Details

sample348.0ms

Algorithm

intervals

Results

187.0ms	1909×	body	80	nan
23.0ms	257×	body	80	valid

simplify1.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
5	1502
4	434
3	150
2	59
1	27
0	15

prune15.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize38.0ms

Local error

Found 4 expressions with local error:

0.0b	(- t (log z))
0.1b	(- (log (+ y x)) (- (- t (log z)) (* (- a 0.5) (log t))))
0.1b	(- (- t (log z)) (* (- a 0.5) (log t)))
0.1b	(* (- a 0.5) (log t))

rewrite187.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 101

Calls

4 calls:

5.0ms	(- t (log z))
63.0ms	(- (log (+ y x)) (- (- t (log z)) (* (- a 0.5) (log t))))
78.0ms	(- (- t (log z)) (* (- a 0.5) (log t)))
37.0ms	(* (- a 0.5) (log t))

series573.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(- t (log z))
297.0ms	(- (log (+ y x)) (- (- t (log z)) (* (- a 0.5) (log t))))
145.0ms	(- (- t (log z)) (* (- a 0.5) (log t)))
91.0ms	(* (- a 0.5) (log t))

simplify1.2s

Counts

113 → 113

Iterations

Iter	Nodes
done	5000
2	2629
1	647
0	246

prune913.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize51.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 0.5 (log t)) (* a (log t)))
0.1b	(- (log (+ y x)) (+ (- (- (* 0.5 (log t)) (* a (log t))) (log z)) t))
0.2b	(- (- (* 0.5 (log t)) (* a (log t))) (log z))
0.3b	(* a (log t))

rewrite390.0ms

Algorithm

rewrite-expression-head

Rules

41×	`*-un-lft-identity`
31×	`log-prod`
24×	`associate--l+`
22×	`add-sqr-sqrt`
17×	`add-log-exp`
16×	`add-cube-cbrt`
14×	`pow1` `distribute-lft-out--`
12×	`distribute-rgt-in` `distribute-lft-in`
11×	`diff-log`
10×	`associate--r+`
8×	`log-pow`
7×	`distribute-lft-out`
6×	`add-cbrt-cube` `add-exp-log`
4×	`sub-neg` `associate-r`
3×	`associate--l-` `sum-log` `flip3--` `associate-l` `flip--`
2×	`log-div` `difference-of-squares`
1×	`flip3-+` `distribute-rgt-out--` `pow-prod-down` `prod-exp` `*-commutative` `associate-+l-` `cbrt-unprod` `flip-+` `associate--r-` `unswap-sqr`

Counts

4 → 110

Calls

4 calls:

16.0ms	(- (* 0.5 (log t)) (* a (log t)))
280.0ms	(- (log (+ y x)) (+ (- (- (* 0.5 (log t)) (* a (log t))) (log z)) t))
74.0ms	(- (- (* 0.5 (log t)) (* a (log t))) (log z))
13.0ms	(* a (log t))

series720.0ms

Counts

4 → 12

Calls

4 calls:

192.0ms	(- (* 0.5 (log t)) (* a (log t)))
282.0ms	(- (log (+ y x)) (+ (- (- (* 0.5 (log t)) (* a (log t))) (log z)) t))
199.0ms	(- (- (* 0.5 (log t)) (* a (log t))) (log z))
46.0ms	(* a (log t))

simplify852.0ms

Counts

122 → 122

Iterations

Iter	Nodes
done	5000
2	2125
1	580
0	233

prune961.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize65.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- 0.5 a) (log t))
0.3b	(- (* (- 0.5 a) (log t)) (* 2 (log (cbrt z))))
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 81

Calls

4 calls:

35.0ms	(* (- 0.5 a) (log t))
30.0ms	(- (* (- 0.5 a) (log t)) (* 2 (log (cbrt z))))
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series873.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(* (- 0.5 a) (log t))
203.0ms	(- (* (- 0.5 a) (log t)) (* 2 (log (cbrt z))))
300.0ms	(cbrt z)
293.0ms	(cbrt z)

simplify649.0ms

Counts

93 → 93

Iterations

Iter	Nodes
done	5000
2	1330
1	400
0	172

prune886.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize51.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (log (sqrt t)) (- 0.5 a))
0.3b	(- (+ (* (log (sqrt t)) (- 0.5 a)) (* (log (sqrt t)) (- 0.5 a))) (* 2 (log (cbrt z))))
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite121.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
14×	`*-un-lft-identity`
12×	`cbrt-prod` `log-prod` `add-cube-cbrt` `associate--r+`
9×	`add-log-exp`
8×	`distribute-rgt-in` `pow1` `distribute-lft-in`
6×	`add-cbrt-cube` `associate-l` `add-exp-log`
5×	`associate-r`
3×	`sub-neg` `log-pow`
2×	`flip3--` `pow1/3` `diff-log` `associate-*r/` `flip--` `distribute-lft-out--`
1×	`sum-log` `sqrt-pow1` `pow1/2` `count-2` `pow-prod-down` `prod-exp` `associate--l+` `*-commutative` `cbrt-unprod` `difference-of-squares` `unswap-sqr`

Counts

4 → 78

Calls

4 calls:

32.0ms	(* (log (sqrt t)) (- 0.5 a))
85.0ms	(- (+ (* (log (sqrt t)) (- 0.5 a)) (* (log (sqrt t)) (- 0.5 a))) (* 2 (log (cbrt z))))
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series824.0ms

Counts

4 → 12

Calls

4 calls:

93.0ms	(* (log (sqrt t)) (- 0.5 a))
240.0ms	(- (+ (* (log (sqrt t)) (- 0.5 a)) (* (log (sqrt t)) (- 0.5 a))) (* 2 (log (cbrt z))))
238.0ms	(cbrt z)
253.0ms	(cbrt z)

simplify1.0s

Counts

90 → 90

Iterations

Iter	Nodes
done	5002
2	1804
1	467
0	174

prune862.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

regimes917.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	24
1	24
0	19

end0.0ms

sample13.6s

Algorithm

intervals

Results

8.1s	57606×	body	80	nan
1.1s	8032×	body	80	valid