Details

sample714.0ms

Algorithm

intervals

Results

462.0ms	1512×	body	80	nan
73.0ms	484×	body	80	valid

simplify4.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	5004
5	1760
4	460
3	167
2	63
1	32
0	17

prune23.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.9b

localize84.0ms

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))

rewrite524.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
19×	`*-un-lft-identity`
15×	`add-cube-cbrt`
13×	`add-cbrt-cube`
12×	`log-prod` `add-exp-log`
10×	`pow1` `add-log-exp`
8×	`associate-r` `associate-l`
6×	`distribute-rgt-in` `distribute-lft-in`
5×	`exp-prod`
4×	`insert-posit16`
3×	`associate-/r*` `times-frac` `exp-sum` `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 → 99

Calls

4 calls:

53.0ms	(* (- t 1.0) (log a))
20.0ms	(* y (log z))
290.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
150.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

series991.0ms

Counts

4 → 12

Calls

4 calls:

98.0ms	(* (- t 1.0) (log a))
64.0ms	(* y (log z))
477.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
352.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

simplify3.4s

Counts

111 → 111

Iterations

Iter	Nodes
done	5001
2	1676
1	536
0	237

prune2.3s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.8b

localize164.0ms

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))

rewrite1.6s

Algorithm

rewrite-expression-head

Rules

22×	`add-log-exp`
18×	`add-exp-log`
15×	`add-sqr-sqrt` `exp-prod` `*-un-lft-identity` `exp-diff`
14×	`add-cbrt-cube`
12×	`cbrt-div`
10×	`associate-*r/`
9×	`exp-sum` `add-cube-cbrt` `rem-exp-log`
7×	`associate-/l/`
6×	`diff-log` `prod-exp` `cbrt-unprod`
5×	`frac-times` `associate-*l/`
4×	`pow1` `cbrt-undiv` `div-exp` `insert-posit16`
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 → 93

Calls

4 calls:

1.2s	(/ (* 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)
184.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
126.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
122.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

series1.6s

Counts

4 → 12

Calls

4 calls:

508.0ms	(/ (* 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)
373.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
390.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
372.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

simplify3.6s

Counts

105 → 105

Iterations

Iter	Nodes
done	5000
2	1386
1	401
0	161

prune2.5s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0.7b

localize400.0ms

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))

rewrite587.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 80

Calls

4 calls:

184.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
144.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
120.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
131.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

series1.3s

Counts

4 → 12

Calls

4 calls:

341.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
257.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
332.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
324.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

simplify3.3s

Counts

92 → 92

Iterations

Iter	Nodes
done	5001
3	1499
2	405
1	169
0	79

prune2.5s

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 0.7b

localize379.0ms

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))

rewrite478.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-log-exp`
17×	`add-sqr-sqrt` `*-un-lft-identity`
15×	`exp-prod`
9×	`exp-sum` `add-cube-cbrt` `rem-exp-log`
6×	`diff-log`
5×	`pow1` `pow-unpow` `add-exp-log`
4×	`sub-neg` `add-cbrt-cube` `associate--l+` `insert-posit16` `distribute-lft-out--` `difference-of-squares`
3×	`unpow-prod-up` `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 → 85

Calls

4 calls:

145.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
159.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
138.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
32.0ms	(pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

series1.3s

Counts

4 → 12

Calls

4 calls:

329.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
307.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
334.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
366.0ms	(pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

simplify4.8s

Counts

97 → 97

Iterations

Iter	Nodes
done	5000
3	2553
2	688
1	264
0	111

prune2.3s

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 0.6b

regimes7.5s

Accuracy

0% (1.4b remaining)

Error of 2.0b against oracle of 0.7b and baseline of 2.0b

bsearch0.0ms

simplify19.0ms

Iterations

Iter	Nodes
done	37
2	37
1	35
0	27

end0.0ms

sample13.3s

Algorithm

intervals

Results

6.7s	45576×	body	80	nan
2.3s	15185×	body	80	valid