Details

sample166.0ms

Algorithm

intervals

Results

123.0ms

584×

body

valid

simplify1.2s

Counts

1 → 1

Iterations

Iter	Nodes
5	2500
4	907
3	333
2	110
1	47
0	23

prune22.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.5b

localize47.0ms

Local error

Found 4 expressions with local error:

0.3b	(- (* y z) (* t a))
4.9b	(* j (- (* c t) (* i y)))
5.4b	(* x (- (* y z) (* t a)))
5.4b	(* b (- (* c z) (* i a)))

rewrite118.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 104

Calls

4 calls:

12.0ms	(- (* y z) (* t a))
36.0ms	(* j (- (* c t) (* i y)))
25.0ms	(* x (- (* y z) (* t a)))
44.0ms	(* b (- (* c z) (* i a)))

series387.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(- (* y z) (* t a))
117.0ms	(* j (- (* c t) (* i y)))
106.0ms	(* x (- (* y z) (* t a)))
107.0ms	(* b (- (* c z) (* i a)))

simplify1.6s

Counts

116 → 116

Iterations

Iter	Nodes
3	4703
2	1394
1	491
0	203

prune2.1s

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 9.0b

localize76.0ms

Local error

Found 4 expressions with local error:

4.9b	(* j (- (* c t) (* i y)))
5.4b	(* x (- (* y z) (* t a)))
5.4b	(* (fma c z (- (* a i))) b)
52.0b	(fma (- a) i (* a i))

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 90

Calls

4 calls:

41.0ms	(* j (- (* c t) (* i y)))
41.0ms	(* x (- (* y z) (* t a)))
11.0ms	(* (fma c z (- (* a i))) b)
0.0ms	(fma (- a) i (* a i))

series387.0ms

Counts

4 → 12

Calls

4 calls:

117.0ms	(* j (- (* c t) (* i y)))
126.0ms	(* x (- (* y z) (* t a)))
104.0ms	(* (fma c z (- (* a i))) b)
40.0ms	(fma (- a) i (* a i))

simplify1.3s

Counts

102 → 102

Iterations

Iter	Nodes
3	4074
2	1146
1	408
0	182

prune2.5s

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 7.3b

localize93.0ms

Local error

Found 4 expressions with local error:

5.4b	(* x (* y z))
5.4b	(* (fma c z (- (* a i))) b)
5.6b	(* t (* x (- a)))
52.0b	(fma (- a) i (* a i))

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1` `add-cbrt-cube` `add-exp-log`
10×	`add-sqr-sqrt`
9×	`associate-l`
8×	`*-un-lft-identity` `add-cube-cbrt`
7×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`associate-r`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative`
2×	`distribute-rgt-neg-out`
1×	`fma-udef` `unswap-sqr`

Counts

4 → 75

Calls

4 calls:

23.0ms	(* x (* y z))
9.0ms	(* (fma c z (- (* a i))) b)
37.0ms	(* t (* x (- a)))
0.0ms	(fma (- a) i (* a i))

series264.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(* x (* y z))
123.0ms	(* (fma c z (- (* a i))) b)
50.0ms	(* t (* x (- a)))
47.0ms	(fma (- a) i (* a i))

simplify1.1s

Counts

87 → 87

Iterations

Iter	Nodes
3	3630
2	955
1	303
0	136

prune2.1s

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 6.2b

localize116.0ms

Local error

Found 4 expressions with local error:

4.9b	(* j (- (* c t) (* i y)))
5.4b	(* x (* y z))
5.4b	(* (fma c z (- (* a i))) b)
52.0b	(fma (- a) i (* a i))

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 82

Calls

4 calls:

23.0ms	(* j (- (* c t) (* i y)))
41.0ms	(* x (* y z))
11.0ms	(* (fma c z (- (* a i))) b)
1.0ms	(fma (- a) i (* a i))

series349.0ms

Counts

4 → 12

Calls

4 calls:

128.0ms	(* j (- (* c t) (* i y)))
52.0ms	(* x (* y z))
122.0ms	(* (fma c z (- (* a i))) b)
47.0ms	(fma (- a) i (* a i))

simplify1.3s

Counts

94 → 94

Iterations

Iter	Nodes
3	3712
2	1044
1	352
0	160

prune1.9s

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 6.1b

regimes2.4s

Accuracy

50.1% (3.1b remaining)

Error of 9.0b against oracle of 5.9b and baseline of 12.1b

bsearch427.0ms

Steps

Iters	Range		Point
7	670884.1651317889	52475732.784842156	1657435.9979234417
10	-3.378156837002923e-64	-1.4546303182589007e-77	-9.562565391962512e-68

simplify18.0ms

Iterations

Iter	Nodes
4	91
3	91
2	84
1	78
0	51

end0.0ms

sample7.1s

Algorithm

intervals

Results

5.3s

19087×

body

valid