Details

sample394.0ms

Algorithm

intervals

Results

171.0ms	1282×	body	80	nan
44.0ms	389×	body	80	valid
13.0ms	16×	body	640	valid
5.0ms	11×	body	320	valid
3.0ms	2×	body	1280	valid
3.0ms	11×	body	160	valid

simplify3.7s

Counts

1 → 1

Iterations

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

prune30.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.5b

localize68.0ms

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))
5.3b	(log (- 1.0 z))

rewrite36.0ms

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:

17.0ms	(* x (exp (fma y (- (log z) t) (* (- (log (- 1.0 z)) b) a))))
4.0ms	(exp (fma y (- (log z) t) (* (- (log (- 1.0 z)) b) a)))
1.0ms	(fma y (- (log z) t) (* (- (log (- 1.0 z)) b) a))
10.0ms	(log (- 1.0 z))

series1.4s

Counts

4 → 12

Calls

4 calls:

470.0ms	(* x (exp (fma y (- (log z) t) (* (- (log (- 1.0 z)) b) a))))
470.0ms	(exp (fma y (- (log z) t) (* (- (log (- 1.0 z)) b) a)))
378.0ms	(fma y (- (log z) t) (* (- (log (- 1.0 z)) b) a))
95.0ms	(log (- 1.0 z))

simplify4.0s

Counts

79 → 79

Iterations

Iter	Nodes
done	5000
3	2442
2	860
1	357
0	159

prune1.5s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize122.0ms

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))

rewrite90.0ms

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:

46.0ms	(* (- (fma -1/2 (* (/ z 1.0) (/ z 1.0)) (- (log 1.0) (* 1.0 z))) b) a)
33.0ms	(* x (exp (fma y (- (log z) t) (* (- (fma -1/2 (* (/ z 1.0) (/ z 1.0)) (- (log 1.0) (* 1.0 z))) b) a))))
6.0ms	(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	(fma y (- (log z) t) (* (- (fma -1/2 (* (/ z 1.0) (/ z 1.0)) (- (log 1.0) (* 1.0 z))) b) a))

series1.3s

Counts

4 → 12

Calls

4 calls:

116.0ms	(* (- (fma -1/2 (* (/ z 1.0) (/ z 1.0)) (- (log 1.0) (* 1.0 z))) b) a)
494.0ms	(* x (exp (fma y (- (log z) t) (* (- (fma -1/2 (* (/ z 1.0) (/ z 1.0)) (- (log 1.0) (* 1.0 z))) b) a))))
329.0ms	(exp (fma y (- (log z) t) (* (- (fma -1/2 (* (/ z 1.0) (/ z 1.0)) (- (log 1.0) (* 1.0 z))) b) a)))
408.0ms	(fma y (- (log z) t) (* (- (fma -1/2 (* (/ z 1.0) (/ z 1.0)) (- (log 1.0) (* 1.0 z))) b) a))

simplify5.8s

Counts

85 → 85

Iterations

Iter	Nodes
done	5000
3	3652
2	867
1	314
0	142

prune2.0s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize117.0ms

Local error

Found 4 expressions with local error:

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

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 64

Calls

4 calls:

1.0ms	(fma (fma (* (/ z 1.0) -1/2) (/ z 1.0) (- (log 1.0) (fma z 1.0 b))) a (* (- (log z) t) y))
1.0ms	(expm1 (log1p (exp (fma (fma (* (/ z 1.0) -1/2) (/ z 1.0) (- (log 1.0) (fma z 1.0 b))) a (* (- (log z) t) y)))))
3.0ms	(exp (fma (fma (* (/ z 1.0) -1/2) (/ z 1.0) (- (log 1.0) (fma z 1.0 b))) a (* (- (log z) t) y)))
42.0ms	(* (- (log z) t) y)

series1.4s

Counts

4 → 12

Calls

4 calls:

376.0ms	(fma (fma (* (/ z 1.0) -1/2) (/ z 1.0) (- (log 1.0) (fma z 1.0 b))) a (* (- (log z) t) y))
545.0ms	(expm1 (log1p (exp (fma (fma (* (/ z 1.0) -1/2) (/ z 1.0) (- (log 1.0) (fma z 1.0 b))) a (* (- (log z) t) y)))))
314.0ms	(exp (fma (fma (* (/ z 1.0) -1/2) (/ z 1.0) (- (log 1.0) (fma z 1.0 b))) a (* (- (log z) t) y)))
156.0ms	(* (- (log z) t) y)

simplify4.6s

Counts

76 → 76

Iterations

Iter	Nodes
done	5004
3	2343
2	693
1	284
0	136

prune1.6s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize160.0ms

Local error

Found 4 expressions with local error:

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

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 71

Calls

4 calls:

2.0ms	(fma (fma (* (/ z 1.0) -1/2) (/ z 1.0) (- (log 1.0) (fma z 1.0 b))) a (* (- (log z) t) y))
8.0ms	(pow E (fma (fma (* (/ z 1.0) -1/2) (/ z 1.0) (- (log 1.0) (fma z 1.0 b))) a (* (- (log z) t) y)))
2.0ms	(expm1 (log1p (pow E (fma (fma (* (/ z 1.0) -1/2) (/ z 1.0) (- (log 1.0) (fma z 1.0 b))) a (* (- (log z) t) y)))))
66.0ms	(* (- (log z) t) y)

series1.7s

Counts

4 → 12

Calls

4 calls:

456.0ms	(fma (fma (* (/ z 1.0) -1/2) (/ z 1.0) (- (log 1.0) (fma z 1.0 b))) a (* (- (log z) t) y))
333.0ms	(pow E (fma (fma (* (/ z 1.0) -1/2) (/ z 1.0) (- (log 1.0) (fma z 1.0 b))) a (* (- (log z) t) y)))
632.0ms	(expm1 (log1p (pow E (fma (fma (* (/ z 1.0) -1/2) (/ z 1.0) (- (log 1.0) (fma z 1.0 b))) a (* (- (log z) t) y)))))
237.0ms	(* (- (log z) t) y)

simplify5.0s

Counts

83 → 83

Iterations

Iter	Nodes
done	5001
3	2502
2	776
1	332
0	151

prune1.8s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

regimes1.7s

Accuracy

0% (0.0b remaining)

Error of 0.2b against oracle of 0.2b and baseline of 0.2b

bsearch0.0ms

simplify12.0ms

Iterations

Iter	Nodes
done	30
2	30
1	28
0	23

end0.0ms

sample13.7s

Algorithm

intervals

Results

7.1s	40046×	body	80	nan
1.8s	12293×	body	80	valid
232.0ms	375×	body	640	valid
207.0ms	409×	body	320	valid
96.0ms	252×	body	160	valid
70.0ms	60×	body	1280	valid