Details

sample224.0ms

Algorithm

intervals

Results

100.0ms	751×	body	80	nan
18.0ms	185×	body	80	valid
13.0ms	9×	body	1280	valid
9.0ms	28×	body	320	valid
9.0ms	18×	body	640	valid
4.0ms	18×	body	160	valid

simplify180.0ms

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.7b

localize23.0ms

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)
0.1b	(* (- x 1.0) (log y))
6.4b	(log (- 1.0 y))

rewrite200.0ms

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×	`add-exp-log` `flip3--` `flip--`
6×	`associate-+l+` `add-cbrt-cube`
5×	`associate-l` `distribute-lft-out--` `difference-of-squares`
4×	`associate-r` `frac-add`
2×	`log-div` `diff-log` `sum-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:

40.0ms	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y))))
119.0ms	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
33.0ms	(* (- x 1.0) (log y))
6.0ms	(log (- 1.0 y))

series491.0ms

Counts

4 → 12

Calls

4 calls:

158.0ms	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y))))
216.0ms	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
69.0ms	(* (- x 1.0) (log y))
48.0ms	(log (- 1.0 y))

simplify62.0ms

Counts: 104 → 104

prune451.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

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	(+ (* (- 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))

rewrite223.0ms

Algorithm

rewrite-expression-head

Rules

86×	`add-sqr-sqrt`
80×	`times-frac`
72×	`associate-r`
56×	`unpow-prod-down`
50×	`*-un-lft-identity`
46×	`add-cube-cbrt`
29×	`add-exp-log`
24×	`unpow2` `sqr-pow`
22×	`flip3--` `associate-*l/` `flip--`
18×	`log-prod` `unswap-sqr`
16×	`frac-add`
11×	`distribute-rgt-in` `distribute-lft-in` `prod-exp` `add-cbrt-cube` `add-log-exp`
10×	`associate-+r+`
9×	`pow1` `div-exp`
8×	`frac-times` `associate-l`
7×	`associate--l+`
6×	`pow-to-exp` `associate-+l+` `pow-exp`
5×	`associate-*r/`
3×	`sub-neg` `cbrt-unprod`
2×	`diff-log` `pow-prod-down` `sum-log` `*-commutative` `distribute-lft-out--` `difference-of-squares`
1×	`cbrt-undiv` `+-commutative` `flip3-+` `log-pow` `flip-+` `div-inv`

Counts

4 → 198

Calls

4 calls:

90.0ms	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) t)
61.0ms	(* 1/2 (/ (pow y 2) (pow 1.0 2)))
37.0ms	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
24.0ms	(* (- x 1.0) (log y))

series608.0ms

Counts

4 → 12

Calls

4 calls:

316.0ms	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) t)
63.0ms	(* 1/2 (/ (pow y 2) (pow 1.0 2)))
164.0ms	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
65.0ms	(* (- x 1.0) (log y))

simplify43.0ms

Counts: 210 → 210

prune1.3s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (cbrt y) (cbrt y))
0.7b	(cbrt y)
0.7b	(cbrt y)
0.7b	(cbrt y)

rewrite27.0ms

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:

21.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
2.0ms	(cbrt y)

series1.1s

Counts

4 → 12

Calls

4 calls:

275.0ms	(* (cbrt y) (cbrt y))
273.0ms	(cbrt y)
270.0ms	(cbrt y)
265.0ms	(cbrt y)

simplify53.0ms

Counts: 85 → 85

prune672.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (* (- x 1.0) (log y))) (cbrt (* (- x 1.0) (log y))))
0.6b	(cbrt (* (- x 1.0) (log y)))
0.6b	(cbrt (* (- x 1.0) (log y)))
0.6b	(cbrt (* (- x 1.0) (log y)))

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

41.0ms	(* (cbrt (* (- x 1.0) (log y))) (cbrt (* (- x 1.0) (log y))))
14.0ms	(cbrt (* (- x 1.0) (log y)))
14.0ms	(cbrt (* (- x 1.0) (log y)))
12.0ms	(cbrt (* (- x 1.0) (log y)))

series604.0ms

Counts

4 → 12

Calls

4 calls:

169.0ms	(* (cbrt (* (- x 1.0) (log y))) (cbrt (* (- x 1.0) (log y))))
147.0ms	(cbrt (* (- x 1.0) (log y)))
145.0ms	(cbrt (* (- x 1.0) (log y)))
143.0ms	(cbrt (* (- x 1.0) (log y)))

simplify73.0ms

Counts: 84 → 84

prune580.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes303.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify37.0ms

end0.0ms

sample6.7s

Algorithm

intervals

Results

3.3s	24233×	body	80	nan
633.0ms	5857×	body	80	valid
354.0ms	753×	body	640	valid
289.0ms	269×	body	1280	valid
249.0ms	727×	body	320	valid
81.0ms	431×	body	160	valid