Details

sample69.0ms

Algorithm

intervals

Results

35.0ms	256×	body	80	valid
17.0ms	256×	pre	80	true

simplify6.6s

Counts

1 → 1

Iterations

Iter	Nodes
8	3449
7	1366
6	799
5	457
4	220
3	107
2	50
1	23
0	9

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.4b

localize36.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma y y (* x x))
18.4b	(/ (* (+ x y) (- x y)) (fma y y (* x x)))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

8×	`associate-/l/`
7×	`add-cbrt-cube` `add-exp-log`
4×	`add-sqr-sqrt` `frac-times` `*-un-lft-identity` `add-cube-cbrt`
3×	`associate-/r*` `flip3-+` `times-frac` `flip3--` `flip-+` `flip--`
2×	`expm1-log1p-u` `pow1` `cbrt-undiv` `div-exp` `associate-l/` `associate-r/` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`clear-num` `frac-2neg` `prod-exp` `cbrt-unprod` `fma-udef` `div-inv` `associate-/l*`

Counts

2 → 43

Calls

2 calls:

0.0ms	(fma y y (* x x))
44.0ms	(/ (* (+ x y) (- x y)) (fma y y (* x x)))

series147.0ms

Counts

2 → 6

Calls

2 calls:

52.0ms	(fma y y (* x x))
96.0ms	(/ (* (+ x y) (- x y)) (fma y y (* x x)))

simplify2.0s

Counts

49 → 49

Iterations

Iter	Nodes
3	5212
2	1001
1	254
0	81

prune224.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.5b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma y y (* x x))
0.0b	(exp (/ (* (+ x y) (- x y)) (fma y y (* x x))))
0.0b	(log (exp (/ (* (+ x y) (- x y)) (fma y y (* x x)))))
18.4b	(/ (* (+ x y) (- x y)) (fma y y (* x x)))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

14×	`exp-prod`
11×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac` `add-cbrt-cube` `add-exp-log`
8×	`log-pow` `associate-/l/`
5×	`pow1` `add-log-exp`
4×	`expm1-log1p-u` `frac-times` `insert-posit16` `log1p-expm1-u`
3×	`log-prod` `associate-/r*` `flip3-+` `flip3--` `flip-+` `div-inv` `flip--`
2×	`cbrt-undiv` `div-exp` `associate-l/` `associate-r/`
1×	`clear-num` `frac-2neg` `rem-log-exp` `prod-exp` `cbrt-unprod` `fma-udef` `associate-/l*` `rem-exp-log`

Counts

4 → 83

Calls

4 calls:

0.0ms	(fma y y (* x x))
4.0ms	(exp (/ (* (+ x y) (- x y)) (fma y y (* x x))))
7.0ms	(log (exp (/ (* (+ x y) (- x y)) (fma y y (* x x)))))
23.0ms	(/ (* (+ x y) (- x y)) (fma y y (* x x)))

series362.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(fma y y (* x x))
134.0ms	(exp (/ (* (+ x y) (- x y)) (fma y y (* x x))))
80.0ms	(log (exp (/ (* (+ x y) (- x y)) (fma y y (* x x)))))
89.0ms	(/ (* (+ x y) (- x y)) (fma y y (* x x)))

simplify1.9s

Counts

95 → 95

Iterations

Iter	Nodes
3	5096
2	1046
1	309
0	121

prune526.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.5b

localize1.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Iter	Nodes
1	0
0	0

prune4.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.5b

localize1.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Iter	Nodes
1	0
0	0

prune1.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.5b

regimes162.0ms

Accuracy

75.8% (4.8b remaining)

Error of 5.3b against oracle of 0.5b and baseline of 20.3b

bsearch142.0ms

Steps

Iters	Range	Point
11	3.200664715459362e-185	4.0921714768388896e-165	4.0567724911730275e-165
5	-8.688890032834335e-156	-3.6517286354672326e-156	-6.704752375070274e-156
8	-3.407067328853733e+156	-2.9230384601346835e+152	-1.3379792666689724e+154

Iters

Range

Point

3.200664715459362e-185

4.0921714768388896e-165

4.0567724911730275e-165

-8.688890032834335e-156

-3.6517286354672326e-156

-6.704752375070274e-156

-3.407067328853733e+156

-2.9230384601346835e+152

-1.3379792666689724e+154

simplify4.0ms

Iterations

Iter	Nodes
2	26
1	26
0	21

end0.0ms

sample1.5s

Algorithm

intervals

Results

924.0ms	8000×	body	80	valid
342.0ms	8000×	pre	80	true