Details

sample66.0ms

Algorithm

intervals

Results

28.0ms

513×

body

valid

simplify8.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
7	4088
6	1776
5	748
4	361
3	169
2	51
1	21
0	11

prune33.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.8b

localize45.0ms

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))

rewrite123.0ms

Algorithm

rewrite-expression-head

Rules

16×	`prod-diff`
11×	`add-sqr-sqrt`
10×	`distribute-rgt-in` `distribute-lft-in` `associate--r+`
9×	`*-un-lft-identity` `add-cube-cbrt`
8×	`pow1` `add-cbrt-cube` `add-exp-log`
7×	`add-log-exp`
6×	`sub-neg`
4×	`associate-r`
3×	`expm1-log1p-u` `flip3--` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `flip--`
2×	`fma-neg` `diff-log` `associate-*r/` `difference-of-squares`
1×	`associate-l` `*-commutative`

Counts

3 → 81

Calls

3 calls:

12.0ms	(- (* z z) t)
15.0ms	(- (* x x) (* (* y 4.0) (- (* z z) t)))
90.0ms	(* (* y 4.0) (- (* z z) t))

series341.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(- (* z z) t)
165.0ms	(- (* x x) (* (* y 4.0) (- (* z z) t)))
122.0ms	(* (* y 4.0) (- (* z z) t))

simplify3.7s

Counts

90 → 90

Iterations

Iter	Nodes
done	5000
2	1334
1	449
0	151

prune1.3s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 2.0b

localize54.0ms

Local error

Found 3 expressions with local error:

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

rewrite145.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt` `prod-diff`
8×	`pow1` `add-cbrt-cube` `add-exp-log`
7×	`*-un-lft-identity` `add-cube-cbrt`
5×	`distribute-rgt-in` `distribute-lft-in` `add-log-exp`
4×	`associate-r`
3×	`expm1-log1p-u` `sub-neg` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u`
2×	`flip3--` `associate-*r/` `flip--` `difference-of-squares`
1×	`fma-neg` `diff-log` `associate-l` `*-commutative` `fma-udef`

Counts

3 → 65

Calls

3 calls:

25.0ms	(- (* z z) t)
2.0ms	(fma x x (- (* (* y 4.0) (- (* z z) t))))
111.0ms	(* (* y 4.0) (- (* z z) t))

series410.0ms

Counts

3 → 9

Calls

3 calls:

58.0ms	(- (* z z) t)
211.0ms	(fma x x (- (* (* y 4.0) (- (* z z) t))))
140.0ms	(* (* y 4.0) (- (* z z) t))

simplify7.2s

Counts

74 → 74

Iterations

Iter	Nodes
done	5000
3	4369
2	1035
1	350
0	127

prune809.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 3 expressions with local error:

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

rewrite116.0ms

Algorithm

rewrite-expression-head

Rules

12×	`pow1` `add-cbrt-cube` `add-exp-log`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`add-log-exp`
4×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
3×	`expm1-log1p-u` `associate-r` `insert-posit16` `log1p-expm1-u`
1×	`sub-neg` `flip3--` `fma-neg` `diff-log` `associate-l` `prod-diff` `*-commutative` `fma-udef` `flip--`

Counts

3 → 52

Calls

3 calls:

1.0ms	(fma t (* y 4.0) (- (* x x) (* (* (* y 4.0) z) z)))
16.0ms	(- (* x x) (* (* (* y 4.0) z) z))
97.0ms	(* (* (* y 4.0) z) z)

series521.0ms

Counts

3 → 9

Calls

3 calls:

274.0ms	(fma t (* y 4.0) (- (* x x) (* (* (* y 4.0) z) z)))
186.0ms	(- (* x x) (* (* (* y 4.0) z) z))
61.0ms	(* (* (* y 4.0) z) z)

simplify3.1s

Counts

61 → 61

Iterations

Iter	Nodes
done	5000
2	940
1	271
0	104

prune863.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize127.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (* (* (* y 4.0) z) z)) (cbrt (* (* (* y 4.0) z) z)))
22.2b	(cbrt (* (* (* y 4.0) z) z))
22.2b	(cbrt (* (* (* y 4.0) z) z))
22.2b	(cbrt (* (* (* y 4.0) z) z))

rewrite381.0ms

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×	`expm1-log1p-u` `add-cbrt-cube` `swap-sqr` `associate-r` `associate-l` `insert-posit16` `log1p-expm1-u` `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 → 70

Calls

4 calls:

84.0ms	(* (cbrt (* (* (* y 4.0) z) z)) (cbrt (* (* (* y 4.0) z) z)))
97.0ms	(cbrt (* (* (* y 4.0) z) z))
106.0ms	(cbrt (* (* (* y 4.0) z) z))
91.0ms	(cbrt (* (* (* y 4.0) z) z))

series1.4s

Counts

4 → 12

Calls

4 calls:

421.0ms	(* (cbrt (* (* (* y 4.0) z) z)) (cbrt (* (* (* y 4.0) z) z)))
353.0ms	(cbrt (* (* (* y 4.0) z) z))
312.0ms	(cbrt (* (* (* y 4.0) z) z))
298.0ms	(cbrt (* (* (* y 4.0) z) z))

simplify3.5s

Counts

82 → 82

Iterations

Iter	Nodes
done	5001
3	1637
2	603
1	250
0	101

prune1.5s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes2.2s

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify8.0ms

Iterations

Iter	Nodes
done	14
1	14
0	11

end0.0ms

sample2.7s

Algorithm

intervals

Results

1.1s

15767×

body

valid