Details

sample307.0ms

Algorithm

intervals

Results

165.0ms	1335×	body	80	nan
46.0ms	415×	body	80	valid
6.0ms	10×	body	640	valid
3.0ms	9×	body	320	valid
3.0ms	2×	body	1280	valid
1.0ms	3×	body	160	valid

simplify1.6s

Counts

1 → 1

Iterations

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

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.6b

localize43.0ms

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)))
0.1b	(fma y (- (log z) t) (* (- (log (- 1.0 z)) b) a))
4.7b	(log (- 1.0 z))

rewrite35.0ms

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:

20.0ms	(* 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))
10.0ms	(log (- 1.0 z))

series742.0ms

Counts

4 → 12

Calls

4 calls:

247.0ms	(* x (exp (fma y (- (log z) t) (* (- (log (- 1.0 z)) b) a))))
175.0ms	(exp (fma y (- (log z) t) (* (- (log (- 1.0 z)) b) a)))
251.0ms	(fma y (- (log z) t) (* (- (log (- 1.0 z)) b) a))
69.0ms	(log (- 1.0 z))

simplify2.1s

Counts

79 → 79

Iterations

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

prune717.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize82.0ms

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	(* 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)))
0.1b	(fma y (- (log z) t) (* (- (fma -1/2 (* (/ z 1.0) (/ z 1.0)) (- (log 1.0) (* 1.0 z))) b) a))

rewrite53.0ms

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:

22.0ms	(* (- (fma -1/2 (* (/ z 1.0) (/ z 1.0)) (- (log 1.0) (* 1.0 z))) b) a)
23.0ms	(* x (exp (fma y (- (log z) t) (* (- (fma -1/2 (* (/ z 1.0) (/ z 1.0)) (- (log 1.0) (* 1.0 z))) b) a))))
4.0ms	(exp (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))

series916.0ms

Counts

4 → 12

Calls

4 calls:

101.0ms	(* (- (fma -1/2 (* (/ z 1.0) (/ z 1.0)) (- (log 1.0) (* 1.0 z))) b) a)
283.0ms	(* x (exp (fma y (- (log z) t) (* (- (fma -1/2 (* (/ z 1.0) (/ z 1.0)) (- (log 1.0) (* 1.0 z))) b) a))))
248.0ms	(exp (fma y (- (log z) t) (* (- (fma -1/2 (* (/ z 1.0) (/ z 1.0)) (- (log 1.0) (* 1.0 z))) b) a)))
284.0ms	(fma y (- (log z) t) (* (- (fma -1/2 (* (/ z 1.0) (/ z 1.0)) (- (log 1.0) (* 1.0 z))) b) a))

simplify2.8s

Counts

85 → 85

Iterations

Iter	Nodes
done	5000
3	3649
2	858
1	313
0	142

prune915.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize63.0ms

Local error

Found 4 expressions with local error:

0.0b	(expm1 (log1p (exp (fma (- (log z) t) y (* a (- (fma (* (/ z 1.0) (/ z 1.0)) -1/2 (log 1.0)) (fma z 1.0 b)))))))
0.0b	(* x (expm1 (log1p (exp (fma (- (log z) t) y (* a (- (fma (* (/ z 1.0) (/ z 1.0)) -1/2 (log 1.0)) (fma z 1.0 b))))))))
0.0b	(exp (fma (- (log z) t) y (* a (- (fma (* (/ z 1.0) (/ z 1.0)) -1/2 (log 1.0)) (fma z 1.0 b)))))
0.1b	(fma (- (log z) t) y (* a (- (fma (* (/ z 1.0) (/ z 1.0)) -1/2 (log 1.0)) (fma z 1.0 b))))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt`
7×	`*-un-lft-identity` `add-cube-cbrt`
6×	`pow1` `add-cbrt-cube` `add-exp-log`
5×	`add-log-exp`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
3×	`exp-prod` `associate-r` `associate-l`
2×	`fma-udef`
1×	`expm1-log1p` `exp-sum` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `expm1-udef` `unswap-sqr` `rem-exp-log`

Counts

4 → 59

Calls

4 calls:

0.0ms	(expm1 (log1p (exp (fma (- (log z) t) y (* a (- (fma (* (/ z 1.0) (/ z 1.0)) -1/2 (log 1.0)) (fma z 1.0 b)))))))
8.0ms	(* x (expm1 (log1p (exp (fma (- (log z) t) y (* a (- (fma (* (/ z 1.0) (/ z 1.0)) -1/2 (log 1.0)) (fma z 1.0 b))))))))
2.0ms	(exp (fma (- (log z) t) y (* a (- (fma (* (/ z 1.0) (/ z 1.0)) -1/2 (log 1.0)) (fma z 1.0 b)))))
0.0ms	(fma (- (log z) t) y (* a (- (fma (* (/ z 1.0) (/ z 1.0)) -1/2 (log 1.0)) (fma z 1.0 b))))

series1.2s

Counts

4 → 12

Calls

4 calls:

297.0ms	(expm1 (log1p (exp (fma (- (log z) t) y (* a (- (fma (* (/ z 1.0) (/ z 1.0)) -1/2 (log 1.0)) (fma z 1.0 b)))))))
415.0ms	(* x (expm1 (log1p (exp (fma (- (log z) t) y (* a (- (fma (* (/ z 1.0) (/ z 1.0)) -1/2 (log 1.0)) (fma z 1.0 b))))))))
238.0ms	(exp (fma (- (log z) t) y (* a (- (fma (* (/ z 1.0) (/ z 1.0)) -1/2 (log 1.0)) (fma z 1.0 b)))))
279.0ms	(fma (- (log z) t) y (* a (- (fma (* (/ z 1.0) (/ z 1.0)) -1/2 (log 1.0)) (fma z 1.0 b))))

simplify2.1s

Counts

71 → 71

Iterations

Iter	Nodes
done	5002
3	1914
2	574
1	227
0	109

prune805.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize85.0ms

Local error

Found 4 expressions with local error:

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	(exp (fma y (- (log z) t) (* (- (fma -1/2 (* (/ z 1.0) (/ z 1.0)) (- (log 1.0) (* 1.0 z))) b) a)))
0.1b	(fma y (- (log z) t) (* (- (fma -1/2 (* (/ z 1.0) (/ z 1.0)) (- (log 1.0) (* 1.0 z))) b) a))
0.1b	(fma y (- (log z) t) (* (- (fma -1/2 (* (/ z 1.0) (/ z 1.0)) (- (log 1.0) (* 1.0 z))) b) a))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `exp-prod` `*-un-lft-identity` `add-cube-cbrt` `add-log-exp`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `fma-udef` `insert-posit16` `log1p-expm1-u`
2×	`exp-sum` `rem-exp-log`

Counts

4 → 52

Calls

4 calls:

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)))
3.0ms	(exp (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))
1.0ms	(fma y (- (log z) t) (* (- (fma -1/2 (* (/ z 1.0) (/ z 1.0)) (- (log 1.0) (* 1.0 z))) b) a))

series1.2s

Counts

4 → 12

Calls

4 calls:

252.0ms	(exp (fma y (- (log z) t) (* (- (fma -1/2 (* (/ z 1.0) (/ z 1.0)) (- (log 1.0) (* 1.0 z))) b) a)))
260.0ms	(exp (fma y (- (log z) t) (* (- (fma -1/2 (* (/ z 1.0) (/ z 1.0)) (- (log 1.0) (* 1.0 z))) b) a)))
372.0ms	(fma y (- (log z) t) (* (- (fma -1/2 (* (/ z 1.0) (/ z 1.0)) (- (log 1.0) (* 1.0 z))) b) a))
348.0ms	(fma y (- (log z) t) (* (- (fma -1/2 (* (/ z 1.0) (/ z 1.0)) (- (log 1.0) (* 1.0 z))) b) a))

simplify3.5s

Counts

64 → 64

Iterations

Iter	Nodes
done	5000
4	3745
3	927
2	321
1	140
0	69

prune768.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes633.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify9.0ms

Iterations

Iter	Nodes
done	24
1	24
0	22

end0.0ms

sample11.7s

Algorithm

intervals

Results

7.2s	41056×	body	80	nan
1.6s	12551×	body	80	valid
279.0ms	371×	body	640	valid
172.0ms	363×	body	320	valid
93.0ms	79×	body	1280	valid
68.0ms	286×	body	160	valid