log` `associate-*l/`

Counts

4 → 145

Calls

4 calls:

148.0ms	(exp (+ (* y (- (log z) t)) (- (* a (- (log 1.0) (* 1.0 z))) (* b a))))
894.0ms	(* (sqrt (exp (+ (* y (- (log z) t)) (- (* a (- (log 1.0) (* 1.0 z))) (* b a))))) (sqrt (exp (+ (* y (- (log z) t)) (- (* a (- (log 1.0) (* 1.0 z))) (* b a))))))
21.0ms	(* y (- (log z) t))
27.0ms	(* y (- (log z) t))

series583.0ms

Counts

4 → 12

Calls

4 calls:

170.0ms	(exp (+ (* y (- (log z) t)) (- (* a (- (log 1.0) (* 1.0 z))) (* b a))))
183.0ms	(* (sqrt (exp (+ (* y (- (log z) t)) (- (* a (- (log 1.0) (* 1.0 z))) (* b a))))) (sqrt (exp (+ (* y (- (log z) t)) (- (* a (- (log 1.0) (* 1.0 z))) (* b a))))))
97.0ms	(* y (- (log z) t))
133.0ms	(* y (- (log z) t))

simplify3.3s

Counts

157 → 157

Iterations

Iter	Nodes
done	5040
3	3268
2	953
1	378
0	192

prune1.3s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes455.0ms

Accuracy

0% (0.0b remaining)

Error of 0.6b against oracle of 0.6b and baseline of 0.6b

bsearch0.0ms

simplify6.0ms

Iterations

Iter	Nodes
done	28
1	28
0	22

end0.0ms

sample11.9s

Algorithm

intervals

Results

6.1s	41457×	body	80	nan
1.9s	12585×	body	80	valid
589.0ms	326×	body	640	valid
195.0ms	408×	body	320	valid
67.0ms	66×	body	1280	valid
58.0ms	260×	body	160	valid