Details

sample56.0ms

Algorithm

intervals

Results

34.0ms

262×

body

valid

simplify2.7s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
8	3253
7	1321
6	488
5	206
4	113
3	64
2	39
1	25
0	13

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.6b

localize53.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* y z) x)
0.0b	(- (* t z) x)
0.0b	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
10.4b	(/ (- (* y z) x) (- (* t z) x))

rewrite300.0ms

Algorithm

rewrite-expression-head

Rules

44×	`*-un-lft-identity`
25×	`times-frac`
24×	`add-sqr-sqrt` `add-cube-cbrt`
10×	`distribute-lft-out`
8×	`add-cbrt-cube` `add-exp-log` `add-log-exp`
7×	`associate-/r` `associate-/l`
6×	`prod-diff`
4×	`expm1-log1p-u` `pow1` `flip3--` `associate-/r/` `insert-posit16` `log1p-expm1-u` `flip--` `associate-/l/`
3×	`div-sub`
2×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `flip3-+` `fma-neg` `diff-log` `div-exp` `flip-+` `div-inv`
1×	`associate-+r-`

Counts

4 → 117

Calls

4 calls:

10.0ms	(- (* y z) x)
10.0ms	(- (* t z) x)
216.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
60.0ms	(/ (- (* y z) x) (- (* t z) x))

series374.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(- (* y z) x)
48.0ms	(- (* t z) x)
190.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
100.0ms	(/ (- (* y z) x) (- (* t z) x))

simplify1.9s

Counts

129 → 129

Iterations

Iter	Nodes
done	5000
2	1544
1	499
0	191

prune706.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.5b

localize50.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* z y) x)
0.0b	(- (* t z) x)
0.0b	(/ (+ x (/ (- (* z y) x) (- (* t z) x))) (+ x 1.0))
10.4b	(/ (- (* z y) x) (- (* t z) x))

rewrite317.0ms

Algorithm

rewrite-expression-head

Rules

44×	`*-un-lft-identity`
25×	`times-frac`
24×	`add-sqr-sqrt` `add-cube-cbrt`
10×	`distribute-lft-out`
8×	`add-cbrt-cube` `add-exp-log` `add-log-exp`
7×	`associate-/r` `associate-/l`
6×	`prod-diff`
4×	`expm1-log1p-u` `pow1` `flip3--` `associate-/r/` `insert-posit16` `log1p-expm1-u` `flip--` `associate-/l/`
3×	`div-sub`
2×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `flip3-+` `fma-neg` `diff-log` `div-exp` `flip-+` `div-inv`
1×	`associate-+r-`

Counts

4 → 117

Calls

4 calls:

10.0ms	(- (* z y) x)
9.0ms	(- (* t z) x)
228.0ms	(/ (+ x (/ (- (* z y) x) (- (* t z) x))) (+ x 1.0))
66.0ms	(/ (- (* z y) x) (- (* t z) x))

series489.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(- (* z y) x)
48.0ms	(- (* t z) x)
250.0ms	(/ (+ x (/ (- (* z y) x) (- (* t z) x))) (+ x 1.0))
130.0ms	(/ (- (* z y) x) (- (* t z) x))

simplify1.9s

Counts

129 → 129

Iterations

Iter	Nodes
done	5000
2	1541
1	495
0	189

prune660.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.5b

localize41.0ms

Local error

Found 4 expressions with local error:

6.7b	(cbrt (- (* t z) x))
6.7b	(cbrt (- (* t z) x))
6.7b	(cbrt (- (* t z) x))
10.4b	(/ (- (* y z) x) (* (* (cbrt (- (* t z) x)) (cbrt (- (* t z) x))) (cbrt (- (* t z) x))))

rewrite186.0ms

Algorithm

rewrite-expression-head

Rules

60×	`cbrt-div`
31×	`flip3--` `flip--`
28×	`frac-times`
26×	`associate-/r/`
14×	`associate-*l/`
13×	`add-exp-log`
9×	`cbrt-prod` `add-sqr-sqrt` `*-un-lft-identity` `add-cbrt-cube` `add-cube-cbrt`
8×	`associate-*r/`
4×	`expm1-log1p-u` `pow1` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `times-frac` `pow1/3` `div-exp` `prod-exp` `cbrt-unprod` `associate-/l*`
2×	`associate-/l/`
1×	`clear-num` `associate-/r*` `frac-2neg` `div-sub` `div-inv`

Counts

4 → 103

Calls

4 calls:

6.0ms	(cbrt (- (* t z) x))
6.0ms	(cbrt (- (* t z) x))
8.0ms	(cbrt (- (* t z) x))
162.0ms	(/ (- (* y z) x) (* (* (cbrt (- (* t z) x)) (cbrt (- (* t z) x))) (cbrt (- (* t z) x))))

series660.0ms

Counts

4 → 12

Calls

4 calls:

212.0ms	(cbrt (- (* t z) x))
201.0ms	(cbrt (- (* t z) x))
178.0ms	(cbrt (- (* t z) x))
70.0ms	(/ (- (* y z) x) (* (* (cbrt (- (* t z) x)) (cbrt (- (* t z) x))) (cbrt (- (* t z) x))))

simplify2.5s

Counts

115 → 115

Iterations

Iter	Nodes
done	5000
3	4641
2	1485
1	542
0	188

prune716.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.5b

localize101.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ x (/ (- (* y z) x) (- (* t z) x)))) (cbrt (+ x (/ (- (* y z) x) (- (* t z) x)))))
10.4b	(/ (- (* y z) x) (- (* t z) x))
10.4b	(/ (- (* y z) x) (- (* t z) x))
10.4b	(/ (- (* y z) x) (- (* t z) x))

rewrite491.0ms

Algorithm

rewrite-expression-head

Rules

50×	`*-un-lft-identity`
44×	`add-sqr-sqrt`
36×	`add-cube-cbrt`
27×	`times-frac`
24×	`cbrt-prod`
12×	`cbrt-div` `add-exp-log`
11×	`pow1`
10×	`add-cbrt-cube`
9×	`associate-/r` `swap-sqr` `associate-/l`
7×	`associate-r` `associate-l`
6×	`flip3-+` `flip3--` `pow1/3` `associate-/r/` `flip-+` `flip--` `distribute-lft-out` `associate-/l/`
4×	`expm1-log1p-u` `frac-times` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`cbrt-undiv` `clear-num` `frac-2neg` `div-sub` `div-exp` `div-inv`
2×	`pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 161

Calls

4 calls:

355.0ms	(* (cbrt (+ x (/ (- (* y z) x) (- (* t z) x)))) (cbrt (+ x (/ (- (* y z) x) (- (* t z) x)))))
57.0ms	(/ (- (* y z) x) (- (* t z) x))
34.0ms	(/ (- (* y z) x) (- (* t z) x))
39.0ms	(/ (- (* y z) x) (- (* t z) x))

series537.0ms

Counts

4 → 12

Calls

4 calls:

270.0ms	(* (cbrt (+ x (/ (- (* y z) x) (- (* t z) x)))) (cbrt (+ x (/ (- (* y z) x) (- (* t z) x)))))
95.0ms	(/ (- (* y z) x) (- (* t z) x))
88.0ms	(/ (- (* y z) x) (- (* t z) x))
83.0ms	(/ (- (* y z) x) (- (* t z) x))

simplify2.5s

Counts

173 → 173

Iterations

Iter	Nodes
done	5000
3	4169
2	1240
1	413
0	170

prune1.2s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.5b

regimes344.0ms

Accuracy

58.3% (2.5b remaining)

Error of 3.4b against oracle of 0.9b and baseline of 6.8b

bsearch126.0ms

Steps

Iters	Range		Point
8	7.127926419879239e+106	4.046829271144574e+111	2.2939420975234537e+108
7	-1.7986711450963914e+79	-4.346986454969115e+77	-1.705982485713477e+79

simplify7.0ms

Iterations

Iter	Nodes
done	30
1	30
0	22

end0.0ms

sample1.5s

Algorithm

intervals

Results

1.2s

8319×

body

valid