Details

sample347.0ms

Algorithm

intervals

Results

121.0ms	872×	body	80	nan
72.0ms	289×	body	80	valid

simplify2.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
4	1645
3	401
2	99
1	38
0	20

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c))) (* y i))
0.0b	(+ (+ (+ (* x (log y)) z) t) a)
0.1b	(* (- b 0.5) (log c))
0.2b	(* x (log y))

rewrite3.1s

Algorithm

rewrite-expression-head

Rules

33×	`add-log-exp`
21×	`sum-log`
19×	`*-un-lft-identity`
18×	`add-sqr-sqrt`
12×	`log-prod` `add-cube-cbrt`
10×	`pow1`
8×	`add-cbrt-cube` `associate-r` `associate-l` `add-exp-log`
6×	`distribute-rgt-in` `distribute-lft-in`
3×	`distribute-lft-out`
2×	`+-commutative` `associate-+l+` `flip3-+` `pow-prod-down` `associate-l/` `prod-exp` `log-pow` `-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`
1×	`flip3--` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 86

Calls

4 calls:

2.9s	(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c))) (* y i))
183.0ms	(+ (+ (+ (* x (log y)) z) t) a)
35.0ms	(* (- b 0.5) (log c))
24.0ms	(* x (log y))

series1.0s

Counts

4 → 12

Calls

4 calls:

812.0ms	(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c))) (* y i))
92.0ms	(+ (+ (+ (* x (log y)) z) t) a)
69.0ms	(* (- b 0.5) (log c))
45.0ms	(* x (log y))

simplify885.0ms

Counts

98 → 98

Iterations

Iter	Nodes
done	5001
2	2066
1	510
0	212

prune760.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize50.0ms

Local error

Found 4 expressions with local error:

0.3b	(* x (* 2 (log (cbrt y))))
0.3b	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

60×	`log-prod`
54×	`distribute-rgt-in` `distribute-lft-in`
36×	`cbrt-prod`
27×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
24×	`associate-+l+`
12×	`associate-+r+`
9×	`pow1` `add-cbrt-cube` `add-exp-log`
6×	`add-log-exp`
3×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`pow1/3`
1×	`+-commutative` `sum-log` `flip3-+` `associate-r` `*-commutative` `flip-+` `distribute-lft-out`

Counts

4 → 112

Calls

4 calls:

20.0ms	(* x (* 2 (log (cbrt y))))
33.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series770.0ms

Counts

4 → 12

Calls

4 calls:

102.0ms	(* x (* 2 (log (cbrt y))))
148.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
252.0ms	(cbrt y)
267.0ms	(cbrt y)

simplify851.0ms

Counts

124 → 124

Iterations

Iter	Nodes
done	5000
2	1834
1	449
0	184

prune1.3s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize116.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt (cbrt y))
0.6b	(cbrt (pow y 2/3))
5.7b	(pow y 2/3)

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

19×	`cbrt-prod`
11×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
6×	`unpow-prod-down`
5×	`pow1` `add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
3×	`pow-unpow` `pow1/3`
2×	`sqr-pow`
1×	`pow-to-exp` `pow-pow` `pow-exp`

Counts

4 → 57

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt (cbrt y))
2.0ms	(cbrt (pow y 2/3))
2.0ms	(pow y 2/3)

series1.3s

Counts

4 → 12

Calls

4 calls:

259.0ms	(cbrt y)
432.0ms	(cbrt (cbrt y))
316.0ms	(cbrt (pow y 2/3))
259.0ms	(pow y 2/3)

simplify2.2s

Counts

69 → 69

Iterations

Iter	Nodes
done	5002
3	2908
2	668
1	198
0	93

prune883.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize61.0ms

Local error

Found 4 expressions with local error:

0.3b	(* x (log (cbrt y)))
0.3b	(+ (* x (* 2 (log (pow y 1/3)))) (* x (log (cbrt y))))
0.6b	(cbrt y)
4.8b	(pow y 1/3)

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

52×	`log-prod`
40×	`distribute-rgt-in` `distribute-lft-in`
28×	`associate-+l+`
27×	`add-sqr-sqrt`
25×	`*-un-lft-identity` `add-cube-cbrt`
15×	`cbrt-prod` `unpow-prod-down`
12×	`associate-+r+`
8×	`pow1`
7×	`add-exp-log`
6×	`add-cbrt-cube` `add-log-exp`
5×	`associate-r` `sqr-pow`
3×	`pow-unpow` `associate-l`
2×	`pow1/3` `log-pow`
1×	`pow-to-exp` `+-commutative` `sum-log` `pow-pow` `flip3-+` `unpow1/3` `pow-prod-down` `pow-exp` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

4 → 113

Calls

4 calls:

8.0ms	(* x (log (cbrt y)))
57.0ms	(+ (* x (* 2 (log (pow y 1/3)))) (* x (log (cbrt y))))
1.0ms	(cbrt y)
2.0ms	(pow y 1/3)

series868.0ms

Counts

4 → 12

Calls

4 calls:

148.0ms	(* x (log (cbrt y)))
193.0ms	(+ (* x (* 2 (log (pow y 1/3)))) (* x (log (cbrt y))))
277.0ms	(cbrt y)
250.0ms	(pow y 1/3)

simplify1.5s

Counts

125 → 125

Iterations

Iter	Nodes
done	5001
2	2619
1	588
0	215

prune1.1s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes2.0s

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify8.0ms

Iterations

Iter	Nodes
done	43
1	43
0	31

end0.0ms

sample10.1s

Algorithm

intervals

Results

4.3s	27553×	body	80	nan
1.9s	9196×	body	80	valid
0.0ms	1×	body	160	valid