Details

sample234.0ms

Algorithm

intervals

Results

103.0ms	881×	body	80	nan
35.0ms	292×	body	80	valid

simplify4.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
5	3696
4	1232
3	330
2	97
1	38
0	20

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize49.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x (log y)) z)
0.0b	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
0.1b	(* (- b 0.5) (log c))
0.3b	(* x (log y))

rewrite594.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 96

Calls

4 calls:

7.0ms	(+ (* x (log y)) z)
531.0ms	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
40.0ms	(* (- b 0.5) (log c))
13.0ms	(* x (log y))

series430.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(+ (* x (log y)) z)
269.0ms	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
66.0ms	(* (- b 0.5) (log c))
40.0ms	(* x (log y))

simplify1.6s

Counts

108 → 108

Iterations

Iter	Nodes
done	5019
2	2148
1	634
0	241

prune1.0s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize64.0ms

Local error

Found 4 expressions with local error:

0.3b	(* x (log y))
0.6b	(cbrt c)
0.6b	(cbrt c)
0.6b	(cbrt c)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
11×	`*-un-lft-identity` `add-cube-cbrt`
9×	`cbrt-prod`
7×	`pow1`
6×	`log-prod` `add-cbrt-cube` `add-exp-log`
4×	`associate-r` `add-log-exp`
3×	`distribute-rgt-in` `distribute-lft-in` `pow1/3` `associate-l`
1×	`pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 58

Calls

4 calls:

7.0ms	(* x (log y))
1.0ms	(cbrt c)
1.0ms	(cbrt c)
1.0ms	(cbrt c)

series732.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(* x (log y))
225.0ms	(cbrt c)
227.0ms	(cbrt c)
236.0ms	(cbrt c)

simplify2.4s

Counts

70 → 70

Iterations

Iter	Nodes
done	5000
4	2078
3	806
2	322
1	148
0	79

prune717.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize94.0ms

Local error

Found 4 expressions with local error:

0.3b	(* x (log y))
0.6b	(cbrt c)
0.6b	(cbrt c)
5.0b	(pow c 1/3)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 65

Calls

4 calls:

7.0ms	(* x (log y))
1.0ms	(cbrt c)
1.0ms	(cbrt c)
2.0ms	(pow c 1/3)

series881.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(* x (log y))
292.0ms	(cbrt c)
270.0ms	(cbrt c)
253.0ms	(pow c 1/3)

simplify2.5s

Counts

77 → 77

Iterations

Iter	Nodes
done	5041
4	3112
3	1304
2	516
1	228
0	107

prune945.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize152.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt c)
1.0b	(* (cbrt 1/3) (cbrt 1/3))
3.9b	(pow c (* (cbrt 1/3) (cbrt 1/3)))
5.2b	(pow (pow c (* (cbrt 1/3) (cbrt 1/3))) (cbrt 1/3))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 92

Calls

4 calls:

1.0ms	(cbrt c)
15.0ms	(* (cbrt 1/3) (cbrt 1/3))
5.0ms	(pow c (* (cbrt 1/3) (cbrt 1/3)))
10.0ms	(pow (pow c (* (cbrt 1/3) (cbrt 1/3))) (cbrt 1/3))

series1.4s

Counts

4 → 10

Calls

4 calls:

299.0ms	(cbrt c)
0.0ms	(* (cbrt 1/3) (cbrt 1/3))
404.0ms	(pow c (* (cbrt 1/3) (cbrt 1/3)))
682.0ms	(pow (pow c (* (cbrt 1/3) (cbrt 1/3))) (cbrt 1/3))

simplify2.4s

Counts

102 → 102

Iterations

Iter	Nodes
done	5008
3	2699
2	970
1	343
0	123

prune1.2s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

regimes2.4s

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify11.0ms

Iterations

Iter	Nodes
done	40
1	40
0	30

end0.0ms

sample8.9s

Algorithm

intervals

Results

4.6s	27779×	body	80	nan
1.7s	9272×	body	80	valid
34.0ms	1×	body	640	valid
1.0ms	1×	body	1280	valid