Details

sample41.0ms

Algorithm

intervals

Results

17.0ms	265×	body	80	valid
4.0ms	14×	body	640	valid
3.0ms	10×	body	1280	valid
2.0ms	14×	body	320	valid
1.0ms	5×	body	160	valid

simplify2.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
6	1910
5	805
4	299
3	108
2	43
1	20
0	11

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 10.3b

localize33.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- t x) (- a z))
13.5b	(fma (/ (- t x) (- a z)) (- y z) x)

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt` `*-un-lft-identity`
25×	`times-frac`
14×	`add-cube-cbrt`
12×	`distribute-lft-out--` `difference-of-squares`
5×	`associate-/r` `associate-/l`
4×	`add-cbrt-cube` `add-exp-log`
2×	`expm1-log1p-u` `pow1` `flip3--` `associate-/r/` `insert-posit16` `log1p-expm1-u` `flip--` `add-log-exp` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-sub` `div-exp` `fma-udef` `div-inv`

Counts

2 → 66

Calls

2 calls:

24.0ms	(/ (- t x) (- a z))
0.0ms	(fma (/ (- t x) (- a z)) (- y z) x)

series212.0ms

Counts

2 → 6

Calls

2 calls:

98.0ms	(/ (- t x) (- a z))
114.0ms	(fma (/ (- t x) (- a z)) (- y z) x)

simplify1.7s

Counts

72 → 72

Iterations

Iter	Nodes
done	5002
3	2212
2	671
1	276
0	120

prune384.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 7.0b

localize28.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- t x) (- a z))
2.2b	(+ (* (/ (- t x) (- a z)) (- y z)) x)
5.5b	(* (/ (- t x) (- a z)) (- y z))

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

102×	`add-sqr-sqrt`
97×	`*-un-lft-identity`
51×	`times-frac` `add-cube-cbrt`
36×	`prod-diff`
31×	`associate-l`
23×	`distribute-lft-out--` `difference-of-squares`
22×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in`
10×	`add-cbrt-cube` `add-exp-log`
5×	`pow1` `associate-/r` `flip3--` `associate-r` `flip--` `associate-/l` `add-log-exp`
4×	`sub-neg` `associate-/r/`
3×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
2×	`frac-times` `cbrt-undiv` `div-exp` `prod-exp` `associate-*r/` `cbrt-unprod` `div-inv` `unswap-sqr` `associate-/l/`
1×	`+-commutative` `clear-num` `sum-log` `fma-def` `frac-2neg` `flip3-+` `div-sub` `pow-prod-down` `associate-l/` `-commutative` `flip-+`

Counts

3 → 173

Calls

3 calls:

16.0ms	(/ (- t x) (- a z))
18.0ms	(+ (* (/ (- t x) (- a z)) (- y z)) x)
41.0ms	(* (/ (- t x) (- a z)) (- y z))

series530.0ms

Counts

3 → 9

Calls

3 calls:

70.0ms	(/ (- t x) (- a z))
191.0ms	(+ (* (/ (- t x) (- a z)) (- y z)) x)
269.0ms	(* (/ (- t x) (- a z)) (- y z))

simplify1.7s

Counts

182 → 182

Iterations

Iter	Nodes
done	5001
2	1976
1	715
0	259

prune1.0s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 7.0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- y z) (- a z))
1.7b	(+ (* (- t x) (/ (- y z) (- a z))) x)
2.6b	(* (- t x) (/ (- y z) (- a z)))

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

78×	`add-sqr-sqrt`
73×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-r`
27×	`add-cube-cbrt`
23×	`distribute-lft-out--` `difference-of-squares`
10×	`add-cbrt-cube` `add-exp-log`
5×	`pow1` `associate-/r` `flip3--` `associate-l` `flip--` `associate-/l` `add-log-exp`
4×	`associate-/r/`
3×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
2×	`frac-times` `cbrt-undiv` `div-exp` `associate-*l/` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr` `associate-/l/`
1×	`+-commutative` `clear-num` `sum-log` `fma-def` `frac-2neg` `flip3-+` `div-sub` `pow-prod-down` `associate-r/` `-commutative` `flip-+`

Counts

3 → 129

Calls

3 calls:

20.0ms	(/ (- y z) (- a z))
25.0ms	(+ (* (- t x) (/ (- y z) (- a z))) x)
36.0ms	(* (- t x) (/ (- y z) (- a z)))

series441.0ms

Counts

3 → 9

Calls

3 calls:

62.0ms	(/ (- y z) (- a z))
232.0ms	(+ (* (- t x) (/ (- y z) (- a z))) x)
147.0ms	(* (- t x) (/ (- y z) (- a z)))

simplify2.0s

Counts

138 → 138

Iterations

Iter	Nodes
done	5001
2	1765
1	520
0	192

prune798.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 3.3b

localize34.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- y z) (- a z))
2.8b	(fma (- t x) (/ (- y z) (- a z)) x)

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt` `*-un-lft-identity`
25×	`times-frac`
14×	`add-cube-cbrt`
12×	`distribute-lft-out--` `difference-of-squares`
5×	`associate-/r` `associate-/l`
4×	`add-cbrt-cube` `add-exp-log`
2×	`expm1-log1p-u` `pow1` `flip3--` `associate-/r/` `insert-posit16` `log1p-expm1-u` `flip--` `add-log-exp` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-sub` `div-exp` `fma-udef` `div-inv`

Counts

2 → 66

Calls

2 calls:

33.0ms	(/ (- y z) (- a z))
1.0ms	(fma (- t x) (/ (- y z) (- a z)) x)

series325.0ms

Counts

2 → 6

Calls

2 calls:

96.0ms	(/ (- y z) (- a z))
229.0ms	(fma (- t x) (/ (- y z) (- a z)) x)

simplify1.7s

Counts

72 → 72

Iterations

Iter	Nodes
done	5001
3	2105
2	670
1	273
0	118

prune325.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 3.3b

regimes698.0ms

Accuracy

18.1% (6.8b remaining)

Error of 10.2b against oracle of 3.4b and baseline of 11.7b

bsearch200.0ms

Steps

Iters	Range		Point
10	6.145134248778063e-131	5.943651067144963e-117	9.28745641578995e-118
9	-1.2588312380142568e-210	-3.380390538637186e-216	-1.245100240535762e-210

simplify9.0ms

Iterations

Iter	Nodes
done	33
1	33
0	28

end0.0ms

sample2.0s

Algorithm

intervals

Results

963.0ms	7739×	body	80	valid
226.0ms	277×	body	1280	valid
215.0ms	486×	body	640	valid
191.0ms	410×	body	320	valid
57.0ms	279×	body	160	valid
3.0ms	6×	body	2560	valid