Details

sample230.0ms

Algorithm

intervals

Results

97.0ms	832×	body	80	nan
25.0ms	185×	body	80	valid
22.0ms	16×	body	160	valid
20.0ms	26×	body	640	valid
11.0ms	10×	body	1280	valid
10.0ms	21×	body	320	valid

simplify3.5s

Counts

1 → 1

Iterations

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
0.0b	(* (- z 1.0) (log (- 1.0 y)))
0.1b	(* (- x 1.0) (log y))
6.8b	(log (- 1.0 y))

rewrite115.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt`
25×	`*-un-lft-identity`
21×	`log-prod`
13×	`add-cube-cbrt`
11×	`pow1`
10×	`associate-l`
9×	`add-exp-log` `add-log-exp`
8×	`distribute-rgt-in` `distribute-lft-in` `add-cbrt-cube` `associate-r`
6×	`distribute-lft-out--` `difference-of-squares`
4×	`flip3--` `associate-*l/` `insert-posit16` `flip--`
3×	`log-pow`
2×	`log-div` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`sum-log` `sub-neg` `rem-log-exp` `associate--l+`

Counts

4 → 98

Calls

4 calls:

69.0ms	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
23.0ms	(* (- z 1.0) (log (- 1.0 y)))
18.0ms	(* (- x 1.0) (log y))
3.0ms	(log (- 1.0 y))

series458.0ms

Counts

4 → 12

Calls

4 calls:

257.0ms	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
65.0ms	(* (- z 1.0) (log (- 1.0 y)))
80.0ms	(* (- x 1.0) (log y))
56.0ms	(log (- 1.0 y))

simplify1.5s

Counts

110 → 110

Iterations

Iter	Nodes
done	5000
2	1504
1	536
0	235

prune696.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.1b

localize40.0ms

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

rewrite195.0ms

Algorithm

rewrite-expression-head

Rules

32×	`associate--l+`
28×	`associate-*l/`
27×	`flip3--` `flip--`
26×	`add-sqr-sqrt` `add-cbrt-cube` `add-exp-log`
24×	`log-prod`
21×	`*-un-lft-identity`
20×	`distribute-rgt-in` `distribute-lft-in`
17×	`add-cube-cbrt`
16×	`frac-add`
14×	`pow1` `associate-+r+`
13×	`frac-times`
11×	`associate-l` `prod-exp` `cbrt-unprod`
10×	`associate-r`
8×	`sub-neg`
7×	`associate-*r/`
6×	`associate-+l+` `add-log-exp`
5×	`pow-prod-down`
4×	`cbrt-undiv` `div-exp` `insert-posit16`
3×	`*-commutative` `unswap-sqr`
2×	`distribute-lft-out--` `difference-of-squares`
1×	`+-commutative` `sum-log` `flip3-+` `log-pow` `flip-+`

Counts

4 → 150

Calls

4 calls:

52.0ms	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (- (log 1.0) (* (* (/ y 1.0) (/ y 1.0)) 1/2)) (* 1.0 y))))
88.0ms	(* (- z 1.0) (- (- (log 1.0) (* (* (/ y 1.0) (/ y 1.0)) 1/2)) (* 1.0 y)))
35.0ms	(* (* (/ y 1.0) (/ y 1.0)) 1/2)
16.0ms	(* (- x 1.0) (log y))

series365.0ms

Counts

4 → 12

Calls

4 calls:

157.0ms	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (- (log 1.0) (* (* (/ y 1.0) (/ y 1.0)) 1/2)) (* 1.0 y))))
63.0ms	(* (- z 1.0) (- (- (log 1.0) (* (* (/ y 1.0) (/ y 1.0)) 1/2)) (* 1.0 y)))
50.0ms	(* (* (/ y 1.0) (/ y 1.0)) 1/2)
94.0ms	(* (- x 1.0) (log y))

simplify2.4s

Counts

162 → 162

Iterations

Iter	Nodes
done	5003
2	4830
1	1040
0	354

prune1.1s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

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)

rewrite15.0ms

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:

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:

328.0ms	(* (cbrt y) (cbrt y))
267.0ms	(cbrt y)
212.0ms	(cbrt y)
203.0ms	(cbrt y)

simplify3.1s

Counts

89 → 89

Iterations

Iter	Nodes
done	5001
4	3895
3	1039
2	380
1	138
0	63

prune741.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize83.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt y) (cbrt y))
0.7b	(cbrt y)
0.7b	(cbrt y)
5.1b	(pow y 1/3)

rewrite17.0ms

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:

9.0ms	(* (cbrt y) (cbrt y))
2.0ms	(cbrt y)
1.0ms	(cbrt y)
4.0ms	(pow y 1/3)

series1.1s

Counts

4 → 12

Calls

4 calls:

266.0ms	(* (cbrt y) (cbrt y))
253.0ms	(cbrt y)
275.0ms	(cbrt y)
261.0ms	(pow y 1/3)

simplify2.5s

Counts

96 → 96

Iterations

Iter	Nodes
done	5000
4	4256
3	1356
2	553
1	245
0	92

prune784.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.1b

regimes518.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Iter	Nodes
done	38
1	38
0	30

end0.0ms

sample8.4s

Algorithm

intervals

Results

4.3s	24405×	body	80	nan
1.1s	5990×	body	80	valid
942.0ms	730×	body	640	valid
389.0ms	641×	body	320	valid
348.0ms	258×	body	1280	valid
153.0ms	417×	body	160	valid