Details

sample458.0ms

Algorithm

intervals

Results

240.0ms	1289×	body	80	nan
92.0ms	467×	body	80	valid

simplify4.3s

Counts

1 → 1

Iterations

Iter	Nodes
6	8048
5	1465
4	479
3	179
2	71
1	33
0	17

prune26.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.9b

localize43.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- t 1.0) (log a))
0.2b	(* y (log z))
0.3b	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
0.9b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

rewrite344.0ms

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:

35.0ms	(* (- t 1.0) (log a))
13.0ms	(* y (log z))
194.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
98.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

series588.0ms

Counts

4 → 12

Calls

4 calls:

88.0ms	(* (- t 1.0) (log a))
56.0ms	(* y (log z))
260.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
183.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

simplify2.8s

Counts

128 → 128

Iterations

Iter	Nodes
3	5974
2	1604
1	599
0	281

prune2.2s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.8b

localize91.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ (* x (* (* (cbrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) (cbrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)))) (cbrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))) y)
0.9b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
0.9b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
0.9b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

rewrite1.1s

Algorithm

rewrite-expression-head

Rules

36×	`exp-sum`
33×	`add-sqr-sqrt` `*-un-lft-identity`
27×	`prod-diff` `add-cube-cbrt`
22×	`add-log-exp`
18×	`add-exp-log`
15×	`exp-prod` `exp-diff`
14×	`add-cbrt-cube`
12×	`cbrt-div`
10×	`associate-*r/`
9×	`rem-exp-log`
7×	`associate-/l/`
6×	`diff-log` `prod-exp` `cbrt-unprod`
5×	`frac-times` `associate-*l/`
4×	`expm1-log1p-u` `pow1` `cbrt-undiv` `div-exp` `insert-posit16` `log1p-expm1-u`
3×	`associate-/r*` `sum-log` `sub-neg` `times-frac` `associate--l+` `distribute-lft-out--` `difference-of-squares`
1×	`clear-num` `frac-2neg` `div-inv` `associate-/l*`

Counts

4 → 128

Calls

4 calls:

860.0ms	(/ (* x (* (* (cbrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) (cbrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)))) (cbrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))) y)
81.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
81.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
119.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

series793.0ms

Counts

4 → 12

Calls

4 calls:

269.0ms	(/ (* x (* (* (cbrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) (cbrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)))) (cbrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))) y)
172.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
182.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
170.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

simplify3.5s

Counts

140 → 140

Iterations

Iter	Nodes
3	5629
2	1412
1	467
0	201

prune3.1s

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 0.7b

localize77.0ms

Local error

Found 4 expressions with local error:

0.9b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
0.9b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
0.9b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
0.9b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

rewrite404.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 124

Calls

4 calls:

121.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
90.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
78.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
111.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

series708.0ms

Counts

4 → 12

Calls

4 calls:

179.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
173.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
155.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
200.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

simplify3.6s

Counts

136 → 136

Iterations

Iter	Nodes
4	6793
3	1656
2	544
1	239
0	117

prune3.6s

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 0.7b

localize75.0ms

Local error

Found 4 expressions with local error:

0.9b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
0.9b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
0.9b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
0.9b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

rewrite386.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 124

Calls

4 calls:

73.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
114.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
104.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
93.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

series679.0ms

Counts

4 → 12

Calls

4 calls:

156.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
204.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
160.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
160.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

simplify3.9s

Counts

136 → 136

Iterations

Iter	Nodes
4	6793
3	1656
2	544
1	239
0	117

prune3.7s

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 0.7b

regimes2.3s

Accuracy

0% (1.2b remaining)

Error of 1.8b against oracle of 0.6b and baseline of 1.8b

bsearch0.0ms

simplify13.0ms

Iterations

Iter	Nodes
2	36
1	36
0	28

end0.0ms

sample13.9s

Algorithm

intervals

Results

8.0s	46061×	body	80	nan
2.7s	15317×	body	80	valid