Details

sample33.0ms

Algorithm

intervals

Results

20.0ms

269×

body

valid

simplify2.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	5009
9	4334
8	3012
7	2159
6	1263
5	559
4	207
3	103
2	58
1	25
0	12

prune21.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z y) (- (+ 1.0 t) z))
0.1b	(fma (/ (- z y) (- (+ 1.0 t) z)) a x)

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

59×	`*-un-lft-identity`
41×	`add-sqr-sqrt`
30×	`times-frac`
19×	`distribute-lft-out--`
15×	`add-cube-cbrt`
13×	`difference-of-squares`
6×	`associate-/r*` `distribute-lft-out`
5×	`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 → 72

Calls

2 calls:

57.0ms	(/ (- z y) (- (+ 1.0 t) z))
1.0ms	(fma (/ (- z y) (- (+ 1.0 t) z)) a x)

series190.0ms

Counts

2 → 6

Calls

2 calls:

76.0ms	(/ (- z y) (- (+ 1.0 t) z))
114.0ms	(fma (/ (- z y) (- (+ 1.0 t) z)) a x)

simplify2.8s

Counts

78 → 78

Iterations

Iter	Nodes
done	5002
3	3545
2	844
1	300
0	124

prune447.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize39.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- (+ 1.0 t) z))
0.1b	(fma (* (- z y) (/ 1 (- (+ 1.0 t) z))) a x)
0.2b	(* (- z y) (/ 1 (- (+ 1.0 t) z)))

rewrite140.0ms

Algorithm

rewrite-expression-head

Rules

63×	`*-un-lft-identity`
48×	`add-sqr-sqrt`
38×	`times-frac`
25×	`add-cube-cbrt`
24×	`associate-r`
16×	`add-exp-log`
15×	`distribute-lft-out--`
10×	`add-cbrt-cube`
8×	`difference-of-squares`
7×	`distribute-lft-out`
6×	`pow1` `associate-/r*`
5×	`associate-l`
4×	`flip3--` `div-exp` `prod-exp` `associate-/r/` `flip--`
3×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `associate-/l*` `add-log-exp` `unswap-sqr`
2×	`frac-times` `cbrt-undiv` `rec-exp` `1-exp` `associate-*l/` `cbrt-unprod` `div-inv`
1×	`clear-num` `frac-2neg` `pow-prod-down` `associate-r/` `un-div-inv` `-commutative` `fma-udef` `pow-flip` `inv-pow`

Counts

3 → 115

Calls

3 calls:

28.0ms	(/ 1 (- (+ 1.0 t) z))
0.0ms	(fma (* (- z y) (/ 1 (- (+ 1.0 t) z))) a x)
109.0ms	(* (- z y) (/ 1 (- (+ 1.0 t) z)))

series262.0ms

Counts

3 → 9

Calls

3 calls:

65.0ms	(/ 1 (- (+ 1.0 t) z))
120.0ms	(fma (* (- z y) (/ 1 (- (+ 1.0 t) z))) a x)
76.0ms	(* (- z y) (/ 1 (- (+ 1.0 t) z)))

simplify2.7s

Counts

124 → 124

Iterations

Iter	Nodes
done	5000
3	4430
2	1372
1	402
0	164

prune663.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize25.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- (+ 1.0 t) z) (- z y))
0.1b	(fma (/ 1 (/ (- (+ 1.0 t) z) (- z y))) a x)
0.3b	(/ 1 (/ (- (+ 1.0 t) z) (- z y)))

rewrite135.0ms

Algorithm

rewrite-expression-head

Rules

293×	`*-un-lft-identity`
258×	`times-frac`
215×	`add-sqr-sqrt`
101×	`add-cube-cbrt`
83×	`distribute-lft-out--`
57×	`difference-of-squares`
41×	`associate-/r*`
26×	`distribute-lft-out`
16×	`add-exp-log`
11×	`associate-/r/`
10×	`add-cbrt-cube`
9×	`associate-/l*`
8×	`div-exp`
6×	`flip3--` `div-inv` `flip--`
4×	`pow1` `cbrt-undiv`
3×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`rec-exp` `clear-num` `frac-2neg` `1-exp` `associate-/l/`
1×	`div-sub` `fma-udef` `pow-flip` `inv-pow`

Counts

3 → 243

Calls

3 calls:

72.0ms	(/ (- (+ 1.0 t) z) (- z y))
0.0ms	(fma (/ 1 (/ (- (+ 1.0 t) z) (- z y))) a x)
57.0ms	(/ 1 (/ (- (+ 1.0 t) z) (- z y)))

series502.0ms

Counts

3 → 9

Calls

3 calls:

119.0ms	(/ (- (+ 1.0 t) z) (- z y))
247.0ms	(fma (/ 1 (/ (- (+ 1.0 t) z) (- z y))) a x)
135.0ms	(/ 1 (/ (- (+ 1.0 t) z) (- z y)))

simplify2.3s

Counts

252 → 252

Iterations

Iter	Nodes
done	5004
2	2549
1	770
0	292

prune851.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
0.0b	(+ (- t z) 1.0)
0.0b	(/ (+ (- t z) 1.0) a)
8.1b	(/ (- y z) (/ (+ (- t z) 1.0) a))

rewrite228.0ms

Algorithm

rewrite-expression-head

Rules

889×	`*-un-lft-identity`
713×	`times-frac`
556×	`add-sqr-sqrt`
391×	`add-cube-cbrt`
309×	`prod-diff`
147×	`distribute-lft-out--`
136×	`distribute-lft-out`
81×	`difference-of-squares`
26×	`div-inv`
22×	`associate-/r*`
11×	`associate-+l+` `add-cbrt-cube` `add-exp-log` `add-log-exp`
10×	`associate-/l*`
5×	`fma-def`
4×	`expm1-log1p-u` `pow1` `cbrt-undiv` `div-exp` `associate-/r/` `insert-posit16` `log1p-expm1-u` `associate-/l/`
3×	`fma-neg` `div-sub`
2×	`clear-num` `sum-log` `sub-neg` `frac-2neg` `flip3-+` `flip3--` `diff-log` `associate-+l-` `flip-+` `flip--`
1×	`+-commutative` `associate--r-`

Counts

4 → 538

Calls

4 calls:

76.0ms	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
22.0ms	(+ (- t z) 1.0)
46.0ms	(/ (+ (- t z) 1.0) a)
65.0ms	(/ (- y z) (/ (+ (- t z) 1.0) a))

series385.0ms

Counts

4 → 12

Calls

4 calls:

118.0ms	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
17.0ms	(+ (- t z) 1.0)
39.0ms	(/ (+ (- t z) 1.0) a)
211.0ms	(/ (- y z) (/ (+ (- t z) 1.0) a))

simplify2.0s

Counts

550 → 550

Iterations

Iter	Nodes
done	5000
1	2005
0	696

prune2.2s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes348.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	17
1	17
0	13

end0.0ms

sample1.2s

Algorithm

intervals

Results

808.0ms	8461×	body	80	valid
1.0ms	2×	body	1280	valid
0.0ms	1×	body	320	valid