Details

sample562.0ms

Algorithm

intervals

Results

305.0ms	1547×	body	80	nan
129.0ms	521×	body	80	valid

simplify1.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	2012
6	2012
5	1717
4	477
3	179
2	71
1	33
0	17

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.1b

localize67.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- t 1.0) (log a))
0.3b	(* y (log z))
1.0b	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
1.1b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

rewrite329.0ms

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:

18.0ms	(* (- t 1.0) (log a))
7.0ms	(* y (log z))
206.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
95.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

series485.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(* (- t 1.0) (log a))
45.0ms	(* y (log z))
211.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
156.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

simplify1.4s

Counts

128 → 128

Iterations

Iter	Nodes
done	2000
3	2000
2	1919
1	626
0	281

prune1.1s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.9b

localize77.0ms

Local error

Found 4 expressions with local error:

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

rewrite1.2s

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:

950.0ms	(/ (* 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)
86.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
112.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
82.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

series831.0ms

Counts

4 → 12

Calls

4 calls:

299.0ms	(/ (* 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)
177.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
171.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
183.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

simplify1.7s

Counts

140 → 140

Iterations

Iter	Nodes
done	2003
3	2003
2	1596
1	482
0	201

prune1.6s

Pruning

24 alts after pruning (24 fresh and 0 done)

Merged error: 0.9b

localize122.0ms

Local error

Found 4 expressions with local error:

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

rewrite74.0ms

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:

2.0ms	(cbrt y)
24.0ms	(exp (- (fma (log a) (- t 1.0) (* y (log z))) b))
23.0ms	(exp (- (fma (log a) (- t 1.0) (* y (log z))) b))
23.0ms	(exp (- (fma (log a) (- t 1.0) (* y (log z))) b))

series895.0ms

Counts

4 → 12

Calls

4 calls:

305.0ms	(cbrt y)
196.0ms	(exp (- (fma (log a) (- t 1.0) (* y (log z))) b))
192.0ms	(exp (- (fma (log a) (- t 1.0) (* y (log z))) b))
202.0ms	(exp (- (fma (log a) (- t 1.0) (* y (log z))) b))

simplify1.7s

Counts

116 → 116

Iterations

Iter	Nodes
done	2005
4	2005
3	1987
2	651
1	287
0	141

prune1.6s

Pruning

26 alts after pruning (26 fresh and 0 done)

Merged error: 0.8b

localize149.0ms

Local error

Found 4 expressions with local error:

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

rewrite68.0ms

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:

12.0ms	(exp (- (fma (log a) (- t 1.0) (* y (log z))) b))
12.0ms	(exp (- (fma (log a) (- t 1.0) (* y (log z))) b))
18.0ms	(exp (- (fma (log a) (- t 1.0) (* y (log z))) b))
24.0ms	(exp (- (fma (log a) (- t 1.0) (* y (log z))) b))

series1.2s

Counts

4 → 12

Calls

4 calls:

601.0ms	(exp (- (fma (log a) (- t 1.0) (* y (log z))) b))
200.0ms	(exp (- (fma (log a) (- t 1.0) (* y (log z))) b))
191.0ms	(exp (- (fma (log a) (- t 1.0) (* y (log z))) b))
190.0ms	(exp (- (fma (log a) (- t 1.0) (* y (log z))) b))

simplify1.5s

Counts

132 → 132

Iterations

Iter	Nodes
done	2003
4	2003
3	1838
2	561
1	245
0	117

prune1.8s

Pruning

26 alts after pruning (26 fresh and 0 done)

Merged error: 0.8b

regimes3.4s

Accuracy

0% (0.8b remaining)

Error of 1.4b against oracle of 0.6b and baseline of 1.4b

bsearch0.0ms

simplify13.0ms

Iterations

Iter	Nodes
done	37
2	37
1	35
0	28

end0.0ms

sample13.7s

Algorithm

intervals

Results

7.3s	45826×	body	80	nan
3.1s	15511×	body	80	valid