Details

sample68.0ms

Algorithm

intervals

Results

23.0ms

513×

body

valid

simplify7.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
9	4506
8	3719
7	2357
6	930
5	420
4	303
3	156
2	49
1	19
0	11

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.8b

localize39.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* z z) t)
0.0b	(- (* x x) (* (* y 4.0) (- (* z z) t)))
4.6b	(* (* y 4.0) (- (* z z) t))

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

8×	`pow1` `add-cbrt-cube` `add-exp-log`
7×	`add-log-exp`
6×	`add-sqr-sqrt` `sub-neg`
4×	`distribute-rgt-in` `-un-lft-identity` `distribute-lft-in` `associate-r*` `add-cube-cbrt` `associate--r+`
3×	`flip3--` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16` `flip--`
2×	`diff-log` `associate-*r/` `difference-of-squares`
1×	`associate-l` `*-commutative`

Counts

3 → 57

Calls

3 calls:

11.0ms	(- (* z z) t)
12.0ms	(- (* x x) (* (* y 4.0) (- (* z z) t)))
65.0ms	(* (* y 4.0) (- (* z z) t))

series343.0ms

Counts

3 → 9

Calls

3 calls:

31.0ms	(- (* z z) t)
169.0ms	(- (* x x) (* (* y 4.0) (- (* z z) t)))
143.0ms	(* (* y 4.0) (- (* z z) t))

simplify3.1s

Counts

66 → 66

Iterations

Iter	Nodes
done	5000
2	1070
1	314
0	106

prune809.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (* x x) (* (* t y) 4.0)) (* 4.0 (* z (* z y))))
0.0b	(* 4.0 (* z (* z y)))
0.0b	(* (* t y) 4.0)
0.2b	(* z (* z y))

rewrite258.0ms

Algorithm

rewrite-expression-head

Rules

23×	`pow1` `add-cbrt-cube` `add-exp-log`
12×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`add-log-exp`
7×	`add-sqr-sqrt` `-un-lft-identity` `associate-l*` `add-cube-cbrt`
5×	`associate-r`
4×	`insert-posit16`
3×	`*-commutative`
2×	`diff-log`
1×	`sum-log` `sub-neg` `flip3--` `associate--l+` `flip--`

Counts

4 → 75

Calls

4 calls:

125.0ms	(- (+ (* x x) (* (* t y) 4.0)) (* 4.0 (* z (* z y))))
64.0ms	(* 4.0 (* z (* z y)))
36.0ms	(* (* t y) 4.0)
24.0ms	(* z (* z y))

series317.0ms

Counts

4 → 12

Calls

4 calls:

188.0ms	(- (+ (* x x) (* (* t y) 4.0)) (* 4.0 (* z (* z y))))
35.0ms	(* 4.0 (* z (* z y)))
48.0ms	(* (* t y) 4.0)
45.0ms	(* z (* z y))

simplify3.3s

Counts

87 → 87

Iterations

Iter	Nodes
done	5002
2	1373
1	339
0	121

prune1.1s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize181.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (* z (* z y))) (cbrt (* z (* z y))))
22.3b	(cbrt (* z (* z y)))
22.3b	(cbrt (* z (* z y)))
22.3b	(cbrt (* z (* z y)))

rewrite135.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`*-un-lft-identity` `add-cube-cbrt`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`add-cbrt-cube` `swap-sqr` `associate-r` `associate-l` `insert-posit16` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 62

Calls

4 calls:

48.0ms	(* (cbrt (* z (* z y))) (cbrt (* z (* z y))))
28.0ms	(cbrt (* z (* z y)))
28.0ms	(cbrt (* z (* z y)))
28.0ms	(cbrt (* z (* z y)))

series921.0ms

Counts

4 → 12

Calls

4 calls:

285.0ms	(* (cbrt (* z (* z y))) (cbrt (* z (* z y))))
215.0ms	(cbrt (* z (* z y)))
189.0ms	(cbrt (* z (* z y)))
231.0ms	(cbrt (* z (* z y)))

simplify8.2s

Counts

74 → 74

Iterations

Iter	Nodes
done	5001
4	4657
3	1329
2	552
1	218
0	88

prune1.1s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize152.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
12.5b	(cbrt (* z y))
22.3b	(cbrt (* z (* z y)))
22.3b	(cbrt (* z (* z y)))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

6×	`cbrt-prod`
5×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `insert-posit16` `add-log-exp`

Counts

4 → 42

Calls

4 calls:

2.0ms	(cbrt z)
5.0ms	(cbrt (* z y))
19.0ms	(cbrt (* z (* z y)))
22.0ms	(cbrt (* z (* z y)))

series955.0ms

Counts

4 → 12

Calls

4 calls:

303.0ms	(cbrt z)
173.0ms	(cbrt (* z y))
249.0ms	(cbrt (* z (* z y)))
230.0ms	(cbrt (* z (* z y)))

simplify5.7s

Counts

54 → 54

Iterations

Iter	Nodes
done	5000
4	3365
3	962
2	334
1	166
0	79

prune872.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0.0b

regimes2.9s

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify11.0ms

Iterations

Iter	Nodes
done	19
1	19
0	13

end0.0ms

sample2.5s

Algorithm

intervals

Results

1.4s

15767×

body

valid