Details

sample242.0ms

Algorithm

intervals

Results

119.0ms	913×	body	80	nan
32.0ms	288×	body	80	valid
0.0ms	1×	body	320	valid

simplify4.7s

Counts

1 → 1

Iterations

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

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize77.0ms

Local error

Found 4 expressions with local error:

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

rewrite1.0s

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 95

Calls

4 calls:

766.0ms	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
179.0ms	(+ (+ (+ (* x (log y)) z) t) a)
38.0ms	(* (- b 0.5) (log c))
15.0ms	(* x (log y))

series597.0ms

Counts

4 → 12

Calls

4 calls:

368.0ms	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
98.0ms	(+ (+ (+ (* x (log y)) z) t) a)
67.0ms	(* (- b 0.5) (log c))
64.0ms	(* x (log y))

simplify1.7s

Counts

107 → 107

Iterations

Iter	Nodes
done	5006
2	2062
1	576
0	224

prune1.1s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize44.0ms

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))
0.3b	(* x (log y))

rewrite1.1s

Algorithm

rewrite-expression-head

Rules

41×	`add-log-exp`
27×	`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` `flip3-+` `flip-+`
4×	`frac-add`
3×	`distribute-lft-out`
2×	`+-commutative` `associate-+l+` `pow-prod-down` `associate-l/` `prod-exp` `log-pow` `-commutative` `cbrt-unprod` `unswap-sqr`
1×	`associate-+r+` `flip3--` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 93

Calls

4 calls:

980.0ms	(+ (+ (+ (+ (* x (log y)) z) (+ t a)) (* (- b 0.5) (log c))) (* y i))
46.0ms	(+ (+ (* x (log y)) z) (+ t a))
29.0ms	(* (- b 0.5) (log c))
9.0ms	(* x (log y))

series928.0ms

Counts

4 → 12

Calls

4 calls:

662.0ms	(+ (+ (+ (+ (* x (log y)) z) (+ t a)) (* (- b 0.5) (log c))) (* y i))
123.0ms	(+ (+ (* x (log y)) z) (+ t a))
91.0ms	(* (- b 0.5) (log c))
52.0ms	(* x (log y))

simplify2.2s

Counts

105 → 105

Iterations

Iter	Nodes
done	5019
2	2335
1	649
0	250

prune1.0s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize88.0ms

Local error

Found 4 expressions with local error:

0.3b	(+ (+ (* (log (cbrt c)) (- b 0.5)) (* (log (cbrt c)) (- b 0.5))) (* (log (cbrt c)) (- b 0.5)))
0.6b	(cbrt c)
0.6b	(cbrt c)
0.6b	(cbrt c)

rewrite104.0ms

Algorithm

rewrite-expression-head

Rules

28×	`associate-*r/`
20×	`frac-add`
14×	`flip3--` `flip--`
9×	`cbrt-prod` `add-log-exp`
7×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `associate-+r+` `add-cbrt-cube` `add-exp-log`
3×	`sum-log` `flip3-+` `pow1/3` `flip-+`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `distribute-lft-out`
1×	`+-commutative` `associate-+l+` `distribute-lft1-in` `count-2`

Counts

4 → 64

Calls

4 calls:

98.0ms	(+ (+ (* (log (cbrt c)) (- b 0.5)) (* (log (cbrt c)) (- b 0.5))) (* (log (cbrt c)) (- b 0.5)))
1.0ms	(cbrt c)
1.0ms	(cbrt c)
1.0ms	(cbrt c)

series1.2s

Counts

4 → 12

Calls

4 calls:

417.0ms	(+ (+ (* (log (cbrt c)) (- b 0.5)) (* (log (cbrt c)) (- b 0.5))) (* (log (cbrt c)) (- b 0.5)))
249.0ms	(cbrt c)
289.0ms	(cbrt c)
251.0ms	(cbrt c)

simplify2.5s

Counts

76 → 76

Iterations

Iter	Nodes
done	5000
2	2745
1	598
0	157

prune873.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize81.0ms

Local error

Found 4 expressions with local error:

0.3b	(+ (+ (* (log (cbrt c)) (- b 0.5)) (* (log (cbrt c)) (- b 0.5))) (* (log (pow c 1/3)) (- b 0.5)))
0.6b	(cbrt c)
0.6b	(cbrt c)
5.3b	(pow c 1/3)

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

28×	`associate-*r/`
20×	`frac-add`
14×	`flip3--` `flip--`
9×	`add-log-exp`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
6×	`cbrt-prod`
5×	`pow1` `add-exp-log`
4×	`associate-+r+` `add-cbrt-cube`
3×	`pow-unpow` `sum-log` `unpow-prod-down` `flip3-+` `flip-+`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `pow1/3`
1×	`pow-to-exp` `+-commutative` `associate-+l+` `pow-pow` `unpow1/3` `pow-exp` `sqr-pow`

Counts

4 → 69

Calls

4 calls:

67.0ms	(+ (+ (* (log (cbrt c)) (- b 0.5)) (* (log (cbrt c)) (- b 0.5))) (* (log (pow c 1/3)) (- b 0.5)))
1.0ms	(cbrt c)
1.0ms	(cbrt c)
3.0ms	(pow c 1/3)

series1.7s

Counts

4 → 12

Calls

4 calls:

955.0ms	(+ (+ (* (log (cbrt c)) (- b 0.5)) (* (log (cbrt c)) (- b 0.5))) (* (log (pow c 1/3)) (- b 0.5)))
248.0ms	(cbrt c)
251.0ms	(cbrt c)
236.0ms	(pow c 1/3)

simplify2.3s

Counts

81 → 81

Iterations

Iter	Nodes
done	5002
2	2812
1	721
0	199

prune970.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

regimes2.1s

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	37
1	37
0	27

end0.0ms

sample8.8s

Algorithm

intervals

Results

5.0s	27042×	body	80	nan
1.3s	9189×	body	80	valid
1.0ms	2×	body	160	valid
0.0ms	1×	body	320	valid