Details

sample60.0ms

Algorithm

intervals

Results

24.0ms	248×	body	80	valid
7.0ms	18×	body	640	valid
4.0ms	15×	body	320	valid
4.0ms	8×	body	1280	valid
2.0ms	12×	body	160	valid
1.0ms	2×	body	2560	valid

simplify601.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	2000
5	786
4	312
3	120
2	44
1	23
0	11

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.3b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- t x) (- a z))
5.2b	(+ x (* (- y z) (/ (- t x) (- a z))))
6.4b	(* (- y z) (/ (- t x) (- a z)))

rewrite103.0ms

Algorithm

rewrite-expression-head

Rules

78×	`add-sqr-sqrt`
73×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-r`
27×	`add-cube-cbrt`
23×	`distribute-lft-out--` `difference-of-squares`
10×	`add-cbrt-cube` `add-exp-log`
5×	`pow1` `associate-/r` `flip3--` `associate-l` `flip--` `associate-/l` `add-log-exp`
4×	`associate-/r/`
3×	`insert-posit16`
2×	`frac-times` `cbrt-undiv` `div-exp` `associate-*l/` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr` `associate-/l/`
1×	`+-commutative` `clear-num` `sum-log` `frac-2neg` `flip3-+` `div-sub` `pow-prod-down` `associate-r/` `-commutative` `flip-+`

Counts

3 → 122

Calls

3 calls:

25.0ms	(/ (- t x) (- a z))
11.0ms	(+ x (* (- y z) (/ (- t x) (- a z))))
63.0ms	(* (- y z) (/ (- t x) (- a z)))

series403.0ms

Counts

3 → 9

Calls

3 calls:

56.0ms	(/ (- t x) (- a z))
171.0ms	(+ x (* (- y z) (/ (- t x) (- a z))))
175.0ms	(* (- y z) (/ (- t x) (- a z)))

simplify808.0ms

Counts

131 → 131

Iterations

Iter	Nodes
done	2000
2	1770
1	503
0	186

prune638.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 5.3b

localize37.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- a z))
0.6b	(cbrt (- a z))
0.6b	(cbrt (- a z))
9.9b	(+ x (* (* (* (- y z) (/ (cbrt (- t x)) (cbrt (- a z)))) (/ (cbrt (- t x)) (cbrt (- a z)))) (/ (cbrt (- t x)) (cbrt (- a z)))))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

15×	`cbrt-prod`
13×	`add-sqr-sqrt` `*-un-lft-identity`
7×	`add-cube-cbrt`
6×	`cbrt-div` `add-log-exp`
4×	`pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16`
3×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--` `difference-of-squares`
1×	`+-commutative` `sum-log` `flip3-+` `flip-+`

Counts

4 → 60

Calls

4 calls:

3.0ms	(cbrt (- a z))
3.0ms	(cbrt (- a z))
3.0ms	(cbrt (- a z))
7.0ms	(+ x (* (* (* (- y z) (/ (cbrt (- t x)) (cbrt (- a z)))) (/ (cbrt (- t x)) (cbrt (- a z)))) (/ (cbrt (- t x)) (cbrt (- a z)))))

series772.0ms

Counts

4 → 12

Calls

4 calls:

151.0ms	(cbrt (- a z))
202.0ms	(cbrt (- a z))
209.0ms	(cbrt (- a z))
209.0ms	(+ x (* (* (* (- y z) (/ (cbrt (- t x)) (cbrt (- a z)))) (/ (cbrt (- t x)) (cbrt (- a z)))) (/ (cbrt (- t x)) (cbrt (- a z)))))

simplify1.2s

Counts

72 → 72

Iterations

Iter	Nodes
done	2001
2	742
1	260
0	109

prune601.0ms

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 3.4b

localize27.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- a z))
0.6b	(cbrt (- a z))
2.5b	(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z))))
8.9b	(+ x (* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z)))))

rewrite119.0ms

Algorithm

rewrite-expression-head

Rules

75×	`add-sqr-sqrt`
59×	`*-un-lft-identity`
52×	`times-frac`
46×	`associate-r`
37×	`cbrt-prod`
27×	`add-cube-cbrt`
25×	`add-exp-log`
18×	`cbrt-div` `add-cbrt-cube`
17×	`associate-l`
16×	`distribute-lft-out--` `difference-of-squares`
10×	`associate-/r/`
9×	`flip3--` `flip--`
8×	`prod-exp` `cbrt-unprod`
7×	`cbrt-undiv` `div-exp`
6×	`pow1` `add-log-exp` `unswap-sqr`
5×	`frac-times`
4×	`insert-posit16`
3×	`associate-l/` `associate-r/`
2×	`pow1/3` `div-inv`
1×	`+-commutative` `sum-log` `flip3-+` `pow-prod-down` `*-commutative` `flip-+`

Counts

4 → 138

Calls

4 calls:

4.0ms	(cbrt (- a z))
3.0ms	(cbrt (- a z))
99.0ms	(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z))))
9.0ms	(+ x (* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z)))))

series1.1s

Counts

4 → 12

Calls

4 calls:

198.0ms	(cbrt (- a z))
214.0ms	(cbrt (- a z))
420.0ms	(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z))))
221.0ms	(+ x (* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z)))))

simplify706.0ms

Counts

150 → 150

Iterations

Iter	Nodes
done	2000
1	748
0	258

prune899.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 3.4b

localize56.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- a z))
0.6b	(cbrt (- a z))
2.1b	(* (/ (/ (/ (- y z) (cbrt (- a z))) (cbrt (- a z))) (cbrt (* (cbrt (- a z)) (cbrt (- a z))))) (/ (- t x) (cbrt (cbrt (- a z)))))
10.1b	(+ x (* (/ (/ (/ (- y z) (cbrt (- a z))) (cbrt (- a z))) (cbrt (* (cbrt (- a z)) (cbrt (- a z))))) (/ (- t x) (cbrt (cbrt (- a z))))))

rewrite380.0ms

Algorithm

rewrite-expression-head

Rules

4484×	`times-frac`
2897×	`add-sqr-sqrt`
2624×	`*-un-lft-identity`
2282×	`cbrt-prod`
1508×	`associate-l`
1388×	`add-cube-cbrt`
618×	`distribute-lft-out--` `difference-of-squares`
100×	`cbrt-div`
82×	`associate-/r/`
61×	`associate-r`
60×	`unswap-sqr`
45×	`flip3--` `flip--`
38×	`div-inv`
36×	`add-exp-log`
20×	`add-cbrt-cube`
16×	`cbrt-undiv` `div-exp`
8×	`prod-exp` `cbrt-unprod`
6×	`pow1` `add-log-exp`
5×	`frac-times`
4×	`insert-posit16`
3×	`associate-l/` `associate-r/`
2×	`pow1/3`
1×	`+-commutative` `sum-log` `flip3-+` `pow-prod-down` `*-commutative` `flip-+`

Counts

4 → 1702

Calls

4 calls:

5.0ms	(cbrt (- a z))
5.0ms	(cbrt (- a z))
200.0ms	(* (/ (/ (/ (- y z) (cbrt (- a z))) (cbrt (- a z))) (cbrt (* (cbrt (- a z)) (cbrt (- a z))))) (/ (- t x) (cbrt (cbrt (- a z)))))
7.0ms	(+ x (* (/ (/ (/ (- y z) (cbrt (- a z))) (cbrt (- a z))) (cbrt (* (cbrt (- a z)) (cbrt (- a z))))) (/ (- t x) (cbrt (cbrt (- a z))))))

series1.0s

Counts

4 → 12

Calls

4 calls:

179.0ms	(cbrt (- a z))
164.0ms	(cbrt (- a z))
412.0ms	(* (/ (/ (/ (- y z) (cbrt (- a z))) (cbrt (- a z))) (cbrt (* (cbrt (- a z)) (cbrt (- a z))))) (/ (- t x) (cbrt (cbrt (- a z)))))
249.0ms	(+ x (* (/ (/ (/ (- y z) (cbrt (- a z))) (cbrt (- a z))) (cbrt (* (cbrt (- a z)) (cbrt (- a z))))) (/ (- t x) (cbrt (cbrt (- a z))))))

simplify1.7s

Counts

1714 → 1714

Iterations

Iter	Nodes
done	2000
0	1547

prune10.8s

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 3.4b

regimes877.0ms

Accuracy

65.5% (3.2b remaining)

Error of 6.5b against oracle of 3.3b and baseline of 12.6b

bsearch4.0ms

simplify23.0ms

Iterations

Iter	Nodes
done	54
1	54
0	43

end0.0ms

sample2.1s

Algorithm

intervals

Results

1.2s	7748×	body	80	valid
217.0ms	476×	body	640	valid
137.0ms	273×	body	1280	valid
110.0ms	437×	body	320	valid
77.0ms	272×	body	160	valid
10.0ms	19×	body	2560	valid