Details

sample159.0ms

Algorithm

intervals

Results

44.0ms	782×	body	80	nan
31.0ms	187×	body	80	valid
9.0ms	26×	body	640	valid
8.0ms	11×	body	1280	valid
4.0ms	19×	body	320	valid
2.0ms	16×	body	160	valid

simplify413.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
8	618
7	187
6	90
5	59
4	44
3	38
2	30
1	21
0	12

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.7b

localize35.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x (log y)) t)
0.0b	(* (log (- 1.0 y)) z)
0.3b	(* x (log y))
6.2b	(log (- 1.0 y))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
17×	`log-prod`
15×	`*-un-lft-identity`
13×	`add-cube-cbrt`
11×	`pow1`
9×	`add-exp-log`
8×	`add-cbrt-cube`
7×	`associate-r` `associate-l`
6×	`distribute-rgt-in` `distribute-lft-in` `associate--l+` `add-log-exp`
3×	`log-pow`
2×	`log-div` `flip3--` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip--` `unswap-sqr`
1×	`sub-neg` `diff-log` `rem-log-exp` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 78

Calls

4 calls:

7.0ms	(- (* x (log y)) t)
7.0ms	(* (log (- 1.0 y)) z)
11.0ms	(* x (log y))
5.0ms	(log (- 1.0 y))

series296.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(- (* x (log y)) t)
123.0ms	(* (log (- 1.0 y)) z)
42.0ms	(* x (log y))
53.0ms	(log (- 1.0 y))

simplify664.0ms

Counts

90 → 90

Iterations

Iter	Nodes
done	5000
2	1262
1	409
0	187

prune562.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (pow y 2) 0.5)
0.0b	(- (* z (- (log 1.0) (* 1.0 y))) (* z (* (pow y 2) 0.5)))
0.3b	(* x (log y))
7.3b	(* z (* (pow y 2) 0.5))

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt`
21×	`add-exp-log`
16×	`associate--l+`
14×	`-un-lft-identity` `associate-l*` `add-cube-cbrt`
13×	`add-cbrt-cube`
12×	`log-prod`
11×	`prod-exp`
9×	`pow1`
8×	`distribute-rgt-in` `distribute-lft-in` `associate-r`
6×	`add-log-exp`
5×	`cbrt-unprod` `unswap-sqr`
4×	`unpow-prod-down`
3×	`sub-neg` `*-commutative`
2×	`pow-to-exp` `pow-prod-down` `pow-exp` `unpow2` `sqr-pow`
1×	`flip3--` `diff-log` `log-pow` `flip--` `distribute-lft-out--`

Counts

4 → 94

Calls

4 calls:

18.0ms	(* (pow y 2) 0.5)
31.0ms	(- (* z (- (log 1.0) (* 1.0 y))) (* z (* (pow y 2) 0.5)))
7.0ms	(* x (log y))
20.0ms	(* z (* (pow y 2) 0.5))

series262.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(* (pow y 2) 0.5)
123.0ms	(- (* z (- (log 1.0) (* 1.0 y))) (* z (* (pow y 2) 0.5)))
58.0ms	(* x (log y))
51.0ms	(* z (* (pow y 2) 0.5))

simplify856.0ms

Counts

106 → 106

Iterations

Iter	Nodes
done	5001
2	1759
1	409
0	177

prune718.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize51.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (* z (- (log 1.0) (* (* 0.5 y) y))) (* 1.0 (* y z))) (- (* x (log y)) t))
0.0b	(- (* z (- (log 1.0) (* (* 0.5 y) y))) (* 1.0 (* y z)))
0.3b	(* x (log y))
7.3b	(* z (- (log 1.0) (* (* 0.5 y) y)))

rewrite170.0ms

Algorithm

rewrite-expression-head

Rules

44×	`associate--l+`
30×	`log-prod`
22×	`add-sqr-sqrt`
21×	`distribute-rgt-in` `distribute-lft-in`
20×	`*-un-lft-identity`
18×	`add-cube-cbrt` `add-log-exp`
12×	`associate-+l+`
9×	`pow1` `sub-neg`
8×	`associate-+r+` `add-cbrt-cube` `add-exp-log`
7×	`associate-r`
6×	`flip3--` `associate-l` `flip--`
5×	`diff-log`
4×	`sum-log` `frac-add`
2×	`pow-prod-down` `prod-exp` `associate-r/` `-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `associate-+r-` `flip3-+` `log-pow` `associate-+l-` `flip-+` `distribute-lft-out`

Counts

4 → 118

Calls

4 calls:

106.0ms	(+ (- (* z (- (log 1.0) (* (* 0.5 y) y))) (* 1.0 (* y z))) (- (* x (log y)) t))
26.0ms	(- (* z (- (log 1.0) (* (* 0.5 y) y))) (* 1.0 (* y z)))
7.0ms	(* x (log y))
22.0ms	(* z (- (log 1.0) (* (* 0.5 y) y)))

series676.0ms

Counts

4 → 12

Calls

4 calls:

244.0ms	(+ (- (* z (- (log 1.0) (* (* 0.5 y) y))) (* 1.0 (* y z))) (- (* x (log y)) t))
132.0ms	(- (* z (- (log 1.0) (* (* 0.5 y) y))) (* 1.0 (* y z)))
60.0ms	(* x (log y))
239.0ms	(* z (- (log 1.0) (* (* 0.5 y) y)))

simplify1.2s

Counts

130 → 130

Iterations

Iter	Nodes
done	5000
2	2590
1	651
0	234

prune944.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize68.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* 2 (log (cbrt y))) x)
0.2b	(* x (log (cbrt y)))
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`*-un-lft-identity` `add-cube-cbrt`
12×	`cbrt-prod` `pow1` `log-prod`
11×	`add-cbrt-cube` `add-exp-log`
8×	`associate-r`
6×	`distribute-rgt-in` `distribute-lft-in`
4×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`pow1/3`
2×	`log-pow` `*-commutative`
1×	`unswap-sqr`

Counts

4 → 72

Calls

4 calls:

22.0ms	(* (* 2 (log (cbrt y))) x)
14.0ms	(* x (log (cbrt y)))
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series1.1s

Counts

4 → 12

Calls

4 calls:

151.0ms	(* (* 2 (log (cbrt y))) x)
138.0ms	(* x (log (cbrt y)))
581.0ms	(cbrt y)
249.0ms	(cbrt y)

simplify743.0ms

Counts

84 → 84

Iterations

Iter	Nodes
done	5000
2	1202
1	263
0	110

prune610.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

regimes430.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	31
1	31
0	22

end0.0ms

sample6.8s

Algorithm

intervals

Results

2.6s	24066×	body	80	nan
871.0ms	879×	body	640	valid
619.0ms	5572×	body	80	valid
414.0ms	385×	body	1280	valid
266.0ms	730×	body	320	valid
89.0ms	471×	body	160	valid