Details

sample238.0ms

Algorithm

intervals

Results

106.0ms	916×	body	80	nan
20.0ms	183×	body	80	valid
12.0ms	26×	body	640	valid
10.0ms	10×	body	1280	valid
9.0ms	29×	body	320	valid
1.0ms	8×	body	160	valid

simplify2.1s

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.6b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- z 1.0) (log (- 1.0 y)))
0.1b	(* (- x 1.0) (log y))
4.3b	(log (- 1.0 y))

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 78

Calls

3 calls:

32.0ms	(* (- z 1.0) (log (- 1.0 y)))
46.0ms	(* (- x 1.0) (log y))
5.0ms	(log (- 1.0 y))

series205.0ms

Counts

3 → 9

Calls

3 calls:

50.0ms	(* (- z 1.0) (log (- 1.0 y)))
87.0ms	(* (- x 1.0) (log y))
68.0ms	(log (- 1.0 y))

simplify608.0ms

Counts: 87 → 87

prune414.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize36.0ms

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

rewrite294.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 196

Calls

4 calls:

94.0ms	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) t)
60.0ms	(* 1/2 (/ (pow y 2) (pow 1.0 2)))
105.0ms	(* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
26.0ms	(* (- x 1.0) (log y))

series548.0ms

Counts

4 → 12

Calls

4 calls:

346.0ms	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) t)
62.0ms	(* 1/2 (/ (pow y 2) (pow 1.0 2)))
78.0ms	(* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
62.0ms	(* (- x 1.0) (log y))

simplify1.7s

Counts: 208 → 208

prune1.2s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 1/2 (/ (pow y 2) (pow 1.0 2)))
0.1b	(* (- z 1.0) (+ (sqrt (log 1.0)) (sqrt (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
0.1b	(* (- x 1.0) (log y))
0.5b	(* (* (- z 1.0) (+ (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)))))))

rewrite496.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 227

Calls

4 calls:

44.0ms	(* 1/2 (/ (pow y 2) (pow 1.0 2)))
143.0ms	(* (- z 1.0) (+ (sqrt (log 1.0)) (sqrt (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
24.0ms	(* (- x 1.0) (log y))
258.0ms	(* (* (- z 1.0) (+ (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)))))))

series831.0ms

Counts

4 → 12

Calls

4 calls:

106.0ms	(* 1/2 (/ (pow y 2) (pow 1.0 2)))
233.0ms	(* (- z 1.0) (+ (sqrt (log 1.0)) (sqrt (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
88.0ms	(* (- x 1.0) (log y))
404.0ms	(* (* (- z 1.0) (+ (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)))))))

simplify684.0ms

Counts: 239 → 239

prune1.8s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize54.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (- x 1.0) (log (cbrt y)))
0.3b	(+ (* (- x 1.0) (* 2 (log (cbrt y)))) (* (- x 1.0) (log (cbrt y))))
0.7b	(cbrt y)
0.7b	(cbrt y)

rewrite122.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 110

Calls

4 calls:

52.0ms	(* (- x 1.0) (log (cbrt y)))
58.0ms	(+ (* (- x 1.0) (* 2 (log (cbrt y)))) (* (- x 1.0) (log (cbrt y))))
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series970.0ms

Counts

4 → 12

Calls

4 calls:

199.0ms	(* (- x 1.0) (log (cbrt y)))
251.0ms	(+ (* (- x 1.0) (* 2 (log (cbrt y)))) (* (- x 1.0) (log (cbrt y))))
258.0ms	(cbrt y)
262.0ms	(cbrt y)

simplify1.1s

Counts: 122 → 122

prune914.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes322.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify933.0ms

end0.0ms

sample6.6s

Algorithm

intervals

Results

3.2s	24206×	body	80	nan
688.0ms	5894×	body	80	valid
424.0ms	745×	body	640	valid
274.0ms	276×	body	1280	valid
203.0ms	716×	body	320	valid
77.0ms	409×	body	160	valid