Details

sample303.0ms

Algorithm

intervals

Results

135.0ms	872×	body	80	nan
37.0ms	289×	body	80	valid

simplify2.7s

Counts

1 → 1

Iterations

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

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize39.0ms

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))

rewrite2.9s

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:

2.7s	(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c))) (* y i))
165.0ms	(+ (+ (+ (* x (log y)) z) t) a)
31.0ms	(* (- b 0.5) (log c))
12.0ms	(* x (log y))

series1.1s

Counts

4 → 12

Calls

4 calls:

787.0ms	(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c))) (* y i))
131.0ms	(+ (+ (+ (* x (log y)) z) t) a)
106.0ms	(* (- b 0.5) (log c))
72.0ms	(* x (log y))

simplify799.0ms

Counts

98 → 98

Iterations

Iter	Nodes
done	5001
2	2066
1	510
0	212

prune719.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize46.0ms

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)

rewrite74.0ms

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:

19.0ms	(* x (* 2 (log (cbrt y))))
45.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series848.0ms

Counts

4 → 12

Calls

4 calls:

149.0ms	(* x (* 2 (log (cbrt y))))
129.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
246.0ms	(cbrt y)
323.0ms	(cbrt y)

simplify1.0s

Counts

124 → 124

Iterations

Iter	Nodes
done	5000
2	1834
1	449
0	184

prune1.2s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize85.0ms

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)

rewrite12.0ms

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)
2.0ms	(cbrt (cbrt y))
3.0ms	(cbrt (pow y 2/3))
4.0ms	(pow y 2/3)

series1.3s

Counts

4 → 12

Calls

4 calls:

313.0ms	(cbrt y)
493.0ms	(cbrt (cbrt y))
272.0ms	(cbrt (pow y 2/3))
267.0ms	(pow y 2/3)

simplify2.1s

Counts

69 → 69

Iterations

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

prune899.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize91.0ms

Local error

Found 4 expressions with local error:

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

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

16×	`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 → 45

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt (cbrt y))
4.0ms	(cbrt (* (cbrt y) (cbrt y)))

series1.5s

Counts

4 → 12

Calls

4 calls:

279.0ms	(cbrt y)
267.0ms	(cbrt y)
390.0ms	(cbrt (cbrt y))
520.0ms	(cbrt (* (cbrt y) (cbrt y)))

simplify674.0ms

Counts

57 → 57

Iterations

Iter	Nodes
done	5001
3	1163
2	324
1	112
0	58

prune800.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

regimes1.3s

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	43
1	43
0	31

end0.0ms

sample10.0s

Algorithm

intervals

Results

4.6s	27553×	body	80	nan
1.9s	9196×	body	80	valid
0.0ms	1×	body	160	valid