Details

sample245.0ms

Algorithm

intervals

Results

123.0ms	846×	body	80	nan
23.0ms	195×	body	80	valid
9.0ms	23×	body	320	valid
9.0ms	18×	body	640	valid
6.0ms	5×	body	1280	valid
4.0ms	16×	body	160	valid

simplify7.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
7	2731
6	1183
5	592
4	287
3	116
2	49
1	26
0	14

prune26.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.0b

localize160.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
0.0b	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y))))
0.2b	(* (- x 1.0) (log y))
5.0b	(log (- 1.0 y))

rewrite491.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 96

Calls

4 calls:

264.0ms	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
116.0ms	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y))))
77.0ms	(* (- x 1.0) (log y))
19.0ms	(log (- 1.0 y))

series852.0ms

Counts

4 → 12

Calls

4 calls:

376.0ms	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
287.0ms	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y))))
96.0ms	(* (- x 1.0) (log y))
92.0ms	(log (- 1.0 y))

simplify4.3s

Counts

108 → 108

Iterations

Iter	Nodes
done	5001
2	2028
1	647
0	255

prune1.9s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.1b

localize179.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (- (log 1.0) (* 1.0 y)) (* (* (/ y 1.0) (/ y 1.0)) 1/2)))) t)
0.0b	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (- (log 1.0) (* 1.0 y)) (* (* (/ y 1.0) (/ y 1.0)) 1/2))))
0.0b	(* (- z 1.0) (- (- (log 1.0) (* 1.0 y)) (* (* (/ y 1.0) (/ y 1.0)) 1/2)))
0.2b	(* (- x 1.0) (log y))

rewrite1.1s

Algorithm

rewrite-expression-head

Rules

132×	`associate-*l/`
91×	`flip3--` `flip--`
66×	`frac-times`
54×	`frac-sub`
52×	`frac-add`
42×	`associate-*r/`
33×	`associate--l+`
26×	`add-sqr-sqrt`
24×	`log-prod`
22×	`*-un-lft-identity`
20×	`distribute-rgt-in` `distribute-lft-in`
16×	`add-cube-cbrt`
14×	`associate-+r+`
11×	`add-log-exp`
10×	`associate-l`
9×	`pow1` `sub-neg`
8×	`add-cbrt-cube` `add-exp-log`
7×	`associate-r`
6×	`associate-+l+`
4×	`insert-posit16`
3×	`distribute-lft-out--` `difference-of-squares`
2×	`sum-log` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `flip3-+` `log-pow` `flip-+`

Counts

4 → 192

Calls

4 calls:

423.0ms	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (- (log 1.0) (* 1.0 y)) (* (* (/ y 1.0) (/ y 1.0)) 1/2)))) t)
152.0ms	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (- (log 1.0) (* 1.0 y)) (* (* (/ y 1.0) (/ y 1.0)) 1/2))))
352.0ms	(* (- z 1.0) (- (- (log 1.0) (* 1.0 y)) (* (* (/ y 1.0) (/ y 1.0)) 1/2)))
62.0ms	(* (- x 1.0) (log y))

series969.0ms

Counts

4 → 12

Calls

4 calls:

461.0ms	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (- (log 1.0) (* 1.0 y)) (* (* (/ y 1.0) (/ y 1.0)) 1/2)))) t)
254.0ms	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (- (log 1.0) (* 1.0 y)) (* (* (/ y 1.0) (/ y 1.0)) 1/2))))
106.0ms	(* (- z 1.0) (- (- (log 1.0) (* 1.0 y)) (* (* (/ y 1.0) (/ y 1.0)) 1/2)))
148.0ms	(* (- x 1.0) (log y))

simplify4.2s

Counts

204 → 204

Iterations

Iter	Nodes
done	5002
1	1475
0	511

prune3.5s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize246.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt y) (cbrt y))
0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`add-cbrt-cube` `insert-posit16` `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 → 77

Calls

4 calls:

48.0ms	(* (cbrt y) (cbrt y))
2.0ms	(cbrt y)
2.0ms	(cbrt y)
3.0ms	(cbrt y)

series1.3s

Counts

4 → 12

Calls

4 calls:

383.0ms	(* (cbrt y) (cbrt y))
310.0ms	(cbrt y)
323.0ms	(cbrt y)
331.0ms	(cbrt y)

simplify8.4s

Counts

89 → 89

Iterations

Iter	Nodes
done	5015
4	3770
3	1044
2	353
1	137
0	63

prune2.0s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize441.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.7b	(cbrt (cbrt y))
0.7b	(cbrt (cbrt y))
0.7b	(cbrt (cbrt y))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

30×	`cbrt-prod`
11×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `insert-posit16` `add-log-exp`

Counts

4 → 57

Calls

4 calls:

5.0ms	(cbrt y)
7.0ms	(cbrt (cbrt y))
7.0ms	(cbrt (cbrt y))
5.0ms	(cbrt (cbrt y))

series1.6s

Counts

4 → 12

Calls

4 calls:

326.0ms	(cbrt y)
388.0ms	(cbrt (cbrt y))
418.0ms	(cbrt (cbrt y))
475.0ms	(cbrt (cbrt y))

simplify5.7s

Counts

69 → 69

Iterations

Iter	Nodes
done	5009
5	3328
4	877
3	342
2	172
1	79
0	44

prune1.4s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.1b

regimes2.0s

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify15.0ms

Iterations

Iter	Nodes
done	36
1	36
0	28

end0.0ms

sample8.1s

Algorithm

intervals

Results

3.8s	24709×	body	80	nan
1.2s	5926×	body	80	valid
527.0ms	774×	body	640	valid
347.0ms	668×	body	320	valid
337.0ms	267×	body	1280	valid
110.0ms	412×	body	160	valid