Details

sample415.0ms

Algorithm

intervals

Results

280.0ms	1818×	body	80	nan
40.0ms	256×	body	80	valid

simplify2.2s

Counts

1 → 1

Iterations

Iter	Nodes
7	3740
6	1508
5	890
4	374
3	147
2	59
1	27
0	15

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize31.0ms

Local error

Found 3 expressions with local error:

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

rewrite172.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 80

Calls

3 calls:

148.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
14.0ms	(* (- a 0.5) (log t))
7.0ms	(+ (log (+ x y)) (log z))

series425.0ms

Counts

3 → 9

Calls

3 calls:

242.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
75.0ms	(* (- a 0.5) (log t))
108.0ms	(+ (log (+ x y)) (log z))

simplify595.0ms

Counts

89 → 89

Iterations

Iter	Nodes
2	2155
1	605
0	226

prune1.2s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize52.0ms

Local error

Found 4 expressions with local error:

0.5b	(+ (log (+ x y)) (log z))
0.6b	(cbrt t)
0.6b	(cbrt t)
0.6b	(cbrt t)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

15×	`*-un-lft-identity`
9×	`cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt`
8×	`pow1`
7×	`log-prod`
5×	`distribute-lft-out`
4×	`associate-+l+` `add-cbrt-cube` `add-exp-log` `log-pow` `add-log-exp`
3×	`associate-+r+` `pow1/3`
2×	`log-div` `flip3-+` `associate-+l-` `flip-+`
1×	`+-commutative` `sum-log`

Counts

4 → 57

Calls

4 calls:

13.0ms	(+ (log (+ x y)) (log z))
1.0ms	(cbrt t)
1.0ms	(cbrt t)
1.0ms	(cbrt t)

series941.0ms

Counts

4 → 12

Calls

4 calls:

92.0ms	(+ (log (+ x y)) (log z))
263.0ms	(cbrt t)
293.0ms	(cbrt t)
292.0ms	(cbrt t)

simplify2.9s

Counts

69 → 69

Iterations

Iter	Nodes
4	3128
3	1243
2	474
1	189
0	92

prune1.3s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize73.0ms

Local error

Found 4 expressions with local error:

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

rewrite240.0ms

Algorithm

rewrite-expression-head

Rules

43×	`log-prod`
32×	`*-un-lft-identity`
30×	`add-sqr-sqrt`
22×	`add-cube-cbrt`
18×	`distribute-rgt-in` `distribute-lft-in` `sqrt-prod`
16×	`pow1`
15×	`associate-+r+`
12×	`associate-r`
11×	`add-log-exp`
10×	`associate-l` `log-pow`
8×	`add-cbrt-cube` `associate-*l/` `add-exp-log`
7×	`associate-+l+`
6×	`flip3--` `flip--`
5×	`sum-log` `distribute-lft-out`
4×	`frac-add`
3×	`flip3-+` `associate-+l-` `flip-+`
2×	`+-commutative` `log-div` `sqrt-pow1` `pow1/2` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
1×	`sub-neg` `associate--l+`

Counts

4 → 131

Calls

4 calls:

159.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log (sqrt t))))
30.0ms	(* (- a 0.5) (log (sqrt t)))
31.0ms	(* (- a 0.5) (log (sqrt t)))
15.0ms	(+ (log (+ x y)) (log z))

series601.0ms

Counts

4 → 12

Calls

4 calls:

343.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log (sqrt t))))
75.0ms	(* (- a 0.5) (log (sqrt t)))
83.0ms	(* (- a 0.5) (log (sqrt t)))
100.0ms	(+ (log (+ x y)) (log z))

simplify832.0ms

Counts

143 → 143

Iterations

Iter	Nodes
2	2186
1	636
0	242

prune2.4s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize77.0ms

Local error

Found 4 expressions with local error:

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

rewrite166.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 131

Calls

4 calls:

29.0ms	(+ (- (log z) t) (* (- a 0.5) (log (sqrt t))))
75.0ms	(+ (log (+ x y)) (+ (- (log z) t) (* (- a 0.5) (log (sqrt t)))))
27.0ms	(* (- a 0.5) (log (sqrt t)))
31.0ms	(* (- a 0.5) (log (sqrt t)))

series783.0ms

Counts

4 → 12

Calls

4 calls:

232.0ms	(+ (- (log z) t) (* (- a 0.5) (log (sqrt t))))
375.0ms	(+ (log (+ x y)) (+ (- (log z) t) (* (- a 0.5) (log (sqrt t)))))
71.0ms	(* (- a 0.5) (log (sqrt t)))
105.0ms	(* (- a 0.5) (log (sqrt t)))

simplify697.0ms

Counts

143 → 143

Iterations

Iter	Nodes
2	2120
1	631
0	229

prune2.7s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

regimes1.1s

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify7.0ms

Iterations

Iter	Nodes
2	29
1	29
0	22

end0.0ms

sample14.8s

Algorithm

intervals

Results

10.0s	56885×	body	80	nan
1.4s	8044×	body	80	valid