Details

sample214.0ms

Algorithm

intervals

Results

97.0ms	885×	body	80	nan
30.0ms	298×	body	80	valid

simplify2.2s

Counts

1 → 1

Iterations

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

prune22.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize43.0ms

Local error

Found 4 expressions with local error:

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

rewrite392.0ms

Algorithm

rewrite-expression-head

Rules

54×	`add-log-exp`
37×	`sum-log`
24×	`frac-add`
21×	`*-un-lft-identity`
20×	`add-sqr-sqrt`
18×	`log-prod`
16×	`flip3-+` `flip-+`
14×	`associate-*l/` `add-cube-cbrt`
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--`
3×	`distribute-lft-out`
2×	`+-commutative` `associate-+r+` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`distribute-lft-out--` `difference-of-squares`

Counts

4 → 114

Calls

4 calls:

272.0ms	(+ (* (- b 0.5) (log c)) (+ (+ a (* i y)) (+ (+ (* x (log y)) z) t)))
75.0ms	(+ (+ a (* i y)) (+ (+ (* x (log y)) z) t))
34.0ms	(* (- b 0.5) (log c))
7.0ms	(* x (log y))

series1.6s

Counts

4 → 12

Calls

4 calls:

1.4s	(+ (* (- b 0.5) (log c)) (+ (+ a (* i y)) (+ (+ (* x (log y)) z) t)))
164.0ms	(+ (+ a (* i y)) (+ (+ (* x (log y)) z) t))
64.0ms	(* (- b 0.5) (log c))
42.0ms	(* x (log y))

simplify1.5s

Counts

126 → 126

Iterations

Iter	Nodes
done	5000
2	4762
1	925
0	301

prune969.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize79.0ms

Local error

Found 4 expressions with local error:

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

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

48×	`log-prod`
36×	`distribute-rgt-in` `distribute-lft-in`
30×	`cbrt-prod`
26×	`add-sqr-sqrt`
24×	`associate-+l+` `*-un-lft-identity` `add-cube-cbrt`
12×	`associate-+r+`
7×	`pow1`
6×	`add-cbrt-cube` `add-exp-log` `add-log-exp`
5×	`associate-r`
3×	`pow1/3` `associate-l`
2×	`log-pow`
1×	`+-commutative` `sum-log` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

4 → 102

Calls

4 calls:

12.0ms	(* x (log (cbrt y)))
32.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series773.0ms

Counts

4 → 12

Calls

4 calls:

128.0ms	(* x (log (cbrt y)))
142.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
247.0ms	(cbrt y)
255.0ms	(cbrt y)

simplify780.0ms

Counts

114 → 114

Iterations

Iter	Nodes
done	5000
2	1755
1	423
0	157

prune1.3s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize104.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `add-log-exp`

Counts

4 → 44

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series1.1s

Counts

4 → 12

Calls

4 calls:

276.0ms	(cbrt y)
283.0ms	(cbrt y)
271.0ms	(cbrt y)
265.0ms	(cbrt y)

simplify1.8s

Counts

56 → 56

Iterations

Iter	Nodes
done	5000
5	3236
4	853
3	326
2	113
1	44
0	24

prune934.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize168.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)
4.9b	(pow (/ 1 y) -1/3)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
13×	`unpow-prod-down`
9×	`cbrt-prod` `times-frac` `add-exp-log`
6×	`pow1`
4×	`add-cbrt-cube` `pow-exp` `add-log-exp`
3×	`pow-unpow` `pow-pow` `pow1/3`
2×	`div-exp`
1×	`pow-to-exp` `rec-exp` `1-exp` `div-inv` `pow-flip` `inv-pow` `sqr-pow`

Counts

4 → 65

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)
6.0ms	(pow (/ 1 y) -1/3)

series1.2s

Counts

4 → 12

Calls

4 calls:

296.0ms	(cbrt y)
297.0ms	(cbrt y)
327.0ms	(cbrt y)
282.0ms	(pow (/ 1 y) -1/3)

simplify967.0ms

Counts

77 → 77

Iterations

Iter	Nodes
done	5000
3	2235
2	792
1	279
0	100

prune907.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

regimes1.7s

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	51
1	51
0	36

end0.0ms

sample8.3s

Algorithm

intervals

Results

4.7s	27695×	body	80	nan
1.3s	9186×	body	80	valid
1.0ms	3×	body	320	valid
0.0ms	1×	body	640	valid