Details

sample430.0ms

Algorithm

intervals

Results

256.0ms	1204×	body	80	nan
86.0ms	450×	body	80	valid

simplify5.2s

Counts

1 → 1

Iterations

Iter	Nodes
6	7660
5	1421
4	477
3	179
2	71
1	33
0	17

prune31.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.2b

localize37.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma (- t 1.0) (log a) (* (log z) y))
0.3b	(* (log z) y)
1.2b	(exp (- (fma (- t 1.0) (log a) (* (log z) y)) b))
1.5b	(* x (/ (exp (- (fma (- t 1.0) (log a) (* (log z) y)) b)) y))

rewrite105.0ms

Algorithm

rewrite-expression-head

Rules

60×	`add-sqr-sqrt`
53×	`*-un-lft-identity`
52×	`associate-r`
51×	`add-cube-cbrt`
48×	`exp-sum`
46×	`times-frac`
36×	`prod-diff`
11×	`add-cbrt-cube`
10×	`add-exp-log`
9×	`pow1`
7×	`associate-l` `add-log-exp`
5×	`exp-prod` `fma-udef`
4×	`expm1-log1p-u` `sub-neg` `associate--l+` `insert-posit16` `log1p-expm1-u`
3×	`prod-exp` `cbrt-unprod` `unswap-sqr`
2×	`pow-prod-down` `*-commutative` `rem-exp-log`
1×	`cbrt-undiv` `exp-diff` `diff-log` `div-exp` `associate-*r/` `log-pow` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 134

Calls

4 calls:

0.0ms	(fma (- t 1.0) (log a) (* (log z) y))
7.0ms	(* (log z) y)
12.0ms	(exp (- (fma (- t 1.0) (log a) (* (log z) y)) b))
81.0ms	(* x (/ (exp (- (fma (- t 1.0) (log a) (* (log z) y)) b)) y))

series704.0ms

Counts

4 → 12

Calls

4 calls:

157.0ms	(fma (- t 1.0) (log a) (* (log z) y))
91.0ms	(* (log z) y)
163.0ms	(exp (- (fma (- t 1.0) (log a) (* (log z) y)) b))
293.0ms	(* x (/ (exp (- (fma (- t 1.0) (log a) (* (log z) y)) b)) y))

simplify3.3s

Counts

146 → 146

Iterations

Iter	Nodes
3	5269
2	1832
1	703
0	298

prune3.1s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0.8b

localize72.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt y)
0.5b	(cbrt y)
1.2b	(exp (- (fma (- t 1.0) (log a) (* (log z) y)) b))
1.2b	(exp (- (fma (- t 1.0) (log a) (* (log z) y)) b))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt` `*-un-lft-identity` `exp-sum`
20×	`add-cube-cbrt`
18×	`prod-diff`
10×	`exp-prod` `add-log-exp`
6×	`cbrt-prod`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u` `rem-exp-log`
2×	`sub-neg` `exp-diff` `pow1/3` `diff-log` `associate--l+` `fma-udef` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 88

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
13.0ms	(exp (- (fma (- t 1.0) (log a) (* (log z) y)) b))
30.0ms	(exp (- (fma (- t 1.0) (log a) (* (log z) y)) b))

series927.0ms

Counts

4 → 12

Calls

4 calls:

314.0ms	(cbrt y)
280.0ms	(cbrt y)
169.0ms	(exp (- (fma (- t 1.0) (log a) (* (log z) y)) b))
163.0ms	(exp (- (fma (- t 1.0) (log a) (* (log z) y)) b))

simplify7.2s

Counts

100 → 100

Iterations

Iter	Nodes
4	6821
3	1780
2	618
1	277
0	141

prune2.5s

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 0.7b

localize71.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt y)
0.5b	(cbrt y)
1.1b	(pow E (- (fma (- t 1.0) (log a) (* (log z) y)) b))
1.2b	(exp (- (fma (- t 1.0) (log a) (* (log z) y)) b))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt` `*-un-lft-identity`
21×	`add-cube-cbrt`
18×	`prod-diff`
12×	`unpow-prod-up` `exp-sum`
7×	`add-log-exp`
6×	`cbrt-prod`
5×	`pow1` `pow-unpow` `exp-prod` `add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u`
3×	`unpow-prod-down`
2×	`sub-neg` `pow1/3` `pow-exp` `associate--l+` `fma-udef` `distribute-lft-out--` `difference-of-squares` `rem-exp-log`
1×	`pow-to-exp` `e-exp-1` `pow-pow` `exp-diff` `diff-log` `pow-sub` `sqr-pow`

Counts

4 → 94

Calls

4 calls:

1.0ms	(cbrt y)
2.0ms	(cbrt y)
18.0ms	(pow E (- (fma (- t 1.0) (log a) (* (log z) y)) b))
22.0ms	(exp (- (fma (- t 1.0) (log a) (* (log z) y)) b))

series896.0ms

Counts

4 → 12

Calls

4 calls:

281.0ms	(cbrt y)
261.0ms	(cbrt y)
194.0ms	(pow E (- (fma (- t 1.0) (log a) (* (log z) y)) b))
160.0ms	(exp (- (fma (- t 1.0) (log a) (* (log z) y)) b))

simplify1.2s

Counts

106 → 106

Iterations

Iter	Nodes
3	2734
2	934
1	415
0	187

prune3.0s

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 0.7b

localize75.0ms

Local error

Found 4 expressions with local error:

1.1b	(pow E (- (fma (- t 1.0) (log a) (* (log z) y)) b))
1.1b	(pow E (- (fma (- t 1.0) (log a) (* (log z) y)) b))
1.1b	(pow E (- (fma (- t 1.0) (log a) (* (log z) y)) b))
1.2b	(exp (- (fma (- t 1.0) (log a) (* (log z) y)) b))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

43×	`add-sqr-sqrt` `*-un-lft-identity`
36×	`unpow-prod-up` `prod-diff`
35×	`add-cube-cbrt`
15×	`pow-unpow`
12×	`exp-sum`
9×	`unpow-prod-down`
7×	`pow1` `add-exp-log` `add-log-exp`
6×	`pow-exp`
5×	`exp-prod`
4×	`expm1-log1p-u` `sub-neg` `add-cbrt-cube` `associate--l+` `fma-udef` `insert-posit16` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares`
3×	`pow-to-exp` `e-exp-1` `pow-pow` `pow-sub` `sqr-pow`
2×	`rem-exp-log`
1×	`exp-diff` `diff-log`

Counts

4 → 138

Calls

4 calls:

16.0ms	(pow E (- (fma (- t 1.0) (log a) (* (log z) y)) b))
8.0ms	(pow E (- (fma (- t 1.0) (log a) (* (log z) y)) b))
5.0ms	(pow E (- (fma (- t 1.0) (log a) (* (log z) y)) b))
12.0ms	(exp (- (fma (- t 1.0) (log a) (* (log z) y)) b))

series638.0ms

Counts

4 → 12

Calls

4 calls:

174.0ms	(pow E (- (fma (- t 1.0) (log a) (* (log z) y)) b))
173.0ms	(pow E (- (fma (- t 1.0) (log a) (* (log z) y)) b))
147.0ms	(pow E (- (fma (- t 1.0) (log a) (* (log z) y)) b))
143.0ms	(exp (- (fma (- t 1.0) (log a) (* (log z) y)) b))

simplify1.1s

Counts

150 → 150

Iterations

Iter	Nodes
3	2556
2	847
1	374
0	163

prune4.5s

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 0.6b

regimes2.3s

Accuracy

0% (0.4b remaining)

Error of 1.0b against oracle of 0.6b and baseline of 1.0b

bsearch0.0ms

simplify14.0ms

Iterations

Iter	Nodes
2	36
1	36
0	31

end0.0ms

sample13.8s

Algorithm

intervals

Results

7.3s	45438×	body	80	nan
3.4s	15106×	body	80	valid