Details

sample200.0ms

Algorithm

intervals

Results

65.0ms	916×	body	80	nan
27.0ms	12×	body	1280	valid
14.0ms	175×	body	80	valid
13.0ms	28×	body	640	valid
8.0ms	29×	body	320	valid
2.0ms	12×	body	160	valid

simplify230.0ms

Counts: 1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.8b

localize27.0ms

Local error

Found 3 expressions with local error:

0.0b	(* z (log (- 1.0 y)))
0.3b	(* x (log y))
4.3b	(log (- 1.0 y))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt`
21×	`log-prod`
18×	`*-un-lft-identity`
12×	`add-cube-cbrt`
10×	`pow1`
8×	`add-exp-log` `distribute-rgt-in` `distribute-lft-in` `associate-r`
7×	`add-cbrt-cube`
6×	`associate-l`
3×	`log-pow` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
2×	`log-div` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`flip3--` `rem-log-exp` `flip--`

Counts

3 → 70

Calls

3 calls:

35.0ms	(* z (log (- 1.0 y)))
17.0ms	(* x (log y))
10.0ms	(log (- 1.0 y))

series197.0ms

Counts

3 → 9

Calls

3 calls:

86.0ms	(* z (log (- 1.0 y)))
53.0ms	(* x (log y))
58.0ms	(log (- 1.0 y))

simplify1.6s

Counts: 79 → 79

prune301.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 1/2 (/ (pow y 2) (pow 1.0 2)))
0.0b	(- (+ (* x (log y)) (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) t)
0.0b	(* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
0.3b	(* x (log y))

rewrite261.0ms

Algorithm

rewrite-expression-head

Rules

88×	`add-sqr-sqrt`
80×	`times-frac`
78×	`associate-r`
56×	`unpow-prod-down`
51×	`*-un-lft-identity`
46×	`add-cube-cbrt`
31×	`add-exp-log`
24×	`unpow2` `sqr-pow`
19×	`unswap-sqr`
13×	`add-cbrt-cube`
12×	`pow1` `log-prod` `prod-exp`
9×	`div-exp` `associate-l` `add-log-exp`
8×	`distribute-rgt-in` `distribute-lft-in`
7×	`associate--l+`
6×	`pow-to-exp` `pow-exp`
4×	`cbrt-unprod`
3×	`sub-neg` `associate-r/` `pow-prod-down` `-commutative` `distribute-lft-out--`
2×	`flip3--` `diff-log` `log-pow` `flip--` `difference-of-squares`
1×	`cbrt-undiv` `sum-log` `div-inv`

Counts

4 → 184

Calls

4 calls:

42.0ms	(* 1/2 (/ (pow y 2) (pow 1.0 2)))
82.0ms	(- (+ (* x (log y)) (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) t)
100.0ms	(* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
20.0ms	(* x (log y))

series542.0ms

Counts

4 → 12

Calls

4 calls:

93.0ms	(* 1/2 (/ (pow y 2) (pow 1.0 2)))
229.0ms	(- (+ (* x (log y)) (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) t)
147.0ms	(* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
73.0ms	(* x (log y))

simplify1.4s

Counts: 196 → 196

prune942.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 1/2 (/ (pow y 2) (pow 1.0 2)))
0.2b	(* z (+ (sqrt (log 1.0)) (sqrt (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
0.3b	(* x (log y))
0.3b	(* (* z (+ (sqrt (log 1.0)) (sqrt (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) (- (sqrt (log 1.0)) (sqrt (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))

rewrite366.0ms

Algorithm

rewrite-expression-head

Rules

91×	`add-sqr-sqrt`
88×	`associate-r`
80×	`times-frac`
56×	`unpow-prod-down`
55×	`*-un-lft-identity`
45×	`add-cube-cbrt`
36×	`add-exp-log`
24×	`unpow2` `sqr-pow`
19×	`unswap-sqr`
18×	`pow1` `add-cbrt-cube`
15×	`prod-exp`
12×	`sqrt-prod`
11×	`associate-*r/`
10×	`associate-l`
9×	`div-exp`
7×	`cbrt-unprod`
6×	`distribute-rgt-in` `pow-to-exp` `log-prod` `distribute-lft-in` `pow-prod-down` `pow-exp`
4×	`frac-times` `flip3-+` `*-commutative` `flip-+` `add-log-exp` `difference-of-squares`
3×	`flip3--` `log-pow` `flip--` `distribute-lft-out` `distribute-lft-out--`
2×	`sub-neg` `associate-*l/`
1×	`cbrt-undiv` `div-inv`

Counts

4 → 197

Calls

4 calls:

52.0ms	(* 1/2 (/ (pow y 2) (pow 1.0 2)))
89.0ms	(* z (+ (sqrt (log 1.0)) (sqrt (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
9.0ms	(* x (log y))
206.0ms	(* (* z (+ (sqrt (log 1.0)) (sqrt (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) (- (sqrt (log 1.0)) (sqrt (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))

series1.1s

Counts

4 → 12

Calls

4 calls:

68.0ms	(* 1/2 (/ (pow y 2) (pow 1.0 2)))
328.0ms	(* z (+ (sqrt (log 1.0)) (sqrt (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
46.0ms	(* x (log y))
685.0ms	(* (* z (+ (sqrt (log 1.0)) (sqrt (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) (- (sqrt (log 1.0)) (sqrt (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))

simplify519.0ms

Counts: 209 → 209

prune1.3s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.3b	(* x (log (cbrt y)))
0.3b	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
0.7b	(cbrt y)
0.7b	(cbrt y)

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

48×	`log-prod`
36×	`distribute-rgt-in` `distribute-lft-in`
30×	`cbrt-prod`
26×	`add-sqr-sqrt`
24×	`add-cube-cbrt` `associate-+l+` `*-un-lft-identity`
12×	`associate-+r+`
7×	`pow1`
6×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
5×	`associate-r`
3×	`pow1/3` `associate-l`
2×	`log-pow`
1×	`+-commutative` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

4 → 102

Calls

4 calls:

17.0ms	(* x (log (cbrt y)))
49.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series679.0ms

Counts

4 → 12

Calls

4 calls:

109.0ms	(* x (log (cbrt y)))
114.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
224.0ms	(cbrt y)
231.0ms	(cbrt y)

simplify730.0ms

Counts: 114 → 114

prune698.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes189.0ms

Accuracy

-8.3% (0.3b remaining)

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

bsearch0.0ms

simplify866.0ms

end0.0ms

sample6.3s

Algorithm

intervals

Results

2.9s	24206×	body	80	nan
484.0ms	5577×	body	80	valid
397.0ms	849×	body	640	valid
334.0ms	409×	body	1280	valid
222.0ms	761×	body	320	valid
105.0ms	444×	body	160	valid