Details

sample211.0ms

Algorithm

intervals

Results

104.0ms	955×	body	80	nan
26.0ms	295×	body	80	valid

simplify2.4s

Counts

1 → 1

Iterations

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

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize40.0ms

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) (* (- b 0.5) (log c)))
0.2b	(* (- b 0.5) (log c))
0.3b	(* x (log y))

rewrite2.8s

Algorithm

rewrite-expression-head

Rules

38×	`add-log-exp`
25×	`sum-log`
20×	`add-sqr-sqrt`
18×	`log-prod`
16×	`*-un-lft-identity`
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--`
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:

2.2s	(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c))) (* y i))
595.0ms	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
27.0ms	(* (- b 0.5) (log c))
11.0ms	(* x (log y))

series1.2s

Counts

4 → 12

Calls

4 calls:

756.0ms	(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c))) (* y i))
317.0ms	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
80.0ms	(* (- b 0.5) (log c))
59.0ms	(* x (log y))

simplify1.9s

Counts

107 → 107

Iterations

Iter	Nodes
done	5000
2	2847
1	670
0	248

prune945.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize107.0ms

Local error

Found 4 expressions with local error:

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

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 65

Calls

4 calls:

8.0ms	(* x (log (cbrt y)))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series957.0ms

Counts

4 → 12

Calls

4 calls:

136.0ms	(* x (log (cbrt y)))
278.0ms	(cbrt y)
285.0ms	(cbrt y)
257.0ms	(cbrt y)

simplify1.8s

Counts

77 → 77

Iterations

Iter	Nodes
done	5000
3	2375
2	530
1	166
0	81

prune886.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize136.0ms

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)))

series1.7s

Counts

4 → 12

Calls

4 calls:

301.0ms	(cbrt y)
285.0ms	(cbrt y)
691.0ms	(cbrt (cbrt y))
416.0ms	(cbrt (* (cbrt y) (cbrt y)))

simplify1.0s

Counts

57 → 57

Iterations

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

prune784.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize92.0ms

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)

rewrite110.0ms

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:

102.0ms	(+ (+ (* (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:

446.0ms	(+ (+ (* (log (cbrt c)) (- b 0.5)) (* (log (cbrt c)) (- b 0.5))) (* (log (cbrt c)) (- b 0.5)))
213.0ms	(cbrt c)
242.0ms	(cbrt c)
330.0ms	(cbrt c)

simplify2.3s

Counts

76 → 76

Iterations

Iter	Nodes
done	5000
2	3289
1	603
0	157

prune857.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes1.2s

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

sample8.6s

Algorithm

intervals

Results

4.2s	27544×	body	80	nan
2.0s	9196×	body	80	valid
1.0ms	2×	body	1280	valid
0.0ms	1×	body	160	valid