Details

sample32.0ms

Algorithm

intervals

Results

11.0ms	237×	body	80	valid
3.0ms	16×	body	640	valid
2.0ms	18×	body	320	valid
1.0ms	7×	body	1280	valid
1.0ms	4×	body	2560	valid
1.0ms	11×	body	160	valid

simplify3.1s

Counts

1 → 1

Iterations

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

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 13.0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- t x) (- a z))
15.8b	(fma (/ (- t x) (- a z)) (- y z) x)

rewrite30.0ms

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:

26.0ms	(/ (- t x) (- a z))
0.0ms	(fma (/ (- t x) (- a z)) (- y z) x)

series259.0ms

Counts

2 → 6

Calls

2 calls:

92.0ms	(/ (- t x) (- a z))
166.0ms	(fma (/ (- t x) (- a z)) (- y z) x)

simplify1.8s

Counts

72 → 72

Iterations

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

prune348.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 8.5b

localize31.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- t x) (- a z))
4.0b	(+ (* (/ (- t x) (- a z)) (- y z)) x)
5.1b	(* (/ (- t x) (- a z)) (- y z))

rewrite178.0ms

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:

39.0ms	(/ (- t x) (- a z))
40.0ms	(+ (* (/ (- t x) (- a z)) (- y z)) x)
86.0ms	(* (/ (- t x) (- a z)) (- y z))

series678.0ms

Counts

3 → 9

Calls

3 calls:

93.0ms	(/ (- t x) (- a z))
271.0ms	(+ (* (/ (- t x) (- a z)) (- y z)) x)
313.0ms	(* (/ (- t x) (- a z)) (- y z))

simplify2.1s

Counts

182 → 182

Iterations

Iter	Nodes
done	5001
2	1976
1	715
0	259

prune971.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 8.4b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- y z) (- a z))
1.9b	(* (- t x) (/ (- y z) (- a z)))
3.3b	(+ (* (- t x) (/ (- y z) (- a z))) x)

rewrite161.0ms

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:

34.0ms	(/ (- y z) (- a z))
92.0ms	(* (- t x) (/ (- y z) (- a z)))
27.0ms	(+ (* (- t x) (/ (- y z) (- a z))) x)

series546.0ms

Counts

3 → 9

Calls

3 calls:

87.0ms	(/ (- y z) (- a z))
195.0ms	(* (- t x) (/ (- y z) (- a z)))
264.0ms	(+ (* (- t x) (/ (- y z) (- a z))) x)

simplify1.9s

Counts

138 → 138

Iterations

Iter	Nodes
done	5001
2	1770
1	521
0	192

prune732.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 5.5b

localize35.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- y z) (- a z))
4.4b	(fma (- t x) (/ (- y z) (- a z)) x)

rewrite54.0ms

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:

49.0ms	(/ (- y z) (- a z))
1.0ms	(fma (- t x) (/ (- y z) (- a z)) x)

series272.0ms

Counts

2 → 6

Calls

2 calls:

86.0ms	(/ (- y z) (- a z))
186.0ms	(fma (- t x) (/ (- y z) (- a z)) x)

simplify2.5s

Counts

72 → 72

Iterations

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

prune407.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 5.5b

regimes745.0ms

Accuracy

13.3% (7.2b remaining)

Error of 10.7b against oracle of 3.5b and baseline of 11.8b

bsearch125.0ms

Steps

Iters	Range		Point
8	1.2580209230012226e-188	9.603342932461938e-186	4.018665187593768e-186
6	-1.2277973857996992e-81	-2.5760191161851393e-82	-8.589035675987075e-82

simplify5.0ms

Iterations

Iter	Nodes
done	34
1	34
0	27

end0.0ms

sample1.4s

Algorithm

intervals

Results

606.0ms	7798×	body	80	valid
185.0ms	509×	body	640	valid
131.0ms	374×	body	320	valid
104.0ms	274×	body	1280	valid
32.0ms	278×	body	160	valid
4.0ms	10×	body	2560	valid