Details

sample193.0ms

Algorithm

intervals

Results

78.0ms	796×	body	80	nan
17.0ms	185×	body	80	valid
13.0ms	13×	body	1280	valid
10.0ms	21×	body	640	valid
5.0ms	18×	body	320	valid
4.0ms	20×	body	160	valid

simplify2.4s

Counts: 1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.1b

localize30.0ms

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))))
0.1b	(* (- x 1.0) (log y))
5.9b	(log (- 1.0 y))

rewrite171.0ms

Algorithm

rewrite-expression-head

Rules

37×	`log-prod`
35×	`add-sqr-sqrt`
31×	`*-un-lft-identity`
17×	`add-cube-cbrt`
16×	`distribute-rgt-in` `distribute-lft-in`
12×	`associate-*l/`
11×	`pow1`
10×	`associate-+r+` `associate-l`
9×	`add-exp-log`
8×	`associate-r` `add-cbrt-cube`
7×	`flip3--` `flip--` `distribute-lft-out--` `difference-of-squares`
6×	`associate-+l+` `add-log-exp`
4×	`frac-add`
3×	`log-pow`
2×	`log-div` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `flip3-+` `rem-log-exp` `sum-log` `flip-+`

Counts

4 → 109

Calls

4 calls:

46.0ms	(* (- z 1.0) (log (- 1.0 y)))
30.0ms	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y))))
48.0ms	(* (- x 1.0) (log y))
43.0ms	(log (- 1.0 y))

series392.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(* (- z 1.0) (log (- 1.0 y)))
208.0ms	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y))))
84.0ms	(* (- x 1.0) (log y))
51.0ms	(log (- 1.0 y))

simplify1.0s

Counts: 121 → 121

prune621.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

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

rewrite190.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 223

Calls

4 calls:

41.0ms	(* 1/2 (/ (pow y 2) (pow 1.0 2)))
81.0ms	(* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
34.0ms	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
23.0ms	(* (- x 1.0) (log y))

series374.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(* 1/2 (/ (pow y 2) (pow 1.0 2)))
73.0ms	(* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
175.0ms	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
61.0ms	(* (- x 1.0) (log y))

simplify561.0ms

Counts: 235 → 235

prune1.4s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize55.0ms

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)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
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:

11.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series1.0s

Counts

4 → 12

Calls

4 calls:

272.0ms	(* (cbrt y) (cbrt y))
259.0ms	(cbrt y)
231.0ms	(cbrt y)
250.0ms	(cbrt y)

simplify751.0ms

Counts: 85 → 85

prune526.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize68.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (pow (/ 1 y) -1/3) (cbrt y))
0.6b	(cbrt y)
0.6b	(cbrt y)
5.1b	(pow (/ 1 y) -1/3)

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-sqr-sqrt`
32×	`unpow-prod-down`
26×	`*-un-lft-identity`
24×	`add-cube-cbrt`
22×	`times-frac`
21×	`add-exp-log`
17×	`associate-l`
14×	`cbrt-prod`
10×	`unswap-sqr`
8×	`pow-exp`
6×	`pow1` `associate-r` `prod-exp`
5×	`add-cbrt-cube`
4×	`div-exp` `add-log-exp` `sqr-pow`
3×	`pow-unpow` `pow-pow`
2×	`pow-to-exp` `rec-exp` `pow1/3` `1-exp` `div-inv`
1×	`pow-flip` `*-commutative` `cbrt-unprod` `inv-pow`

Counts

4 → 102

Calls

4 calls:

36.0ms	(* (pow (/ 1 y) -1/3) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
7.0ms	(pow (/ 1 y) -1/3)

series1.5s

Counts

4 → 12

Calls

4 calls:

298.0ms	(* (pow (/ 1 y) -1/3) (cbrt y))
260.0ms	(cbrt y)
251.0ms	(cbrt y)
654.0ms	(pow (/ 1 y) -1/3)

simplify1.6s

Counts: 114 → 114

prune977.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes342.0ms

Accuracy

-0.9% (0.4b remaining)

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

bsearch0.0ms

simplify1.8s

end0.0ms

sample6.7s

Algorithm

intervals

Results

2.5s	24105×	body	80	nan
1.4s	5857×	body	80	valid
402.0ms	786×	body	640	valid
231.0ms	270×	body	1280	valid
230.0ms	680×	body	320	valid
184.0ms	439×	body	160	valid