Details

sample360.0ms

Algorithm

intervals

Results

186.0ms	1232×	body	80	nan
57.0ms	370×	body	80	valid
7.0ms	10×	body	640	valid
3.0ms	7×	body	320	valid
3.0ms	9×	body	160	valid
1.0ms	1×	body	1280	valid

simplify2.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
5	1044
4	347
3	135
2	62
1	31
0	17

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.5b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b	(* x (exp (fma y (- (log z) t) (* (- (log (- 1.0 z)) b) a))))
0.0b	(exp (fma y (- (log z) t) (* (- (log (- 1.0 z)) b) a)))
0.4b	(fma y (- (log z) t) (* (- (log (- 1.0 z)) b) a))
3.7b	(log (- 1.0 z))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt`
10×	`*-un-lft-identity`
8×	`add-cube-cbrt`
7×	`pow1`
6×	`add-cbrt-cube` `add-exp-log`
5×	`log-prod` `add-log-exp`
4×	`expm1-log1p-u` `associate-r` `insert-posit16` `log1p-expm1-u`
3×	`exp-prod` `associate-l` `fma-udef`
2×	`log-div` `exp-sum`
1×	`flip3--` `rem-log-exp` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `flip--` `distribute-lft-out--` `difference-of-squares` `unswap-sqr` `rem-exp-log`

Counts

4 → 67

Calls

4 calls:

16.0ms	(* x (exp (fma y (- (log z) t) (* (- (log (- 1.0 z)) b) a))))
3.0ms	(exp (fma y (- (log z) t) (* (- (log (- 1.0 z)) b) a)))
0.0ms	(fma y (- (log z) t) (* (- (log (- 1.0 z)) b) a))
12.0ms	(log (- 1.0 z))

series756.0ms

Counts

4 → 12

Calls

4 calls:

230.0ms	(* x (exp (fma y (- (log z) t) (* (- (log (- 1.0 z)) b) a))))
196.0ms	(exp (fma y (- (log z) t) (* (- (log (- 1.0 z)) b) a)))
263.0ms	(fma y (- (log z) t) (* (- (log (- 1.0 z)) b) a))
67.0ms	(log (- 1.0 z))

simplify1.8s

Counts

79 → 79

Iterations

Iter	Nodes
done	5004
3	2445
2	866
1	358
0	159

prune598.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize67.0ms

Local error

Found 4 expressions with local error:

0.0b	(* x (exp (fma y (- (log z) t) (* (- (fma -1/2 (* (/ z 1.0) (/ z 1.0)) (- (log 1.0) (* 1.0 z))) b) a))))
0.0b	(exp (fma y (- (log z) t) (* (- (fma -1/2 (* (/ z 1.0) (/ z 1.0)) (- (log 1.0) (* 1.0 z))) b) a)))
0.0b	(* (- (fma -1/2 (* (/ z 1.0) (/ z 1.0)) (- (log 1.0) (* 1.0 z))) b) a)
0.4b	(fma y (- (log z) t) (* (- (fma -1/2 (* (/ z 1.0) (/ z 1.0)) (- (log 1.0) (* 1.0 z))) b) a))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
11×	`*-un-lft-identity`
9×	`add-cube-cbrt`
8×	`pow1` `add-cbrt-cube` `associate-l`
7×	`associate-r` `add-exp-log`
5×	`add-log-exp`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
3×	`exp-prod` `fma-udef`
2×	`exp-sum` `pow-prod-down` `associate-l/` `prod-exp` `-commutative` `cbrt-unprod` `unswap-sqr`
1×	`flip3--` `flip--` `distribute-lft-out--` `difference-of-squares` `rem-exp-log`

Counts

4 → 73

Calls

4 calls:

15.0ms	(* x (exp (fma y (- (log z) t) (* (- (fma -1/2 (* (/ z 1.0) (/ z 1.0)) (- (log 1.0) (* 1.0 z))) b) a))))
2.0ms	(exp (fma y (- (log z) t) (* (- (fma -1/2 (* (/ z 1.0) (/ z 1.0)) (- (log 1.0) (* 1.0 z))) b) a)))
17.0ms	(* (- (fma -1/2 (* (/ z 1.0) (/ z 1.0)) (- (log 1.0) (* 1.0 z))) b) a)
0.0ms	(fma y (- (log z) t) (* (- (fma -1/2 (* (/ z 1.0) (/ z 1.0)) (- (log 1.0) (* 1.0 z))) b) a))

series898.0ms

Counts

4 → 12

Calls

4 calls:

234.0ms	(* x (exp (fma y (- (log z) t) (* (- (fma -1/2 (* (/ z 1.0) (/ z 1.0)) (- (log 1.0) (* 1.0 z))) b) a))))
205.0ms	(exp (fma y (- (log z) t) (* (- (fma -1/2 (* (/ z 1.0) (/ z 1.0)) (- (log 1.0) (* 1.0 z))) b) a)))
124.0ms	(* (- (fma -1/2 (* (/ z 1.0) (/ z 1.0)) (- (log 1.0) (* 1.0 z))) b) a)
334.0ms	(fma y (- (log z) t) (* (- (fma -1/2 (* (/ z 1.0) (/ z 1.0)) (- (log 1.0) (* 1.0 z))) b) a))

simplify2.5s

Counts

85 → 85

Iterations

Iter	Nodes
done	5000
3	3598
2	857
1	314
0	142

prune793.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize67.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- (fma -1/2 (* (/ z 1.0) (/ z 1.0)) (- (log 1.0) (* 1.0 z))) b) a)
0.0b	(* (- (fma -1/2 (* (/ z 1.0) (/ z 1.0)) (- (log 1.0) (* 1.0 z))) b) a)
0.4b	(fma y (- (log z) t) (* (- (fma -1/2 (* (/ z 1.0) (/ z 1.0)) (- (log 1.0) (* 1.0 z))) b) a))
0.4b	(fma y (- (log z) t) (* (- (fma -1/2 (* (/ z 1.0) (/ z 1.0)) (- (log 1.0) (* 1.0 z))) b) a))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
12×	`*-un-lft-identity`
10×	`associate-l`
8×	`pow1` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
6×	`associate-r`
4×	`expm1-log1p-u` `associate-*l/` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`flip3--` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `flip--` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 72

Calls

4 calls:

16.0ms	(* (- (fma -1/2 (* (/ z 1.0) (/ z 1.0)) (- (log 1.0) (* 1.0 z))) b) a)
22.0ms	(* (- (fma -1/2 (* (/ z 1.0) (/ z 1.0)) (- (log 1.0) (* 1.0 z))) b) a)
0.0ms	(fma y (- (log z) t) (* (- (fma -1/2 (* (/ z 1.0) (/ z 1.0)) (- (log 1.0) (* 1.0 z))) b) a))
1.0ms	(fma y (- (log z) t) (* (- (fma -1/2 (* (/ z 1.0) (/ z 1.0)) (- (log 1.0) (* 1.0 z))) b) a))

series767.0ms

Counts

4 → 12

Calls

4 calls:

111.0ms	(* (- (fma -1/2 (* (/ z 1.0) (/ z 1.0)) (- (log 1.0) (* 1.0 z))) b) a)
99.0ms	(* (- (fma -1/2 (* (/ z 1.0) (/ z 1.0)) (- (log 1.0) (* 1.0 z))) b) a)
270.0ms	(fma y (- (log z) t) (* (- (fma -1/2 (* (/ z 1.0) (/ z 1.0)) (- (log 1.0) (* 1.0 z))) b) a))
287.0ms	(fma y (- (log z) t) (* (- (fma -1/2 (* (/ z 1.0) (/ z 1.0)) (- (log 1.0) (* 1.0 z))) b) a))

simplify2.4s

Counts

84 → 84

Iterations

Iter	Nodes
done	5002
3	2469
2	547
1	198
0	90

prune943.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize87.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- (fma -1/2 (* (/ z 1.0) (/ z 1.0)) (- (log 1.0) (* 1.0 z))) b) a)
0.4b	(fma y (- (log z) t) (* (- (fma -1/2 (* (/ z 1.0) (/ z 1.0)) (- (log 1.0) (* 1.0 z))) b) a))
0.4b	(fma y (- (log z) t) (* (- (fma -1/2 (* (/ z 1.0) (/ z 1.0)) (- (log 1.0) (* 1.0 z))) b) a))
0.4b	(fma y (- (log z) t) (* (- (fma -1/2 (* (/ z 1.0) (/ z 1.0)) (- (log 1.0) (* 1.0 z))) b) a))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
8×	`*-un-lft-identity`
6×	`pow1` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
5×	`associate-l`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`associate-r` `fma-udef`
2×	`associate-*l/`
1×	`flip3--` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip--` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 58

Calls

4 calls:

27.0ms	(* (- (fma -1/2 (* (/ z 1.0) (/ z 1.0)) (- (log 1.0) (* 1.0 z))) b) a)
0.0ms	(fma y (- (log z) t) (* (- (fma -1/2 (* (/ z 1.0) (/ z 1.0)) (- (log 1.0) (* 1.0 z))) b) a))
0.0ms	(fma y (- (log z) t) (* (- (fma -1/2 (* (/ z 1.0) (/ z 1.0)) (- (log 1.0) (* 1.0 z))) b) a))
0.0ms	(fma y (- (log z) t) (* (- (fma -1/2 (* (/ z 1.0) (/ z 1.0)) (- (log 1.0) (* 1.0 z))) b) a))

series974.0ms

Counts

4 → 12

Calls

4 calls:

88.0ms	(* (- (fma -1/2 (* (/ z 1.0) (/ z 1.0)) (- (log 1.0) (* 1.0 z))) b) a)
308.0ms	(fma y (- (log z) t) (* (- (fma -1/2 (* (/ z 1.0) (/ z 1.0)) (- (log 1.0) (* 1.0 z))) b) a))
321.0ms	(fma y (- (log z) t) (* (- (fma -1/2 (* (/ z 1.0) (/ z 1.0)) (- (log 1.0) (* 1.0 z))) b) a))
256.0ms	(fma y (- (log z) t) (* (- (fma -1/2 (* (/ z 1.0) (/ z 1.0)) (- (log 1.0) (* 1.0 z))) b) a))

simplify2.3s

Counts

70 → 70

Iterations

Iter	Nodes
done	5002
3	2469
2	547
1	198
0	90

prune874.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes382.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify7.0ms

Iterations

Iter	Nodes
done	26
1	26
0	23

end0.0ms

sample13.5s

Algorithm

intervals

Results

7.3s	40040×	body	80	nan
2.6s	12643×	body	80	valid
299.0ms	350×	body	640	valid
197.0ms	387×	body	320	valid
89.0ms	286×	body	160	valid
81.0ms	61×	body	1280	valid