Details

sample198.0ms

Algorithm

intervals

Results

90.0ms	764×	body	80	nan
17.0ms	191×	body	80	valid
9.0ms	29×	body	320	valid
8.0ms	9×	body	1280	valid
6.0ms	14×	body	640	valid
2.0ms	13×	body	160	valid

simplify6.9s

Counts

1 → 1

Iterations

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

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.8b

localize92.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- z 1.0) (log (- 1.0 y)))
0.0b	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
0.1b	(* (- x 1.0) (log y))
5.1b	(log (- 1.0 y))

rewrite358.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 98

Calls

4 calls:

84.0ms	(* (- z 1.0) (log (- 1.0 y)))
181.0ms	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
66.0ms	(* (- x 1.0) (log y))
15.0ms	(log (- 1.0 y))

series567.0ms

Counts

4 → 12

Calls

4 calls:

97.0ms	(* (- z 1.0) (log (- 1.0 y)))
312.0ms	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
97.0ms	(* (- x 1.0) (log y))
62.0ms	(log (- 1.0 y))

simplify3.1s

Counts

110 → 110

Iterations

Iter	Nodes
done	5003
2	1498
1	536
0	235

prune1.8s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize68.0ms

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	(* (- z 1.0) (- (- (log 1.0) (* 1.0 y)) (* (/ y 1.0) (* (/ y 1.0) 1/2))))
0.0b	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (- (log 1.0) (* 1.0 y)) (* (/ y 1.0) (* (/ y 1.0) 1/2)))))
0.1b	(* (- x 1.0) (log y))

rewrite792.0ms

Algorithm

rewrite-expression-head

Rules

114×	`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:

331.0ms	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (- (log 1.0) (* 1.0 y)) (* (/ y 1.0) (* (/ y 1.0) 1/2))))) t)
225.0ms	(* (- z 1.0) (- (- (log 1.0) (* 1.0 y)) (* (/ y 1.0) (* (/ y 1.0) 1/2))))
143.0ms	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (- (log 1.0) (* 1.0 y)) (* (/ y 1.0) (* (/ y 1.0) 1/2)))))
41.0ms	(* (- x 1.0) (log y))

series1000.0ms

Counts

4 → 12

Calls

4 calls:

505.0ms	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (- (log 1.0) (* 1.0 y)) (* (/ y 1.0) (* (/ y 1.0) 1/2))))) t)
106.0ms	(* (- z 1.0) (- (- (log 1.0) (* 1.0 y)) (* (/ y 1.0) (* (/ y 1.0) 1/2))))
271.0ms	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (- (log 1.0) (* 1.0 y)) (* (/ y 1.0) (* (/ y 1.0) 1/2)))))
118.0ms	(* (- x 1.0) (log y))

simplify4.2s

Counts

204 → 204

Iterations

Iter	Nodes
done	5004
1	1493
0	509

prune3.7s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize125.0ms

Local error

Found 4 expressions with local error:

0.3b	(+ (+ (* (log (cbrt y)) (- x 1.0)) (* (log (cbrt y)) (- x 1.0))) (* (log (cbrt y)) (- x 1.0)))
0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite128.0ms

Algorithm

rewrite-expression-head

Rules

28×	`associate-*r/`
20×	`frac-add`
14×	`flip3--` `flip--`
9×	`cbrt-prod` `add-log-exp`
7×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `associate-+r+` `add-cbrt-cube` `add-exp-log` `insert-posit16`
3×	`sum-log` `flip3-+` `pow1/3` `flip-+`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `distribute-lft-out`
1×	`+-commutative` `associate-+l+` `distribute-lft1-in` `count-2`

Counts

4 → 68

Calls

4 calls:

107.0ms	(+ (+ (* (log (cbrt y)) (- x 1.0)) (* (log (cbrt y)) (- x 1.0))) (* (log (cbrt y)) (- x 1.0)))
3.0ms	(cbrt y)
3.0ms	(cbrt y)
3.0ms	(cbrt y)

series1.6s

Counts

4 → 12

Calls

4 calls:

638.0ms	(+ (+ (* (log (cbrt y)) (- x 1.0)) (* (log (cbrt y)) (- x 1.0))) (* (log (cbrt y)) (- x 1.0)))
320.0ms	(cbrt y)
357.0ms	(cbrt y)
333.0ms	(cbrt y)

simplify4.8s

Counts

80 → 80

Iterations

Iter	Nodes
done	5001
2	2725
1	599
0	159

prune1.4s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize125.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- z 1.0) (- (- (log 1.0) (* 1.0 y)) (* (/ y 1.0) (* (/ y 1.0) 1/2))))
0.0b	(+ (* (log (* (cbrt -1) (cbrt (- y)))) (- (* 3 x) 3.0)) (* (- z 1.0) (- (- (log 1.0) (* 1.0 y)) (* (/ y 1.0) (* (/ y 1.0) 1/2)))))
0.3b	(* (log (* (cbrt -1) (cbrt (- y)))) (- (* 3 x) 3.0))
0.6b	(cbrt (- y))

rewrite592.0ms

Algorithm

rewrite-expression-head

Rules

96×	`associate-*r/`
90×	`flip3--` `flip--`
66×	`frac-times`
60×	`associate-*l/`
54×	`frac-sub`
52×	`frac-add`
32×	`associate--l+`
21×	`add-sqr-sqrt`
18×	`distribute-rgt-in` `distribute-lft-in`
17×	`*-un-lft-identity`
15×	`add-cube-cbrt`
14×	`associate-+r+`
12×	`log-prod` `sub-neg`
11×	`pow1` `associate-l`
10×	`cbrt-prod`
8×	`add-cbrt-cube` `add-exp-log`
6×	`associate-r` `add-log-exp`
4×	`associate-+l+` `pow-prod-down` `insert-posit16`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `pow1/3` `log-pow`
2×	`prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `neg-mul-1` `sum-log` `flip3-+` `flip-+` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 190

Calls

4 calls:

247.0ms	(* (- z 1.0) (- (- (log 1.0) (* 1.0 y)) (* (/ y 1.0) (* (/ y 1.0) 1/2))))
209.0ms	(+ (* (log (* (cbrt -1) (cbrt (- y)))) (- (* 3 x) 3.0)) (* (- z 1.0) (- (- (log 1.0) (* 1.0 y)) (* (/ y 1.0) (* (/ y 1.0) 1/2)))))
69.0ms	(* (log (* (cbrt -1) (cbrt (- y)))) (- (* 3 x) 3.0))
4.0ms	(cbrt (- y))

series1.6s

Counts

4 → 12

Calls

4 calls:

119.0ms	(* (- z 1.0) (- (- (log 1.0) (* 1.0 y)) (* (/ y 1.0) (* (/ y 1.0) 1/2))))
590.0ms	(+ (* (log (* (cbrt -1) (cbrt (- y)))) (- (* 3 x) 3.0)) (* (- z 1.0) (- (- (log 1.0) (* 1.0 y)) (* (/ y 1.0) (* (/ y 1.0) 1/2)))))
570.0ms	(* (log (* (cbrt -1) (cbrt (- y)))) (- (* 3 x) 3.0))
349.0ms	(cbrt (- y))

simplify4.5s

Counts

202 → 202

Iterations

Iter	Nodes
done	5002
1	1515
0	506

prune4.0s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

regimes2.1s

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify10.0ms

Iterations

Iter	Nodes
done	30
1	30
0	23

end0.0ms

sample6.7s

Algorithm

intervals

Results

3.3s	24335×	body	80	nan
727.0ms	5966×	body	80	valid
379.0ms	713×	body	640	valid
265.0ms	257×	body	1280	valid
243.0ms	698×	body	320	valid
106.0ms	405×	body	160	valid