Details

sample487.0ms

Algorithm

intervals

Results

183.0ms	1521×	body	80	nan
95.0ms	485×	body	80	valid

simplify1.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
5	3079
4	563
3	190
2	73
1	33
0	17

prune22.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 2.0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- t 1.0) (log a))
0.3b	(* y (log z))
0.8b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
2.0b	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

rewrite413.0ms

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` `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 → 112

Calls

4 calls:

37.0ms	(* (- t 1.0) (log a))
13.0ms	(* y (log z))
119.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
237.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

series600.0ms

Counts

4 → 12

Calls

4 calls:

94.0ms	(* (- t 1.0) (log a))
65.0ms	(* y (log z))
179.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
262.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

simplify1.1s

Counts

124 → 124

Iterations

Iter	Nodes
done	5001
2	2439
1	624
0	277

prune1.1s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize26.0ms

Local error

Found 4 expressions with local error:

0.2b	(pow a (- t 1.0))
0.2b	(/ (* (pow a (- t 1.0)) (pow z y)) (exp b))
0.5b	(* (pow a (- t 1.0)) (pow z y))
0.5b	(/ x (/ y (/ (* (pow a (- t 1.0)) (pow z y)) (exp b))))

rewrite142.0ms

Algorithm

rewrite-expression-head

Rules

201×	`times-frac`
121×	`add-sqr-sqrt`
109×	`*-un-lft-identity`
107×	`add-cube-cbrt`
68×	`add-exp-log`
43×	`div-exp`
29×	`associate-/r*`
27×	`prod-exp`
25×	`add-cbrt-cube`
22×	`unpow-prod-up`
19×	`pow-to-exp` `pow-exp`
18×	`associate-l` `prod-diff` `div-inv`
15×	`unpow-prod-down`
11×	`cbrt-undiv`
9×	`unswap-sqr` `sqr-pow`
7×	`associate-r`
5×	`pow1` `pow-unpow` `associate-/r/`
4×	`expm1-log1p-u` `log1p-expm1-u` `associate-/l*` `add-log-exp`
3×	`cbrt-unprod` `pow-sub`
2×	`clear-num` `sub-neg` `frac-2neg` `associate-*l/`
1×	`pow-pow` `*-commutative` `distribute-lft-out--` `difference-of-squares` `associate-/l/`

Counts

4 → 256

Calls

4 calls:

11.0ms	(pow a (- t 1.0))
29.0ms	(/ (* (pow a (- t 1.0)) (pow z y)) (exp b))
45.0ms	(* (pow a (- t 1.0)) (pow z y))
33.0ms	(/ x (/ y (/ (* (pow a (- t 1.0)) (pow z y)) (exp b))))

series839.0ms

Counts

4 → 12

Calls

4 calls:

92.0ms	(pow a (- t 1.0))
244.0ms	(/ (* (pow a (- t 1.0)) (pow z y)) (exp b))
184.0ms	(* (pow a (- t 1.0)) (pow z y))
317.0ms	(/ x (/ y (/ (* (pow a (- t 1.0)) (pow z y)) (exp b))))

simplify899.0ms

Counts

268 → 268

Iterations

Iter	Nodes
done	5001
1	1439
0	507

prune2.6s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize51.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ y (/ (/ (* (pow z y) (pow a t)) (pow a 1.0)) (exp b)))
0.2b	(/ (/ (* (pow z y) (pow a t)) (pow a 1.0)) (exp b))
0.4b	(* (pow z y) (pow a t))
0.5b	(/ x (/ y (/ (/ (* (pow z y) (pow a t)) (pow a 1.0)) (exp b))))

rewrite251.0ms

Algorithm

rewrite-expression-head

Rules

1828×	`times-frac`
687×	`add-sqr-sqrt`
675×	`*-un-lft-identity` `add-cube-cbrt`
296×	`add-exp-log`
280×	`div-exp`
168×	`unpow-prod-down`
156×	`associate-/r*`
90×	`pow-to-exp` `pow-exp` `prod-exp`
75×	`div-inv`
60×	`sqr-pow`
49×	`add-cbrt-cube`
28×	`cbrt-undiv`
17×	`associate-/l*`
9×	`unswap-sqr`
7×	`associate-r` `associate-l`
6×	`associate-/r/`
4×	`expm1-log1p-u` `pow1` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`clear-num` `frac-2neg`
1×	`*-commutative` `associate-/l/`

Counts

4 → 855

Calls

4 calls:

31.0ms	(/ y (/ (/ (* (pow z y) (pow a t)) (pow a 1.0)) (exp b)))
19.0ms	(/ (/ (* (pow z y) (pow a t)) (pow a 1.0)) (exp b))
26.0ms	(* (pow z y) (pow a t))
90.0ms	(/ x (/ y (/ (/ (* (pow z y) (pow a t)) (pow a 1.0)) (exp b))))

series1.7s

Counts

4 → 12

Calls

4 calls:

485.0ms	(/ y (/ (/ (* (pow z y) (pow a t)) (pow a 1.0)) (exp b)))
486.0ms	(/ (/ (* (pow z y) (pow a t)) (pow a 1.0)) (exp b))
149.0ms	(* (pow z y) (pow a t))
563.0ms	(/ x (/ y (/ (/ (* (pow z y) (pow a t)) (pow a 1.0)) (exp b))))

simplify2.3s

Counts

867 → 867

Iterations

Iter	Nodes
done	5000
1	4237
0	1379

prune8.9s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize57.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (fma (* -1 (- (log z))) y (- (* t (- (log a))))) b)
0.1b	(fma (* -1 (- (log z))) y (- (* t (- (log a)))))
0.2b	(* t (- (log a)))
0.5b	(/ x (* (pow (pow a 1.0) 1.0) (/ y (exp (- (fma (* -1 (- (log z))) y (- (* t (- (log a))))) b)))))

rewrite129.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-exp-log`
23×	`add-sqr-sqrt`
21×	`*-un-lft-identity`
19×	`add-cube-cbrt`
16×	`div-exp`
15×	`add-cbrt-cube`
12×	`associate-r`
11×	`prod-exp`
9×	`prod-diff`
8×	`pow1` `pow-exp`
6×	`log-prod` `distribute-neg-in` `add-log-exp`
4×	`distribute-lft-neg-in` `expm1-log1p-u` `pow-to-exp` `cbrt-undiv` `distribute-rgt-neg-in` `log1p-expm1-u`
3×	`distribute-rgt-in` `distribute-lft-in` `times-frac` `fma-neg` `associate-l` `cbrt-unprod` `associate-/l*`
2×	`log-pow` `fma-udef`
1×	`clear-num` `associate-/r` `neg-mul-1` `sub-neg` `frac-2neg` `flip3--` `diff-log` `pow-prod-down` `associate--l+` `associate-r/` `associate-/r/` `*-commutative` `distribute-rgt-neg-out` `div-inv` `flip--` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 109

Calls

4 calls:

11.0ms	(- (fma (* -1 (- (log z))) y (- (* t (- (log a))))) b)
1.0ms	(fma (* -1 (- (log z))) y (- (* t (- (log a)))))
28.0ms	(* t (- (log a)))
85.0ms	(/ x (* (pow (pow a 1.0) 1.0) (/ y (exp (- (fma (* -1 (- (log z))) y (- (* t (- (log a))))) b)))))

series862.0ms

Counts

4 → 12

Calls

4 calls:

121.0ms	(- (fma (* -1 (- (log z))) y (- (* t (- (log a))))) b)
164.0ms	(fma (* -1 (- (log z))) y (- (* t (- (log a)))))
57.0ms	(* t (- (log a)))
520.0ms	(/ x (* (pow (pow a 1.0) 1.0) (/ y (exp (- (fma (* -1 (- (log z))) y (- (* t (- (log a))))) b)))))

simplify1.2s

Counts

121 → 121

Iterations

Iter	Nodes
done	5002
2	2769
1	701
0	266

prune1.1s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes787.0ms

Accuracy

0% (1.2b remaining)

Error of 1.2b against oracle of 0.1b and baseline of 1.2b

bsearch0.0ms

simplify2.9s

Iterations

Iter	Nodes
done	5001
4	1188
3	186
2	58
1	35
0	23

end0.0ms

sample12.6s

Algorithm

intervals

Results

6.1s	45456×	body	80	nan
1.9s	15204×	body	80	valid