Details

sample92.0ms

Algorithm

intervals

Results

30.0ms	292×	body	80	valid
30.0ms	326×	body	80	nan

simplify2.9s

Counts

1 → 1

Iterations

Iter	Nodes
done	5002
5	4010
4	996
3	269
2	84
1	30
0	15

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize41.0ms

Local error

Found 4 expressions with local error:

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

rewrite675.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-log-exp`
18×	`add-sqr-sqrt`
14×	`*-un-lft-identity`
12×	`log-prod` `add-cube-cbrt`
10×	`sum-log`
9×	`pow1`
8×	`add-cbrt-cube` `associate-l` `add-exp-log`
7×	`associate-r`
6×	`distribute-rgt-in` `distribute-lft-in` `flip3--` `diff-log` `associate-*l/` `flip--` `associate--r+`
4×	`frac-add` `insert-posit16`
3×	`associate-+l+`
2×	`sub-neg` `pow-prod-down` `prod-exp` `associate--l+` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `flip3-+` `log-pow` `associate-+l-` `flip-+` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 94

Calls

4 calls:

449.0ms	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
30.0ms	(* (- a 0.5) b)
183.0ms	(- (+ (+ x y) z) (* z (log t)))
11.0ms	(* z (log t))

series316.0ms

Counts

4 → 12

Calls

4 calls:

179.0ms	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
50.0ms	(* (- a 0.5) b)
40.0ms	(- (+ (+ x y) z) (* z (log t)))
46.0ms	(* z (log t))

simplify1.6s

Counts

106 → 106

Iterations

Iter	Nodes
done	5001
2	2420
1	566
0	208

prune695.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

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

rewrite108.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-log-exp`
24×	`frac-add`
15×	`sum-log` `*-un-lft-identity`
13×	`flip3--` `flip--`
12×	`add-sqr-sqrt` `log-prod` `associate-*l/`
10×	`flip3-+` `add-cube-cbrt` `flip-+`
7×	`pow1`
6×	`distribute-rgt-in` `distribute-lft-in` `add-cbrt-cube` `add-exp-log` `associate--r+`
4×	`diff-log` `associate-r` `insert-posit16`
3×	`associate-+l+` `associate-l` `distribute-lft-out`
2×	`+-commutative` `sub-neg` `associate-+l-`
1×	`associate-+r+` `associate-+r-` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 99

Calls

4 calls:

71.0ms	(+ (+ x y) (+ (- z (* z (log t))) (* (- a 0.5) b)))
21.0ms	(+ (- z (* z (log t))) (* (- a 0.5) b))
5.0ms	(- z (* z (log t)))
10.0ms	(* z (log t))

series376.0ms

Counts

4 → 12

Calls

4 calls:

174.0ms	(+ (+ x y) (+ (- z (* z (log t))) (* (- a 0.5) b)))
105.0ms	(+ (- z (* z (log t))) (* (- a 0.5) b))
48.0ms	(- z (* z (log t)))
50.0ms	(* z (log t))

simplify2.3s

Counts

111 → 111

Iterations

Iter	Nodes
done	5001
2	4129
1	821
0	257

prune887.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b	(* b (- a 0.5))
0.0b	(+ (* (- 1 (log t)) z) (* b (- a 0.5)))
0.0b	(- 1 (log t))
0.3b	(* (- 1 (log t)) z)

rewrite105.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
19×	`*-un-lft-identity`
10×	`pow1` `associate-l`
9×	`add-cube-cbrt`
8×	`add-cbrt-cube` `associate-r` `add-exp-log`
7×	`flip3--` `flip--` `add-log-exp`
6×	`associate-l/` `associate-r/`
5×	`sub-neg` `distribute-lft-out--` `difference-of-squares`
4×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in` `frac-add` `insert-posit16`
3×	`log-prod` `associate--r+`
2×	`pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `sum-log` `flip3-+` `diff-log` `flip-+`

Counts

4 → 92

Calls

4 calls:

29.0ms	(* b (- a 0.5))
31.0ms	(+ (* (- 1 (log t)) z) (* b (- a 0.5)))
11.0ms	(- 1 (log t))
31.0ms	(* (- 1 (log t)) z)

series434.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(* b (- a 0.5))
119.0ms	(+ (* (- 1 (log t)) z) (* b (- a 0.5)))
167.0ms	(- 1 (log t))
103.0ms	(* (- 1 (log t)) z)

simplify1.6s

Counts

104 → 104

Iterations

Iter	Nodes
done	5002
2	2407
1	510
0	185

prune734.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (/ (- 1 (* (log t) (log t))) (+ 1 (log t))) z) (* b (- a 0.5)))
0.3b	(* (/ (- 1 (* (log t) (log t))) (+ 1 (log t))) z)
0.5b	(/ (- 1 (* (log t) (log t))) (+ 1 (log t)))
0.5b	(* (log t) (log t))

rewrite107.0ms

Algorithm

rewrite-expression-head

Rules

80×	`*-un-lft-identity`
52×	`add-sqr-sqrt`
51×	`times-frac`
35×	`associate-l`
34×	`add-cube-cbrt`
30×	`pow1`
22×	`distribute-lft-out` `difference-of-squares`
17×	`log-pow`
13×	`add-cbrt-cube` `add-exp-log`
7×	`associate-r`
6×	`log-prod` `swap-sqr` `add-log-exp`
5×	`distribute-rgt-in` `associate-/r` `distribute-lft-in` `associate-/l`
4×	`associate-+r+` `associate-/r/` `insert-posit16`
3×	`flip3-+` `associate-*l/` `prod-exp` `cbrt-unprod` `flip-+` `unswap-sqr`
2×	`cbrt-undiv` `sub-neg` `flip3--` `div-exp` `pow-prod-down` `frac-add` `associate-r/` `-commutative` `div-inv` `flip--` `associate-/l/`
1×	`pow2` `+-commutative` `clear-num` `sum-log` `frac-2neg` `pow-plus` `div-sub` `pow-sqr` `pow-prod-up`

Counts

4 → 159

Calls

4 calls:

17.0ms	(+ (* (/ (- 1 (* (log t) (log t))) (+ 1 (log t))) z) (* b (- a 0.5)))
50.0ms	(* (/ (- 1 (* (log t) (log t))) (+ 1 (log t))) z)
22.0ms	(/ (- 1 (* (log t) (log t))) (+ 1 (log t)))
13.0ms	(* (log t) (log t))

series2.0s

Counts

4 → 12

Calls

4 calls:

553.0ms	(+ (* (/ (- 1 (* (log t) (log t))) (+ 1 (log t))) z) (* b (- a 0.5)))
377.0ms	(* (/ (- 1 (* (log t) (log t))) (+ 1 (log t))) z)
864.0ms	(/ (- 1 (* (log t) (log t))) (+ 1 (log t)))
185.0ms	(* (log t) (log t))

simplify1.2s

Counts

171 → 171

Iterations

Iter	Nodes
done	5000
1	828
0	281

prune1.3s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes828.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	27
1	27
0	19

end0.0ms

sample3.8s

Algorithm

intervals

Results

1.5s	9186×	body	80	nan
1.4s	9158×	body	80	valid
1.0ms	1×	body	1280	valid
1.0ms	2×	body	320	valid
0.0ms	1×	body	160	valid