Details

sample339.0ms

Algorithm

intervals

Results

123.0ms	984×	body	80	nan
35.0ms	305×	body	80	valid

simplify2.2s

Counts

1 → 1

Iterations

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

prune25.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize45.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (* x (log y)) z) t)
0.0b	(+ (* (- b 0.5) (log c)) (+ (+ a (* i y)) (+ (+ (* x (log y)) z) t)))
0.2b	(* (- b 0.5) (log c))
0.3b	(* x (log y))

rewrite344.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 104

Calls

4 calls:

34.0ms	(+ (+ (* x (log y)) z) t)
246.0ms	(+ (* (- b 0.5) (log c)) (+ (+ a (* i y)) (+ (+ (* x (log y)) z) t)))
35.0ms	(* (- b 0.5) (log c))
21.0ms	(* x (log y))

series1.4s

Counts

4 → 12

Calls

4 calls:

71.0ms	(+ (+ (* x (log y)) z) t)
1.2s	(+ (* (- b 0.5) (log c)) (+ (+ a (* i y)) (+ (+ (* x (log y)) z) t)))
80.0ms	(* (- b 0.5) (log c))
57.0ms	(* x (log y))

simplify507.0ms

Counts

116 → 116

Iterations

Iter	Nodes
done	5000
1	938
0	306

prune1.2s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize100.0ms

Local error

Found 4 expressions with local error:

0.3b	(+ (* (* 2 (log (cbrt c))) (- b 0.5)) (* (log (cbrt c)) (- b 0.5)))
0.3b	(* x (log y))
0.6b	(cbrt c)
0.6b	(cbrt c)

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt`
10×	`*-un-lft-identity` `add-cube-cbrt`
8×	`associate-*r/`
7×	`distribute-rgt-in` `pow1` `distribute-lft-in`
6×	`cbrt-prod` `log-prod` `add-cbrt-cube` `add-exp-log` `add-log-exp`
4×	`associate-+l+` `associate-+r+` `sub-neg` `flip3--` `associate-r` `frac-add` `flip--`
3×	`associate-l`
2×	`pow1/3`
1×	`+-commutative` `sum-log` `flip3-+` `distribute-rgt-out` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

4 → 71

Calls

4 calls:

37.0ms	(+ (* (* 2 (log (cbrt c))) (- b 0.5)) (* (log (cbrt c)) (- b 0.5)))
12.0ms	(* x (log y))
1.0ms	(cbrt c)
1.0ms	(cbrt c)

series1.3s

Counts

4 → 12

Calls

4 calls:

406.0ms	(+ (* (* 2 (log (cbrt c))) (- b 0.5)) (* (log (cbrt c)) (- b 0.5)))
54.0ms	(* x (log y))
257.0ms	(cbrt c)
588.0ms	(cbrt c)

simplify795.0ms

Counts

83 → 83

Iterations

Iter	Nodes
done	5000
2	1832
1	457
0	164

prune1.0s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize103.0ms

Local error

Found 4 expressions with local error:

0.3b	(+ (* (* 2 (log (cbrt c))) (- b 0.5)) (* (log (pow c 1/3)) (- b 0.5)))
0.3b	(* x (log y))
0.6b	(cbrt c)
5.1b	(pow c 1/3)

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
11×	`*-un-lft-identity` `add-cube-cbrt`
8×	`pow1` `associate-*r/`
7×	`distribute-rgt-in` `distribute-lft-in` `add-exp-log`
6×	`log-prod` `add-cbrt-cube` `add-log-exp`
4×	`associate-+l+` `associate-+r+` `sub-neg` `flip3--` `associate-r` `frac-add` `flip--`
3×	`cbrt-prod` `pow-unpow` `unpow-prod-down` `associate-l`
1×	`pow-to-exp` `+-commutative` `sum-log` `pow-pow` `flip3-+` `distribute-rgt-out` `unpow1/3` `pow1/3` `pow-prod-down` `pow-exp` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr` `sqr-pow`

Counts

4 → 78

Calls

4 calls:

24.0ms	(+ (* (* 2 (log (cbrt c))) (- b 0.5)) (* (log (pow c 1/3)) (- b 0.5)))
7.0ms	(* x (log y))
1.0ms	(cbrt c)
4.0ms	(pow c 1/3)

series1.2s

Counts

4 → 12

Calls

4 calls:

662.0ms	(+ (* (* 2 (log (cbrt c))) (- b 0.5)) (* (log (pow c 1/3)) (- b 0.5)))
42.0ms	(* x (log y))
288.0ms	(cbrt c)
226.0ms	(pow c 1/3)

simplify906.0ms

Counts

90 → 90

Iterations

Iter	Nodes
done	5000
2	2109
1	565
0	201

prune1.0s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize125.0ms

Local error

Found 4 expressions with local error:

0.3b	(* x (log y))
0.6b	(cbrt c)
5.1b	(pow (pow c (sqrt 1/3)) (sqrt 1/3))
5.9b	(pow c (sqrt 1/3))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 82

Calls

4 calls:

22.0ms	(* x (log y))
1.0ms	(cbrt c)
8.0ms	(pow (pow c (sqrt 1/3)) (sqrt 1/3))
4.0ms	(pow c (sqrt 1/3))

series1.3s

Counts

4 → 12

Calls

4 calls:

68.0ms	(* x (log y))
277.0ms	(cbrt c)
609.0ms	(pow (pow c (sqrt 1/3)) (sqrt 1/3))
361.0ms	(pow c (sqrt 1/3))

simplify735.0ms

Counts

94 → 94

Iterations

Iter	Nodes
done	5001
2	1430
1	387
0	150

prune1.1s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes1.8s

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify7.0ms

Iterations

Iter	Nodes
done	41
1	41
0	30

end0.0ms

sample10.0s

Algorithm

intervals

Results

3.7s	27497×	body	80	nan
1.5s	9290×	body	80	valid
2.0ms	4×	body	640	valid