Details

sample437.0ms

Algorithm

intervals

Results

227.0ms	1345×	body	80	nan
77.0ms	465×	body	80	valid

simplify2.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	5002
5	1717
4	477
3	179
2	71
1	33
0	17

prune26.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- t 1.0) (log a))
0.2b	(* y (log z))
1.1b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.7b	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

rewrite332.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt`
25×	`*-un-lft-identity`
21×	`add-cube-cbrt`
13×	`add-cbrt-cube`
12×	`log-prod` `exp-sum` `add-exp-log`
10×	`pow1` `add-log-exp`
9×	`prod-diff`
8×	`associate-r` `associate-l`
6×	`distribute-rgt-in` `distribute-lft-in`
5×	`exp-prod`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
3×	`associate-/r*` `times-frac` `prod-exp` `cbrt-unprod` `rem-exp-log`
2×	`cbrt-undiv` `exp-diff` `diff-log` `div-exp` `pow-prod-down` `associate-l/` `log-pow` `-commutative` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
1×	`clear-num` `sum-log` `sub-neg` `frac-2neg` `flip3--` `associate--l+` `associate-r/` `div-inv` `flip--` `associate-/l` `associate-/l/`

Counts

4 → 116

Calls

4 calls:

29.0ms	(* (- t 1.0) (log a))
7.0ms	(* y (log z))
102.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
191.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

series540.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(* (- t 1.0) (log a))
63.0ms	(* y (log z))
178.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
222.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

simplify2.1s

Counts

128 → 128

Iterations

Iter	Nodes
done	5002
2	1896
1	626
0	281

prune1.1s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.9b

localize50.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma (- t 1.0) (log a) (* (log z) y))
0.2b	(* (log z) y)
1.1b	(exp (- (fma (- t 1.0) (log a) (* (log z) y)) b))
1.2b	(/ x (/ y (exp (- (fma (- t 1.0) (log a) (* (log z) y)) b))))

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

330×	`times-frac`
216×	`add-sqr-sqrt`
214×	`*-un-lft-identity`
212×	`add-cube-cbrt`
156×	`exp-sum`
117×	`prod-diff`
50×	`associate-/r*`
14×	`fma-udef`
13×	`sub-neg` `associate--l+`
11×	`add-cbrt-cube`
10×	`add-exp-log`
7×	`pow1` `add-log-exp`
5×	`exp-prod` `exp-diff` `associate-/r/` `div-inv`
4×	`expm1-log1p-u` `associate-l` `insert-posit16` `log1p-expm1-u`
3×	`cbrt-undiv` `div-exp` `associate-r` `associate-/l*`
2×	`rem-exp-log`
1×	`clear-num` `frac-2neg` `diff-log` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 284

Calls

4 calls:

0.0ms	(fma (- t 1.0) (log a) (* (log z) y))
13.0ms	(* (log z) y)
29.0ms	(exp (- (fma (- t 1.0) (log a) (* (log z) y)) b))
39.0ms	(/ x (/ y (exp (- (fma (- t 1.0) (log a) (* (log z) y)) b))))

series592.0ms

Counts

4 → 12

Calls

4 calls:

117.0ms	(fma (- t 1.0) (log a) (* (log z) y))
85.0ms	(* (log z) y)
131.0ms	(exp (- (fma (- t 1.0) (log a) (* (log z) y)) b))
259.0ms	(/ x (/ y (exp (- (fma (- t 1.0) (log a) (* (log z) y)) b))))

simplify2.6s

Counts

296 → 296

Iterations

Iter	Nodes
done	5011
2	4110
1	1387
0	545

prune2.1s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0.8b

localize86.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
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))

rewrite77.0ms

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 x)
21.0ms	(exp (- (fma (- t 1.0) (log a) (* (log z) y)) b))
31.0ms	(exp (- (fma (- t 1.0) (log a) (* (log z) y)) b))
23.0ms	(exp (- (fma (- t 1.0) (log a) (* (log z) y)) b))

series812.0ms

Counts

4 → 12

Calls

4 calls:

262.0ms	(cbrt x)
188.0ms	(exp (- (fma (- t 1.0) (log a) (* (log z) y)) b))
164.0ms	(exp (- (fma (- t 1.0) (log a) (* (log z) y)) b))
197.0ms	(exp (- (fma (- t 1.0) (log a) (* (log z) y)) b))

simplify2.5s

Counts

116 → 116

Iterations

Iter	Nodes
done	5002
3	2022
2	657
1	287
0	142

prune1.2s

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 0.7b

localize111.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (cbrt x))
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))

rewrite53.0ms

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:

2.0ms	(cbrt (cbrt x))
14.0ms	(exp (- (fma (- t 1.0) (log a) (* (log z) y)) b))
16.0ms	(exp (- (fma (- t 1.0) (log a) (* (log z) y)) b))
18.0ms	(exp (- (fma (- t 1.0) (log a) (* (log z) y)) b))

series1.0s

Counts

4 → 12

Calls

4 calls:

437.0ms	(cbrt (cbrt x))
192.0ms	(exp (- (fma (- t 1.0) (log a) (* (log z) y)) b))
193.0ms	(exp (- (fma (- t 1.0) (log a) (* (log z) y)) b))
184.0ms	(exp (- (fma (- t 1.0) (log a) (* (log z) y)) b))

simplify2.5s

Counts

119 → 119

Iterations

Iter	Nodes
done	5002
3	2011
2	666
1	298
0	152

prune1.8s

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 0.7b

regimes3.0s

Accuracy

0% (0.7b remaining)

Error of 1.4b against oracle of 0.7b and baseline of 1.4b

bsearch0.0ms

simplify7.0ms

Iterations

Iter	Nodes
done	37
1	37
0	31

end0.0ms

sample15.0s

Algorithm

intervals

Results

8.3s	46021×	body	80	nan
3.2s	15223×	body	80	valid