Details

sample505.0ms

Algorithm

intervals

Results

229.0ms	1512×	body	80	nan
63.0ms	484×	body	80	valid

simplify4.7s

Counts

1 → 1

Iterations

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

prune62.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.0b

localize90.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- t 1.0) (log a))
0.2b	(* 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))

rewrite561.0ms

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:

57.0ms	(* (- t 1.0) (log a))
13.0ms	(* y (log z))
307.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
170.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

series1.2s

Counts

4 → 12

Calls

4 calls:

130.0ms	(* (- t 1.0) (log a))
87.0ms	(* y (log z))
601.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
411.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

simplify3.9s

Counts

128 → 128

Iterations

Iter	Nodes
done	5000
2	1921
1	627
0	281

prune2.9s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0.8b

localize223.0ms

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))

rewrite2.0s

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:

1.5s	(/ (* 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)
120.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
163.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
157.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

series1.7s

Counts

4 → 12

Calls

4 calls:

587.0ms	(/ (* 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)
398.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
334.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
412.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

simplify3.8s

Counts

140 → 140

Iterations

Iter	Nodes
done	5000
2	1607
1	486
0	201

prune3.2s

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 0.7b

localize375.0ms

Local error

Found 4 expressions with local error:

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

rewrite635.0ms

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:

128.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
146.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
162.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
188.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

series1.4s

Counts

4 → 12

Calls

4 calls:

346.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
364.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
369.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
343.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

simplify6.0s

Counts

136 → 136

Iterations

Iter	Nodes
done	5001
3	2066
2	587
1	248
0	117

prune3.1s

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 0.7b

localize333.0ms

Local error

Found 4 expressions with local error:

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))
1.1b	(pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

rewrite512.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt` `*-un-lft-identity`
36×	`exp-sum` `prod-diff`
33×	`add-cube-cbrt`
22×	`add-log-exp`
15×	`exp-prod`
12×	`unpow-prod-up`
9×	`rem-exp-log`
6×	`diff-log`
5×	`pow1` `pow-unpow` `add-exp-log`
4×	`expm1-log1p-u` `sub-neg` `add-cbrt-cube` `associate--l+` `insert-posit16` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares`
3×	`sum-log` `unpow-prod-down` `exp-diff`
2×	`pow-exp`
1×	`pow-to-exp` `e-exp-1` `pow-pow` `pow-sub` `sqr-pow`

Counts

4 → 129

Calls

4 calls:

168.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
150.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
138.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
36.0ms	(pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

series1.5s

Counts

4 → 12

Calls

4 calls:

368.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
352.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
334.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
399.0ms	(pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

simplify6.7s

Counts

141 → 141

Iterations

Iter	Nodes
done	5001
3	3472
2	1075
1	410
0	163

prune3.8s

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 0.6b

regimes7.5s

Accuracy

0% (1.4b remaining)

Error of 2.0b against oracle of 0.6b and baseline of 2.0b

bsearch0.0ms

simplify36.0ms

Iterations

Iter	Nodes
done	37
2	37
1	35
0	27

end0.0ms

sample13.7s

Algorithm

intervals

Results

6.6s	45576×	body	80	nan
2.4s	15185×	body	80	valid