Details

sample61.0ms

Algorithm

intervals

Results

37.0ms

526×

body

valid

simplify3.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
5	1844
4	493
3	171
2	52
1	21
0	11

prune21.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.6b

localize29.0ms

Local error

Found 3 expressions with local error:

0.0b	(- t (* z z))
0.0b	(fma 4.0 (* (- t (* z z)) y) (* x x))
7.1b	(* (- t (* z z)) y)

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 54

Calls

3 calls:

5.0ms	(- t (* z z))
0.0ms	(fma 4.0 (* (- t (* z z)) y) (* x x))
16.0ms	(* (- t (* z z)) y)

series262.0ms

Counts

3 → 9

Calls

3 calls:

57.0ms	(- t (* z z))
139.0ms	(fma 4.0 (* (- t (* z z)) y) (* x x))
65.0ms	(* (- t (* z z)) y)

simplify933.0ms

Counts

63 → 63

Iterations

Iter	Nodes
done	5001
2	862
1	215
0	93

prune406.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 3.1b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma x x (* (* y 4.0) (- t (* z z))))
0.0b	(- t (* z z))
7.1b	(* (* y 4.0) (- t (* z z)))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 64

Calls

3 calls:

0.0ms	(fma x x (* (* y 4.0) (- t (* z z))))
10.0ms	(- t (* z z))
38.0ms	(* (* y 4.0) (- t (* z z)))

series325.0ms

Counts

3 → 9

Calls

3 calls:

134.0ms	(fma x x (* (* y 4.0) (- t (* z z))))
64.0ms	(- t (* z z))
128.0ms	(* (* y 4.0) (- t (* z z)))

simplify1.7s

Counts

73 → 73

Iterations

Iter	Nodes
done	5001
2	1954
1	312
0	109

prune514.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 3.1b

localize24.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma x x (+ (* (* y 4.0) t) (* (* y 4.0) (- (* z z)))))
0.0b	(+ (* (* y 4.0) t) (* (* y 4.0) (- (* z z))))
10.6b	(* (* y 4.0) (- (* z z)))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

8×	`pow1` `add-cbrt-cube` `add-exp-log`
6×	`associate-r`
5×	`add-log-exp`
4×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
3×	`expm1-log1p-u` `pow-prod-down` `prod-exp` `distribute-rgt-neg-out` `cbrt-unprod` `log1p-expm1-u`
1×	`distribute-lft-neg-in` `+-commutative` `neg-mul-1` `sum-log` `fma-def` `distribute-rgt-neg-in` `flip3-+` `associate-l` `unsub-neg` `*-commutative` `flip-+` `fma-udef` `distribute-lft-out`

Counts

3 → 51

Calls

3 calls:

0.0ms	(fma x x (+ (* (* y 4.0) t) (* (* y 4.0) (- (* z z)))))
16.0ms	(+ (* (* y 4.0) t) (* (* y 4.0) (- (* z z))))
20.0ms	(* (* y 4.0) (- (* z z)))

series412.0ms

Counts

3 → 9

Calls

3 calls:

195.0ms	(fma x x (+ (* (* y 4.0) t) (* (* y 4.0) (- (* z z)))))
166.0ms	(+ (* (* y 4.0) t) (* (* y 4.0) (- (* z z))))
51.0ms	(* (* y 4.0) (- (* z z)))

simplify2.0s

Counts

60 → 60

Iterations

Iter	Nodes
done	5001
2	1760
1	280
0	97

prune447.0ms

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 x x (+ (* (* y 4.0) t) (* (* (* y 4.0) (- z)) z)))
0.0b	(+ (* (* y 4.0) t) (* (* (* y 4.0) (- z)) z))
0.1b	(* (* (* y 4.0) (- z)) z)

rewrite126.0ms

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×	`distribute-lft-neg-out` `expm1-log1p-u` `associate-r` `distribute-rgt-neg-out` `log1p-expm1-u`
1×	`+-commutative` `sum-log` `fma-def` `flip3-+` `associate-l` `unsub-neg` `*-commutative` `flip-+` `fma-udef`

Counts

3 → 50

Calls

3 calls:

0.0ms	(fma x x (+ (* (* y 4.0) t) (* (* (* y 4.0) (- z)) z)))
27.0ms	(+ (* (* y 4.0) t) (* (* (* y 4.0) (- z)) z))
96.0ms	(* (* (* y 4.0) (- z)) z)

series371.0ms

Counts

3 → 9

Calls

3 calls:

143.0ms	(fma x x (+ (* (* y 4.0) t) (* (* (* y 4.0) (- z)) z)))
161.0ms	(+ (* (* y 4.0) t) (* (* (* y 4.0) (- z)) z))
66.0ms	(* (* (* y 4.0) (- z)) z)

simplify2.4s

Counts

59 → 59

Iterations

Iter	Nodes
done	5000
2	1839
1	298
0	104

prune337.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

regimes438.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify7.0ms

Iterations

Iter	Nodes
done	33
3	33
2	24
1	16
0	11

end0.0ms

sample1.8s

Algorithm

intervals

Results

1.2s

15817×

body

valid