Details

sample49.0ms

Algorithm

intervals

Results

26.0ms

513×

body

valid

simplify5.4s

Counts

1 → 1

Iterations

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

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.5b

localize24.0ms

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))

rewrite127.0ms

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:

18.0ms	(- (* z z) t)
28.0ms	(- (* x x) (* (* y 4.0) (- (* z z) t)))
78.0ms	(* (* y 4.0) (- (* z z) t))

series266.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(- (* z z) t)
124.0ms	(- (* x x) (* (* y 4.0) (- (* z z) t)))
99.0ms	(* (* y 4.0) (- (* z z) t))

simplify1.9s

Counts

90 → 90

Iterations

Iter	Nodes
done	5004
2	1312
1	444
0	151

prune507.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 3 expressions with local error:

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

rewrite124.0ms

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 (* 4.0 y) (- (* x x) (* (* (* 4.0 y) z) z)))
20.0ms	(- (* x x) (* (* (* 4.0 y) z) z))
102.0ms	(* (* (* 4.0 y) z) z)

series305.0ms

Counts

3 → 9

Calls

3 calls:

164.0ms	(fma t (* 4.0 y) (- (* x x) (* (* (* 4.0 y) z) z)))
90.0ms	(- (* x x) (* (* (* 4.0 y) z) z))
50.0ms	(* (* (* 4.0 y) z) z)

simplify1.7s

Counts

61 → 61

Iterations

Iter	Nodes
done	5000
2	930
1	273
0	104

prune448.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize58.0ms

Local error

Found 4 expressions with local error:

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

rewrite343.0ms

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:

103.0ms	(* (cbrt (* (* (* 4.0 y) z) z)) (cbrt (* (* (* 4.0 y) z) z)))
89.0ms	(cbrt (* (* (* 4.0 y) z) z))
66.0ms	(cbrt (* (* (* 4.0 y) z) z))
81.0ms	(cbrt (* (* (* 4.0 y) z) z))

series813.0ms

Counts

4 → 12

Calls

4 calls:

270.0ms	(* (cbrt (* (* (* 4.0 y) z) z)) (cbrt (* (* (* 4.0 y) z) z)))
170.0ms	(cbrt (* (* (* 4.0 y) z) z))
182.0ms	(cbrt (* (* (* 4.0 y) z) z))
190.0ms	(cbrt (* (* (* 4.0 y) z) z))

simplify2.0s

Counts

82 → 82

Iterations

Iter	Nodes
done	5002
3	1632
2	605
1	250
0	101

prune596.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt z) (cbrt z))
0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 85

Calls

4 calls:

30.0ms	(* (cbrt z) (cbrt z))
2.0ms	(cbrt z)
2.0ms	(cbrt z)
2.0ms	(cbrt z)

series1.2s

Counts

4 → 12

Calls

4 calls:

358.0ms	(* (cbrt z) (cbrt z))
332.0ms	(cbrt z)
262.0ms	(cbrt z)
278.0ms	(cbrt z)

simplify3.5s

Counts

97 → 97

Iterations

Iter	Nodes
done	5001
4	4657
3	1110
2	364
1	141
0	67

prune634.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes359.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	14
1	14
0	11

end0.0ms

sample2.2s

Algorithm

intervals

Results

1.8s

15767×

body

valid