Details

sample36.0ms

Algorithm

intervals

Results

17.0ms	273×	body	80	valid
3.0ms	12×	body	640	valid
2.0ms	5×	body	1280	valid
1.0ms	7×	body	320	valid
1.0ms	5×	body	160	valid

simplify4.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
6	2734
5	968
4	364
3	128
2	46
1	23
0	11

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 11.6b

localize21.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- t x) (- a z))
11.7b	(fma (- y z) (/ (- t x) (- a z)) x)

rewrite24.0ms

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:

19.0ms	(/ (- t x) (- a z))
0.0ms	(fma (- y z) (/ (- t x) (- a z)) x)

series180.0ms

Counts

2 → 6

Calls

2 calls:

59.0ms	(/ (- t x) (- a z))
121.0ms	(fma (- y z) (/ (- t x) (- a z)) x)

simplify1.3s

Counts

72 → 72

Iterations

Iter	Nodes
done	5000
3	2273
2	674
1	276
0	120

prune347.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 4.3b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- t x) (- a z))
1.9b	(+ (* (- y z) (/ (- t x) (- a z))) x)
6.5b	(* (- y z) (/ (- t x) (- a z)))

rewrite76.0ms

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:

16.0ms	(/ (- t x) (- a z))
21.0ms	(+ (* (- y z) (/ (- t x) (- a z))) x)
36.0ms	(* (- y z) (/ (- t x) (- a z)))

series424.0ms

Counts

3 → 9

Calls

3 calls:

82.0ms	(/ (- t x) (- a z))
198.0ms	(+ (* (- y z) (/ (- t x) (- a z))) x)
144.0ms	(* (- y z) (/ (- t x) (- a z)))

simplify1.6s

Counts

138 → 138

Iterations

Iter	Nodes
done	5003
2	1810
1	519
0	192

prune580.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 1.5b

localize31.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- t x) (- a z))
11.7b	(fma (- y z) (/ (- t x) (- a z)) x)

rewrite34.0ms

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:

32.0ms	(/ (- t x) (- a z))
1.0ms	(fma (- y z) (/ (- t x) (- a z)) x)

series239.0ms

Counts

2 → 6

Calls

2 calls:

94.0ms	(/ (- t x) (- a z))
145.0ms	(fma (- y z) (/ (- t x) (- a z)) x)

simplify1.5s

Counts

72 → 72

Iterations

Iter	Nodes
done	5000
3	2273
2	674
1	276
0	120

prune352.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 1.5b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (- a z))
0.3b	(* (- t x) (/ 1 (- a z)))
1.9b	(+ (* (- y z) (* (- t x) (/ 1 (- a z)))) x)
6.5b	(* (- y z) (* (- t x) (/ 1 (- a z))))

rewrite183.0ms

Algorithm

rewrite-expression-head

Rules

50×	`add-sqr-sqrt`
44×	`*-un-lft-identity`
32×	`times-frac` `add-exp-log`
25×	`add-cube-cbrt`
22×	`associate-r`
20×	`frac-times` `add-cbrt-cube`
17×	`flip3--` `flip--`
13×	`prod-exp`
12×	`pow1`
10×	`associate-l` `associate-l/` `associate-r/`
9×	`distribute-lft-out--` `difference-of-squares`
7×	`cbrt-unprod`
6×	`div-exp` `add-log-exp`
5×	`associate-/r*`
4×	`expm1-log1p-u` `pow-prod-down` `associate-/r/` `un-div-inv` `insert-posit16` `log1p-expm1-u`
3×	`cbrt-undiv` `rec-exp` `1-exp` `associate-/l*` `unswap-sqr`
2×	`*-commutative` `div-inv`
1×	`+-commutative` `clear-num` `sum-log` `fma-def` `frac-2neg` `flip3-+` `flip-+` `pow-flip` `inv-pow`

Counts

4 → 159

Calls

4 calls:

9.0ms	(/ 1 (- a z))
29.0ms	(* (- t x) (/ 1 (- a z)))
58.0ms	(+ (* (- y z) (* (- t x) (/ 1 (- a z)))) x)
84.0ms	(* (- y z) (* (- t x) (/ 1 (- a z))))

series513.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(/ 1 (- a z))
83.0ms	(* (- t x) (/ 1 (- a z)))
177.0ms	(+ (* (- y z) (* (- t x) (/ 1 (- a z)))) x)
197.0ms	(* (- y z) (* (- t x) (/ 1 (- a z))))

simplify1.7s

Counts

171 → 171

Iterations

Iter	Nodes
done	5001
2	2797
1	625
0	233

prune726.0ms

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 1.5b

regimes611.0ms

Accuracy

27.2% (7.8b remaining)

Error of 11.4b against oracle of 3.7b and baseline of 14.3b

bsearch127.0ms

Steps

Iters	Range		Point
9	1.6578722780370624e+178	4.257764776247382e+185	6.562213605057352e+178
8	-4.675727803216676e+105	-1.0426937022554421e+102	-5.6084778564962155e+104

simplify3.0ms

Iterations

Iter	Nodes
done	24
1	24
0	21

end0.0ms

sample1.8s

Algorithm

intervals

Results

1.0s	7833×	body	80	valid
193.0ms	478×	body	640	valid
143.0ms	265×	body	1280	valid
88.0ms	407×	body	320	valid
36.0ms	240×	body	160	valid
5.0ms	14×	body	2560	valid