Details

sample493.0ms

Algorithm

intervals

Results

273.0ms	1439×	body	80	nan
87.0ms	448×	body	80	valid

simplify6.6s

Counts: 1 → 1

prune21.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.1b

localize44.0ms

Local error

Found 4 expressions with local error:

0.9b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
0.8b	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
0.3b	(* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)))
0.3b	(* y (log z))

rewrite593.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 118

Calls

4 calls:

Slowest

262.0ms	(* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)))
237.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
77.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
13.0ms	(* y (log z))

series691.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

282.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
178.0ms	(* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)))
177.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
54.0ms	(* y (log z))

simplify2.6s

Counts: 130 → 130

prune2.8s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.7b

localize43.0ms

Local error

Found 4 expressions with local error:

0.9b	(pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
0.8b	(/ (* x (pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
0.3b	(* x (pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)))
0.3b	(* y (log z))

rewrite129.0ms

Algorithm

rewrite-expression-head

Rules

36×	`add-sqr-sqrt`
29×	`*-un-lft-identity`
27×	`add-cube-cbrt`
25×	`add-exp-log`
24×	`unpow-prod-up`
23×	`associate-r`
18×	`prod-diff`
13×	`add-cbrt-cube`
9×	`prod-exp`
8×	`pow1`
7×	`unpow-prod-down`
6×	`log-prod` `associate-l` `pow-exp`
5×	`pow-unpow` `div-exp`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`distribute-rgt-in` `pow-to-exp` `e-exp-1` `associate-/r*` `distribute-lft-in` `times-frac` `cbrt-unprod` `pow-sub` `sqr-pow`
2×	`cbrt-undiv` `sub-neg` `associate--l+` `associate-r/` `-commutative`
1×	`clear-num` `pow-pow` `frac-2neg` `pow-prod-down` `log-pow` `div-inv` `associate-/l*` `distribute-lft-out--` `difference-of-squares` `associate-/l/`

Counts

4 → 134

Calls

4 calls:

Slowest

39.0ms	(/ (* x (pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
38.0ms	(* x (pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)))
36.0ms	(pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
13.0ms	(* y (log z))

series807.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

276.0ms	(/ (* x (pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
271.0ms	(* x (pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)))
201.0ms	(pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
59.0ms	(* y (log z))

simplify855.0ms

Counts: 146 → 146

prune2.7s

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 0.6b

localize86.0ms

Local error

Found 4 expressions with local error:

0.9b	(pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
0.9b	(pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
0.9b	(pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
0.8b	(/ (* x (pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

rewrite153.0ms

Algorithm

rewrite-expression-head

Rules

36×	`add-sqr-sqrt` `unpow-prod-up` `*-un-lft-identity`
30×	`add-cube-cbrt`
27×	`prod-diff`
19×	`add-exp-log`
15×	`pow-unpow`
9×	`unpow-prod-down` `add-cbrt-cube`
8×	`pow-exp`
7×	`pow1`
5×	`div-exp`
4×	`expm1-log1p-u` `pow-to-exp` `e-exp-1` `prod-exp` `insert-posit16` `log1p-expm1-u` `pow-sub` `add-log-exp`
3×	`associate-/r*` `sub-neg` `pow-pow` `times-frac` `associate--l+` `distribute-lft-out--` `difference-of-squares` `sqr-pow`
2×	`cbrt-undiv`
1×	`clear-num` `frac-2neg` `associate-r/` `cbrt-unprod` `div-inv` `associate-/l` `associate-/l/`

Counts

4 → 136

Calls

4 calls:

Slowest

42.0ms	(pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
42.0ms	(pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
40.0ms	(pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
27.0ms	(/ (* x (pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

series922.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

303.0ms	(/ (* x (pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
217.0ms	(pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
206.0ms	(pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
196.0ms	(pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

simplify2.0s

Counts: 148 → 148

prune3.5s

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 0.5b

localize119.0ms

Local error

Found 4 expressions with local error:

0.9b	(exp (* 1 (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)))
0.9b	(pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
0.9b	(pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
0.8b	(/ (* x (exp (* 1 (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)))) y)

rewrite124.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt` `*-un-lft-identity`
36×	`prod-diff`
34×	`add-cube-cbrt`
24×	`unpow-prod-up` `exp-sum`
12×	`distribute-rgt-in` `distribute-lft-in`
10×	`pow-unpow` `add-exp-log`
9×	`add-cbrt-cube`
6×	`pow1` `unpow-prod-down` `add-log-exp`
4×	`expm1-log1p-u` `sub-neg` `pow-exp` `associate--l+` `insert-posit16` `log1p-expm1-u`
3×	`associate-/r*` `times-frac`
2×	`pow-to-exp` `cbrt-undiv` `e-exp-1` `pow-pow` `div-exp` `distribute-lft-out--` `pow-sub` `difference-of-squares` `sqr-pow`
1×	`exp-prod` `clear-num` `frac-2neg` `exp-to-pow` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l*` `rem-exp-log`

Counts

4 → 133

Calls

4 calls:

Slowest

37.0ms	(/ (* x (exp (* 1 (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)))) y)
34.0ms	(pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
27.0ms	(exp (* 1 (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)))
21.0ms	(pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

series763.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

231.0ms	(/ (* x (exp (* 1 (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)))) y)
192.0ms	(pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
177.0ms	(exp (* 1 (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)))
163.0ms	(pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

simplify904.0ms

Counts: 145 → 145

prune3.8s

Pruning

22 alts after pruning (21 fresh and 1 done)

Merged error: 0.5b

regimes3.0s

Accuracy

0% (1.3b remaining)

Error of 1.9b against oracle of 0.6b and baseline of 1.9b

bsearch9.0ms

end0.0ms

sample14.0s

Algorithm

intervals

Results

8.1s	44930×	body	80	nan
2.6s	15286×	body	80	valid