Details

sample264.0ms

Algorithm

intervals

Results

106.0ms	792×	body	80	nan
26.0ms	190×	body	80	valid
20.0ms	29×	body	640	valid
8.0ms	19×	body	320	valid
7.0ms	4×	body	1280	valid
4.0ms	15×	body	160	valid

simplify3.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
6	4312
5	1312
4	339
3	117
2	49
1	26
0	14

prune20.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.4b

localize48.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y))))
0.0b	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
0.2b	(* (- x 1.0) (log y))
5.3b	(log (- 1.0 y))

rewrite191.0ms

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`
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 → 92

Calls

4 calls:

39.0ms	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y))))
105.0ms	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
36.0ms	(* (- x 1.0) (log y))
7.0ms	(log (- 1.0 y))

series550.0ms

Counts

4 → 12

Calls

4 calls:

192.0ms	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y))))
214.0ms	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
83.0ms	(* (- x 1.0) (log y))
61.0ms	(log (- 1.0 y))

simplify1.4s

Counts

104 → 104

Iterations

Iter	Nodes
done	5002
2	2765
1	643
0	251

prune806.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.1b

localize41.0ms

Local error

Found 4 expressions with local error:

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

rewrite360.0ms

Algorithm

rewrite-expression-head

Rules

91×	`flip3--` `flip--`
78×	`associate-*l/`
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+`
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 → 188

Calls

4 calls:

134.0ms	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (- (log 1.0) (* 1.0 y)) (* (/ 1/2 1.0) (/ (* y y) 1.0))))) t)
120.0ms	(* (- z 1.0) (- (- (log 1.0) (* 1.0 y)) (* (/ 1/2 1.0) (/ (* y y) 1.0))))
46.0ms	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (- (log 1.0) (* 1.0 y)) (* (/ 1/2 1.0) (/ (* y y) 1.0)))))
36.0ms	(* (- x 1.0) (log y))

series678.0ms

Counts

4 → 12

Calls

4 calls:

312.0ms	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (- (log 1.0) (* 1.0 y)) (* (/ 1/2 1.0) (/ (* y y) 1.0))))) t)
70.0ms	(* (- z 1.0) (- (- (log 1.0) (* 1.0 y)) (* (/ 1/2 1.0) (/ (* y y) 1.0))))
220.0ms	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (- (log 1.0) (* 1.0 y)) (* (/ 1/2 1.0) (/ (* y y) 1.0)))))
75.0ms	(* (- x 1.0) (log y))

simplify750.0ms

Counts

200 → 200

Iterations

Iter	Nodes
done	5002
1	1490
0	505

prune2.2s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.1b

localize60.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt y) (cbrt y))
0.7b	(cbrt y)
0.7b	(cbrt y)
0.7b	(cbrt y)

rewrite14.0ms

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` `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 → 73

Calls

4 calls:

9.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series1.2s

Counts

4 → 12

Calls

4 calls:

281.0ms	(* (cbrt y) (cbrt y))
266.0ms	(cbrt y)
311.0ms	(cbrt y)
317.0ms	(cbrt y)

simplify1.3s

Counts

85 → 85

Iterations

Iter	Nodes
done	5000
2	727
1	138
0	61

prune848.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.1b

localize77.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (- x 1.0))
0.3b	(cbrt (- x 1.0))
0.3b	(cbrt (- x 1.0))
0.3b	(* (cbrt (- x 1.0)) (cbrt (- x 1.0)))

rewrite93.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod`
37×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
10×	`swap-sqr`
9×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--`
8×	`associate-r` `associate-l`
7×	`difference-of-squares`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 101

Calls

4 calls:

6.0ms	(cbrt (- x 1.0))
6.0ms	(cbrt (- x 1.0))
6.0ms	(cbrt (- x 1.0))
68.0ms	(* (cbrt (- x 1.0)) (cbrt (- x 1.0)))

series627.0ms

Counts

4 → 12

Calls

4 calls:

135.0ms	(cbrt (- x 1.0))
146.0ms	(cbrt (- x 1.0))
165.0ms	(cbrt (- x 1.0))
181.0ms	(* (cbrt (- x 1.0)) (cbrt (- x 1.0)))

simplify878.0ms

Counts

113 → 113

Iterations

Iter	Nodes
done	5000
2	1473
1	394
0	167

prune932.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.1b

regimes779.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	33
1	33
0	26

end0.0ms

sample7.6s

Algorithm

intervals

Results

3.6s	23933×	body	80	nan
1.1s	5892×	body	80	valid
459.0ms	738×	body	640	valid
311.0ms	697×	body	320	valid
241.0ms	248×	body	1280	valid
91.0ms	453×	body	160	valid