Details

sample111.0ms

Algorithm

intervals

Results

41.0ms	56×	body	1280	valid
22.0ms	127×	body	80	valid
21.0ms	39×	body	640	valid
9.0ms	24×	body	320	valid
2.0ms	10×	body	160	valid

simplify14.3s

Counts

1 → 1

Iterations

Iter	Nodes
9	10145
8	1977
7	586
6	228
5	100
4	48
3	27
2	20
1	16
0	9

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.3b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ 1 (exp (* -2 x)))
0.0b	(/ 2 (+ 1 (exp (* -2 x))))
2.8b	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)

rewrite96.0ms

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:

9.0ms	(+ 1 (exp (* -2 x)))
20.0ms	(/ 2 (+ 1 (exp (* -2 x))))
66.0ms	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)

series120.0ms

Counts

3 → 9

Calls

3 calls:

11.0ms	(+ 1 (exp (* -2 x)))
28.0ms	(/ 2 (+ 1 (exp (* -2 x))))
81.0ms	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)

simplify13.4s

Counts

76 → 76

Iterations

Iter	Nodes
4	4219
3	1538
2	617
1	264
0	120

prune728.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (exp (* -2 x)) 1)
0.0b	(/ 2 (+ (exp (* -2 x)) 1))
2.8b	(- (/ 2 (+ (exp (* -2 x)) 1)) 1)

rewrite113.0ms

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:

9.0ms	(+ (exp (* -2 x)) 1)
26.0ms	(/ 2 (+ (exp (* -2 x)) 1))
77.0ms	(- (/ 2 (+ (exp (* -2 x)) 1)) 1)

series130.0ms

Counts

3 → 9

Calls

3 calls:

18.0ms	(+ (exp (* -2 x)) 1)
24.0ms	(/ 2 (+ (exp (* -2 x)) 1))
89.0ms	(- (/ 2 (+ (exp (* -2 x)) 1)) 1)

simplify10.9s

Counts

76 → 76

Iterations

Iter	Nodes
4	4451
3	1417
2	565
1	255
0	117

prune661.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (/ 2 (+ (exp (* -2 x)) 1)))
0.0b	(+ (exp (* -2 x)) 1)
0.0b	(/ 2 (+ (exp (* -2 x)) 1))
2.8b	(- (log (exp (/ 2 (+ (exp (* -2 x)) 1)))) 1)

rewrite380.0ms

Algorithm

rewrite-expression-head

Rules

42×	`*-un-lft-identity`
26×	`add-sqr-sqrt`
24×	`times-frac`
22×	`add-cube-cbrt`
18×	`exp-prod`
8×	`distribute-lft-out` `add-log-exp`
6×	`add-cbrt-cube` `add-exp-log`
5×	`pow1`
4×	`associate-/r*` `associate-/r/` `insert-posit16`
3×	`log-prod` `flip3-+` `associate--l+` `flip-+` `associate-/l*`
2×	`div-inv` `distribute-lft-out--` `difference-of-squares`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `sub-neg` `frac-2neg` `flip3--` `diff-log` `difference-of-sqr-1` `div-exp` `log-pow` `flip--` `rem-exp-log`

Counts

4 → 95

Calls

4 calls:

42.0ms	(exp (/ 2 (+ (exp (* -2 x)) 1)))
8.0ms	(+ (exp (* -2 x)) 1)
12.0ms	(/ 2 (+ (exp (* -2 x)) 1))
316.0ms	(- (log (exp (/ 2 (+ (exp (* -2 x)) 1)))) 1)

series177.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(exp (/ 2 (+ (exp (* -2 x)) 1)))
11.0ms	(+ (exp (* -2 x)) 1)
22.0ms	(/ 2 (+ (exp (* -2 x)) 1))
79.0ms	(- (log (exp (/ 2 (+ (exp (* -2 x)) 1)))) 1)

simplify4.8s

Counts

107 → 107

Iterations

Iter	Nodes
4	4475
3	1627
2	688
1	300
0	148

prune955.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 2 (+ (exp (* -2 x)) 1))
0.0b	(/ 2 (+ (exp (* -2 x)) 1))
0.0b	(/ 2 (+ (exp (* -2 x)) 1))
2.7b	(- (* (log (exp (/ 2 (+ (exp (* -2 x)) 1)))) (log (exp (/ 2 (+ (exp (* -2 x)) 1))))) (* 1 1))

rewrite108.0ms

Algorithm

rewrite-expression-head

Rules

57×	`*-un-lft-identity`
36×	`times-frac`
33×	`add-sqr-sqrt` `add-cube-cbrt`
12×	`associate-/r*` `distribute-lft-out`
10×	`add-cbrt-cube` `add-exp-log`
9×	`associate-/l*`
6×	`log-prod` `associate--l+` `associate-/r/` `add-log-exp`
4×	`pow1` `insert-posit16`
3×	`distribute-rgt-in` `cbrt-undiv` `clear-num` `frac-2neg` `distribute-lft-in` `flip3-+` `div-exp` `flip-+` `div-inv`
1×	`sub-neg` `flip3--` `diff-log` `flip--` `difference-of-squares`

Counts

4 → 122

Calls

4 calls:

19.0ms	(/ 2 (+ (exp (* -2 x)) 1))
14.0ms	(/ 2 (+ (exp (* -2 x)) 1))
15.0ms	(/ 2 (+ (exp (* -2 x)) 1))
57.0ms	(- (* (log (exp (/ 2 (+ (exp (* -2 x)) 1)))) (log (exp (/ 2 (+ (exp (* -2 x)) 1))))) (* 1 1))

series193.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(/ 2 (+ (exp (* -2 x)) 1))
36.0ms	(/ 2 (+ (exp (* -2 x)) 1))
27.0ms	(/ 2 (+ (exp (* -2 x)) 1))
97.0ms	(- (* (log (exp (/ 2 (+ (exp (* -2 x)) 1)))) (log (exp (/ 2 (+ (exp (* -2 x)) 1))))) (* 1 1))

simplify4.2s

Counts

134 → 134

Iterations

Iter	Nodes
4	5016
3	1516
2	575
1	259
0	118

prune1.8s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

regimes276.0ms

Accuracy

99.8% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 29.3b

bsearch2.0ms

simplify9.0ms

Iterations

Iter	Nodes
2	34
1	34
0	25

end0.0ms

sample2.5s

Algorithm

intervals

Results

1.0s	1687×	body	1280	valid
554.0ms	1223×	body	640	valid
448.0ms	4089×	body	80	valid
245.0ms	670×	body	320	valid
57.0ms	331×	body	160	valid