Details

sample925.0ms

Algorithm

intervals

Results

266.0ms	1402×	body	80	nan
94.0ms	462×	body	80	valid

simplify5.0s

Counts

1 → 1

Iterations

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

prune21.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma (- t 1.0) (log a) (* (log z) y))
0.2b	(* (log z) y)
1.0b	(* x (/ (exp (- (fma (- t 1.0) (log a) (* (log z) y)) b)) y))
1.1b	(exp (- (fma (- t 1.0) (log a) (* (log z) y)) b))

rewrite119.0ms

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:

1.0ms	(fma (- t 1.0) (log a) (* (log z) y))
7.0ms	(* (log z) y)
88.0ms	(* x (/ (exp (- (fma (- t 1.0) (log a) (* (log z) y)) b)) y))
21.0ms	(exp (- (fma (- t 1.0) (log a) (* (log z) y)) b))

series689.0ms

Counts

4 → 12

Calls

4 calls:

120.0ms	(fma (- t 1.0) (log a) (* (log z) y))
87.0ms	(* (log z) y)
283.0ms	(* x (/ (exp (- (fma (- t 1.0) (log a) (* (log z) y)) b)) y))
199.0ms	(exp (- (fma (- t 1.0) (log a) (* (log z) y)) b))

simplify3.7s

Counts

146 → 146

Iterations

Iter	Nodes
3	5447
2	1869
1	703
0	298

prune1.1s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0.9b

localize83.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
1.1b	(exp (- (fma (- t 1.0) (log a) (* (log z) y)) b))
1.1b	(exp (- (fma (- t 1.0) (log a) (* (log z) y)) b))
1.1b	(exp (- (fma (- t 1.0) (log a) (* (log z) y)) b))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

36×	`exp-sum`
32×	`add-sqr-sqrt` `*-un-lft-identity`
27×	`prod-diff`
26×	`add-cube-cbrt`
15×	`exp-prod`
13×	`add-log-exp`
6×	`rem-exp-log`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u`
3×	`cbrt-prod` `sub-neg` `exp-diff` `diff-log` `associate--l+` `fma-udef` `distribute-lft-out--` `difference-of-squares`
1×	`pow1/3`

Counts

4 → 104

Calls

4 calls:

1.0ms	(cbrt y)
16.0ms	(exp (- (fma (- t 1.0) (log a) (* (log z) y)) b))
20.0ms	(exp (- (fma (- t 1.0) (log a) (* (log z) y)) b))
11.0ms	(exp (- (fma (- t 1.0) (log a) (* (log z) y)) b))

series795.0ms

Counts

4 → 12

Calls

4 calls:

276.0ms	(cbrt y)
183.0ms	(exp (- (fma (- t 1.0) (log a) (* (log z) y)) b))
168.0ms	(exp (- (fma (- t 1.0) (log a) (* (log z) y)) b))
168.0ms	(exp (- (fma (- t 1.0) (log a) (* (log z) y)) b))

simplify7.3s

Counts

116 → 116

Iterations

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

prune1.4s

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 0.7b

localize106.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (cbrt y))
1.1b	(exp (- (fma (- t 1.0) (log a) (* (log z) y)) b))
1.1b	(exp (- (fma (- t 1.0) (log a) (* (log z) y)) b))
1.1b	(exp (- (fma (- t 1.0) (log a) (* (log z) y)) b))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

36×	`exp-sum`
33×	`add-sqr-sqrt` `*-un-lft-identity`
27×	`prod-diff` `add-cube-cbrt`
15×	`exp-prod`
13×	`add-log-exp`
9×	`cbrt-prod`
6×	`rem-exp-log`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u`
3×	`sub-neg` `exp-diff` `diff-log` `associate--l+` `fma-udef` `distribute-lft-out--` `difference-of-squares`
1×	`pow1/3`

Counts

4 → 107

Calls

4 calls:

1.0ms	(cbrt (cbrt y))
18.0ms	(exp (- (fma (- t 1.0) (log a) (* (log z) y)) b))
22.0ms	(exp (- (fma (- t 1.0) (log a) (* (log z) y)) b))
21.0ms	(exp (- (fma (- t 1.0) (log a) (* (log z) y)) b))

series871.0ms

Counts

4 → 12

Calls

4 calls:

382.0ms	(cbrt (cbrt y))
154.0ms	(exp (- (fma (- t 1.0) (log a) (* (log z) y)) b))
183.0ms	(exp (- (fma (- t 1.0) (log a) (* (log z) y)) b))
152.0ms	(exp (- (fma (- t 1.0) (log a) (* (log z) y)) b))

simplify8.1s

Counts

119 → 119

Iterations

Iter	Nodes
4	6934
3	1804
2	625
1	288
0	151

prune1.5s

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 0.7b

localize86.0ms

Local error

Found 4 expressions with local error:

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

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

48×	`exp-sum`
40×	`add-sqr-sqrt` `*-un-lft-identity`
36×	`prod-diff`
32×	`add-cube-cbrt`
20×	`exp-prod`
16×	`add-log-exp`
8×	`rem-exp-log`
4×	`expm1-log1p-u` `pow1` `sub-neg` `add-cbrt-cube` `exp-diff` `diff-log` `associate--l+` `add-exp-log` `fma-udef` `insert-posit16` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 120

Calls

4 calls:

11.0ms	(exp (- (fma (- t 1.0) (log a) (* (log z) y)) b))
13.0ms	(exp (- (fma (- t 1.0) (log a) (* (log z) y)) b))
10.0ms	(exp (- (fma (- t 1.0) (log a) (* (log z) y)) b))
11.0ms	(exp (- (fma (- t 1.0) (log a) (* (log z) y)) b))

series660.0ms

Counts

4 → 12

Calls

4 calls:

181.0ms	(exp (- (fma (- t 1.0) (log a) (* (log z) y)) b))
175.0ms	(exp (- (fma (- t 1.0) (log a) (* (log z) y)) b))
153.0ms	(exp (- (fma (- t 1.0) (log a) (* (log z) y)) b))
150.0ms	(exp (- (fma (- t 1.0) (log a) (* (log z) y)) b))

simplify6.5s

Counts

132 → 132

Iterations

Iter	Nodes
4	6336
3	1579
2	528
1	235
0	117

prune1.4s

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 0.7b

regimes2.4s

Accuracy

0% (0.5b remaining)

Error of 1.1b against oracle of 0.6b and baseline of 1.1b

bsearch0.0ms

simplify11.0ms

Iterations

Iter	Nodes
2	34
1	34
0	28

end0.0ms

sample14.4s

Algorithm

intervals

Results

8.2s	45832×	body	80	nan
3.0s	15072×	body	80	valid