Details

sample484.0ms

Algorithm

intervals

Results

302.0ms	1522×	body	80	nan
85.0ms	481×	body	80	valid

simplify5.3s

Counts

1 → 1

Iterations

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

prune34.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.0b

localize52.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma (- t 1.0) (log a) (* (log z) y))
0.3b	(* (log z) y)
0.5b	(* 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))

rewrite97.0ms

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+` `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 → 130

Calls

4 calls:

1.0ms	(fma (- t 1.0) (log a) (* (log z) y))
12.0ms	(* (log z) y)
70.0ms	(* x (/ (exp (- (fma (- t 1.0) (log a) (* (log z) y)) b)) y))
10.0ms	(exp (- (fma (- t 1.0) (log a) (* (log z) y)) b))

series760.0ms

Counts

4 → 12

Calls

4 calls:

156.0ms	(fma (- t 1.0) (log a) (* (log z) y))
112.0ms	(* (log z) y)
329.0ms	(* x (/ (exp (- (fma (- t 1.0) (log a) (* (log z) y)) b)) y))
162.0ms	(exp (- (fma (- t 1.0) (log a) (* (log z) y)) b))

simplify3.8s

Counts

142 → 142

Iterations

Iter	Nodes
3	5336
2	1859
1	698
0	294

prune2.7s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0.7b

localize78.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt y)
0.5b	(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))

rewrite23.0ms

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` `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 → 84

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
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))

series873.0ms

Counts

4 → 12

Calls

4 calls:

264.0ms	(cbrt y)
271.0ms	(cbrt y)
163.0ms	(exp (- (fma (- t 1.0) (log a) (* (log z) y)) b))
174.0ms	(exp (- (fma (- t 1.0) (log a) (* (log z) y)) b))

simplify7.7s

Counts

96 → 96

Iterations

Iter	Nodes
4	6827
3	1769
2	616
1	275
0	139

prune2.2s

Pruning

21 alts after pruning (20 fresh and 1 done)

Merged error: 0.6b

localize115.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (cbrt y))
0.6b	(cbrt (* (cbrt y) (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))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt` `*-un-lft-identity` `exp-sum`
20×	`add-cube-cbrt`
18×	`prod-diff`
10×	`cbrt-prod` `exp-prod` `add-log-exp`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `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 → 85

Calls

4 calls:

1.0ms	(cbrt (cbrt y))
8.0ms	(cbrt (* (cbrt y) (cbrt y)))
10.0ms	(exp (- (fma (- t 1.0) (log a) (* (log z) y)) b))
12.0ms	(exp (- (fma (- t 1.0) (log a) (* (log z) y)) b))

series1.1s

Counts

4 → 12

Calls

4 calls:

375.0ms	(cbrt (cbrt y))
413.0ms	(cbrt (* (cbrt y) (cbrt y)))
182.0ms	(exp (- (fma (- t 1.0) (log a) (* (log z) y)) b))
173.0ms	(exp (- (fma (- t 1.0) (log a) (* (log z) y)) b))

simplify1.2s

Counts

97 → 97

Iterations

Iter	Nodes
3	2035
2	711
1	323
0	167

prune2.3s

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 0.6b

localize106.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (* (cbrt y) (cbrt y)))
0.6b	(cbrt (* (cbrt y) (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))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 80

Calls

4 calls:

5.0ms	(cbrt (* (cbrt y) (cbrt y)))
5.0ms	(cbrt (* (cbrt y) (cbrt y)))
14.0ms	(exp (- (fma (- t 1.0) (log a) (* (log z) y)) b))
14.0ms	(exp (- (fma (- t 1.0) (log a) (* (log z) y)) b))

series1.0s

Counts

4 → 12

Calls

4 calls:

384.0ms	(cbrt (* (cbrt y) (cbrt y)))
321.0ms	(cbrt (* (cbrt y) (cbrt y)))
146.0ms	(exp (- (fma (- t 1.0) (log a) (* (log z) y)) b))
173.0ms	(exp (- (fma (- t 1.0) (log a) (* (log z) y)) b))

simplify6.6s

Counts

92 → 92

Iterations

Iter	Nodes
4	6949
3	1830
2	631
1	286
0	143

prune2.1s

Pruning

23 alts after pruning (22 fresh and 1 done)

Merged error: 0.6b

regimes2.4s

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify12.0ms

Iterations

Iter	Nodes
2	34
1	34
0	28

end0.0ms

sample14.9s

Algorithm

intervals

Results

8.8s	46650×	body	80	nan
2.7s	15275×	body	80	valid