Details

sample231.0ms

Algorithm

intervals

Results

108.0ms	849×	body	80	nan
21.0ms	184×	body	80	valid
17.0ms	29×	body	640	valid
13.0ms	11×	body	1280	valid
7.0ms	19×	body	320	valid
3.0ms	14×	body	160	valid

simplify3.9s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
7	2731
6	1183
5	592
4	287
3	116
2	49
1	26
0	14

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.1b

localize27.0ms

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))

rewrite111.0ms

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:

75.0ms	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
26.0ms	(* (- x 1.0) (log y))
7.0ms	(log (- 1.0 y))

series353.0ms

Counts

3 → 9

Calls

3 calls:

228.0ms	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
67.0ms	(* (- x 1.0) (log y))
58.0ms	(log (- 1.0 y))

simplify2.5s

Counts

70 → 70

Iterations

Iter	Nodes
done	5017
3	4491
2	1114
1	400
0	179

prune485.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize46.0ms

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

rewrite313.0ms

Algorithm

rewrite-expression-head

Rules

106×	`frac-add`
96×	`associate-*r/`
82×	`flip3--` `flip--`
78×	`associate-*l/`
66×	`frac-times`
22×	`add-sqr-sqrt`
18×	`*-un-lft-identity`
12×	`log-prod` `add-cube-cbrt`
11×	`add-log-exp`
10×	`flip3-+` `associate-l` `flip-+`
9×	`pow1`
8×	`distribute-rgt-in` `distribute-lft-in` `add-cbrt-cube` `add-exp-log`
7×	`associate-r`
6×	`associate-+l+`
3×	`distribute-lft-out--` `difference-of-squares`
2×	`associate-+r+` `sum-log` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `sub-neg` `associate--l+` `log-pow`

Counts

4 → 164

Calls

4 calls:

123.0ms	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (+ (- (log 1.0) (* 1.0 y)) (* -1/2 (* (/ y 1.0) (/ y 1.0)))))) t)
105.0ms	(* (- z 1.0) (+ (- (log 1.0) (* 1.0 y)) (* -1/2 (* (/ y 1.0) (/ y 1.0)))))
38.0ms	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (+ (- (log 1.0) (* 1.0 y)) (* -1/2 (* (/ y 1.0) (/ y 1.0))))))
33.0ms	(* (- x 1.0) (log y))

series637.0ms

Counts

4 → 12

Calls

4 calls:

326.0ms	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (+ (- (log 1.0) (* 1.0 y)) (* -1/2 (* (/ y 1.0) (/ y 1.0)))))) t)
70.0ms	(* (- z 1.0) (+ (- (log 1.0) (* 1.0 y)) (* -1/2 (* (/ y 1.0) (/ y 1.0)))))
163.0ms	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (+ (- (log 1.0) (* 1.0 y)) (* -1/2 (* (/ y 1.0) (/ y 1.0))))))
78.0ms	(* (- x 1.0) (log y))

simplify2.4s

Counts

176 → 176

Iterations

Iter	Nodes
done	5006
1	1520
0	472

prune1.6s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize71.0ms

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)

rewrite12.0ms

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)

series1.2s

Counts

4 → 12

Calls

4 calls:

312.0ms	(* (cbrt y) (cbrt y))
300.0ms	(cbrt y)
269.0ms	(cbrt y)
276.0ms	(cbrt y)

simplify3.3s

Counts

85 → 85

Iterations

Iter	Nodes
done	5028
4	3114
3	971
2	377
1	136
0	61

prune697.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize77.0ms

Local error

Found 4 expressions with local error:

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

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
22×	`cbrt-prod`
16×	`*-un-lft-identity` `add-cube-cbrt`
12×	`pow1`
8×	`pow1/3`
7×	`add-exp-log`
6×	`swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
3×	`pow-unpow` `unpow-prod-down`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-to-exp` `pow-pow` `pow-plus` `unpow1/3` `pow-exp` `prod-exp` `*-commutative` `cbrt-unprod` `sqr-pow`

Counts

4 → 80

Calls

4 calls:

9.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
3.0ms	(pow y 1/3)

series1.1s

Counts

4 → 12

Calls

4 calls:

301.0ms	(* (cbrt y) (cbrt y))
242.0ms	(cbrt y)
290.0ms	(cbrt y)
236.0ms	(pow y 1/3)

simplify2.6s

Counts

92 → 92

Iterations

Iter	Nodes
done	5022
4	3817
3	1239
2	514
1	242
0	89

prune782.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

regimes837.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify7.0ms

Iterations

Iter	Nodes
done	35
1	35
0	27

end0.0ms

sample6.7s

Algorithm

intervals

Results

3.4s	23794×	body	80	nan
748.0ms	5823×	body	80	valid
442.0ms	795×	body	640	valid
341.0ms	261×	body	1280	valid
262.0ms	712×	body	320	valid
198.0ms	439×	body	160	valid