Details

sample98.0ms

Algorithm

intervals

Results

55.0ms

501×

body

valid

simplify5.1s

Counts

1 → 1

Iterations

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

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.6b

localize29.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* z z) t)
0.0b	(- (* x x) (* (* y 4.0) (- (* z z) t)))
3.6b	(* (* y 4.0) (- (* z z) t))

rewrite71.0ms

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:

14.0ms	(- (* z z) t)
15.0ms	(- (* x x) (* (* y 4.0) (- (* z z) t)))
41.0ms	(* (* y 4.0) (- (* z z) t))

series289.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(- (* z z) t)
154.0ms	(- (* x x) (* (* y 4.0) (- (* z z) t)))
88.0ms	(* (* y 4.0) (- (* z z) t))

simplify1.6s

Counts

90 → 90

Iterations

Iter	Nodes
done	5004
2	1312
1	444
0	151

prune446.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

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)

rewrite70.0ms

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:

0.0ms	(fma t (* 4.0 y) (- (* x x) (* (* (* 4.0 y) z) z)))
8.0ms	(- (* x x) (* (* (* 4.0 y) z) z))
61.0ms	(* (* (* 4.0 y) z) z)

series272.0ms

Counts

3 → 9

Calls

3 calls:

143.0ms	(fma t (* 4.0 y) (- (* x x) (* (* (* 4.0 y) z) z)))
85.0ms	(- (* x x) (* (* (* 4.0 y) z) z))
44.0ms	(* (* (* 4.0 y) z) z)

simplify1.4s

Counts

61 → 61

Iterations

Iter	Nodes
done	5000
2	930
1	273
0	104

prune254.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (* (* (* 4.0 y) z) z)) (cbrt (* (* (* 4.0 y) z) z)))
18.7b	(cbrt (* (* (* 4.0 y) z) z))
18.7b	(cbrt (* (* (* 4.0 y) z) z))
18.7b	(cbrt (* (* (* 4.0 y) z) z))

rewrite195.0ms

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:

80.0ms	(* (cbrt (* (* (* 4.0 y) z) z)) (cbrt (* (* (* 4.0 y) z) z)))
45.0ms	(cbrt (* (* (* 4.0 y) z) z))
35.0ms	(cbrt (* (* (* 4.0 y) z) z))
34.0ms	(cbrt (* (* (* 4.0 y) z) z))

series674.0ms

Counts

4 → 12

Calls

4 calls:

190.0ms	(* (cbrt (* (* (* 4.0 y) z) z)) (cbrt (* (* (* 4.0 y) z) z)))
157.0ms	(cbrt (* (* (* 4.0 y) z) z))
173.0ms	(cbrt (* (* (* 4.0 y) z) z))
154.0ms	(cbrt (* (* (* 4.0 y) z) z))

simplify1.6s

Counts

82 → 82

Iterations

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

prune549.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize61.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
9.0b	(cbrt (* (* 4.0 y) z))
9.0b	(cbrt (* (* 4.0 y) z))
18.7b	(cbrt (* (* (* 4.0 y) z) z))

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

6×	`cbrt-prod`
5×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

4 → 50

Calls

4 calls:

1.0ms	(cbrt z)
22.0ms	(cbrt (* (* 4.0 y) z))
20.0ms	(cbrt (* (* 4.0 y) z))
41.0ms	(cbrt (* (* (* 4.0 y) z) z))

series746.0ms

Counts

4 → 12

Calls

4 calls:

259.0ms	(cbrt z)
133.0ms	(cbrt (* (* 4.0 y) z))
141.0ms	(cbrt (* (* 4.0 y) z))
213.0ms	(cbrt (* (* (* 4.0 y) z) z))

simplify2.4s

Counts

62 → 62

Iterations

Iter	Nodes
done	5000
4	3924
3	1125
2	389
1	193
0	95

prune493.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes309.0ms

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

sample2.7s

Algorithm

intervals

Results

1.8s

15631×

body

valid