Details

sample210.0ms

Algorithm

intervals

Results

102.0ms	781×	body	80	nan
20.0ms	186×	body	80	valid
12.0ms	9×	body	1280	valid
10.0ms	19×	body	640	valid
8.0ms	22×	body	320	valid
5.0ms	20×	body	160	valid

simplify4.0s

Counts

1 → 1

Iterations

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.6b

localize31.0ms

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))))
0.1b	(* (- x 1.0) (log y))
6.3b	(log (- 1.0 y))

rewrite183.0ms

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:

87.0ms	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
53.0ms	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y))))
35.0ms	(* (- x 1.0) (log y))
5.0ms	(log (- 1.0 y))

series549.0ms

Counts

4 → 12

Calls

4 calls:

257.0ms	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
168.0ms	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y))))
76.0ms	(* (- x 1.0) (log y))
48.0ms	(log (- 1.0 y))

simplify2.0s

Counts

108 → 108

Iterations

Iter	Nodes
done	5006
2	2030
1	647
0	255

prune653.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.2b

localize42.0ms

Local error

Found 4 expressions with local error:

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

rewrite344.0ms

Algorithm

rewrite-expression-head

Rules

136×	`associate-*l/`
90×	`flip3--` `flip--`
67×	`frac-times`
54×	`frac-sub`
52×	`frac-add`
43×	`associate-*r/`
32×	`associate--l+`
26×	`add-sqr-sqrt` `add-cbrt-cube` `add-exp-log`
24×	`log-prod`
21×	`*-un-lft-identity`
20×	`distribute-rgt-in` `distribute-lft-in`
17×	`add-cube-cbrt`
14×	`pow1` `associate-+r+`
11×	`associate-l` `prod-exp` `cbrt-unprod`
10×	`associate-r`
8×	`sub-neg`
6×	`associate-+l+` `add-log-exp`
5×	`pow-prod-down`
4×	`cbrt-undiv` `div-exp` `insert-posit16`
3×	`*-commutative` `unswap-sqr`
2×	`distribute-lft-out--` `difference-of-squares`
1×	`+-commutative` `sum-log` `flip3-+` `log-pow` `flip-+`

Counts

4 → 204

Calls

4 calls:

54.0ms	(* (* (/ y 1.0) (/ y 1.0)) 1/2)
69.0ms	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (- (log 1.0) (* 1.0 y)) (* (* (/ y 1.0) (/ y 1.0)) 1/2))))
156.0ms	(* (- z 1.0) (- (- (log 1.0) (* 1.0 y)) (* (* (/ y 1.0) (/ y 1.0)) 1/2)))
49.0ms	(* (- x 1.0) (log y))

series339.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(* (* (/ y 1.0) (/ y 1.0)) 1/2)
165.0ms	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (- (log 1.0) (* 1.0 y)) (* (* (/ y 1.0) (/ y 1.0)) 1/2))))
73.0ms	(* (- z 1.0) (- (- (log 1.0) (* 1.0 y)) (* (* (/ y 1.0) (/ y 1.0)) 1/2)))
72.0ms	(* (- x 1.0) (log y))

simplify2.5s

Counts

216 → 216

Iterations

Iter	Nodes
done	5001
1	1569
0	529

prune1.5s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize56.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (log (sqrt y)) (- x 1.0)) (* (- 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)))
0.1b	(* (log (sqrt y)) (- x 1.0))
0.1b	(* (log (sqrt y)) (- x 1.0))

rewrite253.0ms

Algorithm

rewrite-expression-head

Rules

98×	`associate-*r/`
91×	`flip3--` `flip--`
78×	`associate-*l/`
66×	`frac-times`
54×	`frac-sub`
52×	`frac-add`
32×	`associate--l+`
26×	`add-sqr-sqrt`
20×	`distribute-rgt-in` `*-un-lft-identity` `distribute-lft-in`
17×	`associate-l`
14×	`pow1` `associate-+r+` `sub-neg` `add-cube-cbrt`
13×	`associate-r`
12×	`log-prod`
10×	`add-cbrt-cube` `add-exp-log`
6×	`log-pow` `add-log-exp`
4×	`associate-+l+` `insert-posit16`
3×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
2×	`sqrt-pow1` `pow1/2`
1×	`+-commutative` `sum-log` `flip3-+` `flip-+`

Counts

4 → 203

Calls

4 calls:

59.0ms	(+ (* (log (sqrt y)) (- x 1.0)) (* (- z 1.0) (- (- (log 1.0) (* 1.0 y)) (* (* (/ y 1.0) (/ y 1.0)) 1/2))))
138.0ms	(* (- z 1.0) (- (- (log 1.0) (* 1.0 y)) (* (* (/ y 1.0) (/ y 1.0)) 1/2)))
22.0ms	(* (log (sqrt y)) (- x 1.0))
23.0ms	(* (log (sqrt y)) (- x 1.0))

series468.0ms

Counts

4 → 12

Calls

4 calls:

250.0ms	(+ (* (log (sqrt y)) (- x 1.0)) (* (- z 1.0) (- (- (log 1.0) (* 1.0 y)) (* (* (/ y 1.0) (/ y 1.0)) 1/2))))
72.0ms	(* (- z 1.0) (- (- (log 1.0) (* 1.0 y)) (* (* (/ y 1.0) (/ y 1.0)) 1/2)))
73.0ms	(* (log (sqrt y)) (- x 1.0))
73.0ms	(* (log (sqrt y)) (- x 1.0))

simplify1.9s

Counts

215 → 215

Iterations

Iter	Nodes
done	5001
1	1433
0	470

prune2.0s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize60.0ms

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)

rewrite29.0ms

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:

22.0ms	(* (cbrt y) (cbrt y))
2.0ms	(cbrt y)
1.0ms	(cbrt y)
2.0ms	(cbrt y)

series1.0s

Counts

4 → 12

Calls

4 calls:

291.0ms	(* (cbrt y) (cbrt y))
292.0ms	(cbrt y)
221.0ms	(cbrt y)
218.0ms	(cbrt y)

simplify3.1s

Counts

89 → 89

Iterations

Iter	Nodes
done	5001
4	3895
3	1039
2	380
1	138
0	63

prune754.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.1b

regimes674.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Iter	Nodes
done	32
1	32
0	25

end0.0ms

sample6.8s

Algorithm

intervals

Results

3.4s	24053×	body	80	nan
1.1s	5855×	body	80	valid
552.0ms	825×	body	640	valid
317.0ms	686×	body	320	valid
245.0ms	217×	body	1280	valid
140.0ms	449×	body	160	valid