Details

sample49.0ms

Algorithm

intervals

Results

19.0ms	241×	body	80	valid
6.0ms	25×	body	320	valid
5.0ms	18×	body	640	valid
3.0ms	8×	body	1280	valid
1.0ms	8×	body	160	valid

simplify1.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
6	3252
5	844
4	292
3	111
2	45
1	20
0	11

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 27.5b

localize30.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- y z) (- t x))
2.8b	(+ x (/ (* (- y z) (- t x)) (- a z)))
21.1b	(/ (* (- y z) (- t x)) (- a z))

rewrite106.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 84

Calls

3 calls:

40.0ms	(* (- y z) (- t x))
21.0ms	(+ x (/ (* (- y z) (- t x)) (- a z)))
43.0ms	(/ (* (- y z) (- t x)) (- a z))

series414.0ms

Counts

3 → 9

Calls

3 calls:

62.0ms	(* (- y z) (- t x))
193.0ms	(+ x (/ (* (- y z) (- t x)) (- a z)))
158.0ms	(/ (* (- y z) (- t x)) (- a z))

simplify1.8s

Counts

93 → 93

Iterations

Iter	Nodes
done	5001
2	2592
1	481
0	165

prune524.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 6.5b

localize27.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- a z))
0.6b	(cbrt (- a z))
1.9b	(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z))))
10.4b	(+ x (* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z)))))

rewrite106.0ms

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:

3.0ms	(cbrt (- a z))
3.0ms	(cbrt (- a z))
90.0ms	(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z))))
7.0ms	(+ x (* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z)))))

series974.0ms

Counts

4 → 12

Calls

4 calls:

184.0ms	(cbrt (- a z))
181.0ms	(cbrt (- a z))
397.0ms	(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z))))
211.0ms	(+ x (* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z)))))

simplify2.0s

Counts

150 → 150

Iterations

Iter	Nodes
done	5001
2	3417
1	759
0	258

prune1.0s

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 6.5b

localize44.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- a z))
0.6b	(cbrt (- a z))
0.8b	(/ (- y z) (* (/ (cbrt (- a z)) (cbrt (- t x))) (/ (cbrt (- a z)) (cbrt (- t x)))))
11.4b	(+ x (* (/ (- y z) (* (/ (cbrt (- a z)) (cbrt (- t x))) (/ (cbrt (- a z)) (cbrt (- t x))))) (/ (cbrt (- t x)) (cbrt (- a z)))))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-exp-log`
16×	`add-sqr-sqrt` `*-un-lft-identity`
14×	`add-cbrt-cube`
10×	`cbrt-prod`
9×	`cbrt-undiv` `div-exp`
8×	`add-cube-cbrt`
6×	`add-log-exp`
5×	`times-frac` `associate-/l*`
4×	`pow1` `cbrt-div` `prod-exp` `cbrt-unprod` `insert-posit16` `distribute-lft-out--` `difference-of-squares`
3×	`flip3--` `associate-/r/` `flip--`
2×	`pow1/3` `associate-/l/`
1×	`frac-times` `+-commutative` `clear-num` `associate-/r` `sum-log` `frac-2neg` `flip3-+` `div-sub` `associate-l/` `associate-*r/` `flip-+` `div-inv`

Counts

4 → 82

Calls

4 calls:

5.0ms	(cbrt (- a z))
5.0ms	(cbrt (- a z))
32.0ms	(/ (- y z) (* (/ (cbrt (- a z)) (cbrt (- t x))) (/ (cbrt (- a z)) (cbrt (- t x)))))
11.0ms	(+ x (* (/ (- y z) (* (/ (cbrt (- a z)) (cbrt (- t x))) (/ (cbrt (- a z)) (cbrt (- t x))))) (/ (cbrt (- t x)) (cbrt (- a z)))))

series1.1s

Counts

4 → 12

Calls

4 calls:

198.0ms	(cbrt (- a z))
211.0ms	(cbrt (- a z))
506.0ms	(/ (- y z) (* (/ (cbrt (- a z)) (cbrt (- t x))) (/ (cbrt (- a z)) (cbrt (- t x)))))
197.0ms	(+ x (* (/ (- y z) (* (/ (cbrt (- a z)) (cbrt (- t x))) (/ (cbrt (- a z)) (cbrt (- t x))))) (/ (cbrt (- t x)) (cbrt (- a z)))))

simplify1.8s

Counts

94 → 94

Iterations

Iter	Nodes
done	5001
2	1781
1	562
0	215

prune749.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 6.5b

localize72.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- a z))
0.6b	(cbrt (- a z))
0.6b	(cbrt (- a z))
11.3b	(+ x (* (* (/ (* (cbrt (- y z)) (cbrt (- y z))) (/ (cbrt (- a z)) (cbrt (- t x)))) (/ (cbrt (- y z)) (/ (cbrt (- a z)) (cbrt (- t x))))) (/ (cbrt (- t x)) (cbrt (- a z)))))

rewrite24.0ms

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:

4.0ms	(cbrt (- a z))
5.0ms	(cbrt (- a z))
4.0ms	(cbrt (- a z))
10.0ms	(+ x (* (* (/ (* (cbrt (- y z)) (cbrt (- y z))) (/ (cbrt (- a z)) (cbrt (- t x)))) (/ (cbrt (- y z)) (/ (cbrt (- a z)) (cbrt (- t x))))) (/ (cbrt (- t x)) (cbrt (- a z)))))

series857.0ms

Counts

4 → 12

Calls

4 calls:

197.0ms	(cbrt (- a z))
226.0ms	(cbrt (- a z))
201.0ms	(cbrt (- a z))
233.0ms	(+ x (* (* (/ (* (cbrt (- y z)) (cbrt (- y z))) (/ (cbrt (- a z)) (cbrt (- t x)))) (/ (cbrt (- y z)) (/ (cbrt (- a z)) (cbrt (- t x))))) (/ (cbrt (- t x)) (cbrt (- a z)))))

simplify2.5s

Counts

72 → 72

Iterations

Iter	Nodes
done	5000
2	871
1	269
0	113

prune480.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 5.2b

regimes1.2s

Accuracy

27.5% (6.1b remaining)

Error of 9.9b against oracle of 3.7b and baseline of 12.2b

bsearch3.0ms

simplify11.0ms

Iterations

Iter	Nodes
done	50
1	50
0	40

end0.0ms

sample2.0s

Algorithm

intervals

Results

905.0ms	7730×	body	80	valid
236.0ms	475×	body	640	valid
178.0ms	290×	body	1280	valid
176.0ms	418×	body	320	valid
93.0ms	297×	body	160	valid
10.0ms	18×	body	2560	valid