Details

sample95.0ms

Algorithm

intervals

Results

35.0ms	54×	body	1280	valid
21.0ms	136×	body	80	valid
16.0ms	39×	body	640	valid
5.0ms	16×	body	320	valid
2.0ms	11×	body	160	valid

simplify15.1s

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.1b

localize28.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 2 (+ 1 (exp (* -2 x))))
2.9b	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)

rewrite91.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 54

Calls

2 calls:

21.0ms	(/ 2 (+ 1 (exp (* -2 x))))
69.0ms	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)

series127.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(/ 2 (+ 1 (exp (* -2 x))))
88.0ms	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)

simplify5.3s

Counts

60 → 60

Iterations

Iter	Nodes
4	3869
3	1400
2	554
1	231
0	107

prune244.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize24.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 2 (+ (exp (* -2 x)) 1))
2.9b	(- (/ 2 (+ (exp (* -2 x)) 1)) 1)

rewrite91.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 54

Calls

2 calls:

18.0ms	(/ 2 (+ (exp (* -2 x)) 1))
72.0ms	(- (/ 2 (+ (exp (* -2 x)) 1)) 1)

series93.0ms

Counts

2 → 6

Calls

2 calls:

22.0ms	(/ 2 (+ (exp (* -2 x)) 1))
71.0ms	(- (/ 2 (+ (exp (* -2 x)) 1)) 1)

simplify3.8s

Counts

60 → 60

Iterations

Iter	Nodes
4	3533
3	1204
2	481
1	224
0	104

prune215.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (pow x 5) 2/15)
0.1b	(* (* x x) (* x -1/3))
0.4b	(* x -1/3)
23.0b	(+ (* (* x x) (* x -1/3)) (* (pow x 5) 2/15))

rewrite105.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-exp-log`
20×	`add-cbrt-cube`
18×	`pow1`
16×	`add-sqr-sqrt`
12×	`prod-exp`
11×	`associate-l`
10×	`cbrt-unprod`
9×	`*-un-lft-identity` `pow-prod-down` `add-cube-cbrt`
7×	`associate-r`
6×	`add-log-exp`
4×	`unpow-prod-down` `insert-posit16` `unswap-sqr`
3×	`*-commutative`
2×	`sqr-pow`
1×	`pow-to-exp` `+-commutative` `sum-log` `flip3-+` `pow-exp` `flip-+`

Counts

4 → 80

Calls

4 calls:

16.0ms	(* (pow x 5) 2/15)
48.0ms	(* (* x x) (* x -1/3))
11.0ms	(* x -1/3)
30.0ms	(+ (* (* x x) (* x -1/3)) (* (pow x 5) 2/15))

series384.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(* (pow x 5) 2/15)
58.0ms	(* (* x x) (* x -1/3))
27.0ms	(* x -1/3)
228.0ms	(+ (* (* x x) (* x -1/3)) (* (pow x 5) 2/15))

simplify2.1s

Counts

92 → 92

Iterations

Iter	Nodes
3	3907
2	991
1	299
0	123

prune300.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes194.0ms

Accuracy

94.7% (1.6b remaining)

Error of 1.6b against oracle of 0.0b and baseline of 29.1b

bsearch2.0ms

simplify8.0ms

Iterations

Iter	Nodes
2	35
1	35
0	25

end0.0ms

sample2.4s

Algorithm

intervals

Results

1.1s	1642×	body	1280	valid
597.0ms	1289×	body	640	valid
363.0ms	4119×	body	80	valid
166.0ms	617×	body	320	valid
56.0ms	333×	body	160	valid