Details

sample72.0ms

Algorithm

intervals

Results

26.0ms	53×	body	1280	valid
16.0ms	43×	body	640	valid
11.0ms	133×	body	80	valid
4.0ms	14×	body	320	valid
2.0ms	13×	body	160	valid

simplify1.3s

Counts: 1 → 1

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.5b

localize13.0ms

Local error

Found 3 expressions with local error:

3.6b	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
0.0b	(/ 2 (+ 1 (exp (* -2 x))))
0.0b	(+ 1 (exp (* -2 x)))

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

26×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
15×	`times-frac`
12×	`add-cube-cbrt`
7×	`add-log-exp`
5×	`add-cbrt-cube` `add-exp-log` `distribute-lft-out`
4×	`associate-/r*` `difference-of-squares`
3×	`pow1` `insert-posit16` `associate-/l*`
2×	`flip3-+` `difference-of-sqr-1` `associate-/r/` `flip-+`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `sub-neg` `frac-2neg` `flip3--` `diff-log` `div-exp` `div-inv` `flip--` `distribute-lft-out--`

Counts

3 → 67

Calls

3 calls:

Slowest

56.0ms	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
20.0ms	(/ 2 (+ 1 (exp (* -2 x))))
10.0ms	(+ 1 (exp (* -2 x)))

series138.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

100.0ms	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
26.0ms	(/ 2 (+ 1 (exp (* -2 x))))
11.0ms	(+ 1 (exp (* -2 x)))

simplify2.3s

Counts: 76 → 76

prune688.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 3 expressions with local error:

3.6b	(- (/ 2 (+ (exp (* -2 x)) 1)) 1)
0.0b	(/ 2 (+ (exp (* -2 x)) 1))
0.0b	(+ (exp (* -2 x)) 1)

rewrite146.0ms

Algorithm

rewrite-expression-head

Rules

26×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
15×	`times-frac`
12×	`add-cube-cbrt`
7×	`add-log-exp`
5×	`add-cbrt-cube` `add-exp-log` `distribute-lft-out`
4×	`associate-/r*` `difference-of-squares`
3×	`pow1` `insert-posit16` `associate-/l*`
2×	`flip3-+` `difference-of-sqr-1` `associate-/r/` `flip-+`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `sub-neg` `frac-2neg` `flip3--` `diff-log` `div-exp` `div-inv` `flip--` `distribute-lft-out--`

Counts

3 → 67

Calls

3 calls:

Slowest

103.0ms	(- (/ 2 (+ (exp (* -2 x)) 1)) 1)
25.0ms	(/ 2 (+ (exp (* -2 x)) 1))
17.0ms	(+ (exp (* -2 x)) 1)

series109.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

73.0ms	(- (/ 2 (+ (exp (* -2 x)) 1)) 1)
21.0ms	(/ 2 (+ (exp (* -2 x)) 1))
15.0ms	(+ (exp (* -2 x)) 1)

simplify2.5s

Counts: 76 → 76

prune715.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 4 expressions with local error:

4.1b	(- (sqrt (/ 2 (+ 1 (exp (* -2 x))))) 1)
0.3b	(* (+ (sqrt (/ 2 (+ 1 (exp (* -2 x))))) 1) (- (sqrt (/ 2 (+ 1 (exp (* -2 x))))) 1))
0.0b	(/ 2 (+ 1 (exp (* -2 x))))
0.0b	(/ 2 (+ 1 (exp (* -2 x))))

rewrite416.0ms

Algorithm

rewrite-expression-head

Rules

59×	`add-sqr-sqrt`
55×	`*-un-lft-identity`
30×	`times-frac`
24×	`add-cube-cbrt`
15×	`sqrt-prod`
14×	`associate-r`
12×	`difference-of-squares`
10×	`add-cbrt-cube` `add-exp-log` `distribute-lft-out`
8×	`associate-/r*`
6×	`pow1` `difference-of-sqr-1` `associate-/l*` `add-log-exp`
5×	`flip3-+` `associate-l` `flip-+`
4×	`frac-times` `flip3--` `associate-/r/` `insert-posit16` `flip--` `distribute-lft-out--`
3×	`sub-neg`
2×	`distribute-rgt-in` `cbrt-undiv` `clear-num` `frac-2neg` `distribute-lft-in` `div-exp` `associate-l/` `associate-r/` `div-inv`
1×	`diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 136

Calls

4 calls:

Slowest

343.0ms	(* (+ (sqrt (/ 2 (+ 1 (exp (* -2 x))))) 1) (- (sqrt (/ 2 (+ 1 (exp (* -2 x))))) 1))
49.0ms	(- (sqrt (/ 2 (+ 1 (exp (* -2 x))))) 1)
11.0ms	(/ 2 (+ 1 (exp (* -2 x))))
10.0ms	(/ 2 (+ 1 (exp (* -2 x))))

series610.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

434.0ms	(* (+ (sqrt (/ 2 (+ 1 (exp (* -2 x))))) 1) (- (sqrt (/ 2 (+ 1 (exp (* -2 x))))) 1))
119.0ms	(- (sqrt (/ 2 (+ 1 (exp (* -2 x))))) 1)
32.0ms	(/ 2 (+ 1 (exp (* -2 x))))
25.0ms	(/ 2 (+ 1 (exp (* -2 x))))

simplify2.4s

Counts: 148 → 148

prune1.5s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 4 expressions with local error:

4.1b	(- (sqrt (/ 2 (+ 1 (exp (* -2 x))))) 1)
4.1b	(- (sqrt (/ 2 (+ 1 (exp (* -2 x))))) 1)
4.1b	(- (sqrt (/ 2 (+ 1 (exp (* -2 x))))) 1)
0.3b	(* (cbrt (- (sqrt (/ 2 (+ 1 (exp (* -2 x))))) 1)) (cbrt (- (sqrt (/ 2 (+ 1 (exp (* -2 x))))) 1)))

rewrite415.0ms

Algorithm

rewrite-expression-head

Rules

172×	`add-sqr-sqrt`
96×	`cbrt-prod`
74×	`*-un-lft-identity`
67×	`sqrt-prod`
60×	`difference-of-squares`
35×	`difference-of-sqr-1` `swap-sqr`
25×	`times-frac`
17×	`associate-r` `associate-l`
16×	`distribute-lft-out--`
12×	`cbrt-div` `add-cube-cbrt`
11×	`pow1`
10×	`add-log-exp`
9×	`flip3--` `flip--`
6×	`pow1/3` `add-exp-log`
4×	`frac-times` `add-cbrt-cube` `insert-posit16` `unswap-sqr`
3×	`sub-neg` `diff-log`
2×	`pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 172

Calls

4 calls:

Slowest

230.0ms	(* (cbrt (- (sqrt (/ 2 (+ 1 (exp (* -2 x))))) 1)) (cbrt (- (sqrt (/ 2 (+ 1 (exp (* -2 x))))) 1)))
72.0ms	(- (sqrt (/ 2 (+ 1 (exp (* -2 x))))) 1)
56.0ms	(- (sqrt (/ 2 (+ 1 (exp (* -2 x))))) 1)
50.0ms	(- (sqrt (/ 2 (+ 1 (exp (* -2 x))))) 1)

series1.2s

Counts

4 → 12

Calls

4 calls:

Slowest

744.0ms	(* (cbrt (- (sqrt (/ 2 (+ 1 (exp (* -2 x))))) 1)) (cbrt (- (sqrt (/ 2 (+ 1 (exp (* -2 x))))) 1)))
157.0ms	(- (sqrt (/ 2 (+ 1 (exp (* -2 x))))) 1)
143.0ms	(- (sqrt (/ 2 (+ 1 (exp (* -2 x))))) 1)
137.0ms	(- (sqrt (/ 2 (+ 1 (exp (* -2 x))))) 1)

simplify2.1s

Counts: 184 → 184

prune2.4s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

regimes161.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 29.3b

bsearch157.0ms

end0.0ms

sample2.4s

Algorithm

intervals

Results

929.0ms	1662×	body	1280	valid
599.0ms	1256×	body	640	valid
406.0ms	4113×	body	80	valid
189.0ms	646×	body	320	valid
54.0ms	323×	body	160	valid