Details

sample223.0ms

Algorithm

intervals

Results

117.0ms	773×	body	80	nan
24.0ms	186×	body	80	valid
13.0ms	21×	body	640	valid
12.0ms	28×	body	320	valid
8.0ms	6×	body	1280	valid
4.0ms	16×	body	160	valid

simplify1.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	2001
6	1183
5	592
4	287
3	116
2	49
1	26
0	14

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.6b

localize35.0ms

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))
4.7b	(log (- 1.0 y))

rewrite75.0ms

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×	`add-cbrt-cube` `associate-r`
7×	`flip3--` `flip--` `distribute-lft-out--` `difference-of-squares`
6×	`associate-+l+` `add-log-exp`
4×	`frac-add` `insert-posit16`
3×	`log-pow`
2×	`log-div` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `sum-log` `flip3-+` `rem-log-exp` `flip-+`

Counts

4 → 113

Calls

4 calls:

19.0ms	(* (- z 1.0) (log (- 1.0 y)))
24.0ms	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y))))
25.0ms	(* (- x 1.0) (log y))
4.0ms	(log (- 1.0 y))

series323.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(* (- z 1.0) (log (- 1.0 y)))
136.0ms	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y))))
64.0ms	(* (- x 1.0) (log y))
72.0ms	(log (- 1.0 y))

simplify672.0ms

Counts

125 → 125

Iterations

Iter	Nodes
done	2001
1	664
0	258

prune726.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize48.0ms

Local error

Found 3 expressions with local error:

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

rewrite182.0ms

Algorithm

rewrite-expression-head

Rules

132×	`associate-*l/`
90×	`flip3--` `flip--`
66×	`frac-times`
54×	`frac-sub`
52×	`frac-add`
42×	`associate-*r/`
32×	`associate--l+`
24×	`log-prod`
23×	`add-sqr-sqrt`
20×	`distribute-rgt-in` `distribute-lft-in`
19×	`*-un-lft-identity`
15×	`add-cube-cbrt`
14×	`associate-+r+`
10×	`associate-l`
8×	`pow1` `sub-neg`
7×	`add-cbrt-cube` `associate-r` `add-exp-log`
6×	`associate-+l+`
5×	`add-log-exp`
3×	`insert-posit16`
2×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
1×	`+-commutative` `sum-log` `flip3-+` `log-pow` `flip-+`

Counts

3 → 175

Calls

3 calls:

92.0ms	(* (- z 1.0) (- (- (log 1.0) (* 1.0 y)) (* (* (/ y 1.0) (/ y 1.0)) 1/2)))
60.0ms	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (- (log 1.0) (* 1.0 y)) (* (* (/ y 1.0) (/ y 1.0)) 1/2))))
26.0ms	(* (- x 1.0) (log y))

series333.0ms

Counts

3 → 9

Calls

3 calls:

72.0ms	(* (- z 1.0) (- (- (log 1.0) (* 1.0 y)) (* (* (/ y 1.0) (/ y 1.0)) 1/2)))
172.0ms	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (- (log 1.0) (* 1.0 y)) (* (* (/ y 1.0) (/ y 1.0)) 1/2))))
90.0ms	(* (- x 1.0) (log y))

simplify1.0s

Counts

184 → 184

Iterations

Iter	Nodes
done	2000
1	1422
0	484

prune1.5s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize90.0ms

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)

rewrite10.0ms

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` `insert-posit16` `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 → 77

Calls

4 calls:

7.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series1.2s

Counts

4 → 12

Calls

4 calls:

294.0ms	(* (cbrt y) (cbrt y))
244.0ms	(cbrt y)
326.0ms	(cbrt y)
299.0ms	(cbrt y)

simplify603.0ms

Counts

89 → 89

Iterations

Iter	Nodes
done	2000
3	1039
2	380
1	138
0	63

prune821.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize96.0ms

Local error

Found 4 expressions with local error:

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

rewrite24.0ms

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` `insert-posit16` `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 → 84

Calls

4 calls:

15.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
4.0ms	(pow y 1/3)

series1.2s

Counts

4 → 12

Calls

4 calls:

348.0ms	(* (cbrt y) (cbrt y))
291.0ms	(cbrt y)
240.0ms	(cbrt y)
278.0ms	(pow y 1/3)

simplify660.0ms

Counts

96 → 96

Iterations

Iter	Nodes
done	2001
3	1356
2	553
1	245
0	92

prune700.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes511.0ms

Accuracy

0% (0.1b remaining)

Error of 0.4b against oracle of 0.3b and baseline of 0.4b

bsearch0.0ms

simplify7.0ms

Iterations

Iter	Nodes
done	34
1	34
0	27

end0.0ms

sample7.8s

Algorithm

intervals

Results

4.1s	23412×	body	80	nan
1.5s	5896×	body	80	valid
574.0ms	767×	body	640	valid
360.0ms	266×	body	1280	valid
293.0ms	645×	body	320	valid
124.0ms	460×	body	160	valid