Details

sample240.0ms

Algorithm

intervals

Results

115.0ms	849×	body	80	nan
20.0ms	184×	body	80	valid
16.0ms	29×	body	640	valid
13.0ms	11×	body	1280	valid
7.0ms	19×	body	320	valid
3.0ms	14×	body	160	valid

simplify3.1s

Counts

1 → 1

Iterations

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

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.1b

localize44.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
0.1b	(* (- x 1.0) (log y))
4.7b	(log (- 1.0 y))

rewrite140.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
14×	`*-un-lft-identity`
11×	`log-prod`
8×	`add-cube-cbrt` `add-log-exp`
7×	`pow1`
6×	`add-exp-log`
5×	`add-cbrt-cube` `associate-l`
4×	`associate-r`
3×	`distribute-rgt-in` `distribute-lft-in` `flip3--` `flip--` `distribute-lft-out--` `difference-of-squares`
2×	`log-div` `diff-log` `associate-*l/` `log-pow`
1×	`sum-log` `sub-neg` `rem-log-exp` `pow-prod-down` `prod-exp` `associate--l+` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 61

Calls

3 calls:

93.0ms	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
37.0ms	(* (- x 1.0) (log y))
8.0ms	(log (- 1.0 y))

series360.0ms

Counts

3 → 9

Calls

3 calls:

233.0ms	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
75.0ms	(* (- x 1.0) (log y))
51.0ms	(log (- 1.0 y))

simplify1.1s

Counts

70 → 70

Iterations

Iter	Nodes
done	5000
2	1495
1	400
0	179

prune584.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

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

rewrite586.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt` `flip3--` `flip--`
25×	`*-un-lft-identity`
24×	`log-prod` `associate-*l/`
16×	`distribute-rgt-in` `distribute-lft-in` `frac-add` `add-cube-cbrt`
13×	`associate--l+`
12×	`frac-times`
11×	`add-log-exp`
10×	`pow1` `associate-+r+` `associate-r` `associate-l`
8×	`add-cbrt-cube` `add-exp-log`
6×	`associate-+l+` `associate-*r/`
5×	`sub-neg` `distribute-lft-out--`
4×	`difference-of-squares`
2×	`sum-log` `diff-log` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `flip3-+` `flip-+`

Counts

4 → 129

Calls

4 calls:

98.0ms	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* (* (/ y 1.0) (/ y 1.0)) 1/2) (* y 1.0))))) t)
440.0ms	(* (- z 1.0) (- (log 1.0) (+ (* (* (/ y 1.0) (/ y 1.0)) 1/2) (* y 1.0))))
21.0ms	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* (* (/ y 1.0) (/ y 1.0)) 1/2) (* y 1.0)))))
19.0ms	(* (- x 1.0) (log y))

series593.0ms

Counts

4 → 12

Calls

4 calls:

280.0ms	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* (* (/ y 1.0) (/ y 1.0)) 1/2) (* y 1.0))))) t)
63.0ms	(* (- z 1.0) (- (log 1.0) (+ (* (* (/ y 1.0) (/ y 1.0)) 1/2) (* y 1.0))))
149.0ms	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* (* (/ y 1.0) (/ y 1.0)) 1/2) (* y 1.0)))))
101.0ms	(* (- x 1.0) (log y))

simplify2.5s

Counts

141 → 141

Iterations

Iter	Nodes
done	5000
2	4816
1	926
0	320

prune1.2s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize96.0ms

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)

rewrite13.0ms

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)

series1.0s

Counts

4 → 12

Calls

4 calls:

277.0ms	(* (cbrt y) (cbrt y))
264.0ms	(cbrt y)
263.0ms	(cbrt y)
244.0ms	(cbrt y)

simplify1.4s

Counts

85 → 85

Iterations

Iter	Nodes
done	5000
2	727
1	138
0	61

prune974.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize64.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt y) (pow y 1/3))
0.7b	(cbrt y)
0.7b	(cbrt y)
5.2b	(pow y 1/3)

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt`
12×	`cbrt-prod` `*-un-lft-identity` `add-cube-cbrt`
10×	`add-exp-log`
8×	`unpow-prod-down`
7×	`associate-r`
6×	`associate-l` `unswap-sqr`
5×	`pow1` `add-cbrt-cube` `pow1/3`
4×	`add-log-exp` `sqr-pow`
3×	`pow-unpow` `prod-exp`
2×	`pow-to-exp` `unpow1/3` `pow-exp` `cbrt-unprod`
1×	`pow-pow` `pow-prod-down` `pow-sqr` `*-commutative` `pow-prod-up`

Counts

4 → 75

Calls

4 calls:

12.0ms	(* (cbrt y) (pow y 1/3))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
2.0ms	(pow y 1/3)

series1.2s

Counts

4 → 12

Calls

4 calls:

330.0ms	(* (cbrt y) (pow y 1/3))
275.0ms	(cbrt y)
293.0ms	(cbrt y)
277.0ms	(pow y 1/3)

simplify2.0s

Counts

87 → 87

Iterations

Iter	Nodes
done	5000
2	1505
1	229
0	92

prune862.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

regimes879.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify9.0ms

Iterations

Iter	Nodes
done	36
1	36
0	27

end0.0ms

sample6.9s

Algorithm

intervals

Results

2.7s	23794×	body	80	nan
1.2s	5823×	body	80	valid
777.0ms	712×	body	320	valid
415.0ms	795×	body	640	valid
273.0ms	261×	body	1280	valid
119.0ms	439×	body	160	valid